A student’s work to simplify a radical is shown below. Select the statement which best applies to the sample mathematical work.

70.80

...... ................ .......

Answer:

y = -7x+3

Step-by-step explanation:

We can write the function as

y = (3-x) / 7

To find the inverse of this function we have to do 2 things

a. change x with y and y with x  and

b. find the y

a. y = (3-x) / 7, change x with y and y with x  

   x = (3-y) / 7, multiply both sides by 7

b.     7x = 3-y, subtract 3 from both sides

      7x-3 = -y, multiply both sides by -1

      -7x+3 = y

The inverse function of

f(x) = (3-x)/7  is [tex]f^{-1} (x) = -7x + 3[/tex]

Answer:

The range is the best measure of variability because the distribution has an outlier.

Either the IQR or the range are good measures of variability because the distribution has no outliers.

The IQR is the best measure of variability because the distribution has an outlier.

Step-by-step explanation:

is this what you was looking for

If the ratio of the dimensions is 4:7 and the shorter dimension is 10ft, we know that the 10ft corresponds to the 4 in this scenario. We can set up the equation as follows:

[tex]\frac{4}{7} =\frac{10}{x}[/tex]

You have to multiply by 2.5 to get from 4 to 10. And since we want to make sure we are maintaining the ratio, we have to multiply the denominator, 7, by 2.5 as well.

[tex]\frac{4}{7}*\frac{2.5}{2.5}=\frac{10}{17.5}[/tex]

This means your shorter side has a length of 10ft and your longer side has a length of 17.5ft.

AREA

The formula for the area of a rectangle is: [tex]w*l[/tex]

So we can plug our dimensions into the formula: [tex]10*17.5=175[/tex]

So 175 is our area. But we can't forget about units! Since this is area and we multiplied our units together, our units would be squared. That means our answer is 175 square feet.

PERIMETER

The formula for the perimeter of a rectangle is: [tex]2(w+l)[/tex]

We can plug our dimensions into the formula: [tex]2(10+17.5)=55[/tex]

So 55 is our perimeter. Of course, we can't forget about our units. Because this is perimeter, we only added our units together, so they don't change. That means our answer is 55 feet.

Answer:

x = -1, y = -1

Step-by-step explanation:

Given:

[tex]\begin{bmatrix}2x-3y=1\\ x+2y=-3\end{bmatrix}[/tex]

Solve:

[tex]\mathrm{Substitute\:}x=\frac{1+3y}{2}[/tex]

[tex]\begin{bmatrix}\frac{1+3y}{2}+2y=-3\end{bmatrix}[/tex]

Simplify

[tex]\begin{bmatrix}\frac{1+7y}{2}=-3\end{bmatrix}[/tex]

[tex]\mathrm{For\:}x=\frac{1+3y}{2}[/tex]

[tex]\mathrm{Substitute\:}y=-1[/tex]

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

[tex]x=-1[/tex]

[tex]The\:solutions\:to\:the\:system\:of\:equations\:are[/tex]

[tex]x=-1,\:y=-1[/tex]

Check Answer:

2(-1)-3(-1) = 1

True

-1+2(-1)= -3

True

~Lenvy~

Answer:

Hey Here Is Ur Answer

Step-by-step explanation:

3/5 + 1/3 = 14/15

5 3/5 ÷ 14/15 = 6

so

blue:red = 3/5 : 1/3 = 18/5 : 2

HOPE IT HELP U

3/5 + 1/3 = 14/15

5 3/5 ÷ 14/15 = 6

so

blue:red = 3/5 : 1/3 = 18/5 : 2                  

Answer:

Step-by-step explanation:

Formula

Area = B * h

Givens

Base = 2.5

height = 5.25

Solution

You choose the value for the base and height from the fact that the height touches the base (which has been extended) at right angles.

Area =  2.5 * 5.25

Area = 13.125

Answer: Area = 13.125 or 13 1/8

Answer:

four sixths + three fifths.

Step-by-step explanation:

1 8/30 = 38/30.

4/6 + 3/5

= 20/30 + 18/30 = 38/30.

Hey there!

