Express the ratio 16:9 as a ratio to 1.

Answer:A.6

Step-by-step explanation:first you subtract -4 with +4 and same ro the other side 16-4 =12. Then tha t leaves you with 2x=12 , so then you do 12÷2=6 . so x=6

Answer:

Step-by-step explanation:

m-(n+(p-(m+n-p)))

Final Result :

     2 • (m - p)

Answer:

The answer is false already got this question wrong though D;

Step-by-step explanation:

The ratio of the volumes of two similar solid polyhedra is equal to the cube of the ratio between their edges is false.

The ratio of the corresponding edges or sides or lengths of given similar solids is called the linear scale factor.

The linear scale factor can be used to determine the area scale factor which is the ratio of the area of the similar solids.

The area scale factor is given as the square of the linear scale factor.

that is Area Scale Factor = (Linear Scale Factor)²

The linear scale factor can also be used to find the ratio of the volumes of similar solids, or what is called the volume scale factor such that the volume scale factor is given by the cube of the area scale factor.

Therefore the given statement is false

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Answer:

0.573 m

Step-by-step explanation:

a. To find the depth, x, we first solve the differential equation to find the expression for I  

dI/dx = (-1.21)I

dI = (-1.21)Idx

dI/I = -1.21dx

Integrating both sides, we have

∫dI/I = ∫-1.21dx

㏑I = -1.21x + C

I = exp(-1.21x + C)

I = exp(-1.21x)exp(C) Let exp(C) = A

I =Aexp(-1.21x)

when x = 0, I = L. Substituting these into the equation, we have

L = Aexp(-1.21 × 0)

L = Aexp(0)

L = A

So, I = Lexp(-1.21x)

we want to find x when I = L/2.

So, L/2 = Lexp(-1.21x)

1/2 = exp(-1.21x)

-1.21x= ㏑(1/2)

-1.21x= -㏑2

x = -㏑2/-1.21

x =  0.693/1.21

x = 0.573 m

Answer:

170m

Step-by-step explanation:

The answer to the above question is letter d which is 170 m. To get the 170 m, kindly check the below solution: 

x^2 + 13x = 1764 so x = -49 and 36, we take 36 as its the positive value. And the other side is 49. Now use 2(l+b) to find perimeter. You get (36+49)*2 = 170

Answer:

Step-by-step explanation:

Part a

Exponential growth model for the frog population is given by

[tex]P=P_{0}b^{t}\texttt{ \ where} \ P_{0}=Population \ at \ t=0 \ and \ b=Base[/tex]

The population of frog at t=0 (2 years ago) is given as 46000 which implies

[tex]P_{0}=46000[/tex]

The population in the current year is given as 55200 which implies

 At,

t=2 years, P=55200

Therefore, substitute the above values to calculate the value of b

[tex]55200=46000b^{2} => b^2=\frac{55200}{46000}=1.2[/tex]

[tex]b=\sqrt{1.2}=1.095445[/tex]

Therefore, the model equation becomes

[tex]P=46000(1.095445)^{t}[/tex]

Part b

Since all the tags for this year have fallen off which implies no of tags for the next year can be calculated by calculating the population at t=3

[tex]P=46000(1.095445)^{3}\\\\=46000\times 1.3145\\\\=60467[/tex]

Answer:

A

Step-by-step explanation:

140 x 0.8 = 112

Answer:

140 students voted (Answer A)

Step-by-step explanation:

Let v represent the total number of students who voted.

Then 0.80v = 112 votes.

Dividing both sides by 0.80, we get:

v = 140. 140 students voted.

As a check, find 80% of 140 students:  that comes out to 112 students (correct)

Answer:

D. One end increases and one end decreases

One end increases and one end decreases in the given function  f(x) = - In (2x) + 4. Therefore, the correct option is option D.

What is mathematical function?

In mathematics, a function is a phrase, regulation, or statute that establishes the connection between an independent variable and a dependent variable.

In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837. One end increases and one end decreases in the given function  f(x) = - In (2x) + 4.

Therefore, the correct option is option D.

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Answer:

s={apple, orange, banana, pear, peach, plum, mango} (option A)

Step-by-step explanation:

The sample space of an experiment is the set of all possible outcomes of that experiment.

The sample space is essential in finding the probability of an event associated with a random experiment.

In this question, the set of all possible outcomes of the experiment are apples, oranges, bananas, pears, peaches, plums and mangos.

Therefore the sample space for the process is: s={apple, orange, banana, pear, peach, plum, mango} (option A)

Where s = sample space

Though peach was omitted in the set in option A by mistake, the correct answer:

s={apple, orange, banana, pear, peach, plum, mango}

Answer:

d y = -5x+3

Step-by-step explanation:

slope intercept is y=mx+b m is for the slope and b is the y intercept so the -5x would go first and then the 3

Answer:

I cant see it properly

Step-by-step explanation:

Answer:

C) 60

Step-by-step explanation:

m ABC is 60 degrees

Answer:

The answer is mABC = 60°

Answer:

13 l of 15%, 13 l of 25%, 26 l of 70%

Step-by-step explanation:

solutions:

final solution:

This includes 0.45*52l= 23.4 l acid

Let's assume:

so there are 2 equation:

or

--------

Answer:

1/2, 5/2

Step-by-step explanation:

To find the midpoint add up the x coordinates and divide by 2 and the y coordinates and divide by 2

(-3+4)/2, (-2 +7)/2

1/2, 5/2

Answer:

[tex](\frac{1}{2}, \frac{5}{2} )[/tex]

Step-by-step explanation:

Use the midpoint formula:

[tex](\frac{-3+4}{2} , \frac{-2+7}{2} )[/tex]

The points are:

[tex](\frac{1}{2}, \frac{5}{2} )[/tex]

Answer:

2,4,2,4.

Step-by-step explanation:

Answer:

2,4,2,4.

Step-by-step explanation:

Answer:

p = 1 and r = - 2

Step-by-step explanation:

Given the 2 equations

6p - 4r = 14 → (1)

p - 2r = 5 → (2)

Multiplying (2) by - 6 and adding to (1) will eliminate the term in p

- 6p + 12r = - 30 → (3)

Add (1) and (3) term by term to eliminate p

8r = - 16 ( divide both sides by 8 )

r = - 2

Substitute r = - 2 into either of the 2 equations and solve for p

Substituting into (2)

p - 2(- 2) = 5

p + 4 = 5 ( subtract 4 from both sides )

p = 1

Answer:

1.2h / 72min

Step-by-step explanation:

Maria waxes her car in 2 hours. When she works with Susan, they can wax the car

in 45 mins. How long will it take Susan, working by herself, to wax the car?

:

Let x = time required by Susan by herself

:

Change 45 min to hrs: 45/60 = .75 hrs

:

Let the completed job = 1

:

Each will do a fraction of the job and will add up to 1

:

.75%2F2 + .75%2Fx = 1

Multiply equation by 2x to eliminate the denominators, solve for x

.75x + 2(.75) = 2x

:

.75x + 1.5 = 2x

:

1.5 = 2x - .75x

:

1.5 = 1.25x

x = 1.5%2F1.25

x = 1.2 hrs (72min), for Susan to do the job by herself

Answer:

3/14

Step-by-step explanation:

Answer:

Step-by-step explanation:

a)

Class limits       Frequency

38 - 63                  9

64 - 89                  7

90 - 115                 1

116 - 141                 1

142 - 167              2

Construct a histogram of these data(image attached)

b)

Frequency distribution table (also known as frequency table) consists of various components.

Classes: A large number of observations varying in a wide range are usually classified in several groups according to the size of their values. Each of these groups is defined by an interval called class interval. The class interval between 10 and 20 is defined as 10-20.

Class limits: The smallest and largest possible values in each class of a frequency distribution table are known as class limits. For the class 10-20, the class limits are 10 and 20. 10 is called the lower class limit and 20 is called the upper class limit.

Class limit: Class limit is the midmost value of the class interval. It is also known as the mid value.

Mid value of each class = (lower limit + Upper limit)2.  

If the class is 38 to 63 , lower limit is 38 and upper limit is 63. So the mid value is

[tex]\frac{(38+63)}{2} =50.5[/tex]

Class width is calculated using upper and lower value

Class width = (upper - lower) value /class

[tex]=\frac{ ( 163 - 38)}{5} \\\\=25[/tex]

Magnitude of a class interval: The difference between the upper and lower limit of a class is called the magnitude of a class interval.

Class frequency: The number of observation falling within a class interval is called class frequency of that class interval.

Answer:

[tex]1+ 0i[/tex]

Step-by-step explanation:

A complex number is a number which has some real part and some imaginary part.

Standard form of a complex number is represented as

[tex]a +bi[/tex]

Where [tex]a[/tex] is the real part,

and [tex]bi[/tex] is the imaginary part.

