7. Based on an exponential model of the data, what is the predicted value of Variable 2 when
Variable 1 = 2?
Round your answer to the nearest whole number.
Variable 1:
10
20
30
40
50
60
70
80
90
100
variable 2:
100
80
52
40
35
25
17
11
10
7

Answers

Answer 1

Answer:

  128

Step-by-step explanation:

You want a prediction for x=2 when the given data is modeled by an exponential model.

x = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100y = 100, 80, 52, 40, 35, 25, 17, 11, 10, 7

Model

A graphing calculator's exponential regression function models this data with the formula ...

  y = 135.7 · 0.9711^x

  y = 137.7 · 0.9711^2 ≈ 127.94 . . . . when x=2

This model gives a value for variable 2 of approximately 128 when variable 1 = 2.

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7. Based On An Exponential Model Of The Data, What Is The Predicted Value Of Variable 2 WhenVariable

Related Questions

T/F True Logistic Regression is applied when the Dependent Variable is of Continuous nature.

Answers

It is used in various fields, such as healthcare, marketing, and social sciences.

False. Logistic regression is used when the dependent variable is binary or categorical (i.e., a nominal or ordinal variable). It is not appropriate for continuous dependent variables.

Logistic regression models the probability of an event occurring, where the event is represented by a binary variable (such as yes/no, success/failure, etc.). The output of the logistic regression model is the probability of the event occurring given the values of the independent variables. This probability can take any value between 0 and 1.

The logistic regression model assumes that the log odds of the event occurring (i.e., the logarithm of the probability of the event divided by the probability of its complement) can be modeled as a linear function of the independent variables. The coefficients of this linear function are estimated using maximum likelihood estimation.

Overall, logistic regression is a commonly used technique in statistics and data analysis for modeling the probability of a binary or categorical outcome. It is used in various fields, such as healthcare, marketing, and social sciences.

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Complete the statement: triangle AED~triangle ____

And Find the value of X

Answers

The solution is the value of X is, x = 2.

Here, we have,

from the given diagram,

we get,

from triangle ABC,

AB = 5, AC = 6

and, From triangle ADE,

AD = 10, AE = 12

and, both has same angle A,

so, by SAS rule, both are congruent.

we get,

triangle AED ~ triangle ABC

now, we know that,

here, DE = 2 BC

so, x+12 = 2( 4x-1)

or, x+ 12 = 8x -2

or, x = 14/7

or. x= 2

Hence, the value of X is, x = 2.

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Graph the equation using the slope and the​ y-intercept.

Answers

To Graph the equation using the slope and the​ y-intercept is discussed below.

let us consider a equation of line slope intercept form is y= -1/2x - 1.

As, the general form of equation is

y= mx+ b

where m is the slope and b is y intercept

Here in the equation slope= -1/2 and intercept is -1.

To y intercept is value of y when x= 0 then the coordinate in the graph should be (0, -1).

Now, the slope show the change in y wrt to x here if 2 unit in x then 1 unit.

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netflix has a membership plan in which a person pays a flat fee of $10 plus $2 for each movie rented. Non members pay $4.50 for each movie rented. write a system of equations for each plan

Answers

Let x be the number of movies rented.

For the Netflix membership plan, the total cost C is given by:

C = 10 + 2x

For non-members, the total cost C is given by:

C = 4.5x

Therefore, the system of equations is:

C = 10 + 2x (Netflix membership plan)
C = 4.5x (non-members)

The table below shows the educational attainment of a​ country's population, aged 25 and over. Use the data in the​ table, expressed in​ millions, to find the probability that a randomly selected​ citizen, aged 25 or​ over, had .

Answers

The probability of selecting a citizen, aged 25 or over, who had 4 years of college will be 0.2455.

Given that:

The table below shows the educational attainment of a​ country's population, aged 25 and over.

The probability is given as,

P = (Favorable event) / (Total event)

The probability of selecting a citizen, aged 25 or over, who had 4 years of college will be given as,

P = 41 / 167

P = 0.2455

The probability will be 0.2455.

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The complete question is given below.

Hurry up please (time limit)

State the domain and range and tell if the graph is a function yes or no?
What’s the domain and range?

Answers

The graph in this problem is not a function, as it contains vertically aligned points.

The domain and the range are given as follows:

Domain: -3 ≤ x ≤ 3.Range: 1 ≤ y ≤ 3.

When does a graph represents a function?

A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y. Vertically aligned points mean that a value of x is mapped to multiple values of y, that is, a single input is mapped to multiple outputs which disqualify the relation as a function.

