Alyssa is painting her bedroom blue. Each of four walls has dimensions 12.9 ft by 11.1 ft. How much area will she paint?

What values of c and d make the equation true? RootIndex 3 StartRoot 162 x Superscript c Baseline y Superscript 5 Baseline EndRo

Reil [10]

Answer:

Step-by-step explanation:

<em>Equations </em>

We must find the values of c and d that make the below equation be true

$\sqrt[3]{162x^cy^5}=3x^2y \sqrt[3]{6y^d}$

Let's cube both sides of the equation:

$\left (\sqrt[3]{162x^cy^5}\right )^3=\left (3x^2y \sqrt[3]{6y^d}\right)^3$

The left side just simplifies the cubic root with the cube:

$162x^cy^5=\left (3x^2y \sqrt[3]{6y^d}\right)^3$

On the right side, we'll simplify the cubic root where possible and power what's outside of the root:

$162x^cy^5=3^3x^6y^3 (6y^d)$

Simplifying

$x^cy^5=x^6y^{3+d}$

Equating the powers of x and y separately we find

c=6

5=3+d

d=2

The values are

$\boxed{c=6,d=2}$

3 0

2 years ago

Read 2 more answers

Which of these is another way to write the function f(x)=5x?

Alexxx [7]

Answer:

d

Step-by-step explanation:

when f(x)=5......It can also be

f(x)=1/125(625x)

every whole number over one...1(625x)=625x

also 125(1)=125 therefore (625/125)x=5x

6 0

2 years ago

One lap around a track is 1/4 mile. on monday, stacy ran 11 laps.

creativ13 [48]

A. 2¾ miles

b. 22 laps/hr

c. 12 laps

8 0

2 years ago

A paint shop stocks 1800 liters of paint 24% of the paint is white. The shops sells 18% of the white paint and 7% of the rest of

Anuta_ua [19.1K]

Answer:The amount of paint that was sold altogether is 173.36 litres

Step-by-step explanation:

The total amount of paint that the paint shop stocks is 1800 litres.

24% of the paint is white. It means that the amount of white paint would be

24/100 × 1800 = 0.24 × 1800 = 432 litres.

The amount of the remaining paint other than white would be

1800 - 432 = 1368 litres

The shops sells 18% of the white paint. This means that the amount of white paint sold by the shop will be

18/100 × 432 = 0.18 × 432 = 77.6 litres.

The shops sells 7% of the rest of the paint.

This means that the amount of the rest paint sold by the shop will be

7/100 × 1368 = 0.07 × 1368 = 95.76 litres.

The amount of paint that was sold altogether would be

77.6 + 95.76 = 173.36 litres

5 0

2 years ago

Line segment AB is reflected across the y–axis to form line segment CD. Then, line segment CD is rotated 90° clockwise about the

Maksim231197 [3]

Answer:

The coordinates of EF are E(5,-4) and F(1,-4).

The line segment EF is in QIV

Step-by-step explanation:

The line segment AB has vertices at: A(-4,5) and B(-4,1).

We apply the rule $(x,y)\to (-x,y)$ to reflect AB in the y-axis to obtain CD.

$\implies A(-4,5)\to C(4,5)$

$\implies B(-4,1)\to D(4,1)$

We apply the rule $(x,y)\to (y,-x)$ to rotate CD 90 degrees clockwise about the origin to obtain EF.

$\implies C(4,5)\to E(5,-4)$

$\implies D(4,1)\to F(1,-4)$

The coordinates of EF are E(5,-4) and F(1,-4).

See attachment

4 0

2 years ago