Thabo states that y =5× +10 is the correct formula for the function illustrated in the table. Is Thabo correct? Show all the calculations that you have used in determining your answer

Answer:

The average speed on the return trip is 2.44 miles/h.                  

Step-by-step explanation:

To find the average speed we need to use the following equation:

\( \overline{v} = \frac{d}{t} \)

Where:

d: is the distance

t: is the time

Since the question is to find the average speed on the return trip, we will take the data of the time and speed of only the return trip.

\(\overline{v} = \frac{d}{t} = \frac{5 + 1/2}{2 + 1/4} = 2.44 miles/h\)                

Therefore, the average speed on the return trip is 2.44 miles/h.

I hope it helps you!

Answer:

?

Step-by-step explanation:

Answer:

$180.00

Step-by-step explanation:

The painting is rectangular and it measures 1 meter by 2 meters. The frame shop charges $30.00 per meter for a wooden frame.

To find the cost, we need to find the perimeter of the painting and then multiply it by the cost of a wooden frame per meter.

The perimeter of a rectangle is:

P = 2(L + B)

P = 2(1 + 2) = 2 * 3 = 6 m

The cost of the frame is therefore:

6 * 30 = $180.00

An experiment with the sample space is (A\capB\capC)' = S \ (A\capB\capC) = S \ {c} = {a, b, d, e, f, g, h, i, j, k}

A\cupB\cupC\cupD = {a, b, c, d, e, f, g, h, i, j, k}

(B\cupC\cupD)' = S \ (B\cupC\cupD) = {a, c, d, e, g, i}

Using the notation ' to represent complement and \cap to represent intersection, we have:

A' = {b, d, f, h, i, j, k}

C' = {a, b, d, e, j, k}

D' = {c, e, f, i}

A\capB = {c}

A\capC = {c, g}

C\capD = {c, f, g, h, i}

Using the fact that (X)' = S \ X, we have:

(A\capB\capC)' = S \ (A\capB\capC) = S \ {c} = {a, b, d, e, f, g, h, i, j, k}

A\cupB\cupC\cupD = {a, b, c, d, e, f, g, h, i, j, k}

(B\cupC\cupD)' = S \ (B\cupC\cupD) = {a, c, d, e, g, i}

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(5.097, 7.404) is the 90% confidence interval for the true mean amount of time teenagers from this town watch sports. This can be solved using the concept of standard deviation.

Data dispersion in regard to the mean is quantified by a standard deviation, or "σ". Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

Because it makes measures easier to comprehend when the data is spread, standard deviation is significant. The data's standard deviation will increase as the data's distribution becomes more widely scattered. The deviation of each observed value from the mean is measured using this metric. The majority of data in any distribution will fall within a 2 standard deviation range of the mean.

Thus, (5.097, 7.404) is the 90% confidence interval for the true mean amount of time teenagers from this town watch sports.

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The complete question is as follows:

A sports marketing company is interested in how many hours teenagers in a town spend watching sports. They randomly select 40 teenagers in this town and ask how many hours per week they spend watching sports. The mean amount is 6.25 hours with a standard deviation of 4.33 hours. Which of the following is the 90% confidence interval for the true mean amount of time teenagers from this town watch sports?

Find the t-table here.

(4.396, 8.104)

(4.865, 7.635)

(5.097, 7.404)

(5.245, 7.256)

The volume of a rectangular prism is always greater than or equal to the volume of a pyramid with the same height and base.

How to find the volume of a rectangular prism and pyramid?

The formula for the volume of a rectangular prism is:

Volume = Length * Width * Height

The formula for the volume of a pyramid is:

Volume = (Base Area * Height) / 3

The volume of a rectangular prism is always greater than or equal to the volume of a pyramid with the same height and base.

This is because the volume of a rectangular prism is calculated by multiplying its three dimensions together, whereas the volume of a pyramid is calculated by multiplying the base area by the height and dividing the result by 3.

Hence, the volume of the rectangular prism is greater than the volume of the pyramid with the same height and base. This is because the rectangular prism has additional volume in the form of its width, which the pyramid does not have.

