Two linear functions are shown below. Which function has the greater rate of change? Function A: 4 8 12. y 1 2 3 4 Function B: y= 0.75x - 2​

Answer:

A)

Step-by-step explanation:

A)

Answer:

(0,-1),(2,5)

Step-by-step explanation:

3x-y=1

0.5\(x^{2}\)+2x-1=y

Substitute the equation of y into the other equation

3x-(0.5\(x^{2}\)+2x-1)=1

3x-0.5\(x^{2}\)-2x+1=1

collect like terms

-0.5\(x^{2}\)+x=0

Solve for x

x(-0.5x+1)=0

0=-0.5x+1

-1=-0.5x

x=2 x=0

Back substitute into the other original equation and solve for y

3(2)-y=1

6-y=1

y=5

(2,5)

3(0)-y=1

-1(-y)=-1(1)

y=-1

(0,-1)

The cost of the utility pole is approximately $593.96.

Volume is a measure of the amount of space occupied by a three-dimensional object. It is usually measured in cubic units such as cubic meters (m³), cubic centimeters (cm³), or cubic feet (ft³). The volume of an object can be found by measuring its length, width, and height and using a formula that relates these dimensions to the amount of space the object occupies. In geometry, the most common shapes for which volume is calculated include cubes, spheres, cylinders, pyramids, and cones.

The volume of a right cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height.

In this case, the diameter of the utility pole is 1.5 ft, so the radius is 0.75 ft. The height is 45 ft. Therefore, the volume of the utility pole is:

V = π(0.75 ft)²(45 ft) = 23.3826... cubic feet

Rounding to the nearest hundredth, we get:

V ≈ 23.38 cubic feet

The cost of wood per cubic foot is $25.37. Therefore, the cost of the utility pole is:

$25.37/cubic foot × 23.38 cubic feet ≈ $593.96

So the cost of the utility pole is approximately $593.96.

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The distance from the runner in 2nd place to the point directly below the helicopter is given as follows:

304.26 feet.

The three trigonometric ratios are defined as follows:

The parameters for this problem are given as follows:

Hence the distance is obtained applying the tangent function as follows:

tan(60º) = 527/x

x = 527 / tangent of 60 degrees

x = 304.26 feet.

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Answer: D. f (x) = 3/x-3+1

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The probability that at least one of them is a kindergartner; 0.643.

Calculating or estimating how likely something is to occur is what probability is all about. The likelihood of an event occurring can be expressed using words like "certain," "impossible," or "probable."

Probabilities are always expressed in mathematics as fractions, decimals, or percentages with values ranging from 0 to 1.

Calculation for the probability of the one of them is a kindergarden;

The total number of children is 8.

The total number of kindergarden are 3.

The total number of first graders are 5.

Let 'P' be the probability that at least one of them is kindergarden.

P(at least one kindergartner) = 1 - P(no kindergartner) = 1 - P(all first-graders)

The probability that all are first-graders = (5/8)×(4/7)

                                                                  = 5/14

Therefore, P(at least one kindergartner) = 1 - (5/14)

                                                                   = 9/14

                                                                   = 0.643

Therefore, if two children are ill then, the probability that at least one of them is a kindergartner is 0.643.

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The correct question is-

A carpool contains three kindergartners and five first-graders. if two children are ill, find the probability that at least one of them is a kindergartner.

Answer:

40x30= 1200, 20x15=300, 300/1200= 1/4.

Step-by-step explanation:

You can also visualize it. Imagine a field 40’ long and the boy cut the top 20’ of it but left 20’ of the bottom, he would have cut half of it at this point. Now it’s 30’ wide and he cut the left 15’ of what’s remaining but left the right 15’ uncut. So now there’s a 20’x15’ bottom right corner left uncut. There are 4 sections that are 20’x15’ and he left one out of four uncut, otherwise written as 1/4.

Answer:

6.735

Step-by-step explanation:

im smart

Answer:

6 cups of water

Step-by-step explanation:

A recipe calls for 3 cups of sugar and 9 cups of water. How many should be used with 2 cups of sugar?

The question above, is solved below:

3 cups of sugar = 9 cups of water

2 cups of sugar = x

Cross Multiply

3x = 9 × 2

x = 18/3

x = 6

Hence, 2 cups of sugar = 6 cups of water

Answer:i dont see anything

Step-by-step explanation:

False. When conducting a cluster sample, it is typically preferable to have more heterogeneous clusters with fewer individuals.

This is due to the fact that when clusters are diverse, it is crucial to appropriately represent the population by capturing its diversity.

In such situations, the danger of sampling bias is increased by having fewer clusters with more individuals because a larger number of people from a single heterogeneous cluster would not fairly represent the overall community. Incorrect estimates and conclusions may result from this.

