Find the area of a quarter of a
circle (radius = 6)

Answer:

2

Step-by-step explanation:

coefficient: the number multipliing the variable

variable: the letter

constant: the number

Answer:

2

Step-by-step explanation:

8 would be the coefficient

Y would be the variable

Making 2 the constant

The solution to the composite functions are as follows:

The composite functions can be solved as follows:

f(x) = x² / 2

g(x) = x + 2

Therefore,

f(g(x)) = (x + 2)² / 2

f(g(x)) = (x + 2)(x + 2) / 2

f(g(x)) = x² + 2x + 2x + 4 / 2

f(g(x)) = x² + 4x + 4 / 2

Therefore,

g(f(x)) = x² / 2 + 2

g(f(x)) = x² / 2 + 2

Therefore, the solution to the composite functions are as follows:

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The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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Answer:

3/4

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 75 and 100 is 25.

75 ÷ 25100 ÷ 25.

Reduced fraction: 34. Therefore, 75/100 simplified to lowest terms is 3/4.

Answer:

three equivalent fractions to 75/100 are 3/4 , 6/8 , & 12/16

Answer:

the fully built T-Rex skeleton display cannot fit inside the large case

Step-by-step explanation:

compare the dimensions of the skeleton to the dimensions of the case.

Given:

T-Rex skeleton dimensions:

Height = 12 ft.

Width = 6 ft.

Length = 40 ft.

Case dimensions:

Height = 5 yards

Width = 3 yards

Length = 13 yards

To compare the dimensions, we need to convert the case dimensions from yards to feet, as the T-Rex skeleton dimensions are given in feet.

1 yard = 3 feet

Case dimensions in feet:

Height = 5 yards * 3 feet/yard = 15 feet

Width = 3 yards * 3 feet/yard = 9 feet

Length = 13 yards * 3 feet/yard = 39 feet

Now we can compare the dimensions of the T-Rex skeleton and the case:

T-Rex skeleton:

Height = 12 ft.

Width = 6 ft.

Length = 40 ft.

Case:

Height = 15 ft.

Width = 9 ft.

Length = 39 ft.

Based on the dimensions, we can see that the height of the T-Rex skeleton (12 ft.) is smaller than the height of the case (15 ft.). Similarly, the width of the T-Rex skeleton (6 ft.) is smaller than the width of the case (9 ft.). However, the length of the T-Rex skeleton (40 ft.) is larger than the length of the case (39 ft.).

Therefore, the fully built T-Rex skeleton display cannot fit inside the large case because the length of the skeleton exceeds the length of the case.

The equation of the line passing through points  (0,1) and (2,2) will be y = ( 1 / 2) x + 1

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope= 2-1   /   2-0  =  1 /2

Now pick one of the points and put in for y and x use (2,2).

2= 1/2(2) +b

2=1 + b

2-1 =1-1 +b   subtract 1 from each side

1 = b   This is your y-intercept

The equation will be written as:-

y = ( 1 / 2) x + 1

Answer:X=3

Step-by-step explanation: Option B

Answer:

Answer is explained below in the explanation section.

Step-by-step explanation:

Solution:

For this question, we need to have a number line, we can not make the number line here. As it will be very long. Instead, I have attached a number line from -11 to +11 for your understanding and explained it below. Please refer to the attachment below for the number line.

Number Line:

A number line is a line which contains all the numbers from negative infinity to positive infinity divided by a single number zero. It has two sides, left hand side and right hand side. A side left to zero contains all the negative numbers and a side right to 0 contains, all the positive numbers.

So,

We are asked to add 34 in (-212), we will get 178 but with the negative sign, and it will lie on the left hand side of the number line.

SO,

34 + (-212) = 34 - 212 = -178

Hence,

Our sum which is 178 will lie on the left hand side of the number line.

Answer:

x₁  =  400    x₂  =   1000

z(max)  =  380 $

Step-by-step explanation:

Production:

                                      Flour      yeast     Almond paste      Profit $

Bear claws B  (x₁)            6 ou       1 ou            2 TS                   0.2

Almond-filled ( x₂)          3 ou       1  ou           4 TS                   0.3

Availability                    6600      1400           4800

The Model:

z  =   0.2*x₁   +  0.3*x₂       to maximize

Subject to

1.-Quantity of flour   6600 ou

6*x₁  +  3*x₂   ≤  6600

2.-Quantity of yeast  1400 ou

1*x₁   +   1*x₂   ≤  1400

3.-Quantity of Almond paste   4800 TS

2*x₁   +  4*x₂   ≤  4800

General constraints:

x₁ ≤  0    x₂  ≤ 0   both integers

After 6 iterations using an on-line solver. Optimal solution is:

x₁  =  400    x₂  =   1000

z(max)  =  380 $

Answer: B

Steps: $208.08

PLz mark brainliest:)

