The perimeter of a rectangle is 74 inches. If the length is five more than the width, what are the rectangle's measurements?
O length = 19; width = 18
O length = 22; width = 15
O length = 20; width = 17
O length = 21; width = 16
O None of these choices are correct.

Answer:

∠ KLJ = 70°

Step-by-step explanation:

The segment KL joins the midpoints of 2 sides of the triangle and is therefore parallel to the third side HG , then

∠ KLJ and ∠ HGL are corresponding angles and are congruent , so

∠ KLJ = 70°

Answer:

y = 1/2x - 2.5

Step-by-step explanation:

(15, 5) and (42, 18.5)

Slope:

m=(y2-y1)/(x2-x1)

m=(18.5 - 5)/(42 - 15)

m = (13.5)/27

m = 1/2

y - y1 = m(x - x1)

y - 5 = 1/2(x - 15)

y - 5 = 1/2x - 7.5

y = 1/2x - 2.5

Answer:

2   or    1/2

Step-by-step explanation:

change in y over change in x

you didnt define what what x and what was y so ill provide both answers and you can figure which is correct

42-15/18.50-5   =27/13.5   =2

18.50-5/42-15    =13.5/27  =1/2

Using the volume x³ + 10x² + 19x  - 30, the missing side of the rectangular prism is (x + 6)

Two sides of a rectangular prism are x + 5 and x - 1. The volume of the rectangular prism is given as x³ + 10x² + 19x  - 30.

Let's find the missing side of the rectangular prism.

Therefore,

volume of a rectangular prism = lwh

where

Therefore,

volume of the prism = x³ + 10x² + 19x  - 30

Let's factorise it to find the missing side length

x³ + 10x² + 19x  - 30  = 0

(x - 1)(x² + 11x + 30)

let's factorise x² + 11x + 30

x² + 11x + 30

x² + 5x + 6x + 30

x(x + 5) + 6(x + 5)

(x + 6)(x + 5) = 0

Therefore, the side length of the rectangular prism are (x - 1), (x + 5) and (x + 6)

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The values of x for which the function f(x) = x³ + 3x² - 9x + 7 is increasing are (-∞, -3) and (1, +∞).

To find the values of x for which the function f(x) = x³ + 3x² - 9x + 7 is increasing, we need to take the derivative of the function and determine where the derivative is positive.

f(x) = x³ + 3x² - 9x + 7

f'(x) = 3x² + 6x - 9

To find where f(x) is increasing, we need to find the values of x where f'(x) > 0.

3x² + 6x - 9 > 0

Simplifying this inequality, we get

x² + 2x - 3 > 0

Factoring the left side of the inequality, we get

(x + 3)(x - 1) > 0

The critical points of f(x) occur when f'(x) = 0 or when the denominator of f'(x) is undefined. The denominator of f'(x) is always defined, so we only need to find where f'(x) = 0

3x² + 6x - 9 = 0

Dividing both sides by 3, we get

x² + 2x - 3 = 0

Factoring the left side of the equation, we get

(x + 3)(x - 1) = 0

So the critical points of f(x) are x = -3 and x = 1.

Now we can use a sign chart to determine the intervals where f'(x) > 0.

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The given question is incomplete, the complete question is:

What are all values of x for which the function f is defined by f(x)= x³ +3x² -9x +7 is increasing?

Answer: 398 + 399 + 400 equals 1197 

Step-by-step explanation: The sum of three consecutive natural numbers is 1197, find the numbers X) + (X + 1) + (X + 2) = 1197 To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:X + X + 1 + X + 2 = 11973X + 3 = 11973X + 3 - 3 = 1197 - 33X = 11943X/3 = 1194/3X = 398Which means that the first number is 398, the second number is 398 + 1 and the third number is 398 + 2. Therefore, three consecutive integers that add up to 1197 are 398, 399, and 400. 

Answer:

9

Step-by-step explanation:

use pemdas to evaluate..

2x^2 + 1

2(2)^2 + 1

2(4) + 1

8 + 1 = 9

The function round(price, 0) is used to round a given number (in this case, the price) to a specified number of decimal places (in this case, 0). When you use round(24.95, 0), the function will round the price to the nearest whole number. In this scenario, 24.95 will be rounded up to 25, not 24.

Yes, that is correct. The function round(price,0) rounds the price to the nearest whole number. In this case, 24.95 is rounded down to 24. However, it's important to note that this function always rounds to the nearest whole number, so if the price was 24.5 it would also round down to 24, whereas if the price was 24.6 it would round up to 25. It's also worth mentioning that there are other rounding functions that can be used to round to different levels of precision, such as rounding to the nearest tenth or hundredth.

Overall, rounding is an important tool in many areas of math and statistics, as it allows us to simplify numbers and make calculations easier to work with.
 

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Answer:

where is the picture i cant see anything except find the surface area! correct gets brainliest!

Step-by-step explanation:

Answer:

what do u need help within can help you

The mean forecast error (MFE) can indicate if a forecast is consistently high. MFE measures the average difference between the forecasted values and the actual values over a given period.

If the MFE consistently shows a positive value, it suggests that the forecast tends to be higher than the actual values on average. The mean forecast error (MFE) is a common error measure used by forecasters to assess the accuracy of their forecasts. It is calculated by taking the average of the differences between the forecasted values and the corresponding actual values.

If the MFE consistently yields a positive value, it indicates that the forecast tends to be consistently higher than the actual values. This suggests a systematic bias in the forecasting process, where the forecaster consistently overestimates the future outcomes. The magnitude of the MFE also provides insights into the degree of overestimation, with larger positive values indicating a more significant discrepancy between the forecasted and actual values. By identifying such consistently high forecasts, forecasters can make adjustments to improve the accuracy and reliability of their predictions.

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Answer:

A

Step-by-step explanation:

Answer:

To start off, note that 1 5/8 is a mixed number, also known as a mixed fraction. It has a whole number and a fractional number. We have labeled the parts of the mixed number below so it is easier to follow along.

1 = Whole number

5 = Numerator

8 = Denominator

To get 1 5/8 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction.

Here are the detailed math steps we use to convert 1 5/8 mixed number to decimal form:

Step 1: Multiply the whole number by the denominator:

1 × 8 = 8

Step 2: Add the product you got in Step 1 to the numerator:

8 + 5 = 13

Step 3: Divide the sum from Step 2 by the denominator:

13 ÷ 8 = 1.625

The answer to 1 5/8 in decimal form is 1 5/8 ≈ 1.63

Let's say for example you wanted to graph the linear equation \(y = 2x+5\)

At minimum, we'll need 2 points to form this line.

To get any point of the form (x,y), we plug in a number for x to find a corresponding number for y.

For example, replace x with 0 to find that...

\(y = 2x+5\\\\y = 2(0)+5\\\\y = 0+5\\\\y = 5\\\\\)

Therefore, x = 0 leads to y = 5. So the point (0,5) is on the line.

Then we repeat this process for other x values. Let's try x = 1

\(y = 2x+5\\\\y = 2(1)+5\\\\y = 2+5\\\\y = 7\\\\\)

Telling us that (1,7) is also on this line. We have enough to graph this equation. Plot the two points (0,5) and (1,7). Then draw a straight line through them. Extend this line as far as you can to the left and right. The graph is shown below.

We can keep going to get other points like (2,9) and (3,11) and (4,13) and so on. A table is a way to keep track of the xy values.

\(\begin{array}{|c|c|}\cline{1-2}\text{x} & \text{y}\\ \cline{1-2}0 & 5\\ \cline{1-2}1 & 7\\ \cline{1-2}2 & 9\\ \cline{1-2}3 & 11\\ \cline{1-2}4 & 13\\ \cline{1-2}\end{array}\)

Each time x goes up by 1, y goes up by 2. This directly ties to the slope of 2/1 = 2.

The ball traveled approximately \(26.27\) units in total.

To calculate the distance the ball traveled, we can use the distance formula between two points in a Cartesian coordinate system.

