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FromTheMoon [43]

3 years ago

5

BRAINLIEST AND 15 POINTS!!

1 answer:

Rasek [7]3 years ago

4 0

The answer would be B because the average rate of change formula calculates slope of lines, or a curve on a given range.it is defines as the ratio of the difference in the function (f/x) as it changes from "a" to "b" and the difference between "a" and "b" so ya answer is B

hope this helps, ~kashout

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Find the zeros of the function by factoring 3x^2+ 10x=8

Wittaler [7]

Answer:

$x=\frac{2}{3}, -4$

Step-by-step explanation:

hope this helps!

6 0

3 years ago

A building casts a shadow that is 50 feet in length. If the distance from the end of the shadow to the top of the building is 25

lozanna [386]

Answer:

The height of the building is of 244.95 feet.

Step-by-step explanation:

We use the Pythagorean Theorem to solve this question.

We have that:

The shadow of 50 feet is one side of the right triangle, while the height h is other side.

The hypotenuse is the distance from the end of the shadow to the top of the building, which is 250 feet.

So

$50^2 + h^2 = 250^2$

$h^2 = \sqrt{250^2 - 50^2}$

$h = 244.95$

The height of the building is of 244.95 feet.

8 0

2 years ago

Please help! it’s urgent

ycow [4]

Step-by-step explanation:

${9}^{ \frac{3}{2} } \times {27}^{ \frac{1}{2} } = {(3)}^{ \frac{3}{2} \times 2 } \times {(3)}^{ \frac{1}{2} \times 3} \\ = {3}^{3} \times {3}^{ \frac{3}{2} } \\ = {3}^{3 + \frac{3}{2} } \\ = {3}^{4\frac{1}{2} } \\ = {3}^{ \frac{9}{2} }$

8 0

3 years ago

A worker is to construct an open rectangular box with a square base and a volume of 196196 ft cubedft3. If material for the bott

Archy [21]

Answer:

Therefore the dimensions of the box is 7 ft by 7 ft by 4 ft.

Therefore the minimum cost to manufacture the box is $12936.

Step-by-step explanation:

Given the volume of the open box is 196 cube ft.

Let the one side of the base of the box be x.

Since the base of the box is square in shape.

The other side of the base is also x.

The area of the base of the box = x² square ft

Let the height of the box be h.

The volume of the box is = Area of the base× height

=(x²×h) cube ft.

=x²h cube ft.

According to the problem,

x²h=196

$\Rightarrow h=\frac{196}{x^2}$

The material cost for the bottom is $88 per square ft and the material cost for the sides $77 per square ft.

The material cost for the bottom of the box = $(88×x²)

=$88x²

The area sides = 2(length+width)height

=2(x+x)h

=4xh square ft.

The material cost for the sides of the box =$(77×4xh)

=$308 xh

Total cost to make the box is =$(88x²+308 xh)

∴C=88x²+308 xh [ C is in dollar]

Now putting $h=\frac{196}{x^2}$

$C=88x^2+308x\times \frac{196}{x^2}$

$\Rightarrow C=88x^2+ \frac{60368}{x}$

Differentiating with respect to x

$C'=176x- \frac{60368}{x^2}$

Again differentiating with respect to x

$C''=176+ \frac{120736}{x^3}$

Now to find the minimum cost, we set C'=0

$\therefore 176x- \frac{60368}{x^2}=0$

$\Rightarrow 176x= \frac{60368}{x^2}$

$\Rightarrow x^3= \frac{60368}{176}$

$\Rightarrow x^3=343$

$\Rightarrow x=7$

Now, $C''|_{x=7}=176+ \frac{120736}{7^3}>0$

Therefore at x=7, the manufacturing cost will be minimum.

The height of the box is $h=\frac{196}{7^2}$ = 4ft

Therefore the dimensions of the box is 7 ft by 7 ft by 4 ft.

The manufacturing cost is $C=88.7^2+ \frac{60368}{7}$ [ putting x=7]

=$12936

Therefore the minimum cost to manufacture the box is $12936.

4 0

3 years ago

Graph the system. Use the graph to approximate the solution of the equation<br> log95 = 7 – 3x.

Jet001 [13]

Answer:

2.09

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers