A game company asked people at the mall which game console they owned. They recorded the results in the bar graph below. How many more people owned a Xbox 360 than owned a Gameboy?

Answer: 162

Step-by-step explanation:

The lateral area and surface area of the cone will be  264π square feet and 385π square feet, respectively.

Given that:

Radius, r = 11 feet

Slant height, l = 24 feet

In this case, the slant height is 24 ft and the radius is 11 ft. Therefore, the lateral area is:

Lateral Area = πrl = π x 11 x 24 = 264π square feet

In this case, the radius is 11 ft. Therefore, the area of the base is:

Area of Base = π x 11² = 121π square feet

Now we can find the total surface area by adding the lateral area to the area of the base:

Surface Area = Lateral Area + Area of Base

Surface Area = 264π + 121π

Surface Area = 385π square feet

The lateral area and surface area of the cone will be  264π square feet and 385π square feet, respectively.

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The equation of a line in slope intercept form with slope (-2/3) and point (10,-5) is y = (-2/3) - 1.

The slope is the rate of change of y-axis with respect to x-axis.

We know that equation of a line in slope intercept form is y = mx + b.

To find the y-intercept b we will substitute the value of m and point (x,y).

∴ The equation of the line in slope intercept form with slope -2/5 and points (10,-5) is,

-5 = -(2/5)×10 + b.

-5 = -4 + b.

b = -1.

So the given equation of the line is y = (-2/3)x - 1.

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Answer:

G(-4) = -7

Step-by-step explanation:

G(x)= -x^2 + 9

x= -4

G(-4)= - (-4)^2 + 9

       = -16 +9

       = -7

Answer: -2 1/8

Step-by-step explanation:

3 1/2 = 3 4/8

5 5/8 - 3 4/8 = 2 1/8

Add the negative sign back to get -2 1/8

Answer:

\(2x^2 + x - 3\)

Step-by-step explanation:

We want to divide \(2x^4 - 3x^3 - 3x^2 + 7x - 3\) by \(x^2 - 2x + 1\)

To do the long division, divide each term by \(x^2\) and then subtract the product of the result and \(x^2 - 2x + 1\)  from the remaining part of the equation.

Whatever term/value you obtain from each step of the division is a part of the quotient.

When you reach 0, you have gotten to the end of the division.

Check the steps carefully and follow them below:

Step 1:

Divide \(2x^4\) by \(x^2\). You get \(2x^2\).

Step 2

Multiply \(2x^2\) by  \(x^2 - 2x + 1\)  and subtract from \(2x^4 - 3x^3 - 3x^2 + 7x - 3\):

 \(2x^4 - 3x^3 - 3x^2 + 7x - 3 - (2x^4 - 4x^3 + 2x^2)\) = \(x^3 - 5x^2 + 7x - 3\)

Step 3

Divide \(x^3\) by \(x^2\). You get x.

Step 4

Multiply x by  \(x^2 - 2x + 1\)  and subtract from  \(x^3 - 5x^2 + 7x - 3\):

\(x^3 - 5x^2 + 7x - 3 - (x^3 - 2x^2 + x) = -3x^2 +6x - 3\)

Step 5

Divide \(-3x^2\) by \(x^2\). You get -3

Step 6

Multiply -3 by \(x^2 - 2x + 1\)  and subtract from \(-3x^2 +6x - 3\):

\(-3x^2 +6x - 3 - (-3x^2 + 6x -3) = 0\)

From the three divisions, we got \(2x^2\), x and -3.

Therefore, the quotient is \(2x^2 + x - 3\).

Answer:

Volume of landfill space saved by recycling paper products in 2010 in the United States = 175.56 million m³ of land space

Note: The Table in the attachment below Shows The Total MSW (in Metric Tons) And Percent MSW Recycled Over Time In The United States.

Step-by-step explanation:

Step 1: Determining the amount in metric tons of paper products recycled

In the year 2010, a total of 76 million metric tons of MSW was recycled.

Recycling of paper products accounted for 33% of the total MSW recycled in 2010.

The amount of paper products recycled in millions of metric ton = 0.33 × 76 million  = 25.08 million metric tons of paper products.

Step 2: Determining the volume of landfill space saved in 2010 by recycling paper products

7m³ of landfill space is saved for each metric ton of paper products.

Volume of landfill space saved by recycling paper products in 2010 in the United States = total amount of paper products recycled  × 7 m³/metric ton

Volume of landfill space saved = 25.08 million metric tons  × 7  m³/metric ton

Volume of landfill space saved = 175.56 million m³ of land space

Therefore, volume of landfill space saved by recycling paper products in 2010 in the United States = 175.56 million m³ of land space

Using proportions, it is found that about 21 cubic metres of landfill space was saved by recycling paper products in 2010 in the United States.

