A copy machine makes 32 copies per minute. How long does it take to make 184 copies?

Answer:

12 i don't really know sorry ;-;..................

Step-by-step explanation:

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

Answer:

answer in picture

Step-by-step explanation:

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer: w<4

Step-by-step explanation:

The only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given Range is θ ≈ 19.47 degrees.

a) We are given the equation 8 tan θ = 3 cos θ.

Dividing both sides of the equation by cos θ, we have:

8 tan θ / cos θ = 3

Using the identity tan θ = sin θ / cos θ, we can substitute it into the equation:

8 (sin θ / cos θ) / cos θ = 3

Simplifying further, we get:

8 sin θ / cos^2 θ = 3

Now, multiplying both sides of the equation by cos^2 θ, we have:

8 sin θ = 3 cos^2 θ

Using the identity cos^2 θ = 1 - sin^2 θ, we can substitute it into the equation:

8 sin θ = 3(1 - sin^2 θ)

Expanding the equation, we get:

8 sin θ = 3 - 3 sin^2 θ

Rearranging the terms, we have:

3 sin^2 θ + 8 sin θ - 3 = 0

Therefore, we have successfully shown that the equation can be rewritten in the form 3 sin^2 θ + 8 sin θ - 3 = 0.

b) Now, let's solve the equation 3 sin^2 θ + 8 sin θ - 3 = 0.

To solve the quadratic equation, we can use factoring, quadratic formula, or other appropriate methods.

In this case, the equation factors as:

(3 sin θ - 1)(sin θ + 3) = 0

Setting each factor equal to zero, we have two equations:

3 sin θ - 1 = 0    or    sin θ + 3 = 0

For the first equation, solving for sin θ, we get:

3 sin θ = 1

sin θ = 1/3

Taking the inverse sine (sin^-1) of both sides, we find:

θ = sin^-1(1/3) ≈ 19.47 degrees (to 2 decimal places)

For the second equation, solving for sin θ, we have:

sin θ = -3

Since the range of sine is between -1 and 1, there are no solutions for this equation in the given range (0 ≤ θ ≤ 90 degrees).

Therefore, the only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given range is θ ≈ 19.47 degrees.

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Answer:

169

Step-by-step explanation:

13*13=169

We can split the two 13's up:

(10+3)(10+3)

Multiply 10 with 10, 10 with 3, 3 with 10, and 3 with 3.

Basically, just multiply every single term together.

100+30+30+9

100+69

169

Hope this helps!

Answer:

169

Step-by-step explanation:

Answer:

Easy 10 cookies per box

Step-by-step explanation:

50/5 = 10

A counter-example to the given conclusion is the difference between the numbers 15 and 25, where both are positive, but the difference gives a negative result.

Here we are shown some differences between positive numbers:

7 - 3 = 4

8 - 5 = 3

9 - 8 = 1

And the conclusion is:

"The difference of two positive numbers is always positive".

To find a counter-example we just need to find two positive numbers such that the difference between these two positive numbers gives a negative number as a result.

An example of that can be the numbers 15 and 25, if we take the difference we will get:

15 - 25 = -10

Here we can see that the difference between two positive numbers gives a negative number as an outcome, so this is our counter-example.

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Answer: 22 in

Step-by-step explanation:

w = 3in

area = 24 in²

area = w x h

3 x h = 24

h = 8

premiter = 2w + 2h

2(3) + 2(8) = ?

6 + 16 = ?

22 = ?

premiter = 22

The medians are about the same.

Option C is the correct answer.

The median, in statistical terms, refers to the value in the center of a dataset that has been sorted either in ascending or descending order, and it is a commonly used measure of central tendency. This contrasts with the mean, which calculates the total value of all figures, then divides by the number of figures.

We have,

Movie theater 1.

From the box plot given,

The median is 995.

Movie theater 2.

From the box plot given,

The median is 995.

Thus,

The median in both the box plot is the same.

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The equation z = 30x represents a direct variation the two variables, z and x, are directly proportional to each other. a.

Direct variation can be defined as a relationship between two variables where their values increase or decrease at the same rate.

In the case of the given equation, as x increases, z also increases proportionally.

Similarly, if x decreases, z will also decrease proportionally.

Direct variation can be represented as y = kx, where y and x are the variables, and k is the constant of variation.

In the given equation, we can see that z is the dependent variable, and x is the independent variable.

We can rewrite the equation as z = kx, where k = 30.

To understand how direct variation works, let's consider an example. Suppose we have an equation y = 5x, where y represents the cost of buying x apples at $5 per apple.

Here, the cost of buying apples is directly proportional to the number of apples purchased.

For instance, if we buy 10 apples, the total cost will be 10 × $5 = $50.

Similarly, if we buy 20 apples, the total cost will be 20 × $5 = $100.

Thus, we can see that the cost increases as the number of apples purchased increases, and vice versa.