Answer:

we reject H₀

We have enough evidence to claim that people in the sample are significantly  more satisfied than others in general population at 95 % of CI

Step-by-step explanation:

Population mean    μ₀  = 20

Sample data   18  23  24 44  19 27 23 26 25

Then:

Sample mean      μ   =  25,44

Sample standard deviation     s = 7,14

Sample size     n  =  9

Hypoyhesis test:

Null hypothesis                                H₀              μ   =   μ₀

Alternative hypothesis                   Hₐ               μ   >   μ₀

Significance level    α  = 0,05    CI = 95 %

We must develop a  t-student one-tail test  ( to the right ) as follows

t(c)  =  ??

degree of freedom    df = n - 1         df =  8      and    α = 0,05

Then from t-student table    t(c)  =  1, 8595

To calculate   t(s)  =  (  μ  -  μ₀  ) / s/√n

t(s)  =  ( 25,44  -  20 ) * √9 / 7,14

t(s)  = 5,44*3 / 7,14

t(s)  = 2,29

Comparing   t(c) and  t(s)

t(s)  >  t(c)

Then t(s) is in the rejection region   we reject H₀

We have enough evidence to claim that people in the sample are significantly  more satisfied than others in general population at 95 % of CI

Saving for a down payment was worth it for Isabel. It reduces the total amount paid for the car by lowering the loan amount, resulting in less interest paid over time.

When evaluating whether saving for a down payment on a car was worth it for Isabel, we need to consider the difference in the total amount paid for the car in two scenarios: with a down payment and without a down payment. Let's analyze the two scenarios to make a judgment.

Scenario 1: With a down payment

In this scenario, Isabel saved up and made a down payment on the car. As a result, her monthly loan payment fits within her budget. By making a down payment, she reduces the principal amount borrowed and, subsequently, the interest charged on the loan.

The benefits of saving for a down payment include:

Lower loan amount: By making a down payment, Isabel reduces the total amount borrowed from the lender.

Reduced interest: With a lower loan amount, the interest charged on the loan is also reduced.

Shorter loan term: A down payment can help Isabel secure a shorter loan term, reducing the overall interest paid over time.

Scenario 2: Without a down payment

In this scenario, Isabel does not make a down payment and finances the entire purchase price of the car. As a result, her monthly loan payment may be higher, as she is borrowing a larger sum and potentially paying more interest over the loan term.

The drawbacks of not saving for a down payment include:

Higher loan amount: Without a down payment, the entire purchase price is financed, leading to a higher loan amount.

Increased interest: With a higher loan amount, more interest may accumulate over the loan term, resulting in a higher total cost of the car.

By comparing the two scenarios, we can assess the impact on the total amount paid for the car. Generally, having a down payment reduces the loan amount, decreases interest charges, and may result in a shorter loan term. This, in turn, can lead to substantial savings in the long run.

To determine the exact difference in the total amount paid for the car in each scenario, we would need specific details such as the purchase price of the car, the interest rate, and the loan term. With these figures, we could calculate the total cost of the car, including interest, in both scenarios and compare the results. Based on this analysis, we can then determine if saving for a down payment was worth it for Isabel.

In conclusion, saving for a down payment on a car can offer financial benefits such as lower loan amounts, reduced interest charges, and potentially shorter loan terms. Considering the potential cost savings and improved financial stability, it is generally advisable for Isabel to save for a down payment, making it worth the effort and consideration.

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Question

The down payment makes the monthly loan payment fit into Isabel's budget. Besides this benefit, do you think saving for a down payment on the car was worth it for Isabel? Use each monthly payment with and without a down payment) to find the difference of the total amount paid for the car in each scenario to justify your answer.

The probability that it will not rain tomorrow is 56%, and the geometric models that represent the probability that it will rain tomorrow are:

Probabilities are used to determine the chances of events

The given probability is:

\(p= 44\%\) -- the probability that it will rain tomorrow

The probability that it will not rain tomorrow is calculated using the following complement rule

\(q= 1 -p\)

This gives

\(q= 1 -44\%\)

\(q= 56\%\)

This means that:

The probability that it will not rain tomorrow is 56%

Also, options (c) and (e) represent the geometric models that it will rain tomorrow

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Answer:

b is 42

hope that helpssss

Note that if the roots of a quadratic function given as x = a and x = b,

the quadratic expression is (x - a)(x - b)

From the problem, the roots are x = -8 and x = 4

therefore the quadratic expression will be :

The answer is B.

The solution of the system of equations is the point of intersection (4, 2), as shown in the graph below.

Caroline bought 4 soda bottles.

Caroline bought 2 juice bottles.

In order to determine the solution to this problem, use the information given to create two equations.

Number of soda bottle = x.

Number of juice bottle = y.

