8. A writer earns $2 per word. The writer's total expense per project is $10. The project
pays up to a maximum of 800 words. Represent the writer's possible project profit,
using a graph.

Answer:

one

Step-by-step explanation:

althought the lines look parallel the

slope on the blue line is 1

slope on the red line is 3.5

therefor there is one solution

The department should offer 80 sections of finite math and 90 sections of applied calculus to fill all sections and accommodate all of the students.

Let x be the number of sections of finite math and y be the number of sections of applied calculus. Then we have:

x + y = 170   (total number of sections offered)

90x + 80y = 14400   (total number of students)

To solve for x and y, we can use elimination or substitution.

Let's use elimination by multiplying the first equation by 80 and subtracting it from the second equation:

90x + 80y = 14400
-80x - 80y = -13600
-----------------
10x = 800
x = 80

Now we can substitute x = 80 into either equation to solve for y:

80 + y = 170
y = 90

Therefore, the department should offer 80 sections of finite math and 90 sections of applied calculus to fill all sections and accommodate all of the students.

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The distance from Brad's house to the park is approximately 6.63 km. To solve the question, we'll need to use the information provided about Brad jogging and walking, and the total time taken for both trips.

Let d be the distance from his house to the park. Since we know the speeds at which Brad jogged and walked, we can use the formula:
time = distance/speed
The time taken jogging to the park would be (d/12) hours, and the time taken walking back would be (d/7) hours. According to the problem, the total time for both trips is 1.5 hours. Therefore:
(d/12) + (d/7) = 1.5
Now, we need to solve for d:
1. Multiply both sides by the least common multiple of 12 and 7, which is 84, to eliminate the fractions:
84(d/12) + 84(d/7) = 1.5 * 84
2. Simplify the equation:
7d + 12d = 126
3. Combine like terms:
19d = 126
4. Divide by 19:
d = 6.63 (approximately)
So, the distance from Brad's house to the park is approximately 6.63 km. Keep in mind the question asked for the distance to the gym, but the information provided was about Brad's trip to the park. Assuming it was a typo, the answer is 6.63 km.

We can start by using the formula:
distance = rate x time
Let d be the distance from Brad's house to the park. We know that he jogged to the park at 12km/hr, so the time it took him to get there can be expressed as:
time = distance/rate
time = d / 12
On the trip back, he walked the same route at 7km/hr, so the time it took him to get back can be expressed as:
time = distance/rate
time = d / 7
We also know that the total time for both trips was one and a half hours or 1.5 hours. So we can write an equation based on this information:
d/12 + d/7 = 1.5
To solve for d, we can first simplify the equation by finding a common denominator:
(7d + 12d) / (7 x 12) = 1.5
19d / 84 = 1.5
Multiplying both sides by 84 gives:
19d = 126
Dividing both sides by 19 gives:
d = 6.63 km
Therefore, the distance from Brad's house to the park (and gym, assuming that's what was meant in the question) is approximately 6.63 km.

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Answer:

Hey there!

-16h=16

Divide both sides by -16

h=-1

Hope this helps :)

Answer:

h = -1

Step-by-step explanation:

inverse operation:

16 = -16h

divide by -16 on both side

-1 = h

The probability of a Type II error is represented by beta. Thus, the correct answer is option B.

Beta represents the probability of failing to reject the null hypothesis when it is false.

On the other hand, Type I error (alpha) represents the probability of rejecting the null hypothesis when it is true. A Type II error occurs when a false null hypothesis is not rejected. Hence, beta is the probability of making a Type II error.

The null hypothesis is rejected when the p-value is less than or equal to the level of significance, not exceeds it.

The p-value is the probability of obtaining a result as extreme as or more extreme than the observed result when the null hypothesis is true. If the p-value is less than the level of significance, the null hypothesis is rejected, and vice versa.

Hence, the statement "The null hypothesis is rejected when the p-value exceeds the level of significance" is false.

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Answer:

Step-by-step explanation:

to be honest i dont know

The  7 steps of process in the hypothesis deduction Method are;

Scientists who formulate hypotheses (premises), derive conclusions, and test those conclusions refer to this process of verifying ideas as the "hypothetico-deductive method," according to philosophers and methodologists of science.

The hypothetico-deductive (HD) method, often known as the scientific method, is a cycle of inference and observation that is used to develop and evaluate hypothesized explanations for perplexing natural phenomena.

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Answer:

21

Step-by-step explanation:

Answer:7x+1

Step-by-step explanation:

1). Distribute: 9x-6-2x+7

2). Combine like terms: 9x+1-2x

3). Combine like terms: 7x+1

Answer:

You forgot the rest of the function, but if x is -2, then the function is represented by f(x)=-2x

If you supply more information the equation would be different.

Step-by-step explanation:

Answer:

The answer is D) f(x) = 1/3 x^2 -1

Step-by-step explanation:

the key is at the end, the minus 1

Answer:

The answer is D!

Step-by-step explanation:

Answer:

I think they are all always.