Distance = \(\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }\)

Let's calculate the distance between Player A and Player B first:

Distance_AB =

\(\sqrt{((16-2)^{2}+(9-4)^{2}) }\)

\(= \sqrt{(14^{2}+5^{2} ) } \\= \sqrt{(196 +25)} \\= \sqrt{221} \\= 14.87\)

Now, let's calculate the distance between Player B and Player C:

Distance_BC =

\(\sqrt{ ((25 - 16)^2 + (16 - 9)^2)}\\= \sqrt{ (9^2 + 7^2)}\\= \sqrt{(81 + 49)}\\= \sqrt{130}\\=11.40\)

Finally, we can calculate the total distance traveled by adding the distances AB and BC:

Total distance = Distance_AB + Distance_BC

\(= 14.87 + 11.40 \\= 26.27\)

Starting from Player A at \((2, 4),\) it was thrown to Player B at \((16, 9),\) covering a distance of about \(14.87\) units. From Player B, the ball was then thrown to Player C at \((25, 16),\) covering an additional distance of approximately \(11.40\) units.

Combining these distances, the total distance the ball traveled was approximately \(26.27\) units.

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Answer: 0.25 or 25%

Step-by-step explanation: The probability of getting heads in a coin flip is 0.5, or 50%. In order to account for the two times we flip the coin, we multiply that by two. 0.5(2)=0.25 or 25%.

Step-by-step explanation:

Two flips has  2^2 = 4 possible outcomes

  ONE of which is   Heads - Heads

    one out of 4     =   1/4 = .25

H H

H T

T H

T T

In an ideal and unlimited environment, a population's growth follows an exponential model.

Exponential growth is when a population's growth rate keeps increasing over time because the population has access to an unlimited supply of resources, and its rate of reproduction is not limited by a lack of food, water, or space. In a population, exponential growth would result in an increase in the number of individuals in the population over time. Thus, in an ideal, unlimited environment, a population's growth follows an exponential model.Exponential growth can be mathematically represented by the following formula:Nt = Noertwhere:Nt = the population size at time tNo = the initial population sizee = Euler's numberr = the per capita growth rate of the populationt = the amount of time that has elapsed.

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Based on the data in the table, if a cow is randomly selected from farm B, the probability that its feed includes seaweed is 0.597 (Option D) and without is 0.57

Note that the total number of feed with sea weed is 74.
And the total number of cows on the farm B is 124.

Thus, the cows whose feed includes seaweed is 74/124

= 0.59677419354

≈ 0.597

The Probability of those whose feed is without sea weed is

Note that the total number of feed without sea weed is 40.
And the total number of cows on the farm B is 76.

Thus, the probability is 40/70
= 0.5714285714

≈ 0.571

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The length of PD = 1.5

ΔABC is an equilateral triangle. P is a point on the minor arc connecting A and B.

Hence ∠APB = 90° and ∠PAC = 90°

What is Equilateral triangle?

A triangle in which all three sides are the same length, called Equilateral triangle.

ΔABC is equilateral triangle.

Hence, ∠PAD = 90° - 60°

                      =30°

In ΔAPD,

\(sin30 = \frac{PD}{PA}\)

\(\frac{1}{2} = \frac{PD}{3}\)

\(PD=\frac{3}{2}\)

\(PD = 1.5\)

Hence length of PD = 1.5

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1. C. Gravity is a force that acts as an inversely proportional square law with respect to distance.

2. B. Type Ia supernovae

3. D. Downwards; towards the center of the Sun

The interpretation of the equations and the correct options for the given questions are as follows:

Question 1:

The equation interpretation is related to gravity. The equation states a relationship between gravity and distance. The correct option is:

C. Gravity is a force that acts as an inversely proportional square law with respect to distance.

Question 2:

To test how the constant G (gravitational constant) has changed over the evolution of the Universe, certain phenomena or objects are used. The correct option is:

B. Type Ia supernovae

Question 3:

Based on the excerpt, the direction of gravity from the Sun is described. The correct option is:

D. Downwards; towards the center of the Sun

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Answer:

8 cm

Step-by-step explanation:

You neglected to include any equations

Here is one way to solve:

length of each piece

352/22 = 16

Half a piece

16/2 = 8

Choice C

352/22/2 = l

Answer:

352 ➗ 22 ➗ 2 = l

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

2/3 x2= 1.5

1.5 x4=  6

2x4=8

Answer:

Solve for x or y,  Ax + By = 0

x=1  y=unknown number.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

(a) To compute the derivative of g∘f at the point t = π/4, we need to apply the chain rule. Let's denote h(t) = g(f(t)).

