Keith buys 45 tickets for rides at the amusement park. Each ride requires 6 tickets to ride. If Keith already has gone on x rides, which expression is equivalent to the number of tickets Keith has left? Pls Answer ASAP

Average rate of return for 3D Printer is 4% and for Truck is 9%.

Average income = Estimated total income/ useful life.

For 3D Printer,

Average Income = 4160/ 4

Average Income = $1040

For Truck,

Average Income = 15120/ 7

Average Income = $2160

Average Investment = (Investment + residual value)/ 2

For 3D Printer,

Average Investment = (52000 + 0)/ 2

Average Investment = $26000

For Truck,

Average Investment = (48000 + 0)/ 2

Average Investment = $24000

Average rate of return = Average Income/ Average Investment

For 3D Printer,

Average rate of return = 1040/26000

Average rate of return = 4%

For Truck,

Average rate of return = 2160/24000

Average rate of return = 9%

Hence, average rate of return for 3D Printer is 4% and for Truck is 9%.

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Derrick and Janis together plant a total of 30 + 90 = 120 strawberry plants on the first day.

To find out how many strawberry plants Derrick and Janis planted on the first day, we need to calculate the sum of the plants they individually planted.

Derrick planted 20% of the 150 strawberry plants:

20% of 150 = (20/100) * 150 = 30 strawberry plants.

Janis planted 60% of the 150 strawberry plants:

60% of 150 = (60/100) * 150 = 90 strawberry plants.

Therefore, on the first day, Derrick and Janis planted a total of 30 + 90 = 120 strawberry plants.

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Answer: 180,842,239

Step-by-step explanation:

Answer:

55

1.8

Step-by-step explanation:

Khanacademy

Answer:

-22

Step-by-step explanation:

Hello!

We can convert it into Slope-Intercept form: \(y = mx + b\)

The y-intercept is -22.

The statement that is true about the function is:

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

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Answer:

all real values of x where x < -1

The correct statement is all real values of x where x < -1.

Option A is the correct answer.

We have,

To determine the values for which the graph of the function

f(x) = (x - 3)(x + 1) is positive and decreasing, we need to analyze the behavior of the function.

Let's consider the factors individually:

(x - 3): This factor is positive for x > 3 and negative for x < 3.

(x + 1): This factor is positive for x > -1 and negative for x < -1.

To determine the overall sign of the function, we need to consider the signs of both factors together.

When both factors are positive or both factors are negative, the function is positive.

When the factors have opposite signs, the function is negative.

From the above analysis, we can conclude the following:

When x > 3, both factors are positive, so the function is positive.

When -1 < x < 3, the factor (x - 3) is negative, while the factor (x + 1) is positive. Therefore, the function is negative.

When x < -1, both factors are negative, so the function is positive again.

Since we are looking for values where the function is positive and decreasing, we can eliminate the options that include positive and increasing regions (such as x > 3).

Thus,

The correct statement is all real values of x where x < -1.

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Answer:

X/(7+-2)=-10

Step-by-step explanation:

The median will be greater than the mean in a left-skewed distribution

We have,

In statistics, skewness is a measure of the asymmetry of a probability distribution around its mean.

A distribution is said to be skewed left if it has a long tail on the left side and the bulk of the data is on the right side.

When the data is skewed left, it means that the distribution is being pulled towards the left side.

This is because there are a few extreme values on the left side that are pulling the mean in that direction.

In contrast, the median is the middle value of the dataset, and it is not influenced by outliers.

For a left-skewed distribution,

The median will be greater than the mean because the mean is being pulled towards the left by the few extreme values.

In a data distribution that is skewed left, the mean will be less than the median.

This is because the mean is sensitive to outliers and is pulled towards the direction of the skewness, while the median is not affected by extreme values and is a more robust measure of central tendency.

Therefore,

The median will be greater than the mean in a left-skewed distribution

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a. The six trigonometric functions of the angle β are:

sin β = 7/25

cos β = 24/25

tan β = 7/24

csc β = 25/7

sec β = 25/24

cot β = 24/7

b. Using trigonometric identity, cos X + (sin X)(tan X) = 1

We can use the given value of cos β = 24/25 to find the other trigonometric functions of the angle β.

Let's draw a right triangle with angle β, adjacent side of length 24, and hypotenuse of length 25 (since cos β = adjacent/hypotenuse):

Using the Pythagorean theorem, we can find the opposite side:

Opposite side = sqrt(hypotenuse^2 - adjacent^2) = sqrt(25^2 - 24^2) = sqrt(49) = 7

So the triangle is:

Now we can find the other trigonometric functions:

sin β = opposite/hypotenuse = 7/25

cos β = adjacent/hypotenuse = 24/25

tan β = opposite/adjacent = 7/24

csc β = hypotenuse/opposite = 25/7

sec β = hypotenuse/adjacent = 25/24

cot β = adjacent/opposite = 24/7

2. We can use the trigonometric identity for tangent:

tan X = sin X / cos X

to rewrite the expression as:

cos X + (sin X)(sin X / cos X)

Multiplying through by cos X, we get:

(cos X)(cos X) + (sin X)(sin X)

Using the Pythagorean identity:

(sin X)^2 + (cos X)^2 = 1

we can simplify further:

1 - (cos X)^2 + (cos X)^2 = 1

So the final simplified expression is equal to 1

3. We can start with the left-hand side of the equation and manipulate it using the definitions of the trigonometric functions and the Pythagorean identity until we arrive at the right-hand side:

tan²α(csc²α - 1)

= (sin²α/cos²α)((1/sin²α) - 1)

= (sin²α/cos²α - sin²α/cos²α)

= 0

Now, let's look at the right-hand side:

1

We see that the left-hand side simplifies to 0, while the right-hand side is 1. Therefore, the identity is not true for all values of α.

