Needdd help pleaseeeee

Needdd Help Pleaseeeee

Answers

Answer 1

The value of the matrix 4G + 2F is [tex]4[G] + 2[F] = \begin{bmatrix}34 & -4 & 28 & -18 & 58 \\-42 & -8 & 16 & 30 & 8 \\24 & 34 & 4 & 34\end{bmatrix}[/tex]

Matrices are an essential tool in mathematics and can be used to solve a variety of problems. In this case, we are given two matrices G and F, and we are asked to find the value of 4G + 2F.

To understand how to calculate the value of 4G + 2F, we first need to understand what it means to multiply a matrix by a scalar. When we multiply a matrix by a scalar, we simply multiply every element in the matrix by that scalar.

Now that we understand scalar multiplication, we can use it to find the value of 4G + 2F. We simply need to multiply each matrix by its respective scalar and then add the results element-wise.

[tex]4G = 4\begin{bmatrix}8 &-5 &8 &-2 &10 \\-6& -7&1 & 9& 2\\4&6 &3 &7 &5 \\-4 & -3& 0& -10& -9\end{bmatrix}= \begin{bmatrix}32 & -20 & 32 & -8 & 40 \\-24 & -28 & 4 & 36 & 8 \\16 & 24 & 12 & 28 & 20 \\-16 & -12 & 0 & -40 & -36\end{bmatrix}[/tex]

Now we have to find the value of 2[F]. that can be calculated as follows

[tex]2F = 2\begin{bmatrix}1 &8 &-2 &-5 &9 \\-9& 10&6 &-3&0\\4&5 &-4 &3 &7 \\2 &-10&-6 & -1& -8\end{bmatrix}= \begin{bmatrix}2 & 16 & -4 & -10 & 18 \\-18 & 20 & 12 & -6 & 0 \\8 & 10 & -8 & 6 & 14 \\4 & -20 & -12 & -2 & -16\end{bmatrix}[/tex]

Now we can add the two matrices element-wise to get the final result:

[tex]4G + 2F = \begin{bmatrix}32 & -20 & 32 & -8 & 40 \\-24 & -28 & 4 & 36 & 8 \\16 & 24 & 12 & 28 & 20 \\-16 & -12 & 0 & -40 & -36\end{bmatrix} +\begin{bmatrix}2 & 16 & -4 & -10 & 18 \\-18 & 20 & 12 & -6 & 0 \\8 & 10 & -8 & 6 & 14 \\4 & -20 & -12 & -2 & -16\end{bmatrix}[/tex]

[tex]4[G] + 2[F] = \begin{bmatrix}34 & -4 & 28 & -18 & 58 \\-42 & -8 & 16 & 30 & 8 \\24 & 34 & 4 & 34\end{bmatrix}[/tex]

To know more about matrix here

https://brainly.com/question/28180105

#SPJ1


Related Questions

what is 6+9f+5+4+3–4f simplified

Answers

Answer:

18+5f

Step-by-step explanation:

6+9f+5+4+3-4f

=11+5f+7

=18+5f

Answer:

18 + 5f

Step-by-step explanation:

To simplify the expression 6 + 9f + 5 + 4 + 3 - 4f, we must combine like-terms.

6 + 5 + 4 + 3 = 18 (6,5,4, and 3 are like-terms because they are all normal integers)

18 + 9f - 4f (9f and 4f are like-terms because they have the same variable f)

18 + 5f

Write the domain using interval notation.

Answers

Answer:

[tex](f \circ g)(\text{x}) = \frac{13}{13-\text{x}}[/tex]

Domain: [tex](-\infty,0) \cup (0,13) \cup (13,\infty)[/tex]

=================================================

Explanation:

Let's find the function composition.

