The diameter of a spherical basketball is 10 inches. What is the volume of the basketball? Round your answer to the nearest cubic inch.

Answer:

60 hope this helps

Step-by-step explanation:

15 divided by 5 =3

20 multiplied by 3 =60

Answer:

○ \(\displaystyle (x - 4)^2 + (y + 2)^2 = 25\)

Explanation:

Accourding to one of the circle equations, \(\displaystyle (x - h)^2 + (y - k)^2 = r^2,\)the centre of the circle is represented by \(\displaystyle (h, k).\)Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared. Now, in case you did not know how to define the radius, you can choose between either method:

Pythagorean Theorem

\(\displaystyle a^2 + b^2 = c^2 \\ \\ 4^2 + 3^2 = r^2 \hookrightarrow 16 + 9 = r^2 \hookrightarrow \sqrt{25} = \sqrt{r^2} \\ \\ \boxed{5 = r}\)

Sinse we are dealing with length, we only desire the NON-NEGATIVE root.

Distanse Equation

\( \displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d \\ \\ \sqrt{[-7 + 4]^2 + [-2 - 2]^2} = r \hookrightarrow \sqrt{[-3]^2 + [-4]^2} = r \hookrightarrow \sqrt{9 + 16} = r; \sqrt{25} = r \\ \\ \boxed{5 = r}\)

Sinse we are dealing with distanse, we only desire the NON-NEGATIVE root.

I am joyous to assist you at any time.

The number of different collections of 6 books which can be taken on vacation of 11 possible books is 462.

Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.

Here, in the original problem, the number of book selection is6.

Of 11 possible books, one plans to take 6 with on vacation. The number of different collections of 6 books can be taken has to be found out.

Thus, the number of combination to select 6 books collection from 11 is,

\(^{11}C_6=\dfrac{11!}{(11-6)!6!}\\^{11}C_6=\dfrac{11\times10\times9\times8\times7\times6!}{5\times4\times3\times2\times1\times6!}\\^{11}C_6=462\)

Thus, the number of different collections of 6 books which can be taken on vacation of 11 possible books is 462.

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Answer:

5

Step-by-step explanation:

Answer:

C Marie's sample is biased.

Step-by-step explanation:

It is biased because she doesn't know. It is just 1 hour so like there could be like a lot of people at 4-5 and not a lot at 10-11

Hope this helps!

Merry Christmas

Answer:

Give the other person brainliest.

Step-by-step explanation:

The other person is correct.

Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.

Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.

Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.

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Answer:

334 square inches

Step-by-step explanation:

Base terms

Length, l : 11

Width, w : 7

Height, h : 5

S=2(lw+lh+wh)

S= 2(11*7 + 11*5 + 7*5)  

Surface area, SA : 334.00  

Cuboid is a simple figure. It has three dimensions - width, length and height.

S=2(lw+lh+wh)

Answer:

340in squared

Step-by-step explanation: Surface area formula: add areas of all faces.

The value of x in the parallelogram is 112°.

In a parallelogram, adjacent angles are always supplementary. This means that the sum of two adjacent angles in a parallelogram is always 180 degrees.

To understand this concept, let's consider a parallelogram ABCD. The opposite sides of a parallelogram are parallel and equal in length, and the opposite angles are congruent. Adjacent angles are those that share a side. Let's say angle A and angle B are adjacent angles in the parallelogram.

Since opposite angles of a parallelogram are congruent, we have angle A is congruent to angle C, and angle B is congruent to angle D.

Now, let's consider angle A and angle B. The sum of angle A and angle B is equal to the sum of angle C and angle D because opposite angles are congruent.

Therefore, we can conclude that angle A + angle B = angle C + angle D = 180 degrees.

This property holds true for all parallelograms. So, in any parallelogram, the adjacent angles are always supplementary, meaning their sum is 180 degrees.

For the given question, we know x° + 68° = 180°.

Then x° = 180° - 68°

x° = 112°

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Step-by-step explanation:

The average weight of a male African elephant is 15,000 pounds.

To convert pounds to tons, we divide the weight in pounds by 2,000 (the number of pounds in a ton):

15,000 pounds ÷ 2,000 pounds/ton = 7.5 tons

Therefore, the weight of a male African elephant is approximately 7.5 tons.

So the closest answer to this question is "7 tons".