The given equation z = 30x represents a direct variation is a type of relationship between two variables where their values increase or decrease proportionally.

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Answer: A ( -4, -7)Step-by-step explanation:if you translate -1, three units to the left u get -4 and then when u go nine units down

Step-by-step explanation:

The correct option is M(2) = 39; If Hazel mows a yard for 2 hours, she will earn $39 . Option C

A function can be defined as an expression that shows the relationship between an independent variable and a dependent variable.

Given the function;

M(t) = 7t + 25

Where;

For M(2), we substitute the value of t as 2 in the function

M(2) = 7(2) + 25

M(2) = 14 + 25

M(2) = $39

This explains that the she mows the yard for t = 2 hours, she would earn $39

Thus, the correct option is M(2) = 39; If Hazel mows a yard for 2 hours, she will earn $39. Option C

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Answer:

\(A.\ y = x^2 - 6x + 13\) is the correct answer.

Step-by-step explanation:

We know that vertex equation of a parabola is given as:

\(y = a(x-h)^2+k\)

where \((h,k)\) is the vertex of the parabola and

\((x,y)\) are the coordinate of points on parabola.

As per the question statement:

The parabola opens upwards that means coefficient of \(x^{2}\) is positive.

Let \(a = +1\)

Minimum of parabola is at x = 3.

The vertex is at the minimum point of a parabola that opens upwards.

\(\therefore\) \(h = 3\)

Putting value of a and h in the equation:

\(y = 1(x-3)^2+k\\\Rightarrow y = (x-3)^2+k\\\Rightarrow y = x^2-6x+9+k\)

Formula used: \((a-b)^2=a^{2} +b^{2} -2\times a \times b\)

Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.

Comparing \(y = x^2 - 6x + 13\) and \(y = x^2-6x+9+k\)

13 = 9+k

k = 4

Please refer to the graph attached.

Hence, correct option is \(A.\ y = x^2 - 6x + 13\)

Answer:

A. y = x^2 -6x + 13

Step-by-step explanation:

Answer:

x = 28

Step-by-step explanation:

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

Then x/(x +10) = 42/(42 +15)

x(57) = 42(x + 10)

57x = 42x + 420

15x = 420

x = 28

Answer:

the answer is no solution.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let h and s represent the numbers in the House and Senate, respectively. Then we have ...

  h + s = 88

  h - s = 54

Subtracting the second equation from the first gives ...

  (h +s) -(h -s) = (88) -(54)

  2s = 34 . . . . . simplify

  s = 17 . . . . . . . divide by 2

  h = 88 -17 = 71 . . . . find the other value using the sum equation

There were 71 females in the House of Representatives, and 17 females in the Senate.

The volume of the cardboard box is approximately 13197.402 cubic inches.

The volume of a cardboard box is 216 dm³, we can convert it to the English system of measurements.

1 dm (cubic decimeter) is equivalent to 1 liter.

To convert dm³ to cubic inches, we can use the following conversion factors:

1 dm³ = 61.0237 cubic inches

Using this conversion factor, we can calculate the volume of the box in cubic inches:

The cube carton volume is 216 dm3 and the cube edge value is 6 dm.

The volume of the cube is calculated by dividing the edge values. In other words, volume = edge 3.

To find the edge (side) value, you can solve for the volume formula as follows:

edge 3 = volume.

edge = ∛ volume,

Where ∛ is the cube root.

Applying this formula to the given problem gives edge = ∛(216 dm³).

Edge = 6dm. Therefore, the side (edge) value of the cube is 6dm.

Volume (cubic inches) = 216 dm³ * 61.0237 cubic inches/dm³

= 13197.402 cubic inches

Question :- If the volume of a cubic cardboard box is 216 dm³

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Answer: B

Step-by-step explanation:\(y=f(x)=2x^3-6x^2-48x+24\\\\y'=6x^2-12x-48=6(x^2-2x-48)=6(x-4)(x+2)\\\\y''=12x-12\\\\if\ x=4\ then\ y'=0\ and\ y''=12*4-12 >0 \ \\==>\ a \ max , y=2*4^3-6*4^2-48*4+24=-136\\\\if\ x=-2\ then\ y'=0\ and\ y''=12*(-2)-12 \ <\ 0\\==> a\ min\ y=2*(-2)^3-6*(-2)^2-48*(-2)+24=80 \\\\\\Answer\ B\)

The temperature fell from 0°F  to  \(-6\frac{3}{5}\).or below O°F in \(2\frac{1}{5}\)hours.  the temperature change per hour is  -3 degree

When two independent temperature readings are subtracted, or when calculating the amount of temperature rise or fall, the result is a temperature difference, also referred to as a delta temperature (T).

We are aware that throughout the course of hours, the temperature dropped from 0 to= \(-6\frac{3}{5}\).