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Answer:

Step-by-step explanation:

Answer:

sorry please....what is the end of the question ....no task to do

Answer:

The solution would be (3,2)

Step-by-step explanation:

Now the equation to find the graph does not matter to find the solution right now. Only the graph will be need as long as the graph is already filled. To find the solution, all you have to do is find the point where the two lines cross. On this graph, you can see that point in the two lines where there is a circle.

Part A:The volume of cat food in the can is approximately 9.62 cubic inches.

Part B:The ratio of cubic inches to ounces is approximately 1.66:1.

Volume is a measure of the amount of space occupied by an object or a substance. It is the quantity of three-dimensional space enclosed by a closed surface or bounded by a given set of points. Volume is typically measured in cubic units, such as cubic meters (m³) or cubic centimeters (cm³).

PART A:

The volume of a cylinder can be calculated using the formula V = πr²h, where V is the volume, r is the radius, and h is the height. Since the diameter of the can is 3.5 inches, the radius is half of that, or 1.75 inches. The height of the can is 1 inch.

Plugging these values into the formula, we get:

V = π(1.75)²(1)

V ≈ 9.62 cubic inches

Therefore, the volume of cat food in the can is approximately 9.62 cubic inches.

PART B:

To write a ratio of cubic inches to ounces, we need to divide the volume of the can (in cubic inches) by the weight of the cat food (in ounces):

Ratio = Volume of cat food in can (cubic inches) / Weight of cat food (ounces)

Ratio = 9.62 cubic inches / 5.8 ounces

Ratio ≈ 1.66 cubic inches per ounce

Therefore, the ratio of cubic inches to ounces is approximately 1.66:1.

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The highest score for the given distribution is 25.

This is because the distribution is divided into ranges, with the first range being 20-25, the second range being 15-19, the third range being 10-14, and the fourth range being 5-9.

The highest score in each range is the number on the right side of the dash.

Therefore, the highest score in the first range is 25, the highest score in the second range is 19, the highest score in the third range is 14, and the highest score in the fourth range is 9.

Since 25 is the highest score among all of the ranges, it is the highest score for the entire distribution.

The correct answer is c) 25.

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Answer:

The answer is four halves donut i believe

Step-by-step explanation:

The probability of getting a return of 200% or more in a single year is approximately 0.0000317 or 0.00317%.

Assuming that the returns from holding small-company stocks are normally distributed, the probability of doubling or tripling your money in a single year can be estimated using the normal distribution formula.

To calculate the probability of doubling your money, you need to find the number of standard deviations away from the mean that represents a return of 100%. If we assume that the average return for small-company stocks is 10% per year with a standard deviation of 20%, we can use the formula:

Z = (100% - 10%) / 20% = 4.5

Using a normal distribution table or calculator, we can find that the probability of getting a return of 100% or more in a single year is approximately 0.0000317 or 0.00317%.

Similarly, to calculate the probability of tripling your money, you need to find the number of standard deviations away from the mean that represents a return of 200%. Using the same formula as above, we get:

Z = (200% - 10%) / 20% = 9.5

Using a normal distribution table or calculator, we can find that the probability of getting a return of 200% or more in a single year is approximately 0.000000002 or 0.0000002%.

It's important to note that these calculations are based on assumptions and estimates, and actual returns may vary significantly. Investing in small-company stocks involves significant risks, and investors should carefully consider their investment goals, risk tolerance, and overall financial situation before making any investment decisions.

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Answer:

45 $

Step-by-step explanation:

20 x 2 = 40

40 + 5 = 45

Answer:

w^18

Step-by-step explanation:

exponents are multiplied when there is a parenthesis between them

Answer:

\(w^{18}\)

Step-by-step explanation:

the "power to a power" rule allows you to multiply those two exponents. \((x^{a} )^{b} =x^{ab}\) is the formula for this rule. in this question, x is w, a is 3, and b is 6. we can multiply the 3 and 6 and get 18 and keep the base the same.