The notation [tex](f \circ g)(\text{x})[/tex] is the same as [tex]f(g(\text{x}))[/tex]

[tex]f(\text{x}) = \frac{\text{x}}{\text{x}-1}\\\\\\f(g(\text{x})) = \frac{g(\text{x})}{g(\text{x})-1}\\\\\\f(g(\text{x})) = g(\text{x}) \div \Big( g(\text{x}) - 1\Big)\\\\\\[/tex]

Then,

[tex]f(g(\text{x})) = \frac{13}{\text{x}} \div \left(\frac{13}{\text{x}}-1}\right)\\\\\\f(g(\text{x})) = \frac{13}{\text{x}} \div \left(\frac{13}{\text{x}}-\frac{\text{x}}{\text{x}}\right)\\\\\\f(g(\text{x})) = \frac{13}{\text{x}} \div \frac{13-\text{x}}{\text{x}}\\\\\\f(g(\text{x})) = \frac{13}{\text{x}} * \frac{\text{x}}{13-\text{x}}\\\\\\f(g(\text{x})) = \frac{13}{13-\text{x}}\\\\\\[/tex]

-----------------

Now let's find the domain.

If we plugged x = 0 into g(x), then we get a division by zero error.

This means we must exclude this value from the domain.

For similar reasoning, we must exclude x = 13 because we get a division by zero error in [tex]f(g(\text{x})) = \frac{13}{13-\text{x}}[/tex]

We could have any other real number to be plugged in for x.

Here's what the domain looks like in interval notation.

[tex](-\infty,0) \cup (0,13) \cup (13,\infty)[/tex]

We effectively poke holes at 0 and 13 on the number line.

The numbers of polio cases in the world are shown in the table for various years.
Year Number of polio cases (thousands)
1988 350
1992 138
1996 33
2000 4
2005 3.2
2007 1.3
PREDICT THE NUMBER OF POLIO CASES IN 2014
hint: The function F gives the number of thousands of polio cases

Answers

The value of t is given as 2.3 years.

How to solve

we get the table for function as

t          f(t)

8    350

12   138

16   36

20    4

25   3.2

27    1.3

So it is better to model the data by using an exponential model

using a graphing calculator we get our model as

f(t)=a(b)^t

[tex]f(t)=\boldsymbol{3648.6915(0.7380)^t}[/tex]

we have an exponential decay, so we get a rate of decrease as

b=1-r

r=1-b=1-0.738=0.262=26.2\\%

So the number of polio cases is decreasing by 26.2% per year

The number of polio cases in 2014 is

t=2014-1980=34

f(34)=3648.6915(0.7380)^{34}=0.1991389

this is in thousands so we get the number of cases in 2014 approximately as

[tex]0.1191389*1000 \approx \boldsymbol{119} \textup{ cases}[/tex]

for 1 case of polio :

f(t)=0.001

3648.6915(0.738)^t=0.001

we get

[tex]t=\frac{\ln (\frac{0.001}{3648.6915})}{\ln(0.738)}\approx 50[/tex]

so we get year as

1980+50={2030},

to find half life

[tex]\frac{a}{2}=a(b)^t[/tex]

[tex]b^t=\frac{1}{2}[/tex]

[tex]0.738^t=\frac{1}{2}[/tex]

[tex]t=\frac{\ln (1/2)}{\ln (0.738)}\approx\boldsymbol{2.3} \textup{ years}[/tex]

Read more about function here:

https://brainly.com/question/10439235

#SPJ1

its 7th grade math PLEASE HELP EMERGENCY

Answers

An example of a function that models a linear relationship between two quantities, x and y is y = mx + b

How to explain the function

We need to use the equation of a straight line, which is commonly expressed in slope-intercept form as:

y = mx + b

In this function, x represents the independent variable, m is the slope of the line, and b is the y-intercept. To use this function, we simply plug in the values of x, m, and b that correspond to the specific relationship we are modeling.

Learn more about functions on

https://brainly.com/question/11624077

#SPJ1

4Construct a function to model a linear relationship between two quantities.

how to find the area of a circle with the diameter of 22 in with pi

Answers

The area of the circle with a diameter of 22 in in terms of pi is 121π in².

What is the area of the circle?

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The area of a circle is expressed mathematically as;

A = πr²

Where r is radius and π is constant pi.

Given that:

The diameter of the circle is 22 inches.

Radius is half of diameter

Hence:

Radius r = diameter/2 = 22/2 = 11 in

Plug the value into the above formula and solve for area.

