can someone please help!

Can Someone Please Help!

Answers

Answer 1

The predicted number of downloads in 2024 is about 198.8 million.

We are given that;

The table

Now,

To find the line of best fit for the given data points, you can use a linear regression calculator. A linear regression calculator will give you the equation of the line that minimizes the sum of squared errors between the data points and the line. The equation will be in the form of Y = m X + b, where Y is the response variable, X is the predictor variable, m is the slope, and b is the intercept. Using one of the calculators1, I got the following equation for the line of best fit:

Y = 98.05 X - 195610

To predict the number of downloads in 2024, you can plug in X = 2024 into the equation and get:

Y = 98.05 (2024) - 195610

Y = 198.8 million

Therefore, by probability the answer will be  198.8 million.

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Related Questions

Which ordered pair is on the graph of the equation 6 + 3 = 9 ?
a) (0,5)

b) (−2,7)

c) (0, −5)

D)(2,7)

Answers

Answer:

D

Step-by-step explanation:

Let's break this down step-by-step:

1) The equation given is: 6 + 3 = 9

2) This simplifies to: 6 = 9 - 3 => 6 = 6

3) Any ordered pair (x,y) that satisfies this equation must have:

x = 6 (because x = 6)

4) Looking at the options:

a) (0,5) : x does not equal 6, so this is not the solution

b) (−2,7) : x does not equal 6, so this is not the solution

c) (0, −5) : x does not equal 6, so this is not the solution

d) (2,7) : x equals 6, so this is the solution

Therefore, the ordered pair that satisfies the equation 6 + 3 = 9 is (d) (2,7).

The correct choice is d.

what is 10 x 567 divded by 2 x 45

Answers

Answer:

63

Step-by-step explanation:

Answer: 63

Step-by-step explanation: First, you would do 10 x 567.

10 x 500 = 5000

10 x 60 = 600

10 x 7 = 70

5000 + 600 + 70 = 5670

Next, you find out 2 x 45.

2 x 45 is equivalent to 45 + 45.

45 + 45 = 90

Finally, you divide the product by the product - 5670 divided by 90.

The answer to that is 63.

Evaluate yz + x² x=3.2, y=6.1, z=0.2

Answers

Answer:

Step-by-step explanation:

To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:

yz + x²

Substituting the given values, we get:

(6.1 * 0.2) + (3.2^2)

This simplifies to:

1.22 + 10.24

Therefore, the value of the expression is approximately 11.46.

11.46

gimme brainlyest gang

Find the distance from (-6, 1) to (-3, 5).

Answers

Answer:

9.8 units

Step-by-step explanation:

distance = sqrt (x2 - x1)^2 + ( y2 - y1)^2

sqrt (-3 - (-6))^2 + (5 - 1)^2

sqrt (9)^2 + (4)^2

sqrt 81 + 16

sqrt 97

9.848857802

If the ratios of the volumes of two cones are 216:64, and the larger cone's height is 20in, what is the height of the smaller cone to the nearest inch?

Answers

Answer:

13 inches (to nearest inch)

Step-by-step explanation:

if volumes are in ratio 216:64, then lengths/heights must be in ratio

∛216: ∛64

= 6:4.

this can be simplified to 3:2.

3/2 = 1.5.

that means the height of larger cone is 1.5 times taller than height of the smaller cone.

let's call height of smaller cone d.

20 = 1.5d

d = 20/1.5

= 13.33

= 13 inches (to nearest inch)

Mrs. Brim made a chart to see how long it took her students to finish a test. How many students took more than thirty minutes to finish the test?

Answers

Answer:

As, this question is incomplete and without data we can not answer this question. But we can make it complete by adding our own values. Let's do it and calculate.

Average Time = 23.4 minutes is the time that Mrs Brim wanted to see.

Step-by-step explanation:

As, this question is incomplete and without data we can not answer this question. But we can make it complete by adding our own values. Let's do it and calculate.

Let's suppose, there are 10 students in the class of Mrs. Brim and she took 5 tests on subsequent days and made chart to know the average time her students took to solve the test.

Total time of test = 30 minutes

Average time taken by the students to solve the test on Day 1 = 25 minutes.

