For this exponential
function,
what is the output value (y),
when the input value (x) is O?
y = 10•5x
(0,[?])

The instantaneous velocity of s(t) =4t² − 3t − 5 at time t=3 is 21.

We need to calculate the derivative of the position function s(t) with respect to t, which represents the velocity function v(t) to find the instantaneous velocity at time t = 3.

We know that s(t) = 4t² - 3t - 5, we can differentiate it to find v(t):

v(t) = d(s(t))/dt = d(4t² - 3t - 5)/dt

Applying the power rule and the constant rule for differentiation, we have:

v(t) = 8t - 3

Now, we can find the instantaneous velocity at t = 3 by substituting t = 3 into the velocity function:

v(3) = 8(3) - 3 = 24 - 3 = 21

Therefore, the instantaneous velocity at t = 3 is 21 units per time (e.g., meters per second, miles per hour, etc.).

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Answer:

The measure of angle B must be 81° because angles A and B are interior supplementary angles

Step-by-step explanation:

Let us revise the properties of a parallelogram

In any parallelogram:

Let us solve our question

In parallelogram ABCD

∵ AD and BC are opposite sides

∴ AD // BC

∵ ∠A and ∠B are adjacent angles

→ That means ∠A and ∠B are interior supplementary angles

∴ ∠A and ∠B are supplementary angles

∵ The sum of the measures of the supplementary angles is 180°

∴ m∠A + m∠B = 180°

∵ m∠A = 99°

∴ 99° + m∠B = 180°

→ Subtract 99° from both sides

∴ 99° - 99° + m∠B = 180° - 99°

∴ m∠B = 81°

The measure of angle B must be 81° because angles A and B are interior supplementary angles

The one skirt cost $1.80.

Let's use the given information to set up equations:
Kelly bought 4 shirts and 3 skirts, and the total cost was $11.40.
Let S be the cost of one shirt, and K be the cost of one skirt.
The equation for the total cost is:
4S + 3K = $11.40
Each skirt cost $0.30 more than each shirt.
K = S + $0.30
Now, we will solve the equations:
Solve the second equation for S:
S = K - $0.30
Substitute the expression for S from Step 1 into the first equation:
4(K - $0.30) + 3K = $11.40
Distribute the 4:
4K - $1.20 + 3K = $11.40
Combine like terms:
7K = $12.60
Divide by 7 to find the cost of one skirt (K):
K = $12.60 ÷ 7
K = $1.80

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The value of x, considering the proportional relationship in this problem, is given as follows:

\(x = 0.77 \times 10^{-46}\)

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The proportional relationship for this problem is given as follows:

1u - \(6.02 \times 10^{23}\)

x u - \(4.65 \times 10^{-23}\)

Applying cross multiplication, the value of x is given as follows:

\(x = \frac{4.65 \times 10^{-23}}{6.02 \times 10^{23}}\)

\(x = 0.77 \times 10^{-46}\)

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Answer:

x-intercept = (-9, 0)

y-intercept = (0, 12)

Step-by-step explanation:

Given the following linear equation in standard form:  4x +  Зу = - 36

The x-intercept is the point (a, 0) on the graph of the linear equation where it crosses the x-axis. It is also the value of x when y = 0. The x-intercept occurs at x = C/A (for the standard form, Ax + By = C).

To find the x-interincept, set y = 0:

4x +  Зу = - 36

4x + 3(0) = -36

4x+ 0 = -36

4x = -36

Divide both sides by 4:

\(\frac{4x}{4} = \frac{-36}{4}\)

x = -9

Therefore, the x-intercept is (-9, 0).

Likewise, to solve for the y-intercept, substitute its values by setting x = 0:

4x +  Зу = - 36

4(0) +  Зу = - 36

0 + 3y = -36

\(\frac{-3y}{-3} = \frac{-36}{-3}\)

y = 12

Therefore, the y-intercept of the graph is (0, 12).

The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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Given the standard deviation of 1, If Kayden were to run 37 practice trials, of the 400 meters dash, 84%  would be slower than 88 seconds.

