graph the function f(x)= cos (πx/2)

Answer:

You Need To add a picture

Step-by-step explanation:

But if the decimal is before a number and has a line then its repeating if not its nonrepeating

Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

Answer:

the population ia 4,375 people per square mile

Step-by-step explanation:

Answer:

D, g(x) = 1/4 x^2

Step-by-step explanation:

You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.

Stacy's monthly payment for the couch would be $46.83 if she repaid the loan in 2 years.

What is a  interest?

Interest amount refers to the additional money that a borrower is required to pay back to a lender on top of the principal amount borrowed. Interest is the cost of borrowing money and is typically calculated as a percentage of the principal amount borrowed, known as the interest rate.

For example, if you borrow $1,000 at an interest rate of 5%, the interest amount would be $50 (5% of $1,000). Therefore, you would have to pay back a total of $1,050, which includes the principal amount of $1,000 and the interest amount of $50. The interest amount can vary depending on factors such as the interest rate, the amount borrowed, and the length of time the loan is outstanding.

To find Stacy's monthly payment, we need to first determine the total amount she will repay over the course of the 2-year loan term. This amount will include the original cost of the couch plus the interest she agreed to pay.

The total amount she will repay can be calculated by adding the cost of the couch and the interest together:

Total amount repaid = Cost of couch + Interest

Total amount repaid = $870 + $254

Total amount repaid = $1124

Now that we know the total amount that Stacy will repay, we can determine her monthly payment by dividing this amount by the number of months in the loan term (2 years or 24 months).

Monthly payment = Total amount repaid / Number of months in loan term

Monthly payment = $1124 / 24

Monthly payment = $46.83 (rounded to the nearest cent)

Therefore, Stacy's monthly payment for the couch would be $46.83 if she repaid the loan in 2 years.

It's important to note that this calculation assumes that the interest is simple interest, which means that the interest is only charged on the original amount of the loan and does not accrue on any additional interest charges. If the interest is compound interest, the calculation would be more complex and may result in a higher monthly payment.

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Answer:

Step-by-step explanation:

-1760 is the answer 83 times 83 minus 93 times 93 is -1760

Answer:  C   (-2, 2), (1, -1), (3, 1). (2,4)

It will help to rotate the image so the x-axis is horizintal and the y-axis is vertical.

Step-by-step explanation:

Imagine the prefigure twirling on a parallel bar like a gymnast.

When it's up-side down the point that was at  (1,1) flips to (1. -1) and the point that was at  (3 -1) flips to (3, 1)

As you chech your choices, that knocks out most of the other possibilities.

But you should still verify the other cocorinates.

Hint: if the reflection is across the x-axis, the x values will be the same in the pre-image and the reflection, the y- values will change accorfing to their distance from the x-axis.

Answer:

-42

Step-by-step explanation:

You have to To subtract the fractions, then find the Least common denominator (LCD) and then combine.

pls brainliest Hope this helps have a nice day :>

\(\boldsymbol{(-1-3^{2})-\dfrac{4^{3} }{2} }\)

Calculates 3 to the power of 2 and gets 9.

\(\boldsymbol{-1-9-\dfrac{4^{3} }{2} }\)

Subtract 9 from −1 to get −10.

\(\boldsymbol{-10-\dfrac{4^{3} }{2} }\)

Calculates 4 to the power of 3 and gets 64.

\(\boldsymbol{-10-\dfrac{64}{2} }\)

Divide 64 by 2 to get 32.

\(\bf{-10-32 }\)

Subtract 32 from −10 to get −42.

\(\bf{-42 \ \ \to \ \ \ Answer}\)

Answer:

the answer is 63 degrees

Step-by-step explanation:

The measure of the length EF of the triangle is; 21

We are given the the triangle BCD and we are told that;

E is the midpoint of BD.

F is the midpoint of CD

Now, since we have those midpoints, it means that by the concept of similar triangles, that;

DF/DC = EF/BC

Since F is the midpoint of DC, then it means that;

2DF = DC

We are given;

EF = 43 - 4x, and BC = 32 - 2x

Thus, we now have;

DF/(2DF) = (43 - 4x)/(32 - 2x)

1/2 = (43 - 4x)/(32 - 2x)

Cross multiply to get;

32 - 2x = 43 - 4x

4x - 2x = 43 - 32

2x = 11

x = 11/2

x = 5.5

Thus;

EF = 43 - 4(5.5)

EF = 43 - 22

EF = 21

Thus, we conclude that the side length EF is 21.

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Answer:

1). \(\frac{2}{x^{2}-x-12 }=\frac{2}{(x+3)(x-4)}\)

2). \(\frac{1}{x^{2}-16 }=\frac{1}{(x-4)(x+4)}\)

Step-by-step explanation:

In this question we have to write the fractions in the factored form.

Rational expressions are \(\frac{2}{x^{2}-x-12 }\) and \(\frac{1}{x^{2}-16 }\).

1). \(\frac{2}{x^{2}-x-12 }\)

Factored form of the denominator (x² - x - 12) = x² - 4x + 3x - 12

                                                                           = x(x - 4) + 3(x - 4)

                                                                           = (x + 3)(x - 4)

Therefore. \(\frac{2}{x^{2}-x-12 }=\frac{2}{(x+3)(x-4)}\)

2). \(\frac{1}{x^{2}-16 }\)

Factored form of the denominator (x² - 16) = (x - 4)(x + 4)

[Since (a²- b²) = (a - b)(a + b)]

Therefore, \(\frac{1}{x^{2}-16 }=\frac{1}{(x-4)(x+4)}\)

Answer:

in explanation

Step-by-step explanation:

angle rules say that those angles respond to each other meaning

they will equal each other

so 6x-4=4x+14

now solve for x

x=9

the top angle will be

6(9)-4=50

bottom angle will be 50

4(9)+14=50

There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.

To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.

Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.

Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.

To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.

Therefore, there will be 12 slices of pizza left over.

To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.

If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.

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All below;

Green question mark = 10

50 (longer opposite side) - 40 = 10

Red question mark = 20

30 (longer opposite side) - 10 = 20

Perimeter = 160

30 + 50 + 10 + 40 + 20 + 10 = 160

Area = 700

30 * 50 = 1500; (Total area if it were fully a rectangle)

40 * 20 = 800; (Chunk of rectangle that is missing)

1500 - 800 = 700 (Total area - missing space)

Green question mark = 14

Opposite of the other side

Red question mark = 20

35 (longer opposite side) - 15 = 20

Perimeter = 152

35 + 22 + 20 + 14 + 10 + 14 + 15 + 22 = 152

Area = 630

35 * 22 = 770; (Total area if it were fully a rectangle)

14 * 10 = 140; (Chunk of rectangle that is missing)

770 - 140 = 630 (Total area - missing space)

Answer:

ANSWER: 8TT units

Step-by-step explanation:

hope it helps thanks❤

The area of the shaded sector RST is 8π unit²

Area is the amount of space occupied by a two dimensional shape or object.

The area of a circle is given by:

A = π(radius)²

The circle has radius of 4 unit and angle of π radians. Hence:

Area of sector RST = (angle/2) * radius²

Area of sector RST = (π/2) * 4² = 8π unit²

The area of the shaded sector RST is 8π unit²

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The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

The correct answer is D.

The function f(x) has some specific characteristics as shown in the graph.

The graph of f(x) has five intercepts, as can be seen from the graph.

The intercepts of f(x) can be determined by observing where the graph of f(x) crosses the x-axis.

The function f(x) intercepts the x-axis at five different points: -6 only, -2, -1, 1, and 3 only.

At these points, f(x) = 0.
Furthermore, the graph of f(x) is increasing from -∞ to -6, then decreasing from -6 to -2.

The graph of f(x) then increases from -2 to -1, decreases from -1 to 1, increases from 1 to 3, and finally decreases from 3 to +∞.

Hence, we can deduce that the graph of f(x) has a local maximum point at x = -6, a local minimum point at x = -2, and another local minimum point at x = 3.
We can also conclude that f(x) is an odd function, meaning that f(-x) = -f(x).

This can be deduced from the symmetry of the graph about the origin.

Finally, we can see from the graph that the function f(x) is continuous everywhere except at x = -2 and x = 3.

At these points, f(x) is not defined.
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

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Both the domain and range of the transformed function are the same as those of the parent function.

What are Range and Domain?

The collection of all potential output values that a function can generate given its domain is known as its range.

The set of all potential input values for which a function is specified is referred to as its domain.

The function that results from translating the left 5 units and reflecting the function f(x) = |x| across the y-axis is g(x) = |-x + 5|.

Since any real number's absolute value is always non-negative, the original function's domain is all real numbers, or f(x) = |x|.

A function's domain remains unaffected when it is reflected across the y-axis. Since all real numbers fall within the domain of the modified function g(x) = |-x + 5|, this is also true.

Since each real number's absolute value is always non-negative, the original function's range is also all non-negative real numbers, f(x) = |x|.

A function's sign is reversed when it is reflected across the y-axis. Since all non-negative real numbers fall within this range, the transformed function g(x) = |-x + 5| also has this range as well

So, the correct statement about the domain and range of each function is: Both the domain and range of the transformed function are the same as those of the parent function.

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Answer:

5.54 in tax

Step-by-step explanation:

63 x .088=5.54

Answer:

So the functions that are given are the following:

\(h(x)=350\\s(x)=(1.04)^{x-1}\)

So in order to find the money in his account, there would have to be a substitution for (x=$350) in the first function, and a place in the second function.

