Solve the proportion. 2x/5 = 9/15

Answer:

im pretty sure its 1.63

Step-by-step explanation:

lmk if im wrong

We want to know the height of a candle after 16 hours.

We know that the height is a linear function of the amount of time (in hours) it has been burning. This means that we can write it as:

where x represents the number of hours burning.

Also, we have that after 10 hours of burning, the candle has a height of 17 centimeters, which means that we can write it as a point of the function:

And after 23 hours of burning its height is 11.8 centimeters, so we can write the second point of the function will be:

We will find the linear function that describes the height. Using the two points, we will find the slope and the y-intercept.

The slope is given by:

And for the y-intercept, we replace a point on the slope-intercept form, and we clear out the y-intercept.

This means that the y-intercept is 21, and the linear function that describes the height is given by:

For finding the height of the candle after 16 hours, we replace x by 16, and we obtain:

This means that the height of the candle after 16 hours is 14.6 centimeters.

Answer:

This is so simple omg

Expand ”4x+5” out so...

12x + 15 = 33

12x = 33 - 15 = 18

12x = 18

x = 1.5

Answer:

Step-by-step explanation:

Answer:

Two lines are parallel lines if they do not intersect. The slopes of the lines are the same. ... Coincident lines are the same line. Two lines are perpendicular lines if they intersect at right angles.

Answer:

Point A: (4, -3)

Point B: (3, -12)

Point C: (-1, -5)

Step-by-step explanation:

Reflection of point A:

The x will stay the same and only the y will change.

Take the y-coordinate and subtract it from the reflection line while getting the absolute value..

|(-1) - (-2)| = |1| = 1

This means, point A is one unit down the line y = -2

(-2) - 1 = -3

The coordinate for A will now be (4, -3).

Reflection of point B:

Again, the x will stay the same and only the y will change.

Using the absolute value, get the y-coordinate and subtract it from the reflection line again..

|(8) - (-2)| = |10| = 10

This means, point A is five unit down the line y = -2

(-2) - 10 = -17

The coordinate for B will now be (3, -12).

Reflection of point C:

I think you get the gist of it.

|(1) - (-2)| = |3| = 3

(-2) - 3 = -5

The coordinate for C will now be (-1, -5).

I added an image down below of what the reflection looks like. Sometimes it helps to see things visually.

The red triangle is the original image and the blue triangle is the image after the reflection. The purple line is the reflection line y = -2

Hope this helped!

Answer:

bq XK

Step-by-step explanation:

                             nnnnnnnnnnn

Answer:

the correct answer is B

Step-by-step explanation:

got it right!!!!

Answer:

4s/2

Step-by-step explanation:

Since it's a square, all sides are s.

Multiply s by 4, to get 4s.

Now you do 4s/2

I'm not 100% sure but I tried :)

Answer:

hey bella jordan is searching you like a mad plzz reponse him

It is recommended that you visit your courses on D2L frequently, ideally at least once a day, to stay up-to-date with any new announcements or assignments posted by your instructor. This will help you stay on track with your coursework and prevent you from falling behind. Additionally, regular visits to your courses can help you participate in discussions with your peers and ask questions if you are unsure about any of the material. It's important to remember that online learning requires a high level of self-discipline and responsibility, so making a habit of checking in on your courses regularly can contribute to your overall success in the class.

Brand B contains 3% saline solution by volume. Then, C is the right answer.

Percentage of saline solution in brand B, let x be.

We know that the overall volume of saline solution in the combination is 18% of 6 gallons plus x% of (18 - 6) gallons since Danielle blended brands A and B to make a total of 18 gallons of 8% saline solution.

Then the equation is given as,

0.18(6) + 0.01x(18 - 6) = 0.08(18)

Simplifying and solving for x, we get:

1.08 + 0.12x = 1.44

0.12x = 0.36

x = 3

Therefore, the percentage of saline solution in brand B is 3%.

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Answer:

a. The real GDP increases by $200,000.

a. The real GDP increases by $150,000.

Step-by-step explanation:

a. What is the eventual effect on real GDP if the government increases its purchases of goods and services by $50,000?

Eventual effect on real GDP = Amount of increase in government spending * (1 /(1 - MPC)) = $50,000 * (1 / (1 – 0.75)) = $200,000

Therefore, the real GDP increases by $200,000.

a. What is the eventual effect on real GDP if the government, instead of changing its spending, increases transfers by $50,000?