When we trace a vertical line through the circle, it would cross the circle at two points, meaning that the graph contains vertically aligned points, and thus, is not a function.

The domain and the range are defined as follows:

Domain: -3 ≤ x ≤ 3. -> values of x on the graph.Range: 1 ≤ y ≤ 3. -> values of y on the graph.

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Ms. Monti bought * adult tickets and y
children's tickets to an ice-skating show. She spent a total of $145. The equation below describes the relationship
between x and y.
25x + 15y = 145 The ordered pair (4, 3) is a solution of the equation. What does the solution
(4, 3) represent?
A Ms. Monti bought 4 adult tickets and
3 children's tickets. B Adult tickets cost $4 each and
children's tickets cost $3 each. C Ms. Monti spent $4 on adult tickets
and $3 on children's tickets. D The cost of 4 adult tickets equals the
cost of 3 children's tickets.

Answers

A Ms. Monti bought 4 adult tickets and 3 children's tickets.

The ordered pair (4, 3) represents the number of adult tickets and children's tickets that Ms. Monti bought. Since the equation 25x + 15y = 145 is true when x = 4 and y = 3, this means that Ms. Monti bought 4 adult tickets and 3 children's tickets, and spent a total of $145.

Compute the measures of center for both the boys and girls data. Describe their differences. Use the terms mean and median to justify your answer. 3) points

GIVING 100 PTS!

Answers

1.) The data I discovered for the Girls Is 50 which Is the median, And the mean Is 46.

For the boys Is 33 which Is the median, and the mean is 34.

2.) The difference Is, The girls Is 15-81 From the boys, The boys Is 0-75, This means the boys median would be less because their scores are less.

Answer:

1.) The data I discovered for the Girls Is 50 which Is the median, And the mean Is 46.

For the boys Is 33 which Is the median, and the mean is 34.

2.) The difference Is, The girls Is 15-81 From the boys, The boys Is 0-75, This means the boys median would be less because their scores are less.

Step-by-step explanation:

Credits to: 3dxnn

A show box measures 15 in. by 7 in. by 4 1/2 in. What is the surface of the box?

Answers

The surface area of the box is 408 square inches whose dimensions of the box are 15 in. by 7 in. by [tex]4\frac{1}{2}[/tex] in.

The formula for the surface area of a rectangular box is:

Surface Area = 2lw + 2lh + 2wh

where l, w, and h are the length, width, and height of the box.

Given that the dimensions of the box are 15 in. by 7 in. by [tex]4\frac{1}{2}[/tex] in., we have:

l = 15 in.

w = 7 in.

h = [tex]4\frac{1}{2}[/tex] in. = 9/2 in.

Substituting these values into the formula, we get:

Surface Area = 2lw + 2lh + 2wh

Surface Area = 2(15)(7) + 2(15)(9/2) + 2(7)(9/2)

Surface Area = 210 + 135 + 63

Surface Area = 408

Therefore, the surface area of the box is 408 square inches.

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What is the meaning of "the equation ax = b has a solution for every b ∈ H"?

Answers

In the given image, H is a non-empty set of complex numbers, a and b are complex numbers, and x is a variable.

"The equation ax = b has a solution for every b ∈ H" means that for any complex number b in the set H, there exists a complex number x such that the product of a and x is equal to b.

In other words, for every numbers of b in H, there exists a solution for x that satisfies the equation ax = b.

This statement has important implications in linear algebra and functional analysis, where it is used to define the concept of a surjective linear transformation in numbers. It also has applications in many areas of mathematics and science, including engineering, physics, and computer science.

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Jake and Rafael are training for a bike race. Jake is a beginner and starts by riding up a hill with a 7.9° incline. Rafael is more experienced and rides up a hill with an 18.3° incline. If Jake and Rafael ride 100 ft., how much more horizontal distance did Jake cover. A.4.1 ft. B.9.6 ft. C.17.7 ft. D. 19.2 ft.

Answers

Answer:

We can use trigonometry to solve this problem. The horizontal distance covered by each rider can be found by multiplying the distance they rode by the cosine of the angle of incline. The difference between the two distances will be the amount by which Jake covered less distance than Rafael.