Average time taken by the students to solve the test on Day 2 = 27 minutes.

Average time taken by the students to solve the test on Day 3 = 22 minutes.

Average time taken by the students to solve the test on Day 4  = 23 minutes.

Average time taken by the students to solve the test on Day 5 = 20 minutes.

Average Time in all Tests = Sum of all times / total number of days

Average Time = (25 + 27 + 22 + 23 + 20) / 5 days

Average Time = 117/5

Average Time = 23.4 minutes is the time that Mrs Brim wanted to see.

Rationalize the denominator and simplify.

Rationalize the denominator and simplify.

Answers

i need to answer question hold up

Answer: See below

Step-by-step explanation:

\(\begin{array}{l}\frac{\sqrt{a+1}-2}{\sqrt{a+1}+2}\\\\=\frac{(\sqrt{a+1}-2)(\sqrt{a+1}-2)}{(\sqrt{a+1}+2)(\sqrt{a+1}-2)}\\\\=\ \frac{(\sqrt{a+1}-2)^2}{(\sqrt{a+1})^2-2^2}\\\\=\frac{(\sqrt{a+1}-2)^2}{a-3}\end{array}\)

a new crew of painters can paint a small apartment in hours. an experienced crew can paint the small apartment in hours. how many hours does it take to paint the apartment when the two crews work together? it takes blank hours to paint the apartment when the two crews work together. the solution is

Answers

Let's say the new crew of painters can paint the small apartment in x hours, and the experienced crew can paint the small apartment in y hours. Let the time taken by the new crew of painters to paint the small apartment be N hours, and the time taken by the experienced crew be E hours.

We are supposed to find the time it takes for both crews to paint the apartment together.

Step 1: Find the work rate of each crew.
The new crew's work rate is 1/N (apartments painted per hour).
The experienced crew's work rate is 1/E (apartments painted per hour).

Step 2: Calculate the combined work rate of both crews.
Combined work rate = New crew's work rate + Experienced crew's work rate
Combined work rate = (1/N) + (1/E)

Step 3: Find the time it takes for both crews to paint the apartment together.
Let T be the time it takes for both crews to paint the apartment together. Their combined work rate can be expressed as the reciprocal of T.

1/T = (1/N) + (1/E)

Step 4: Solve for T.
T = 1 / [(1/N) + (1/E)]

So, it takes T hours to paint the apartment when the two crews work together. Once you know the specific values of N and E, you can plug them into the equation and solve for T to find the solution.

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The weekend Jerome earned 252. 50 in all. What was the dollar amount of the meals that Jerome served? Jerome served worth meals

Answers

The total amount of meals in dollars served by Jerome is equals to $1150.

Total amount Jerome earned this weekend = $252.50.

Jerome earned every weekend = $80.

Jerome earned cost of meals as tips by serving them = 15%

Let us consider the dollar amount of the meals that Jerome served 'x'.

Jerome earned a total of $252.50 for the weekend,

which consists of his earnings from the meals and his flat rate earnings.

Set up an equation to represent this,

x × 0.15 + 80 = 252.50

Simplifying this equation by subtracting 80 from both sides, we get,

⇒ 0.15x = 172.50

⇒ x = 1150

Therefore, the dollar amount of the meals that Jerome served was $1150.

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The above question is incomplete, the complete question is:

The weekend Jerome earned 252. 50 in all. What was the dollar amount of the meals that Jerome served? Jerome served worth meals this weekend. Jerome earns 15%percent off all the costs of meal on all meals and he earns 80 dollars every weekend

Supergym is a natural chain of gyms. it's employees sold 5,190 gym memberships last year. this year, they sold 70% more memberships than that. how many memberships did they sell this year?

Answers

Super Gym employees sold 8,823 gym memberships this year, 70% more than the 5,190 gym memberships last year.

In mathematics, a percentage, usually denoted by %, is a number or ratio that represents a fraction of 100.

If the problem states that the gym's employees sold 70% (70 percent) more memberships than last year, and it's employees sold 5,190 gym memberships last year, then

memberships this year = 70% more than last year

memberships this year = 70%(5,190) + 5,190

memberships this year = 3,633 + 5,190

memberships this year = 8,823

Hence, the gym's employees sold 8,823 memberships this year.