First Equation for the total number of bottle that Kelvin bought

x + y = 6 --> eqn. 1

Second Equation 2 for the total sugar in the soda bottles and total sugar in juice bottles that equals 150 grams of sugar.

30x + 15y = 150

Simplify by dividing by 5

6x + 3y = 30 --> eqn. 2

Rewrite eqn. 1:

y = 6 - x

Solve simultaneously for the variables of x and y, by substituting the value of y into equation 2:

6x + 3(6 - x) = 30

6x + 18 - 3x = 30

3x + 18 = 30

3x = 30 - 18

3x = 12

3x/3 = 12/3

x = 4

Caroline bought 4 soda bottles.

Substitute x = 4 into equation 1 to find the value of y:

x + y = 6

4 + y = 6

y = 6 - 4

y = 2

Caroline bought 2 juice bottles.

The graph below shows the point of intersection, (4, 2), which is the solution.

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Lets call A the number of adults and S the number of students in the game.

As 200 tickets were sold, and this is the sum of students and adults, we can write:

As the amount collected ($495) is the sum of the tickets purchased by adults and the tickets purchased by students, and the tickets purchased are equal to the price multiplied by the number of tickets, we cann write:

With the information for the first equation, we can replace in the second equation and solve:

Then, solving the first equation, we get;

There were sold 70 student tickets and 130 adult tickets.

Answer:

-------------------------------

\(35000 \times \frac{15}{100} = 350 \times 15 = 5250\)

Answer:

6.5sin(.04x+.4pi)-8

The function intersects its midline at (-pi,-8) and has a maximum point at (pi/4, "-1.5). The  final equation is h(x) = 4 sin(2x +  π /2) + 3.

A function is defined as a relation between the set of inputs having exactly one output each.

The function intersects its midline at (3π/4, 3) then the midline is d= 3.

The amplitude is just the positive distance between the maximum/minimum and the midline,

so the amplitude a = 7 - 3 = 4

Also, given that period is 2π/b and the fact that the period is π from our given maximum,

we have the equation 2π/b= π where b = 2

we know that the phase shift, -c/b is - π/4 (or  to the left)

since -π /4. Therefore, c = π /2.

our final equation is

h(x) = 4 sin(2x +  π /2) + 3.

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Answer:

(-11/2; -4)

Step-by-step explanation:

The point that lies on the line is symmetry is the middle point of the segment

M(x) = (-8-3)/2 = -11/2

M(y) = -4

Answer:

(-11/2; -4)

Step-by-step explanation: The point that lies on the line is symmetry is the middle point of the segment

M(x) = (-8-3)/2 = -11/2

M(y) = -4

Answer:

A. 100%

Step-by-step explanation:

Business owners will recieve 100% of their profits, because they paid for them. The recommended profits are 50% because they need to pay employees as well.

Answer:

10³

Step-by-step explanation:

10 x 100 = 10¹ x 10² = 10³

Answer: 10³

Step-by-step explanation: 10³

Answer:

The actual answer is 7 units.

Step-by-step explanation:

Distance between two bodies=

root under[(x2-x1)^2+(y2-y1)^2]

=root under[(-3-4)^2+(5-5)^2]

= root under (49)

=7 units.

Answer:

\(\boxed{Tan B = 1.33}\)

Step-by-step explanation:

Tan B  = \(\frac{opposite }{adjacent}\)

Tan B = \(\frac{12}{9}\)

Tan B = 1.33 (Upto 2 dps)

The radius of the sphere that has a volume of 33.51032164 cubic meters is approximately 2 meters.

The radius of a sphere is the distance from the center of the sphere to any point around the circumference. The radius is half of the length of the diameter of a sphere.

The volume of  a sphere = 4/3 * π * r³

Given that:

Volume ≈ 33.5 cubic meters

Use the formula to find the radius of the sphere:

33.5 = 4/3 * π * r³

33.5 = 4π/3 * r³

3 * 33.5 = 4π * r³

100.5/4π = r³

r³ = 7.998

r = ∛7.998

r ≈ 2 meters.

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(A) only 2 is the line of symmetry of the given figure.

A form or item is divided into two equal and symmetrical portions by a line of symmetry.

Because it divides the figure symmetrically and the separated portions resemble mirror images of one another, we also refer to this line as the axis of symmetry or the mirror line.

The four lines of symmetry in a square are lines across the opposing vertices and the midpoints of the opposing sides.

Together, these four lines of symmetry make up a square.

Consequently, a square has two diagonal, one horizontal, and one vertical line of symmetry.

So, according to the given figure we can easily observe and tell that line 2 is the only one that divides the diagram into 2 identical parts.

Therefore, (A) only 2 is the line of symmetry of the given figure.

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Answer:

y=30004.4

1+0.23*2=1.46

43807.00