A proportion is a fraction of a total amount.

In this problem, 33% of the total amount is equivalent to 7 cubic metres, hence:

0.33t = 7

t = 7/0.33

t = 21

21 cubic metres of landfill space was saved by recycling paper products in 2010 in the United States.

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Answer:

13) C= 95°, a= 0.157, c= 9.86

14) C= 165°, a= 3.35, b= 1.68

15) A= 40°, a= 2, c= 3.06

16) C= 50°, a= 11.8, c= 9.19

Step-by-step explanation:

Please see the attached pictures for the full solution.

Note:

sine rule

\( \textcolor{steelblue}{\boxed{{\frac{ \sin A}{a} = \frac{ \sin B }{b} = \frac{ \sin C}{c} }}}\)

∠ sum of ∆

The sum of the angles in a triangle is 180°.

Answer:

Step-by-step explanation:

amplitude of oscillation a = 12 / 2 = 6 inches.

time period T = 2 s

b = angular frequency = 2π / T

= 2π / 2

= π

so putting the values in the equation

d = a cos ( b t )

d = 6 cos ( π t )

Answer:

there are two more questions and the answers are 0.5 is the least positive amount of the pendulum and 4.243=y when x=4.25

Step-by-step explanation:

t = total amount of lbs of Tropical dried fruit

m = total amount of lbs of mixed bag

\(\begin{array}{lcccl} &\stackrel{fruit}{lbs}&\stackrel{per~lb}{price}&\stackrel{total}{price}\\ \cline{2-4}&\\ \textit{tropical fruit}&t&1.50&1.5t\\ \textit{regular fruit}&50&0.90&45\\ \cline{2-4}&\\ \textit{mix bag}&m&1.30&1.3m \end{array}~\hfill \begin{cases} t+50=m\\ 1.5t+45=1.3m \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{substituting on the 1st equation}}{1.5t+45=1.3\stackrel{m}{(t+50)}}\implies 1.5t+45=1.3t+65\implies 0.2t+45=65 \\\\\\ 0.2t=20\implies t=\cfrac{20}{0.2}\implies \boxed{t=100}\)

Answer:

I think that's 11,8

Step-by-step explanation:

Hope its right

Answer:

Step-by-step explanation:

Identify the variable in each term. If two or more terms have the same variable, they are "like" terms.*

1) Like terms are found in selection b. They are 7r and r.

__

2) The variables in selection d are u and y, not the same. Only unlike terms are found in selection d. (Selection b has variables x, b, x. The x-terms are like terms and can be combined.)

_____

* Strictly speaking, it is the constellation of variables you want to match. For example, terms 3xy, 4xy², and -5x²y all have variables x and y, but the powers of those variables don't match from term to term. For terms to be "like", the variables and their powers need to match.

3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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Answer:

f(3) = -10

g(-5) = 65

Step-by-step explanation:

Hi there!

\(f(x)=-3x-1\)

To find f(3), replace x with 3:

\(f(3)=-3(3)-1\\f(3)=-9-1\\f(3)=-10\)

\(g(x)=2x^2-3x\)

To find g(-5), replace x with -5:

\(g(-5)=2(-5)^2-3(-5)\\g(-5)=2(25)+15\\g(-5)=50+15\\g(-5)=65\)

I hope this helps!

Answer: 834.142857143

Step-by-step explanation: I did it on paper this is like 3rd grade math.

An equation for a LINE that can be written in standard form, slope-intercept form, or point-slope form is Linear Equation.

Linear equations are useful in research and in many daily applications.

They let scientists to define physical relationships between two variables, make predictions, compute rates, and perform conversions, among other things.

Graphing linear equations aids in identifying trends.

Linear equations are particularly useful in mathematics because they may be used to simulate any real-world phenomenon in which one variable changes at a constant pace in relation to another variable.

As a result, they are extremely valuable for modeling, forecasting, and assessing real-world applications.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

an equation for a LINE that can be written in standard form, slope-intercept form, or point-slope form is ________ ?

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

The bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.

To determine whether the equipment changes made by the bakery have resulted in more uniform-sized muffins, they should use the measure of variability. The most suitable measure, in this case, would be the range.

The range is calculated by finding the difference between the maximum and minimum values in a data set. In this scenario, the bakery made 25 muffins and measured each one. By finding the range of the measurements, they can assess the spread of sizes among the muffins.

Here's how they can use the range to evaluate the effectiveness of the equipment changes:

Collect the measurements of all 25 muffins.

Determine the maximum and minimum measurements.

