1. Joe needs to have at least an 80 average for the semester. His teacher uses 4 grades to
determine the average. If he already has grades of 75, 82, and 71, what must his final
grade be to meet this goal?
A. 80
B. 82
C. 85
D. 92
E. It is impossible for him to average an 80.

Answer:

The graph of y = f(x) will shift up 20 units

Step-by-step explanation:

The y-value increases, therefore, the graph is shifting upwards. If the y-value was decreasing, the the graph would have shifted downwards.

Answer:

  a = 3

Step-by-step explanation:

The triangles are similar, so the ratio of short side to long side is the same for each:

  (a +5)/12 = 12/18

  a +5 = 12(12/18) = 8 . . . . . multiply by 12

  a = 3 . . . . . . subtract 5

1. Angles BAP and CAP are congruent by the definition of the angle bisector theorem.

2. Segment AP is congruent to itself by the reflexive property.

The angle bisector of a triangle divides a triangle into two parts, from an angle, and the angle is divided into two equal parts.

The bisected angle in this problem is given as follows:

Angle A.

The two new angles are given as follows:

<BAP and <CAP.

Hence they are congruent by the definition of the angle bisector theorem, and congruent is the word that completes the blank for item 1.

For item 2, the reflexive property is the property that states that a segment is always congruent to itself. Hence the reflexive property is the work that completes the blank for item 2.

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1) given

2) corresponding angle theorem

3) vertical angle theorem

4) transitive

ANSWER

EXPLANATION

First, we have to find the total sum of 7/8 and 5/9.

That is:

Now, we subtract 5/6 from that.

That is:

That is the answer.

Answer:

To find the area of the trapezoid-shaped playground, we need to use the formula:

Area = (1/2) × (base1 + base2) × height

In the given diagram, the length of the top base is 24 feet, the length of the bottom base is 48 feet, and the height is 52 feet.

So, the area of the playground is:

Area = (1/2) × (24 + 48) × 52

= (1/2) × 72 × 52

= 1,872 square feet

Therefore, the area of the playground is 1,872 square feet.

The closest option to this answer is option B, which is 1,768 square feet. However, the correct answer is actually 1,872 square feet.

Answer:

d

Step-by-step explanation:

The mean is mathematically given as given as

Mean = 43 minutes

Mean = $47

This is further explained below.

Generally, Cell phone usage Mon to Sun = 38, 62, 40, 10, 30, 55, 65

Mean = (38+62+40+10+30+ 55 + 65)/7

Mean = 43 minutes rounded

Water bills  Mean from Jan to Dec =

40+42+40+38+48+50+58+62+56+46+44+44=568

Mean = (568)/12

Mean = $47 rounded

In conclusion, the mean is

Mean = $47

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Answer:

perseveration

Step-by-step explanation:

The term you are looking for is "perseveration."

Answer:

1478

Step-by-step explanation:

54 x 27= 1,478

The difference between the circumference of the outer circle with a radius of 2 meters and the circumference of the inner circle with a radius of 18 meters can be calculated by subtracting the circumference of the inner circle from the circumference of the outer circle, both expressed in terms of π.

The circumference of a circle can be calculated using the formula C = 2πr, where C represents the circumference and r represents the radius of the circle. In this case, we have an outer circle with a radius of 2 meters and an inner circle with a radius of 18 meters.

The circumference of the outer circle is given by:

C_outer = 2π(2) = 4π meters

The circumference of the inner circle is given by:

C_inner = 2π(18) = 36π meters

To find the difference between the circumferences, we subtract the circumference of the inner circle from the circumference of the outer circle:

Difference = C_outer - C_inner = 4π - 36π = -32π

Therefore, the difference between the circumferences of the outer and inner circles is -32π meters.

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Answer:

k = - 8

Step-by-step explanation:

given that (x - a) is a factor of f(x) , then f(a) = 0

given

(x - 1) is a factor of f(x) then f(1) = 0 , that is

3(1)³ + 5(1) + k = 0

3(1) + 5 + k = 0

3 + 5 + k = 0

8 + k = 0 ( subtract 8 from both sides )

k = - 8

Using the binomial distribution, it is found that the mean for the number of people with the genetic mutation in such groups of 800 is of 72

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem, we have that:

About 9% of the population has a particular genetic mutation, hence p = 0.09

800 people are randomly selected, hence n = 800.

Then, the mean is given by:

E(X) = np = 800 x 0.09= 72

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Answer:

u need to substitute (-8,5) in the equation because the line passses through that point

Answer:

2466181 is the answer

Kosma used 242 cups of water in total

Kosma is cooking a lamb stew

The recipe uses 12 cups of water per person

She is cooking for 9 people, the number of cups used is calculated by multiplying 12 by 9

= 12 × 9

= 108

She added extra 134 cups of water as she noticed that she will be needing a little extra stew

Total number of cups of water used

= 134 + 108

= 242

Hence Kosma used 242 cups of water for the stew

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Answer:

Step-by-step explanation:

The next term of a Fibonacci sequence is generated by taking the sum of the 2 preceding value of the sequence. Given the the first and third term of a Fibonacci sequence to be x and y

x, _, y...

let the second term be a, fourth term be b and fifth term be c to have the sequence;

x, a, y, b, c...

