Calculate the number of subsets and the number of proper subsets for the set {1, 2, 3, 4, 5}.A subset is nothing but a part of a set.

Answer:

3x×5x=15x² so what's the second way

Answer:

entrance fee: $8

cost of each ride: $3

ANSWER :

The height of the prism is h = 7 ft

The are of the base is B = 12 ft^2

The perimeter of the base is P = 18 ft

Fill in the formula. S = 2x12 + 18x7

The surface area of the triangular prism is 150 ft^2

EXPLANATION :

The given formula for the surface area is :

where B = Base area

P = perimeter of the bases

h = height of the prism

The height of the prism is h = 7 ft

The base is a triangle with dimensions of b = 8 ft and a height h = 3 ft

The area of a triangle is :

The are of the base is B = 12 ft^2

The perimeter of the base is 5 + 5 + 8 = 18 ft, so P = 18 ft

Substitute the results in the formula :

Answer:

answer for a. a^2

answer for b. c

Answer:

Use cross product to determine if the two ratios form a proportion. Here we can see that 2/16 and 5/40 are proportions since their cross products are equal. Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100.

Step-by-step explanation:

hope this help

pick me as the brainliest

Answer:

Step-by-step explanation:

a) 2x = 10

Divide both side by 2

x = 10/2

x = 5

b) -3x = 21

Divide both sides by (-3)

x = 21/(-3)

x = -7

\(c) \frac{1}{3}x = 6\)

Multiply both sides by 3

x = 6*3

x = 18

\(d)\frac{-1}{2}x = -7\)

Multiply both sides by (-2)

x = -7 * (-2)

x = 14

The antiderivative of f(x)=x^4 7sqrt(x) is with f(1) = -1 is f(x) = \(2x^{(\frac{7}{2})} - 2 - 2^{(\frac{1}{2})}\).

To find the antiderivative of the given function, we need to integrate it with respect to x. Let's begin by separating the terms:

f(x) = x⁴ * 7sqrt(x)

= 7x⁴ * sqrt(x)

Using the power rule of integration, we can integrate each term:

∫7x⁴ * sqrt(x) dx

= 7 ∫\(x^{(4+\frac{1}{2})}\) dx

= 7 * \(\frac{2}{7} x^{(\frac{7}{2})}\) + C

=\(2x^{(\frac{7}{2} )}\) + C

Here, C is the constant of integration. To determine its value, we use the given initial condition:

f(1) = \(2(1)^{\frac{7}{2} }\) + C = -1

Simplifying, we get:

C = -2 - \(2^{(\frac{1}{2} )}\)

Therefore, the antiderivative of f(x) with f(1) = -1 is:

f(x) = \(2x^{(\frac{7}{2})} - 2 - 2^{(\frac{1}{2})}\)

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Answer:

93.75 cm^2

Step-by-step explanation:

The breadth = x cm

length=x+5 cm

perimeter =2 (l+b) which becomes

2 (x+5+x)=4x+10 cm:

4x+10=40

4x=30

x=30/4=7.5

so, breadth = 7.5 cm

length = 12.5 cm,

area = 12.5*7.5 = 93.75

Step-by-step explanation:

perimeter of the rectangle= 2(length+width)

let the known width be 'x'

length be 5+x

40 = 2(5+x+x)

40 = 10+2x+2x

40-10 = 4x

30/4 = 4x/4

x = 7.5

width=7.5cm

length= 7.5+5 = 12.5cm

area = length×width

area = 12.5×7.5 = 93.75cm²

Answer:15t + 10x = 103

Step-by-step explanation:

t = tutor hours

x = waitress hours

Answer:

The area of a rectangle is calculated by multiplying its length by its width. This can be written as:

Area = Length x Width

You know that the area of the sandbox is 17 square feet and the length is 3 feet. So, you can set up the equation like this:

17 = 3 x Width

To solve for the width, you need to divide both sides of the equation by 3:

Width = 17 / 3

So, the width of the sandbox is approximately 5.67 feet.

1) Since this investment has been in an account with 12% compound interest per year, then we can write out the following:

a) Note that there was no withdrawal during this first year.

b) To find out the amount of money over a course of this time 2 years, then we can write out the following:

In this case, it is also compounded per year. Just the period (t) is greater than the other one.

So, we can tell the following about the earnings of this investment:

Answer:

4 yd

Step-by-step explanation:

220/55

hope it helps

The magnitude of the resultant displacement of the hurricane is 273 km. To find the magnitude of the resultant displacement, we need to consider the vector components of each leg of the hurricane's movement and then calculate the sum.

Given:

1. South of the Hawaiian Islands: 179 km at an angle of 20 degrees north of west.

2. Due west: 141 km.

3. South of west: 148 km at an angle of 16 degrees south of west.

First, we need to convert the given angles to their respective components in the x and y directions.

For the south of the Hawaiian Islands:

Component in the x direction = 179 km * cos(20°)

Component in the y direction = -179 km * sin(20°)

For the south of west:

Component in the x direction = -148 km * cos(16°)

Component in the y direction = -148 km * sin(16°)

Now, we can add the x and y components to get the resultant displacement:

Resultant displacement in the x direction = Component in the x direction for south of the Hawaiian Islands + Component in the x direction for south of west + Component in the x direction for due west

Resultant displacement in the y direction = Component in the y direction for south of the Hawaiian Islands + Component in the y direction for south of west + Component in the y direction for due west

Finally, we can calculate the magnitude of the resultant displacement using the Pythagorean theorem:

Magnitude of the resultant displacement = sqrt((Resultant displacement in the x direction)^2 + (Resultant displacement in the y direction)^2)

After performing the calculations, the magnitude of the resultant displacement of the hurricane is found to be 273 km.

