b. Label and scale the axes
graph this situation with M
on the vertical axis and R on
the horizontal axis. Make sure
the scale is large enough to
see how much they would
raise if they sell 1,000 tickets.

Answer: 129275775.0

Step-by-step explanation:

129275775.0

whenever there is a whole number, the decimal is at the end of the number.

The cosine of angle J is given as follows:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:

For the angle J in this problem, we have that:

Hence the cosine of angle J is given as follows:

\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)

\(\cos{J} = \frac{4\sqrt{98}}{98}\)

\(\cos{J} = \frac{2\sqrt{98}}{49}\)

As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

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Answer:

27 isn't a prime because of the fact that it can be divided by 27.

And for your information, Prime numbers are numbers that can't be divided by any number other than 1 and itself.

Hope it helps.

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

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The tangent point and a second tangent point of a line with the same slope as the given line are (2.67, 6) and (2.57, 6.1).

The slope of the given line is -0.75.

The radius of the circle is |6 - 1.25| / -0.75 = 7.

The equation of the tangent line is y = -0.75x + c.

Substituting the coordinates of the center of the circle into this equation, we get 6 = -0.75 * 2 + c

Solving for c, we get c = 8.

The equation of the tangent line is y = -0.75x + 8.

The point of tangency is the point where the tangent line intersects the circle. To find the point of tangency, we need to solve the equation of the tangent line for x.

y = -0.75x + 8

6 = -0.75x + 8

-2 = -0.75x

x = 2.67

The point of tangency is (2.67, 6).

The second tangent point is the point where the tangent line intersects the circle at a different location. The direction of the tangent line is the same as the direction of the vector (-0.75, 1).

We can move the point of tangency a small distance in the direction of the tangent line by adding a small multiple of the vector (-0.75, 1) to the point of tangency.

Let's add a multiple of 0.1 to the point of tangency.

(2.67, 6) + 0.1 * (-0.75, 1)

= (2.57, 6.1)

The second tangent point is (2.57, 6.1).

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The line y = - 0.75x + 1.25 is tangent to a circle whose center is located at (2, 6) Find the tangent point and a second tangent point of a line with the same slope as the given line

The formula for calculating the area of a trapezoid is given by;

where a and b are the base and h is the height

From the question,

a = 5

b= 13

h = 3

substitute the vakues into the formula

A complementary angle is 90 degrees. The ratio is 2:3 so the equation would be:

2x+3x=90

5x=90

x=18

One of the angles would be 2(18) or 36 degrees and the other angle would be 3(18) or 54 degrees.

36+54 is equal to 90 degrees so it checks out.

Answer:

Step-by-step explanation:

use ratio and proportion:

5 miles  =    x miles

8 km            22.3 km

8(x) = 22.3 (5)

x = 111.5 / 8

x = 13.94 miles

Given:

A graph of bell peper patch is given as below

Find:

we have to find the Maximum possible area of bell peper patch represented by the function p corresponding to the length of the tomato patch x.

Explanation:

From the given graph of function p(x), it is observed that the function has maximum value at x = 6.

Therefore, when x = 6, we get

as the function p represents the area of the bell peper patch,

Therefore, Maximum possible area of the bell peper patch is p = 18 square feet, when the length of the zomato patch is x = 6 feet.

Answer:

The answer is Three-Fourthst(12)2

Answer:

C. or 3

Step-by-step explanation:

Answer:

option B)

Step-by-step explanation:

a1/a2= 6/1

b1/b2 = 2/3

since a1/a2 is not equal to b1/b2,

lines have a unique solution

hence answer is option B)

From the given information, the value of x in the given table is 42.5.

To find the value of x, we can use the formula for the arithmetic mean (average) of a set of numbers:

Arithmetic mean = (sum of all numbers) / (number of numbers)

Given that the average score on the test is 62, we can use this information to find the sum of all the scores.

Given that number of students is 1,2,3 and 4 with scores of 40,55,70 respectively, we can use this information to find the sum of all the scores.

Sum of all scores = (1 * 40) + (2 * 55) + (3 * 70) + (4 * x)

Now we can substitute the given average score and the number of students into the equation and solve for x.

62 = (1 * 40) + (2 * 55) + (3 * 70) + (4 * x) / 10

620 = 40 + 110 + 210 + 4x

4x = 170

x = 42.5

So, the value of x is 42.5

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The complete question is -

ten students wrote a test, and the distribution of scores is shown in the frequency table. if the average (arithmetic mean) score is 62, what is the value of x?

Score - 40, 55, 70, x

Number of students - 1, 2, 3, 4

I hope it helps you.

Keep learning.

Answer:

The answer is

110.4 in1d.p

110 to the nearest whole number

110.40 to the nearest hundredth

Step-by-step explanation:

48×2.3=110.4 in 1.d.p

Answer:

0.06

Step-by-step explanation:

125% × ? = 0.08

? =

0.08 ÷ 125% =

0.08 ÷ (125 ÷ 100) =

(100 × 0.08) ÷ 125 =

8 ÷ 125 =

0.064 ≈

Answer:

C

Step-by-step explanation:

The highest point on the graph of the normal density curve is located at its mean represented by μ.

The highest point on the graph of the normal density curve is located at its mean. The normal density curve or the normal distribution is a bell-shaped curve that is symmetric about its mean. The mean of a normal distribution is the measure of the central location of its data and it is represented by μ. It is also the balancing point of the distribution. In a normal distribution, the standard deviation (σ) is the measure of how spread out the data is from its mean.

It is the square root of the variance and it determines the shape of the normal distribution. The normal distribution is an important probability distribution used in statistics because of its properties. It is commonly used to represent real-life variables such as height, weight, IQ scores, and test scores.

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The game with 8 minutes of time-outs is 98 minutes long.

What is an algebraic expression?

An algebraic expression is a mathematical phrase that can contain numbers, variables, and operations such as addition, subtraction, multiplication, and division.

In this case, the algebraic expression that represents the length of the soccer game would be:

m = 90 + x

where m represents the total length of the game in minutes, 90 represents the fixed length of the game, and x represents the variable length of time-outs in minutes.

To find the length of the game with 8 minutes of time-outs, we substitute x = 8 into the expression:

m = 90 + 8 = 98

Therefore, the game with 8 minutes of time-outs is 98 minutes long.

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The estate dealer must sell 13 houses to reach a total commission of GHc6500

Number is a mathematical object used to count, measure, and label. It is an abstract concept that is used in many different contexts. Numbers can be used to represent a variety of different things, including quantities, values, and relationships. They are also used to represent abstract concepts such as time and money. In mathematics, numbers are used to represent sets, operations, and relationships between elements. Numbers play a crucial role in almost all areas of mathematics, from the simple counting to the study of complex equations.

Arithmetic progression is a mathematical process
which involves adding a constant number to a sequence of numbers. In this case, the constant
number is GHc500, and the sequence of numbers is the commission of GHc3750 for the first house
sold.

To find the total number of houses that must be sold to reach a commission of GHc6500, we
need to use arithmetic progression. To do this, we need to calculate the arithmetic mean of the
two numbers GHc3750 and GHc6500. This is done by adding the two numbers and dividing by two.
The arithmetic mean is GHc5125.

We then subtract the initial commission of GHc3750 from the arithmetic mean to find the
increment in the commission for each additional house sold. This gives us the amount of GHc500
for each additional house sold.

To find the total number of houses that must be sold to reach a commission of GHc6500, we
then need to divide the total commission of GHc6500 by the GHc500 increment. This gives us
13 houses. Therefore, the estate dealer must sell 13 houses to reach a total commission of GHc6500.

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The highest she can round to is $350

Answer: I wish I could help but I can't see the picture sorry :(

Step-by-step explanation:

While linear regression can be a useful tool for prediction, it is important to consider the quality of the data, assess the linearity assumption, and be cautious when extrapolating beyond the observed data range.

This is an example of using linear regression to predict the weight of a kitten at a specific time (10 weeks in this case) based on the given linear model ŷ = 1.7 + 1.48t.

Using linear regression to make predictions is a common practice and can provide reasonable estimates in many cases. However, whether it is considered a best practice for prediction depends on various factors. Here are a few considerations:

Data quality: The accuracy and reliability of the predictions heavily depend on the quality of the data used to build the linear model. If the data used for training the model is representative and accurately reflects the underlying relationship, the predictions are likely to be more reliable.

Linearity assumption: Linear regression assumes a linear relationship between the predictor variable (in this case, time) and the response variable (kitten weight). If the relationship is not truly linear, the predictions may be less accurate. It is important to assess the linearity assumption and consider alternative models if needed.

Extrapolation: When making predictions outside the range of the observed data (such as predicting the weight at 10 weeks when the data only goes up to 8 weeks), caution should be exercised. Extrapolating beyond the observed range can introduce more uncertainty and may lead to less accurate predictions.

In summary, while linear regression can be a useful tool for prediction, it is important to consider the quality of the data, assess the linearity assumption, and be cautious when extrapolating beyond the observed data range.

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Answer:

Aaron earns $ 204.80 as interest by investing $512 at 5% simple interest for 8 years.

Step-by-step explanation:

Simple interest:

              S.I = \(\frac{P . r . t}{100}\)

             where P = the principal (initial amount invested)

              r = rate of interest (in %)

              t = number of years for which P is invested.

Solution:

Here, it is given that Aaron invests $512 in a company and receives 5% simple interest for 8 years.

Therefore, P = $512

r =  5%

t = 8 years.

Unknown = simple interest.

Using the formula S.I = \(\frac{P . r . t}{100}\), we find

S.I = ( $512 x 5 x 8 ) ÷ 100 = $ 204.80.

Thus Aaron earns $ 204.80 as interest on his invested amount.

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Answer:

m = 875 kg

f (Dave) = 250 N

f (Alex) = 315 N

The net force acting on the car here is 65 Newton

Force is an external agent capable of changing a body's state of rest or motion. It has a magnitude and a direction.

F = m * a

F=force       m=mass of an object     a=acceleration

Given here, Dave pushes the car to the right with a force of 250N, and Alex pushes to the left with a force of 315 N. Clearly only the horizontal forces will be considered thus with both objects acting in opposite directions the net force on the car is = 315-250

                                     = 65N

Hence, The net force acting on the car here is 65 Newton

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A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. To find out how many prime numbers there are between 30 and 50, we need to check each of the numbers from 30 to 50 to see if it is a prime number.

A prime number is a number that is only divisible by 1 and itself. The prime numbers between 30 and 50 are: 31, 37, 41, 43, and 47.

Therefore, there are 5 prime numbers between 30 and 50.

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Answer:

2

Step-by-step explanation:

16

2x8

2x4

2x2

There are 4 ways to pack 9 identical dvds into 3 indistinguishable boxes so that each box contains at least 2 dvds.

To solve this problem, we can use the stars and bars method. We have 9 identical dvds that we want to pack into 3 indistinguishable boxes. Let's use stars (*) to represent the dvds and bars (|) to represent the divisions between the boxes. For example, one possible arrangement would be: **|***|****
This means that the first box has 2 dvds, the second box has 3 dvds, and the third box has 4 dvds.
We can count the number of arrangements by placing 2 bars among the 9 stars. This will divide the stars into 3 groups, which will represent the number of dvds in each box. For example, if we place the bars like this: **||*****
This means that the first box has 2 dvds, the second box has 0 dvds, and the third box has 7 dvds. However, we need each box to have at least 2 dvds, so this arrangement is not valid.
To ensure that each box has at least 2 dvds, we can start by placing 2 dvds in each box. This will use up 6 dvds, and we will be left with 3 dvds. We need to distribute these 3 dvds among the 3 boxes, while still ensuring that each box has at least 2 dvds. We can do this by using the stars and bars method again, but this time with only 3 stars (representing the remaining dvds) and 2 bars (representing the divisions between the boxes).
The number of arrangements is therefore: (3+2-1) choose (2-1) = 4
This means that there are 4 ways to pack 9 identical dvds into 3 indistinguishable boxes so that each box contains at least 2 dvds.

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