Write an equation of the line that goes through the point ( 15, 1 ) and is perpendicular ro the line y = 5x - 1

Answer:

yes

Step-by-step explanation:

(1:2)x2=9/18

yes the ratios 9:18 and 1:2 equivalent

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

We need to check whether the ratios 9:18 and 1:2 are equivalent.

Equivalent ratios are the ratios that are the same when we compare them.

Two or more ratios can be compared with each other to check whether they are equivalent or not.

Here the two ratios are 9:18 and 1:2

We can write 9:18 as fraction 9/18

When we simplify it we get 1/2

Hence, yes the ratios 9:18 and 1:2 equivalent

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Answer:

x=12

Step-by-step explanation:

(8x-20)+(8x+8)=180

16x-12=180

16x=180+12

16x=192

x=12

Answer:

x = 12

Step-by-step explanation:

The given angles are supplementary. Therefore, they have a sum of 180°.

8x - 20 + 8x + 8 = 180

16x - 12 = 180

16x = 192

x = 12

Answer:

He should keep his job.

Step-by-step explanation:

We know that there is a 70% chance that he willend up getting a 10% raise. A 10% raise will allow him to make 66000 dolllars, which is 1000 more than getting a new job.

There is a 30% chance that he will make about 3,100 dollars less than a new job. However, 30% is much lower than 70%, so this probably wont be the outcome. And over future years, if this remains constant, he will end up still making more money staying wiht his job.

Hope this helps!

Answer:

x=65°

Step-by-step explanation:

Next to x would be 70. (180-110=70).

Since this is an equilateral triangle, the other angle is also 70.

180-70-70=40, so the third angle is 40.

Since this is a right angle, the other angle is 50 (90-40=50).

Since that is 50, and this is an equilateral triangle, the other two angles have to be the same.

180-50=130

130÷2=65

Answer:

0.0555 meter =

55.5 millimeters

Answer:

55.5mm

Step-by-step explanation:

Answer:

I believe you can set the equations equal to each other and solve for x.

Step-by-step explanation:

reason being is that by definition, a line can be infinite, so in theory, those 2 lines can be equal.

1a. The percentage total return is -19.56%

1b. The dividend yield is 2.42%.

1c. The capital gains yield is -21.98%.

2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.

2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.

3a. The real return on long-term government bonds is 3.195%

3b. The real return on long-term corporate bonds is 3.291%

In Financial accounting, the percentage total return (P) can be calculated by using this formula;

P = [(Ending price - Initial price) + Dividend] ÷ Initial price

P = [(71 - 91) + 2.20] ÷ 91

P = -0.1956 or -19.56%

1b. For the dividend yield, we have:

Dividend yield = Dividend ÷ Initial price

Dividend yield = 2.20 ÷ 91

Dividend yield = 0.0242 or 2.42%

1c. For capital gains yield, we have:

Capital gains yield = (Ending price - Initial price) ÷ Initial price

Capital gains yield = (71 - 91) ÷ 91

Capital gains yield = -0.2198 or -21.98%.

Part 2.

a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.

b. For arithmetic average annual return in real terms, we have:

(1 + 0.145) = (1 + r)(1 + 0.044)

r = (1.145/1.044) - 1

r = 9.67%

Part 3.

a. For real return on the long-term government bonds, we would apply Fisher equation:

(1 + i) = (1 + r)(1 + h)

Where:

(1 + 0.066) = (1 + r)(1 + 0.033)

1 + r = 1.066/1.033

r = 3.195%

b. For real return on long-term corporate bonds:

(1 + 0.067) = (1 + r)(1 + 0.033)

1 + r = 1.067/1.033

r = 3.291%

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The most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.

Number is an abstract concept used to count or measure something. It is present in many aspects of our lives, from counting the number of people in a room to measuring a distance between two points. Numbers are also used to represent information and to quantify facts. We use numbers in mathematics, science, engineering, business, and many other fields. Numbers are also used in everyday life, such as for telling time, counting items, and measuring distances.

The most reasonable explanation for why Medera received zero calls between the hours of 3pm and 5pm is that Medera turned the phone off while playing in a soccer game. This can be seen by looking at the histogram, which shows that there were zero calls received around this time, while Medera was likely playing in the game. The graph also shows that Medera usually receives a cluster of calls at certain times. This is also evidence that she turned her phone off while playing in the game, as it would be unlikely that she would receive no calls if her phone was still on. Additionally, it is unlikely that Medera's phone can only receive 22 calls a day, as this would be an unusually low limit. Furthermore, it is unlikely that Medera lost her phone for two hours, as this would not explain why there were zero calls received. Therefore, the most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.

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The hours when no calls were received were most likely when Madera turned off the phone while practising soccer.