Step 1: Compute the derivative of f(t):

f'(t) = (-sin(t), cos(t), 1).

Step 2: Substitute f(t) into g(x, y, z) to obtain g∘f:

g∘f(t) = g(f(t)) = g(cos(t), sin(t), t) = (cos^2(t) + sin^2(t) + t^2).

Step 3: Apply the chain rule:

h'(t) = g'(f(t)) * f'(t).

Substituting the derivatives:

h'(t) = (2cos(t), 2sin(t), 2t) * (-sin(t), cos(t), 1)

= -2cos(t)sin(t) + 2sin(t)cos(t) + 2t.

Evaluating at t = π/4:

h'(π/4) = -2cos(π/4)sin(π/4) + 2sin(π/4)cos(π/4) + 2(π/4)

= -sin(π/2) + cos(π/2) + π/2

= 1 + π/2.

Therefore, the derivative of g∘f at t = π/4 is 1 + π/2.

(b) To find the tangent line to the path described by f at the point (0, 1, π/2), we need the direction vector of the tangent line, which is given by the derivative of f(t) evaluated at t = π/2.

The derivative of f(t) is f'(t) = (-sin(t), cos(t), 1).

Evaluating at t = π/2:

f'(π/2) = (-sin(π/2), cos(π/2), 1)

= (-1, 0, 1).

Therefore, the direction vector of the tangent line is (-1, 0, 1).

Using the point-direction form of a line, the equation of the tangent line is:

(x, y, z) = (0, 1, π/2) + t(-1, 0, 1).

Simplifying, we have:

x = -t,

y = 1,

z = π/2 + t.

This is the equation of the tangent line to the path described by f at the point (0, 1, π/2).

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Answer:

100 and -60

......................

Answer:

yes

Step-by-step explanation:

12 + 3t = 72

Let t = 20

12 + 3*20 = 72

12 + 60 = 72

72 = 72

This is a true statement so t =20 is a solution

Answer:

Yes  becauz 12 + 3(20) = 72

12 + 60 = 72

Step-by-step explanation:

In this case, the monthly payment for the car loan would be approximately $1,299.13.

To calculate the monthly payment for a bank loan using Excel, you can use the PMT function.

Here's how to do it:

1. Open Excel and create a new spreadsheet.

2. In cell A1, enter the loan amount: -40000 (negative because it's an outgoing payment).

3. In cell A2, enter the annual interest rate: 9%.

4. In cell A3, enter the loan duration in years: 3.

5. In cell A4, enter the formula to calculate the monthly payment: =PMT(A2/12, A3*12, A1).

6. The result in cell A4 will be the monthly payment.

So, in this case, the monthly payment for the car loan would be approximately $1,299.13.

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Answer:

1/81

Step-by-step explanation:

\((-1/3) ^4\\\\\mathrm{Apply\:exponent\:rule}:\\\quad \left(-a\right)^n=a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:even}\\\\\left(-\frac{1}{3}\right)^4=\left(\frac{1}{3}\right)^4\\\\\mathrm{Apply\:exponent\:rule}:\\\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\\\\left(\frac{1}{3}\right)^4=\frac{1^4}{3^4}\\\\1^4=1\\3^4=81\\\\=\frac{1}{81}\)

The value of \(\((-1/3)^4\)\) using property of exponents is \(\(\dfrac{1}{81}\)\).

To simplify the expression \(\((-1/3)^4\)\), calculate the power of the numerator and the denominator separately.

\(\((-1/3)^4 = \left(\dfrac{-1}{3}\right)^4\)\)

Now, let's simplify each part:

\(\(\left(\dfrac{-1}{3}\right)^4 = \dfrac{(-1)^4}{3^4}\)\)

Using the exponent property

\((\dfrac{a}{b} )^4 = \dfrac{a^4}{b^4}\)

\(\(\dfrac{(-1)^4}{3^4} = \dfrac{1}{3^4}\)\)

The denominator \(\(3^4\)\) means 3 raised to the power of 4, which equals 81.

\(\(\dfrac{1}{3^4} = \dfrac{1}{81}\)\)

Therefore, \(\((-1/3)^4\)\)simplifies to  \(\(\dfrac{1}{81}\)\).

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