A = πr²

A = π × ( 11 in )²

A = 121π in²

Therefore, the area is 121π in².

Learn more about circles here: brainly.com/question/11952845

#SPJ1

Please help !!!!!!!!!!

Answers

The total amount of interior angles featured on a polygon with 'n' sides can be determined through the equation (n-2)*180 degrees. This formula applies to all types of polygons, such as triangles.

How to explain the triangle

In order to calculate the sum of each individual angle in the polygon, we must consider the total degree measure formed within each triangle. Every triangle consists of three different sized interior angles that together form an count of 180 degrees.

For instance, when a polygon containing 'n' sides is divided into separate triangles by interconnecting certain vertices, the overall number of triangles produced can be worked out using the equation (n-1). A square, for example, can be broken down into two distinctive triangles, whereas a pentagon structures five triangles, and finally, a hexagon results in four.

Learn more about triangles on

https://brainly.com/question/17335144

#SPJ1

The population of a small town of 29,000 people is expected to grow exponentially at a rate of 1.9% per year. Estimate the population in 2 years' time.

Answers

I’m pretty sure it’s 56,474

Answer:

Step-by-step explanation:

Need help in this question, with explanation please.

Answers

Answer:

a) (1/2)(5)(CD) = 20 cm^2

5CD = 40, so CD = 8 cm

b) (1/2)(12)(8) = 48 cm^2

A cheetah was observed running at a speed of 24.9 m/s. Use the following facts to convert this speed to kilometers per hour (km/h). 1 km = 1000 m 1 min 60 sec 1 hour = 60 min ​

Answers

Answer: 89.64 kilometers per hour

Step-by-step explanation: Convert 24.9 meters per second into Kilometers per minute by multiplying by 1000 to get 0.0249 kilometers per minute, which gives you 1.494 kilometers per minute. Then, you must convert this to kilometers per hour by multiplying by 60 to get 89.64 kilometers per hour

A total of $5550 is plit into
Awo investments. Part of the money.
is invested at 4%, and the reminder
is invested at 5"%.. If the total annual
interest from the two investments is
$259, how much is invested at each rate?

Answers

a = amount invested at 4%

how much is 4% of "a"? (4/100) * "a", namely 0.04a.

b = amount invested at 5%

how much is 5% of "b"? (5/100) * "b", namely 0.05b.

we know the total amount invested is 5550, so whatever "a" and "b" might be, we know that a + b = 5550.

we also know that the yielded amount in interest is 259, so if we simply add their interest, that'd be 0.04a + 0.05b = 259.

[tex]a+b=5550\implies b=5550-a \\\\[-0.35em] ~\dotfill\\\\ 0.04a+0.05b=259\implies \stackrel{\textit{substituting from above}}{0.04a+0.05(5550-a)~~ = ~~259} \\\\\\ 0.04a+277.5-0.05a=259\implies 277.5-0.01a=259\implies -0.01a=-18.5 \\\\\\ a=\cfrac{-18.5}{-0.01}\implies \boxed{a=1850}\hspace{9em}\stackrel{ 5550~~ - ~~1850 }{\boxed{b=3700}}[/tex]

Collect a set of data (from the internet) about any school-appropriate topic. Examples: rainfall data, and testing scores. Or make up your own set of data. The data set must contain at least 20 values. Fill out the questions below regarding your data.
1. List your data below in numerical order.




2. Explain your data. What does each data point represent?




3. What is the mean of your data?




4. What is the minimum and maximum within your data?

Answers

Here is the data collected as a result of the experiment.
1) Numerical order is: 0.20, 0.20, 0.46, 0.46, 2.10, 2.10, 5.50, 11.80, 12.20, 12.20, 13.22, 14.65, 16.07, 17.49, 18.91, 20.33, 20.50, 20.50, 21.75, 23.18

2)  The data represents rainfall in millimeters over a 20-day period.

3) Mean = 11.69 mm.

4) The minimum rainfall is 0.20 mm ;

the maximum is 23.18 mm.

Explain your data. What does each data point represent?

1) The data is listed as follows.