According to the question,

Madera, a middle school student, got phone calls from 10 a.m. to 10 p.m. on one Saturday.

From the scenarios presented, the one that would suggest this would be when Medera turned off his phone while playing soccer. This is because, her phone was turned off, it was not receiving any phone signal, which meant that no inbound calls were received during that time. Medara lost her phone for two hours, but even though she didn't have it with her, the phone was still on and connected to a network, indicating that calls were still streaming.

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For 95% of all randomly selected samples of n = 130 students, the

amount of sleep will be between \(P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\\\\\\).

According to the empirical rule, also known as the 68-95-99.7 rule.

The percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.

For 95% of all randomly selected samples of n = 130 students, the

amount of sleep will be between can be

\(P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\\\\\\)

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The required leaves values for the given stems are calculated below.

A plot where every information esteem is parted into a "leaf" (typically the last digit) and a "stem" (different digits). For instance "32" is parted into "3" (stem) and "2" (leaf). The "stem" values are recorded down, and the "leaf" values are recorded close to them.

For example , 42, 34, 48, and so on.

Here 42 and 48 qualities will be written in stem 4 as their most memorable digit is 4, while 2 and 8 will be placed in the leaf side.

Likewise, 3 will be the stem, and 4 will be the leaf for esteem 34.

4| 2, 8

3| 4

65​, 40​, 47​, 47​, 33​, 55​, 44​, 49​, 46​, 22​, 58​, 65​, 56​, 41​, 63​, 65​, 54​, 42​, 58​, 29​, 39​, 66 ​, 49​, 42​, 34​, 36​, 42​, 35​, 21​, 44​, 61​, 35​, 33​, 42​, 27​, 30​, 46​, 33​, 35​, 58.

As given in the question that the stem and Leaves are to be separated by a hyphen.

Stem-and-Leaf plot 6 -  5, 5, 3, 5, 6, 1

5 -  5, 8, 6, 4, 8, 8

4 -  0, 7, 7, 4, 9, 6, 1, 2, 9, 2, 2, 4, 2, 6

3 -  3, 9, 4, 6, 5, 5, 3, 0, 3, 5

2 -  2, 9, 1, 7

As we can see above there are 5 stems, where stem 6 has 6 leaves, stem 5 has 6 leaves, stem 4 has 14 leaves, stem 3 has 10 leaves, and stem 2 has 4 leaves.

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Answer:

  62,400 J

Step-by-step explanation:

As the problem statement tells you, the work done to lift the mass is the product of the force applied and the distance the mass is lifted. Here, the force decreases as the height of the mass increases.

For x meters of exposed cable, the force required to lift it is 3x newtons. The force required to lift the object is 1500 newtons, so the total force required to lift the masses an incremental distance (dx) is (3x +1500) newtons.

The work done lifting the mass that distance is the product of force and distance. The total work done is the integral of the incremental work over the total of distance lifted:

  \(\displaystyle W = \int_0^{40}(3x+1500)\,dx\)

The value of the integral is ...

  \(\displaystyle W=\left.\left(\dfrac{3}{2}x^2+1500x\right)\right|_{x=0}^{x=40}=40\left(\dfrac{1}{2}(3\cdot40)+1500\right)=62\,400\qquad\text{joules}\)

The work done to lift the cable and weight is 62,400 joules.

__

Additional comment

One reason for writing the integral evaluation this way is to demonstrate that the total of work done is that required to lift the weight (1500 N, 40 m) and that required to lift the center of mass of the cable (120 N, 20 m).

This will generally be the case for "disappearing mass" or "increasing distance" problems. Pumping from a pool is a similar kind of problem with a similar kind of solution.

Effectively, you're doing work on the center of mass of the system, moving it from its initial position to the top of the building.

Answer:

The answer is <

Step-by-step explanation:

The answer is < because -8 is less than 1

Hope that helped! Can I also get brainliest? I need a few more to advance, if not thank you anyways and have a nice day!!!

Answer:

\(\huge\boxed{\bf\:r > -4 }\)

Step-by-step explanation:

\(3(r+1)+2 > -7\)

Use the distributive property to solve 3 (r + 1).

\(3r+3+2 > -7 \\3r + 5 > -7\)

Now, bring 5 to the right hand side of the inequality .

\(3r > -7-5 \\3r > -12\)

Divide both sides of the inequality by 3.

\(r > \frac{-12}{3} \\\boxed{\bf\:r > -4 }\)

\(\rule{150pt}{2pt}\)

Answer:

about 78in^2

Step-by-step explanation:

A = \(\pi r^{2}\)

A = \(\pi 5^{2}\)

A = \(\pi * 25\)

A = 3.14 * 25

A ≈ 78\(in^{2}\)

Answer:

Step-by-step explanation:

27/54   = .54

4/5 = .80

.45 = 9/20

38% = 19/50

17/25 = 0.68

The algebraic expression that represents the total cost would be: A. 1.25r.