Answer:

7 tons

Step-by-step explanation:

The average weight of a male African elephant is 15,000 pounds. To convert this weight into tons, we need to divide it by 2,000 (since there are 2,000 pounds in a ton).

So, 15,000 ÷ 2,000 = 7.5 tons.

Therefore, the answer is 7 tons (since there are no fractions of tons in the options given).

The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

We want to factor the following polynomial:

18x³ - 51x² + 36x​

We find the Greatest Common Factors of its terms.

Since

3 · 6 = 18

3 · 17 = 51

3 · 12 = 36

we can rewrite the polynomial as:

18x³ - 51x² + 36x​

↓

3 · 6x³ - 3 · 17x² + 3 · 12x​

Then, the common factors are

x and 3

We group those factors:

3 · 6x³ - 3 · 17x² + 3 · 12x​

↓

3x (6x² - 17x + 12​)

Now, we have

3x (6x² - 17x + 12​)

and we want to factorise

6x² - 17x + 12

We want to factor by Grouping

Then, we have to split the middle term -17x, so we can factor it

Since -17x = -8x - 9x

we are going to use it:

6x² - 17x + 12

↓

6x² - 8x - 9x + 12

Now, we group the first two terms together and then the last two terms together and factor by GCF:

6x² - 8x - 9x + 12

↓

(6x² - 8x) + (-9x + 12)

For the first bynomial

Since

2 · 3 = 6

2 · 4 = 8

The first polynomial can be rewritten as:

6x² - 8x = 2 · 3x² - 2 · 4x

It has in common 2 and x, then:

2 · 3x² - 2 · 4x = 2x (3x - 4)

For the second bynomial

Since

-3 · 3 = -9

-3 · (-4) = 12

The second bynomial can be rewritten as:

9x + 12 = -3 · 3x + -3 · (-4)

They have in common -3, then:

-9x + 12 = -3(3x - 4)

Now,we have that

6x² - 8x - 9x + 12

= 2x (3x - 4) - 3(3x - 4)

Then

3x(6x² - 8x - 9x + 12) = 3x[2x (3x - 4) - 3(3x - 4)]

We can see that

2x (3x - 4)

and

- 3(3x - 4)

have in common (3x - 4)

Then

2x (3x - 4) - 3(3x - 4)

= (3x - 4)(2x - 3)

Then, the whole polynomial can be written as

18x³ - 51x² + 36x​

= 3x[2x (3x - 4) - 3(3x - 4)]

= 3x(3x - 4)(2x - 3)

Answer:

$568.75.

Step-by-step explanation:

Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

To calculate the perimeter and area of the square, we can use the formulas:

Perimeter = 4 * side length

Area = side length * side length

Substituting the given side length of 4√5mm into the formulas, we have:

Perimeter = 4 * 4√5mm = 16√5mm

Area = (4√5mm) * (4√5mm) = 16 * 5mm = 80mm²

Therefore, the perimeter of the square is 16√5mm, and the area of the square is 80mm².

Please note that the values are based on the provided side length of 4√5mm. If there are any changes to the side length, the perimeter and area will differ accordingly.

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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

I took the test on plato.

Answer:

Step-by-step explanation:

3x  +  5  +  x  -  25  =  180

4x  -  20  =  180

4x  =  200

x  =  50

Answer:

50 degrees

Step-by-step explanation:

Answer:

∠1= 50

Step-by-step explanation:

The angle is an Alternate Exterior Angle Pair.

So, it is equal to the 50 degree angle.

Answer:

2317.44

Step-by-step explanation:

Solution for What is 408 percent of 568:

408 percent *568 =

(408:100)*568 =

(408*568):100 =

231744:100 = 2317.44

Answer:

2317.44

Step-by-step explanation:

The length of the side of the square in simplest form is 2sqrt(14).

The area of a square is given by the formula \(A = s^2\), where A is the area and s is the length of a side.

We are given that the area of the square is 56 units, so we can set up the equation:

\(56 = s^2\)

To solve for s, we can take the square root of both sides of the equation:

sqrt(56) = \(sqrt(s^2)\)

We can simplify the square root of 56 by factoring it:

sqrt(56) = sqrt(222*7) = 2sqrt(14)

So, we have:

2sqrt(14) = s

This is an improper fraction because the numerator is larger than the denominator. Therefore, the length of the side of the square in simplest form is 2sqrt(14).