We can see this more clearly by picking a specific value of α and evaluating both sides of the equation. For example, let's take α = 45°:

tan²45°(csc²45° - 1) = (1/1)((2/1) - 1) = 1

1 = 1

So the identity holds for α = 45°, but we have already shown that it does not hold for all values of α. Therefore, the identity is not true for all values of α.

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Answer:

35

Step-by-step explanation:

You can easily graph this in desmos for a visual understanding.

The slope of a line is received by (y2-y1)/(x2-x1). Assuming that Days is X and the cost is Y, we get (160-90)/(4-2), and it makes 70/2, which equates out to 35. Because the prices become more and more expensive, the slope is positive 35.

Answer:

Step-by-step explanation:

If within the year 2014, the population p of the rabbits m months after January 2014 is modeled by the equation p = 0.05(m-1.5)(m-8.5) and the population reach 10,000 some time in February, to determine the time, given as months after January 1 2014, that the rabbit population reach ten thousand, we will substitute p = 10 into the modeled equation and get the value of m as shown;

\(p = 0.05(m-1.5)(m-8.5)+10 \\substitute \ p = 10\\\\ 10 = 0.05(m-1.5)(m-8.5)+10\\\\10-10 = 0.05(m-1.5)(m-8.5)\\\\0 = 0.05(m-1.5)(m-8.5)\\\\0/0.05 = (m-1.5)(m-8.5)\\\\0 = (m-1.5)(m-8.5)\\ (m-1.5)(m-8.5) = 0\\ m-1.5 = 0 \ and \ m-8.5 = 0\\m = 1.5 \ and \ 8.5\\\)

Hence the population of the rabbit reach 10,000 after 1.5 months and 8.5 months

Step-by-step explanation:

4k - 6 < 3k + (k - 1)

4k < 3k + 6(k - 1)

4k < 3k + 6k - 6

4k < 9k - 6

4k - 9k < -6

-5k < -6

k < -6

-5

k < 6

5

The height of the hexagonal-based pyramid is approximately 101.61 inches.

To find the height of the hexagonal-based pyramid, we can use the formula for the volume of a pyramid:

Volume = (1/3) × Base Area × Height

In this case, the base of the pyramid is a regular hexagon, and we have the side length (s) and apothem (a) given.

The base area of a regular hexagon can be calculated using the formula:

Base Area = (3√3/2) × s²

Let's calculate the base area first:

Base Area = (3√3/2) × (6 in)²

Base Area = (3√3/2) × 36 in²

Base Area ≈ 93.53 in²

Now, we can rearrange the volume formula to solve for the height:

Height = Volume / ((1/3) × Base Area)

Height = 3168 in³ / ((1/3) × 93.53 in²)

Height = 3168 in³ / (31.177 in²)

Height ≈ 101.61 in

Therefore, the height of the hexagonal-based pyramid is approximately 101.61 inches.

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Answer:

126 lineups

Step-by-step explanation:

This is a problem in combinatorics which asks in how many ways can a subset of 5 be formed from a larger set of 9

In general, if you were to see how many ways a subset of \(r\) can be formed from a larger subset \(n\) denoted by \(nC_r\) we use the formula

\(nC_r = \dfrac{n!}{ r! (n - r)! }\)

There are calculators that can compute this and I used a scientific calculator to do so.

\(9C_5 = 126\)

your answer is 3.375

On Julie's door, the images will span 210 square inches.

As Julie printed six images, the total space that the images cover is:

6 x 35 square inches = 210 square inches

Inches are measured as 1/36 of a yard in both British Imperial and American Customary measurement systems. According to some sources, the term "inch" comes from the Old English "ince" or "ynce," which in turn is said to have originated from the Roman "uncia" unit.

The name of another English unit, the ounce, is derived from the Roman word uncia. According to legend, King David I of Scotland defined the old English word "ynce" as the width of a man's thumb at the base of the nail in the year or thereabouts 1150 AD.

From the question:

Six images total, each measuring 5 by 7 inches, were printed by Julie. We must first calculate the area of each image in order to add up the overall area that these photographs cover.

One image's area is as follows:

5 inches x 7 inches = 35 square inches

As Julie printed six images, the total space that the images cover is:

6 x 35 square inches = 210 square inches

Consequently, 210 square inches of Julie's door will be covered by the images.

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The annual interest rate is 7.5%.

What is Simple interest?

Simple interest is a type of interest that is calculated on the principal amount (or the initial amount) of a loan or investment, without taking into account any accumulated interest from previous periods.

