The speed of sound, S, in meters per second, is a linear function of the temperature of the air through which
the sound travels. Air temperature, T, is measured in degrees Celsius and S=0.6T+331.4. Which of the
following is the best interpretation of the number 331.4 in the context?
a) The speed of sound in meters
per second at 0.6 degrees Celsius
c) The speed of sound in meters
per second at 0 degrees Celsius
b) The increase in speed of sound at 331.4 degrees
per degree of temperature
d) none of the above

Answers

Answer 1

Answer:

C

Step-by-step explanation:

S = .6T + 331.4    

When S = 331.4:

331.4 = .6T + 331.4    <=====you should be able to see this is true when T= 0


Related Questions

a bank's loan officer rates applicants for credit. the ratings are normally distributed with a mean of 210.0 and a standard deviation of 50.0. if an applicant is randomly selected, find the probability of a rating that is between 176.0 and 214.0.

Answers

The probability of a rating that is between 176 and 214 is,

                         [tex]P(176\leq x\leq 214)=0.21994[/tex]

Since the credit ratings are normally distributed.

Now,  apply the formula for normal distribution. Which is shown below,

                   [tex]z=\frac{x-u}{sd}[/tex]

x=credit ratings for applicants.

u=mean.

sd standard deviation.

From the given information,  µ = 210 and   σ = 50

For x = 176,

[tex]z=\frac{176-210}{50} =-0.68[/tex]

In the normal distribution table, the probability corresponding to the -0.68 z-score is 0.25175

For x =214,

[tex]z=\frac{214-210}{50} =0.08[/tex]

In a normal distribution table, the probability corresponding to the z score of 0.08  is 0.03788

Thus,    

[tex]P(176\leq x\leq 214)=0.25175-0.03181=0.21994[/tex]

Hence, The probability of a rating that is between 176 and 214 is,

[tex]P(176\leq x\leq 214)=0.21994[/tex]

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Read the following statement: If meX = mY and mY = meZ, then m2X = m Z. This statement demonstrates:
the substition property.
the refexive property.
the symmetric property.
the transitive property.

Answers

If meX = mY and mY = meZ, then meX = meZ. This statement demonstrates

the transitive property.

What is transitive property?

According to the transitive property, all the quantities are equal to each other if two quantities are equal to the third quantity.

For the given problem,  if meX = mY and mY = meZ, then meX = meZ

The two properties that are equal is meX and mY

since mY is also equal to meZ then transitive property says that meX and meZ are still equal

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Question 20

A rectangular courtyard has a cement walkway around its perimeter. The area of the courtyard can be represented by the expression 24(5x - 1).

The area of the cement walkway can be represented by the expression 32(5x-1 + 8)- 24(5x-1). Write an equivalent expression that

represents the area of the cement walkway.square yards

Answers

Answer:

Step-by-step explanation:

The area of the courtyard is given by the expression 24(5x - 1), and the area of the cement walkway is given by the expression 32(5x-1 + 8)- 24(5x-1). To find an equivalent expression for the area of the cement walkway, we can first distribute the 32 and the 24 in the second expression to get:

Area of cement walkway = 32 * (5x-1 + 8) - 24 * (5x-1)

= 32 * 5x-32 - 24 * 5x+24 + 32 * 8 - 24

= 160x-1024 - 120x+576 + 256 - 24

= 40x-448 + 256 - 24

= 40x-192

Therefore, an equivalent expression for the area of the cement walkway is 40x - 192. This expression represents the area of the cement walkway in square yards.

what is 4+4? 4+4 is 8

Answers

Answer: 8

Step-by-step explanation:

4+4 is the same as 4 times 2

They both equal to 8

I think the answer is 8

suppose that frida selects a ball by first picking one of two boxes at random and then selecting a ball from this box at random. the first box contains three white balls and two blue balls, and the second box contains four white balls and one blue ball. what is the probability that frida picked a ball from the first box if she has selected a blue ball? (enter the value of the probability in decimal format and round the final answer to one decimal place.)

Answers

If Frida chose a blue ball, there is a 3/4 probability that she chose a ball from the first box.

What is probability?

The probability is calculated by dividing the total number of possible outcomes by the number of possible ways the event could occur.

Probabilistic and odds are two distinct ideas.

Odds are determined by dividing the likelihood of an event by the likelihood that it won't.

So, we have:

Initial box:

3 white balls

2 blue balls.

Next box:

4 white balls.

1 blue ball.

