Simplify and Show all of your work please!

Answer:

1291962 golf balls

Step-by-step explanation:

golf ball: 4/3П(0.8)^3=2.14 in^3

storage unit: 120(240)(96)=2764800 in^3

2764800/2.14=1291962 golf balls

Number of golf balls that will fit inside of a storage will be 1291962 golf balls

diameter of golf ball = 1.6 in³

radius will be = 0.8 in³  

it is known that 1 ft = 12 in

What is volume ?

Volume is a three dimensional space occupy by the body of particular shape  such as here :

volume (V) of sphere golf ball with radius r : [tex]\frac{4}{3}\pi r^{3}[/tex]

[tex]\begin{aligned}V&= \frac{4}{3}\pi r^{3} \\&=\frac{4}{3}\pi (.8)^{3}\\&\approx 2.14 \text{\:in}^{3}\end{aligned}[/tex]

Volume of rectangle ([tex]V_{1}[/tex]) with length (l= 10x12 in.), breadth (b =20x12 in.) and height (h = 8x12 in.) : lbh

[tex]\begin{aligned}V_{1}&=lbh\\&=120\cdot240\cdot96\\&=2764800 \text{\:in}^3\end{aligned}[/tex]

therefore, number of golf balls will fit inside of a rectangular storage

will be : [tex]\frac{V_{1}}{V}[/tex]

[tex]\begin{aligned}\text{no. of golf ball}&= \frac{V_{1}}{V}\\&=\frac{2764800 \text{\:in}^3}{2.14}\\&\approx 1291962\end{aligned}[/tex]

number of golf balls will be 1291962.

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Answer: C. The data do not provide sufficient evidence to reject H0; thus, we cannot conclude that the mean point spread fo home games is higher than that of away games.

Step-by-step explanation: In Hypothesis Testing using p-value, after stating the null an alternative hypothesis, you have to compare p-value with level of significance, also known as α. If p-value is less than α, reject null hypothesis and accept alternative. If p-value is bigger, we would fail to reject null hypothesis and not accept the alternative.

In the above testing, P-value is 0.4351. Level of significance is, generally, 0.05. Comparing them, p-value is bigger than α. What it means is there is not enough evidence to support null hypothesis and, consequently, we can't conclude the difference in mean point spread of home games is higher than of the away games.

Answer:

So the breadth of the rectangle is y= 3.39 inches

And the length is = x= 4y= 4* 3.39= 13.56 inches

Step-by-step explanation:

Let the length of the rectangle be given by x and the breadth be defined by y.

Then according to the area of rectangle

Area= Length * breadth

But length is 4 times its width so x= 4y  

Therefore putting the values

Area= Length * breadth

46= x*y

46= 4y*y

46/4= y²

or

y ²= 11.5

Now taking the square root of both sides we get

y= √11.5=3.39116 inches

So the breadth of the rectangle is y= 3.39 inches

And the length is = x= 4y= 4* 3.39= 13.56 inches

Answer:

AC = 22

Step-by-step explanation:

Given that B is the midpoint of AC , then AB = BC , that is

2x + 1 = 5x - 14 ( subtract 2x from both sides )

1 = 3x - 14 ( add 14 to both sides )

15 = 3x ( divide both sides by 3 )

5 = x

Thus

AC = AB + BC = 2x + 1 + 5x - 14 = 7x - 13 = 7(5) - 13 = 35 - 13 = 22

Answer:

Step-by-step explanation:

Lets illustrate one method by an example:

Find the square root of  12:

The 2 perfect squares around 12 are 3^2 and 4^2 so the square root of 12 is going to be between 3 and 4.

We might predict it to be 3.5

If we square 3.5 we get 12.25 so we are pretty close.

It is less than 3.5 so we might try 3.4 .

Working 3.4^2 out we get  11.56  so we know the square root is between 3.4 and 3.5  Since 12.25 is closer to 12 than 11.56, the square root is closer to 3.5 than 3.4 so we might try 3.46.

This is called the method of trial and improvement and requires you to do long multiplications.

