the quotient of a number m and 4

The volume of hemisphere is equal to the volume of the cylinder and the volume is equal to the 9/4× π×x³.

From the given, the volume of the sphere with radius r,

Volume of sphere = (4/3)πr³

The volume of the cylinder with radius x and height h,

Volume of cylinder = π×r²×h

                                = π×x²×h

The ratio of the radius and height (x:h) = (4:9)

the height of the cylinder is h= (9x/4)

Volume of the cylinder = π×x²×(9x/4)

                                      = π×x³×(9/4)

The hemisphere radius, r = (3x/2)

Volume of hemisphere = 1/2 (Volume of sphere)

                                      = 1/2 (4/3 × π×r³)

                                      = 1/2 (4/3 × π ×(3x/2)³) (where r= (3x/2))

                                     = (9/4×π×x³)

Thus, the volume of cylinder and the volume of hemisphere is same and is equal to 9/4×π×x³.

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Answer:

48 reindeer

Step-by-step explanation:

the 5 part of the ratio relates to 60 moose , then

60 ÷ 5 = 12 ← value of 1 part of the ratio

then

4 × 12 = 48 ← number of reindeer

Answer:

\( y = \frac{3}{2}x \)

Step-by-step explanation:

The graph shows there is a proportional relationship between amount of grams of fish (x) and number of calories (y).

A original relationship can be represented by An equation as \( y = kx \), where, k = constant of proportionality (y/x).

The constant of proportionality using any point, let's say (200, 300), would be:

k = y/x = 300/200 = ³/2

Plug in the value of k into \( y = kx \).

Thus, the equation that reflects the relationship would be:

\( y = \frac{3}{2}x \)

The equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories is (2y = 3x) and this can be determined by using the point-slope form of a line.

Given :

The point-slope form can be used to determine the equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories.

The point-slope form is given by the equation:

\(\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}\)     ----- (1)

where \((x_1,y_1)\) and \((x_2,y_2)\) are the points on the line.

Now, put the values of \((x_1,y_1)\) and \((x_2,y_2)\) in the equation (1).

\(\dfrac{y-150}{x-100}=\dfrac{300-150}{200-100}\)

\(2(y-150)=3(x-100)\)

2y - 300 = 3x - 300

2y - 3x = 0

2y = 3x

The equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories is (2y = 3x).

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Graph appears to intersect the X axis in between 20 and 22 and algebraically the estimate of zero is 21.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Given a linear function which represents the profit of Bethany, y after x hours of dog walking.

(a) From the graph, we have to estimate the zero.

The graph seems to intersect the X axis in between 20 and 22, approximately 21.

(b) To solve this algebraically, we have the profit function,

y = 23x - 480

When y = 0,

23x - 480 = 0

23x = 480

x = 20.87 ≈ 21

Hence the graphical method gives the same estimate as the algebraic method.

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Answer and Explanation:

Using trig ratios, we can express the given values of sin u and tan v as shown below

So we can go ahead and label the sides of the triangle as shown below;

We can find the value of u as shown below;

We can find v as shown below;

Answer:

b. 5 meters

Step-by-step explanation:

1 meter = 1000 millimeters

5 meter = 5000 millimeters

Which is longer 5 meters or 400 millimeters?

5000 > 400

So, the answer is b. 5 meters.

The length of the diagonal of a square with a perimeter of 56 is 14√2.

A diagonal is the longest line that divides a plane shape into two equal parts.

To calculate the length of the diagonal of the square, first we need to find the length of the square using the perimeter formula.

Formula:

Where:

From the question,

Given:

Substitute the value into equation 1 and solve for a

Finally to find the length of the diagonal of the square, we use the formula below

Where:

Substitute into equation 2

Hence, the length of the diagonal is 14√2.

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Answer:

qfewwqeffwqfefewqwqreg

Step-by-step explanation:

Answer:

the answer is 9,

Step-by-step explanation:

i looked it up and passed my test with a 100

All 3 angles add up to 180 degrees.

so 40 + 2x + 3x = 180

40 + 5x = 180

5x = 140

x = 28

So angle A = 2x = 2(28) = 56 degrees.

Answer: 56°

Step-by-step explanation:

We know that a triangle's angles add up to 180 degrees. We will create an equation to help us solve for x using this information.

