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1. What is the measure of angle A?

a. Expenses: Books and supplies, Housing and food, Tuition and fees, Transportation and Personal expenses. Funding: Savings,

Scholarships, Grants and Student loans.

b. Total estimated expenses are $29,400

(a) Below is an estimate of all her expenses and sources of funding for her 2-year college education.

Expense:

Books and supplies: $1700

Housing and food: $14,020

Tuition and fees: $11,660

Transportation: $2040

Personal expenses: $2980

Funding:

Savings: $7800

Scholarships: $10,240

Grants: $11,600

Student loans: $6200

(b) What is the total of her estimated expenses?

To find the total estimated expenses, we need to add up all the expenses mentioned:

$1700 + $14,020 + $11,660 + $2040 + $2980 = $29,400

Therefore, the total estimated expenses for Nicole's 2-year college education is $29,400.

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Answer:

220m

Step-by-step explanation:

l=85m

b=25m

perimeter=2(l+b)

2(85+25)

2(110)

=220m

perimeter is 220m

Answer:

Step-by-step explanation:

The distance around the field means the perimeter of the field

Since the field is rectangular

Perimeter of a rectangle = 2l + 2w

where l is the length

w is the width

From the question

l = 85m

w = 25m

Perimeter = 2(85) + 2(25)

Perimeter = 170 + 50

The final answer is

Perimeter = 220m

Hope this helps you

Answer:

A)20ac because if it takes him a minutes to run

The length of the side of the square in simplest form is 2sqrt(14).

The area of a square is given by the formula \(A = s^2\), where A is the area and s is the length of a side.

We are given that the area of the square is 56 units, so we can set up the equation:

\(56 = s^2\)

To solve for s, we can take the square root of both sides of the equation:

sqrt(56) = \(sqrt(s^2)\)

We can simplify the square root of 56 by factoring it:

sqrt(56) = sqrt(222*7) = 2sqrt(14)

So, we have:

2sqrt(14) = s

This is an improper fraction because the numerator is larger than the denominator. Therefore, the length of the side of the square in simplest form is 2sqrt(14).

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Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

The height of rectangular prism B is 5 yards.

Let's first find the volume of rectangular prism B:

The volume of the solid figure = Volume of prism A + Volume of prism B

180 = 75 + length × width × height of prism B

105 = length × width × height of prism B

We know that the length of prism B is 7 yards and the width is 3 yards,

Substitute those values:

105 = 7 × 3 × height of prism B

105 = 21 × height of prism B

height of prism B = 105/21

height of prism B = 5

Therefore, the height of rectangular prism B is 5 yards.

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Answer:

412.10 USD

Step-by-step explanation:

Answer:

B. False

Step-by-step explanation:

The two triangles have the same size and the same shape so they are congruent. The three angles on both the triangles are equal. Just that the triangles are upside down but they are all the same.

The logarithmic function f(x) = a·log₃(x - 4), passing through the points (13, 7), has the values;

5 a. The value of a is 3.5

b. Please find attached the graph of the function, f(x) = 3.5·log₃(x - 4), created with MS Excel

A logarithmic function is a function that contain and involves logarithm operation and it is the inverse of an exponential  function

The function is f(x) = a·log₃(x - 4),

x > 4 and a > 0

The coordinates of a point on the graph of the function, f is A(13, 7)

5 a. The value of a can be found by plugging in the value of (13, 7) = (x, f(x)), as follows

f(13) = 7 = a·log₃(13 - 4) = a·log₃9 = a·log₃3²

7 = a·log₃3²

7 = 2·a·log₃3 = 2·a·1 = 2·a

2·a = 7

a = 7 ÷ 2 = 3.5

a = 3.5

5 b. The coordinates of the x-intercept of the graph = (5, 0)

The equation of the function is;

f(x) = 3.5·log₃(x - 4)

A third point on the graph is given when f(x) = 14 as follows;

f(x) = 14 = 3.5·log₃(x - 4)

log₃(x - 4) = 14 ÷ 3.5 = 4

3⁴ = x - 4

x = 3⁴ + 4 = 85

Which gives the point, (85, 14)

Similarly, we have the point (31, 10.5), (7, 3.5)

Please find attached the graph of f(x) created with MS Excel

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Answer:

75

Step-by-step explanation:

it would be the same as it opposite side S because they are the same

Answer:

The student scores 20 pts

Step-by-step explanation:

A student answers 10 Q's correct, this earns the student 30 points (3 x 10)

The other 5 Q's are presumably wrong since they did answer the question

If every question wrong loses 2 pts then the student lost 10 points from wrong answers (2x5) =10

Take the total amount of secured points and subtract the points for questions that the student got wrong

30 pts - 10 pts = 20 pts

Answer:

20

Step-by-step explanation:

15 questions answered

10 are correct so they get 30 or 3*10

5 are incorrect so the get a -10 or -2*5

Total score is 30-10 or 20

As per the given equation of the least squares regression line y=10+0.9x the score of Carla's final exam is 95.5.

As given in the question,

Given equation of the least squares regression line is :

y = 10 + 0.9x

Where 'y' shows the predicted final exam score

And 'x' represents the score of the first exam.

Carla's first exam score is equal to 95

Then predicted value 'y' of the Carla's final exam score is given by :

y = 10 + ( 0.9 ) × 95

⇒ y = 10 + 85.5

⇒ y = 95.5

Therefore, the predicted final score of Carla's as per the given least squares regression line is equal to 95.5.

The above question is incomplete, the complete question is :

In a statistics course a linear regression equation was computed to predict the final exam score from the score

on the first test. The equation of the least-squares regression line was y=10+0.9x where y represents the predicted final exam score and x is the score on the first exam.

Carla scored 95 on the first test. What is the predicted value of the Carla's score on the final exam?

