Find the area of the following shape:

Answer: 28

When you simplify it down, you get:

8 + 9 - 12 - 5 + 28.

When you combine all like terms, you get 28.

Also, proof is shown in the image below.

The value of the expression 2³ + 3² – 3 x 4 – 5² ÷ 5 + (7 x 4) using PEMDAS rule is 28.

We have,

Expression:

2³ + 3² – 3 x 4 – 5² ÷ 5 + (7 x 4)

Using the PEMDAS rule.

Remove the parenthesis.

2³ + 3² – 3 x 4 – 5² ÷ 5 + 28

Simplify the exponents such as 2³, 3², and 5².

8 + 9 - 3 x 4 - 25 ÷ 5 + 28

Simplify the multiplication such as 3 x 4.

8 + 9 - 12 - 25 ÷ 5 + 28

Simplify the division such as 25 ÷ 5.

8 + 9 - 12 - 5 + 28

Simplify the addition and subtraction.

28

Thus,

The value of the expression is 28.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Answer:

Step-by-step explanation:

when x=5, 4(5)-3y=18

                        3y=2

                          y=2/3

The coordinate would be(5,2/3)

Answer:

1. 4(x+1)

2. 2(2x2−5x−2)

Step-by-step explanation:

[tex]6.[/tex]

[tex] \frac{1}{2} = \frac{1.5}{3} \: \: \: \: \: Less \: \: Than \: \frac{2}{3} [/tex]

[tex] \frac{8}{12} = \frac{2}{3} \: \: \: \: \: Equal \: \: To \: \frac{2}{3} [/tex]

[tex] \frac{3}{8} = \frac{1.125}{3} \: \: \: \: \: Less \: \: Than \: \frac{2}{3} [/tex]

[tex] \frac{10}{15} = \frac{2}{3} \: \: \: \: \: Equal \: \: To \: \frac{2}{3} [/tex]

[tex] \frac{4}{5} = \frac{2.4}{3} \: \: \: \: \: Greater \: \: Than \: \frac{2}{3} [/tex]

[tex] \frac{9}{10} = \frac{2.7}{3} \: \: \: \: \: Greater \: \: Than \: \frac{2}{3} [/tex]

[tex]7.[/tex]

[tex]Kenny = \frac{1}{8} [/tex]

[tex]Gail = \frac{2}{4} [/tex]

[tex] \frac{1}{8} ? \frac{2}{4} [/tex]

[tex]\frac{1}{8} ? \frac{2 \times 2}{4 \times 2} [/tex]

[tex] \frac{1}{8} < \frac{4}{8} [/tex]

[tex] \frac{1}{8} < \frac{2}{4} [/tex]

[tex]Gail \: \: ate \: \: more \: \: than \: \: Kenny[/tex]

Answer:

x=3 ,y=6

Step-by-step explanation:

4x+6y=44 eqni

4x+2y=28 eqn ii

now subtract it eqn i and ii

4x+6y=44

-4x+2y=28

or, 0 +4y=24

or, 4y=24

or , y=24/4

or,y=6

putting value of y in eqn i

4x+6y=44

4x+6×6=44

4x=44-36

4x=12

x=12/4

x=3

Answer:

ok

Step-by-step explanation:

Answer:

Step-by-step explanation:

according to the question

[tex]step - 1 : define[/tex]

[tex] \frac{2}{5} \times 30[/tex]

[tex]step - 2 : simplify[/tex]

[tex] \frac{60}{5} [/tex]

[tex] \huge 12[/tex]

Answer:

D. Move the decimal point in 132.9 three places to the left.

Step-by-step explanation:

Multiplication of a decimal by the nth power of 10:

We move the decimal point n places to the right.

Division of a decimal by the nth power of 10:

We move the decimal point n places to the left.

In this question:

There is a division by 1000, which is the 3rd power of 10, because [tex]10^3 = 1000[/tex]

So, we should move the decimal point three places to the left, and the correct answer is given by option D.

Answer:

a) 2/3

b) 1/9

c) 52/99

d) 2/11

e) 743/999

f) 29/111

Step-by-step explanation:

Take the recurring numbers (numbers after the decimal). If there is one recurring number place it over 9, if there are two then place them over 99, if there are three then place them over 999 etc.

Then simplify (if possible).

a) 6/9 = 2/3

b) 1/9

c) 52/99

d) 18/99=2/11

e) 743/999

f) 261/999=29/111

Answer:

(7,2)

45 units squared

Step-by-step explanation:

In order for the shape to be a rectangle the last vertex (lets call it D) must be the same vertical distance from C as A is from B (DC=AB), and the same horizontal distance from A as B is from C (AD=BC).

