URGENT HELP PLEASE!!!! 20 points!

The spherical container has a radius of 21 cm. What is the approximate volume of the container? Use 3.14 to approximate pi. Round to the nearest hundredth if necessary. Enter your answer in the box. cm³

The average rate of change over the entire slide is -0.05.

The average rate of change from x = 0 to x = 15 is calculated by finding the slope of the secant line that intersects the graph of the function at x = 0 and x = 15.

The slope of the secant line is:

m = ([tex]y_2[/tex] - [tex]y_1[/tex])/([tex]x_2[/tex] - [tex]x_1[/tex])

= (-2 - 15)/(15 - 0)

= -17/15

= -1.133

The average rate of change from x = 0 to x = 20 is calculated by finding the slope of the secant line that intersects the graph of the function at x = 0 and x = 20.

The slope of the secant line is:

m = ([tex]y_2[/tex] - [tex]y_1[/tex])/([tex]x_2[/tex] - [tex]x_1[/tex])

= (2 - 15)/(20 - 0)

= -13/20

= -0.65

The average rate of change from x = 0 to x = 20 is smaller than the average rate of change from x = 0 to x = 15.

This is because the slope of the secant line is getting closer to 0 as the interval gets larger.

If the height of the slide is 2 feet when x = 20, then the average rate of change over the entire slide is:

m = ([tex]y_2[/tex] - [tex]y_1[/tex])/([tex]x_2[/tex] - [tex]x_1[/tex])

= (2 - 1)/(20 - 0)

= -1/20

= -0.05

The average rate of change over the entire slide is also negative, but it is much smaller than the average rate of change from x = 0 to x = 15.

This is because the slope of the secant line is getting closer to 0 as the interval gets larger.

To learn more about average here:

https://brainly.com/question/34817150

#SPJ3

Final answer:

To solve the equation 5/8 m = 25, Gabriel needs to multiply both sides of the equation by the reciprocal of 5/8, which is 8/5, to isolate m on one side. The result after simplification is m = 40.

Explanation:

To solve the equation 5/8 m = 25, Gabriel needs to isolate the variable m on one side of the equation. He should start by multiplying both sides of the equation by the reciprocal of the fraction that is multiplied by m, which is 8/5. Here's the step-by-step process:

Multiply both sides of the equation by 8/5 to cancel out the 5/8 on the left side:

(8/5) × (5/8) m = (8/5) × 25

Simplify the left side by canceling out the common factors in the fraction:

1 m = (8/5) × 25

Next, multiply the number 25 by 8/5 to find the value of m:

m = 25 × (8/5) = 40

Thus, the solution to the equation is m = 40.

Answer:

2.25 meters

Step-by-step explanation:

all you have to do is divide the volume of the container (43.875) by 5 (length) and 3.9 (width) because the formula for the volume of a rectangular prism is V=lwh. So the answer/height of the storage container is 2.25 meters.

Answer:

A. It is linear because it has a constant rate of change.

Step-by-step explanation:

A straight line graph is possible between two variables x and y only if there is a constant rate of change

y = mx+b is the equation of a straight line in general and here we find rate of change of y with respect to x is constant m which does not depend on x or y.

In other words, throughout the domain a straight line has constant slope.

Here we find that the graph given is a straight line.

Hence option A is suitable answer

A. It is linear because it has a constant rate of change.

Answer: [tex]m= 8(20)+10[/tex]

Step-by-step explanation:

Given : The number of markers in each of 8 pack = 20

Then, the number of markers in 8 packs = 8 x 20 = 8(20)

Also, You already had 10 markers.

Then, the total markers you have now =  Number of markers in 8 packs+ 10

= 8(20)+10

If we denote the total number of markers be 'm'.

Then, the required equation will be :-

[tex]m= 8(20)+10[/tex]

Hence, the equation shows how to calculate the total number of markers, m, you have : [tex]m= 8(20)+10[/tex]

Answer:

The record number was 275 tires.

165/x=60/100

165 times 100=16500

16500/60=275

x=275

Step-by-step explanation:

Answer:

B . $ 884.56

Step-by-step explanation:

Since, monthly payment formula of a loan,

[tex]P=\frac{PV(\frac{r}{12})}{1-(1+\frac{r}{12})^{-12t}}[/tex]

Where,

PV = principal value,

r = annual rate of interest,

t = number of years,

Here,

PV = $ 162,000,

r = 5.15% = 0.0515,

t = 30,

Hence, the monthly payment would be,

[tex]P=\frac{162000(\frac{0.0515}{12})}{1-(1+\frac{0.0515}{12})^{-360}}[/tex]

[tex]=\$ 884.562485827[/tex]

[tex]\approx \$ 884.56[/tex]

OPTION B is correct.

Answer:

Step-by-step explanation:

The attachment shows different types of polygons.

Now depending on these we have following five possibilities:

Case 1: Triangle and hexagon

If first polygon is triangle with three angles, the second will have 6 angles and the second polygon will be hexagon.

Case 2: Quadrilateral and heptagon

If first polygon is quadrilateral with 4 angles, the second will have 4+3 =7 angles and the second polygon will be heptagon.

Case 3: Pentagon and Octagon

If first polygon is pentagon with 5 angles, the second will have 5+3=8 angles and the second polygon will be octagon.

Case 4: Hexagon and Nonagon

If first polygon is hexagon with 6 angles, the second will have 6+3=9 angles and the second polygon will be nonagon.

