Write an equation in slope-intercept form of the line with the given
characteristics.
slope = 2/5
; passes through (–3, 1)

To find the area of the sas triangle with side lengths 29 and 36 and included angle 62 degrees.

Area of the sas triangle with side lengths 29 and 36 and included angle 62 degrees is 459.36.

A triangle's feature known as SAS, or "Side, Angle, Side," has two sides and an angle that are both known.

The space occupied between the sides of the SAS triangle in a plane can thus be calculated with the use of the SAS triangle area formula.

The formula to find area of SAS triangle is:

Area = ½ ab Sin C = ½ × 29 × 36 × sin 62

Thus, Area = 522 × sin 62 = 522 × 0.88 = 459.36

Hence the answer is, Area of SAS triangle with side lengths 29 and 36 and included angle 62 degrees is 459.36.

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Answer:

0.79 dollars

Step-by-step explanation:

Divide 3.95 by five to find the cost of one compass.

Answer:

ccccccccc

Step-by-step explanation:

The probability there is at least one pair is therefore 1−p.

acc to our question-

hence,The probability there is at least one pair is therefore 1−p.

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The solution for f(3) in the function when the function f(x) = 0.75(10 - x) + 1 is 6.25

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

f(x) = 0.75(10-x)+1

To make the equation legible, we need to rewrite it

So, we have the following representation

f(x) = 0.75(10 - x) + 1

Also from the question, we have

f(3)

This means that the value of x is 3, and we calculate f(x) when x = 3

Substitute the known values in the above equation, so, we have the following representation

f(3) = 0.75(10 - x) + 1

So, we have the following equation

f(3) = 0.75(10 - 3) + 1

There are constants to add or subtract to both sides of the equation

Also, there are factors to multiply or divide from both sides of the equation

So, we have the following representation

f(3) = 0.75 * 7 + 1

Solving further, we have

f(3) = 5.25 + 1

Evaluate the sum

f(3) = 6.25

Hence, the solution is 6.25

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Possible question

Given f(x) = 0.75(10-x)+1, find f(3).

a) About 4.16% of test takers earn a score less than 500 on the GRE Chemistry test.

b) About 96.64% of test takers earn a score greater than or equal to 900 on the GRE Chemistry test.

c) The estimated score at the 99th percentile on the GRE Chemistry test is approximately 954.512.

To answer these questions, we'll use the properties of the normal distribution and the given mean and standard deviation.

(a) To find the percentage of test takers who earn a score less than 500 on the GRE Chemistry test, we need to calculate the cumulative probability up to the score 500.

z-score = (X - mean) / standard deviation

where X is the score we are interested in.

z-score = (500 - 694) / 112

z-score ≈ -1.732

Now, we look up the cumulative probability for a z-score of -1.732 in the standard normal distribution table or use a calculator to find that the cumulative probability is approximately 0.0416 or 4.16%.

So, about 4.16% of test takers earn a score less than 500 on the GRE Chemistry test.

(b) To find the proportion of test takers who earn a score greater than or equal to 900, we need to calculate the cumulative probability from 900 to positive infinity.

z-score = (X - mean) / standard deviation

where X is the score we are interested in.

z-score = (900 - 694) / 112

z-score ≈ 1.839

Now, we look up the cumulative probability for a z-score of 1.839 in the standard normal distribution table or use a calculator to find that the cumulative probability is approximately 0.9664 or 96.64%.

So, about 96.64% of test takers earn a score greater than or equal to 900 on the GRE Chemistry test.

(c) To estimate the score at the 99th percentile on the GRE Chemistry test, we need to find the value that separates the lowest 99% of the scores from the highest 1%.

We use the z-score formula to find the z-score corresponding to the 99th percentile:

z-score = invNorm(0.99)

z-score ≈ 2.326

Now, we use the z-score to find the score corresponding to the 99th percentile:

X = mean + (z-score * standard deviation)

X = 694 + (2.326 * 112)

X ≈ 694 + 260.512

X ≈ 954.512

So, the estimated score at the 99th percentile on the GRE Chemistry test is approximately 954.512.

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Answer:

35

Step-by-step explanation:

18+17=35

Answer:  E has no solution

Step-by-step explanation: It is a contradiction

Answer:

12

Step-by-step explanation:

3x4

Answer:

A

Step-by-step explanation:

40% = 40/100 = 4/10 = 2/5

2/5 * 2/5 = 4/25 = 0.16

The total amount that a customer will pay for the jeans is $33.696.