     Given:

           2x + 3x + 40 = 180

     Combine like terms:

           5x + 40 = 180

     Subtract 40 from both sides of the equation:

           5x = 140

     Divide both sides of the equation by 5:

           x = 28

Next, we will substitute this value of x into the expression for ∠A.

     ∠A = 2x = 2(28) = 56°

The range of a set of data is the difference between the highest and lowest values. In this case, the graph shows that the relative humidity changes between 30% and 80% during a 24 hour period in New York City. To find the range, we subtract the lowest value (30%) from the highest value (80%):

Range = 80 - 30 = 50%

So, the range of the relative humidity during this 24 hour period in New York City is 50%.

The range of this set of data is 30 ≤ y ≤ 80.

The correct option is 3.

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

Given:

A meteorologist drew the accompanying graph to show the changes in relative humidity during a 24-hour period in New York City.

The graph is given in the attached image.

The function is not exceeding the value 80.

And more than the value 30.

So, the range is,

= 30 ≤ y ≤ 80.

Therefore, the range is 30 ≤ y ≤ 80.

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Answer:

Let n be that integer

Step-by-step explanation:

n=(12)(52)+5=629

The common factor is x ^ 3

So that gives you x ^ 3 = (4+ 7  / x + 4 / x ^ 2 + 7 / x ^ 3)

Because we therefore simplify x ^ 3 = (4 + (7x ^ 2 / x ^ 3) + (4x / x ^ 3) + 7 / x ^ 3)

Answer:

Yes

Step-by-step explanation:

How many times you do it it would still be 75%

If a rectangular prism has a length of 2 meters, a width of 4 meters, and a height of 2 meters. The volume of the prism is 16 cubic meters.

The volume of a rectangular prism is given by the formula:

Volume = length x width x height

Substituting the given values, we get:

Volume = 2 meters x 4 meters x 2 meters

Simplifying this expression, we get:

Volume = 16 cubic meters

Therefore, the volume of the prism is 16 cubic meters.

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For a curve to be a density curve, it must meet certain conditions such as it should be non-negative, and the area under the curve should equal 1. Furthermore, the curve should be continuous and smooth, and there should be no values outside the range of the data.

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i dont have time to do it right now but here is the percent error equation!

9514 1404 393

Answer:

  y = 3x -8

Step-by-step explanation:

The equation will have the same x- and y-coefficients, but a different constant. That constant can be found by substituting the given point values for x and y.

  y = 3x +b . . . . . . . given equation with new constant 'b'

  10 = 3·6 +b

  b = -8 . . . . . . . . subtract 18

The equation of the line is ...

  y = 3x - 8

Answer:

x≤-2

Step-by-step explanation:

2x+8≤2-x

2x+8+x≤2

3x≤2-8

3x≤-6

then divide by 3 to get your answer

Answer:  31y2 + 6

Step-by-step explanation:

61 y2 + 1 y2 = 62 y2  

7y + -7y = 0

6+6 =12

62y2 + 12  then divide by 2 and it's  31y2 + 6

The amount of the last payment that Elroy will make is $710, which includes the $200 monthly payment and a balance of $510.

The last payment amount is the result of the mathematical operations of subtraction and multiplication.

The first mathematical operation was the subtraction of the down payment from the total cost of the video game system.

Using multiplication, the monthly payments are determined to be $3,400 for 17 months.  This is subtracted from the remaining balance to obtain the last payment amount.

The cost of a custom video game/virtual sound system = $4,210

Down payment = $100

The remaining balance for monthly payment = $4,110 ($4,210 - $100)

Payment period = 18 months (1¹/₂ years)

Monthly payments = $200

Payment for the first 17 months = $3,400 (17 x 200)

Last payment = $710 ($4,110 - $3,400)

Thus, if Elroy makes the minimum monthly payment of $200 till the last payment, then he will pay $710 to settle the account.

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He made a $100 down payment and agreed to pay the entire purchase off in 1 1/2 years The minimum monthly payment is $200 if he makes the minimum monthly payment up until the last payment what will be the amount of his last payment?

Answer:The answer would be 5/10, 7/12, and then 4/6

How: What you will do is fine the common denominator between the fractions, which is 60.

5/10: Multiply numerator and denominator by 6 to get, 30/60.

7/12: Multiply numerator and denominator by 5 to get, 35/60.

4/6: Multiply numerator and denominator by 10 to get, 40/60.

HOPE THIS HELPS YOU! ^_^ ❤️

Step-by-step explanation:

Answer:The answer would be 5/10, 7/12, and then 4/6

How: What you will do is fine the common denominator between the fractions, which is 60.