Case 5: Heptagon and Decagon

If first polygon is Heptagon with 7 angles, the second will have 7+3=10 angles and the second polygon will be decagon.

Depend on the possibilities, which figure Ellen is drawing.

A closed, two-dimensional form with straight line segments is called a polygon. It does not have three dimensions. A polygon has flat surfaces throughout. A polygon must have three sides at a minimum. Only at its terminal must each side of a line segment cross another line segment. Depending on a polygon's number of sides.

Given Ellen is drawing two polygons one of the polygons has 3 more angles than the other,

Now, based on these, there are the five options listed below:

Case 1: Hexagon and triangle

If the first polygon is a triangle with three angles, the second polygon will be a hexagon with six angles.

Case 2: Heptagon and quadrilateral

If the first polygon has a quadrilateral shape and four angles, the second polygon will have four plus three more angles, making it a heptagon.

Pentagon and Octagon in Case 3

If the first polygon has a pentagon shape with five angles, the second will have an octagon shape with five plus three equals eight angles.

Hexagon and Nonagon in Case 4

If the first polygon has a hexagon shape and 6 angles, the second will have 6 + 3 = 9 angles and be a nonagon.

Heptagon and Decagon in Case 5

if the initial polygon is a hexagon, then The first polygon has 7 angles, the second has 7+3=10 angles, and the third is a decagon.

Hence the shape of polygon depend on these possibilities.

Learn more about polygon;

https://brainly.com/question/24464711

#SPJ2

Answer:

Option d) [tex](4-x^5)(16+x^{10}+4x^5)[/tex]  

Step-by-step explanation:

We are given the following in the question.

[tex]64-x^{15}[/tex]

We have to factorize the given expression.

Using the algebraic identity:

[tex]a^3 - b^3 = (a-b)(a^2+b^2+ab) = (a-b)^3 +3ab(a-b)[/tex]

[tex]64-x^{15}\\\\(4)^3 - (x^5)^3\\\\(4 - x^5)(4^2 + (x^5)^2 + 4x^5)\\\\(4-x^5)(16+x^{10}+4x^5)[/tex]

Hence, the factors of given expression is given by option d) [tex](4-x^5)(16+x^{10}+4x^5)[/tex]

If a system has exactly one or infinite number of solutions then it will be a consistent system.

So, we can solve the given system of equation to get the answer.

y=4x−4 ................(1)

y=−4x+4...............(2)

After equating both the equations we will get,

4x-4= -4x+4

4x-4+4x=4 (Adding 4x to each sides).

8x-4=4

8x=4+4 (Adding 4 to each sides).

8x=8

8x/8=8/8 ( Dividing each sides by 8).

x=1

Now pluging x=1 in equation (1). So,

y=4x−4

=4(1)-4

=4-4

=0

Hence the solution of the given system is (1, 0) which also means that the two equations is intersecting at a point(1,0).

So, the given system is consistent and coincident.

Answer:

The answer is " Consistent And Independent"

Why? :

When 2 Lines intersect at one point it means it Consistent and Independent

and When the Lines are the same exact thing its Consistent and Dependent

But, when 2 lines don't intersect at all its inconsistent.   :)

I also Took The 5.11 Unit Test :)

Answer:

Right

Step-by-step explanation:

The value of [tex]$\left(5^4\right)^4$[/tex] simplified to [tex]$5^{16}$[/tex], meaning x = 16.

To simplify [tex]$\left(5^4\right)^4$[/tex], we first expand it as [tex]$5^4 \cdot 5^4 \cdot 5^4 \cdot 5^4$[/tex], using four factors of [tex]$5^4$[/tex].

Applying the product of powers rule, we add the exponents together: [tex]$5^{4+4+4+4}$[/tex]. This simplifies to [tex]$5^{16}$[/tex].

In essence, raising a power to another power involves multiplying the exponents.

In this case, we have four factors of [tex]$5^4$[/tex], which means we multiply 4 by 4, resulting in [tex]$5^{16}$[/tex].

So, the value of x in the simplified power [tex]$5^x$[/tex] is 16.

Complete Question:

Simplify this power raised to a power: [tex]$\left(5^4\right)^4$[/tex]

1. Expand using four factors of [tex]$5^4$[/tex] : [tex]5^4 \cdot 5^4 \cdot 5^4 \cdot 5^4[/tex]

2. Apply the product of powers rule: [tex]5^{4+4+4+4}[/tex]

3. Simplify: [tex]5^x[/tex]

What is the value of x in the simplified power?

The surface area of the given three-dimensional figure is 210 square units.

Option A will be the correct answer.

A cuboid is a three-dimensional figure having length, width and height. The surface area of a cuboid can be calculated by adding together the areas of the six faces.

For the given cuboid, length l = 8 , width w = 5 and height h = 5.

Area of Cuboid  =  2 lw + 2 lh + 2 wh

[tex]A = 2\times l\times w + 2 \times l\times h + 2\times w\times h[/tex]

Substituting the values in the above formula, the area will be,

[tex]A = 2 \times 8 \times 5 + 2 \times 8 \times 5 + 2\times 5\times 5[/tex]

[tex]A = 210 \;\rm {units}^2[/tex]

Hence, the surface area of the cuboid is 210 square units.

To know more about the surface area of cuboids, follow the link given below.

https://brainly.com/question/9740924.