If Frida chose a blue ball, the likelihood that she chose a ball from the first box is:

Probability (P) = (required outcome / Total possible outcomes)

Probability of picking the first box : P(F) = 1/2

Probability of not picking the second box :P(S) 1/2

Probability of picking blue from the first box : P(B | F) = 3/5

Probability of picking blue, but not from the first box : P(Blue not from the second box) P(B|S) = 1/5

If Frida chose a blue ball, there is a chance she chose a ball from the first box:

P(F) * P(B|F) ÷ (P(F) * P(B|F)) + (P(S) * P(B|S))

(1/2 * 3/5) ÷ ((1/2 *3/5) + (1/2 * 1/5)

3/10 ÷ (3/10 + 1/10)

3/10 ÷ 4/10

3/10 * 10/4

= 3/4

Therefore, if Frida chose a blue ball, there is a 3/4 chance that she chose a ball from the first box.

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an airplane travels 5032 kilometers against the wind in 8 hours and 6152 kilometers with the wind in the same amount of time. what is the rate of the plane in still air and what is the rate of the wind?

Answers

The rate of the plane in still air is 644 kilometers per hour. The rate of the wind is 72 kilometers per hour.

To calculate the rate of the plane in still air and the rate of the wind, we can use the formula Rate = Distance/Time. To calculate the rate of the plane in still air, we can use the distance of 5032 kilometers and the time of 8 hours to get a rate of 644 kilometers per hour. To calculate the rate of the wind, we can subtract the rate of the plane in still air (644 kilometers per hour) from the rate of the plane with the wind (6152 kilometers per hour) to get a rate of 72 kilometers per hour. Therefore, the rate of the plane in still air is 644 kilometers per hour and the rate of the wind is 72 kilometers per hour.

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a man 6 feet tall walks at a rate of 5 ft / sec away from a light that is 15 feet above the ground. when he is 10 feet from the base of the light, at what rate is the tip of his shadow moving?

Answers

On solving the provided question we can say that - rate is the tip of his shadow moving is [tex]d/dt ( s-x) = ds/dt - dx/dt = 25/3 - 5 = 25/3 - 15/3 = 10/3 ft/s = 10/3 ft/s[/tex]

What is triangle?

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is a graphical representation of a triangle having vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is what? A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

triangles and the ratios

15 ft            s

-------- = --------------

6 ft           s-x

Using cross products

[tex]15( s-x) = 6s\\15s -15x = 6s\\15s-6s = 15x\\9s = 15x\\s = 15/9 x\\s = 5/3 x[/tex]

Taking the derivative of each side with respect to time

[tex]ds/dt = 5/3 dx/dt\\We know dx/dt = 5 ft/s\\ds /dt = 5/3 * 5 = 25/3 ft/s\\a) ds/dt = 25/3 ft/s[/tex]

The length of the shadow is ( s-x)

[tex]d/dt ( s-x)\\ds/dt - dx/dt\\25/3 - 5\\25/3 - 15/3\\10/3 ft/s\\b) 10/3 ft/s[/tex]

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Select the graph for the solution of the open sentence. Click until the correct graph appears.

3|x| > 6

Answers

Answer:

third one:

x<-2 or x>2

Step-by-step explanation:

Answer:

third one

Step-by-step explanation:

]

an online retailer determines that people click on a particular advertisement 2\%2%2, percent of the times it appears. let vvv be the number of times the advertisement appears to get the first person to click on it. assume each click is independent. find the probability that a person first clicks on the advertisement the 8^{\text{th}}8 th 8, start superscript, start text, t, h, end text, end superscript time it appears. you may round your answer to the nearest hundredth.

Answers

The probability of the event that a person first clicks on the advertisement the 8th time it appears is approximately 0.0177 (rounded to the nearest hundredth).

To find the probability that a person first clicks on the advertisement the 8th time it appears (vvv = 8), we can use the geometric probability formula:

[tex]P(X = k) = (1 - p)^{(k-1)}* p[/tex]

where:

P(X = k) is the probability of the event occurring on the kth trial,

p is the probability of success (clicking on the advertisement) on a single trial, which is 2% or 0.02 in decimal form,

k is the number of trials (number of times the advertisement appears) until the first success (first click).

In this case, k = 8 (the 8th time the advertisement appears) and p = 0.02.

[tex]P(X = 8) = (1 - 0.02)^{(8-1)} * 0.02\\P(X = 8) = (0.98)^7 * 0.02[/tex]

P(X = 8) ≈ 0.0177

So, the probability of the event that a person first clicks on the advertisement the 8th time it appears is approximately 0.0177 (rounded to the nearest hundredth).

