On which number line the location of point P represent the probability of an event that is likely, but not certain?

(3x - 2)(x + 6)

3x² +16x-12​

a = 3, b = 16, c = - 12

a(c) = 3(-12) = -36

The factors of -36 whose sum will give +16 are -2 and 18

3x² + 18x - 2x - 12

3x(x + 6) -2(x + 6)

(3x - 2)(x + 6)

The factorisation: (3x - 2)(x + 6)

The figure given is a sphere

A surface area of a sphere is given by

The diameter of the sphere is given to be 42 cm

The radius of the sphere is half the diameter =

Substituting the value of r into the formula

The correct answer is option A

According to the given data we have the following:

ma ate one slice of pizza

pa ate 2 pizza slices

Therefore, if there are 8 slices of pizza, the amount of pizza thay they ate together would be calculated as follows:

amount of pizza thay they ate together= number of pieces that they ate together/The total number of pieces

amount of pizza thay they ate together=3/8

amount of pizza thay they ate together=0.375

Therefore to calculate the amount of pizza that is not eaten we would have to make the following calculation:

amount of pizza that is not eaten=1-0.375

amount of pizza that is not eaten=0.625

Therefore, the percent of the pizza is not eaten is 62.5%

The principal amount given out as loan is 239447.08

The monthly payment is the amount paid per month to pay off the loan in the time period of the loan. When a loan is taken out it isn't only the principal amount, or the original amount loaned out, that needs to be repaid, but also the interest that accumulates.

The formula is given as

[tex]m = P[\frac{r(1+r)^n}{(1+r)^n^-^1}[/tex]

Substituting the values and solving for the principal amount, this will cost 239,447.08.

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Daily dosage of medicine for every 20 pounds of body weight = 70 mg

Daily dosage of medicine for every 1 pound of body weight = 70/20 mg

Daily dosage of medicine for every 1 pound of body weight = 3.5 mg

Daily dosage of medicine for every 175 pounds of body weight = 175 x 3.5

Daily dosage of medicine for every 175 pounds of body weight = 612.5 mg

Therefore, the daily dose for a man who weighs 175 pounds is 612.5 mg

If the man is to receive 900 mg in 8 hours

Dosage he will receive in 1 hour = 900/8

Dosage he will receivw in 1 hour = 112.5 mg

Dosage he will receive in 24 hours = 112.5 x 24

Dosage he will receive in 24 hours = 2700 mg

This means the man will take 2700 mg instead of the normal 612.5 mg. He is receiving the wrong dosage

Total weight of the bag of dog food bought by John = 20 Pounds

Number of times the dog is fed in a day = 2

Weight consumed by the dog at each feeding = 3/4 Pound.

Therefore:

To determine how many days the 20-pound bag will last, we have:

The 20-pound bag of dog food will last 13 1/3 days.

We have that the area of a triangle is given by:

We replace the values we know:

Now, we solve for h:

From this, we have that the height of the triangle is 4 units.

We will draw the Venn diagram to show the universal st U and the 3 sets A, B, C

Now we will start with the common elements of A and B

5 is the common element of A and B

1 is the common element between A and C

2, 4, and 6 are the common elements between B and C

3 is in A only

Now we can answer the question using the Venn diagram

1. A' means all the elements in U except A, then

2. B U C means all elements in B and C

3. A intersect C means common elements in A and C

4. B' all elements in U not in B

5. A U B all elements in A and B

a. (A U C}' means all elements in U except A and C

Empty set because all elements are in A and C

b. A' intersects C'

No common elements between A' and C'

c. (A intersects B)' means all elements in U except the common elements between A and B

Step 1

Define the equation of a circle

Step 2

Write down the parameters

r = radius = ?

h = -6

k = 4

Step 3

find the radius

Considering the triangle we can find the radius using the Pythagoras theorem

Step 3

Substitute the values into the equation and simplify

Answer is option A

the circumference of the circle is 62.8 inches

Explanation

the circumference of a circle is given by:

Step 1

Let

now, replace in the formula

therefore, the circumference of the circle is 62.8 inches

I hope this helps you

In order to determine the price of each pair, just calculate the quotient in between the total price and the number of dozen works, which were 5:

73.80/5 = 14.76

Hence, each pair of dozen work costed $14.76

Okay, here we have this:

Considering that the slope intercept form is the following:

y=mx+b

If we replace with the provided info we obtain the following:

8=m(1)+4

And here we can clear for the slope (m):

8=m(1)+4

8=m+4

m=8-4

m=4

With this slope we can replace in the slope intercept form and finally we obtain the following equation:

The amount that Ethan pays for the video game is 47.988.

From the information illustrated, it should be noted that it was stated that Ethan buys video games for 39.99 sale on 20% tax.

In this case, the amount that he will pay will be:

= Original amount + Tax

= 39.99 + (20% × 39.99)

= 39.99 + 7.998

= 47.988

The amount is 47.988.

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Complete question

Ethan buys vidio games for 39.99 sale on 20% tax how much ethan payed

EXPLANATION:

Given;

We are given the function below;

Required;

We are required to describe what change would be made to graph the function;

For a function given such as the one here, when the graph is shifted to the right, then the original function is affected as follows;

For a shift to the left, we would have a plus sign, that is, add x number of units the graph is being shifted.

Therefore, for a function that has changed such as the one given,

What we have is shift the original graph 7 units to the right.