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For each of the conservative vector fields below, find a potential function f.
(1) F=4yzi+4xzj+4xyk : f =
(2) F=8xyi+(4x2+8yz)j+4y2k : f =

Answers

(1) The potential function for conservative vector field F=4yzi+4xzj+4xyk is f=4xyz+C. (2) The potential function for F=8xyi+(4x^2+8yz)j+4y^2k is f=4x^2y+4y^3/3+C.

To find a potential function f for a conservative vector field F, we need to find a scalar function whose gradient is equal to F. That is, we need to find a function f(x, y, z) such that:

∇f = F

where ∇ is the gradient operator. To do this, we can find the potential function by integrating each component of F with respect to its corresponding variable.

(1) F = 4yz i + 4xz j + 4xy k

∂f/∂x = 4yz

∂f/∂y = 4xz

∂f/∂z = 4xy

Integrating the first equation with respect to x, we get:

f = ∫4yz dx = 4xyz + C1(y, z)

where C1(y, z) is an arbitrary constant of integration that depends on y and z.

Taking the partial derivative of this expression with respect to y, we get:

∂f/∂y = 4xz + ∂C1/∂y

Comparing this with the second component of F, we see that ∂C1/∂y = 0, so C1(y, z) must be a constant with respect to y.

Similarly, taking the partial derivative of the expression for f with respect to z, we get:

∂f/∂z = 4xy + ∂C1/∂z

Comparing this with the third component of F, we see that ∂C1/∂z = 0, so C1(y, z) must be a constant with respect to z as well.

Therefore, the potential function for F is:

f = 4xyz + C

where C is a constant.

(2) F = 8xy i + (4x^2 + 8yz) j + 4y^2 k

∂f/∂x = 8xy

∂f/∂y = 4y^2

∂f/∂z = 8yz

Integrating the first equation with respect to x, we get:

f = ∫8xy dx = 4x^2y + C1(y, z)

where C1(y, z) is an arbitrary constant of integration that depends on y and z.

Taking the partial derivative of this expression with respect to y, we get:

∂f/∂y = 4x^2 + ∂C1/∂y

Comparing this with the second component of F, we see that ∂C1/∂y = 4y^2, so we integrate this with respect to y:

C1(y, z) = 4y^3/3 + C2(z)

where C2(z) is an arbitrary constant of integration that depends on z.

Similarly, taking the partial derivative of the expression for f with respect to z, we get:

∂f/∂z = 8yz + ∂C1/∂z

Comparing this with the third component of F, we see that ∂C1/∂z = 0, so C2(z) must be a constant with respect to z.

Therefore, the potential function for F is:

f = 4x^2y + 4y^3/3 + C

where C is a constant.

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A book sold 35,500 copies in its first month of release. Suppose this represents 9.9% of the number of copies sold to date. How many copies have been sold to date?

Round your answer to the nearest whole number.

Answers

Answer:

Step-by-step explanation:

smelly a becasue

358,586 books

because:
35,500=9.9%

9.9%(10.1010101)=100%
^ we know this because 100/9.9=10.1010101

so to keep the ratio 35,500 must also be multiplied by 10.1010101

35,500(10.1010101)=358,585.859 round to nearest whole number so its 358,586

Alessandra is conducting a hypothesis test and states that there will be a change for the general population and that the independent variable will have an effect on the dependent variable. This is an example of a. Independent-measures t-test b.Null hypothesis c. Alternative hypothesis d. Repeated-measures t-test

Answers

Alessandra's statement corresponds to the alternative hypothesis (c) in a hypothesis test, suggesting a change or effect of the independent variable on the dependent variable.

The statement made by Alessandra regarding a hypothesis test suggests the use of an alternative hypothesis (c). In hypothesis testing, the alternative hypothesis represents the claim or belief that there will be a change or effect on the dependent variable due to the independent variable. It opposes the null hypothesis, which assumes no change or effect. In this case, Alessandra is proposing that there will be a difference or relationship between the independent and dependent variables.