For Jake:

Horizontal distance = distance * cos(angle of incline)

Horizontal distance = 100 ft * cos(7.9°)

Horizontal distance = 100 ft * 0.9925

Horizontal distance = 99.25 ft

For Rafael:

Horizontal distance = distance * cos(angle of incline)

Horizontal distance = 100 ft * cos(18.3°)

Horizontal distance = 100 ft * 0.9475

Horizontal distance = 94.75 ft

Difference in horizontal distance = 99.25 ft - 94.75 ft

Difference in horizontal distance = 4.5 ft

Therefore, Jake covered 4.5 ft more horizontal distance than Rafael. The closest option is A. 4.1 ft, but that is not the exact answer.

Step-by-step explanation:

hope this helps:)

determine the volume of a sphere with a radius of 4.75 inches round your answer to the nearest hundredth use 3.14 for pie.

Answers

Hi, the answer is 448.92

Answer:

Step-by-step explanation:

V≈448.92in³

r Radius = 4.75
V=4/3πr3=4/3·π·4.753≈448.9205in³

Is anyone good with Math or History

Answers

The probability of passing at least one will be 0.70.

We know that,

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

here, we have,

Probability of passing history course = 0.59

Probability of passing math course = 0.60

Probability of passing both courses = 0.49

so, we get,

Probability of passing at least one will be

⇒ 0.59 + 0.60 – 0.49

⇒ 0.70

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complete question:

A student is taking two courses, history and math. the probability the student will pass the history course is 0.59, and the probability of passing the math course is 0.60. the probability of passing both is 0.49. what is the probability of passing at least one?

New City Insurance Company offers a term life insurance policy with a renewable annual premium. The first year premium is $140. Premiums increase 6% each year. Round to the nearest cent. a. What will the premium be in the second year? b. What will the premium be in the third year? c. What will the premium be in the fifth year?

Answers

a. To find the premium for the second year, we need to increase the first year premium by 6%. We can do this by multiplying the first year premium by 1.06:

$140 * 1.06 = $148.40

Therefore, the premium for the second year is $148.40.

b. To find the premium for the third year, we need to increase the premium for the second year by 6%. We can do this by multiplying the premium for the second year by 1.06:

$148.40 * 1.06 = $157.30

Therefore, the premium for the third year is $157.30.

c. To find the premium for the fifth year, we can use the same method. We need to increase the premium for the fourth year by 6%. To find the premium for the fourth year, we can increase the premium for the third year by 6%:

$157.30 * 1.06 = $166.96

Now we can increase the premium for the fourth year by 6%:

$166.96 * 1.06 = $177.39

Therefore, the premium for the fifth year is $177.39

If someone could help me out with this I would be really grateful

Answers

Answer:

Step-by-step explanation:

Blue line: 0 + -4<x

Black line: 8 - 7<7

Orange: 0=0>y

Green: 1-9<y

Starting points and ending

cant be that hard but i didnt pay attention

Answers

∠ AFE is supplementary to ∠ AFB and the measure of ∠ AFE = 102⁰.

option A.

What is a supplementary?

Supplementary angles are the two angles that sum up to 180 degrees.

That is, if the sum of two angles is equal to 180 degrees, then the two angles are supplementary.

From the given diagram we can form the following equation;

∠ AFE + ∠ AFB = 180 (supplementary angles or sum of angles on a straight line )

∠ AFE = 180 - ∠ AFB

∠ AFE = 180 - 78

∠ AFE = 102⁰.

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Dingaka receives R12650R12650 when taking out a loan with an annual simple discount rate of 12,5%12,5%. The loan has to be repaid in eight months’ time. The amount that he has to repay is?​

Answers

Dingaka took out a loan of R12650 with a simple annual discount rate of 12.5%. He has to repay R11595.83 in eight months, after deducting the simple discount of R1054.17.

To find the amount that Dingaka has to repay, we can use the formula for simple discount

Simple Discount = Principal * Rate * Time

Where Principal is the original amount borrowed, Rate is the annual simple discount rate, and Time is the time period in years.

We know that Dingaka received R12650 as the principal amount and the annual simple discount rate is 12.5%, which is equivalent to 0.125 as a decimal. The time period is 8/12 = 2/3 years, since the loan has to be repaid in eight months' time.

Plugging these values into the formula, we get

Simple Discount = 12650 * 0.125 * 2/3

= 12650 * 0.08333333

= 1054.166625

Therefore, the amount that Dingaka has to repay is the principal minus the simple discount, which is

Amount to Repay = Principal - Simple Discount

= 12650 - 1054.166625

= 11595.833375

So, Dingaka has to repay R11595.83 after eight months.

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The volume of a cone is 109.95 cubic inches and the height is 4.2 inches. What is the radius of the cone?