Eventual effect on real GDP = (Amount of increase in government transfers * (1 /(1 - MPC))) - Amount of increase in government transfers = ($50,000 * (1 / (1 – 0.75))) - $50,000 = $150,000

Therefore, the real GDP increases by $150,000.

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

P(0) = 4C0 * 0.75⁰ * 0.25⁴ = 0.00390625 . = 0.004

P(1) = 4C1 * 0.75¹ * 0.25³ = 0.046875 . . . = 0.047

P(2) = 4C2 * 0.75² * 0.25² = 0.2109375 . . = 0.211

P(3) = 4C3 * 0.75³ * 0.25¹ = 0.421875 . . . = 0.422

P(4) = 4C4 * 0.75⁴ * 0.25⁰ = 0.31640625 . = 0.316

Check:

P(0) + P(1) + P(2) + P(3) + P(4) = 1 . . . ok

Step-by-step explanation:

Answer:

1350 in. cubed

Step-by-step explanation:

to find the volume you multiply length, width and height

Answer:

1350cm^p3

Step-by-step explanation:

Answer:

1/729

Step-by-step explanation:

a negative exponent is fractioned like 1/9^3. Which can be simplified as 1/729 ans 9^3 = 729

The amount of the investment after 8 years will be, $4,357.64

Given, $500 is invested in an account earning 7% interest compounded quarterly.

We have to find the value of the invested amount after 8 years,

as, Amount = P(1 + r/100)^t

where, P is the amount of money invested, r is the rate of interest and t is the amount of time

Amount = 500(1 + 7/100)^(8×4)

Amount = 500(1.07)^32

Amount = 500×8.715

Amount = 4,357.635

So, the amount of the investment after 8 years will be, $4,357.64

Hence, the amount of the investment after 8 years will be, $4,357.64

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Step-by-step explanation:

Given

f(x) = 5 / 2x - 1

f^-1( x) = ?

Let

y = f(x)

y = 5/2x - 1

Interchanging the roles of x and y we get

x = 5/2y - 1

2y - 1 = 5/x

2y = 5/x - 1

y = (5/x - 1)/ 2

f^-1(x) = ( 5/x - 1) / 2

Hope it will help :)

Domain and range of function is (D)=D={x|x≥2}, R={y|y≥0}.

In mathematics, the domain of a function is the set of all possible input values for which the function is defined. The range of a function is the set of all possible output values that the function can produce, based on its input values. In other words, the domain is the set of all x-values that the function can take, while the range is the set of all corresponding y-values that the function can take.

The given graph is oriented toward x direction

Domain of function =x≥2

For every value of x the y is always positive

So, range =y≥0

Hence, domain and range of function is (D)=D={x|x≥2}, R={y|y≥0}

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Answer:Godo luck!

Step-by-step explanation:

To earn an average score of 90, the score on the fourth test needs to be 98.

The core value of a set of data is expressed mathematically as the average of a list of data. It is defined mathematically as the ratio between the total number of units in the list and the sum of all the data. The term "mean" in statistics also refers to the average of a particular set of numerical data.

Given the score of the first three tests as:

91, 84, 87.

The average is given by the following formula:

Average = Sum of scores ÷ total number of tests

Let us suppose the score of fourth test as x.

Given that A = 90:

90 = (91 + 84 + 87 + x) ÷ 4

x = 98

Hence, the score on the fourth test must be equal to 98, to get an average score of 90.

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Answer:

8

Step-by-step explanation:

1 : 2

= 1 +2

= 3

action movie

1 ÷ 3 × 24 = 8

other movie

2 ÷ 3 × 24 = 16

If 1 action movie is to 2 other films it means on the 24 screens will be 8 action movies to 16 other films.

Answer:

2.221992

Step-by-step explanation:

can i have the crown pls ૮ ♡ﻌ♡ა

Answer:

2.221

Step-by-step explanation:

However, I can still give you some general steps to solve a math problem in 200 words.

Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.

Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.

Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.

Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.

Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.

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Answer:

\(2) \: \: \frac{11}{2} \)

Step-by-step explanation:

\( \frac{4}{5} + \frac{18}{20} \\ \\ \frac{4}{5 \times 4} + \frac{18}{20} \\ \\ \frac{4}{20} + \frac{18}{20} \\ \\ \frac{4 + 18}{20} \\ \\ \frac{22}{20} \\ \\ \frac{11}{2} \)

Answer:

It must gather every 12 hours or 12*60=720 minutes. 3 minutes are gained every hour, so it needs exactly 10 days(240 hours) ... correct time will show Tuesday, at 6 PM, to be exact.