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What are the vertex and range of y = |2x 6| 2? (0, 2); 2 < y < [infinity] (0, 2); −[infinity] ≤ y < [infinity] (−3, 2); 2 < y < [infinity] (−3, 2); −[infinity] ≤ y < [infinity]

Answers

The vertex of the function is (-3,3) when the function is y=|2x+6|+3 and the range is -∞<y<∞.

Given that,

The function is y=|2x+6|+3

We have to find the vertex and range.

We know that,

What is function?

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. This special sort of relationship is what it is called.

So,

|2x+6|=0

2x=-6

x=-6/2

x=-3

Now,

y=|2(-3)+6|+3

y=|-6+6|+3

y=3

The vertex is (-3,3)

Therefore, The vertex of the function is (-3,3) when the function is y=|2x+6|+3 and the range is -∞<y<∞.

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I can really use some help anyone?

Answers

The linear inequality to represent the number of seashell is w ≥ 14 and the graph is attached below

Linear Inequality

Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, ‘<’, ‘>’, ‘≤’ or ‘≥’. These values could be numerical or algebraic or a combination of both.

In this problem, Ernest needs at least 14 seashells and he plans to glue 30 seashells on the wall.

An inequality to represent this will be

w ≥ 14

The reason why we are using greater than or equal to sign in this problem is that we need "at least" 14 seashells or more than seashells on the wall.

b)

Kindly find attached below the inequality below.

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The distribution of scores on a recent test closely followed a Normal Distribution with a mean of 22 points and a standard deviation of 2 points. For this question, DO NOT apply the standard deviation rule.(a) What proportion of the students scored at least 26 points on this test, rounded to five decimal places? (b)What is the 31 percentile of the distribution of test scores, rounded to three decimal places?

Answers

Using z-scores the answers are found to be, part(a) 0.02280 and part(b) = 22.980 points

What is z-score?

Z-score is a value that describes the deviation of a value from the standard deviation. Z-score is the number of standard deviations a given data point lies above or below mean.

What is the formula for z-score?

The formula for z-score is,

z = (x - µ) / a

where µ is the mean of data set and a is the standard deviation of the data

For part (a),

z = 26-22/2

z = 2.00

P(x>26) = 0.5 - 0.4772

P(x>26) = 0.02280

For part(b),

To find the value of x we first need to find the value of z-score. z-score at 100 - 31 - 50 = 19% = 0.19

At an area of approximately 0.19, the z-score is 0.49

Using above formula, 0.49 = (x -22)/2

x = 22.980

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what is the size of angle ADC
what is the size of angle ADB

Answers

Answer:

∠ADC = 58°∠ADB = 37° BD is a diameter

Step-by-step explanation:

You want to know the measures of angles ADB and ADC given that inscribed angle BAC is 21° and exterior angle CBE is 58°.

Exterior angle

Angle CBE is exterior to triangle CBA with remote interior angles BAC (21°) and ACB. The exterior angle is equal to the sum of the remote interior angles, so ...

  ∠CAB +∠ACB = ∠CBE

  21° +∠ACB = 58°

  ∠ACB = 37° . . . . . . . . subtract 21°

a) ∠ADC

The measure of an inscribed angle is half the measure of the arc it intercepts. This means the measures of all inscribed angles that intercept the same arc are the same.

  ∠ADB = ∠ACB = 37°

  ∠BDC = ∠CAB = 21°

By the Angle Addition theorem, ...

  ∠ADC = ∠ADB +∠BDC = 37° +21°

  ∠ADC = 58°

b) ∠ADB

As we just saw, ...

  ∠ADB = 37°

c) BD

For angle CAD = 69°, the total of the inscribed angles with vertex A is ...

  ∠CAD +∠CAB = ∠BAD

  69° +21° = 90° = ∠BAD

This means angle BAD intercepts an arc BD of 180°, hence segment BD is a diameter.

__

The attached figure is accurately drawn.

the average height of women in the united states is 62 inches with a standard deviation of 2 inches. what is the height of a woman who is 1 standard deviations below the mean?

Answers

1) To find a standardized score (z-score), take the individual core minus the mean, then divide by the standard deviation: z = (score - mean)/ SD

Shuri's standardized score would be: z = (69.5 - 65)/2.5 = 1.8

2) First, find the z-score for 62 in: z= (62 - 65) / 2.5 = -1.2

Next, look up -1.2 in a z-table. The corresponding number in the table is .1151.