Calculate the range by subtracting the minimum measurement from the maximum measurement.

If the range of the muffin sizes is smaller compared to the range before the equipment changes, it suggests that the modifications have resulted in more uniform-sized muffins. Conversely, if the range remains similar or larger, it indicates that the changes might not have effectively improved the uniformity of muffin sizes.

Therefore, the bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.

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Answer:

12

Step-by-step explanation:

Arranging in ascending order -> 9, 10, 12, 12, 13, 15, 16

n = 7

Median = value of ((n + 1) / 2) th term

             = value of (7+1) / 2 th term

             = value of 4 th term

             = 12

Hope it helps :)

Both g(x) = 5 - x² and h(x) = \(5 - e^(6-^x^)\)have the same range as f(x) = -2√(x) - 3 + 8, which is (-∞, 5].

To determine which function has the same range as f(x) = -2√(x) - 3 + 8, we need to first find the range of f(x).

The square root function √(x) takes non-negative values as input and gives non-negative outputs, so the expression -2√(x) will always be non-positive. Therefore, the range of f(x) will be all real numbers less than or equal to -3 + 8, which is 5.

In other words, the range of f(x) is (-∞, 5].

So, we need to find a function whose range is also (-∞, 5]. One possible function is g(x) = 5 - x². We can see that when x is zero, g(x) is at its maximum value of 5, and as we increase or decrease x, g(x) will decrease, eventually approaching negative infinity.

Another possible function is h(x) = 5 - e^(-x). When x is negative infinity, e^(-x) is approaching positive infinity, so h(x) is approaching 0. As we increase x, e^(-x) is approaching zero, so h(x) is approaching 5.

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Given an event, the probability that an event occur is

Answer:

1. q = p - mn

2. c = -6

3. 10

Step-by-step explanation:

1.

\(mn=p-q\\\textsf{add q to both sides}\implies mn + q = p\\\textsf{subtract mn from both sides}\implies q = p-mn\)

2.

\(5c+23=c-1\\\textsf{subtract 23 from both sides}\implies5c=c-24\\\textsf{subtract c from both sides}\implies4c=-24\\\textsf{divide both sides by 4}\implies c=-6\)

3.

\(4f^2-g\\\implies 4(2)^2-3=13\\\\3f^2-3g\\\implies 3(2)^2-(3 \times3)=3\\\\13-3=10\)

Answer: 13

Step-by-step explanation:

4x+3y=-5 solve x :    

4x = -3y + -5           | -3y

1x = -0.75y + -1.25  | : 4

-3x + 7y = 13 solve x :

-3x + 7y = 13              | -7y

-3x = -7y = 13             | : (-3)

Equalization Method Solution: -0.75y+-1.25=2.333y+-4.333

-0, 75y - 1,25 = 2,333y - 4, 333 solve y:

-0, 75y - 1,25 = 2,333y -4, 333    | -2,333y

-3, 083y - 1,25 = -4,333               | + 1, 25

-3. 083y = -3,088                         | : (-3, 083)

y = 1

Plug y = 1 into the equation 4x + 3y = -5 :

4x + 3 · 1           | Multiply 3 with 1

4x + 3 = -5        | -3

4x = -8              | : 4

x = -2

So the solution is:

y = 1, x = -2

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Answer:

86/3

Step-by-step explanation:

28.6

Answer:

59.5

Step-by-step explanation:

He is asking for angle A

cosA = adjacent/hypotenuse

= 33/65

we'll do shift cos(33/65) = 59.48 to bring A

Answer:

-6 or x = -6

Step-by-step explanation:

To solve -5x = 30, divide each side by -5.

-5x / -5 = x

30 / -5 = -6

x = -6

(negative times a negative = a positive)

Answer:

ffsssbbbbbbbbbbbbbbbbbbbbbbbbbb

Step-by-step explanation:

Answer: Hello i am here to anwser your 2 part queston! <3

Step-by-step explanation:

the linear functon is  Y= -2.5x+170

after 5 weeks he will have lost 157.5 lbs!!

The linear function in the form y = mx + b to model Jose's weight loss each week is → y = - 2.5x + 170.

Given is that Jose weighed himself on Monday and he weighed 170 pounds. Two weeks later he weighed 165 pounds.

The linear function is given by → y = ax + b. We can write the slope -

{a} = (165 - 170)/(2 - 0)

{a} = - 5/ 2

{a} = - 2.5

The linear function will become -

y = -2.5x + b

At [x] = 0, the value of [y] is 170.

So, the linear function can be written as -

y = - 2.5x + 170

Therefore, the linear function in the form y = mx + b to model Jose's weight loss each week is → y = - 2.5x + 170.

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