0.20 12.20 2.10 0.46 20.50 5.50 11.80 13.22 14.65 16.07 17.49 18.91 20.33 21.75 23.18 0.20 12.20 2.10 0.46 20.50

2) The data represents the amount of rainfall in millimeters over a 20 day period.

3) The mean rainfall over the 20 day period is 11.69 mm.

= (0.20 + 0.20 + 0.46 + 0.46 + 2.10 + 2.10 + 5.50 + 11.80 + 12.20 + 12.20 + 13.22 + 14.65 + 16.07 + 17.49 + 18.91 + 20.33 + 20.50 + 20.50 + 21.75 + 23.18) /20

Mean (x)  = 11.69 mm.

3) The minimum rainfall is 0.20 mm and the maximum is 23.18 mm.

Learn more about data analysis:
https://brainly.com/question/31451452
#SPJ1

The combinations for the lockers at school consist of 3 numbers. Each number in the combination can be a number from 0-29. How many locker combinations are possible?

Answers

Answer:

87 I think.

Step-by-step explanation:

29 x 3 = 87

Please I need help soon as possible

Answers

Answer:

[tex]x^2 + 10x+25[/tex]

Step-by-step explanation:

(x + 5)^2 is the same as (x + 5)(x + 5), which is what you call a binomial expression, since two terms (x + 5) are being multiplied by each other.  You can multiply any binomial expression using the FOIL method, where you multiply the first (F), outer (O), inner (I), and last terms and simplify at the end:

First terms:  x * x

Outer terms:  x * 5

Inner terms:  5 * x

Last terms:  5 * 5

Simplifying:

[tex](x * x) + (x * 5) + (5 * x) + (5 * 5)\\x^2+5x+5x+25\\x^2+10x+25[/tex]

You are running a fundraiser for your school, selling Reese’s and Skittles candies. You recorded you sold 34 candies and made $41, but didn’t tally how many of each candy you sold (and you don't remember the original amount of candy you had).

Below is the advertisement you used to sell the candy:

Reese's sells for $1 and skittles for $1.50
Write a system of equations to represent this situation. Then, solve it algebraically using either the substitution or elimination method.

Answers

Reese sold 20 candy and Skittles sold 14 candy for a total of $41. The equation for this is x + y = 34 and x + 1.5y = 41

What is an equation?

An exponential equation is an expression that shows how numbers and variables using mathematical operators.

Let x represent the number of candy that Reese sell and y represent the number of Skittles candies

Reese's sells for $1 and skittles for $1.50

34 candies was sold, hence:

x + y = 34      (1)

He made $41, hence:

x + 1.5y = 41    (2)

Solving both equations simultaneously:

x = 20; y = 14

Reese had 20 candy and Skittles had 14 candy.

Find out more on equation at: https://brainly.com/question/22688504

#SPJ1

14. Peter makes $15 per hour as a gardener. He gets a 10% raise. Which of the following
statements are true about Peter's new rate of pay? Select the three correct answers,
A Peter will make an additional 1/100 of his salary per hour.
(B) Peter will make an additional $1.50
per hour.
C Peter's new hourly rate is $16 per hour.
D After working 5 hours at the new rate, Peter will make $82.50.
E If Peter gets an additional 10% raise, his new pay rate will be $18.15.

Answers

Okay so peter makes 30 every week, so peter would make a total of 40 with all of the money you add on. Hope this helps!
B: additional $1.5, D: 5 hours makes $82.5, and E: another raise would be 18.15

How many kilograms are
1 kg =
100 dag
45.4 kg
119.5 kg
54.5 kg
264.3 kg
there 5,450 dekagrams?

Answers

The number of kilogram that are  there in there 5,450 dekagrams is: C. 54.5 kg.

What is  kilograms?

The kilogram is widely used as a unit of mass in everyday life, as well as in science, engineering, and industry. One kilogram is equal to 1,000 grams, and it is the base unit for other mass-related units such as milligrams, centigrams, and decigrams.

To convert 5,450 dag to kg, we need to divide by 100, since 1 kg = 100 dag:

5,450 dag ÷ 100 = 54.5 kg

Therefore, the answer is (c) 54.5 kg.

