What is the vertical shift for the following transformed tan function? Input the numerical answer.

Answer:

x=13

Step-by-step explanation:

Answer:

x = 13

Step-by-step explanation:

13 - 2  = 11 x 4 = 44

13 + 5 = 18 x 2 = 36

44 - 36 = 8

I hope this helps you! :D

The calculated length of the segment MN in the triangle is 20

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

The triangle

The third angle in the triangle is calculated as

Third angle = 180 - 50 - 50

Evaluate

Third angle = 80

The length of the segment MN is then calculated as

MN/sin(50) = 20/sin(50)

This gives

MN = sin(50) * 20/sin(50)

Evaluate

MN = 20

Hence, the length of the segment MN in the triangle is 20

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Answer:

The percentage of increase in price is 175%. To calculate this, you can subtract the cost price (in this case, $1) from the selling price ($2.75) to find the profit ($1.75). Then divide that profit by the cost price and multiply by 100 to express it as a percentage.

$2.75 - $1 = $1.75

$1.75/$1 * 100 = 175%

If you want to calculate the percentage increase in price, use the formula:

Percentage Increase = (New Price - Original Price) / Original Price x 100

In this case, the original price is $1 (the price of buying the cards) and the new price is $2.75 (the price of selling the cards). So, plugging these values into the formula:

Percentage Increase = (2.75 - 1) / 1 x 100 = 175%

The percentage increase in price is 175%.

x will be equals to 0.18.

Given,

17x = 3

Now to solve for x

x = 3/17

x = 0.176

Approximate the value of x

x = 0.18

Hence option A will be correct.

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Here, we want to get the value of x

We can get this by isolating x

We start by bringing like terms together

CPCTP = Corresponding parts of congruent triangles are congruent:

That means that since both angles are congruent (equal) the sides are also congruent:

8x+6 = 3x+9

Solve for x

8x-3x = 9-6

5x= 3

x= 3/5

The box plots provide visual representations of the distribution of salaries at two companies, Company A and Company B. To compare the ranges and medians of the data sets, we examine the characteristics of each box plot.

The range of a data set represents the difference between the maximum and minimum values. Looking at the box plots, we can determine that the range of Company A's salaries is larger than the range of Company B's salaries.

This can be inferred by observing the lengths of the whiskers, where the whiskers in Company A's box plot extend further in both the upper and lower directions compared to Company B's box plot.

The median of a data set represents the middle value when the data is arranged in ascending or descending order. Comparing the medians of the two box plots, we can determine that the median of Company A's salaries is higher than the median of Company B's salaries.

This is evident by comparing the positions of the medians within the boxes. In Company A's box plot, the median is closer to the upper quartile, indicating a higher median salary, while in Company B's box plot, the median is closer to the lower quartile, suggesting a lower median salary.

In summary, the range of salaries at Company A is larger than that of Company B, indicating a wider spread of salary values. Additionally, the median salary at Company A is higher than the median salary at Company B, suggesting a higher central tendency or midpoint in the distribution of salaries.

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3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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Answer and step-by-step explanation:

We just have to apply one function in the other one. See:

→ f(g(x)):

\(f(x) = \dfrac{2x-3}{x+4}\\\\f(g(x)) = \dfrac{2g(x)-3}{g(x)+4} = \dfrac{2\cdot\dfrac{3+4x}{2-x}-3}{\dfrac{3+4x}{2-x}+4}\\\\f(g(x)) = \dfrac{\dfrac{6+8x}{2-x}-3}{\dfrac{3+4x}{2-x}+4}\\\\f(g(x)) = \dfrac{\dfrac{(6+8x)-3(2-x)}{2-x}}{\,\,\,\dfrac{(3+4x)+4(2-x)}{2-x}\,\,\,}=\dfrac{(6+8x)-3(2-x)}{(3+4x)+4(2-x)}\\\\f(g(x)) =\dfrac{6+8x-6+3x}{3+4x+8-4x}=\dfrac{11x}{11}\\\\\\\boxed{f(g(x)) = x}\)