To further elaborate, a hypothesis test is a statistical method used to make inferences about a population based on sample data. It involves formulating a null hypothesis (b), which assumes no significant difference or relationship between variables, and an alternative hypothesis (c), which asserts that there is a significant difference or relationship. The independent-measures t-test and repeated-measures t-test (d) are specific types of statistical tests used to compare means or differences between groups, but they are not directly related to the hypothesis statement provided by Alessandra.

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CAN YOU PLEASE HELP ME ?

Answers

Answer:

Where is the question we can help you with

write a quadratic function with leading coefficient 1 that has roots ofp.

Answers

A quadratic function with leading coefficient 1 and roots of p can be expressed as f(x) = (x - p)(x - p), which simplifies to f(x) = x^2 - 2px + p^2.

To construct a quadratic function with leading coefficient 1 and roots of p, we utilize the relationship between the roots and the factors of a quadratic equation. Since p is a root, the factors of the quadratic function would be (x - p) and (x - p). By multiplying these factors together, we obtain the quadratic function f(x) = (x - p)(x - p). Simplifying further, we can expand the expression:

f(x) = (x - p)(x - p) = x^2 - px - px + p^2 = x^2 - 2px + p^2

Hence, the quadratic function with leading coefficient 1 and roots of p is given by f(x) = x^2 - 2px + p^2. This form allows for easy identification of the coefficients and reveals that the constant term of the quadratic is p^2.

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Identify the curve by finding a Cartesian equation for the curve r = csc 0

Answers

The curve defined by the polar equation r = csc(theta) corresponds to the Cartesian equation x = cot(theta), y = 1, which is a vertical line passing through all points where theta is an odd multiple of pi/2.

The given polar equation is r = csc(theta). To find the Cartesian equation for this curve, we need to express r and theta in terms of x and y.

Recall that the polar coordinates (r, theta) can be converted to Cartesian coordinates (x, y) using the formulas:

x = r * cos(theta)

y = r * sin(theta)

Substitute r = csc(theta) into the above equations:

x = csc(theta) * cos(theta)

y = csc(theta) * sin(theta)

Simplify the expressions using trigonometric identities:

x = (1/sin(theta)) * cos(theta) = cot(theta)

y = (1/sin(theta)) * sin(theta) = 1

Therefore, the Cartesian equation for the curve r = csc(theta) is:

x = cot(theta)

y = 1

The equation x = cot(theta) represents a vertical line in the Cartesian coordinate system, where the x-coordinate is the cotangent of the angle theta and the y-coordinate is always 1.

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sing a TI-84 calculator, find the area under the standard normal curve to the left of the following z-values. Round the answers to four decimal places. Part 1 of 4 The area to the left of z= 1.07

Answers

The area to the left of z=1.07 is approximately 0.8577 (rounded to four decimal place. To find the area under the standard normal curve to the left of z = 1.07 using a TI-84 calculator.

Follow these steps:

1. Press the "2nd" button, then press "Vars" to access the "DISTR" menu.
2. Scroll down to "normalcdf(" and press "Enter".
3. Enter -99999 (or -E99) as the lower limit, since we want to find the area to the left of z = 1.07, which is very close to negative infinity.
4. Enter 1.07 as the upper limit, since we want to find the area to the left of this value.
5. Enter 0 as the mean, since we're working with the standard normal distribution.
6. Enter 1 as the standard deviation, since we're working with the standard normal distribution.
7. Press "Enter" to calculate the area.

The answer should be approximately 0.8577 when rounded to four decimal places.

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What role does substitution play when determining whether or not a given value is a solution to an equation or an inequality?

Answers

Answer:

Help verify values

Step-by-step explanation:

I basically help prove that the value fits and verifies that equation or inequality. By substituting a value for the variable within the equation or inequality and then solving it as a regular expression it should correctly output the same value on the other side of the equation or make the inequality true. For example, using the following inequality...

3x + 2 > 4

We can substitute the variable x for 2 and solve the inequality, if the inequality is true then we know that the value 2 is a correct and verified value.