ANSWER:

The first option is the correct answer.

From the picture,

x + y = 21

From definition,

speed = distance/time

The girl whose speed is 3.5 mph, walks x miles in t hours, that is:

3.5 = x/t

or

x = 3.5t

Similarly,

y = 2.5t

(they walk for the same time)

Replacing into the first equation:

3.5t + 2.5t = 21

6t = 21

t = 21/6

t = 3.5

It will take 3.5 hours until they meet up

Total cost of the bicycle with sales tax included = $561.14

STEP - BY - STEP EXPLANATION

What to find?

The total cost of the bicycle with sales tax included.

Given:

Price of bicycle before tax = $521.99

Tax rate = 7.5%

To solve the given problrm, we will follow the steps below:

Step 1

Calculate the amount of the tax rate.

Step 2

Add the amount of tax obtained in step 1 to the price of bicycle before tax.

Therefore, the total cost of the bicycle with sales tax included is $561.14

The original price of the suit was $260. If the sale price was 40% off the original price, it means that the amount of discount was

40/100 * 260 = 104

The sale price is 260 - 104 = $156

If he paid sales tax of 9% of the sale price, it means that the amount of tax is

9/100 * 156 = 14.04

Therefore, the amount that he paid including tax is

156 + 14.04 = $170.04

Rounding up to the nearest dollar, the amount is $170

1) Slope is the ----- of a line. It is also known as the ------ rate of change.

Slope means steepness and it is a constant rate of change meaning that it does not change.

2) If a line is slanting upwards we say it has a ------ slope.

Slanting upward means a positive slope, for example when you are moving uphill.

If a line is slanting downwards we say it has a ------ slope

Slanting downward means a negative slope, for example when you are moving downhill.

3) A slope of zero means the line is -----

a Slope of 0 means that the line is horizontal. for example when you are moving on a straight road.

4) An undefined slope means the line is -----

An undefined slope means that the line is vertical. for example when you are climbing a vertical wall.

5) All straight line graphs are known as ------ relationships.

They are known as linear relationships.

6) To find the slope of a line we use the formula ----- over ------

We use the slope formula that is rise over run.

We will write functions for the money that Kara and Kevin will receive each day.

1) The first day, Kara receives $3, and then she receives $1 more each day.

The money that she receives the n day is given by the following recursive function

where n is the nth day, and f(1) = 3. We can also write this function in the following form:

2) In the case of Kevin, he receives $0.25 the first day, and the next day he will receive the double.

So we can write the following recursive function:

where n is the nth day, and g(0) = 0.25/2. We can also write this function in the following form:

1) Gathering the data

The ratio of yes votes to no votes was 8 to 5.

8/5

8463 votes

2) Let's use the property of proportions, to write an expression to solve that problem:

So there were 3255 no votes.

The range is the set of possible output values, which are shown on the y-axis.

As shown in the graph, the range is represented by the average growth of the horse.

Therefore, the answer is letter A.

Answer:

A.the range is represented by the average growth of the horse.

Step-by-step explanation:

Solution:

If two angles of a triangle have measures equal to the measures of two angles of another triangle, then the triangles are similar. Corresponding sides of similar polygons are in proportion, and corresponding angles of similar polygons have the same measure. Two congruent shapes are similar, with a scale factor of 1.

Similarity statement:

In geometry, it states that two sides are similar if they have the same side ratio and the same angles

From the image in the question,

The quadrilateral ABCD has the following angles

From the similarity statement above,we can deduce that

The rate of change of the line is equal to its slope. To calculate the slope, choose two points on the line and write down their coordinates.

Take the points:

Given two arbitrary points:

The slope between them is given by the equation:

Substitute y_2=6, y_1=4, x_2=5 and x_1=0 into the formula for the slope to find the rate of change:

Therefore, the rate of change of the vocal pieces that Greta can sing over the weeks that she takes voice lessons, is 2/5.

Solution

For this case we can do the following:

Then the answer is:

-9/14

Draw the barn dorr

the area of a rectangle is

where h is height and w the width

the replacing

then area of outside dor is 4800 square inches

Given:

Probability of few cases is given

Required:

I would appreciate your feedback - you can provide it by rating the session.

Explanation:

(a)

(b) Odds against is given by number of failures/number of successes

Required answer:

Calculating the slope of the line with points (0,3) (1,-2)

With the slope and one of the points we find the y-intercept with the equation y=mx +b.

y= mx + b (m: slope , b=y-intercept)

3=-5(0) + b (Replacing m=-5 and the point (0,3))

3= 0 + b (Multiplying)

3=b

The answer is y=-5x + 3.

In general, the formula to find the midpoint of a line segment which ends have the coordinates (x₁,y₁) and (x₂,y₂) is given by

Working with the formula we are given, for the x coordinate of the midpoint we have:

In order for this to be like the previous formula, we have the following equation:

From here, we see that a+b must be equal to 2, so:

In order for this last equation to be true, a must equal 1:

Let's verify this with the formula for the y coordinate of the midpoint:

Since using our previous deduction leads us to the correct formula for the y coordinate of the midpoint as well, we can conclude that a=1 and a+b=2.

The general formula for the standard deviation is:

in which, N is the number of data, and μ is the sample's mean.

Start by calculating the sample's mean

then, apply the standard deviation formula

Answer:

The standard deviation is 0.7