Evan ran for 28 minutes. Seth ran for 'y' minutes. Evan ran twice as long as Seth. How long did Seth run?

A 28 minutes
B 56 minutes
C 14 minutes
D 30 minutes​

Answer:

Step-by-step explanation:

To find 5e. El change, find the difference between week 1 and 1.

56.92-(-16.54) = 56.92+16.54 = -73.46.

Note: this is negative, because we are calculating the difference.

Hope this helps

Answer:

THE ANSWER IS 35

Step-by-step explanation:

X=35

X=35

X=35

X=35

X=35

Answer:

$566,700 to the nearest dollar.

Step-by-step explanation:

This is a geometric series with nth term = a1r^(n-1) where common ratio r

= 1.15 and first term a1 = 245000

So in its 7th year the profit will be 245000^ 1.15^(7-1)

= 566699.8876.

The five-number summary can provide useful information for understanding the Distribution and variation of a given data set. It can help to identify any outliers, skewness, or gaps in the data that may require further investigation.

The five-number summary is a summary of the central tendency measures for a given sample or population data set. The five-number summary includes the minimum, maximum, first quartile, median, and third quartile values of the data set.

The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines. The five-number summary for prices based on a sample of major U.S. airlines was:

Minimum: $75First quartile (Q1): $100Median: $125Third quartile (Q3): $175Maximum: $225The minimum and maximum values are the lowest and highest pet transport costs for major airlines in the United States.

The first quartile (Q1) represents the lowest 25% of costs, while the third quartile (Q3) represents the upper 25% of costs. The median value is the midpoint of the data set, separating it into two halves with equal numbers of observations.

The range of costs, which is the difference between the maximum and minimum values, is $150. The interquartile range (IQR), which is the difference between the third and first quartile values, is $75.

The IQR represents the central 50% of the data set, which is where the majority of the data points lie in a box plot.

The five-number summary can provide useful information for understanding the distribution and variation of a given data set. It can help to identify any outliers, skewness, or gaps in the data that may require further investigation.

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So, yes, the triangle is a right angled triangle.

A triangle is a right angled triangle if and only if the length of one side (the hypotenuse) is equal to the square root of the sum of the squares of the other two sides (the legs). This relationship is known as the Pythagorean theorem. The theorem states that in a right angled triangle, the hypotenuse (c) is equal to the square root of the sum of the squares of the legs (a and b).

In this case, the sides of the triangle are 15 cm, 36 cm and 39 cm. To determine if this is a right angled triangle, we must check if the length of the hypotenuse (39 cm) is equal to the square root of the sum of the squares of the other two sides (15 cm and 36 cm).

To check this we use the Pythagorean theorem:

c^2 = a^2 + b^2

so in this case:

39^2 = 15^2 + 36^2

This simplifies to:

1521 = 225 + 1296

Which is true, so the triangle is a right angled triangle

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Answer:

  about 3.08 L

Step-by-step explanation:

You want the number of litres in the volume of a cylindrical can 14 cm in diameter and 20 cm high.

A litre is a cubic decimeter, 1000 cubic centimeters. As such, it is convenient to perform the volume calculation using the dimensions in decimeters:

The volume of the cylinder is given by the formula ...

  V = (π/4)d²h . . . . . . . where d is the diameter and h is the height

  V = (π/4)(1.4 dm)²(2.0 dm) ≈ 3.079 dm³ ≈ 3.08 L

The cylindrical can will hold about 3.08 litres.

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11. The area difference between them is 96 square units (192 - 96).

12. The trough stands 4 feet tall.

11. The area of Figure A is 96 square units (12 x 8) and the area of Figure B is 192 square units (16 x 12). The difference in their areas is 96 square units (192 - 96).

12. Let the height of the trough be h. The volume of the trough is given by the formula:

Volume = base area x height

Substituting the given values:

96 = 24h

Dividing both sides by 24:

h = 4

Therefore, the trough is 4 feet tall.