(3*2) + 2 > 4

6 + 2 > 4

8 > 4  ... True

PLS HELP ,,,
which function increases faster?

function g
function f
they both increase at the same rate

PLS HELP ,,,which function increases faster?function gfunction fthey both increase at the same rate

Answers

The function, g(x), has a constant rate of change and will increase at a faster rate than the function f(x) for all the values of x.  

Given:

g(x) = 5/2 x -3 ..... (1)

f(x) = - 3.5 at x = 0

So, putting the value of x=0 in equation (1) for comparison. We get,

g(x) at x = 0

=> g(x) = 5/2 x (0) - 3

=> g(x) = -3

In this value of x function g(x) is faster than function f(x) having a value equal to -3.5.

Similarly, put x = 1 in equation (1) for comparison. We get,

=> g(x) = 5/2 x (1) - 3

=> g(x) = (5-6)/2

=> g(x) = -1/2

In this value of x function g(x) is faster than function f(x) having a value equal to -1.

Similarly, put x = 2 in equation (1) for comparison. We get,

=> g(x) = 5/2 x (2) - 3

=> g(x) = (5-3)

=> g(x) = 2

In this value of x function g(x) is faster than function f(x) having a value equal to 1.5.

Similarly, put x = 3 in equation (1) for comparison. We get,

=> g(x) = 5/2 x (3) - 3

=> g(x) = (15/2 - 3)

=> g(x) = 7.5 - 3

=> g(x) = 4.5

In this value of x function g(x) is faster than function f(x) having a value equal to 4.

Therefore, for all values of x function g(x) is faster than function f(x).

function f(x).

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HELP ME PLZ

Christine's rectangular bedroom has a perimeter of 44 feet. The length
of her bedroom is 2 more than the width. What are the dimensions of her
room?
A. 8 ft by 10 ft
B. 10 ft by 12 ft
C. 14 ft by 12 ft
D. None of the above

Answers

Answer:

B. 10 ft by 12 ft

Step-by-step explanation:

The perimeter is the length of all the sides added. Because it's a rectangle there are two pair of parallel lines. 10+10=20

12+12=24

24+20=44

evaluate the integral taking ω:0≤x≤1,0≤y≤4 ∫∫2xy^2dxdy

Answers

The value of the integral ∫∫R 2xy^2 dA over the given region R is 64/3.

To evaluate the integral ∫∫R 2xy^2 dA over the region R given by 0 ≤ x ≤ 1 and 0 ≤ y ≤ 4, we integrate with respect to x first, and then with respect to y:

∫∫R 2xy^2 dA = ∫[0,4] ∫[0,1] 2xy^2 dx dy

Integrating with respect to x, we get:

∫[0,4] ∫[0,1] 2xy^2 dx dy = ∫[0,4] (y^2) [x^2]0^1 dy

Simplifying the expression inside the integral, we get:

∫[0,4] (y^2) [x^2]0^1 dy = ∫[0,4] y^2 dy

Integrating with respect to y, we get:

∫[0,4] y^2 dy = [y^3/3]0^4

Substituting the limits of integration and simplifying, we get:

[y^3/3]0^4 = (4^3/3) - (0^3/3) = 64/3

Therefore, the value of the integral ∫∫R 2xy^2 dA over the given region R is 64/3.

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what is the area of this figure​

what is the area of this figure

Answers

Answer:

105 cm^2

Step-by-step explanation:

Parrallogram formula: height * base

15 * 7 = 105

the answer is 105cm^2

Identify the radius and the center of a circle whose equation is (x â€" 5)² y² = 81. the radius of the circle is units. the center of the circle is at ( , ).

Answers

The radius of the circle is 9 units. The center of the circle is at (5, 0).

The given equation is (x – 5)²y² = 81.

To identify the radius and center of this circle, we can rewrite the equation in standard form.

First, let's divide both sides by 81 to get (x – 5)²y²/81 = 1.

Next, we can take the square root of both sides to eliminate the squared terms.

This gives us the equation (x – 5)/9 · y/3 = 1.

The standard form of a circle is (x – h)² + (y – k)² = r², where (h, k) is the center of the circle and r is the radius.

Comparing this form to our equation, we can see that (x – 5)/9 and y/3 correspond to (x – h) and (y – k), respectively.