Multiple this number by 100 to get a percentage: .1151 * 100 = 11.51%

Thus 11.51% of people will be less than 62 inches.

3) Outliers are defined differently dependent on who you ask, often values that are 3 standard deviations (or more) above or below the mean are considered an outlier.

Use the same formula for finding a z-score: z= (score - mean)/ SD

For the taller height use 3:

3= (x - 65)/2.5

Do a little algebra and you get: 3(2.5) + 65 = x thus x = 72.5 or taller

For the shorter height, use -3:

-3(2.5) + 65 = x thus x = 57.5 or shorter

If you need to use a different value for an outlier, then use that number in place of +/- 3.

Hence we get the desired answer.

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Your question is incomplete. Please find the missing content below.

A sample of 300 adult women finds that their heights are approximately Normally distributed with an average height of 65 inches and a standard deviation of 2.5 inches.

1) Shuri is 69.5 inches tall. What is her standard score for height?

2) How many women in the sample would you expect to be less than 62 inches tall?

3) How tall or short would a woman have to be to be considered an outlier? Show your work.

Which number line shows the solution to the inequality -2(3x - 1) < 8?

Answers

Answer: B

Step-by-step explanation:

1. multiply (-3x+1) by -2 to get -6x+2 -> -6x+2<8

2. then subtract 2 from both sides, -6x+2 -2 < 8 -2 -> -6x<6

3. divide both sides by -6, when dividing an inequality, the inequality symbol switches so you'd have x > -1

so the answer would be B

the number of pieces of cat food in a one-cup scoop is approximately normally distributed with a mean of 344 pieces and a standard deviation of 16 pieces. if a random sample of 28 scoops of cat food is selected, what is the probability that the mean number of pieces will be more than 350 pieces?

Answers

Answer:

the probability that the mean number of pieces in a sample of 28 scoops is more than 350 pieces is approximately 0.0228

Step-by-step explanation:

To find the probability that the mean number of pieces in a sample of 28 scoops is more than 350 pieces, we can use the normal distribution.

The standard error of the mean for a sample of size 28 is the standard deviation of the population divided by the square root of the sample size, or 16 / sqrt(28) = 2.8.

This means that the distribution of the sample means is approximately normally distributed with a mean of 344 pieces and a standard error of 2.8 pieces.

To find the probability that the sample mean is more than 350 pieces, we can use the cumulative distribution function of the normal distribution. In this case, we want to find the probability that a normally distributed random variable is greater than 350.

Using a normal distribution calculator or table, we can find that the probability that a normally distributed random variable with a mean of 344 and a standard error of 2.8 is greater than 350 is approximately 0.0228.

Therefore, the probability that the mean number of pieces in a sample of 28 scoops is more than 350 pieces is approximately 0.0228.

2x2x2x3x3 = ?⁵
does this work or not?
Why?

Answers

2 x 2 x 2 x 3 x 3 = 72

Exponential form:

2^3 x 3^2

You earn 15n dollars for mowing n lawns. How much do you earn for mowing 1 lawn? 7 lawns?

Answers

Answer:

Step-by-step explanation:

You plug in the number of lawns mowed for "n"

So 1 lawn would be 15(1)  (15 times 1)

15(1)=15

15(2)=30

15(3)=45

15(4)=60

15(5)=75

15(6)=90

15(7)=105

15(8)=120

15(9)=135

15(10)=150

and so on

Solve | x + 5 | - 6 = 7

Answers

Answer:

x=8

Step-by-step explanation:

|x+5|−6=7

|x+5|−6+6=7+6

|x+5|=13

|x+5|=13

x+5=13

x+5−5=13−5

x=8

Brainliest Please?

PLEASE HELP (attached image)

Answers

Answer:3

Step-by-step explanation: if you fo it wrong so thats the answer

Please help meeeeee !!????!!!!

Answers

Answer: She fills 2 full boxes and has 3 animals left over.

Step-by-step explanation: To find how many full boxes she can fill, we can do 5 x 2, without going over. So, 5 x 2 is 10, so now we subtract 10 from 13 and get 3, so this explains that we that she can fill 2 FULL boxes, yet have 3 animals LEFT OVER. I hoped this helped!

Answer:

2 boxes can be filed completely with 3 stuffed animals left over.

Step-by-step explanation:

Take the number of stuffed animals (13) and dive that by the number that will fit in each box (2).  The remainder is how many extra stuffed animals are left.