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Answer:

x = 4

Step-by-step explanation:

\(5^{9x} =25^{4x+2}\)

First you need to get a common base as your number.

\(5^{9x} =5^{2(4x+2)}\)

The second number changed because 5 squared is 25. Changing it to this form gives us the same base number of 5. Now we use the distributive property in the exponent.

\(5^{9x} =5^{8x+4}\)

Now we can use this statement:

\(A^{m} =A^{n}\) if \(m=n\)

Using this we solve:

9x = 8x+4

-8x  -8x

x = 4

Hope it helps!

A line spectrum refers to a type of spectrum where light is emitted at specific, discrete frequencies. A continuous spectrum, on the other hand, refers to a type of spectrum where light is emitted at all frequencies within a given range.

A line spectrum refers to a type of spectrum where light is emitted at specific, discrete frequencies. The light is emitted in a pattern of individual lines, hence the name "line spectrum." Hot gases or plasmas often produce this type of spectrum, and the lines represent specific energies of electrons in the gas.

An example of a line spectrum is the Hydrogen spectrum, which consists of a series of distinct lines of different colours that correspond to different energies of the electrons in a hydrogen atom.

A continuous spectrum, on the other hand, refers to a type of spectrum where light is emitted at all frequencies within a given range. The light is emitted in a smooth, continuous manner, hence the name "continuous spectrum." This type of spectrum is often produced by hot solid objects, such as the sun, and it represents a continuous range of energies.

An example of a continuous spectrum is the spectrum of light emitted by the sun, which spans a wide range of frequencies and has a smooth, continuous appearance.

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Answer: The input is the x variable and the output is the y variable, so the equation is y=0 which is just a line on the x axis

**the thicker line in the picture is what the line should look like.

Answer:

Sometimes, Never, and Always.

(Sounds like a good movie title).

Step-by-step explanation:

See attached image.

We need to know about inequality to solve the given problem. The double inequality to represent the possible length of a gymnastics routine is given by 3≤b≤7.

Inequality is a realtion which makes comparison between numbers or other expressions. Double inequality means when two or more inequalities are joined together. Here in this question we know that each gymnastic routine is at least 3 minutes long. We assume that the length of a gymnastic routine is b, then we can say from the given information 3≤b. It is also said that no gymnastic routine is longer than 7 minutes, so maximum length of any gymnastic routine is 7 minutes, we can write it as, b≤7. Joining these two inequalities we get the double inequality which describes the possible length of a gymnastic routine.

3≤b≤7

Therefore using the concept of inequality we found the double inequality for possible length of gymnastic routine which is 3≤b≤7.

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The image of the coordinates after a dilation of (9, −7) by a scale factor of 4 centered at the origin include the following: (36, -28).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage (9, -7) by using a scale factor of 4 centered at the origin as follows:

Coordinate A (9, -7) → Coordinate A' (9 × 4, -7 × 4) = Coordinate A' (36, -28).

In conclusion, the coordinates of the image after a dilation are  (36, -28).

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For the thread 1/4 - 20 UNC - 3B - LH x 1, the major diameter is 0.250 inches.

To determine the major diameter for a thread, you need to know the thread size, thread pitch, thread class, and thread direction. For the thread 1/4 - 20 UNC - 3B - LH x 1, the thread size is 1/4 inch and the thread pitch is 20 threads per inch.

UNC stands for the Unified National Coarse Thread, which is a type of thread used in the United States. 3B refers to the thread class or tolerance level. LH indicates that the thread is left-handed or clockwise. Finally, x 1 indicates the length of the thread in inches, which is equal to 1 inch. The major diameter of a thread is the largest diameter of the thread.

1/4 - 20 UNC - 3B - LH x 1 = 0.25 inches

1/4 x 1 = 0.25 inches

UNC, 3B, and LH just stand for the quality of thread, not for the quantity.

So, In this case, the major diameter is 0.25 inches or 6.35 mm, which is the size of the thread.