Step-by-step explanation:

They are called rational because they are the ratio, or quotient, of two integers

numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

If a square root is not a perfect square, then it is considered an irrational number. These numbers cannot be written as a fraction because the decimal does not end and does not repeat a pattern.

Answer:

165 and 166

Step-by-step explanation:

You can divide 331 by 2 to get 165.5. You then round down for one answer, 165, and round up for the other, 166. This evens out the rounding, and to check your answer you can add 165 and 166, which is 331.

The probability that the medication is effective in 45 of the 50 patients is approximately 0.0204, or 2.04%.

To calculate the probability that the medication is effective in 45 of the 50 patients, we can use the binomial distribution formula. The binomial distribution formula calculates the probability of getting a specific number of successes (in this case, effectiveness) in a fixed number of trials (in this case, patients).

The formula is:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where:

P(X=k) is the probability of getting k successes (45 in this case)

n is the number of trials (50 in this case)

k is the number of successes (45 in this case)

p is the probability of success in each trial (0.8 in this case)

Plugging in the numbers:

P(X=45) = (50 choose 45) * 0.8^45 * (1-0.8)^(50-45)

P(X=45) = (50 choose 45) * 0.8^45 * (1-0.8)^5

P(X=45) = 0.0204

So the probability that the medication is effective in 45 of the 50 patients is approximately 0.0204, or 2.04%.

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Answer:

K

Step-by-step explanation:

techincally, I don't know if I am right, but there is more than one answer. The boundries/restrictions of what length DF could be are 2.477 < x < 8.477

The equation can have no solution or as many solutions as possible

Terrence's conclusion that the equation has infinitely many solutions is false

The equation is given as:

101 - 6+ 2 = 4(3x - 1) - 2

Open the bracket

101 - 6+ 2 = 12x - 4 - 2

Collect the like terms

12x = 101 - 6+ 2 + 4 + 2

Evaluate the like terms

12x = 103

Divide both sides by 12

x =103/12

The above shows that the equation has one solution

Hence, Terrence's conclusion that the equation has infinitely many solutions is false

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the vector (2, -17, 13) is a nonzero vector orthogonal to the plane through the points P, Q, and R.

To find a nonzero vector orthogonal to the plane through the points P(3, 0, 3), Q(-2, 1, 4), and R(6, 2, 5), we can use the cross product of two vectors in the plane.

Let's first find two vectors in the plane. We can use the vectors PQ and PR.

PQ = Q - P = (-2, 1, 4) - (3, 0, 3) = (-5, 1, 1)

PR = R - P = (6, 2, 5) - (3, 0, 3) = (3, 2, 2)

Now we can take the cross product of PQ and PR to get a vector orthogonal to the plane:

N = PQ x PR

N = (-5, 1, 1) x (3, 2, 2)

N = (2, -17, 13)

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Answer:more cuz it says 3/4 much more

Step-by-step explanation:

Fraction 12 over 2 can be used to calculate the rate per second at which the machine launches the balls

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The x axis label is Time in seconds, and the x axis values are from 0 to 10 in increments of 2 for each grid line.

The y axis label is Number of Balls, and the y axis values from 0 to 60 in increments of 12 for each grid line

A line is shown connecting points on ordered pair (2, 12) and (4, 24) and (6, 36) and (8, 48)

m=24-12/4-2

m=12/2

Hence,  fraction 12 over 2 can be used to calculate the rate per second at which the machine launches the balls

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Answer:

y = 2x+1

Step-by-step explanation:

Given, the slope of a line is 2 and y-intercept is 5.

Here, m=2 and c=1.

The equation of the line in slope-intercept form is given by

              y=mx+c

∴             y=2x+1 is a required equation.

Not sure if it correct or not.

Answer:

1.175 liter

Step-by-step explanation:

Total quantity of soap = 2 liter

Quantity of soap put in the first container = 0.475 liter

Quantity of soap put in the second container = 0.35 liter

Quantity of soap remained in the bottle = Total quantity of soap - Quantity of soap put in the first container - Quantity of soap put in the second container

\(2-0.475-0.35=1.175\) liter.

Answer:

false

Step-by-step explanation:

absolute value turns the number positive

I-10I=10

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

Question: Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____

Current Progress: To express the given vector as a linear combination of u, v, and w, we need to find scalars a, b, and c such that (14, 9, 14) = a*u + b*v + c*w.

Step 1: Write the equation in component form:
(14, 9, 14) = (3a + b + 8c, a - b + 3c, 6a + 4b + 8c)

Step 2: Equate the corresponding components and solve for a, b, and c:
3a + b + 8c = 14
a - b + 3c = 9
6a + 4b + 8c = 14

Step 3: Solve the system of equations using any method (substitution, elimination, etc.). One possible solution is a = 1, b = -1, and c = 3.