Answer: 6.08.

Explanation: 32% × 19 = 6.08.

Answer:

1/5 or 6/30

Step-by-step explanation:

Answer:

6/30 or six thirtieths

Step-by-step explanation:

2 x 3 = 6

6 x 5 = 30

so 6 is over 30 and we get the final answer of 6/30

Hope This Helped! :)

Answer:

3x-2=10

5x+6=-4

Step-by-step explanation:

hope it helpef

Answer:

substitution

Step-by-step explanation:

a)3(4)-2

12-2=10

b)5(-2)+6

-10+6= -4

Answer:

circumference=2πr

its yr correct ans.

hope it helps

Answer:

Option 4:  37.68 m

Step-by-step explanation:

The formula for finding this equation is C = 2πr

So to find our answer we will first multiply 2 by 3.14 and we get 6.28.  Now multiply 6.28 by 6 and we get 37.68.  Therefore, 37.68 is our answer.

3) The equation of the linear model would be y = 7.5x+60.

4) If Adam studies for 6 hours then his score would be 88.

What is the Linear equation?

An algebraic equation with only a constant and a first-order (linear) term is said to be linear if it has the formula y = mx + b, where m is the slope and b is the y-intercept. The above is occasionally referred to as a "linear equation with two variables," where y and x are the variables.

y = mx + c

where m denotes the slope.

The y-intercept is represented by the constant c. (Where x is zero)

In our instance, y-intercept equals 60.

The line's equation will therefore be:

y = mx + 60

y = mx + 60

There are given the line's coordinates (4, 90). These considerations will thus satisfy the equation.

90 = 4*m + 60

4.m = 30 m = 7.5 m = 7.5 y = 7.5x + 60 y = 7.5 * 6 + 60 y = 45 + 60 y = 105 is

y = 7.5x + 60.

If Adam's study for 6 hours then his score would be

y = 7.5x + 60.

y = 7.5(6) + 60

y = 105

Hence,

3) The equation of the linear model would be y = 7.5x+60.

4) If Adam studies for 6 hours then his score would be 88.

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There are total 15 students per teacher and 8 students per tutor. For 100 students, total 13 tutors are required.

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the given data provided in the question,

4 teachers  = 60 students

For 1 teacher = 60/4 = 15 students

Similarly,

6 tutors = 48 students

For 1 tutor = 48/6 = 8 students.

For total 100 students, total number of tutors = 100/8

= 12.5 or 13 tutors are required.

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Answer:

The correct answer is C. 160 minutes.

Step-by-step explanation:

Since Tammy has begun an exercise program, and she worked out five days the first week for 28 minutes, 32 minutes, 21 minutes, 38 minutes and 42 minutes, to find an estimate of the total number of minutes Tammy exercised during the week, rounding each figure to the nearest tenth, the following calculation must be performed:

28 + 32 + 21 + 38 + 42 = X

30 + 30 + 20 + 40 + 40 = X

160 = X

Thus, the estimated time of exercise that Tammy performed was 160 minutes.

Answer:

33 people

Step-by-step explanation:

7x = 4x + 9

3x=9

x=3

7(3) = 21

4(3) = 12

33 people

The amount invested is the principal, P

P = $3500

Rate, R = 5%

Time, T = 1 year

The formula for Simple Interest is given as:

The 5% Interest on $3500 = $175

The total interest = $553

Interest at 7% rate = $553 - $175

Interest at 7% rate = $378

The amount that will be invested at 7% interest rate will then be calculated using the formula

You will need to invest $5400 at 7% simple interest

Answer:

You will have earned $113 in interest.

Step-by-step explanation:

After investing for 4 years at 3% interest, your initial investment of $900 will have grown to $1,013.

To find the amount you need to invest, we can use the formula for simple interest:

\(\displaystyle\sf \text{{Interest}} = \text{{Principal}} \times \text{{Rate}} \times \text{{Time}}\)

Here, the principal is the amount you need to invest, the rate is 3% (or 0.03 as a decimal), and the time is 4 years. We can rearrange the formula to solve for the principal:

\(\displaystyle\sf \text{{Principal}} = \frac{{\text{{Interest}}}}{{\text{{Rate}} \times \text{{Time}}}}\)

Plugging in the given values, we get:

\(\displaystyle\sf \text{{Principal}} = \frac{{900}}{{0.03 \times 4}}\)

Simplifying further:

\(\displaystyle\sf \text{{Principal}} = \frac{{900}}{{0.12}}\)

Calculating the division:

\(\displaystyle\sf \text{{Principal}} = 7500\)

Therefore, you will need to invest $7500 at 3% to have earned $900 in interest in 4 years.