Ask question

Ask question

All categories

3 years ago

15

1. In the following equation a, b, and care constants. In other words, a, b, and c should be

1 answer:

Luba_88 [7]3 years ago

6 0

That’s crazy who knew I neeed points rq sorry

You might be interested in

Which expression is equivalent??? help!

dexar [7]

Answer:

The equivalent expression for the given expression $\sqrt[3]{256x^{10}y^{7} }$ is

$4x^{3} y^{2}(\sqrt[3]{4xy} )$

Step-by-step explanation:

Given:

$\sqrt[3]{256x^{10}y^{7} }$

Solution:

We will see first what is Cube rooting.

$\sqrt[3]{x^{3}} = x$

Law of Indices

$(x^{a})^{b}=x^{a\times b}\\and\\x^{a}x^{b} = x^{a+b}$

Now, applying above property we get

$\sqrt[3]{256x^{10}y^{7} }=\sqrt[3]{(4^{3}\times 4\times (x^{3})^{3}\times x\times (y^{2})^{3}\times y )} \\\\\textrm{Cube Rooting we get}\\\sqrt[3]{256x^{10}y^{7} }= 4\times x^{3}\times y^{2}(\sqrt[3]{4xy}) \\\\\sqrt[3]{256x^{10}y^{7} }= 4x^{3}y^{2}(\sqrt[3]{4xy})$

∴ The equivalent expression for the given expression $\sqrt[3]{256x^{10}y^{7} }$ is

$4x^{3} y^{2}(\sqrt[3]{4xy} )$

5 0

3 years ago

What is the volume (in cubic units) of a sphere with a radius of 18 units? Assume that π = 3.14 and round your answer to the nea

Nataly [62]

Answer:

The volume of sphere is $24416.64\ cm^3$ .

Step-by-step explanation:

We have,

Radius of a sphere is 18 units.

It is required to find the volume of sphere.

The formula of the volume of sphere in terms of radius is given by :

$V=\dfrac{4}{3}\pi r^3$

Plugging all values in above formula

$V=\dfrac{4}{3}\times 3.14\times (18)^3\\\\V=24416.64\ cm^3$

So, the volume of sphere is $24416.64\ cm^3$ .

7 0

3 years ago

The amount of money the athletic booster club raised for the year is modeled by the function f(x) = 250x + 750. How much money d

nataly862011 [7]

The answer is b) $750

7 0

3 years ago

Read 2 more answers

- Trace has 453 trading cards,

erastova [34]

What is the least common denominator used to add the fractions 1/32 and 3/24

7 0

2 years ago

Extra points!! A candle is 17 in tall after burning for 3 hours. After 5

PIT_PIT [208]

Answer:

1) $h=-t+20$

2) 12 inches tall.

Step-by-step explanation:

1) The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

In this case:

$y=h$ (The height of the candle in inches)

$x=t$ (The time in hours)

Then, we can rewrite it:

$h=mt+b$

Based on the information provided in the exercise, the line passes through these points:

$(3,17)$ and $(5,15)$

Then, we can find the slope of the line with the formula $m=\frac{y_2-y_1}{x_2-x_1}$ :

$m=\frac{15-17}{5-3}=-1$

Now we need to substitute the slope and one of the points into $h=mt+b$ and then solve for "b":

$17=(-1)(3)+b\\\\b=17+3\\\\b=20$

Substituting values, we get that the a linear equation that models the relationship between the heigth of the candle and the time, is:

$h=-t+20$

2) We must substitute $t=8$ into the linear equation $h=-t+20$ in order to find the height of the candle after burning 8 hours:

$h=-(8)+20\\\\h=12$

4 0

4 years ago