Answers

The calculated radius of the cone is 5 inches

What is the radius of the cone?

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

Volume = 109.95 cubic inches

Height = 4.2 inches.

The volume is calculated as

V = 1/3 * 3.14 * r^2h

So, we have

1/3 * 3.14 * r^2 * 4.2 = 109.95

So, we have

r^2 = 3 * 109.95/(4.2 * 3.14)

So, we have

r^2 = 25.01

Take the square roots

r = 5

Hence, the radius is 5 inches

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A is a segment whose endpoints are the center of a circle and a point on the circle.

Answers

Diameter is the segment whose end points are on the circle and passing through the center of the circle.

Given a statement.

We have to find the term defined for the statement.

Given a circle.

The end points of the circle are on the circle.

Any line segment whose end points are on the circle is defined as the chord.

If a chord passes through the center of the circle, then it is called the diameter.

Hence the correct term is diameter.

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Your question is incomplete. The complete question must be probably the on as given below.

Identify the term.

A _____ is a segment whose end points are on the circle and passing through the center of the circle.

Enter the correct answer in the box.
What is the factored form of this expression?
2x^3+5x^2+6x+15
Write all factors in standard form.

Answers

Answer:

(2x + 5)(x² + 3)

------------------

Given expression:

2x³ + 5x² + 6x + 15

Group the expression as below and factorize:

2x³ + 5x² + 6x + 15 = (2x³ + 5x²) + (6x + 15) =x²(2x + 5) + 3(2x + 5) = (2x + 5)(x² + 3)

Hence the factored form of the expression is (2x + 5)(x² + 3).

The factored form of the expression is,

⇒ (2x + 5)(x² + 3).

Given that;'

The expression is,

⇒ 2x³ + 5x² + 6x + 15

Now, Group the expression as below and factorize:

2x³ + 5x² + 6x + 15

(2x³ + 5x²) + (6x + 15)

x²(2x + 5) + 3(2x + 5)

(2x + 5)(x² + 3)

Hence, the factored form of the expression is (2x + 5)(x² + 3).

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The applet has eight pairs of triangles. Each group member should choose 1–2 pairs of triangles. Use them to help you answer the following questions.

Which pair(s) of triangles do you have?
Can each pair be composed into a rectangle? A parallelogram?

Answers

I don't have access to the applet you are referring to. Can you please provide more information or context about the applet so I can better assist you?

Simplify the expression -2-17+12-(-14)
hurry 100 points and brainlyest

Answers

Step-by-step explanation:

k = a constant of proportionality

Putting m = 1kg, a = 1 ms-2

F becomes 1 N.

So, 1 N = 4 × 1kg × 1 ms-2

∴ k = 1

From equation (1), we have

F = ma

A sack of rice wieghs 50 kilos. What is the weight of 85 sacks of rice?

Answers

Answer:

4250 kilos

Step-by-step explanation:

b) Find the value of w. Sive each answer as an integer or as a fraction in its simplest form 4 cm A 7 cm 12 cm 3 cm B W cm 9 cm​

Answers

The calculated value of w from the similar triangles is 21/4

Calculating the value of w

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

Similar triangles A and B

Also from the similar triangles, we have the following proportional relation

4    7     12

3    W     9

Using the above as a guide, we have the following equation

4/3  =  7/W  =   12/9

So, we have

W * 12 = 7 * 9

Evaluate the products and divide both sides by 12

W = 21/4

Hence, the value of W is 21/4

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Which of the following functions are vertical translations of f(x)=√x?
Select all that apply.
A. K(x)=√√√-5+x
B. n(x) = -7+ √x
C. g(x)=√x -4
D. h(x)=3+√x
E. m(x)=√5x

Answers

The function that are vertical translations of f(x) are; (B), (C), and (D).

Given that f(x) = √x is the square root function.

We know that vertical translation of a function is a transformation that shifts the graph of the function up or down without changing its shape.

Option (A) K(x)=√√√-5+x is a vertical translation of f(x) because it shifts the graph of f(x) to the right by 5 and then applies three square root operations. so, it is not a vertical translation that shifts the graph up or down.

Option (B) n(x) = -7+ √x is a vertical translation of f(x) due to it shifts the graph of f(x) down by 7 units.

Option (C) g(x)=√x -4 is a vertical translation of f(x) since it shifts the graph of f(x) down by 4 units.

Option (D) h(x)=3+√x is a vertical translation of f(x) since it shifts the graph of f(x) up by 3 units.