Answer:

A. 19.1

the total measure of a triangle is 180°

118.6+42.3+x=180

160.9+x=180

x=180-160.9

x=19.1°

Answer:

C

Step-by-step explanation:

So we have the rational expression:

[tex]\frac{x^2-11x+30}{x^2-x-30}[/tex]

We can factor the numerator and the denominator:

Numerator:

[tex]x^2-11x+30[/tex]

Factor:

[tex](x-5)(x-6)[/tex]

Denominator:

[tex]x^2-x-30[/tex]

Factor:

[tex](x-6)(x+5)[/tex]

Substitute:

[tex]\frac{x^2-11x+30}{x^2-x-30}\\=\frac{(x-6)(x-5)}{(x-6)(x+5)}[/tex]

We can cancel out the (x-6). Thus:

[tex]=\frac{x-5}{x+5}[/tex]

Our answer is C.

Answer:

1/4

Step-by-step explanation:

-1/2(-5/6 +1/3)

PEMDAS

parentheses first

(-5/6 +1/3)

Get a common denominator

-5/6 + 1/3 *2/2

-5/6 + 2/6 = -3/6 = -1/2

Substitute this back in

-1/2 ( -1/2)

Multiply

1/4

Answer:

The additive inverse of −5 is +5, so 18 − (−5) = 23. The additive inverse of −5 is −5, so 18 − (−5) = 23. The additive inverse of −5 is −5, so 18 − (−5) = 13.

Answer:

"At least" implies "greater or equal to".

Step-by-step explanation:

[tex]-\frac{7}{10} \geq (2k -4)\\[/tex]

The value of the variable k is greater than or equal to 33 / 20.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

-7/10 is at least twice a number k minus 4. Then the inequality is given as,

- 7/10 ≥ 2k - 4

Simplify the inequality, then the value of the variable k will be

- 7 / 10 ≥ 2k - 4

4 - 7/10 ≥ 2k

33 / 10 ≥ 2k

33 / 20 ≥ k

The value of the variable k is greater than or equal to 33 / 20.

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Answer:

x = 5°

Step-by-step explanation:

We know that in a triangle, the measure of an exterior angle is equal to the sum of its two remote interior angles, therefore:

7x + 4 + 61 = 20x

7x + 65 = 20x

13x = 65

x = 5°

Answer:

Solution given:

61°+(7x+4)°=20x [ exterior angle is equal to the sum of two opposite interior angle]

65+7x=20x

65=20x-7x

13x=65°

x=[tex] \frac{65}{13} [/tex]=5°

value of x=5°

Answer:

2x^3+x^2-7x+3

Step-by-step explanation:

To do this you have to multiply the first term in the first parenthesis so you would multiply 2x by x^2 x and -3 so you get 2x^3+2x^2-6x  for the first part and then you would multiply -1 by the terms again so you would get -x^2-x+3 so you would get 2x^3+2x^2-6x-x^2-x+3 then you would add add teh like terms together so you get 2x^3+x^2-7x+3 as the final answer

Answer:

It is irrational because there isn’t any repeating parts.

Answer: 7%

Step-by-step explanation:

Given: Initial jobs = 428.5 thousand

Average rate of declining of jobs  from 2010 to 2020 =  3 thousand jobs per year

From 2010 to 2020 , there are 10 years.

Total jobs declines till 2020 = 10 x (3 thousand)

= 30 thousand  (Change in jobs)

Now, utilities percent change for 2010 to 2020​ : [tex]\dfrac{change \ in \ job\ numbers}{Initial\ jobs}\times 100[/tex]

[tex]=\dfrac{30}{428.5}\times100\\\\\approx7.00\%[/tex]

Utilities percent change for 2010 to 2020 = 7 %

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation: Let the unknown no be x

1.

[tex]\frac{1}{3}\times x +27\\\\\frac{1}{3} x +27[/tex]

2.

[tex]x^2 \times 4\\\\= 4x^2[/tex]

3. The sum of the product and of 5 and a cubed number and 9

Answer:

140

Step-by-step explanation:

A=1 B=2 C=3 D=4

4 x 5= 20

20 x 12=240

240 - 100=140

Answer: 140

Answer:

140

Step-by-step explanation:

Answer:

Random sample

Step-by-step explanation:

In statistics, a sample randomly taken from an investigated population, usually known as a random sample. To avoid having bais from our response and for it to have the best chance of it being indicative of the entire population, our sample must be random. This random sample chosen must contain subjects related to the data in the population we what to obtain a result from.