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The parametric equations for the line of intersection of the planes 4x - 3y + z = 1 and 3x + y - 4z = 4 are:

x = (208 + 70t) / 52

y = (13 + 19t) / 13

z = t

To find the parametric equations for the line of intersection of the planes 4x - 3y + z = 1 and 3x + y - 4z = 4, we can solve these two equations simultaneously.

Step 1: Set up a system of equations:

4x - 3y + z = 1

3x + y - 4z = 4

Step 2: Solve the system of equations to find the values of x, y, and z. One way to solve the system is by using the method of elimination:

Multiply the first equation by 3 and the second equation by 4 to eliminate the y term:

12x - 9y + 3z = 3

12x + 4y - 16z = 16

Subtract the first equation from the second equation:

12x + 4y - 16z - (12x - 9y + 3z) = 16 - 3

12x + 4y - 16z - 12x + 9y - 3z = 13y - 19z = 13

Step 3: Express y and z in terms of a parameter, let's call it t:

13y - 19z = 13

y = (13 + 19z) / 13

We can take z as the parameter t:

z = t

Substituting the value of z in terms of t into the equation for y:

y = (13 + 19t) / 13

Step 4: Express x in terms of t:

From the first equation of the original system:

4x - 3y + z = 1

4x - 3((13 + 19t) / 13) + t = 1

4x - (39 + 57t) / 13 + t = 1

4x - (39 + 57t + 13t) / 13 = 1

4x - (39 + 70t) / 13 = 1

4x = (39 + 70t) / 13 + 1

x = ((39 + 70t) / 13 + 13) / 4

x = (39 + 70t + 169) / 52

x = (208 + 70t) / 52

Therefore, the parametric equations for the line of intersection of the planes 4x - 3y + z = 1 and 3x + y - 4z = 4 are:

x = (208 + 70t) / 52

y = (13 + 19t) / 13

z = t

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Answer:

8 years

Step-by-step explanation:

Currently

Abebe → 12 years old

Aster → 2 years

With every passing year, each of them will be 1 year older hence the difference between their ages will remain constant.

Difference in ages

= 12 -2

= 10

Let the age of Aster be x years old when Abebe is twice her age.

Abebe → 2x years old

Aster → x years old

Difference in age

= 2x -x

= x

x= 10

Aster is 10 years old when Abebe is twice her age.

Number of years passed

= 10 -2

= 8

Thus, Abebe will be twice as old as her sister in 8 years.

Answer:

B)

Step-by-step explanation:

The y axis is distance from home, so she can't start at (0,0), because that would imply that Jamie started at home. Thus, it has to be B or C. However, C never includes a section of the graph increasing, which is necessary to represent Jamie going further from home (back to school to get her book) before returning home, at y=0. Therefore, the answer has to be B)

Answer:

42

Step-by-step explanation:

First, you do the stuff in parentheses. 2+3/6 = 2.5

Then, exponent, 3 x 3 x 3 = 27

Then, do 6 x 2.5 = 15

15+27 = 42

Using long division:

As you can see, the quotient is 2.8, therefore:

Answer:

-------------------------

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

The location of C' after the dilation is given as follows:

C. C'(4, -6).

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

The location of C is given as follows:

C(2,-3).

The scale factor is given as follows:

k = 2.

Hence the location of C' after the dilation is given as follows:

C'(4, -6).

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Answer:

Therefore, there are approximately 102 kilocalories in the snack bar.

Step-by-step explanation:

One gram of fat provides 9 kilocalories (kcal), while one gram of carbohydrate and protein provide 4 kcal each. So, to find the total number of kilocalories in the snack bar, we can use the following formula:

Total kcal = (grams of fat * 9) + (grams of carbohydrate * 4) + (grams of protein * 4)

Plugging in the values, we get:

Total kcal = (6 * 9) + (10 * 4) + (2 * 4)

Total kcal = 54 + 40 + 8

Total kcal = 102

Therefore, there are approximately 102 kilocalories in the snack bar.

The answer is  approximately 120 kilocalories in a snack bar that contains 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein.

What are kilocalories? Kilocalories, also known as calories, are a unit of energy used to calculate the amount of energy in food. The number of kilocalories in food is calculated based on the number of grams of protein, carbohydrate, and fat it contains. Kilocalories are used by the body to fuel its processes and maintain its vital functions. The energy in food is released when it is digested, absorbed, and transported to the cells where it is used to produce ATP, the body's primary source of energy. ATP is used to power cellular processes such as metabolism, respiration, and movement. How many kilocalories are in a snack bar that contains 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein? To calculate the number of kilocalories in a snack bar that contains 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein, we need to know the number of kilocalories per gram of each macronutrient. Protein and carbohydrates each contain 4 kilocalories per gram, while fat contains 9 kilocalories per gram. To calculate the number of kilocalories in the snack bar, we multiply the number of grams of each macronutrient by the number of kilocalories per gram and then add them together. Here is the calculation:6 grams of fat x 9 kilocalories per gram of fat = 54 kilocalories10 grams of carbohydrate x 4 kilocalories per gram of carbohydrate = 40 kilocalories2 grams of protein x 4 kilocalories per gram of protein = 8 kilocalories. Total kilocalories = 54 + 40 + 8 = 102Therefore, a snack bar that contains 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein has approximately 102 kilocalories.
A snack bar with 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein has approximately 102 kilocalories. This is calculated as follows: (6 grams fat x 9 kcal/g) + (10 grams carbohydrate x 4 kcal/g) + (2 grams protein x 4 kcal/g).

Therefore, answer is 120 kilocalories.

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Answer:

368/527

Step-by-step explanation:

A metric can be used to help us determine the extent of how much an outcome is achieved.

A metric is a quantifiable gauge that is employed to assess, scrutinize, and appraise diverse facets of a system, procedure, or outcome. It furnishes a standardized and unbiased approach to gauge and monitor performance or advancement towards particular objectives or goals. Metrics are commonly formulated based on precise criteria or prerequisites and can manifest as numerical or qualitative in essence.

They find application in various domains such as commerce, finance, science, engineering, and myriad others to evaluate performance, facilitate well-informed decisions, and oversee progress over time.

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The original weight of the sample is determined as 3.24×10⁻⁶ grams.

If each batch weighs 3.6×10⁻⁷ grams, then the total weight of all 9 batches can be found by multiplying the weight of one batch by the number of batches.

Total weight = 9 × 3.6×10⁻⁷ grams

= 32.4×10⁻⁷ grams

To express this number in scientific notation, we can move the decimal point one place to the left and adjust the exponent accordingly:

Total weight = 3.24×10⁻⁶ grams

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Answer: 1/6.

Step-by-step explanation:

3/18 is just 1/6 because you have to divide the numerator and denominator by 3.

In 2.22 years, there will only be 50,000 African penguins left.

Since the population of African penguins is cut in thirds every year, we can use the exponential decay model to describe its population as follows:

P(t) = P₀(1/3)^t

where P(t) represents the population after t years, and P₀ represents the initial population in 2000, which is 200,000.

So, the formula for the population of African penguins after t years is:

P(t) = 200,000(1/3)^t

To find how many years it will take for the population to be reduced to a certain number, we can plug in that number for P(t) and solve for t.

For example, if we want to find out how many years it will take for the population to be reduced to 50,000, we can write:

50,000 = 200,000(1/3)^t

Divide both sides by 200,000:

1/4 = (1/3)^t

Take the natural logarithm of both sides:

ln(1/4) = ln[(1/3)^t]

ln(1/4) = t ln(1/3)

Solve for t:

t = ln(1/4) / ln(1/3)

Using a calculator, we get t ≈ 2.22 years.

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Answer:

0.12

because 3/5 of 0.2 is 0.12

u probably shouldn’t trust me im dum

Step-by-step explanation:

In order to find the missing side we will use a trigonometric function in this case we will use the tangent

where

theta=41 °

OS=x

AS=16

we isolate the x

x=13.9