Add −13 1/4 + 4 3/4 . Write your answer as a mixed number in simplest form.

The coordinates of point B are (-3, 17).

The given equation is M = I₁ + I₂ = 31 + 32.

Now let's substitute in our given values:

(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)

We will now set up two equations to solve for our two unknowns, x₂ and y₂:

Equation 1: (-5 + x₂) / 2 = -4

Multiply both sides by 2:

-5 + x₂ = -8

Add 5 to both sides:

x₂ = -3

This gives us the x-coordinate of point B.

Equation 2: (-5 + 2 + y₂) / 2 = 7

Simplify:

(-3 + y₂) / 2 = 7

Multiply both sides by 2:

-3 + y₂ = 14

Add 3 to both sides:

y₂ = 17

This gives us the y-coordinate of point B.

Therefore, the coordinates of point B are (-3, 17).

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Answer:

1/5x

Step-by-step explanation:

1/5x

Answer:

8748

Step-by-step explanation:

Part a

Setting \(x=6\), \(y=7.9(1.02)^6 \approx \boxed{8.9}\)

Part b

Setting \(x=14\), \(y=7.9(1.02)^{14} \approx \boxed{10.4}\)

The amplitudes of functions are a) 8 and b) 6.

Given are the functions we need to determine the amplitude of function,

a) y = 8 Sin (x/2) + 3

b) y = 6 Cos x + 2

So,

To determine the amplitude of a trigonometric function, you can follow these steps:

For a sine function of the form y = A×sin(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

For a cosine function of the form y = A×cos(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

Let's apply these steps to the given functions:

a) y = 8×sin(x/2) + 3

The coefficient of sin in this function is 8, so the amplitude is |8| = 8.

Therefore, the amplitude of function a) is 8.

b) y = 6×cos(x) + 2

The coefficient of cos in this function is 6, so the amplitude is |6| = 6.

Therefore, the amplitude of function b) is 6.

Hence the amplitudes of functions are a) 8 and b) 6.

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940 I try I hope it helps

The equation of line passes through the point (x_1,y_1) and (x_2,y_2) is,

Substitute the coordinates of the points in the equation to obtain the equation of line.

The general equation of line with slope m and y-intercept b is,

On compare the general equation with y=5x+4, it can be observed that slope is m=5 and y intercept b is 4.

So answer is m=5 and b=4.

Answer:

B

the answer for ur question is:

the answer for ur question is:B

Answer:

The Probability of both happening is 0.304.

Step-by-step explanation:

P(A) × P(B)

=  0.76 × 0.4

=  0.304

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

The distance between the points is √164

Step-by-step explanation:

the formula for the distance between two points is:

√[(x₂ - x₁)² + (y₂ - y₁)²]

We substitute the values and get:

Our final answer is √164.

Hope this helps!!

The algebraic expression -19c - 4c + 9 + 16​ when simplified is -23c + 25

From the question, we have the following parameters that can be used in our computation:

-19c-4c+9+16​

Express properly

So, we have

-19c - 4c + 9 + 16​

Evaluate the like terms

This gives

-19c - 4c + 9 + 16​ = -23c + 25

Hence, the algebraic expression when simplified is -23c + 25

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The probability that the song will be played on exactly 2 days out of 5 days is approximately 0.164.

To find the probability that a particular song is played exactly 2 days out of 5 days at radio station WMZH, we can use the binomial probability formula.

The binomial probability formula is given by P(x) = C(n, x) * p^x * (1-p)^(n-x), where P(x) is the probability of x successful outcomes, n is the number of trials, p is the probability of a successful outcome on a single trial, and C(n, x) represents the binomial coefficient, which is the number of ways to choose x items from a set of n items.

In this case, we want to find the probability of the song being played exactly 2 days out of 5 days, so x = 2, n = 5, and p = 3/8.

Using the formula, we have:

P(2) = \(C(5, 2) * (3/8)^2 * (1 - 3/8)^(^5^-^2^)\)

C(5, 2) = 5! / (2! * (5-2)!) = 10

P(2) = 10 * (3/8)^2 * (5/8)^3

P(2) ≈ 0.164 (rounded to three decimal places)

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Answer:

The probability is 0.9545

Step-by-step explanation:

To find this probability, we shall use the z-score formula

Mathematically;

z-score = (x - mean)/SD/√n

where mean = 20

SD = 5

n = 100 and so √100 = 10

So for 19, we have ;

(19-20)/5/10 = 1/0.5 = -2

For 21, we have

(21-20)/5/10 = 1/0.5 = 2

So the probability we want to calculate is

P( -2 < z < 2)

we can use the standard normal distribution table for this

Using this table;

P(-2<z<2) = 0.9545

Answer:

c. 625.91

Step-by-step explanation:

took the quiz an got 100%

The starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.