Answer:

reference attached

Step-by-step explanation:

Refer the attachment

Answer:

4 / ($3.28)   is the correct answer

Step-by-step explanation:

As cost of  one box is  $3.28

the cost of four boxes will be  4 divided by the cost of one box....so that why the  4/($3.28) is correct option

The expression which describes the given phrase that the product of a number and the difference of the squares of the opposite of seven and four is 33x.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Let's consider that number is x.

Now, the opposite of 7 is -7 and the opposite of 4 is -4.

The difference between square of -7 and -4 is,

(-7)² - (-4)² = 49 - 16 = 33

The product of 33 and x is 33x.

Hence "The expression which describes the given phrase that the product of a number and the difference of the squares of the opposite of seven and four is 33x".

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The actual area of the logo 1 is 24ft²

The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.

The actual sides of the logo 1 will be;

base = 1/2 in

= 1/2 × 8 = 4ft

small base = 1/4 × 8 = 2ft

The logo can be sub divided into two equal trapezoid.

area of trapezoid = 1/2 (a+b)h

= 1/2( 4+8) 2

= 12 ft²

area of the logo = 2 × 12 = 24ft²

Therefore the area of the logo is 24ft²

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The value of the double integral ∫∫\(\frac{y^{2} }{x^{2} +y^{2} }\) dA is 131.95.

We know that in polar coordinates, the circle become r = 4 and r = 16. These are the limits on the radius. Clearly the limits on the angle are

0 ≤ θ ≤ 2π.

Therefore we get,

∫∫ \(\frac{y^{2} }{x^{2} + y^{2} }\) dA = ∫ ∫ r²sin²θ / r² dr dθ

                  = ∫ sin²θ dθ ∫ r dr

                  = [ \(\frac{1}{2}\)θ - \(\frac{1}{4}\)sin(2θ)]₀²ⁿ[ \(\frac{1}{2}\) r²]₄¹⁰

                  = \(\frac{1}{4}\) (2π)(10² - 4²)

                  = 42π

∫∫ \(\frac{y^{2} }{x^{2} + y^{2} }\) dA = 131.95.

What is Polar coordinates?

When each point on a plane of a two-dimensional coordinate system is decided by a distance from a reference point and an angle is taken from a reference direction, it is known as the polar coordinate system.

Polar coordinates are useful in calculating the equations of motion from a lot of mechanical systems. Polar coordinate means the magnitude and direction of a vector.

Polar coordinate system of locating points in a plane with reference to a fixed point O and a ray from the origin usually chosen to be the positive x-axis.

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Answer:

Yes, you are correct.

Step-by-step explanation:

\(\text{Let the number of puzzle solved by Child B is} x\text{.}\)

\(\text{Then the average number of puzzle solved is}\)

\(\frac{5x+x+(x+4)}{3}=13\)

\(\frac{7x+4}{3}=13\)

\(7x+4=39\)

\(7x=35\)

\(x=5\)

\(\text{Therefore, the number of puzzles solved by child A is }5x=5\cdot5=25\)

\(\color{blue}\text{A little tips here: You can check it by substituting your answer to the original equation.}\)

Answer:

You are correct.

Step-by-step explanation:

\(13 \times 3 = 9\)

Child B completed \( x \)

Child A = \(5x\)

Child C = \(x + 4\)

\(x + 5x + x + 4 = 39\)

\(7x = 35\)

\(x = 5\)

Child A = \(5 \times 5 = 25\)

The length of IKE is 2x - 12.

A condition on a variable that is true for just one value of the variable is called an equation.

Since KITE is a kite, we know that KT = IT and KE = IE. Let's call the length of these diagonals d. Then we have:

KT + TI = d

KE + EI = d

Substituting in the given values, we get:

x + 6 + 2x = d

2x + IE = d

Solving for d in the first equation, we get:

3x + 6 = d

Substituting this into the second equation, we get:

2x + IE = 3x + 6

Solving for IE, we get:

IE = x + 6

Therefore, IKE is equal to:

IKE = IT - IE

IKE = (d - KT) - (x + 6)

IKE = (3x + 6 - x - 6) - (x + 6)

IKE = 2x - 12

So, the length of IKE is 2x - 12.

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This equation is not satisfied for any value of x. Therefore, there is no optimal value of good x in this case.