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The average rate of change of g(x) over the interval [-2, 4] is given as follows:

-0.5.

The average rate of change of a function is given by the change in the output divided by the change in the input.

The numeric values for the function are given as follows:

Hence the change in the outputs is of:

3 - 6 = -3.

The change in the inputs is of:

4 - (-2) = 6.

Hence the average rate of change is of:

-3/6 = -0.5.

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Answer:

where is the table

Step-by-step explanation:

The measure of the angle ∠A obtained from the congruency between the triangles ΔABC and ΔA'B'C', (formed by the rotation of ΔABC, which is a rigid transformation) is 40°

A rotation transformation is a rigid transformation of a pre-image by turning the pre-image about a fixed point or axis.

A rotation transformation is a rigid transformation and therefore, the distances between corresponding pairs of points is maintained such that the lengths of the corresponding sides of the pre-image and the image are congruent, therefore, the triangle ΔABC and the triangle ΔA'B'C' are congruent.

The angle ∠A in triangle ΔABC = 40°

The angle ∠C' in triangle ΔA'B'C' = 105°

Angle ∠A ≅ Angle ∠A' by Corresponding Angles of Congruent Triangles are Congruent, CACTC.

Therefore, ∠A = ∠A' (definition of congruency)

∠A' = ∠A = 40° (symmetric property)

The measure of angle ∠A = 40°

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Answer:

Step-by-step explanation:

hope this helps...

have a nice day

Answer:

6.28 m

Step-by-step explanation:

If a wheel travels with one full revolution, it would have travelled the circumference's distance from it's starting point.

The circumference of a circle is \(2\pi r\)

Let's assume \(\pi\) is 3.14 and solve for the equation.

\(2\cdot3.14\cdot1\\6.28\)

Hope this helped!

Before any lease payments, the lease liabilities on January 1, 2021, is Liability $1,282,994.04 and Annual Deposit = $92,633.22.

Liability is a general term that describes the condition of being accountable for a good or service that is owed to another person.

For instance, a homeowner's tax responsibility may be related to the property taxes he must pay to the civil government or the income taxes he must pay to the external government.

leasing fee:A lease payment is a type of annual rent that is technically required by a contract between two parties and gives one party the right to use the other party's fixed assets, such as computers, manufacturing equipment, software, or other real estate impacts, for a predetermined period of time.

Evaluation:FVAD of $1 table or calculator function

$530,000 in future worth

n = 5

I = 5.00%

divided by 6.1533, the FV factor

Deposit each year: $92,633.22

Check out the FVAD table.

PVAD of $1 in a table or calculator function

the sum of $133,000

n = 20

I = 10.00%

9.36492 PV factor multiplied

Amount Owed $1,282,994.04

Check out the PVAD table.

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The calculated value of the rate of the graph is 0.8

from the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

(0, -16) and (20, 0)

The rate of the graph is calculated as

Rate = Change in y/x

using the above as a guide, we have the following:

Rate = (0 + 16)/(20 - 0)

Evaluate

Rate = 0.8

Hence, the rate is 0.8

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The two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

To solve the system of equations, let's assign variables to the two integers. Let the first integer be represented by 'x' and the second integer by 'y'.

According to the given information:

a. Fourteen more than twice the first integer gives the second integer:

This can be expressed as: 2x + 14 = y

b. The second integer increased by one is the square of the first integer:

This can be expressed as: y + 1 = x^2

Now, we have a system of equations:

1) 2x + 14 = y

2) y + 1 = x^2

To solve this system, we can substitute the value of 'y' from equation 1) into equation 2):

2x + 14 + 1 = x^2

2x + 15 = x^2

Rearranging the equation, we have:

\(x^2 - 2x - 15 = 0\)

Factoring the quadratic equation, we get:

(x - 5)(x + 3) = 0

Setting each factor equal to zero:

x - 5 = 0   -->   x = 5

x + 3 = 0   -->   x = -3

Substituting the values of 'x' back into equation 1), we can find the corresponding values of 'y':

For x = 5:

2(5) + 14 = y

10 + 14 = y

y = 24

For x = -3:

2(-3) + 14 = y

-6 + 14 = y

y = 8

Therefore, the two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

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Answer:

1.3/20   2.4/20 or 1/5   3.9/27 or 1/3

Step-by-step explanation:

I hope this helped!

Answer:

a to u

Step-by-step explanation:

The value of the required missing angle is;

m<JKM = 35°

We know from geometry that the sum of angles in a triangle sums up to 180 degrees.

Now, we are trying told that in the given Triangle that the angle m<J = 55 degrees.

We also see that the angle <KMJ is equal to 90 degrees becasue it is a right angle.

Thus to find the angle m<JKM, we can write the name expression as;

m<JKM = 180 - (90 + 55)

m<JKM = 35°

Thus that's the value of the required missing angle.

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Answer:

-6/5

Step-by-step explanation:

I hope it helps, bye

The 6 number of muffins in each box if they all contain the same amount of muffins.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Jill made 20 muffins.

She put them into 3 boxes and has 2 muffins left.

That means,

muffins in the boxes =20 -2

                              = 18 muffins are in the boxes.

To find the number of muffins in each box if they all contain the same amount of muffins:

Divide the rest of the muffins to 3.

Number of muffins in the boxes / 3

= 18 / 3

= 6

Therefore, six muffins are in each box.

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The rate at which the volume of the cube is changing is 1200 in³/seconds.

Volume is the space occupied by a solid object.

To calculate the rate at which the volume of the cube is changing, we use the formula below.

Formula:

Where:

From the question,

Given:

If, the volume of a cube is V = L³,

Then,

Substitute these values into equation 1

Hence, the rate at which the volume is changing is 1200 in³/seconds.
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The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.

The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.

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