5/10: Multiply numerator and denominator by 6 to get, 30/60.

7/12: Multiply numerator and denominator by 5 to get, 35/60.

4/6: Multiply numerator and denominator by 10 to get, 40/60.

HOPE THIS HELPS YOU! ^_^❤️❤️❤️

Step-by-step explanation:

The volume of cone is 175 m³

Firstly,

Volume of Pyramid.

The volume (V) of a pyramid is  

V = ⅓Ah

Data:

V = 175m³

Calculation:

175 = ⅓× A× h

Ah = 175*3

Ah = 525m³

Secondly,

The volume (V) of a cone is

V = ⅓Ah

Data:

Ah = 525 m³

Calculation:

V = ⅓ A× h

V = 175 m³

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Answer: 15.55 miles

Step-by-step explanation:

in 3 days, Samuel ran 8+4.25+3.3=15.55 miles

Answer:

12.5miles

Step-by-step explanation:

8+4.25+3.3=12.5miles

The length of the arc of the circle subtended by the angle is option (b) 5π/3 meters.

Arc length is the length of a portion of the circumference of a circle. It is the distance along the curved line that makes up the circle's boundary, measured in linear units

The length of the arc of a circle subtended by a central angle can be found using the formula

arc length = (central angle / 360°) × 2πr

where r is the radius of the circle.

Substituting the given values, we get

arc length = (150° / 360°) × 2π(2 meters)

arc length = (5/12) × 2π(2 meters)

arc length = (5/3)π meters

Therefore, the correct option is (b) (5/3)π meters

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Answer:

164

Step-by-step explanation:

Assuming that you are allowed to use graphing tools:

f(x) is below g(x) for interval [1,3]

g(x) is below f(x) for interval [3,5]

Rules of finding area between two graphs:

\(\int\limits^a_b {|upper - lower|} \, dx\)

For interval [1,3]:

\(\int\limits^3_1 {g(x) - f(x)} \, dx\)

\(\int\limits^3_1 {|(2x^{3} - 10x^{2} +29x+8)-(3x^{3}-3x^{2} -x+8) } \, dx\)

\(\int\limits^3_1 {-x^{3} -7x^{2} +30x} \, dx\)

\(= [-\frac{1}{4}x^{4} - \frac{7}{3}x^{3} + 15x^{2}]^3_1\)

\(= [-\frac{1}{4}3^{4} - \frac{7}{3}3^{3} + 15*3^{2}] - [-\frac{1}{4}1^{4} - \frac{7}{3}1^{3} + 15*1^{2}]\)

\(= -\frac{81}{4} - \frac{189}{3} + 135+\frac{1}{4} + \frac{7}{3}- 15\\\)

\(= \frac{118}{3}\)

For interval [3,5]

\(\int\limits^5_3 {f(x)-g(x)} \, dx\)

\(\int\limits^5_3 {|(3x^{3}-3x^{2} -x+8)-(2x^{3} - 10x^{2} +29x+8)|} \, dx\)

\(\int\limits^5_3 {|x^{3}+7x^{2} -30x|} \, dx\)

\(= [\frac{1}{4}x^{4} +\frac{7}{3}x^{3} - 15x^{2}]^5_3\)

\(= [\frac{1}{4}5^{4} +\frac{7}{3}5^{3} - 15*5^{2}] -[\frac{1}{4}3^{4} +\frac{7}{3}3^{3} - 15*3^{2}]\)

\(= \frac{625}{4} +\frac{875}{3} - 375 -\frac{81}{4}} -\frac{189}{3} + 135\)

\(=\frac{374}{3}\)

Total area

\(= \frac{118}{3} + \frac{374}{3}\\\)

\(= 164\)

Answer:

(2,-1)

Step-by-step explanation:

We can use substitution to solve this system of equations. Since x is already solved for in the second equation, we can substitute 2y + 4 for x in the first equation:

4(2y + 4) + 2y = 6

Simplifying the left side:

8y + 16 + 2y = 6

Combining like terms:

10y + 16 = 6

Subtracting 16 from both sides:

10y = -10

Dividing both sides by 10:

y = -1

Now that we know y, we can use the second equation to find x:

x = 2y + 4

x = 2(-1) + 4

x = 2

Therefore, the solution to the system of equations is (x, y) = (2, -1).

The correct answer choice is (2, -1).