13 ÷ 2 = 5 remainder 3

2: Angle 1 and Angle 4 are vertical angles. If the measure of angle 1 equals 3x + 14 and the
measure of angle 4 equals 5x − 52, what is the measure of Angle 1?
3: Suppose that ∠ = 3x + 8 and ∠ = 2/3x + 62
If ∠ and ∠ are supplementary
angles, what is the measure of ∠?
4:Angle 2 and Angle 3 are vertical angles. If the measure of angle 2 equals 13x + 27 and the
measure of angle 3 equals 9x + 59, find the value of .
5: Suppose that m∠ABC = 163° and ∠XYZ = 5x + 2. If ∠ABC and ∠XYZ are supplementary
angles, determine the value of x

Answers

2. The measurement of angle 1 is 113°

3. The measure of ∠1 = 98° and ∠2 = 82°

4. The value of x is 8.

5.  The value of x is 3.

What is the supplementary angle?

Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°.

2.

Given that, ∠1 and ∠4 are vertical angle.

According to the vertical angle theorem, if two angles are vertical then they are congruent.

Therefore,

∠1 = ∠4

3x + 14 = 5x − 52

Subtract 5x from both sides:

3x - 5x + 14 = -52

-2x + 14 = -52

Subtract 14 from both sides:

-2x = -66

x = -33

Putting x = -33 in ∠1 = 3x + 14

∠1 = 3× 33 + 14 = 113°

3.

Given that, ∠1 = 3x + 8 and ∠2 = 2/3x + 62 are supplementary angles.

Therefore ∠1 + ∠2 = 180°

3x + 8 + 2/3x + 62 = 180°

11/3 x + 70 = 180°

Subtract 70 from both sides:

11/3 x = 110

x = 110 × (3/11)

x = 30

Putting x = 30 in ∠1 = 3x + 8 and ∠2 = 2/3x + 62

∠1 = 3x + 8 = 3×30 + 8 = 98°

∠2 = 2/3x + 62 = (2/3)×30 + 62 = 82°

4.

Given that, Angle 2 and Angle 3 are vertical angles. If the measure of angle 2 equals 13x + 27 and the measure of angle 3 equals 9x + 59.

Therefore,

∠2  = ∠3

13x + 27 = 9x + 59

Subtract 9x from both sides:

13x - 9x + 27 = 9x -9x +59

4x +27 = 59

Subtract 27 from both sides:

4x = 32

x = 8

5. Given that m∠ABC = 163° and ∠XYZ = 5x + 2 are supplementary angles.

m∠ABC + m∠XYZ =180°

163° + 5x + 2 =180°

165 + 5x = 180

Subtract 165 from both sides:

5x = 15

x = 3

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Answer:

2)  m∠1 = 113°

3)  98° and 82°

4)  x = 8  

    Angles = 131°

5)  x = 3

Step-by-step explanation:

Question 2

If Angle 1 and Angle 4 are vertical angles, then according the Vertical Angles Theorem they are congruent.

Therefore:

⇒ m∠1 = m∠4

⇒ 3x + 14 = 5x - 52

⇒ -2x + 14 = -52

⇒ -2x = -66

⇒ x = 33

To find the measure of Angle 1, substitute the found value of x into the expression for the angle:

⇒ m∠1 = 3x + 14

⇒ m∠1 = 3(33) + 14

⇒ m∠1 = 99 + 14

⇒ m∠1 = 113°

Question 3

Given:

∠ = 3x + 8∠ = ²/₃x + 62

If the angles are supplementary, they sum to 180°:

⇒ 3x + 8 + ²/₃x + 62 = 180

⇒ ¹¹/₃x + 70 = 180

⇒ ¹¹/₃x = 110

⇒ 11x = 330

⇒ x = 30

Substitute the found value of x into the expressions for the angles:

⇒ ∠ = 3x + 8

⇒ ∠ = 3(30) + 8

⇒ ∠ = 98°

⇒ ∠ = ²/₃x + 62

⇒ ∠ = ²/₃(30) + 62

⇒ ∠ = 82°

Question 4

If Angle 2 and Angle 3 are vertical angles, then according the Vertical Angles Theorem they are congruent.