From the information given, pair of jeans at a local retail store has a cost of $32.00. If the sales tax is 5.3%,

The value of the sales tax will be:

= Sales percentage × Amount

= 5.3% × $32

= $1.696

The total amount paid will be:

= Cost + Tax

= $32 + $1.696

= $33.696

The amount is $33.696.

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Answer:

2728

Step-by-step explanation:

Answer:

20 sq units

Step-by-step explanation:

A quick sketch graph will show the right angle is at (-3 ,4)

The lengths of the shorter sides are both sqrt(2^2 + 6^2) = sqrt(40)

Area = 1/2 x (sqrt(40))^2 = 20

If you didn’t have a right angle you could find the lengths of all sides a, b and c

Calculate the semi perimeter s = (a+b+c) / 2

And the area = sqrt(s(s-a)(s-b)(s-c))

Try and use this method to check the first one

Answer:

It Should be B because You need to add all of the pounds and subtract it by six

Step-by-step explanation:

Answer: A. 4/3 x

Step-by-step explanation:

x miles in 90 minutes to ? miles in 120 minutes

90 miles to 120 miles is 1.3333 which is equal to 4/3.

Multiply it to x and you have A. 4/3x

Answer:

1:38

Step-by-step explanation:

i think that is the answer

Answer: Its started driving through the neighborhood at 1:37

Step-by-step explanation:

Answer:

x<1

Step-by-step explanation:

10-2x-6<15-4x-9 (distributive property)

4-2x<6-4x (simplified both sides)

-2x<2-4x (1st step to get x isolated)

2x<2 (2nd step to get x isolated)

x<1 (divide 2 from each side)

and that's how! :)

Answer:

Step-by-step explanation:

the answer would be 1 and 2/3

3 goes into 5 one time and you have 2 left

Answer:

Step-by-step explanation:

Answer:

Only cheddar 10 pounds

Only swiss 6 pounds

Use the equation to find out different combinations.

3x + 5y = 30

For example, 1 pound of cheddar and 5.4 pounds of swiss.

Step-by-step explanation:

Let x = cheddar

Let y = swiss

3x + 5y = 30

If we only wanted cheddar let y be 0

3x =30  Divide both sides by 3

x = 10

You can buy 10 pounds of cheddar.

If we only wanted swiss let x be 0

5y = 30  Divide both sides by 5

y = 6

You can buy 6 pounds of swiss.

1 pound of cheddar:

3(1) + 5y = 30  Subtract 3 from both sides

5y = 27  Divide both sides by 5

y = 5.4

The range of the function f(x) = 2(3)x is best described by y > 0. Particularly the function when the constant is e, a function whose value is a constant raised to the power of the argument.

The difference between the lowest and highest values in a list or set is known as the range. Put all the numbers in order before determining the range. The lowest number should then be subtracted from the highest. The range of the list is provided in the response. The difference between the highest and lowest values for a particular data collection is the range in statistics. For instance, the range will be 10 - 2 = 8 if the provided data set is 2, 5, 8, 10, and 3. As a result, the range may alternatively be thought of as the distance between the highest and lowest observation.

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The cost of per ounce of water at store A is $0.08 and at store B is $0.07  , the water in the store B  will cost less per ounce .

In the question ,

it is given that

in store A the cost of 16 ounce of water is $1.28 ,

so the cost of 1 ounce of water in store A is = 1.28/16

= $0.08

in store B the cost of water is represented by the equation

y = 0.07x

where "x" is the number of ounces of water ,

which means

the cost of 1 ounce of water in store B is = $0.07

hence , the water in store B will cost less  .

Therefore , The cost of per ounce of water at store A is $0.08 and at store B is $0.07  , the water in the store B  will cost less per ounce .