Given that the number of donuts Rick buys for his family is represented by letter "r", and we also know that:

cost of each donut = $1.25.

Using an algebraic expression, we can create a mathematical expression that shows the total cost for Rick to by a given number of donuts for his family.

Thus:

1 donut = 1.25

r donuts would cost: 1.25 × r = 1.25r.

Therefore, the algebraic expression that represents the total cost would be: A. 1.25r.

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Answer:

0

Step-by-step explanation:

just plug it into a calculator

Answer:

Step-by-step explanation:

4*2*6=48a

Answer:

$19.63 would be the sales tax on this

The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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The probability that the first two people to leave are science teachers is; 2/15

The parameters about the subject teachers are;

Number of maths teachers = 5

Number of Science Teachers = 6

Number of Social Studies Teachers = 5

Total number of teachers = 5 + 6 + 5

Total teachers = 16

Thus;

Probability that first to leave is a science teacher = 6/15

Probability that after the first leaves, the second to leave will be a science teacher = 5/15

Thus;

P(first two to leave are science teachers) = (6/15) * (5/15)

= 2/15

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The acceleration of the car is 8 m/s^2.

The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.

Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.

(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m

(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2

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The equation x³ + 4x = 1 has a solution between x = 0 and x = 1 can be explained by putting the values x = 0 and x = 1 in the equation.

It is given that the equation x³ + 4x = 1 is a cubic polynomial. Now, we make the equation in terms of equal to zero by taking 1 on the left-hand side of the equation.

x³ + 4x - 1 = 0.

Now first we put x = 0 in the equation we get;

f(0) = 0³ + 0 - 1

f(0) = -1

Now we put x = 1 in the equation we get:

f(1) = 1³ + 4×1 - 1

f(1) = 1 + 4 -1

f(1) = 4

Now, we can see that f(0) gives a negative value and the f(1) gives a positive value. This proves that the given equation that is x³ + 4x = 1 has a solution that lies between x = 0 and x = 1.

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Answer:

A. ok so lets make a alebra equation

2.75d+6.26

first of all they charge a certain amount per mile so thats why we multiply that by the number on miles then we add the base price of 6.26

B. ok so lets just plug in

77.76

Hope This Helps!!!

(a)

Given the info that Tito charges a $6.26 fee for a ride plus $2.75 for every ride, we derive

Y is the amount of money in total

X is the amount of miles for each ride

Algebraic Expression: Y=2.75X+6.26

(b)

Plugging in 23, we get

Y=2.75(230+6.26

Y=69.51

Answer Sentence: It would take $69.51 to travel 23 miles on TIto's taxi.

-Hunter

The perimeter of rectangle B is equal to 29 centimeters.

What does a perimeter mean?

The perimeter of a shape is the space surrounding it. Space inside a shape is measured by area. Learn how to compute the area and perimeter of various forms.

Given the area of the rectangle, A is equal to the area of rectangle B.

That is 2.5(4x)=(2x-3)7

10x=14x-21

4x=21

x=5.25

The perimeter of rectangle B is the sum of all sides= 2(2x-3+7)

The perimeter of B = 4x+8=29 cm.

Therefore perimeter of rectangle B is 29 centimeters.

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The interest paid for the loan is $1748

Given that there is a 6.1% interest rate for a loan of $28,654 in student loan debt pay in the first year,

We need to find the interest paid for the same.

So,

Simple Interest = principal × time × rate / 100

= 28654 × 1 × 6.1 / 100

= 28654 × 0.061

= 1747.894

= 1748

Hence the interest paid for the loan is $1748

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Complete Question

which on these linear equations best describe the given model

The description and diagram of the model is shown on the first uploaded image

Answer:

 The linear equation is \(y = -\frac{1}{4}x + 40\)

Step-by-step explanation:

Generally a linear equation is mathematically represented as

       \(y = mx+c\)

m is the slope which   can be obtained from the graph diagram as

             \(s = \frac{30 -20}{80 -40}\)

             \(s = \frac{1}{4}\)

Now this slope is a negative slope as seen from the diagram so

        \(s =-\frac{1}{4}\)

The intercept is  40 as seen from the graph

So the linear equation is

        \(y = -\frac{1}{4}x + 40\)

Answer:

sorry i need the points

Step-by-step explanation:

Answer: 12 students

Step-by-step explanation:

1/6 of 900 is 30 kids. and 2/5 of the 30 kids is 12

9514 1404 393

Answer:

  (d)  a translation of 6 units down, a rotation, and then a reflection

Step-by-step explanation:

Dilation by any scale factor other than 1 will prevent the original being congruent with its image. The only answer choice with no dilation is the one shown above.