Learn more about kilogram here:https://brainly.com/question/9301317

#SPJ1

The correct question is:

How many kilograms are there in there 5,450 dekagrams?

1 kg = 100 dag

a. 45.4 kg

b. 119.5 kg

c. 54.5 kg

d. 264.3 kg

When the sun is at a certain angle in the sky, a 100 foot building will cast a 25 foot shadow , how tall is a person if he casts a 1.5 foot shadow at the same time

Answers

The height of the person that cast a shadow of 1.5 foot is 6 foot.

How to solve proportional relationship?

When the sun is at a certain angle in the sky, a 100 foot building will cast a 25 foot shadow. A person cast a shadow of 1.5 foot at the same time.

Therefore, the height of the person can be found by setting up a proportional relationship between the length of shadow and the actual height of the building and person.

Hence,

let

x = height of the person

Therefore,

100 / 25 = x / 1.5

cross multiply

25x = 100 × 1.5

25x = 150

divide both sides of the equation by 25

x = 150 / 25

x = 6

Therefore,

height of the person  = 6 foot.

learn more on proportion here: https://brainly.com/question/16991358

#SPJ1

a) What information is provided by each of the graphs below? b) Explain below which of the two graphs is the best representation of the data. Support your thinking by using numbers from each graph.

Answers

The information provided by each of the graphs is Sales from July to December and graph A best represents the data

What information is provided by each of the graphs?

From the question, we have the following parameters that can be used in our computation:

The graphs

On the graphs, we have the information to be

Sales from July to December

Which of the two graphs is the best representation of the data.

The graph that is the best representation of the data is the A

This is because the scale and origin of the graph are defined

Read more about graphs at

https://brainly.com/question/28350999

#SPJ1

What is the volume of a solid with lines y=√(cos(x), y=e^x, x=pi/2 if it is revolved around the x axis?

For the same question, if there were x axis semicircles with a diameter on xy plane, what would the volume be?

Answers

To find the volume of the solid generated by revolving the region enclosed by the curves y = √(cos(x)), y = e^x and x = pi/2 around the x-axis, we can use the method of cylindrical shells.

Consider a thin vertical strip of width dx at a distance x from the y-axis. The height of this strip is the difference between the y-coordinates of the two curves:

h = e^x - √(cos(x))

The circumference of the shell is given by 2πx since the strip is at a distance x from the y-axis. Therefore, the volume of the shell is given by:

dV = 2πx * h * dx

= 2πx * (e^x - √(cos(x))) * dx

To find the total volume of the solid, we need to integrate this expression from x=0 to x=pi/2:

V = ∫[0, pi/2] 2πx * (e^x - √(cos(x))) dx

This integral can be evaluated using integration by substitution. Let u = cos(x), then du/dx = -sin(x) and dx = du/-sin(x). Using this substitution, the integral becomes:

V = ∫[1, 0] 2π * (-ln(u)/sin(x)) * (e^x - √(u)) dx

Integrating this expression with respect to x from x=0 to x=pi/2, we get:

V = 2π * [e^(pi/2) - 1 - (4/3) * (1 - sqrt(2))]

Therefore, the volume of the solid is approximately 27.838 cubic units (rounded to three decimal places).

how do you find the base of a rectangle if you only know the height

Answers

Step-by-step explanation:

You will have to know more....like the area or the perimeter or the diagonal measure to determine the base if you only have the height.

​-8/9 / -2/3 x -4 1/2

Answers

Answer:

- 14/3

Step-by-step explanation:

-8/9 * 3/-2 * -7/2

-24/-18 * -7/2

4/3*-7/2

-28/6

= - 14/3

Justine is enrolled in an SAT prep class at the Oakdale Community Center. The community
center is 1.4 miles away from Justine's house. On a map of Oakdale, this distance is
represented by 1 inch. What is the scale of the map?
Write your answer in simplest form using whole numbers.
inches:
miles

Answers

Answer:

1.4:1

= 14:10

= 7:5

Hence, ans is 7:5

Hope it helps, please mark me as brainliest...

Which of the points plotted is farther away from (−7, 8), and what is the distance?