Therefore, we will divide the change in temperature by the number of hours to determine the rate of change of the temperature.

In order to solve for that, we shall convert the mixed number into improper fractions.

\(-6\frac{3}{5}=\frac{-33}{5}degrees\\ 2\frac{1}{5} =\frac{11}{5}hours\\\)

Hourly temperature change =\(\frac{\frac{-33}{5} }{\frac{11}{5} }\)

=-3

As a result, there was a -3 degree shift in temperature every hour.

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Answer:

I would say try D and then try A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

89-6^2 = 53 so the third side is

\( \sqrt{53} \)

Answer:

\(\sqrt{53}\)

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the third side, then

x² + 6² = (\(\sqrt{89}\) )² , that is

x² + 36 = 89 ( subtract 36 from both sides )

x² = 53 ( take the square root of both sides )

x = \(\sqrt{53}\) ← length of third side

The twenty units of potatoes illustrates the measure of central tendency  and probability

Start by sorting the dataset:

0.19; 0.28; 0.55;

0.62; 0.68; 0.77;

0.88; 0.89; 0.98;

0.99; 1.11; 1.22;

1.22; 1.22; 1.33;

1.44; 1.48; 1.68;

1.77; 1.99

The highest occuring element is 1.22 with a frequency of 3

The two middle elements are 0.99 and 1.11.

The mean of these two middle elements is: 0.5 * (0.99 + 1.11) = 1.05

The mean of the whole dataset is:

Mean = (0.19+ 0.28+ 0.55+ 0.62+ 0.68+ 0.77+ 0.88+ 0.89+ 0.98+ 0.99+ 1.11+ 1.22+1.22+ 1.22+ 1.33+ 1.44+ 1.48+ 1.68+1.77+1.99)/20

Mean = 1.06

Hence, the modal weight is 1.22, the mean is 1.06, and the median is 1.05

(a) at least 1.1 kg

There are 10 potatoes that weigh at least 1.1 kg.

So, the probability is:

P = 10/20

P = 0.5

(b) more than 3.5kg

There are 0 potatoes that weigh more than 3.5 kg.

So, the probability is:

P = 0/20

P = 0

(c) below 0.50kg

There are 2 potatoes that weigh below 0.50 kg.

So, the probability is:

P = 2/20

P = 0.1

The Variance of the weight.

This is calculated as:

Var = \(\sum\)(x - mean)^2/n

This gives

Var = [(0.19 - 1.06)^2 + (0.28 - 1.06)^2 + (0.55 - 1.06)^2 + (0.62 - 1.06)^2 + (0.68 - 1.06)^2 + (0.77 - 1.06)^2 + (0.88 - 1.06)^2 + (0.89 - 1.06)^2 + (0.98 - 1.06)^2 + (0.99 - 1.06)^2 + (1.11 - 1.06)^2 + (1.22 - 1.06)^2 + (1.22 - 1.06)^2 + (1.22 - 1.06)^2 + (1.33 - 1.06)^2 + (1.44 - 1.06)^2 + (1.48 - 1.06)^2 + (1.68 - 1.06)^2 + (1.77 - 1.06)^2 + (1.99 - 1.06)^2]/20

Evaluate

Var = 0.22

This means that:

The expectation of the squared deviation of the random variable from the mean is 0.22 kg

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Answer:

0.22 kg

Step-by-step explanation:

a) Using the four basic mathematical operations, the number of balloons that each person hang up is 9.

b) An equation representing the situation is x = (125 - 80)/5.

The four basic mathematical operations include addition, subtraction, division, and multiplication.

The mathematical operations provide solutions to mathematical problems using operands.

An equation is a mathematical statement showing that two or more mathematical expressions are equal or equivalent.

The total number of balloons that Andre has = 125

The number of balloons remaining after hanging some for the school party = 80

The difference (number of balloons used) = 45 (125 - 80)

The number of friends who hang the balloons = 5

The number of balloons hung by each friend of Andre = 9 (45/5)

Thus, we can conclude that each of the 4 friend and Andre hung 9 balloons, with 80 remaining.

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B is not true, because in the graph when x=0 y=30, and when x=3 y is not equal to 28 (that would be true if she finishes 2 homework points every 3 minutes). the final answer will be B

Answer: 13m

Step-by-step explanation:

Use Pythagorean theorem: a²+b²=c²

5²+12²=c²

25+144=c²

c²=169

c=13 (even if it is true that there are positive and negative solution, but length cannot be negative)

Given:

To Find:

Concept Used:

Answer:

Here given

Here the length of ladder is equal to hypotenuse of ∆ so formed.

Now in a right angled ∆ ,

=> (hypotenuse)² = (pependicular)²+(base)².

=> h ² = (12m)²+(5m)²

=> h² = 144m² + 25m².

=> h² = 169m².

=> h = √169m².

=> h = 13m.

Hence the required answer is 13m.