Therefore, we can solve for h and k by setting (x – 5)/9 = 0 and y/3 = 0, respectively.

This gives us h = 5 and k = 0, so the center of the circle is (5, 0). Finally, we can solve for the radius r by noting that the

distance from the center (5, 0) to the edge of the circle is 3 units in the x-direction and 9 units in the y-direction.

Therefore, the radius of the circle is 9 units, and we can express our final answer as:

The radius of the circle is 9 units. The center of the circle is at (5, 0).

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HELP !! Pls been on this for an hour

HELP !! Pls been on this for an hour

Answers

The exact value of the trigonometric ratio cosθ is C. -3/5

What is the trigonometric ratio?

A trigonometric ratio is the ratio of he sides of a right angled triangle.

How to find the value of cosθ?

Given that the point P(-3, 4) is the terminal side of an angle, we need to find the exact value of cosθ.

For angle θ, of the point P having coordinates (x, y). In the circle of radius r = √(x² + y²)

cosθ = x/r

= ±x/√(x² + y²)

Given that for point P(-3,4)

x = -3 and y = 4

Substituting the values of the variables into the equation, we have that

cosθ = ±x/√(x² + y²)

= ±(-3)/√((-3)² + 4²)

= ±3/√(9 + 16)

= ±3/√25

= ±3/5

Since point P is in the second quadrant, and cos is negative in the second quadrant, we choose the negative answer.

So, cosθ is C. -3/5

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1. 84x+² = 64

2. 5x-6 = 125

3. 819+2 = 33a+1

4. 256b+2 = 42-2b

5. 93c+1 = 27³c-1

6. 82y+4 = 16+1

Solve each equation

7. In 2009, Suzan received $10,000 from her grandmother. Her parents invested all of the

money, and by 2021, the amount will have grown to $16,960.

a. Write an exponential function that could be used to model the money y. Write the

function in terms of x, the number of years since 2009.

b. Assume that the amount of money continues to grow at the same rate. What

would be the balance in the account in 2031?

Answers

1. Taking the square root of both sides, we get:

84x + 2 = 8

Subtracting 2 from both sides, we get:

84x = 6

Dividing both sides by 84, we get:

x = 6/84 = 1/14

So the solution is x = 1/14.

2. Adding 6 to both sides, we get:

5x = 131

Dividing both sides by 5, we get:

x = 131/5 = 26.2

So the solution is x = 26.2.

3. Subtracting 819 from both sides, we get:

2 = 33a + 1 - 819

Simplifying, we get:

2 = 33a - 818

Adding 818 to both sides, we get:

820 = 33a

Dividing both sides by 33, we get:

a = 20

So the solution is a = 20.

4. Adding 2b to both sides, we get:

256b + 2b = 42

Simplifying, we get:

258b = 42

Dividing both sides by 258, we get:

b ≈ 0.163

So the solution is b ≈ 0.163.

5. Subtracting 93c from both sides, we get:

1 = 27³c - 93c - 1

Simplifying, we get:

2 = 27³c - 93c

Dividing both sides by 2, we get:

1 = 13.5³c - 46.5c

Multiplying both sides by 2/3, we get:

2/3 = 9³c - 31c

Using trial and error, we can find that c = 1 is a solution. Therefore, the solution is c = 1.

6. Subtracting 16 from both sides, we get:

82y = -15

Dividing both sides by 82, we get:

y ≈ -0.183

So the solution is y ≈ -0.183.

7.

a. To model the money y as an exponential function, we can use the formula:

y = a(1 + r)^x

where a is the initial amount, r is the annual interest rate as a decimal, and x is the number of years. In this case, the initial amount is $10,000, and the final amount is $16,960, which represents a growth factor of:

16,960/10,000 = 1.696

We can use this growth factor as the base of the exponential function, and write:

y = 10,000(1.696)^x

b. To find the balance in the account in 2031 (which is 22 years after 2009), we can simply substitute x = 22 into the function:

y = 10,000(1.696)^22 ≈ $46,766.99

So the balance in the account in 2031 would be approximately $46,766.99.

one third divided by five sixths
A. two-thirds
B. two-fifths
C. two-sixths
D. one-fifth

Answers

Answer: B

Step-by-step explanation:

Two- fifths

Answer:

The answer is 2/5 (B)

Step-by-step explanation:

1/3 divided by 5/6

To solve, we need to multiply the reciprocal of the divisor (5/6 in this case)

The reciprocal of 5/6 is 6/5

1/3*6/5 = 6/15 which can be reduced to 2/5

The answer is 2/5 (B)

Hope this helps!

