All categories

2 years ago

What is the answer for(y⁴)³

Mathematics

2 answers:

Natasha2012 [34]2 years ago

8 0

The answer to the problem is y^12

Illusion [34]2 years ago

4 0

The answer is y^12

you multiply the 4 and 3 together

hope this helps

You might be interested in

The volume V (in cubic feet) of a right cylinder with a height of 3 feet and radius r (in feet) is given by V=3πr2. Solve the fo

makkiz [27]

Answer:

118. The radius is 118 feet.

Step-by-step explanation:

6 0

2 years ago

Which statements are true of the graph of h(x) = RootIndex 3 StartRoot x minus 4 EndRoot? Check all that apply. The domain of h(

Nastasia [14]

True statements:

The domain of h(x) is the set of all real numbers.

The range of h(x) is the set of all real numbers

Step-by-step explanation:

The function given in this problem is

$h(x)=\sqrt[3]{x-4}$

Now let's analyze the statements given:

- The domain of h(x) is the set of all real numbers. --> TRUE. The domain of a function is the set of values allowed for x. Here there is no restriction for the value of x, since the argument of an odd root can have any value (either positive or negative), so the domain of h(x) is the set of all real numbers.

- The range of h(x) is the set of all real numbers. --> TRUE. The range of a function is the set of values that the y can take. In this case, y can take any value: in fact, as $x \rightarrow +\infty$ , then $y \rightarrow +\infty$ , and as $x \rightarrow -\infty$ , then $y \rightarrow -\infty$ , and since there are no points of discontinuity in the function, this means that it can take any value of y.

For all points (x, h(x)), h(x) exists if and only if x – 4 > 0 --> FALSE. As we stated in part 1), the argument of a cubic root can be either positive or negative, so the function is defined also for x - 4 < 0.

The graph of h(x) is a translation of f(x) down 4 units. --> FALSE. The form of f(x) is not given so we can't evaluate this statement.

The graph of h(x) intercepts the x-axis at (4, 0). --> FALSE. In fact, when $x=0$ , the value of the function is

$h(0)=\sqrt[3]{0-4}=\sqrt[3]{-4}$

which is different from 4.

Learn more about domain and range:

brainly.com/question/7128279

brainly.com/question/9607945

brainly.com/question/1485338

#LearnwithBrainly

4 0

2 years ago

Read 2 more answers

Match each pair of points to the equation of the line that is parallel to the line passing through the points.

Paraphin [41]

we know that

If two lines are parallel, then, their slopes are equal.

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we will proceed to calculate the slope in each case, to determine the solution of the problem

Case A) Point $B(5,2)\ C(7,-5)$

Find the slope BC

Substitute the values in the formula

$m=\frac{-5-2}{7-5}$

$m=\frac{-7}{2}$

$m=-3.5$

The equation $y=-3.5x-15$ is parallel to the line passing through the points $B(5,2)\ C(7,-5)$

therefore

the answer Part A) is

$B(5,2)\ C(7,-5)$ ------> $y=-3.5x-15$

Case B) Point $D(11,6)\ E(5,9)$

Find the slope DE

Substitute the values in the formula

$m=\frac{9-6}{5-11}$

$m=\frac{3}{-6}$

$m=-0.5$

The equation $y=-0.5x-3$ is parallel to the line passing through the points $D(11,6)\ E(5,9)$

therefore

the answer Part B) is

$D(11,6)\ E(5,9)$ ------> $y=-0.5x-3$

Case C) Point $F(-7,12)\ G(3,-8)$

Find the slope FG

Substitute the values in the formula

$m=\frac{-8-12}{3+7}$

$m=\frac{-20}{10}$

$m=-2$

Any linear equation with slope $m=-2$ will be parallel to the line passing through the points $F(-7,12)\ G(3,-8)$

Case D) Point $H(4,4)\ I(8,9)$

Find the slope HI

Substitute the values in the formula

$m=\frac{9-4}{8-4}$

$m=\frac{5}{4}$

$m=1.25$

The equation $y=1.25x+4$ is parallel to the line passing through the points $H(4,4)\ I(8,9)$

therefore

the answer Part D) is

$H(4,4)\ I(8,9)$ ------> $y=1.25x+4$

Case E) Point $J(7,2)\ K(-9,8)$

Find the slope JK

Substitute the values in the formula

$m=\frac{8-2}{-9-7}$

$m=\frac{6}{-16}$

$m=-0.375$

Any linear equation with slope $m=-0.375$ will be parallel to the line passing through the points $J(7,2)\ K(-9,8)$

Case F) Point $L(5,-7)\ M(4,-12)$

Find the slope LM

Substitute the values in the formula

$m=\frac{-12+7}{4-5}$

$m=\frac{-5}{-1}$

$m=5$

The equation $y=5x+19$ is parallel to the line passing through the points $L(5,-7)\ M(4,-12)$

therefore

the answer Part F) is

$L(5,-7)\ M(4,-12)$ ------> $y=5x+19$

8 0

2 years ago

Read 2 more answers

Fiona wrote the linear equation y = y equals StartFraction 2 over 5 EndFraction x minus 5.x – 5. When Henry wrote his equation,

xeze [42]

Answer:

D. $x-\frac{5}{2}y = \frac{25}{2}$

Step-by-step explanation:

Given

$y = \frac{2}{5}x - 5$

Required

Determine its equivalent

From the list of given options, the correct answer is

$x - \frac{5}{2}y = \frac{25}{2}$

This is shown as follows;

$y = \frac{2}{5}x - 5$

Multiply both sides by $\frac{5}{2}$

$\frac{5}{2} * y = \frac{5}{2} * (\frac{2}{5}x - 5)$

Open Bracket

$\frac{5}{2} * y = \frac{5}{2} * \frac{2}{5}x - \frac{5}{2} *5$

$\frac{5}{2}y = x - \frac{25}{2}$

Subtract x from both sides

$\frac{5}{2}y - x = x -x - \frac{25}{2}$

$\frac{5}{2}y - x = - \frac{25}{2}$

Multiply both sides by -1

$-1 * \frac{5}{2}y - x * -1 = - \frac{25}{2} * -1$

$-\frac{5}{2}y + x = \frac{25}{2}$

Reorder

$x-\frac{5}{2}y = \frac{25}{2}$

Hence, the correct option is D

$x-\frac{5}{2}y = \frac{25}{2}$

9 0

2 years ago

Read 2 more answers

the volume of solid A is 28m3 and the volume of solid B is 1,792m3. If the solids are similar, what is the ratio of the surface

Maslowich

If k is the scale factor between the dimensions of the similar solids, the areas are related by k² and the volumes are related by k³. That is
$\ \ \dfrac{V_{a}}{V_{b}}=k^{3}$
$\ \ k=(\dfrac{V_{a}}{V_{b}})^{\frac{1}{3}}$

The areas are related by k², so
$\ \ \dfrac{A_{a}}{A_{b}}=k^{2} = (\dfrac{V_{a}}{V_{b}})^{\frac{2}{3}}$
$\ \ \dfrac{A_{a}}{A_{b}} = (\dfrac{28\ m^{3}}{1792\ m^{3}})^{\frac{2}{3}}=(4^{-3})^{\frac{2}{3}}$
$\ \ =4^{-2}=\dfrac{1}{16}$

The ratio of the surface area of solid A to that of solid B is ...
1/16

6 0

2 years ago