Option (E)  m(x)=√5x is not a vertical translation of f(x) since it involves multiplying the input of f(x) by a constant factor of 5.

Therefore, the options that are vertical translations of f(x) are; (B), (C), and (D).

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i want to find inverse laplace help me pls.​

Answers

Answer:

MY OPINION IS (REALLLLLL)

Step-by-step explanation:

please tell methe cords of the answer

Answers

Answer:

(- 2, - 4 )

Step-by-step explanation:

4x - 3y = = 4 → (1)

3x + 3y = - 18 → (2)

adding the equations term by term will eliminate y

(4x + 3x) + (- 3y + 3y) = 4 - 18

7x + 0 = - 14

7x = - 14 ( divide both sides by 7 )

x = - 2

substitute x = - 2 into either of the 2 equations and solve for y

substituting into (2)

3(- 2) + 3y = - 18

- 6 + 3y = - 18 ( add 6 to both sides )

3y = - 12 ( divide both sides by 3 )

y = - 4

solution is (- 2, - 4 )

You want to purchase a new car in 4 years and expect the car to cost ​$76,000. Your bank offers a plan with a guaranteed APR of 4.5if you make regular monthly deposits. How much should you deposit each month to end up with ​$76,000 in 4​years?
Question content area bottom
Part 1
You should invest ​$

enter your response here each month.

Answers

- To purchase a new car in 4 years and expect the car to cost ​$76,000, you need to calculate how much money you need to deposit each month in a bank account that offers a guaranteed APR of 4.5%.

- You can use a formula called PMT to calculate the monthly deposit amount. PMT stands for payment and it is the amount of money you need to pay or deposit each period to achieve a certain future value.

- The formula for PMT is: PMT = ( FV * r) / [ ( (1+r)^n) - 1] where FV is the future value, r is the interest rate per period, and n is the number of periods.

- In your case, FV is $76,000, r is 0.045/12 (because the interest rate is 4.5% per year and there are 12 months in a year), and n is 4*12 (because you want to save for 4 years and there are 12 months in a year).

- Plugging these values into the formula, you get: PMT = (76000 * 0.00375) / [ ( (1+0.00375)^48) - 1] = 1449.72

- This means you should deposit $1449.72 each month to end up with $76,000 in 4 years.

I hope this helps you solve your problem.

In the last ten years, the population of Brazil has grown at an exponential rate of 0.9% per year to 205,822,685. If this rate continues, what will be the population in 10 more years? (Simplify your answer completely. Round your answer to the nearest whole number.)

Answers

Answer:

To find the population of Brazil in 10 more years, we can use the formula for exponential growth:

A = P(1 + r)^t

where A is the final amount, P is the initial amount, r is the annual growth rate as a decimal, and t is the number of years.

We know that the current population of Brazil is 205,822,685, and the annual growth rate is 0.9%. We want to find the population in 10 more years, so t = 10. Plugging in these values, we get:

A = 205,822,685(1 + 0.009)^10

Simplifying this expression, we get:

A = 205,822,685(1.009)^10

A = 237,832,190.44

Rounding this to the nearest whole number, we get:

A = 237,832,190

Therefore, the population of Brazil in 10 more years will be approximately 237,832,190.

Step-by-step explanation:

3 dependent events. A bag contains ten balls. Six of the balls are green. A ball is chosen at random. The ball is replaced and then a second ball is chosen at random. Work out the probability that: a)both balls are green b)neither ball is green​

Answers

The Probability of both balls being green is  0.36 or 36%

b) The Probability of neither ball being green is 0.16 or 16%

What is the Probability  about?

Based on question A,  To find the probability that both balls are green, we use the equation below:

P (both green) = P (first green) x P (second green)

= (6/10) x (6/10)

= 36/100

= 9/25

=0.36

b) To find the probability that neither ball is green,  we use the formula below:

P (neither green) = P (first not green) x P (second not green)

= (4/10) x (4/10)

= 16/100

= 4/25

=0.16.

