1. Simplify. Show all steps for full credit. Circle your final answer. (4 points).
(4+1)^3/ 2+4^2-13

In the given statement is:

Gravitational Force between two bodies at a distance x is given by:-

F = GmM/ x2 ; If a body of mass ' m' is revolving around the body of mass M and it's orbit is stationary then centrifugal force must be equal to the Gravitational Force i.e. Fg = mv2/x therefore FG = Fg i.e. GmM/ x2 =mv2/x; where v is the orbit motion of the orbiting body of mass.

Now, Let us understand the :

In mechanics, gravity, often known as gravitation, is the constant force of attraction occurring on all matter. It plays no part in shaping the interior features of common stuff because it is easily the weakest force known to exist in nature.

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Answer:

65

Step-by-step explanation:

180 -( 95 + 20 )

=180 - 115

= 65

Attribute data is data that logically can be only whole numbers and can be expressed as control charts.

Therefore, attribute data is data that logically can be only whole numbers and can be expressed as control charts.

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Answer:

There are 46,656 cubic inches in a cubic yard.

Explanation:      

for an approximate result, multiply the volume value by 46660

The change of 74.375 bushels is seen with around 86 bushels remaining with farmer for further sale.

We are given the total number of bushels as 160. Now, the average sale on each day is [tex]14\frac{7}{8}[/tex] bushels.

Converting this mixed fraction into fraction -

Average bushels sold everyday = ((8×14)+7)÷8

Performing multiplication and addition to find average bushels sold each day

Average bushels sold everyday = 119÷8

So, at this rate the total number of bushels sold in five days will be = (119÷8)×5

Performing multiplication and division on Right Hand Side of the equation to find the number of bushels

Total number of bushels sold in five days will be = 74.375

So, after five days of sale, the available number of bushels are 160 - 74.375

Change in number of bushels = 85.62

Rounding off to find the exact number of bushels = 86

Hence, the change of 74.375 bushels is seen with around 86 bushels remaining with farmer for further sale.

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Answer:

5:45

...................................

Answer:

the time is 5:45 PM according to that watch

Answer: 17

Explanation

P-5=12

Transpose 5 to the other side

It will become +5 after transposing becuase it was -5 before transposing

P=12+5

P=17

PLSSS MARK AS BRAINLIEST

Answer:

20cm^3

Step-by-step explanation:

Divide 90 by 4.5.

90/4.5 = 20

We can multiply the density ratio by this quotient in order to find the volume of a sample 20x the size of the ratio's sample.

(4.5 x 20)/(1cm^3 x 20)
90g/20cm^3

In this step, let's identify the clues provided in the questions. We have:

Since we know the mass and density of titanium, we can apply the density formula to determine the volume of titanium.

Footnote: I have included the formula in case if you need to know it.

[tex]\boxed{\text{Density} = \frac{\text{Mass (Grams)}}{\text{Volume (cm}^{3} \text{)} }} }[/tex]

To work out the volume of the titanium, we need to substitute the given clues from the question, into the formula. We have:

    [tex]\text{Density} = \dfrac{\text{Mass (Grams)}}{\text{Volume (cm}^{3} \text{)} }} }[/tex]

When we substitute the mass and the density of titanium, we have:

    [tex]4.5 \ \text{g/cm}^{3}} = \dfrac{\text{90 grams}}{\text{Volume (cm}^{3} \text{)} }} }[/tex]

Finally, let's simplify the equation.

    [tex]4.5 \ \text{g/cm}^{3}} = \dfrac{\text{90 grams}}{\text{Volume (cm}^{3} \text{)} }} }[/tex]

    [tex]1 \ \text{g/cm}^{3}} = \dfrac{\text{20 grams}}{\text{Volume (cm}^{3} \text{)} }} }[/tex]

    [tex]\text{Volume (cm}^{3}) = \dfrac{\text{20 grams}}{\text{1 g/cm} ^{3} }[/tex]

    [tex]\text{Volume (cm}^{3}) = \dfrac{\text{20 grams}}{\text{1 g/cm} ^{3} } = \dfrac{20 \ \text{grams} \ \times 1 \ \text{cm}^{3} }{1 \ \text{grams}} = \boxed{20 \ \text{cm}^{3}}[/tex]

Therefore, the volume of titanium is 20 cm³.

Answer:

The answer is option C

Step-by-step explanation:

The roots of the quadratic equations are x= 6 or x= -4

X-6=0 or x+ 4=0

⇒(x-6)(x+4)

F(x)=(x-6)(x+4)

The true population mean is (222.52, 227.48) with a 95% confidence interval.

The critical factor for a 90% confidence interval for the true population mean is given by;

Critical factor = (x-μ)/(s/√n)

where, x = sample mean repair cost

s =  standard deviation of a sample

n = sample of stereos

μ  = critical value

⇒ P(-1.96< (x-μ)/(s/√n) < 1.96) = 0.95

⇒ P(-1.96×(s/√n) < (x-μ) < 1.96×(s/√n)) = 0.95

⇒ P(x - 1.96×(s/√n) < μ < x + 1.96×(s/√n)) = 0.95

95% confidence interval for

⇒ μ = (x - 1.96×(s/√n) , x + 1.96×(s/√n))

Here, x = 225, s  = 8.5, and n = 45

⇒ μ = (225- 1.96×(10.81/√13) , 225+ 1.96×(10.81/√13))

⇒ μ = (222.52, 227.48)

Hence, the true population mean is (222.52, 227.48) with a 95% confidence interval.

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The question seems to be incomplete the correct question would be

Calculate the 95% confidence interval for the true population mean based on a sample with x=225, s=8.5, and n=45.

Answer: Could you possibly make the question telligible via photo or better tables? I'd love to help if you would!

Step-by-step explanation:

Answer:

m = [-9, +infinity]

Step-by-step explanation:

The fraction which is equivalent to this distance in 0.72 mile of science museum from Arias home is 18/25.

Fractions are defined as a numerical value that represents a portion of a whole.

For the given question.

The distance from the science museum to Arias home is 0.72 mile.

As, we have to 2 significant figures on the right of the decimal.

Then, remove the decimal and divide the number by 100.

= 72/100

Now, divide the numerator and denominator by 4 , we get;

= 18/25

Therefore, the distance between the Arias home and the science museum in fraction is written as 18/25.

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The piecewise function that describes what the instructor charges is; f(x) = 500x , 0 < x ≤ 10

400x , 10 < x < 25

350x , x ≥ 25

Let x represent the number of participants and let y represent the charge per participant.

Now, y depends on x, and as such we can say that;

f(x) = y

For, 0 < x ≤ 10, the total charges is 500x,

f(x) = 500x , 0 < x ≤ 10

For 10 < x < 25, total charge is 400x,

f(x) = 400x , 10 < x < 25

For x ≥ 25, the total charge is 350

f(x) = 350x x ≥ 25

Therefore, we can say that;

f(x) = 500x , 0 < x ≤ 10

400x , 10 < x < 25

350x , x ≥ 25

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Write the piecewise function that describes what the instructor charges.

Answer:

75.5 hours

Step-by-step explanation:

Given:

Fly: Richmond --> LA 5.5 hours

Drive: Richmond --> LA 3 days 3 hours 30 minutes

Find:

Drive: Richmond --> LA     in hours

Conversions needed:

1 hour = 60 minutes

1 day = 24 hours

3 days + 3 hours + 30 minutes =

= 3 days × (24 hours/day) + 3 hours + 30 minutes × (1 hour / 60 minutes)

= 72 hours + 3 hours + 0.5 hours

= 75.5 hours

The equation for the parabola Is; y = -²/₅[(x + 5)(x - 1)]

We are given the following;

x-intercepts = (-5,0) and (1,0)

y - intercept = (0, 2)

We know that the x-intercepts are the roots of the quadratic equation while the y-intercept is the value of y when x is zero.

Thus;

(x + 5) and (x - 1) are factors of the given quadratic equation.

f(x) = a(x + 5)(x - 1)

At y-intercept of (0,2), we have;

a(0 + 5)(0 - 1) = 2

a = -2/5

Thus we can write the equation for the parabola as;

y = -²/₅[(x + 5)(x - 1)]

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Answer:/

Step-by-step explanation:

Answer:

y=5x+1.5

Step-by-step explanation:

First, we need to find the slope which is M

put B as 0 for now so we going to plug in 2 numbers on the same horizontal side

I'm going to use (-2 and 11.5) and (4 and -18.5), and now I'm going to do [tex]\frac{y^{2}-y^{1} }{x^{2} -x^{1} } \\[/tex] which -18.5-11.5/4-(-2)

I'm going to get 30/6 which means 5

the slope is 5 now we can find Y-intercept by plugging in a pair of Y and X and plug in M to find B

11.5=(5)-2+b

11.5=10+b now we going to separate b by subtracting 10 from both sides

1.5=b

I need to buy 0.75 gallons of paint 2 coats on the wall.

We are given the area of wall, which is 150 square feet. So, if I need to put double or two coats on the wall, the area of wall to be considered will be : 150 × 2

Area of wall to be considered = 300 square feet

As per the information on paint -

400 square feet is covered by amount of paint = 1 gallon

300 square feet will be covered by amount of paint = (1 ÷ 400) × 300

Amount of paint = 300 ÷ 400

Amount of paint = 0.75 gallons

Therefore, I need to buy 0.75 gallons of paint 2 coats on the wall.

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Answer: 120d + 1500 = 110d + 2500

Solution: The first 1500 + 120d

The second 2500 + 110d

So. 120d + 1500 = 110d +2500

Based on the definition of a function,

1. The relation on the right is not a function.

2. Domain: {20, 70, -60}

Range: {3, -6, 2, 5}

A relation that is defined as a function has each domain value that is assigned to only one possible range value, in such a way that, each of the domain element cannot have two different range element that corresponds to it.