Step 4: Plug the values of a, b, and c back into the linear combination equation:
(14, 9, 14) = 1*u + (-1)*v + 3*w

Step 5: Simplify the equation:
(14, 9, 14) = u - v + 3w

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

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Answer:kepler's 3rd law

Step-by-step explanation:

We need 20% of price

\(\\ \sf\longmapsto 0.20(52.50)\)

\(\\ \sf\longmapsto 52.50/5=10.5\)

Now SP

\(\\ \sf\longmapsto 52.5+10.5=63\$\)

Answer:

n = 3

Step-by-step explanation:

Hope this helps you! :))

Answer:

n= 3

Step-by-step explanation:

when there is a multiplication with the same base, you can rewrite the base and make the sum of the exponents

3^(5+n) = 3^8

5 +3 = 8

so n=3

Explanation:

The polynomial is given below as

Since all coefficients are integers, we can apply the rational zeros theorem.

The trailing coefficient (the coefficient of the constant term) is

Find its factors (with the plus sign and the minus sign):

The factors will be

These are the possible values for p

The leading coefficient (the coefficient of the term with the highest degree) is

Find its factors (with the plus sign and the minus sign):

The factors will be

These are the possible values for q

Find all possible values of

Next, check the possible roots: if aa is a root of the polynomial the remainder from the division will be zero

Check 1:

Check 2:

Hence,

The possible rational roots are

Hence,

This polynomial has no rational zeroes

Iterations are required to sort the array 10 23 14 35 17 15 16 using selection sort = 5

The selection sort algorithm sorts an array by repeatedly finding the minimum element (considering ascending order) from the unsorted part and putting it at the beginning.

The algorithm maintains two subarrays in a given array.

The subarray which already sorted.

The remaining subarray was unsorted.

In every iteration of the selection sort, the minimum element (considering ascending order) from the unsorted subarray is picked and moved to the beginning of unsorted subarray.

After every iteration sorted subarray size increase by one and unsorted subarray size decrease by one.

After N (size of array) iteration we will get sorted array.

Lets consider the following array as an example: array[] ={10 23 14 35 17 15 16}

{64, 25, 12, 22, 11}

First pass:

For the first position in the sorted array, the whole array is traversed from index 0 to 6 sequentially. The first position where 10 is stored presently, after traversing whole array it is clear that 10 is the lowest value.

  10      23       14      35       17      15         16

Thus, replace10 with 10. After one iteration 10, which happens to be the least value in the array, tends to appear in the first position of the sorted list.

10      23       14      35       17      15         16

Second Pass:

For the second position, where 23 is present, again traverse the rest of the array in a sequential manner.

 10      23       14      35       17      15         16

After traversing, we found that 14 is the second lowest value in the array and it should appear at the second place in the array, thus swap these values.

  10      14       23      35       17      15         16

Third Pass:

Now, for third place, where 23 is present again traverse the rest of the array and find the third least value present in the array.

  10      14       23      35       17      15         16

While traversing, 15 came out to be the third least value and it should appear at the third place in the array, thus swap 15 with element present at third position.

   10      14       15      35       17      23         16

Fourth pass:

Now, for fourth place, where 35 is present again traverse the rest of the array and find the fourth least value present in the array.

 10      14       15      35       17      23         16

While traversing, 16 came out to be the fourth least value and it should appear at the fourth place in the array, thus swap 16 with element present at fourth position.

10      14       15      16       17      23         35

Fifth Pass:

At last the largest value present in the array automatically get placed at the last position in the array

The resulted array is the sorted array.

 10      14       15      16       17      23         35

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Answer:

(-7, -1)

Step-by-step explanation:

The ratio is 1:4, the total is 1 + 5 = 5, so the partition is at 1/5 of the total length.

x2 - x1 = 25 - (-15) = 40

1/5 * 40 = 8

-15 + 8 = -7

x = -7

y2 - y1 = 15 - (-5) = 20

1/5 * 20 = 4

-5 + 4 = -1

y = -1

Answer: (-7, 1)

The journal entry on April 13, to record the payment of the amount owed would be: Debit Credit Account Receivable$2,637 (2% discount on $2,700) Cash$2,584 [(Cost of Merchandise - return) - discount] Cost of Merchandise$2,700 Inventory $2,700 (original price of merchandise purchased)

On April 5, Fair Coffee, Incorporated purchased merchandise with a list price of $2,700 and credit terms 2/10, n/30. On April 6, Fair Coffee returns $100 of the merchandise.On April 5, Fair Coffee, Incorporated purchased merchandise with a list price of $2,700 and credit terms 2/10, n/30. The company receives a discount of 2% if they pay within 10 days.On April 6, Fair Coffee returns $100 of the merchandise. The company will deduct the return amount from the cost of merchandise they will pay for.On April 13, the company is making payment of the amount owed. Since the company is eligible for a discount of 2% as they are paying within 10 days. The journal entry would be to debit the Account Receivable for the amount after deducting the discount and credit the cash account for the amount they are paying. The cost of merchandise purchased account would be credited with the original amount and inventory would be debited for the same amount.

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I think it's either A or B probably B is my guess though, it's weirdly worded so I'm not exactly sure what it's asking