Therefore, the statement will be:  The Probability of both balls being green: 0.36 and the probability of neither ball being green is 0.16

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Consider the inner product (f, g) = integral -1 to 1, f(x)g(x) dx on P2, the vector space of all polynomials of degree 2 or less. Find the projection of f = x^2 + 5x onto the subspace W of P2 spanned by the orthonormal basis (g1, g2), where g1=1/2 and g2 = (3/2). Proj w(f) = _____ Which family of planes act as dislocation slip planes in an HCP metal? Use the three Miller index notation for this problem.A) {100}B) {110}C) {112}D) {111}E) {001} which of the following is a fixed cost? group of answer choices direct materials direct labor straight-line depreciation wages of part-time employees A woman who is in her first trimester of pregnancy with vaginal bleeding asks, "Do you think I am losing my pregnancy?" how to respon this? According to Perry (1970), what best captures the thinking of students in the beginning of their college journey?A) Recognizes multiple perspectivesB) Information is right or wrongC) Opinions matter the mostD) Negative thinking dominates Suppose that you were a knight. Write a code of chivalry for yourself. For example, your code might start, I promise to be loyal to the Church and my lord. On December 1, 2021, your company borrowed $42,000, a portion of which is to be repaid each year on November 30. Specifically, your company will make the following principal payments: 2022, $5,600; 2023, $8,400; 2024, $11,200; and 2025, $16,800. Show how this loan will be reported in the December 31, 2022 and 2021 balance sheets, assuming principal payments will be made when required. Balance Sheet (Partial) As of December 31 2022 2021Total Liabilities S 0 $ 0 When you hear a tone of 200 Hz, the hair cells in the cochlea begin vibrating 200 times per second. This is the idea behind the ________.A. temporal theory of hearingB. tympanic theory of hearingC. place theory of hearingD. volley principle of hearing To respond to the challenges of shortages of personal protection equipment (PPE) during the covid 19 pandemic, Ford motor company of Southern Africa (FMCSA) set up a completely new entity and commenced production of 57000 protective a face shields the strategy adopted by FMCSA to produce PPE during the pandemic is known as Why are visually interesting effects, such as WordArt, to be used sparingly? How does understanding your intended audience's expectations inform how and when you use a visual effect, such as WordArt? Would you approach using WordArt in the same way in a presentation directed to young adults and a presentation directed to business professionals? Why or why not? Write in complete sentences. 10) Pyruvic acid is a product ofA) the Krebs cycle.B) fermentation.C) glycolysis.D) the Entner-Doudoroff pathway.E) both glycolysis and the Entner-Doudoroff pathway. Bob has a bag of jelly beans. There are 5 red jelly beans and 6 blue jelly beans in the bag. Write a ratio that compares the number of red jelly beans to the number of blue jelly beans.Group of answer choicesA. 6:5B. 5:6C. 5:11 the proportion of the general population that reports some symptoms of insomnia during any given year is A blockage in which of these vessels could cause a myocardial infarction in the lateral right side of the heart?a. anterior interventricular arteryb. circumflex arteryc. posterior interventricular arteryd. right marginal artery Which statement has a correctly placed modifier? O Running quickly through the woods, Adam tripped over a tree branch. O Running quickly through the woods, the branch of a tree tripped Adam. O The tree branch, running through the woods, tripped Adam. O The tree branch tripped Adam running quickly through the woods. Arc/Angle measures I need help with this The number of runs scored by the Lions for six games is shown below.5, 8, 1, 5, 2, 7If the Lions scored 14 runs in their seventh game, which of the following statements is true?OA. The median increases and the mean remains the same.OB. The mean increases and the median remains the same.OC. The mean and the median both increase.OD. The median and the mean both remain the same. Identify the fractions labeled with the letters A and B on the scale below. When an ELL student gives a partially correct answer to Mr. Garcia's question, Mr. Garcia says, "Nice work! Can you tell me more?" Mr. Garcia is usingA) differentiated instruction. B) response to intervention.C) response protocol. D) None of the above AttemptsDo No Harm/28. Inflation-induced tax distortionsDmitri receives a portion of his income from his holdings of interest-bearing U.S. government bonds. The bonds offer a real interest rate of 4.5% peryear. The nominal interest rate on the bonds adjusts automatically to account for the inflation rate.The government taxes nominal interest income at a rate of 10%. The following table shows two scenarios: a low-inflation scenario and a high-inflation scenario.Given the real interest rate of 4.5% per year, find the nominal interest rate on Dmitri's bonds, the after-tax nominal interest rate, and the after-taxreal interest rate under each inflation scenario.Inflation Rate Real Interest Rate Nominal Interest Rate After-Tax Nominal Interest Rate After-Tax Real Interest Rate(Percent)(Percent)(Percent)(Percent)(Percent)3.04.59.54.5Compared with lower inflation rates, a higher inflation rate willnominal interest income. This tends tothe economy's long-run growth rate.saving, therebythe after-tax real interest rate when the government taxesthe quantity of investment in the economy and