3 years ago

ASAP PLS.

Mathematics

1 answer:

myrzilka [38]3 years ago

4 0

Answer:

$\$19,710$

Step-by-step explanation:

step 1

Find the volume of the composite figure

The volume of the composite figure is equal to the volume of the cube plus the volume of the square prism

$V=15^{3}+15^{2}(45)$

$V=13,500\ cm ^{3}$

step 2

Find the value of the figure

Multiply the volume by $1.46 per cubic centimeter

$13,500(1.46)=\$19,710$

You might be interested in

When the price of a dozen eggs is raised by$2.4, 15 fewer eggs can be bought with $60

boyakko [2]

Where is the question? Is it a true or false?

6 0

3 years ago

Read 2 more answers

Robin can run 1.71 kilometers in 10 minutes. How far can she run in 1.5 hours?

Flura [38]

Answer:

I think is 15.39 kilometers

Step-by-step explanation:

1 hour=60 minutes +.5 hours =90 minutes = 9 x 1.71 = 15.39

7 0

3 years ago

Megan and her little sister, Nora, counted their Halloween candy after trick-or-treating. They love taffy and wanted to know who

storchak [24]

Answer:

Nora

Step-by-step explanation:

M 20 : 50 = 2/5

N 11/25

2/5 = 10/25 < 11/25

3 0

3 years ago

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

seropon [69]

Answer:

$h'(x)=\frac{3r^{2}}{2\sqrt{r^3+5}}$

Step-by-step explanation:

1) The Fundamental Theorem of Calculus in its first part, shows us a reciprocal relationship between Derivatives and Integration

$g(x)=\int_{a}^{x}f(t)dt \:\:a\leqslant x\leqslant b$

2) In this case, we'll need to find the derivative applying the chain rule. As it follows:

$h(x)=\int_{a}^{x^{2}}\sqrt{5+r^{3}}\therefore h'(x)=\frac{\mathrm{d} }{\mathrm{d} x}\left (\int_{a}^{x^{2}}\sqrt{5+r^{3}}\right )\\h'(x)=\sqrt{5+r^{3}}\\Chain\:Rule:\\F'(x)=f'(g(x))*g'(x)\\h'=\sqrt{5+r^{3}}\Rightarrow h'(x)=\frac{1}{2}*(r^{3}+5)^{-\frac{1}{2}}*(3r^{2}+0)\Rightarrow h'(x)=\frac{3r^{2}}{2\sqrt{r^3+5}}$

3) To test it, just integrate:

$\int \frac{3r^{2}}{2\sqrt{r^3+5}}dr=\sqrt{r^{3}+5}+C$

5 0

3 years ago

Marta_Voda [28]

Answer:

4 and a half nights

8 0

3 years ago