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We list the operations done between two functions below:

In this problem we find three functions, two of them defined by quadratic equations (f(x), g(x)) and the other defined by a linear equation (h(x)). There are five operations that can be used b two functions:

Now we proceed to determine the result of each operation:

Case 1:

g(x) / h(x) = (4 · x² + 2 · x - 1) / (2 · x - 3)

Case 2:

h(x) - g(x) = (2 · x - 3) - (4 · x² + 2 · x - 1)

h(x) - g(x) = - 4 · x² - 2

Case 3:

h(f (x)) = 2 · (3 · x² + 2) - 3

h(f (x)) = 6 · x² + 1

Case 4:

f(x) + g(x) = (3 · x² + 2) + (4 · x² + 2 · x - 1)

f(x) + g(x) = 7 · x² + 2 · x + 1

Case 5:

h(f(x)) = 6 · x² + 1

h(f(2)) = 6 · 2² + 1

h(f(2)) = 25

Case 6:

f(h(x)) = 3 · (2 · x - 3)² + 2

f(h(x)) = 3 · (4 · x² - 12 · x + 9) + 2

f(h(x)) = 12 · x² - 36 · x + 29

f(h(3)) = 12 · 3² - 36 · 3 + 29

f(h(3)) = 29

Case 7:

g(x) + h(x) = (4 · x² - 12 · x + 9) + (2 · x - 3)

g(x) + h(x) = 4 · x² - 10 · x + 6

g(2) + h(2) = 4 · 2² - 10 · 2 + 6

g(2) + h(2) = 2

Case 8:

2 · f(x) - g(x) = 2 · (3 · x² + 2) - (4 · x² + 2 · x - 1)

2 · f(0) - g(2) = 2 · (3 · 0² + 2) - (4 · 2² + 2 · 2 - 1)

2 · f(0) - g(2) = 4 - 19

2 · f(0) - g(2) = - 15

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Ratio of the sundae with nut to total number is 2:3.

The ratio will be written as numerator and denominator seperated by colon. The numerator will be number of sundae with nut and denominator will be total number of sundae. So, writing the numbers in mentioned description of ratio.

Ratio of the number of sundae with nut to the total number of sundae = 4 : 6

The ratio can be further simplified by dividing both numerator and denominator by 2.

Ratio of the number of sundae with nut to the total number of sundae = 2 : 3

Thus, the required ratio fo sundae is 2:3.

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The equation of linear function is y=x-1.

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.

The given values are

x=1, y=0

x=2, y=1

x=3, y=2

x=4, y=3

The table represents that for the value of x the value of y is x-1,

Since for any two points from the table, let (1,0) and (2,1)

The slope = 2-1/1-0 = 1

And the interception of y is 0 when x=1

Therefore, the equation of the function can be written as,

y=x-1

Y=x-1 is the required equation.

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Answer:

it's D of the triangles legs this is the answer

We have proved that triangles QNR and RMQ are congruent.​

What is an isosceles triangle?

An isosceles triangle is a triangle with at least two equal-length sides in geometry. It is sometimes specified as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter version including the equilateral triangle as a special case.

∠MRQ ≅ ∠NQR . . . . given

QR ≅ RQ . . . . reflexive property

∠PQR ≅ ∠PRQ . . . . property of isosceles triangle PQR

ΔQNR ≅ Δ RMQ . . . . ASA postulate

Hence, we have proved that triangles QNR and RMQ are congruent.​

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The appropriate t-multiplier for a 95% confidence interval for the mean μ is t(0.025,14) = 2.15.

Given:

The t-multiplier for a 95% confidence interval for a population mean, using a well-behaved sample of size 14.

It is the 97.5%-quantile of the t-distribution with 14 degrees of freedom.

In the figure the dashed line shows the value such that the yellow shaded area has size 0.975: the 97.5%-quantile is the value such that 97.5% of the probability mass is to the left of it and the rest to the right.

so t - multiplier = 2.15.

Therefore the appropriate t-multiplier for a 95% confidence interval for the mean μ is t(0.025,14) = 2.15.

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The value of cosC is 8/17.

What is the trigonometric ratio?

Trigonometric ratios are the ratios of a right triangle's sides. The sine (sin), cosine (cos), and tangent (tan) are three often used trigonometric ratios. There are other trigonometric ratios which are reciprocals of these ratios.

Trigonometric ratios can be computed either using the provided acute angle or by calculating the ratios of the right-angled triangle's sides.

In the figure,

Adjacent=CB=16

hypotenuse=AC=34

The formula for the cos function:

cos[tex]\theta[/tex]=adjacent/hypotenuse

cosC=16/34

divide 16 and 34 by 2 to simplify further

cosC=8/17

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