ORIGINAL EQUATION:

(25 + 4)(52 - 5)

= (29)(47)

= 1,363

Original answer: 1,363
____________________
SOLVING FOR THE ESTIMATION EQUATION:

25 = 30
4 = 0

~~~~~~~~
52 = 50

5 = 10

(30 + 0)(50 - 10)

= 30(40)

= 1,200

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:256960ft

Step-by-step explanation: LENGTHXWIDTH . So you would want to multiply 440x584 and that is 256960 So it is 256960ft I think.

Answer:

297 ft

Step-by-step explanation:

Answer:

There is no affirmative formula, but this is the basics

Step-by-step explanation:

DDM Formula=

Stock value = Dividend per share / (Required Rate of Return – Dividend Growth Rate)

Rate of Return = (Dividend Payment / Stock Price) + Dividend Growth Rate.

The P/E Ratio. The price-to-earnings ratio or P/E ratio is a popular metric for valuing stocks that works even when they have no dividends. Regardless of dividends, a company with high earnings and a low price will have a low P/E ratio. Value investors see such stocks as undervalued.

The current price is the most recent selling price of a stock, currency, commodity, or precious metal that is traded on an exchange and is the most reliable indicator of that security's present value.

The formula consists of taking the DPS in the period by (Required Rate of Return – Expected Dividend Growth Rate). For example, the value per share in Year is calculated using the following equation: Value Per Share ($) = $5.15 DPS ÷ (8.0% Ke – 3.0% g) = $103.00.

Briefly, in order to be eligible for payment of stock dividends, you must buy the stock (or already own it) at least two days before the date of record. That's one day before the ex-dividend date.

Answer:

10 trips

Step-by-step explanation:

50kg in a bag, 4535.92 kg in 5 tons

4535.92kg/50kg = 90.7184

90/10 = 9 trips

but there's still 0.7184 bag left, so the pick-up would need to make 10 trips.

Answer: 189

All Steps and Information Found in Image.

Hope This Helped!

The circumference of a circle that was computed when the diameter is 3cm will be 9.426cm.

The circumference of a circle of gotten by the formula:

C = 2πr or πd

where,

r = radius

d = diameter

Since the diameter is given as 3cm, the circumference will be:

= πd

= 3.142 × 3

= 9.426cm

In conclusion, the circumference of the circle is 9.426cm.

Learn more about circle on:

https://brainly.com/question/25938130

Answer:

Step-by-step explanation:

Answer: She.Was.Playing.By.Ear

Answer:

Step-by-step explanation:

5(a + a + b) = 5(2a + b)

use the distributive property:

a(b + c) = ab + ac

= 5 · 2a + 5 · b =10a + 5b

Answer:

[tex]\boxed{\sf{D. \quad 10a+5b}}[/tex]

Step-by-step explanation:

Use a distributive property.

Distributive property:

[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

⇒ a+a=2a

Rewrite the problem down.

[tex]\Longrightarrow: \sf{5(2a+b)}[/tex]

Multiply should be expanded.

⇒ 5*2a=10a

⇒ 5*b=5b

Rewrite the problem.

⇒ = 10a+5b

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

the one you click is correct.

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf x < 6}[/tex]

Step-by-step explanation:

Given inequality:

2x - 3 < 9

Add 3 to both sides

2x < 9 + 3

2x < 12

Divide 2 to both sides

x < 6

[tex]\rule[225]{225}{2}[/tex]

Answer:

Step-by-step explanation:

2x − 3 < 9

Solve:

2x − 3 < 9 <== add 3 to both sides

     + 3 + 3

2x < 12 <== divide both sides by 2, to isolate the variable (x)

/2    /2

x < 6

This means that x, can be any number than is smaller than (less than) 6.

A. x = −4

-5 < 6 <== correct

B. x = −3

-3 < 6 <== correct

C. x = −2

-2 < 6 <== correct

D. x = 3

3 < 6 <== correct

Therefore, all these are solutions to the inequality.