Answers

Answer:

(10, -10)

Step-by-step explanation:

This are the farest the graph can go unless you want (100,-100)

Change the values from negative to positive and positive to negative to get the most farest results

Answer: D

Step-by-step explanation:

I graphed so you can see.  Count how far each are away.

(5,8) is 12 away

(-7,-5) is 13 away

So you answer is D

Or

You can also think of it as, for, (5, 8)  only the x changed so you only moved in the x direction.  subtract the numbers 5-(-7)=12

For (-7,-5) you only moved in the y direction, so subtract those 8-(-5)=13

5. Kamal said that he can measure
area using squares that are 2 units
long and 1 unit wide. What mistake
did Kamal make?

Answers

Answer:

A square's length & width are equal

Step-by-step explanation:

Kamal's shape is not a square, because a square is equilateral (equal length in all sides), but his square is 2:1,

Find the slope of the line with a y-intercept = 4, passing through the point (2,8)

Answers

Answer: d. m = 2

Step-by-step explanation:

First, we will write a slope-intercept equation using the y-intercept given.

       y = mx + 4

Next, we will substitute the given point and solve for m, the slope.

       y = mx + 4

       (8) = m(2) + 4

       4 = 2m

       m = 2

Learn more about slope-intercept form equations here:

https://brainly.com/question/27985430

Answer:

[tex]\boxed{\sf m=2}.[/tex]

Step-by-step explanation:

1. Identify the 2 given points.

In order to find the slope of any linear equation you need at least 2 points the line passes through. We're explicitly provided one, (2, 8), we just need to figure out the other one.

When the statement says that the line has a y-intercept of 4, it means that at a point with y=4 the function touches the y axis. The only way to touch the y-axis is if the x value is 0. Hence, another given point is (0, 4).

2. Calculate the slope.

Formula: [tex]\sf m=\dfrac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]

Naming the variables (can be done arbitrarily but always make sure the y's are actual y values from the ordered pairs and that x₁ goes with its corresponding y₁ value from the ordered pair):

[tex]x_{1} =2;\\x_{2} =0;\\y_{1} =8;\\y_{2} =4.[/tex]

Now substituting these values in the formula:

[tex]\sf m=\dfrac{(4)-(8) }{(0) -(2) }=\dfrac{-4}{-2} =\boxed{\sf 2}.[/tex]

Check out the attached image to see the graphed line.

What is 15% of 100

Please help

Answers

Answer:

Step-by-step explanation:15

15.

Best way to think about it 1% of 100 is 1. So 2% is 2 and so on so forth.

Ellie and her older brother, Shawn, just got new phones! Both phones are shaped like rectangular prisms that are 3/4 of a centimeter tall. Ellie went with the smaller model that is 12 centimeters long and 6 centimeters wide, while Shawn went with the larger model that is 15 centimeters long and 8 centimeters wide. How many cubic centimeters larger is Shawn's phone than Ellie's?

Answers

Shawn's phone is 36 cubic cm larger than Ellie's phone.

How many cubic cm larger is Shawn's phone?

To get difference in volume between the two phones, we must calculate  volume of each phone and subtract the volume of Ellie's phone from the volume of Shawn's phone.

The volume of a rectangular prism is: length*width* height. The height of both phones is 3/4 centimeters.

The volume of Ellie's phone is:

= length x width x height

= 12 cm x 6 cm x (3/4) cm

= 54 cubic centimeters

The volume of Shawn's phone is:

= length x width x height

= 15 cm x 8 cm x (3/4) cm

= 90 cubic centimeters

The difference in volume is:

= Volume of Shawn's phone - Volume of Ellie's phone

= 90 cubic centimeters - 54 cubic centimeters

= 36 cubic centimeters

Read more about volume

brainly.com/question/27710307

#SPJ1

50 Points! Multiple choice algebra question. Photo attached. Thank you!

Answers

The half-life of the particular compound is approximately 9.4 days. (Correct choice: B)

How to find the half-life of a compound

The statement indicates the decay function of a particular compound, which is an exponential function of the form:

y = a · exp(- λ · t)

Where:

a - Initial mass of the compound.λ - Decay constant, in days⁻¹.t - Time, in days.