Therefore:

⇒ m∠2 = m∠3

⇒ 13x + 27 = 9x + 59

⇒ 4x + 27 = 59

⇒ 4x = 32

⇒ x = 8

Substitute the found value of x into the expressions for the angles:

⇒ m∠2 = 13x + 27

⇒ m∠2 = 13(8) + 27

⇒ m∠2 = 104 + 27

⇒ m∠2 = 131°

⇒ m∠3 = 9x + 59

⇒ m∠3 = 9(8) + 59

⇒ m∠3 = 72 + 59

⇒ m∠3 = 131°

Question 5

Given:

m∠ABC = 163° m∠XYZ = 5x + 2

If ∠ABC and ∠XYZ are supplementary, they sum to 180°:

⇒ m∠ABC + m∠XYZ = 180°

⇒ 163 + 5x + 2 = 180

⇒ 5x + 165 = 180

⇒ 5x = 15

⇒ x = 3

02.03 Focus Questions


What are linear equations and functions?
What are the different ways of representing a linear function?
How are key features of a linear function identified and interpreted from a graph?
How are key features of a linear function identified and interpreted from a table?
How are key features of a linear function identified and interpreted from an equation?
How are key features of a linear function identified and interpreted from a description?

Answers

Linear functions are those whose graph is a straight line and it has the following form. y = f(x) = a + bx.

There are several ways to represent a linear function such ad word form, function notation, tabular form, and graphical form.

The key features of a linear function identified and interpreted from a description as an increasing linear function results in a graph that slants upward from left to right and has a positive slope.

What is a linear function?

A linear function can be expressed as a point slope or a line with a slope intercept. The ordered pairs will represent points on the line where a table of values representing the function is provided. According to the values in the table, the gradient of the line is a ratio of rise to run. The gradient and initial value of the function are shown in slope intercept form.

A graph with a positive slope and a left-to-right slope is produced by an increasing linear function. A graph with a negative slope and a left-to-right slant is produced by a decreasing linear function. A graph with a constant linear function looks like a horizontal line.

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Jay has an album that holds 500 stamps. Each page of the album holds 5 stamps. If 21% of the album is empt, how many pages are filled with stamps?

Answers

Answer: 79 pages

Step-by-step explanation:

100% - 21% = 79%

So we know that Jay has 79% of the stamps

79% = 0.79

Take 500 times 0.79 = 395 stamps

Then we take 395 divided by 5 = 79 pages

So, 79 pages are filled with stamps

7/15 * (9/-28)...pls answer fast!!,step by step explanation plsssssssssss

Answers

The value of the fraction 7/15 * (9/-28) is - 3/20.

How to calculate the fraction?

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

On the other hand, a fraction appears in the numerator or the denominator of a complex fraction. The value will be:

= 7/15 * (9/-28)

= -63 / 420

= -3/20

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passes through the points (-2,-9) and (4, -6)

Answers

y=1/2x-8 is the equation of line passing through points  (-2,-9) and (4, -6) is

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The points are (-2,-9) and (4, -6)

Slope=-6+9/4+2

=3/6=1/2

Let us find the y intercept by the point (-2, -9)

-9=1/2(-2)+b

-9=-1+b

-9+1=b

-8=b

Hence, the equation of line passing through points  (-2,-9) and (4, -6) is y=1/2x-8.

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PLEASE HELP ASAP WILL MARK YOU BRAINIEST!!

Answers

Answer:

A , E

Step-by-step explanation:

side of the square = 10

there are 4 side in the perimeter

10 · 4 = 40


the radius of the semicircle is the value of the side of the square = 10

there are two equals semicircle, so the total perimeter of these shapes is equal to a complete circle

10 · 2 · π = 20π


total perimeter

40 + 20π


that can be expanded in

10 + 10 + 10π + 10 + 10 + 10π

Find the radius of the circle which circumference is 22 cm. ​

Answers

Answer:

3.5 cm

Step-by-step explanation:

Circumference: C = 2πr

so radius r = C/2π = 22/2π = 3.5 cm

is tangent to circle A at point G. If AG = 8 and GI = 15, determine the length of .

1) 17 units
2) 18.3 units
3) 15 units
4) 12.7 units

Answers

Answer:

hope u want to know the length of AH.

it is 17 units

Step-by-step explanation:

AGH is 90° (tangent )

AG is 8 units and GH is 15 units (Data)

so using Pythegorus theorem

AG² + GH² = AH²

gives √(8²+15²)

= 17 units

Make x the subject of m=n+x/p

Answers

Answer:

x = mp - np

Step-by-step explanation:

Make x the subject of m = n + x/p

m = n + x/p

subtract n from both sides:

m - n = n + x/p - n

m - n = x/p

multiply both sides by p:

p(m - n) = p(x/p)

x = p(m - n)

distribute p on right side:

x = mp - np

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