The following information is given:

Kayden runs the 400-meter dash, his finishing times are normally distributed with a mean of 90 seconds and a standard deviation of 1 second;

Mean (μ) = 90

Standard deviation (σ) = 1

We are supposed to find Kayden were to 37 practice trials of the 400-meter dash, how many of those trials would be faster than 88 seconds, to the nearest whole number i.eP (x < 88)

z = (x - μ) /σ

z = 88 - 90/1

z = -2

We must refer to the z table for the value of P; where

p (x < 88) = 0.0228

Recall that Kayden was to run 37 practice trials. hence

P (x < 88) = 37 * 0.0228

= 0.8436

Therefore, to the nearest whole number, we can state that 84% would be faster than 88 seconds.

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The answer is (b) 0.40. A random variable X is best described by a continuous uniform distribution from 20 to 45 inclusive.

The continuous uniform distribution is defined by the probability density function:

f(x) = 1/(b-a) for a ≤ x ≤ b

where a and b are the lower and upper limits of the distribution, respectively.

In this case, a = 20 and b = 45, so the probability density function is:

f(x) = 1/(45-20) = 1/25 for 20 ≤ x ≤ 45

To find P(30 ≤ X ≤ 40), we integrate the probability density function from 30 to 40:

P(30 ≤ X ≤ 40) = ∫30^40 (1/25) dx

P(30 ≤ X ≤ 40) = [x/25]30^40

P(30 ≤ X ≤ 40) = (40/25) - (30/25)

P(30 ≤ X ≤ 40) = 0.4

Therefore, the answer is (b) 0.40.

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Answer:

I mean, I think it varies by house and by location but a general range would be:

Min: 64 *F

Max: 74 *F

The slope-intercept form is y = 3/2x - 6 for line perpendicular to y = (2/3)x - 1 through (0,6)

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

In an equation, perpendicular lines have the opposite reciprocal slope. In other words, if a line's slope is a positive fraction, its reciprocal slope is negative.

Here given that y = (2/3)x - 1

Here 2/3 is the slope and 1 is the y-intercept

To find a perpendicular line to the following equation, use the opposite reciprocal slope and point, then solve using the point-slope formula.

y - y₁ = m(x - x₁)

We have, m = 3/2, x₁ = 0 and y₁ = 6

y - 6 = 3/2(x - 0)

y - 6 = 3/2x - 0

y = 3/2x - 6

We have the slope-intercept form y = 3/2x - 6 of a line  perpendicular to y = (2/3)x - 1 through (0,6)

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The value of the scalar product M ⋅

M is given by answer 4, a2 + 2ab + b2.

Therefore, the value of the scalar product M ⋅

N is given by answer 6, ad + bc.

What is a scalar product?

A scalar product is a type of binary operation in algebra that combines two vectors in a scalar value.

It is also known as the dot product.

This product is defined as the product of the magnitude of two vectors multiplied by the cosine of the angle between them.

In a scalar product, the order of multiplication does not matter, but the properties of multiplication do hold.

How to calculate a scalar product?

The scalar product of two vectors A and B is given by the formula:

A . B = |A||B| cosθ

where, |A| and |B| are the magnitudes of vectors A and B, and θ is the angle between them.

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The external finance needed=$33,689

PRO FORMA INCOME STATEMENT

15%Growth

20%

25%

Sales

$ 1,127,874

$ 1,176,912

$ 1,225,950

Costs

$ 911,904

$ 951,552

$ 991,200

Other expenses

$ 23,069

$ 24,072

$ 25,075

EBIT

$ 192,901

$ 201,288

$ 209,675

Interest Paid

$14,740

$14,740

$14,740

Taxable Income

$ 178,161

$ 186,548

$ 194,935

Taxes(21%)

$ 37,414

$ 39,175

$ 40,936

Net Income

$ 140,747

$ 147,373

$ 153,999

Dividend

$ 45,705

$ 47,856

$ 50,008

Added to RE

$ 95,042

$ 99,517

$ 103,991

EFN FOR 15% SALES GROWTH

(A).Required increase in assets=(Current total asset)* (percentage increase in sales)

The required increase in assets=622440*0.15= $93,366

(B).Spontaneous increase in liabilities=(accounts payable)* (percentage increase in sales)=71720*0.15= $ 10,758

(C)Increase in retained earning =$95,042 (From Pro Forma income statement )

External Finance Required=(A)-(B)-(C)=$93366-$10758-$95042= $ (12434)

A

Total assets increase

$ 93,366

B

Increase in accounts payable

$ 10,758

C

Added to retained Earnings

$95,042

D=A-B-C

ExternalFinance Needed(EFN)

$ (12,434)

No External Finance is needed . Retained earning will provide the necessary capital>

