What is the average rate of change from point A to point B in the graph below? A(1/3) B(3/7) C(3) D(6)

The ratio between the child tickets to adult tickets is 8 : 1

The child tickets are more by 147

Let us use the ratio method to solve the question

Child : Adult : difference

8 : 1 : 7 (8 - 1)

x : y : 147

By using cross multiplication

Divide both sides by 7 to find x

Divide both sides by 7 to find y

The total number of tickets = 168 + 21 = 189

The total number of tickets is 189

The ratio wins to losses of each team are:

Then, Leopards and Pirates have the same ratio

Answer:

The nearest 10,000 is;

Explanation:

We want to round off the given number to the nearest 10,000.

We will find the closest ten thousand to the given number;

Therefore, the nearest 10,000 is;

Solution

For this case we have the following equation given:

We want to know what represent the 32 value

So then the answer is:

Total of miles that can cover the car with 15 gallons of gas

We know that if l and m are parallel there might be some angles that are equal to others:

Alternate interior angles

The angles closed by a blue circle are alternate interior angles, then they should be equal if l||m.

Vertcial angles

The angles closed by an orange circle are vertical angles, because they are opposite to each other on two crossed lines.

Now, we know two angles of the triangle of the middle:

We know that the addition of all the inner angles of a triangle is 180º. This is:

50º + 55º + xº = 180º

↓

105º + xº = 180º

Now, we can find x:

105º + xº = 180º

↓

xº = 180º - 105º

xº = 75º

ANSWER

41.3 m

EXPLANATION

1 meter is 100 centimeters. To transform from centimeters to meters, we have to divide by 100:

4,130 centimeters is 41.3 meters.

Answer:

Explanations:

Probability is the likelihood or chance that an event will occur. Mathematically:

According to the question, we are told that the probability of selecting a black chip on the first draw is 5/8, this shows that the total number of chips is 8 since it was a first draw (all chips are intact).

If the probability of selecting a black chip and a white chip is 24/56 without replacement, then;

Substitute the given probability into the formula to have:

Given:

289 megabytes

and 18.6% = 0.186

Therefore:

Round to the nearest tenth: 53.8

Answer: 53.8 megabytes

The population of bacteria in the culture after 11 hours is 581 using the exponential decay formula.

The total number of people living in a particular area, such as a city or town, region, country, continent, or the entire world, is typically referred to as the population. Governments frequently conduct censuses to estimate the number of residents living within their jurisdiction. A census is a process for gathering, analyzing, compiling, and releasing statistics regarding a population.

A culture of bacteria has an initial population of 220 bacteria, which doubles every eight hours, according to the information provided.

By applying the formula,

P(t)=P₀.[tex]2^{t/d}[/tex]

P(t) is the population at the end of t hours.

P0 is the starting populace.

d is the doubling time, while t is the time in hours.

After 11 hours, we are asked to determine the bacteria population.

First, we will enter the following values in the doubling life formula as substitutes:

P(t)=220([tex]2^{t/8}[/tex])

Now we will substitute t=11 in our formula to find the population of bacteria after 11 hours as follows:

P(11)=220([tex]2^{17/8}[/tex])

P(11)=220([tex]2^{1.4}[/tex])

P(11)=220(2.639015822)

P(11)=580.5834807≈581

P(11)=581

Consequently, after 11 hours, there will be 581 bacteria.

To know more about the population, visit:

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The function is given as

To find the inverse of the function ,

Replace x with y.

Now solve for y,

Add 4 and subtract 4 in the RHS.

Hence the inverse of the function is

SOLUTION

Let one of the numbers be x

Using the statement: The second number is 3 less than twice the first

Then the second number is

Since, the sum of 2 numbers is 75

It follows:

Solve for x

Therefore the first number is 24

The second number is

therefore the numbers are 49 and 26.

Infinite number of solutions

The given system of equations:

7x + 7y = 28........(1)

4x + 4y = 16.........(2)

Multiply equation (1) by 4

28x + 28y = 112..............(3)

Multiply equation (2) by -7

-28x - 28y = -112...............(4)

Add equations (3) and (4) together

0x + 0y = 0....................(5)

Since the right hand and left hand sides of equation (5) are equal, the equation has infinite number of solutions

The correct extended proportion is:

Since the other two options have some non-correspondant proportions.