The half-life of the particular compound is determined by the following expression:

t = ㏑ 2 / λ

Where t is the half-life.

If we know that λ = 0.0736, then the half-life of the particular compound is:

t = ㏑ 2 / 0.0736

t = 9.4 days

To learn more on half-life: https://brainly.com/question/24710827

#SPJ1

14). Find the measures of both angles.
xo
(3x +20)°

Answers

Answer:

40 degrees and 140 degrees

Step-by-step explanation:

To solve this problem you can add x+3x+20 and set that equal to 180. (We can do this because angle x and angle 3x + 20 make a linear pair. Knowing this we can estimate that both angles added together will equal 180)

Let us add x + 3x + 20 = 180 to find x. We can then substitute that into the equation.

[tex]x+3x+20=180 :a\\\\4x+20=180 :b\\\\4x + 20 -20=180-20:c\\\\4x=160:d\\\\\frac{4x}{4} = \frac{160}{4}:e\\\\x=40:f[/tex]

a: So in this part, we have rewritten the equation to make it easier to solve

b:  In this step, you combine the like terms x+3x to get 4x

c: In step c, you are subtracting 20 from both sides to keep constants on one side and variables on the right

d: In this last step the equation has been simplified to make it easier to solve.

e: To isolate x you have to divide both sides by 4, we do this because the coefficient of x is 4 so you divide the equation by 4 to cancel it out.

f: You rewrite and simplify the equation.

Now to find the measure of both angles you substitute x into the equation.

The first angle's value is 40 degrees and the second is 140 degrees.

These are our answers.

3. Rochelle helped in the garden 7 days during the last 4 weeks. Use the
numbers in the box to complete the sentences comparing her time in
the garden.
Numbers can be used more than once. Write each number in the
appropriate box.
For every day(s) Rochelle helped, she did not help
For every
day(s).
1 3 4 7 28
day(s).
day(s) Rochelle did not help, she helped

Answers

For every 3 days Rochelle helped, she did not help for 1 day.

For every 4 days Rochelle helped, she did not help for 1 day.

For every 7 days Rochelle helped, she did not help for 6 days.

For every 28 days Rochelle helped, she did not help for 21 days.

Let's use the terms provided to complete the sentences comparing Rochelle's time in the garden.
Since Rochelle helped in the garden for 7 days during the last 4 weeks, we can calculate the total number of days in 4 weeks and then find the number of days she did not help.
There are 7 days in a week, so in 4 weeks, there are 4 x 7 = 28 days.
Rochelle helped for 7 days, so she did not help for 28 - 7 = 21 days.
Now, let's complete the sentences:
For every 1 day(s) Rochelle helped, she did not help for 3 day(s).
For every 3 day(s) Rochelle did not help, she helped 1 day(s).

For similar question on days.