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========================================================

Explanation:

The observations are in ascending order, which means the set is sorted from smallest to largest.

The X is at the right-most endpoint, so X is the largest value (aka the max).

The min is 33, so,

max - min = range

X - 33 = 58

X = 58+33

X = 91 is the max

Answer:

Step-by-step explanation:

The range of the data is the highest value - the lowest value.

The lowest in the list is 33 so the highest must be 33 + 58

= 91.

Verify each option

First option -----> not true

Second option ----> is true

third ----> not true

fourth -----> not true

therefore

answer is option 2

Answer:

-1/3

Step-by-step explanation:

Y2-Y1 plug in 5-4. 1

---------- ------- = --

X2-X1 plug in 0-3 -3

Answer:

Step-by-step explanation:

A y = -3.6x + 12.8

The line of best fit is,

⇒ y = - 3.6x + 12.8

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, Given that;

⇒ y = ax + b.

And, the best fitting line has values of a = - 3.6 and b = 12.8.

Hence, All you need do is put that into the general equation and try different values for it.

So you have y = - 3.6 x + 12.8

Now Let's run a couple of numbers.

The table shows 1 and 9 for the first entry. This means when x = 1, y should come pretty close to nine.

y = - 3.6(1) + 12.8

y = 9.2

Which is not a bad result for x = 1

You might want to check to see if anything else comes closer in your choices. If it does, then you have to try other points.

C

-0.998 = -3.6(1) + 12.8

This answer cannot work. We've already shown that x =1 will leave us close to 9  not -998

So, C is incorrect.

B

y = 12.8x - 3.6

Let x = 1

y = 12.8(1) - 3.6

y = 9.2 is right by coincidence. We must try another value. The hardest one is going to be 5 and - 5

y= 12.8*5 - 3.6

y = 64 - 3.6 which is no where's near - 5.

So B is wrong.

A

y = -0.998(1) + 12.8 Does this give 9 or anywhere near it? 11.802 You might argue that that is not a bad result. So let's try another pair.

x = 3. y should come to somewhere near 2.

y = -0.998 * 3 + 12.8 which comes to roughly nine. You can check this out.

It is not close enough to 2 to be acceptable.

Thus, The correct option is,

⇒ y = - 3.6x + 12.8

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Answer:

D. Removeable

Step-by-step explanation:

ed2021

Answer:

It's actually C, infinite!

Step-by-step explanation:

If a triangle has one side length of 9cm and another side of .12cm . The 3 possible answers for the third side​ are:  17, 20, and 21.

To determine the possible lengths for the third side of the triangle, we can use the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the third side.

Using this theorem, the possible lengths for the third side can be found by checking which of the following inequalities hold:

   9 + 12 > x

   9 + x > 12

   12 + x > 9

Simplifying these inequalities, we get:

   x > -3 (always true)

   x > -9 (always true)

   x > -3 (always true)

Therefore, the possible lengths for the third side of the triangle must satisfy x > -9, which eliminates the answer 3 (which is less than 9 - 12 = -3).

The possible lengths for the third side are:

   9 + 12 > x, so x < 21

   9 + x > 12, so x > -3

   12 + x > 9, so x > -3

Therefore, the possible lengths for the third side of the triangle are:

   17 (9 + 12 = 21, which is greater than 17)

   20 (9 + 12 = 21, which is greater than 20)

   21 (9 + 12 = 21, which is equal to 21)

So, the three possible lengths for the third side of the triangle are 17, 20, and 21.

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The complete question is:

A triangle has one side length of 9

centimeters (cm) and another side length of 12

cm.

Which answers are possible lengths for the third side?

Select three that apply

17

22

9

21

20

3

Answer:

1/64

Step-by-step explanation:

When you simplify this exponent, you get:

1/8x8

1/64

1/64 is your answer

Hope this helps!

Answer:

1) 30 pounds is the weight of the bag all together

2) science book is the heaviest book

Step-by-step explanation:

bag=4 pounds

library book=2 pounds

maths book=2×4=8 pounds

science book=8×2=16 pounds

4+2+8+16=30 pounds all together

heaviest book= science book (16 pounds)

Answer:

\(\frac{2}{\frac{1}{24} }\)

Step-by-step explanation:

2/x = 48

48x = 2

x = (2)/ (1/24)

\(\frac{2}{\frac{1}{24} }\) = 48