AB=DC=5

    -3+5=2

BC=AD=9

     -2+9=7

Therefore D is (7,2)

We already know the side lengths (5 and 9). Area is length by width. Therefore area = 5x9=45

Answer:

9/p+6

Step-by-step explanation:

Answer:

option d 11 .......substitute 2 inplace of x

As we know that

[tex]\sf \blue{Perimeter = 2(l + b)}[/tex]

Now,

[tex]\sf \orange{Area = l \times b}[/tex]

Area=28[tex]\bold{ m^2  }[/tex] 

Answer: C (x=1)

Step-by-step explanation:

f(x)=0 at points of intersection of the graph of the function with x-axis.

The graph of the function intersects x-axis at three points:

somewhere between -3 and -2;

somewhere between -1 and 0;

at x=1.

Since x=1 is the value of x from the domain, then correct choice is option C.

Answer: C

3 n – 9 = 8

Step-by-step explanation: Hope this helps:)

Answer:

3 n - 9 = 8

Step-by-step explanation:

Answer:

691,255(0.985)t ≤ 621,859; t ≥ 7

Step-by-step explanation:

i just did it. it was C

Answer:

Yes it is corect,

C

Step-by-step explanation:

Answer:

2,3,5,6

Step-by-step explanation:

Answer:

2,3,5,6 just did test and im from future edge 2023

Step-by-step explanation:

Answer:

a) The margin of error associated with a 95% confidence interval is of $4.73.

b) $26.49 to $35.95

Step-by-step explanation:

Question a:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96*\frac{19}{\sqrt{62}} = 4.73[/tex]

The margin of error associated with a 95% confidence interval is of $4.73.

Question b:

The lower end of the interval is the sample mean subtracted by M. So it is 31.22 - 4.73 = $26.49

The upper end of the interval is the sample mean added to M. So it is 31.22 + 4.73 = $35.95

So $26.49 to $35.95

Answer:

Zstatistic < Zcritical ; then we reject the null

-0. 790 > - 1.96

Hence, we fail to reject the Null

Step-by-step explanation:

Define the null and alternative hypothesis :

H0 : μ = 421

H1 : μ < 421

Given that :

Sample mean (x) = 416

Sample standard deviation, s = 29

α = 0.025

Sample size, n = 21

This is a lef tailed teast, hence if ;

Decision Rule :

Zstatistic < Zcritical ; then we reject the null

Zcritical at α = 0.025 (1 tailed) = - 1.96

Zstatistic = (x - μ) s/sqrt(n)

(416 - 421) / 29/sqrt(21)

Zstatistic = - 5 / 6.3283188

Zstatistic = - 5 / 6.3283188 = - 0.79

-0. 79 > - 1.96

Hence, we fail to reject the Null

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

We can write a proportion relating the short segment to the full length:

  (x+1)/18 = 4/(4+5)

  x +1 = 8 . . . . . . multiply by 18 and simplify

  x = 7 . . . . . . . .  subtract 1

Answer: try -2

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

If we use PEMDAS, we know that we need to do the multiplication and division first. (1/2)^4 is equal to 1^4/2^4, which is 1/16. Next, 1/16 * 32 is equal to 2. Finally, we do 6 divided by 3, which is 2. 2 - 2 is equal to 0, so the answer is 0.

Answer:

1.)  a=600

2.)b=8.5

3.)c=1

4.)d=163.500

5.)e=0.1

6.)f=20

7.)g=0.010

8.)h=-36

Step-by-step explanation:

Answer:

Step-by-step explanation:

Jenny planned to solve 2/3 of homework

On Saturday she solved 28 problems, which is 7/8 of the planned number

Planned number is:

Jenny's homework was:

Answer:

48 problems

Step-by-step explanation:

trust me, I do RSM too.

Answer: b

Step-by-step explanation:

Answer:

Step-by-step explanation:

2880° per ride doesn't make sense, because it is not a whole number.

Do you mean 2880° per ride?

r = 8 feet

circumference = 2πr = 16π feet

2880° × (16π feet)/(360°) = 128π feet ≅ 402 feet

A rider seated 8 feet from the merry-go-center round would travel 392.2 feet during the ride.

The circumference is the distance that surrounds a circle. We can measure the circumference of the earth by measuring the distance that we will have to walk all the way around the world.

Given, A merry go round rotates 2808 degrees per ride. A rider is seated 8 feet from the center.

Thus r = 8 feet

Circumference = 2πr

Circumference = 2π*8

Circumference = 16π

Distance traveled by that man = 2808* 16π/360

Distance traveled by that man = 392.22 feet

therefore, a rider seated 8 feet from the center of the merry-go travel during the ride would travel 392.2 feet.

Learn more about circumference here:

https://brainly.com/question/28757341

#SPJ2

Answer:

The fourth option i.e. 'no solution' is correct.

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ -\frac{2}{3}x-y=2\end{bmatrix}[/tex]

Adding both equations

[tex]-\frac{2}{3}x-y=2[/tex]

[tex]+[/tex]

[tex]\underline{\frac{2}{3}x+y=6}[/tex]

[tex]0=8[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ 0=8\end{bmatrix}[/tex]

0 = 8 is FALSE!

Therefore, the system of equations has no solution.

Thus,

No Solution!

Hence, the fourth option i.e. 'no solution' is correct.