Learning Task 3:
Solve.
1. What is the area of the rectangle whose length is (x + 5) and width (x - 5)?
2. What is the area of the square whose sides measure (3x + 4)?
3. The area of the rectangle is 3x2 + 7x - 6, what is the length if the width is
(x + 3)
4. What is the average speed of the car that covers a distance of
(2y3-7y2 + 5y - 1) km in (2y-1) hour?
5. Multiply (m2 + 2m-2) by the sum of (m + 3 ) and (2m - 3)​

Answers

Answer 1

Answer:

[tex]Area = x^2- 25[/tex]

[tex]Area =9x^2 +24x + 16[/tex]

[tex]Length = (3x -2)[/tex]

[tex]Speed = \left(y^2-3y+1\right)[/tex]

[tex]Product = 3m^3 + 6m^2 - 6m[/tex]

Step-by-step explanation:

Solving (1):

[tex]Length = (x + 5)[/tex]

[tex]Width = (x - 5)[/tex]

Required

Calculate Area

[tex]Area = Length * Width[/tex]

[tex]Area = (x + 5) * (x - 5)[/tex]

[tex]Area = x^2 + 5x - 5x - 25[/tex]

[tex]Area = x^2- 25[/tex]

Solving (2):

Given

[tex]Length = (3x + 4)[/tex]

Required: Calculate Area

[tex]Area =Length * Length[/tex]

[tex]Area =(3x + 4) * (3x + 4)[/tex]

[tex]Area =9x^2 + 12x + 12x + 16[/tex]

[tex]Area =9x^2 +24x + 16[/tex]

Solving (3):

[tex]Area = 3x^2 + 7x - 6[/tex]

[tex]Width = x + 3[/tex]

Required: Calculate Length

[tex]Area = Length * Width[/tex]

[tex]Length = \frac{Area}{Width}[/tex]

[tex]Length = \frac{3x^2 + 7x - 6}{x + 3}[/tex]

Factorize the numerator

[tex]Length = \frac{3x^2 + 9x -2x - 6}{x + 3}[/tex]

[tex]Length = \frac{3x(x + 3) -2(x + 3)}{x + 3}[/tex]

[tex]Length = \frac{(3x -2) (x + 3)}{x + 3}[/tex]

Divide by x + 3

[tex]Length = (3x -2)[/tex]

Solving (4):

[tex]Distance = (2y^3 - 7y^2 + 5y -1)[/tex]

[tex]Time = 2y - 1[/tex]

Required: Determine the average speed

This is calculated as:

[tex]Speed = \frac{Distance}{Time}[/tex]

[tex]Speed = \frac{2y^3 - 7y^2 + 5y -1}{2y - 1}[/tex]

Factorize the numerator

[tex]Speed = \frac{\left(2y-1\right)\left(y^2-3y+1\right)}{2y - 1}[/tex]

[tex]Speed = \left(y^2-3y+1\right)[/tex]

Solving (5):

Multiply [tex](m^2 + 2m - 2)[/tex] by sum of [tex](m + 3)[/tex] and [tex](2m - 3)[/tex]

First, calculate the sum:

[tex]Sum = m + 3 + 2m - 3[/tex]

[tex]Sum = m + 2m+3 - 3[/tex]

[tex]Sum = 3m[/tex]

Then, the product

[tex]Product = (m^2 + 2m - 2)(3m)[/tex]

[tex]Product = 3m^3 + 6m^2 - 6m[/tex]

Answer 2

Answer:

Step-by-step explanation:

Solving (1):

Required

Calculate Area

Solving (2):

Given

Required: Calculate Area

Solving (3):

Required: Calculate Length

Factorize the numerator

Divide by x + 3

Solving (4):

Required: Determine the average speed

This is calculated as:

Factorize the numerator

Solving (5):

Multiply  by sum of  and  

First, calculate the sum:

Then, the product


Related Questions

Answer these its due today

Answers

Answer:

you didn't attached it

Step-by-step explanation:

send it again

Answer:no questions here thanks for the points have a nice day

Step-by-step explanation:ACHIEVEMENTS

What are the two possible answers for the equation Ix/5I = 3?

Answers

Answer:

Either [tex]x = -15[/tex] or [tex]x = 15[/tex].

Step-by-step explanation:

[tex]|x| = \left\lbrace \begin{aligned} & x && \text{if $x \ge 0$} \\ & -x && \text{if $x < 0$}\end{aligned}\right.[/tex].

Hence, there are two possibilities to consider:

Either [tex](x / 5) \ge 0[/tex],Or [tex](x / 5) < 0[/tex].