Is triangle ABC obtuse-angled?.

Answers

Triangle ABC is a perfect example to study the triangle type – Obtuse. In triangle ABC, interior angle ACB =37°, which is less than 90°, so it's an acute angle. Interior angle ABC = 96°, which is more than 90° so, it's an obtuse angle.

Is a triangle an obtuse angle?

No, a triangle cannot have both obtuse and right angles, as the sum of the three angles cannot exceed 180 degrees. How do you know if a triangle is obtuse? We can easily identify an obtuse triangle by looking at its angles. If any angle measures more than 90°, that triangle is an obtuse triangle.

a sinusoidal graph has a maximum at the point (4,12) and a minimum at the point (11,5). determine the midline of the graph.

Answers

The midline of the graph is a horizontal line with y = 8.5.

The midline of a sinusoidal graph is the average of its maximum and minimum values, which represents the average height of the graph over one period. To find the midline, we need to find the average of the y-values of the maximum and minimum points.

The maximum point is (4,12) and the minimum point is (11,5), so the average of the y-values is (12+5)/2 = 8.5. This represents the y-intercept of the midline, which is a horizontal line. Therefore, the midline of the graph is a horizontal line with y = 8.5.

The midline of a sinusoidal graph separates the graph into two parts: the portion above the midline, where the graph is increasing, and the portion below the midline, where the graph is decreasing. The midline also provides important information about the amplitude and frequency of the graph.

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the total overhead variance is the difference between actual overhead costs and overhead costs applied to work done.

Answers

The total overhead variance refers to the difference between actual overhead costs and overhead costs applied to work done. The variance is calculated in terms of both monetary value and as a percentage of the overhead costs applied. The variance is then analyzed and explained using overhead analysis.

Total overhead variance = actual overhead costs - overhead costs applied
The overhead costs applied are calculated by multiplying the overhead rate by the actual hours worked on a specific job. Overhead costs are allocated using a predetermined rate or percentage based on direct labor or machine hours.
The total overhead variance may be favorable or unfavorable. A favorable variance occurs when actual overhead costs are less than overhead costs applied, resulting in savings. An unfavorable variance occurs when actual overhead costs are greater than overhead costs applied, resulting in higher costs.
The total overhead variance can be broken down further into its constituent parts, the variable overhead variance, and the fixed overhead variance. The variable overhead variance is the difference between actual variable overhead costs and variable overhead costs applied. The fixed overhead variance is the difference between actual fixed overhead costs and fixed overhead costs applied.
In conclusion, the total overhead variance is an essential tool for analyzing overhead costs and identifying opportunities for cost savings. By breaking down the variance into its constituent parts, managers can identify specific areas for improvement and make informed decisions about overhead costs.

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true or false: if this model suffers from heteroskedasticity, then the usual ols t statistics no longer have a t distribution and the f statistics no longer have an f distribution.

Answers

The statement ' if this model suffers from heteroskedasticity, then the usual OLS t statistics no longer have a t distribution and the f statistics no longer have an f distribution' is true because a model suffering from heteroskedasticity will not be accurate.

If a model suffers from heteroskedasticity, which is the condition where the variance of the errors is not constant across observations, then the usual OLS t statistics and F statistics no longer have t or F distributions, respectively. In other words, the standard errors of the coefficients and the overall fit of the model cannot be accurately estimated using the usual assumptions of OLS regression.

Specifically, when heteroskedasticity exists, the OLS estimator remains unbiased, consistent, and asymptotically normal, but its estimated standard errors are biased and inconsistent, leading to invalid inference. This means that t-tests for individual coefficients and F-tests for overall model significance based on these standard errors may be unreliable.

Instead, alternative methods such as robust standard errors or weighted least squares should be used to correct for heteroskedasticity.

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