1. The relation on the right has a domain element, -60, which corresponds to two different range element, -6 and 2.

Therefore, the relation on the right is not a function.

2. The domain of the relation that is not a function is: {20, 70, -60}

The range of the relation that is not a function is: {3, -6, 2, 5}

In summary, based on the definition of a function,

1. The relation on the right is not a function.

2. Domain: {20, 70, -60}

Range: {3, -6, 2, 5}

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The two irrational numbers that sum up to 2 are (√5 - 2) and (4 - √5)

Irrational numbers are numbers that cannot be expressed or written as a quotient of integers.

Example of irrational numbers are; √5 , √7, √3, etc

Irrational numbers that can add up to 2

(√5 - 2) + (4 - √5)

expand the bracket

√5-2 + 4-√5

collect like terms

√5 - √5 -2 + 4

-2 + 4

2

Hence, the two irrational numbers that sum up to 2 are (√5 - 2) and (4 - √5)

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The value of the longest of the four side length is 29 inches, if the lengths of the four sides of a quadrilateral (in inches) are consecutive integers.

According to the given question.

The lengths of the four sides of a quadrilateral (in inches) are consecutive integers.

So, let the length of the quadrilateral be x, (x + 1), (x + 2), and (x + 3).

Also, it is given that the perimeter of the quadrilateral is 110 inches.

⇒ x + x+1 + x + 2 + x + 3 = 110

⇒ 4x + 6= 110

⇒ 4x = 110 -6

⇒ 4x = 104

⇒ x = 104/4

⇒ x = 26 inches

Thereofore, the length of the sides of the quadrilaterals is given by

x = 26 inches

x + 1 = 26 + 1 = 27 inches

x + 2 = 26 + 2 = 28 inches

x + 3 = 26 + 3 = 29 inches

Hence, the value of the longest of the four side length is 29 inches, if the lengths of the four sides of a quadrilateral (in inches) are consecutive integers.

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Step-by-step explanation:

A yes

C no

D no

it's only a function if the X coordinate is just being used once.

Answer:

A:no C:yes D :yes

Step-by-step explanation:

A is no because one of the numbers doesn't have a line so they aren't functions

Answer:

D Reflect across the line y = -3

Step-by-step explanation:

The only way you can divide the trapezoid so that there are two congruent parts is when you draw a line on y=-3.

Answer:

x + 2x - 3 = 26

Step-by-step explanation:

Define the variables:

If Maya's car is 3 inches less than 2 times the length of Nate's car, then:

⇒ y = 2x - 3

If the sum of the lengths of both cars is 26 inches, then:

⇒ x + y = 26

Substitute the found expression for y into the equation:

⇒ x + y = 26

⇒ x + (2x - 3) = 26

⇒ x + 2x - 3 = 26

Therefore, the equation to determine the lengths of Nate'a and Maya's cars is:

[tex]\boxed{x + 2x - 3 = 26}[/tex]

Solving the equation for x

⇒ x + 2x - 3 = 26

⇒ 3x - 3 = 26

⇒ 3x - 3 + 3 = 26 + 3

⇒ 3x = 29

⇒ 3x ÷ 3 = 29 ÷ 3

⇒ x = 9.7 in (nearest tenth)

Therefore, Nate's car is 9.7 in (nearest tenth).

To find the length of Maya's car, subtract the length of Nate's car from 26:

⇒ 26 - 9.7 = 16.3 in (nearest tenth).

Therefore, Maya's car is 16.3 in (nearest tenth).

Answer:

d) x + 2x - 3 = 26

Step-by-step explanation:

Given that,

→ Maya's car is 3 inches less than 2 times the length of Nate's car.

→ The sum of the lengths of both cars is 26 inches.

Now the equation will be,

→ x - 3 + 2x = 26

→ x + 2x - 3 = 26

→ 3x = 29

Hence, option (d) is correct answer.

A alvin makes 3,200 and spends 701 each month leaving 2,499.

The average can be calculated by dividing the sum of observations by the number of observations.

Average = Sum of observations/the number of observations

It is Given that alvin has done research and found that he spends an average of $123 on his phone/internet/cable service, $213 on his electric bill, and $270 on his health insurance premium.

Subtract expenditures from earnings;

= 3200 - (178 + 203 + 320)

= 3200 - 701

= 2499

Thus, Grant will have $2,499 after paying these bills each month

Therefore, alvin makes 3,200 and spends 701 each month leaving 2,499.

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Answer: 6y^3 +4x

Step-by-step explanation:

collect like terms

2x + x + x + 2y * 3y *y

so

6y^3 +4x

Answer:

Step-by-step explanation:

2x + x + x + 2y  ( 3 )yy

2x + x + x + 6y 3

2x  +  x  +  x  +  6y3

( 6y3 ) + ( 2x + x + x)

6y3  +  4x