And [tex]i = \sqrt{-1}[/tex]

Given complex number:

[tex]-4i+\dfrac{1}{4}-5i)-(-\dfrac{3}{4}+8i)+17i\\\Rightarrow -4i+\dfrac{1}{4}-5i + \dfrac{3}{4}-8i+17i\\\Rightarrow \dfrac{3}{4}+\dfrac{1}{4}-4i -5i-8i+17i\\\Rightarrow \dfrac{3+1}{4}-17i+17i\\\Rightarrow \dfrac{4}{4}+0i\\\Rightarrow 1 + 0i[/tex]

Hence, the standard form is [tex]1+ 0i[/tex].

Answer:

16.0

Step-by-step explanation:

Answer:

b 16.0

Step-by-step explanation:

Answer:

d 25

So 10 cans of orange Concentrate will be = 25 cans of water

Step-by-step explanation:

Andrea combines the orange concentrate and the water using a 2:5 ratio.

We are to find how many cans of water she needs to combine with 10 cans of concentrate

So using the ratio.

2 cans of orange Concentrate is to 5 cans of water.

So 10 cans of orange Concentrate will be =( 10*5)/2

So 10 cans of orange Concentrate will be = 50/2

So 10 cans of orange Concentrate will be = 25 cans of water

Answer:

Always true or 0 = 0

Step-by-step explanation:

This equation simplifies to 0 = 0 I will show in several steps.

1. (-15x - 10) - (x - 3) = (-16x - 20) + 13

2. -16x - 7 = -16x - 20 + 13

3. 0 = 7 - 20 + 13

4. 0 = 0

Hope this helps! (Please consider giving brainliest)

Answer:

all real value for x

Step-by-step explanation:

5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13

Distribute

-15x -10 -x+3 = -16x -20 +13

Combine like terms

-16x-7 = -16x -7

Add 16x to each side

-16x-7 +16x= -16x -7+16x

-7 = -7

This is always true so x is all real values

Answer:

24 sq. u.

Step-by-step explanation:

1)For this triangle area, let's use the classic Euclidean formula:

[tex]\Delta \: area=\frac{b*h}{2}[/tex]

2) Let's measure the lenght of the base, taking the y coordinate of J vertex and L Vertex

[tex]|10-(-2)|=|12|=12[/tex]

3) Similarly to the height, taking the K and its distance to the base

|0-(-4)|=|4|=4

4) Plugging them in:

[tex]\Delta \: area=\frac{12*4}{2}=24[/tex]

Answer:

24 Square Units

Step-by-step explanation:

Answer:

a) In the step-by-step explanation.

b)  The null and alternative hypothesis are:

[tex]H_0: \mu=125000\\\\H_a:\mu> 125000[/tex]

c) P-value = 0.015

d) The conclusion, at a level of significance of 0.05, is that there is enough evidence to support the claim that that area residential property is available at a mean cost significantly higher than $125,000 per lot.

e) The claim of the chamber of commerce is false. We have statistical evidence against that claim and we can conclude that the mean prices are significantly higher than $125,000.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim, expressed in the alternative hypothesis, is that area residential property is available at a mean cost significantly higher than $125,000 per lot.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=125000\\\\H_a:\mu> 125000[/tex]

The significance level is 0.05.

The sample has a size n=32.

The sample mean is M=130000.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=12500.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{12500}{\sqrt{32}}=2209.71[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{130000-125000}{2209.71}=\dfrac{5000}{2209.71}=2.26[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=32-1=31[/tex]

This test is a right-tailed test, with 31 degrees of freedom and t=2.26, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=P(t>2.26)=0.015[/tex]

As the P-value (0.015) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that that area residential property is available at a mean cost significantly higher than $125,000 per lot.

Answer:

(1,3) (B)

Step-by-step explanation:

A function cannot have 2 y values per x value.  The x value of 1 has 2 y values on it which are -2 and 3.  Therefore, you must remove one of them.  The only one that applies is (1,3)

I completed the vertical line test which shows that A, C, nor D had another point on their lines. So B is the answer.

9514 1404 393

Answer:

  55.39 square units

Step-by-step explanation:

The formula for the area of a circle is ...

  A = πr²

Put the given numbers in place of the corresponding variables and do the arithmetic.

  A = 3.14 × 4.2² = 3.14 × 17.64 = 55.3896

Rounded to hundredths, the area is ...

  55.39 square units

Answer:0.06

Step-by-step explanation:

Answer:

the only one that does is C

Step-by-step explanation:

doesn't= A, B, D, E