If [tex](x / 5) \ge 0[/tex], then [tex]|x / 5| = x / 5[/tex].

Substitute into the original equation: [tex]x/ 5= 3[/tex]. Solve for [tex]x[/tex]: [tex]x = 15[/tex].

Important: verify that the solution [tex]x = 15[/tex] meet the assumption [tex](x / 5) \ge 0[/tex]. Indeed, [tex](x / 5) = (15 / 5) = 3[/tex] and is indeed non-negative. Hence, the solution [tex]x = 15\![/tex] is valid.

On the other hand, if [tex](x / 5) < 0[/tex], then [tex]|x / 5| = - x / 5[/tex].

Substitute into the original equation: [tex](-x / 5) = 3[/tex]. Solve for [tex]x[/tex]: [tex]x = -15[/tex].

Similarly, verify that the solution [tex]x= - 15[/tex] satisfies the current assumption that [tex](x / 5) < 0[/tex]. Indeed, this assumption is met, and [tex]x = -15[/tex] is also a valid solution.

prove that:
[tex] |x \: y \: z \\ {x \: {y \\ {z \\ yz \: zx \: xy = (y - z) \: (z - x) \: (x - y) \: (xy + yz + zx)}^{2} }^{2} }^{2} | [/tex]

Answers

Answer:

???

Step-by-step explanation:

moris code?

Answer:

c, none of the above

Step-by-step explanation:

khan

What is the percents of the quantity 30% of 760

Answers

Answer:

the answer is 228

Step-by-step explanation:

30% × 760 =

(30 ÷ 100) × 760 =

(30 × 760) ÷ 100 =

22,800 ÷ 100 =

228

I hope this is what you were looking for

Answer:

228

Step-by-step explanation:

30% of 760 = [tex]\frac{30}{100}*760[/tex]

                  = 3 *76

                  = 228

Area of an square is 144^2 how big is the circumstance of the square

Answers

Answer:

576

Step-by-step explanation:

That's your answer.

5. One side of a triangle has length 12.
2. How long is the segment that joins the midpoints of the other two sides?
b. How long would the segment joining the midpoints be if the side of the
triangle had length 10? Length 18? Length 19?

Answers

i’m just doing these for points i’m so sorry hopefully someone can give you the answer

What is the solution to the equation Sqrt 2x+6-Sqrt x+4 = 1?

Answers

Answer:

its 5

Step-by-step explanation:

The value of x in the expression 2x + 3 = 13 is​

Answers

Answer:

B

Step-by-step explanation:

get x by itself

2x+3=13 - subtract 3 from both sides

2x=10 - divide each side by 2

x=5

Everyone thought that Martha Mathy was trying to start a new fashion trend when she started wearing socks that did not match. her "look" started to catch on, and pretty soon all the kids at her school were wearing mixed-up socks, too. Rita Writer, a reporter for the school paper, interviewed Martha about the new sock trend. " Wat gave you the idea to wear mismatched socks?" Rita Asked.

"Its simple mathematics," Martha replied. "you see, I have 18 socks at home but no two are the same. with just these 18 socks, I can create over 100 unique pairs of mismatched socks." Rita found this hard to believe, so she checked it out. Was Martha correct?

Answers

Answer:

There are 153 combinations

Combinations - any two from eighteen is given by the formula 18C2 or 18! / (2!*16!)

= 18 * 17 / 2 = 153

OK that is the maths - now the explanation

The first sock can be any of 18

The second sock can be any of 17 (one already been selected and they must be mismatched)

Therefore there are 18*17 = 306 permutations she could make

However the question asks for "combinations" not "permutations"

A green sock on the right foot and a yellow sock on the left foot is deemed to be a different "permutation" to a yellow sock on the right foot and a green sock on the left foot. HOWEVER, they are regarded as the same "combination" in both cases you have one green and one yellow sock.

Therefore for combinations we must divide the 306 permutations calculated above by 2 = 153

FYI Walton has incorrectly given you the value of 18!. That would only apply if Martha Mathy had 18 feet!

Graph the function
f(x)=3/4x+2

Answers

Answer:

i added the graph below :) hope this helps hun <3

Step-by-step explanation:

What is the equation of the line that passes through the point (−1,−1) and has a slope of −6?

Answers

Answer: y= -6x -7

Step-by-step explanation:

Point slope formula : y-y1=m(x-x1)

y- (-1)=-6(x- (-1))

y+1= -6(x+1)

y+1= -6x-6

y+1-1=-6x-6-1

y=-6x-7

Standard from 6x+y=7

help please please guys

Answers

Answer:

Sorry... I don't understant...

missing fun activities

In a class of pupils, 11 play the flute and piano.
10 play the flute only.
5 play the piano only.
3 play neither instrument.
How many pupils are in the class?

Answers

Answer:

The answer is 29

Step-by-step explanation:

11+10+5+3=29

please help me the first person gets the brainiest

Answers

One axis is used for kilograms, the other for pounds. When the x-axis is kilograms, the line includes points (1, 2.2), (2, 4.4), and (3, 6.6). The graph is a straight line that passes through the origin. The line is straight because unit conversions are proportional.



A furniture store routinely calls some customers to inquire about their buying experience in the showroom, the delivery and setup, and their overall satisfaction with

purchase. Today the calls will go to 2 homes randomly selected from last week's 5 customers. How many different groups of customers could the store call?

Answers

Answer:

10 different groups of customers could the store call

Step-by-step explanation:

Given the data in the question;

calling two (2) homes out of last week's five (5) customers;

so, there are 5 customers from last week and todays call needs to go to 2 customers randomly;

hence, Total group will be;

[tex]\left[\begin{array}{ccc}5\\2\\\end{array}\right][/tex]  = 5! / ( 2! × ( 5 - 2 )!

= 5! / (2! × 3! )

= 10

Therefore, 10 different groups of customers could the store call

Find the cardinal number of 200, 201,202,203,...,1099​

Answers

Answer:

there is a thing called you can use that

Step-by-step explanation:

One shade of purple paint is made by mixing 2 pints of red and 5 pints of blue paint. Charley has 20 pints of blue paint. How many pints of red paint does he need to make the purple paint?

Answers

Answer:

8 pints

Step-by-step explanation:

completely the equation 2(x+5)=11

Answers

2(x+5)=11
2x+10=11
2x=1
x= 1/2 or 0.5

Rita works 1234 hours in her first week at a new job. She works 1514 hours in the second week. How many more hours does Rita work the second week?

Answers

Answer:

280

Step-by-step explanation:

1514-1234 = 280

based on your understanding about matendo
activities
LEARNING ACTIVITY 1
horizontal, vertical or diagonal The first letter of your answer is given already.
hank for the four parts of a typical mathematical system using Word Hunt Puzzle. It will be
1. U
2. D.
3. P
4 T
U B
MNO
Y
R
F G
V
GFIED
T
V
D
D
NO
C
N
0
B
Ol
F
1
K
P
N
G
NNN
RSES
Y Y
P
ONO
WWV
V
D
T
L
B
F
w
A
N
T
5
E
EO
$
T
T
V
W
A
Z
X
0
1
5
c
G
D
LEARNING ACTIVITY 2
Determine if the following terms represent a POINT, a LINE or a PLANE
1. Tip of a ballpen
6. wall
2. Screen of a cellphone
7. Note card
3. Cable wire
8. mole
4. Laptop
9. Hair strand
5. Edge of a table
10 Edge of the desk​

Answers

Answer:

what is the question? where is the diagram?

-4 = r divided by 20 − 5
Solve for R

Answers

Answer:

20

Step-by-step explanation:

Simplify both sides of the equation.

−4= r 20 −5 −4= 1 /20 r+−5 −4= 1 /20 r−5

Flip the equation.

1 /20 r−5=−4

Add 5 to both sides.

1 /20 r−5+5=−4+5

1 /20 r=1

Multiply both sides by 20.

20*( 1 /20 r)=(20)*(1)

r=20

a student earned 44 out of 50 points on the last test. what percent correct did the student earn

Answers

Answer:

88%

Step-by-step explanation:

44/50 = 88/100 = 88%

88% is the answer ❤️❤️❤️❤️

-5.2k+2.9 =-12k+30.1
Please show work !

Answers

answer: 3.8857

explanation:

Simplifying

-5k + 2.9 = -12k + 30.1

Reorder the terms:

2.9 + -5k = -12k + 30.1

Reorder the terms:

2.9 + -5k = 30.1 + -12k

Solving

2.9 + -5k = 30.1 + -12k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '12k' to each side of the equation.

2.9 + -5k + 12k = 30.1 + -12k + 12k

Combine like terms: -5k + 12k = 7k

2.9 + 7k = 30.1 + -12k + 12k

Combine like terms: -12k + 12k = 0

2.9 + 7k = 30.1 + 0

2.9 + 7k = 30.1

Add '-2.9' to each side of the equation.

2.9 + -2.9 + 7k = 30.1 + -2.9

Combine like terms: 2.9 + -2.9 = 0.0

0.0 + 7k = 30.1 + -2.9

7k = 30.1 + -2.9

Combine like terms: 30.1 + -2.9 = 27.2

7k = 27.2

Divide each side by '7'.

k = 3.885714286

Simplifying

k = 3.885714286

hope this helped;))))

A graduate student is performing a study on a new antidepressant. The drug is supposed to reduce depression, but the graduate student realizes that it may do nothing or even increase depression, so she decides to formulate nondirectional hypotheses and conduct a two-tailed test. First, she uses mu_general population to denote the average score on the depression inventory for the population of all depressed people, and mu_antidepressant to denote the average score on the depression inventory for the population of depressed people who take the new antidepressant. She knows that the average score for all depressed people is mu_general population = 25, with a standard deviation of sigma = 6. The graduate student identifies the null and alternative hypotheses as: H_0: mu_antidepressant = mu_general population H_1: mu_antidepressant notequalto mu_general population The sample of 36 depressed people who tried out the new antidepressant scored an average of 23.3. Since the graduate student knows the standard deviation of the scores on the depression inventory for the population of people who are depressed, she intends to use a hypothesis test that uses the z-score of the sample mean as the test statistic (also known as the z test). First, she wants to make sure all the required assumptions are satisfied. Which of the following conditions is not a required assumption for the z test?
The scores on the depression inventory follow a normal distribution or the sample size is large (at least 30).
The standard deviation of the scores on the depression inventory is the same for those who take the antidepressant and those who don't.
Each observation is independent of every other observation.
The sample size must be very large.
Members of the sample are selected randomly.
Use the Distributions tool to find the critical region for alpha = .05. The critical z-scores (the values for z-scores that separate the tails from the main body of the distribution, forming the critical regions) are_______
Calculate the z statistic, and use the Distributions tool to evaluate the null hypothesis. The z statistic is______ The z statistic_______ lie in the critical region for a two-tailed hypothesis test. Therefore, the null hypothesis is______ .

Answers

Answer:

Step-by-step explanation:

From the given information:

The null and the alternative hypothesis is:

[tex]H_o: \mu_{antidepressant}= \mu_o[/tex]

[tex]H_1: \mu_{antidepressant}\ne \mu_o[/tex]

The population mean = 25

The sample mean = 23.3

sample size n = 36

standard deviation = 6

From the following conditions given; the condition that is not required is:

[tex]\text{The sample size must be very large}[/tex]

Since the sample size is 30, we do not need the condition and it's enough for the Z test provided that the population is not normally distributed. If the population is distributed normally, then any sample size is valid:

Then, the test statistics can be computed as follows:

[tex]Z = \dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}} }[/tex]

[tex]Z = \dfrac{23.3 - 25}{\dfrac{6}{\sqrt{36}} }[/tex]

[tex]Z = \dfrac{23.3 - 25}{\dfrac{6}{6} }[/tex]

[tex]Z = -1.7[/tex]

At the level of significance 0.05

Since the test is two-tailed, the critical value [tex]Z_{\alpha/2} = Z_{0.025} = 1.96[/tex]

Provided that the Z value is not less than the critical value;

Then, we fail to reject the null hypothesis.

We conclude that there is no enough evidence that the drug reduces depression.

Aquarium World
A package shipment company recorded the number of
packages received at each of two businesses,
Aquarium World and Rare Vinyl. The line plots show
the number of packages received at each business
every day over 2 weeks.
x x
X X X X X
X X X X X X X
5
10
15
What statements about the two plots' distributions are
true?
Rare Vinyl
Choose each correct answer.
The range of packages shipped to
Aquarium World is greater than the range in
packages shipped to Rare Vinyl.
The range of packages shipped to Rare
Vinyl is greater than the range of packages
shipped to Aquarium world.
Only the distribution of the data for
packages shipped to Aquarium World is
approximately symmetrical.
The distribution of the data for packages
shipped to both business is approximately
symmetrical.

Answers

Answer:

•the range of packages shipped to rare vinyl is greater than the range of packages shipped to aquarium world.•

•The distribution of the data for packages shipped to both business is approximately symmetrical.•

Step-by-step explanation:

I took the test

Aramaic sequence how do you find the term

Answers

n
a

= the term that you want to find


a
1

= first term in the sequence

n = the term position (ex: for 5th term, n = 5 )


d = common difference of any pair of consecutive or adjacent numbers

Companies use employee training for various reasons, including employee loyalty, certification, quality, and process improvement. In a national survey of companies, BI Learning Systems reported that 56% of the responding companies named employee retention as a top reason for training. Suppose 38% of the companies replied that they use training for process improvement and for employee retention. In addition, suppose that of the companies that use training for process improvement, 89% use training for employee retention. A company that uses training is randomly selected. a. What is the probability that the company uses training for employee retention and not for process improvement

Answers

Answer:

0.3081 = 30.81% probability that the company uses training for employee retention and not for process improvement

Step-by-step explanation:

56% employee retention.

38% for process improvement. Of those, 89% for employee retention.

a. What is the probability that the company uses training for employee retention and not for process improvement

The 56% is composed by:

x of 100 - 38 = 72%(not for process improvement)

89% of 38%(for process improvement).

We want to find x. So

[tex]0.72x + 0.89*0.38 = 0.56[/tex]

[tex]0.72x = 0.56 - 0.89*0.38[/tex]

[tex]x = \frac{0.56 - 0.89*0.38}{0.72}[/tex]

[tex]x = 0.3081[/tex]

0.3081 = 30.81% probability that the company uses training for employee retention and not for process improvement

In ΔEFG, the measure of ∠G=90°, FG = 4.8 feet, and GE = 3.5 feet. Find the measure of ∠F to the nearest degree.

Answers

Answer:

36

Step-by-step explanation:

What function uses the ADJACENT and the OPPOSITE?

\text{SOH-CAH-TOA}

SOH-CAH-TOA

\tan F = \frac{\text{opposite}}{\text{adjacent}}=\frac{3.5}{4.8}

tanF=

adjacent

opposite

=

4.8

3.5

\tan F = \frac{3.5}{4.8}

tanF=

4.8

3.5

F=\tan^{-1}(\frac{3.5}{4.8})

F=tan

−1

(

4.8

3.5

)

F=36.098\approx 36^{\circ}

F=36.098≈36

Answer:

36

Step-by-step explanation:

Cookies are sold singly or in packages of 8 or 24. With this packaging, how many ways can you buy 48 cookies?

Answers

Answer:

12

Step-by-step explanation:

this was right got the question wrong when I first did it

In "12 ways" you can 48 cookies. A complete solution is provided below.

According to the question,

Packages having,

= 8 or 24

Firstly we choose,

8 cookies packages 6 or,24 cookies packages 2 or,One 24 cookies packages remaining three 8 cookies packages.

hence,

→ The total ways you can buy 48 cookies will be:

= [tex]6+2+1+3[/tex]

= [tex]12 \ ways[/tex]

Learn more:

https://brainly.com/question/3897030

15/3+30/3= how I can solve it ?

Answers

15/3=5
30/3=10

5+10=15
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Help would be appreciated. Help please................. Answer this due soon By 1896 women could vote in the states of Wyoming, Colorado, Utah, and...A. New YorkB. CaliforniaC. IdahoD. Montana MY2B =CouRound your answer to the nearest hundredth.SAAMYPro9ProTeaB5 Write extensively the 3 main constituent of DNA Someone please help me asap!!! I need serious answers please explain! I will give brainliest!! Graph y=x2, could someone help? Will mark BRAINLIEST if a real answer!! Choose one paragraph from To Kill a Mockingbird that uses a variety of clauses and phrases. Identify and label at least three different kinds of clauses and phrases in the paragraph. True or false questions (ILL GIVE BRAINLEIST IF THERE IS AN REASONABLE ANSWER AND IF WRIGHT)1. The Romans were located in the same place as the Greek s2. The Indian Sea gave them access to travel3. Rome was located in Present day Italy4. Remus and Romulus are how the Romans explained their founding5. The Latins are the ancestors to the Romans6. They were rules by the Egyptians7. The Roman Republic will last for 500 years[ Which one would most suited for an anime skin color Over the past few decades, many cities, as well as developed and developing countries, have started public ________, often in conjunction with universities and research institutions, to promote new business development. area of4 cm5 cm5"/ang3 cm1.5 cm 2) The sum of reciprocals of Donald's age 7 years ago and his age after 5 years is . Howold is Donald now? Point F is on line CD. Find the measure of angle CFE. Read and choose the correct option to complete the sentence with the preterite or the imperfect.Hace un ao Paula y yo ________ el metro todos los das. (1 point)tombamostomabantomamostomaron Quizziz 9th grade help please please Briefly describe how people made pots in the uae around early bronze age love visiting the draft for an argumentative essay the writer should check for Fill in the blanks to make a true statement.(2+___i) + (___+3i) = 6 + 8i