EFN FOR 20% SALES GROWTH

(A).Required increase in assets=(Current total asset)* (percentage increase in sales)

Required increase in assets=622440*0.20= $ 124,488

(B).Spontaneous increase in liabilities=(accounts payable)* (percentage increase in sales)=71720*0.20= $14,344

(C)Increase in retained earning =$99517(From Pro Forma income statement )

External Finance Required=(A)-(B)-(C)=$124488-$14344-$99517= $ 10627

A

Total assets increase

$ 124,488

B

Increase in accounts payable

$ 14,344

C

Added to retained Earnings

$99,517

D=A-B-C

ExternalFinance Needed(EFN)

$ 10,627

External Finance Needed=$10,627

EFN FOR 25% SALES GROWTH

(A).Required increase in assets=(Current total asset)* (percentage increase in sales)

Required increase in assets=622440*0.25= $ 155,610

(B).Spontaneous increase in liabilities=(accounts payable)* (percentage increase in sales)=71720*0.25= $ 17,930

(C)Increase in retained earning =$103,991(From Pro Forma income statement )

External Finance Required=(A)-(B)-(C)=$155610-$17930-$103991= $ 33,689

A

Total assets increase

$ 155,610

B

Increase in accounts payable

$ 17,930

C

Added to retained Earnings

$103,991

D=A-B-C

ExternalFinance Needed(EFN)

$ 33,689

External finance needed=$33,689

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The plumber bought 10 pieces of copper pipe and 6 pieces of plastic pipe. Let's start by assigning variables to the unknown quantities.

- Let's call the number of copper pipes that the plumber bought "c". Let's call the number of plastic pipes that the plumber bought "p".

We can then use this information to set up two equations:
- The total number of pipes bought is 16:

c + p = 16

- The total length of the pipes bought is 40 meters:

7c + 1p = 40

Now we have two equations with two variables, which we can solve using algebra.

First, let's solve for one of the variables in terms of the other. We'll use the first equation:

c + p = 16

c = 16 - p

Now we can substitute this expression for "c" into the second equation:

7c + 1p = 40

7(16 - p) + p = 40

112 - 6p = 40

-6p = -72

p = 12

So the plumber bought 12 pieces of plastic pipe. We can substitute this value back into our expression for "c":

c = 16 - p

c = 16 - 12

c = 4

So the plumber bought 4 pieces of copper pipe.

To check our answer, we can verify that the total length of the pipes is indeed 40 meters:

7c + 1p = 7(4) + 1(12) = 28 + 12 = 40

So our solution of 4 copper pipes and 12 plastic pipes is correct.

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Answer:

yes

Step-by-step explanation:

yes

yes

yes

yes

yeyed

yes

Answer:

lol sry for AWFUL handwriting!!!! Hope this helps!! Have a great day : )

Answer:

46.67

= (1/3 +9 ) × 5

= 1/3+27/3 × 5

= 28/3 × 5

= 46.67

Answer:

about 23.0979

Step-by-step explanation:

tan 57 = n/15

multiply 15 on both sides ---> 15(tan 57) = n/15 (15)

n is about 23.0979

Answer:

thanks for the points ZOINKS

Step-by-step explanation:

With the confidence interval, it can be concluded with 99% confidence that the true proportion of teenage drivers in Atlanta who text while driving lies between 35.89% and 75.23%.

The confidence interval (CI) is equal to the sample proportion (p) plus or minus the product of the critical value (z*) and the standard error of the proportion, where the standard error is calculated by taking the square root of the product of the sample proportion, its complement (1 - p), and the reciprocal of the sample size (n), formed in an equation.

where:

p is the sample proportion (15/27 in this case)

z* is the critical value from the standard normal distribution for the desired confidence level (99% in this case, which corresponds to a z* value of 2.576)

n is the sample size (27 in this case)

Substituting the given values, we get:

CI = 0.5556 ± 2.576*√((0.5556(1-0.5556))/27)

Simplifying this expression, we get:

CI = 0.5556 ± 0.1967

So the 99% confidence interval for the population proportion of teens who text while driving is:

(0.3589, 0.7523)

Therefore, we can be 99% confident that the true proportion of teenage drivers in Atlanta who text while driving lies between 35.89% and 75.23%.