To find the optimal value of good x in Ann's utility function U(x,z) = xz/(x+z) with pz = 1, we need to maximize the utility function.
To do this, we can take the derivative of the utility function with respect to x and set it equal to zero.
First, let's differentiate the utility function:
dU/dx = (z(x+z) - xz)/(x+z)^2
Setting this equal to zero, we have:
(z(x+z) - xz)/(x+z)^2 = 0
Simplifying, we get:
z(x+z) - xz = 0
Expanding and rearranging, we have:
xz + z^2 - xz = 0
Simplifying further, we get:
z^2 = 0
Since pz = 1, we can substitute z = 1 into the equation:
1^2 = 0
This equation is not satisfied for any value of x. Therefore, there is no optimal value of good x in this case.

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Option (a) 1/50 The average of the 50 samples of x can be calculated as the sum of the values of x divided by the number of samples, which is 50 in this case.

Since x has a mean of 1, we know that the sum of the values of x is 50 times 1, which is 50. The variance of x is 4, which means that the standard deviation of x is 2. This means that the standard error of the mean of x, which is the standard deviation of the sample mean, is 2 divided by the square root of 50, which is approximately 0.283. Therefore, the 95% confidence interval for the mean of the 50 samples of x is [1 - 1.96(0.283), 1 + 1.96(0.283)] = [0.44, 1.56]. Since none of the answer choices fall within this interval, we cannot determine the correct answer without additional information.

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To obtain an error of less than 0.001 when approximating the sum of the series, a minimum of 50 terms are required.

To approximate the sum of the series [infinity]∑_n=1 1/n2 with an error of less than 0.001, we can use the formula for the error of a partial sum: |S - S_n| < ε, where S is the sum of the series, S_n is the nth partial sum, and ε is the maximum allowable error.

The sum of the terms of a sequence is called a series.

The sum of the artithmetic sequence formula is used to calculate the total of all the digits present in an arithmetic progression or series.

To recall, arithmetic series of finite arithmetic progress is the addition of the members. The sequence that the arithmetic progression usually follows is (a, a + d, a + 2d, …) where “a” is the first term and “d” is the common difference.

There are two ways with which we can find the sum of the arithmetic sequence.

For this problem, we have:
S = π^2/6 (the famous Basel problem)
ε = 0.001
To find the number of terms necessary to satisfy this inequality, we can rearrange it to get:
S_n > S - ε
π^2/6 - 0.001
Using a calculator, we find that S_n > 1.64467.

Now we need to find the smallest value of n such that the nth partial sum is greater than this:
1 + 1/4 + 1/9 + ... + 1/n^2 > 1.64467
We can use a computer program or a table of values to find that n = 50 is the smallest value that satisfies this inequality.

Therefore, we need at least 50 terms to approximate the sum of the series with an error of less than 0.001.

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Answer:

Number of terms = 3

Degree = 6

Step-by-step explanation:

A polynomial is a mathematical expression that gives the detailed combination of variables with their coefficients, their positive exponential, and other variables using the operations of subtraction, addition, and multiplication

The number of terms in a polynomial is the number of different powers of added or subtracted in the expression

Therefore, the number of terms in the expression -3·s⁶ + 2·s⁴ + 3·s³ is 3 terms

Number of terms = 3

The degree of a polynomial is given by the highest power of the variables in the polynomial. Therefore, the degree of the given polynomial is 6

Degree = 6

The number formed by the digits 16, 06, and 68 is 160668, which is determined by concatenating them in the given order.

To determine the number formed by the given digits, we concatenate them in the given order. Starting with the first digit, we have 16. The next digit is 06, and finally, we have 68. By combining these three digits in order, we get the number 160668.

When concatenating the digits, the position of each digit is crucial. The placement of the digits determines the resulting number. In this case, the digits are arranged as 16, 06, and 68, and when they are concatenated, we obtain the number 160668. It's important to note that the leading zero in the digit 06 does not affect the value of the resulting number. When combining the digits, the leading zero is preserved as part of the number.

Therefore, the number formed by the digits 16, 06, and 68 is 160668.

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