Answer:

tan teeta = opposite

adjacent

45°= 7

x

multiply both sides by x

which will now give us

45°x=7

45°. 45°

x= 0.16

hope it helps

The height of cylinder when volume of 480 cubic meters is  480/r^2.

Volume serves as a measure for an object's storage capacity. For instance, a cup's volume is said to be 100 ml if it can hold 100 ml of water when filled to the brim. The amount of space a three-dimensional object occupies is another way to define volume.

A solid's volume can be calculated by counting how many unit cubes it contains, such as in the case of a cube or cuboid. The best way to understand volume is to think of it as the area surrounded or occupied by any solid object or object with three dimensions. This can be seen by performing the following easy exercise at home:

volume of cylinder V is = πr²h

where, r  = radius of cylinder

h = height of cylinder

V = 480π cubic meters

Now, calculate its height in terms of cylinder radius using the volume of cylinder formula:

V = πr²h

480π =  πr²h

h = 480π/ πr²2

h = 480/r²

Therefore, The height of cylinder when volume of 480π is  480/r².

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a) The displacement from your apartment to the restaurant is \($\vec{d} = (200 m) \hat{i} + (-15 m - 100 m) \hat{j} - (30 m) \hat{k}$\)

b) The magnitude of the displacement is 185.7 m.

A vector is a quantity that has both magnitude and direction. In physics and mathematics, vectors are used to describe the motion of objects and their displacement.

(a) First, you went down 10 flights of stairs, which is a displacement of -30 m in the z-direction. Next, you walked 15 m south, which is a displacement of -15 m in the y-direction.

After that, you walked 0.200 km east, which is a displacement of 0.200 km or 200 m in the x-direction.

Finally, you turned north and walked 0.100 km, which is a displacement of 0.100 km or 100 m in the y-direction.

Putting all these together, the vector representing the displacement from your apartment to the restaurant is given by:

\($\vec{d} = (200 m) \hat{i} + (-15 m - 100 m) \hat{j} - (30 m) \hat{k}$\)

(b) The total distance you traveled is the sum of the lengths of all the segments of your path. You went down 10 flights of stairs, which is a distance of

=> 10 x 3.0 m = 30 m.

The total distance traveled is

=> 201.2 m + 30 m + 100 m = 331.2 m.

The magnitude of the displacement is given by the magnitude of the vector:

\(|\vec{d}| = \sqrt{(200 m)^2 + (15 m + 100 m)^2 + (30 m)^2}\)

\(\vec{d} = \sqrt{200^2 + 115^2 + 30^2} \\\vec{d} = \sqrt{20 900 + 13 225 + 900} \\\vec{d} = \sqrt{34525} = 185.7 m$\)

So, you traveled 331.2 m along the path you took, but the magnitude of the displacement you calculated in part (a) is 185.7 m.

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An order-preserving function is a function that preserves the order of its inputs. In other words, if x is less than y, then f(x) will be less than f(y).

The statement "f is order-preserving if x < y implies f(x) < f(y)" means that if x is less than y, then f(x) must be less than f(y). This is a necessary condition for a function to be order-preserving. However, it is not a sufficient condition. For example, the function f(x) = x^2 is not order-preserving, because 2 < 3, but f(2) = 4 > f(3) = 9.

In summary, order-preserving functions are useful in situations where we need to preserve the order of a set of data.

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The ratio of the sides of the small box and the medium box is 1:3

The ratio of the area of the bases of the small box and the medium box is 1:9.

The ratio of the volumes of the small box and the medium box is 1:27.

The volume of a medium box is 5832 cubic inches.

What is a cube?

The solid shape of a cube has six square faces. Because every square face has the same side length, each face is the same size. A cube has 8 vertices and 12 edges. Each vertex is the intersection of three cube edges.

Given that a cube-shaped small packaging box has a volume of 216 cubic inches.

Assume the length of sides is a.

The volume of a cube is side³.

The volume of the small box is a³.

Thus,

a³ = 216

a³ = 6³

a = 6

The length of the small box is 6.

The area of the base of small box is 6×6  = 36 square inches.

The dimensions of a medium box are tripled in length, width, and height.

Thus the length of the medium box is 3×6 = 18 inches.

The area of the base of the medium box is 18×18 = 324 square inches.

The volume of cube medium box is 18×18×18 = 5832 cubic inches.

The ratio of the sides of small box and medium box is

6:18 = 1:3

The ratio of the area of bases of small box and the medium box is

36:324 = 1:9

The ratio of the volumes of small box and the medium box is

216:5834 = 1:27

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