Having fewer clusters with more individuals, on the other hand, can assist raise the precision of the estimates when clusters are homogeneous by lowering the variance associated with sampling from a single cluster. In general, to achieve a precise representation of the population and to lessen the chance of sampling bias, the number of clusters and the size of each cluster should be balanced.

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Answer:

a

Step-by-step explanation:

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answer:

7.04

Step-by-step explanation:

2.27

2.27

2.50 equals 7.04

a = pr, b = ps + qr, c = qs are the values for given product of binomials.

What is binomial?

In mathematics, a binomial is an algebraic expression with two terms, such as "x + y". It is also used to refer to a specific type of probability distribution, called the binomial distribution, which describes the number of successes in a fixed number of independent trials with a constant probability of success.

What is factor?

In mathematics, a factor is a number or expression that divides another number or expression evenly, without leaving a remainder.

If \(ax^2+bx+c\) can be factored into two binomials, then we can write it as:

\(ax^2 + bx + c = (px + q)(rx + s)\)

Expanding the right-hand side, we get:

\(ax^2 + bx + c = prx^2 + (ps + qr)x + qs\)

Comparing the coefficients of \(x^2, x,\) and the constant term, we get:

a = pr

b = ps + qr

c = qs

So, if \(ax^2+bx+c\) can be factored into two binomials, then the values of a, b, and c are related such that a is the product of the leading coefficients of the two binomials, c is the product of their constant terms, and b is the sum of the products of their outer and inner terms.

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Answer:

Step-by-step explanation:

Correct option is A)

There are 330 ways to select 7 seed packets out of 11.

To count the number of ways to select 7 seed packets out of 11, we can use the combination formula:

\(( \frac {k}n )= k!(n-k)!n!\)

where n is the number of items to choose from, and k is the number of items to choose. In this case, n=11 and k=7.

Plugging these values into the formula, we get:

\(( \frac{7}{11})= 7!(11-7)!11!\)

Simplifying the factorials, we get:

\(( \frac{7}{11})= \frac{7\times 6\times 5\times 4\times 3\times 2\times 1}{11\times 10\times 9\times 8\times 7\times 6\times 5}\)

Simplifying further, we get:

\(( \frac{7}{11} )= \frac{4\times 3\times 2\times 1}{11\times 10\times 9\times 8}\)

Simplifying again, we get:

\((\frac{11}7)=330\)

Therefore, there are 330 ways to select 7 seed packets out of 11.

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The amount of the periodic payment necessary for the deposit to a sinking fund is approximately $18,065.19.

To find the amount of the periodic payment necessary for the deposit to a sinking fund, we can use the formula for the future value of an ordinary annuity. The formula is:

X = A * (1 + r)^nt / [(1 + r)^nt - 1]

Where:

X is the amount needed

A is the periodic payment

r is the interest rate per period

n is the number of compounding periods per year

t is the total number of years

Given the information:

Amount Needed (X) = $85,000

Frequency: Quarterly

Rate (r) = 1.4% (or 0.014 as a decimal)

Time (t) = 5 years

Since the frequency is quarterly, the number of compounding periods per year (n) is 4.

Substituting the values into the formula:

$85,000 = A * (1 + 0.014)^(4*5) / [(1 + 0.014)^(4*5) - 1]

Simplifying the equation:

$85,000 = A * (1.014)^20 / [(1.014)^20 - 1]

To find the value of A, we can rearrange the equation:

A = $85,000 * [(1.014)^20 - 1] / (1.014)^20

Using a calculator or spreadsheet, we can calculate the value of A.

A ≈ $85,000 * 0.298 / 1.350

A ≈ $18,065.19

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Answer:

Step-by-step explanation:

$5

Step-by-step explanation:

The opposite of multiplication is division.

$15/Raking = 3 times more pay than mowing the lawn.

Divide $15/Raking by 3 and you'll get the pay for mowing the lawn.

15/3 = 5

Answer:

Kayla gets $5 paid to mow the lawn.

Step-by-step explanation:

if she get 3 times to rake the lawn.

then she get 15/3 = $5

Answer:

unlimited solutions (all real numbers)

Step-by-step explanation:

3x + 21 = 3(x +7)

3x + 21 = 3x + 21

Answer:

WOW SPORTS

Step-by-step explanation:

The point (9, -7) is the only solution to the system of linear inequalities given.

To determine which point would be a solution to the system of linear inequalities, let's substitute the given points into the inequalities and see which point satisfies both inequalities.