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Answer:

the answer is -10p

Answer:

7.x=\(\sqrt{12^{2}- 11^{2} }\)

  x=\(\sqrt{23}\) in

8.x=\(\sqrt{11^{2} -8^{2} }\)

   x=\(\sqrt{57}\) yd

9.x=\(\sqrt{2^{2} +2^{2} }\)

   x=\(\sqrt{8}\) m

10.x=\(\sqrt{9^{2} +6^{2} }\)

    x=\(\sqrt{117}\) m

11.x=\(\sqrt{170-4^{2} }\)

   x=\(\sqrt{154}\) mi

12.x=\(\sqrt{37+7^{2} }\)

    x=\(\sqrt{86}\) yd

Step-by-step explanation:

\( \frac{2}{9} + \frac{1}{3} \\ by \: taking \: out \: the \: lcm \: of \: 9 \: and \: 3 \: \\ we \: get \: 9\: as \: lcm \\ now \\ \frac{2 \times 1 + 1 \times 3}{9} \\ \frac{2 + 3}{9} \\ \frac{5}{9} \)

Answer:

Given:

Let, the slope of the line passing through the point ( m) = -2

The line passing through the point M(-1,-3)= (x1 , y1)

The equation of the line passing through the point M(-1,-3) is

y-y1 = m (x-x1)

or, y-(-3) = -2 (x-(-1))

or, y+3 = -2 (x+1)

or, y+3 = -2x-2

or, 2x+y = -2-3

Hence, 2x+y =-5 is the required equation.

(a) is the correct answer .

When 293 college students are randomly selected and surveyed, it is found that 114 own a car. The upper limit for the 90% confidence interval for the percentage of all college students who own a car is 46.3%.

The given problem is an example of confidence intervals in statistics. The formula for finding the confidence interval in percentage is given below:

Confidence Interval in Percentage = P ± Z Score x √ (PQ/n)

where

P = Sample proportion

Q = 1 - P

n = Sample Size

Z Score is obtained from the Z-Table where the confidence level is given.

To obtain the upper limit, the following formula should be used:

Upper Limit of the Confidence Interval = P + Z Score x √ (PQ/n)

Substitute the given values of the question into the formula:

P = 114/293 = 0.3891

Q = 1 - 0.3891 = 0.6109

n = 293

The upper limit for the 90% confidence interval is given by the Z-Table at 1.645:

Upper Limit of the Confidence Interval = 0.3891 + 1.645 x √ [(0.3891 x 0.6109)/293]

≈ 0.3891 + 1.645 x 0.0467

≈ 0.3891 + 0.07701

≈ 0.4661 = 46.3%

Therefore, the answer is 46.3%.

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Answer:

(-7,4) and (-9,7)

Step-by-step explanation:

Answer:

Step-by-step explanation:

use "range calculator", trust me it helps so much! goodluck!

The calculated value |Z| = |-2.00722 | = 2.00722 > 2.054 at 0.02 level of significance. So their claim is wrong.

Given that the mean age of retirement for women, executives is 63.2

Given that the size of the sample 'n' = 78

Given that the mean of sample x⁻ = 64.2

Given that the standard deviation  'σ' = 4.4 years

Null hypothesis: H₀: μ ≠ 63.2

Alternative Hypothesis: H₁: μ = 63.2

Test statistic

Z =  -2.00722

|Z| =  2.00722 > 2.054 at 0.02 level of significance

The calculated value |Z| = 2.00722 > 2.054 at 0.02 level of significance

Therefore, we reject the hypothesis.

Statistics is the study of research and surveys on numerical data in mathematics. In order to conduct surveys, the hypothesis must be established. There are typically two different kinds of hypotheses. A null hypothesis is one that holds true, whereas an alternate hypothesis is another.

The null hypothesis is a broad assertion or default stance that there is zero happening or nothing happening in probability and statistics. For instance, there is no association between two measured events or a connection between groups.

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The number of elements in the sample space for this experiment is 969.

If a person eating at a cafeteria must choose 3 of 19 vegetables on offer, we can calculate the number of elements in the sample space, or the total number of possible outcomes, using the formula for combinations:

nCr = n! / [r!(n - r)!]

where n is the total number of items in the set and r is the number of items being chosen.

In this case, we have 19 vegetables and we want to choose 3 of them, so we can plug in n = 19 and r = 3:

19C3 = 19! / [3!(19 - 3)!]

= 19! / (3!)(16!)

= 969

Therefore, there are 969 possible combinations of 3 vegetables that a person can choose from a selection of 19 vegetables.

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