→ g(f(x)):

\(g(x) = \dfrac{3+4x}{2-x}\\\\g(f(x)) = \dfrac{3+4f(x)}{2-f(x)} = \dfrac{3+4\dfrac{2x-3}{x+4}}{2-\dfrac{2x-3}{x+4}}\\\\g(f(x)) = \dfrac{3+\dfrac{8x-12}{x+4}}{2-\dfrac{2x-3}{x+4}}\\\\g(f(x)) = \dfrac{\dfrac{3(x+4)+(8x-12)}{x+4}}{\,\,\,\dfrac{2(x+4)-(2x-3)}{x+4}\,\,\,}=\dfrac{3(x+4)+(8x-12)}{2(x+4)-(2x-3)}\\\\g(f(x)) =\dfrac{3x+12+8x-12}{2x+8-2x+3}=\dfrac{11x}{11}\\\\\\\boxed{g(f(x)) = x}\)

What verifies that f and g are inverses of each other.

Q.E.D.

The volume of a paraboloid is therefore 1/3 of the volume of a cylinder with the same height and base radius.

The volume of a paraboloid can be expressed as:

The formula for a paraboloid's volume is Vparaboloid = (π/3) x (r²) x h, where r is the base's radius and h is the object's height.

A cylinder's volume can be expressed as follows with the same height and base radius:

Vcylinder = π x (r²) x h.

A paraboloid's volume to a cylinder's volume with the same height and base radius is calculated as follows:

Vparaboloid / Vcylinder = (π/3) x (r²) x h / (π x (r²) x h) = (π/3) / π = 1/3.

The volume of a paraboloid is therefore 1/3 of the volume of a cylinder with the same height and base radius.

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The expression shows how many french fries he had left after giving some to his friends is 68 - 13 × f, so option A is correct.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

Given:

The total no of french fries = 68,

The no of friends = f,

The no of french fries given to each friend = 13

The equation according to the question is given as,

The french fries left = The total no of french fries - The no of french fries given to each friend × The no of friends

Substitute the values,

The french fries left = 68 - 13 × f

Therefore, the expression shows how many french fries he had left after giving some to his friends is 68 - 13 × f.

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You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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1. The difference in the distance of Jupiter from the sun than Mercury will be 4.816.

2. The difference in the distance of Neptune from the sun than Mars will be

3. The greatest distance between Earth and Uranus is Uranus.

4. The greatest distance between Venus and Saturn is Saturn

From the information, the average distance from the sun to each planets have been given. The difference in the distance of Jupiter from the sun than Mercury will be:

= 5.203 - 0.387

= 4.816

The difference in the distance of Jupiter from the sun than Mars will be:

= 30.07 - 1.524

= 28.546

The greatest distance between Earth and Uranus is Uranus and the greatest distance between Venus and Saturn is that of Saturn.

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Answer:

39 3/8 ft ^2

Step-by-step explanation:

To find the area of a rectangle, multiply the length times the width.

A = l*w

  = 7 1/2  * 5 1/4

Change the mixed numbers to improper fractions.

A = 15/2 * 21/4

    =315/8

Change back to a mixed number.

8 goes into 315 39 times with 3 left over.

 = 39 3/8

Answer:

(you can round to 39.4)

Step-by-step explanation:

Find the area of the rectangle shown

7 1/2 ft

5 1/4ft

7 1/2 = 7.5 ft

5 1/4 = 5.25 ft

Area = L x W

Area = 7.5 x 5.25

Area = 39.375

Answer:

We accept H₀  

Step-by-step explanation:

To compare two proportion:

proportion 1. 1998

n₁  =  449

p₁  =  129/449    p₁  =  0,2873

proportion 2. 2008

n₂  =  509

p₂  =  176/509    p₂  = 0,3457

Test hypothesis

Null Hypothesis                             H₀                 p₂  -  p₁  = 0

Alternative Hypothesis                 Hₐ                 p₂  >  p₁

We have a one tail test ( to the right)