According to the definition;

x+a = y... 1

a+y = b... 2 and;

y+b = c... 3

From equation 1, a = y-x

Substituting a = y-x into equation 2 to get b we have;

(y-x)+y = b

2y-x = b

b = 2y-x

Substituting b = 2y-x into equation 3 to get 'c'

y +  2y-x = c

3y-x = c

c = 3y-x

The second term of the sequence is y-x

The fourth term of the sequence is 2y-x

The fifth term of the sequence is 3y-x

Answer:

Hence the positive numbers are 246, and 41

(246, 41)

Step-by-step explanation:

From the question,

Let the first positve number be \(x\)

and the other number be \(y\)

Hence,

\(x = 6y\) ....... (1)

Also,

That is,

\(x - y =205\) ........(2).

To solve for the two unknowns, substitute the value of \(x\) in equation (1) into equation (2).

Since,

\(x = 6y\)

Then

\(x - y =205\) becomes

\((6y) - y =205\\\)

Then,

\(6y - y = 205\\5y = 205\\\)

Divide both sides by 5

\(\frac{5y}{5} = \frac{205}{5} \\ y = 41\\\)

∴ the value of \(y\) is 41

Now, substitute the value of y into equation (1) to find \(x\)

Then,

\(x = 6y\) becomes

\(x = 6(41)\\x = 246\\\)

∴ the value of \(x\) is 246

Hence the positive numbers are 246, and 41

(246, 41)

Answer:

hello there i think the answer is c

Step-by-step explanation:

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

answer =

y = kx ⇒

k = y/x = 5/7

Answer:

Step-by-step explanation:

1,2,4

The y-intercept of the equation y = 4x - 2/3 is 2/3.

Answer:

y- intercept = - \(\frac{2}{3}\)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x - \(\frac{2}{3}\) ← is in slope- intercept form

with y- intercept c = - \(\frac{2}{3}\)

Answer:

B (-4, -5)

Step-by-step explanation:

A midpoint has to be exactly in the middle making the line split equally. I used Desmos to get my answer (it's a graphing calculator). And the line was slanted. Hope it's right! Plz tell is not!

The mean of the length of insects Polly found is estimated to be 14.5 millimetres.

To calculate for the mean, we evaluate for the midpoints and multiply the each to the respective frequency, the sum of the multiples of the midpoint and frequency divided by the total frequency gives the mean

midpoint for 0<x≤10 = (1 + 10)/2 = 5.5

midpoint for 10<x≤20 = (11 + 20)/2 = 15.5

midpoint for 20<x≤30 = (21 + 30)/2 = 25.5

mean = (5.5 × 7 + 15.5 × 8 + 25.5 × 5)/20

mean = (38.5 + 124 + 126.5)/20

mean = 290/20

mean = 14.5

Therefore, the mean of the length of insects Polly found is estimated to be 14.5 millimetres.

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The winner of the election got 26320 votes.

Let's first find the total number of votes cast in the election. We know that 2/3 fraction of the electors voted for the first candidate and 1/4 of the electors voted for the second candidate. Therefore, the remaining 1/12 of the electors voted for the third candidate. So, we have:

2/3 + 1/4 + 1/12 = 8/12 + 3/12 + 1/12 = 12/12 = 1

This means that all the electors voted, and the total number of votes cast is equal to the total number of electors.

Now, let's find the number of votes the third candidate got, which is 1/12 of the total number of votes. We know that this is equal to 3290. So, we have

1/12 x Total Number of Votes = 3290

Multiplying both sides by 12, we get:

Total Number of Votes = 3290 x 12 = 39480

Now, we can find the number of votes the first candidate got, which is 2/3 of the total number of votes. We have:

2/3 x Total Number of Votes = 2/3 x 39480 = 26320 votes

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Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

Given:

Payment required at the end of each year: P50,000

Number of years until the daughter starts college: 8

Interest rate: 7% (compounded annually)

We can calculate the annual savings using the formula for the present value of an ordinary annuity:

P = \dfrac{PMT \times (1 - (1 + r)^{-n}{r}

Where:

P = Present value (amount to be saved annually)

PMT = Payment amount (P50,000)

r = Interest rate per period (7% or 0.07)

n = Number of periods (8)

Let's substitute the given values into the formula:

\[ P = \dfrac{50,000 \times (1 - (1 + 0.07)^{-8}{0.07} \]

Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

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What do you mean? Like what do you mean doing math outside?

Based on the survey results, a typical parent would spend around $44 on their child's birthday gift, with a margin of error of approximately $2.9 at a 99% confidence level.

To estimate how much a typical parent would spend on their child's birthday gift, we use the sample mean and standard deviation as estimates of the population parameters. The sample mean of $44 serves as the point estimate for the population mean.

To determine the margin of error, we use the standard error, which is the standard deviation divided by the square root of the sample size. In this case, the standard error is approximately $2.5 (standard deviation of $10 divided by the square root of 20). Multiplying the standard error by the critical value corresponding to a 99% confidence level (z-value of 2.58 for a large sample size) gives us the margin of error.

Therefore, the typical amount spent on a child's birthday gift is estimated to be $44, with a margin of error of approximately $2.9. This means that we can be 99% confident that the true mean amount spent by parents falls within the range of $41.1 to $46.9.

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The law of conservation of energy and momentum can be used to construct the equation that connects the initial release height of block x (hx) and the speed of the two-block system following the collision (v s).

Block x's initial kinetic energy (0.5 * m x * v x2) and potential energy (m x * g * hx) are both equal to the total kinetic energy of both blocks after the collision (0.5 * (m x + m y) * v s).

Combining everything, we get the following equation:

m x * g * hx + 0.5 * m x * v x2 = 0.5 * (m x + m y) * v s2.

where g is the acceleration brought on by gravity, v x is the starting speed of block x, and m x and m y are the masses of blocks x and y.

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