Hope this helps!

Answer: ∠A=144°

Step-by-step explanation:

∠A and ∠B are alternate exterior angles. Alternate exterior angles are congruent to each other. That means ∠A=∠B. Since we are given the measures of ∠A and ∠B, all we have to do is set them equal to each other.

10x+24=6x+72          [subtract both sides by 6x]

4x+24=72                  [subtract both sides by 24]

4x=48                         [divide both sides by 4]

x=12

Now that we found x, we need to plug it into ∠A.

10(12)+24=120+24=144

We know that ∠A=144°.

Step-by-step explanation:

i hope this helps the steps are within the photo

Answer:

504

Step-by-step explanation:

40%=.40

360*.40=144

original number + increase = x

360+144=504

Answer:

A = 1 square unit

Step-by-step explanation:

Given:

To find A, substitute the value of s into the equation for A and solve:

[tex]\sf \implies A=16 \cdot \left(\dfrac14\right)^2[/tex]

[tex]\sf \implies A=16 \cdot \left(\dfrac{1^2}{4^2}\right)[/tex]

[tex]\sf \implies A=16 \cdot \left(\dfrac{1}{16}\right)[/tex]

[tex]\sf \implies A=\dfrac{16 \cdot 1}{16}[/tex]

[tex]\sf \implies A=\dfrac{16}{16}[/tex]

[tex]\sf \implies A=1[/tex]

Therefore, A = 1 square unit

[tex]\\ \rm\rightarrowtail A=16s^2[/tex]

[tex]\\ \rm\rightarrowtail A=16(1/4)^2[/tex]

[tex]\\ \rm\rightarrowtail A=16(0.25)^2[/tex]

[tex]\\ \rm\rightarrowtail A=16(0.0625)[/tex]

[tex]\\ \rm\rightarrowtail A=1units^2[/tex]

Answer:

V(sphere) =

[tex] \frac{4 }{3} \pi \:{r}^{3} = 195.43 \\ [/tex]

V(hemisphere) = V(sphere)/2 = 97.715 = 97.7

Answer:

7

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

I hope its helped<8 thank you

Answer:

21.42

Step-by-step explanation:

Imagine it as a full circle. 3 x 4 will give you the diameter of a full circle, which is 12. circumference = pi x diameter. so 12 pi (we can work that out later). now for the quater circle, divide it by 4, so 3 pi. Then you have the 2 extra edges which are both 2r, so 6 each. finally, you have 3 pi plus 12 which = 21.42

Answer:

5 + 3(4)

5+ 12

17

Step-by-step explanation:

brainlyist plssssssssss

Answer:

17

Step-by-step explanation:

5 + (3 x 4)

5 + (12)

17

You're multiplying 3 by 4 because x = 4. When a variable is on top of a number, you will multiply it. Almost like saying 3(4).

I hope this helped!

Answer:

36

Step-by-step explanation:

triangular numbers are

1, 3, 6, 10, 15, 21, 28, 36, .....

square numbers are

1, 4, 9, 16, 25, 36, ..........

the smallest number that is triangular and square is 36

Answer:

the answer is 47

Step-by-step explanation:

subtract 133 from 180 and you get 47

Answer:

114

Step-by-step explanation:

The external angle measure is equal to the half of difference between the larger intercepted arc (5x-12) and the smaller intercepted arc (3x)

32 = (5x-12 -3x)/2

combine like terms in parenthesis and multiply both sides by 2

32·2 = 2x-12

multiply 32·2 = 64, and add 12 to both sides

64 + 12 = 2x

add 64+12 = 76, and divide both sides by 2 to isolate x

76/2 = x

38 = x

The measure of arc AB is 3x.

Substitute x for 38

Measure of arc AB = 3x = 3·38 = 114

Step-by-step explanation:

a parallelogram has 2 pairs of equation sides (as a rectangle, just not necessarily with the 90° angles).

so, when one side is 16 cm, then there is a second side with 16cm.

the perimeter is the sum of all 4 sides (the 2 pairs of sides) : 48 cm.

and we know the length of one of these pairs : 2×16 = 32 cm.

what is left for the second pair of sides ?

48 - 32 = 16 cm

so, these 16 cm is the sum of a pair of equally long sides. that means their are

16/2 = 8 cm

long each.

so, the length of the "remaining" side is 8 cm.