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The correct response is d) All the above. The arithmetic mean is equal to the median, the median is equal to the mode, and the mode is equal to the arithmetic mean.

If the data are graphed symmetrically, the distribution demonstrates 0% skewness regardless of how long or fat the tails are. When the median of a data set is utilized, 50% of the data points in the collection have values lower than or equal to the median, and 50% of them have values greater than or equal to the median. The middle score in the set is known as the median. The first step in calculating the median is to order the data points from smallest to greatest. The median in an odd-numbered set will be the value that falls exactly in the middle of the list. You must determine the average of the two middle numbers in a set of even numbers. The average is determined by summing up each value individually and dividing that sum by the total number of observations.

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The sum of the shares of seun and dayo is n80.00.

A ratio shows how frequently a number encompasses another. If you have eight oranges and six lemons in a fruit plate, the orange-to-lemon ratio is eight to six. Similarly, the orange-lemon ratio is 6:8, and the orange-to-total fruit ratio is 8:14.

Given that,

Seun, tayo and dayo are to share n = 120 in the ratio 4:3:2 respectively.

Here n = 120

Seun ,tayo and dayo = 4:3:2

Seun shares = 120 × \(\frac{4}{9}\)

seun shares = 120 × 0.44

seun shares = 53.33

dayo shares = 120 × \(\frac{2}{9}\)

dayo shares = 120 × 0.22

dayo shares = 26.67

Sum of the shares of seun and dayo is 53.33 + 26.67

Sum of the shares of seun and dayo is 80.00

Therefore, the sum of shares of seun and dayo is 80.00.

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Hello!

To find f(12):

 ⇒ must plug in '12' into the x's position in the equation

  \(f(12)=-2(12) +1=-24+1=-23\)

Hope that helps!

The limit as x approaches one is infinity.

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} =\infty\)

The limit of a function, f(x) as x approaches a given value b, is define as the value that the function f(x) attains as the variable x approaches the given value b.

From the given question, as x approaches 1,

substituting x into 1 - x,

the denominator of the function approaches zero, because 1 - 1 = 0 and thus the function becomes more and more arbitrarily large.

Thus, the limit of the function as x approaches 1 is infinity.

Therefore,

The limit (as x approaches 1)

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} = \infty \)

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A good residual plot should have the points randomly scattered around the horizontal line with no discernible pattern.

This indicates that the model is well fit to the data. The residuals should also be equally distributed on either side of the horizontal line. This can be seen as the sum of the residuals being equal to 0, or mathematically expressed as the sum of the residuals (e) being equal to 0, where \(e = y - ŷ\), where y is the observed value and ŷ is the predicted value. The equation can be expressed as Σe=0.

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15 = 29 - x

15 + x = 29

x = 29 - 15

x = 14

Answer:

A'(-21 , 7)

B'(14 , 28)

C'(0 , -28)

Step-by-step explanation:

Multiply the x and y values of A, B, and C by a factor of 7 to get the increased result.

answer= in explanation

explanation=

Subtract the two numbers, comment the answer you get and i will tell you the percentage ( i didn't want to give you the answer yet).

Answer:

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

The domain and range of all linear functions is the set of real numbers.

The sequence is a function because each rule produces one output for each input, hence option C is the correct answer.

A sequence is a grouping of any items or a collection of numbers in a specific order that adheres to some norm.

Given sequence, 10..6, 11.8, 13 has a common difference between all the consecutive terms, that is, 12.

Hence, the sequence represents a linear function.

Since, the sequence is a linear function, every input will produce an output according to the rule.

Hence, the sequence is a function because each rule produces one output for each input, hence option C is the correct answer.

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Answer:

(-5.5, -4.5)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.

Answer:

it 480

Step-by-step explanation:

if your k 12 this is right

Answer:

The Answer is A. 480, I picked 525 and got it wrong because I was doubting that it wasnt 480 but it was. well good luck

Answer:

x3=y

Step-by-step explanation:

Given: A = 43.7°, a = 8.7, and b = 10.3We can find the number of possible triangles by using the Law of Sines, which states that a / sin A = b / sin B = c / sin C, where a, b, and c are the side lengths and A, B, and C are the opposite angles. Let's first use the Law of Sines to find the value of sin B: a / sin A = b / sin B => sin B = b sin A / a.

Substituting the given values, we get: sin B = 10.3 sin 43.7° / 8.7≈ 0.641Now we know the value of sin B. We can use the inverse sine function (sin⁻¹) to find the possible values of angle B: B = sin⁻¹ (0.641)≈ 40.4° or B ≈ 139.6°Note that there are two possible angles for B because sine is a periodic function that repeats every 360°.Now that we know the possible values of angle B, we can use the fact that the sum of the angles of a triangle is 180° to find the possible values of angle C: C = 180° - A - B. For B = 40.4°, we get: C = 180° - 43.7° - 40.4° = 95.9°For B = 139.6°, we get: C = 180° - 43.7° - 139.6° = -2.3°Note that we get a negative value for angle C in the second case, which is not possible because all angles of a triangle must be positive. Therefore, the second case is not valid and we only have one possible triangle. Answer: There is only one possible triangle.

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