The system of linear inequalities is:

y > -4x + 6

y > (1/3)x - 7

Let's test each given point:

For the point (9, -7):

Substituting the values into the inequalities:

-7 > -4(9) + 6

-7 > -36 + 6

-7 > -30 (True)

-7 > (1/3)(9) - 7

-7 > 3 - 7

-7 > -4 (True)

Since both inequalities are true for the point (9, -7), it is a solution to the system of linear inequalities.

For the point (-12, -2):

Substituting the values into the inequalities:

-2 > -4(-12) + 6

-2 > 48 + 6

-2 > 54 (False)

-2 > (1/3)(-12) - 7

-2 > -4 - 7

-2 > -11 (False)

Since both inequalities are false for the point (-12, -2), it is not a solution to the system of linear inequalities.

For the point (12, 1):

Substituting the values into the inequalities:

1 > -4(12) + 6

1 > -48 + 6

1 > -42 (True)

1 > (1/3)(12) - 7

1 > 4 - 7

1 > -3 (True)

Since both inequalities are true for the point (12, 1), it is a solution to the system of linear inequalities.

For the point (-12, -7):

Substituting the values into the inequalities:

-7 > -4(-12) + 6

-7 > 48 + 6

-7 > 54 (False)

-7 > (1/3)(-12) - 7

-7 > -4 - 7

-7 > -11 (True)

Since one inequality is true and the other is false for the point (-12, -7), it is not a solution to the system of linear inequalities.

In conclusion, the point (9, -7) is the only solution to the system of linear inequalities given.

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The amount of waste is 22 oz

The weights of the 3 rainbow trouts are:

3 Ib 5 oz, 2 Ib 12 oz, and 3 Ib 8 oz.

The total weight is:

Total = 3 Ib 5 oz + 2 Ib 12 oz + 3 Ib 8 oz

Evaluate the sum

Total = 8 Ib 25 oz

The amount she was left with is 8 Ib 2 oz

Subtract this amount from the total

Waste = 8 Ib 25 oz - 8 Ib 2 oz

Evaluate

Waste = 22 oz

Hence, the amount of waste is 22 oz

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Answer:

i think your answer would be 12

Step-by-step explanation:

there are 12 dots, so 12 robots were built

hope this helps! have a nice day!

Answer:

625=63 to the nearest whole number

Step-by-step explanation:

= 4/100×25%

= 625

= 63 to the nearest whole number

Answer:

16

Explanation:

Reasoning:

You know that 4 students = 25% of the class,

and that ? students = 100% of the class,

So you would want to plan it out like this:

4 ----- 25%

? ----- 100%

This is how you would solve it:

            4 x 100

               25

Multiply 100 x 4 = 400

Divide  400/ 25 = 16

Hope this helped ya!

Answer:

C :3

Step-by-step explanation:

Whenever our simplification of a linear equation ends in a true statement, in this case 6=6, then our linear equation has infinitely many solutions.

Therefore, our answer is C.

even if we don’t know what x is we’ll still get an infinite amount of solutions

HOPE THIS HELPED :DDDD

Answer:

brainliest please

okay so angle O is connected to arc GU. to find angle O you musit find Arc GU

if Arc GO is 48 degrees and arc OU is 107 degrees, then you add those together.

107 +48=155

a circle has a total of 360 degrees

so 360-155= 205

205 is arc GU

205 divided by 2 will give you angle O

O is 102.5 degrees

Step-by-step explanation:

Answer:

someone answer this pls

Step-by-step explanation:

Answer:

sqrt 46

Step-by-step explanation:

irrational numbers are numbers cannot be define in a fraction. sqrt of 46 will give you infinite decimal which could not be express in a fraction form.

Answer:

The answer is 7 socks.

Step-by-step explanation:

To ensure one matching pair, you need to pull out 4 socks. If none of the first three match, the fourth one will guarantee a matching pair.

You will then need to pull out 3 more socks, for a total of 7 socks, to ensure two matching pairs.

An AABA form can be repeated to create a larger form; when b and a are repeated after the first AABA, it is called a "partial reprise". The BA or ABA sections of the AABA structure are repeated in the majority of partial reprises.

The term "reprise" is derived from the French word "repris," which means "act of taking back." The word is also derived from the Latin word "reprendre," which means "taken up again." The term is typically used in music, but it can refer to any continuation of an action.

Various uses of reprise in musics are given below-

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the value of P(A∩B) in terms of x and y is xy.

The correct option is D. xy.

To determine the value of P(A∩B) in terms of x and y, we can use the definition of conditional probability and the fact that P(A∩B) = P(A|B) * P(B).

Given that P(A|B) = x and P(B) = y, we can substitute these values into the equation:

P(A∩B) = P(A|B) * P(B)

        = x * y

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