We are given that

Cost of dress per meter = $R

Total cost of dress = $ 3R

Cost of Acessories = $50

We want to find:

Part A

The total amount of money Gifty will need to spend on the dress in terms of R

To find the total amount, we just add up

Let T denotes the total amount of money

Thus, the total amount is $ (3R + 50)

Part B

If Gifty has $4000 to spend on her dress including accessories, what is the maximum value of R?​

We only need to equate T to 4000 and solve for R

Thus, the maximum value of R is $1316.67

The coordinate of the point N is (-6,2).

The point on reflection about x axis, the x -coordinate remain same and sign of y-coordinate changes.

Determine the coordinate of point N'.

Plot the point on the graph.

Given:

The triangle ABC is similar to the triangle A'B'C'

So, the corresponding sides are proportions

So, the factor of dilation will be:

so, the answer will be 2/3

EXPLANATION

Let the probability that KSU will win a game be Pr(A), and let the probability that VSU wins be Pr(B). Therefore;

We can then use the conditional probability formula below.

Therefore, the probability that KSU will win given that VSU has already won becomes

Answer: 0.94

Kindly check below

1) Let's do it in parts.

a) We can find the x-intercepts by using the factor zero property from each factor. Like this:

The best way to find the y-intercept with this factored form is by plugging into that equation x=0

b) Expanding those factors by distributing them (FOIL) we can find this:

So now, let's find the x-coordinate of the vertex V(h,k):

c) The coordinates of the vertex can be found by plugging the x-coordinate into the quadratic function. This way:

d) Finally, we can plot that function by setting a table:

So plotting these points (-2,6),(-1,6), (0,4), (1,0),(2,-6) and opening down the parabola for a is -1 we can plot this:

As a rule , - times - = + and - times + = -

Therefore the correct answer to the question is 2m squared n

a) 1400 has 2 significant figures, zeros are no consider as significant figures

b) 1001 has 4 significant figures, zeros in between two nonzero numbers are significant figures

c) 101.2 has 4 significant figures, zeros in between two nonzero numbers are significant figures. Nonzero number are significant figures

d) 2310 has three significant figures. 2,3 and 1 are significant figures.

The Area of a Right Triangle

The area of any triangle of base B and height H is:

The base and the height must be perpendicular, i.e, the angle between them must be 90°.

The trick here is to prove the triangle is right at the point (15, 5).

If two lines are perpendicular, the product of their slopes is -1.

Calculate the slope of the line that joins the vertices at (5, 15) and (15, 5):

Calculate the slope of the line that joins the vertices at (20, 10) and (15, 5);

It can be verified that m1 * m2 = -1, thus the lines are perpendicular and we can use the formula given above to compute the area.

Find the length of both lines with the formula of the distance:

Apply the formula of the area:

The area is 50 square units

Step 1

Find the value of θ using the inverse sign of all the functions.

A)

B)

C)

ANSWER:

C. 8 + h

STEP-BY-STEP EXPLANATION:

We have the following expression:

We evaluate each case and obtain the following:

We substitute each function evaluated to determine the final result, just like this:

Therefore, the correct answer is C. 8 + h

Given:

a.) Han spent a total of $221.76, before tax, on bags of chips for the basketball team.

b.) Each bag cost $3.52.

Let's determine the number of bags of chips bought.

Therefore, Han bought 63 bags of chips for the basketball team.

The answer is 63.

Calculate each interquartile: subtract the upper quartile to the lower quartile

1. 9-7 = 2

2. 105-97 = 8

3. 17-7.5= 9.5

4. 7 -4 = 3

The greatest interquartile is 9.5 (option 3)

Thus, the point which represent square root of 28 should lie between 5 and 6 which is point B.

Thus, option (B) is correct.

What we can observe in equality is the commutative property of multiplication.

The answer would be Commutative Property of Multiplication

According to the given image, the table has a flat surface, whcih means the ball would not roll off because there's no slope or inclination. Also, assuming that there's no other forces being applied, the ball should not roll off.

The required interpolation in adjusted 2020 is 0.50

We find the interpolation using the formula:

Let us choose these points as follows:

So,

In adjusted 2020, we have x = 7.25, using this, we have:

Answer:

5:13

Explanation:

Given that the probability of the box having a toy = 13/18

Therefore, the probability of the box not having a toy:

The odds against an event is given as the ratio of the Number of unfavorable outcomes to number of favorable outcomes.

• Number of Unfavourable Outcomes = 5

• Number of favourable Outcomes = 13

Thus, the odds against the box having a toy is 5:13.