The formula for simple interest is:

I = P × r × t

where I is the interest earned, P is the principal (initial amount), r is the annual interest rate as a decimal, and t is the time in years.

In this case, we know I = $562.50, P = $1500, and t = 5 years.

we ca substitute values into the formula,

562.50 = 1500× r ×5

Simplifying, we get:

r = 562.50 / (1500 ×5)

r = 0.075

r = 7.5%

Therefore, the annual interest rate is 7.5%.

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Answer:

7

Step-by-step explanation:

x + 8 = 15

Subtracting 8 from both sides,

x = 15 - 8

=> x = 7

Answer:

3 + 35 = 38?

Step-by-step explanation:

The p-value is greater than or equal to 0.02, there would not be enough evidence to substantiate the claim.

The null hypothesis \(($H_0$)\) for the above scenario is that the proportion of readers who own a Rolls Royce is equal to or greater than 55%, represented as \($p \geq 0.55$\).

The alternative hypothesis \(($H_1$)\) is that the proportion of readers who own a Rolls Royce is less than 55%, represented as \($p < 0.55$\).

In summary:

\($H_0: p \geq 0.55$\)

\($H_1: p < 0.55$\)

Where p represents the true population proportion of readers who own a Rolls Royce, and the significance level (or alpha level) of 0.02 indicates the level of significance at which the publisher's claim will be tested. If the p-value resulting from the statistical analysis is less than 0.02,

it would provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis, supporting the publisher's claim that less than 55% of their readers own a Rolls Royce.

Otherwise, if the p-value is greater than or equal to 0.02, there would not be enough evidence to substantiate the claim.

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Answer:

53 m^2

Step-by-step explanation:

53 m^2 is the area of the figure given!

So as given in the question that the sides meet at right angles.

we take the bottom of the upper rectangle as 5m, then the upper side of the lower rectangle will be 3+5+3= 11.

Now, by using the formula of the area of a rectangle that is Area = Height x width, we areas of the two rectangles. Then add both the areas.

Finally we get the area of the given figure!

Hope it helps you!

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Answer:

A = 53 m²

Step-by-step explanation:

A = A1 + A2

= 4m×5m + 3m×(3m + 5m + 3m)

= 20m² + 3m×11m

= 20m² + 33m²

= 53 m²

The solution of the given expression will be 9/16.

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given an expression, [-3*(10+(-7))]²÷[(3-(-9)]²

= [-3*(10+(-7))]²÷[(3-(-9)]² = (-9)²/12²

= 9/16

Hence, The solution of the given expression will be 9/16.

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Answer:ok so 3xis gonna be your 3 so 9+23=32

Step-by-step explanation:

7x7=49+26=75 9x9=81-3=78 so 78+32=110+75=185-113=72

The three statements that are true include the following:

A. The radius of the circle is 3 units.

B. The center of the circle lies on the x-axis.

D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²   .......equation 1.

Where:

h and k represents the coordinates at the center of a circle.

r represents the radius of a circle.

Based on the information provided, we have the following equation of a circle:

x² + y² – 2x – 8 = 0      ......equation 2.

In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:

x² – 2x + y² = 8 = 0

x² – 2x + (2/2)² + y² = 8 + (2/2)²

x² – 2x + 1 + y² = 8 + 1

(x – 1)² + (y - 0)² = 9         .......equation 3.

By comparing equation 1 and equation 3, we have the following:

Center (h, k) = (1, 0)

Radius (r) = 3

Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).

(x - 0)² + (y - 0)² = 3²

x² + y² = 9.

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Answer:b

Step-by-step explanation:

jfdjiodkskskdkdkdekdikwodwiosisisis=g

Answer

parallel lines go strait and never intersect

Step-by-step explanation:

From the given linear function, it is found that:

The density of the substance is of 1.5 grams per milliliter.

The slope-intercept representation of a linear function is given by the rule presented as follows:

y = mx + b

The coefficient m is the relevant coefficient of the linear function in this problem, which is the slope, representing by how much the output (in this case the mass) changes when the input (in this case the volume), increases by 1.

The density is given by the mass divided by volume, that is:

Density = mass/volume.

This graph is a proportional relationship, which is a special case of a linear function(intercept of 0), hence the density is calculated applying the division of the mass by the volume at any point of the graph.

Choosing point (2,3), the density is given as follows:

Density = 3/2 = 1.5 grams per milliliter.

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When applying the some rule, we only combine two equal ratios at once. Consequently, we deal with pairs of sides and angles that have equivalent ratios.

When two ratios are equal, a percentage is formed; alternatively, two equal ratios can be said to produce a proportion. When we understand that two ratios are equal, you can write a proportion. The ratios of these two numbers are equal.

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant. Two angles are said to be complimentary if their sum is 90 degrees. Alternatively put, two angles are said to be complimentary if they combine to make a right angle.

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Answer:

  4.23 square units

Step-by-step explanation:

The area of the triangle is given by the formula ...

  K = 1/2ab·sin(C)

__

Filling in the given values, we find the area to be ...

  K = 1/2(4)(5)sin(25°) = 4.23 . . . . square units