https://brainly.com/question/29164268

#SPJ11

Other Questions
Whats the answer? I need help please What was the most influential invention since printing? Which system has to do with skin, hair, and nails?. if the silver sheet costs $9.75 per cm^2, the copper sheet costs $3.25 per cm^2, and the stone costs $1.75 per cm^2, what is the materials cost for the brooch 7.003x10^-5 in standard form help me What is the rule of this function? 5+ 5 5 5 5Question 1 of 7 I need to find the missing angle and arc measures. please answerStep by step What is the in a 12. 2 L vessel that contains 1. 13 mol of Co2 at a temperature of 42 degrees C? Calculate the inherent value of one share of pepsi. assuming that dividends grow at a constant rate of 6.00%, next year's dividend will be $2.75, and you target a rate of return of 10% Cardinal Company is considering a five-year project that would require a $2,500,000 investment in equipment with a useful life of five years and no salvage value. The companys discount rate is 12%. The project would provide net operating income in each of five years as follows:Sales $ 2,853,000Variable expenses 1,200,000Contribution margin 1,653,000Fixed expenses: Advertising, salaries, and other fixed out-of-pocket costs $ 790,000 Depreciation 500,000 Total fixed expenses 1,290,000Net operating income $ 363,000 Differential Analysis for Sales Promotion Proposal Kankakee Cosmetics Company is planning a one-month campaign for December to promote sales of one of its two cosmetics products. A total of $150,000 has been budgeted for advertising, contests, redeemable coupons, and other promotional activities. The following data have been assembled for their possible usefulness in deciding which of the products to select for the campaign: Moisturizer PerfumeUnit selling price $35 $55 Unit production costs: Direct materials $(12) $(20) Direct labor (8) (10) Variable factory overhead (3) (6) Fixed factory overhead (2) (6) Total unit production costs $(25) $(42) Unit variable selling expenses (2) (3) Unit fixed selling expenses (2) (8) Total unit costs $(29) $(53) Operating income per unit $6 $2No increase in facilities would be necessary to produce and sell the increased output. It is anticipated that 40,000 additional units of moisturizer or 30,000 additional units of perfume could be sold from the campaign without changing the unit selling price of either product. Required:Prepare a differential analysis as of November 2 to determine whether to promote moisturizer (Alternative 1) or perfume (Alternative 2). If an amount is zero, enter "0" The setting, theme, genre, characters, and summary of the hawk can soar by randi davenport What social or cultural issues exist around scientific development? The game was O interrupting interrupt interrupts O interrupted by a heavy shower. This project provides an exact exposure to the lesson on cystic fibrosis. An alternative project your teacher may prefer is to research a genetic ethics case and complete the same set of questions. However, the sites are educational projects funded by the NIH specifically for educational purposes.First, read the page at DNA files (http://www.dnafiles.org/programs/prenatal-genetic-testing). DNA files is an educational project funded by the National Science Foundation and the National Institutes of Health. Be sure to see that there are two different dates. The original information came out in 1998, and was later updated in 2007.Next, listen to the radio program on the same page. It can be streamed or downloaded. It is about an hour long. Be sure to take notes as you listen, which you'll turn in as rough notes.After you listen to the radio program, answer the following questions in writing.What kinds of thoughts made the women deciding on prenatal tests nervous?Describe what exactly is a wrongful life or wrongful birth suit?After the segment on wrongful life suits concluded, what was YOUR opinion on this kind of case?Describe how the ability to test for genetic abnormalities via an amnio ended up coming at a crossroads with the legalization of the abortion procedure in the United States. That is, how did these two separate events first become intertwined?Describe the alpha-fetoprotein (AFP) test and its use. Be sure to mention how often it screens as positive. Are all positive screenings truly spina bifida?Summarize the story of Judy, who had an amnio that came back as showing a possible problem.Describe what Tay Sachs syndrome is and what groups most often carry the disease.Describe how the Orthodox Jewish community avoids the ethical dilemmas of prenatal testing, but still manages to screen for Tay Sachs.Summarize some of the things that the family of Brendan, who has cystic fibrosis, must do to cope with his disease.Which two ethnic groups are mentioned as not having a strong possibility of carrying CF?Why does the radio program mention that CF can be a very mild disease without too many symptoms or problems? Can prenatal testing tell a couple how bad the baby's problems may be?In the portion of the program regarding testing for Down Syndrome, what is the importance of the geography and culture of the doctor's patients? What does it have to do with prenatal testing?Describe what eugenics is. What is its philosophical connection and similarity with German Nazi views? How does it relate to genetic testing?What is achondroplasia?According to the program, by what percent has prenatal testing reduced the prevalence of genetic abnormalities?One doctor, Lee Silver, describes a possible future where genes are introduced purposefully into a baby's make up in order to give the person future protection against a disease. What is the potential ethical conflict of this practice? where should the linear inequality y 1/4 x- 3 be shaded? Using the formula m1v1=m2v2 , you have a 0.5 m mgso4 stock solution available.calculate the volume of the stock solution needed to make 2.0 l of 0.20m mgso4.0.5 l04.0l0.9 lkid 0.8 l use the standard normal distribution table to determine the percent of data less than z= 1.67The percent of the data less than Z = 1.67 is ? Which three (3) patterns are true in regards to seasons on Earth? How does irish immigration to america connect to the novel the orphan train