As   α = 0,01 we find in z-table the z score   z = 2,29  ( approximation for 0,011)

To calculate z(s),

z(s) =  ( p₂  -  p₁ ) /√ p*q ( 1/n₁ + 1/n₂)

p = ( x₁ + x₂ ) / n₁ + n₂

p = 129 + 176 / 449 +509

p = 0,3184     and    q =  1  - p       q = 0,6816

1/n₁  + 1/n₂  =  1/ 449  +  1 / 509   =  0,00222 + 0,001964

1/n₁  + 1/n₂  = 0,004184

z(s) =  0,0584/ √(0,3184*0,6816)*0,004184

z(s) =  0,0584/ 0,03013

z(s) = 1,938

z(s) < z(c)        1,938  < 2,29

z(s) is in the acceptance region we accept H₀  at  α = 0,01

Answer:

2

Step-by-step explanation:

1+1=2

Latest Win

No Rematches

Stay Mad

Answer:

tHIS IS EASY, JUST LOOK AT THE NUMBER OF TIMES IT HAPPENS, THAT IS UR ANSWER FOR EXPERIMENTAL PROBABILITY

Step-by-step explanation:

Answer:

Line 1: \(\infty\)

Line 2: \(-\frac{4}{3}\)

Line 3: \(\frac{4}{3}\)

Line 4: \(\infty\)

Line 5: \(\frac{7}{4}\)

Line 6 : \(-\frac{7}{3}\)

Line 7: 0

Line 8: 0

Line 9: \(\infty\)

Line 10: \(\infty\)

Line 11: 0

Line 12: \(\infty\)

Step-by-step explanation:

Slope of line is given by the formula:

\(\text{Slope = }\dfrac{\text{Change in } y\text{ coordinate}}{\text{Change in } x\text{ coordinate}}\)

Line 1:

The change in \(x\) coordinate is zero.

Therefore slope of line 1 is \(\infty\).

Line 2:

Change in \(y\) coordinate = -4

Change in \(x\) coordinate = 3

Slope = \(-\frac{4}{3}\)

Line 3:

Change in \(y\) coordinate = 4

Change in \(x\) coordinate = 3

Slope = \(\frac{4}{3}\)

Line 4:

The change in \(x\) coordinate is zero.

Therefore slope of line 4 is \(\infty\).

Line 5:

Change in \(y\) coordinate = 7

Change in \(x\) coordinate = 3

Slope = \(\frac{7}{3}\)

Line 6:

Change in \(y\) coordinate = -7

Change in \(x\) coordinate = 3

Slope = \(-\frac{7}{3}\)

Line 7:

Change in \(y\) coordinate = 0

Slope = 0

Line 8:

Change in \(y\) coordinate = 0

Slope = 0

Line 9:

The change in \(x\) coordinate is zero.

Therefore slope of line 9 is \(\infty\).

Line 10:

The change in \(x\) coordinate is zero.

Therefore slope of line 10 is \(\infty\).

Line 11:

The change in \(y\) coordinate is zero.

Therefore slope of line 11 is 0.

Line 12:

The change in \(x\) coordinate is zero.

Therefore slope of line 12 is \(\infty\).

Answer:

Is answer 22 units sqaure ?

Answer:

Step-by-step explanation:

center=(-1,1)

radius=√16=4

distance between (-1,1) and (3,1)=√[(3+1)²+(1-1)²]=√[16+0]=√16=4=radius

Hence point lies on the circle.

Answer:

y = 7000x - 3000

Explanation:

let the amount of years be x

Let the price of car be y

If the value of a new car decreases $4,000 each year, this means that;

when x = 1, y = 4000.

In coordinate form (1, 4000)

If after 3 years the car is worth $18,000, this means that;

when x = 3, y = 18000

In coordinate form (3, 18000)

The equation in linear form is expressed as y = mx+c

m is the rate of change (slope)

c is the intercept

Get the slope

m = y2-y1/x2-x1

m = 18000-4000/3-1

m = 14000/2

m = 7000

Get the intercept c;

Substitute m = 7000 and any point say (1, 4000) into the formula y = mx+c

4000 = 7000(1) + c

4000 - 7000 = c

c = -3000

Get the linear equation

Recall that y = mx+c

y = 7000x - 3000

Answer:

7c + 4 = 8

7c = 8 -4

7c = 4

c=4/7

Answer:

C) Cube 2.

Step-by-step explanation:

Cubing 2 means to take 3 as an exponent of 2.

Parantheses

Exponents  ==> 2³

Multiplication  ==> 3*2

Division  ==> 2³ ÷ 4

Addition

Subtraction  ==> 2-2³

In PEMDAS, Exponents is the second highest priority in an equation, so it comes first in 3×2-2³ ÷ 4 as there is no parantheses.

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Sets of values that could be the intensities of Amber’s exercise during the fourth, fifth, and sixth visits are -

66%, 69%, 72%

63%, 65%, 67%

What is intensity?

In physics, the power transferred per unit area is known as the intensity or flux of radiant energy, where the area is measured on a plane perpendicular to the direction of the energy's propagation.

The program recommends a pattern of constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern.

Let's call the starting intensity level "x".

Then the intensity levels for the first 3 visits are all equal to x, the intensity levels for the next 3 visits are increasing, and the intensity levels for the following 3 visits are decreasing.

To determine which sets of values could be the intensities of Amber's exercise during the fourth, fifth, and sixth visits, we need to follow the pattern.

If the intensity level for the first 3 visits is x, then the intensity levels for the next 3 visits are x plus some value y, and the intensity levels for the following 3 visits are x plus some value z, where y and z are positive.

If we assume that the initial intensity level x is some value between 60% and 70%, then we can eliminate the last option of 67%, 72%, and 77% because the initial intensity level is too high.

Now let's check the remaining options -

63%, 63%, 63%: This set of values corresponds to a pattern of constant intensity for all 9 visits, which is not consistent with the program's recommendation.

Therefore, this option is not valid.

66%, 69%, 72%: This set of values corresponds to a pattern of increasing intensity over 3 visits, which is consistent with the program's recommendation.

Therefore, this option is valid.

66%, 62%, 58%: This set of values corresponds to a pattern of decreasing intensity over 3 visits, which is not consistent with the program's recommendation.

Therefore, this option is not valid.

63%, 65%, 67%: This set of values corresponds to a pattern of increasing intensity followed by decreasing intensity, which is consistent with the program's recommendation.

Therefore, this option is valid.

Therefore, there are only two valid options -

66%, 69%, 72%

63%, 65%, 67%

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The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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Answer:

a complementary good

Step-by-step explanation:

Howard spends $70,000 per year on 5 suits. When his income reaches $200,000, he purchases 15 suits per year. Suits are classified as a normal good based on this information.

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Answer:

0.4470 = 44.70% probability of a random person on the street having an IQ score of less than 98.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

What is the probability of a random person on the street having an IQ score of less than 98?

This is the pvalue of Z when X = 98. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{98 - 100}{15}\)

\(Z = -0.1333\)

\(Z = -0.1333\) has a pvalue of 0.4470

0.4470 = 44.70% probability of a random person on the street having an IQ score of less than 98.

Answer:

1: $1200

2: Food ($6000)

3: $3000

4: $1800

5: $3000

Step-by-step explanation:

1: 10%*12000 = 1200

2: Food 50%*12000 = 6000

3: 25%*12000 = 3000

4: 15%*12000 = 1800

5: Food - Education = 6000 - 3000 = 3000

Answer:

\(16^{7}\)

Step-by-step explanation:

If the exponent is 7 then you would have to multiply the 16 7 times.

For example: \(50^{8}\) in exponential form would be 50 × 50 × 50 × 50 × 50 × 50 × 50 × 50 because the exponent is 8 so I would have to multiply 50 8 times.

Hope it helps and have a great day! =D

~sunshine~