Answer:

width are 33 dimensions

Answer:

21

Step-by-step explanation:

8x+y, when x=2 and y=5,

then 8*2+5. Because the 2 is right next to the 8, it isn't '82', but '8*2'

According to  PEMDAS, multiplication is done first, so

8*2= 16,

16+5, which is 16+5= 21

Answer:

y = 34

Step-by-step explanation:

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

Remember to follow PEMDAS. First, multiply -6 with 4:

-6 * 4 = -24

-24 + y = 10

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. Add 24 to both sides:

-24 (+24) + y = 10 (+24)

y = 10 + 24

y = 34

y = 34 is your answer.

~

Answer:

Step-by-step explanation:

[tex]4\left(-6\right)+y=10\\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\-4\times\:6+y=10\\\\\mathrm{Multiply\:the\:numbers:}\:4\times\:6=24\\-24+y=10\\\\\mathrm{Add\:}24\mathrm{\:to\:both\:sides}\\-24+y+24=10+24\\\\Simplify \\y=34[/tex]

Answer:

Step-by-step explanation:

Find the diagrammatic representation in the attachment given.

We can see that the diagram is a right angled triangle. To get the angle of elevation, we will use one of the trigonometry identity SOH, CAH, TOA.

Given the adjacent of the triangle to be 2miles (observation spot from the point of launch)and the opposite (side facing the elevation angle) as 2.1miles (the height), we will use TOA.

tan∅ = opposite/adjacent

tan∅ = 2.1/2

tan∅  = 1.05

∅ = tan⁻¹1.05

∅ = 46.4°

Hence the angle of elevation from Kim to the space shuttle, which is at a height of 2.1 miles is approximately 46.4°

Answer:

4.35

Step-by-step explanation:

The fraction is 23/5.

To find the fraction of given problem.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Given that:

Let the two fractions be a/b  and  c/d then:

a/b−c/d=ad−bc/bd

It must have like denominators to subtract fractions.

For = 9 1/10 - 4 3/4= 9 1/10 - 19/4

Taking LCM of 10 and 4 is 20.

=9 1/10 - 19/4

=[tex]\frac{91*2-19*2.5}{20} \\\\\frac{182-47.5}{20} \\\\\frac{92}{20}[/tex]

After cancel out numerator and denominators

=23/5

So, the fraction is 23/5.

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Answer:

Step-by-step explanation:

Hope this helped

Answer:

38°

Step-by-step explanation:

<ABD and <DBC are two interior angles that make up <ABC.

Based on the Angle Addition Theorem, the following equation can be used to find m<DBC:

[tex] (3x + 5) + (6x - 16) = 70 [/tex]

Find x

[tex] 3x + 5 + 6x - 16 = 70 [/tex]

[tex] 9x - 11 = 70 [/tex]

[tex] 9x = 70 + 11 [/tex]

[tex] 9x = 81 [/tex]

[tex]x = \frac{81}{9} [/tex]

[tex] x = 9 [/tex]

We are given that, m<DBC = (6x - 16)°

Plug in the value of x to find the measure

m<DBC = 6(9) - 16 = 54 - 16 = 38°

Answer:

6x−7

Step-by-step explanation:

2x−7+4x

=2x+−7+4x

Combine Like Terms:

=2x+−7+4x

=(2x+4x)+(−7)

=6x+−7

Answer:6x-7

The like terms in the expression are 2x and 4x, so therefore you add them together and you get 6x.

Answer: compare the relative strength of coefficients.

Step-by-step explanation: The Coefficient of determination usually denoted as R^2 is obtained by taking the squared value of the correlation Coefficient (R). It's value ranges from 0 to 1 and the value obtained gives the proportion of variation in the dependent variable which could be attributed to it's correlation or relationship to th independent variable. With a R^2 value close to 1, this means a large portion of Variation in a variable A could be explained due to changes in variable B while a low value signifies a low variance between the variables. Hence, the Coefficient of determination is used in comparing the relative strength of the Coefficients in other to establish whether a weak or strong relationship exist.

Answer:

reciprocal of 5 is 1 /5.......

Answer: The 1st option is correct! :D

Hopefully this will help others as well!

Step-by-step explanation: