What are two possible numbers that are 5 units from the number -6 on a number line?

We have the following data set

17482

14987

13521

14550

18570

14981

there are 6 values, so we can find the mean by adding them all and dividing by 6

Then, the mean is $15,681.83

Note that the graph shows us that the minimum and maximum value of the ages are 40 and 75, respectively.

We can count the number of bars on the histogram. We see that the are 7 bars in total.

Each bar consider the same age span, so that means that each bar represent an age span of the same amount of years.

To calculate this range, we first find the difference between the maximum and the minimum, that is

Now, we divide this number by the total number of bars. That is

So, each bar represents a range of 5 years .

Since the minimu is 40, this means that the first bar should represent ages from 40-44. Note that despite the difference between 44 and 40 is only 4, since we are including age 40 in the first bar, we have numbers 40,41,42,43,44 (5 numbers ) associated to the first bar.

This means that for the next one, which is the range T we are looking for, the correspondent age range should be 45-49

Let the formula be for time in seconds

Thus, we have:

T_a would be the freezer temperature, 4

T_0 would be the initial temp, which is 73

t is the time [9 minutes afterwards, t = 9]

k is 0.05

Substituting, we get:

To nearest degree Fahrenheight, T = 48 degrees F

Answer: 47 degrees celcius

Step-by-step explanation:

Using a system of equations, it is found that:

1.

2. Tables are good for summarized data, that is, containing a few pairs of input - outputs solutions.

A system of equations is when multiple variables are related, and equations are built to find the numeric values of each variable, according to the relations built in the problem.

In the context of this problem, the variables are given as follows:

Considering that they want to raise $100, and the prices of $4 for each chocolate chip and of $2 for each brownie, the equation is:

4x + 2y = 100.

In intercept form, the equation is given by:

2y = 100 - 4x

y = -2x + 50.

When x = 10, the solution of the system for y is given as follows:

y = -2(10) + 50 = -20 + 50 = 30.

Hence one possible solution is (x,y) = (10,30), meaning that she can sell 10 chocolate chips and 30 brownies.

In this question, we are given pairs of input-output that satisfy the given condition, hence tables are more appropriate than graphs.

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Answer:

1. 100=4x+2y and y = -2x+50

X=19, and Y=12

2. Graphs are better for showing trends. tables are better for showing precise data.

Step-by-step explanation:

Luna makes $4 per cookie, so her equation for her income is 4x. Miles makes $2 per cookie, so his equation is 2y. Since they want to make $100, that means that 100 = 4x+2y. Then put this in y-inercept form. Or, y=-2x+50

So now I need to find a solution for y = -2x+50, or 100=4x+2y. One way to do this is through substitution. We can use 12 as the y input.

​

This would mean that miles sold 12 brownies.  Then,  ---> = 19.

​

Therefore, a solution is x=19 and y=12. Meaning Luna sold 19 cookies and Miles sold 12 cookies. (19,12)

The function which represents the phone rate is a straight line, which can be gotten by the following formula:

Where m is the slope, and b the point where the y-axis is crossed by the line.

Let's get the slope first:

And b = 25 because (0, 25) is where the line has crossed the cost axis.

Therefore:

Given the number of boats = 25

There are 12 rowers in each boat

So, the total number of rowers = 25 x 12 = 300

The total fundraiser = $7500

So, to find the entry fee for each rower, divide 7500 by 300

so, the entry fee =

so, the answer will be $25

Given the quadratic equation:

To find the solutions for the given equation you have to apply the quadratic formula:

Where

a is the coefficient of the quadratic term

b is the coefficient of the x-term

c is the constant of the equation

For this equation, a= 16, b= -24, and c= -27, replace the values into the formula:

Solve the addition and subtraction separately to determine both possible values of x:

-Addition:

-Subtraction

The solutions of the quadratic equation are x=9/4 and x=-3/4

Let the lesser integer be "x".

So, the greater integer will be "x + 8".

Given,

Product of lesser and "-5" is 28 MORE THAN greater.

We can write the equation as:

We can simplify this equation and solve for x. The steps are shown below:

Less integer (x) is -6, and

Greater integer (x+8) is -6 + 8 = 2

Answer

-6 and 2

Given the expression

To simplify this expression you have to perform the mathematical operations to all "alike" terms, this is, those who have the unknown value "x" go together and those that do not have the unknown go to another group:

Answer:

use followimg steps to your answer

Answer:

Step-by-step explanation:

The least common multiple of the denominators 5 and 7 is 35. Make the denominators of the fractions as 35 using multiplication. Compare the numerators. So, 3 : 5 is greater than 4 : 7.

Hope this helps!

We can write an expression for the cost of Bob's phone service as follows:

First, remember that five cents are 0.05 dollars.

Where C is the cost and m are the minutes.

We know that at least he has been charged in a month is $94.70.

We can express this as an inequality:

To find the possible number of minutes, we have to solve the previous equation for m. This is:

Therefore, the possible numbers of minutes he has used in his phone in a month are:

Earthquakes are caused by human activity, like tunnel construction, filling reservoirs that leads to a sudden release of stress along faults in the earth's crust.

An earthquake is caused as a result of a sudden slip on a fault in the earths outermost layer.

The genesis of this discussion is that the tectonic plates are usually moving slowly. However, these tectonic plates may  get stuck at their edges as a result of undergoing friction. Now, after the stress on the edge overcomes the friction, there would be an earthquake that would release energy in form of waves travelling through the earth's crust that leads to the shaking of the earths surface that humans experience in an earthquake.

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Answer:

Step-by-step explanation:

It is assumed you need to convert the given function into vertex form.

Converting in below steps:

We got:

The value of X is ([tex](A-CB)^{-1}[/tex] CD.

Given,

AX[tex](D+BX)^{-1}[/tex] = C

Multiply both sides on the right by (D+BX):

AX[tex](D+BX)^{-1}[/tex] × (D+BX) = C × (D+BX)

AX ([tex](D+BX)^{-1}[/tex] (D+BX)) = C(D+BX)

AX × I = CD + CBX

AX = CD + CBX

Subtract CBX on both sides and factor:

AX – CBX = (CD + CBX) – CBX

AX – CBX = CD + (CBX – CBX)

AX – CBX = CD + 0

(A – CB)X = CD.

Multiply both sides on the left by [tex](A-CB)^{-1}[/tex] :

([tex](A-CB)^{-1}[/tex] × (A – CB)X = ([tex](A-CB)^{-1}[/tex]  × CD

([tex](A-CB)^{-1}[/tex] × (A – CB)) X = ([tex](A-CB)^{-1}[/tex]  CD

IX = ([tex](A-CB)^{-1}[/tex] CD

X = ([tex](A-CB)^{-1}[/tex] CD.

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Systems of Equations

Given the system:

It's required to graph and find the solutions of the system.

Solving the first equation for y:

We can see both equations are exactly the same, so there is only one equation and one line.

Let's give x some values and graph the line.

x = 0:

x = 2

With the points (0, 2) and (2, 1) we graph the line as follows.

Since the number of equations is greater than the number of unknowns, the system has infinitely many solutions. For example, (0, 2) and (2, 1) are solutions for the system.

Since the segment MN is the diameter of the circle, the arc MACN has an angle with a measure of 180°, Then by adding the measures of the angles of the arcs MA, AC and CN we should get 180°, like this:

mMA + mAC + mCN = 180

By replacing 55° for mMA and 65° for mCN, we can solve for mAC to get:

55 + mAC + 65 = 180

120 + mAC = 180

120 - 120 + mAC = 180 - 120

mAC = 60

The measure of the arc ACN is calculated by adding the measures of the angles AC and CN, then we get:

mACN = mAC + mCN

mAC = 60 + 65

mAC = 125

Then, the angle of ACN has a measure of 125°

Given that the triangles are corresponding triangles, then ∠B ≅ ∠E, therefore:

m∠B = m∠E

Replacing with data:

3v + 4 = 8v - 6

3v is adding on the left, then it will subtract on the right

6 is subtracting on the right, then it will add on the left

4 + 6 = 8v - 3v

10 = 5v

5 is multiplying on the right, then it will divide on the left

10/5 = v

2 = v

Then, the measure of B is:

m∠B = 3v + 4 = 3(2) + 4 = 10°

The measure of angle B is 10°

The formula for calculating the percent change over time is:

In this case, we have:

The value of the house when purchased is 250,000.

Select three x values and list them in a table to graph the equation. (Tip: pick values that are simple to calculate, such as 1, 0 and 1). To determine the associated y-coordinate, simplify the equation by substituting each value. Place the sorted pairings on a graph, and then draw a line between each point.

What is an equation graph?

Select three x values and list them in a table to graph the equation. (Tip: pick values that are simple to calculate, such as 1, 0 and 1). To determine the associated y-coordinate, simplify the equation by substituting each value. Place the sorted pairings on a graph, and then draw a line between each point.

example y = 1-1/3x,

x = -3,0,3,6

solution:

given x = -3,0,3,6 to above equation of a graph to get the points

         y = 2,0,0,-1

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Considering the definition of percent of error, the Stephanie’s percent of error in this case is 5.042%.

Percent of error is a measure of how inaccurate a measurement is, standardized based on the size of the measurement.

In other words, the percent of error allows knowing the differences between the estimated value and the real value. The error may be due to the measurement method (tool or human error) or due to approximations used in the calculation (for example, rounding errors).

To calculate the percent of error you must:

Therefore, the expression for calculating the percent of error is

percent of error= [|real value - estimated value|÷ real value]×100

In this case, you know:

Replacing in the definition of percent of error:

percent of error= [|8.33 pounds - 8.75 pounds|÷ 8.33 pounds]×100

Solving;

percent of error= [|-0.42 pounds|÷ 8.33 pounds]×100

percent of error= [0.42 pounds÷ 8.33 pounds]×100

percent of error= 0.05042×100

percent of error= 5.042%

Finally, the percent of error in this case is 5.042%.

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The angle the pole makes with the tent is 39.7°.

What is an angle?

An angle is a figure in Euclidean geometry created by two rays, called the sides of the angle, that share a common termination, called the vertex of the angle.

Angles formed by two rays are located in the plane containing the rays.

Trigonometric ratio: the trigonometric ratio is used to demonstrate the relationship between the sides and angles of a right-angled triangle.

Let θ represent the angle the pole makes with the tent.

Using trigonometric ratios:

cos(θ) = 20/26

θ = 39.7°

Therefore, the angle the pole makes with the tent is 39.7°.

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The given experiment is a die that is tossed three times.

X is the sum of the three numbers obtained.

You need to determine if the random X variable has a binomial distribution.

First, we need to understand what makes a random variable has a binomial distribution. There are 4 conditions to be met:

1. There are a fixed number of trials N

2. Each trial has only two possible outcomes: success or failure

3. The probability of success is equal in each trial

4. The trials are independent.

In this case, condition 1 is met, but condition 2 is not met, since in each trial we can obtain 6 different numbers, then there are not only two possible outcomes, but 6, then the sum of the three numbers has more than two possible outcomes. So, the random X variable doesn't have a binomial distribution.

Given

Round to the nearest tenth, this is:

Answer: 1.5

the interval notation is [-7,8] but i have no idea what roster notation is

The slope intercept form of the line for (-1,0) and (4,-5) is y = -x -1.

We know that,

Slope intercept form of a line is given by:-

y = mx + c

Where,

m is the slope of the line,

c is the y -intercept of the line and,

(x,y) is the ordered pair of each point on the line

We know that,

m = (-5-(-1))/(4 - 0) = (-5 +1)/4 = -4/4 = -1

Putting (-1,0) in the line, we get

0 = (-1)*(-1) + c

0 = 1 + c

c = -1

Hence, the equation of the line is given by:-

y = -1x -1 = -x - 1

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The marks on the test tube where the liquid will be after the sixth drop is added is d. 4/5 and 5/5, between 0.8 and 1 ml.

From the information, the scientist adds drops of liquid to a test tube. The test tube has marks every 1/5 ml while each drop contains 0.14 mL.

In this case, it was stated that each drop is about 0.14mL. Therefore, it's important to note that the value of the 6th drop will be:

= Number of drops × Amount on each drop

= 6 × 0.14

= 0.84

In this case, 0.84 is between 0.8 and 1ml.

Therefore, the correct option is D.

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The value is 22

Given:

To find:

the value of the expression when w = 4 and x = 2

To determine the value, we will substitute the values for x respectively and w :

Answer:

79.10900 kilometers

Step-by-step explanation:

Answer:

79 kilometers 109 meters