The full name of APR is the annual percentage rate. It is defined as the percentage rate applied on the borrowing money in the form of interest, but APR has applied annually.

We have:

His card has a billing cycle of 30 days and an APR of 14.75%.

Here the list data is not mentioned, clearly. Transactions with the amount.

As we know, the APR is the annual percentage rate, which is 14.75%.

Monthly percentage rate = 14.75/12 = 1.22%

But we can calculate the new balance with the formula:

Previous Balance + Finance Charge + New Purchases - (Payments + Credits) = New Balance

Thus, the starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.

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the answer is "A" or "D" but I am prettu sure its "A"

To find all points on the x-axis that are 16 units away from the point (5, -8), we can use the distance formula. The distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

In this case, the y-coordinate of the point (5, -8) is -8, which lies on the x-axis. So, any point on the x-axis will have a y-coordinate of 0. Let's substitute the given values and solve for the x-coordinate.

d = √((x - 5)² + (0 - (-8))²)

Simplifying:

d = √((x - 5)² + 64)

Now, we want the distance d to be equal to 16 units. So, we set up the equation:

16 = √((x - 5)² + 64)

Squaring both sides of the equation to eliminate the square root:

16² = (x - 5)² + 64

256 = (x - 5)² + 64

Subtracting 64 from both sides:

192 = (x - 5)²

Taking the square root of both sides

√192 = x - 5

±√192 = x - 5

x = 5 ± √192

Therefore, the two points on the x-axis that are 16 units away from the point (5, -8) are:

Point 1: (5 + √192, 0)

Point 2: (5 - √192, 0)

In summary, the points on the x-axis that are 16 units away from the point (5, -8) are (5 + √192, 0) and (5 - √192, 0).

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The total amount Debra ended up paying for the equipment was $28,541.60 and the amount of interest Debra paid on the loan was $14,041.60

(a) To find the total amount Debra ended up paying for the equipment (including the down payment and monthly payments), we need to add the down payment to the total amount of the loan, and then add the total amount of the monthly payments made over the two years.

Total amount of the loan = $14,500 - $1,300 (down payment) = $13,200

Total amount paid = Down payment + Total amount of the loan + Total amount of monthly payments

Total amount paid = $1,300 + $13,200 + ($585.04 x 24) [since there are 24 monthly payments in 2 years]

Total amount paid = $1,300 + $13,200 + $14,041.60

Total amount paid = $28,541.60

Therefore, the total amount Debra ended up paying for the equipment (including the down payment and monthly payments) was $28,541.60.

(b) To find the amount of interest paid on the loan, we need to subtract the total amount borrowed from the total amount paid, and then subtract the down payment. This will give us the total amount of interest paid over the two years.

Total interest paid = Total amount paid - Total amount borrowed - Down payment

Total interest paid = $28,541.60 - $13,200 - $1,300

Total interest paid = $14,041.60

Therefore, the amount of interest Debra paid on the loan was $14,041.60.

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The thing that happens when you finance a house over 15 years that instead of 30 years will be A. Your monthly payment will be higher.

The amount paid each month to repay the loan over the course of the loan is known as the monthly payment. When a loan is taken out, not only the principal, or the original loaned amount, but also the interest that accrues, must be repaid. The fact that the majority of borrowers only consider the monthly payment when taking out a loan hides the loan's total cost.

It should be noted that the best course of action for anyone taking out a loan is to focus on the total cost of borrowing rather than the interest rate or monthly payment.

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The expression that uses the commutative property of addition and the associative property of multiplication to rewrite the expression 3 (28) +7  is 7+(3-2).8

The commutative property of addition states that a change in the order of the numbers being added does not affect the sum. We can define commutative property of addition as adding the numbers in any order will give the same answer.

a + b = b + a

3(2x8) + 7 = 7 + 3(2x8)

The associative property of multiplication says that while multiplying three numbers, regardless of the way the numbers are grouped, the end result will always be the same.

a(b x c) = (a x b) c

7 + 3(2x8) = 7 + (3.2)8

Therefore, the expression that uses the commutative property of addition and the associative property of multiplication to rewrite the expression 3 (28) +7  is 7+(3-2).8

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The distance traveled by a particle with position (x, y) as t varies in the time interval 0 ≤ t ≤ 3π be, 6π units.

Given, a particle with position (x, y) move across a distance as t varies in the given time interval 0 ≤ t ≤ 3π

where, x = sin2t, y = cos2t

On using the length of the curve concept, we get

d = ∫√((dx/dt)² + (dy/dt)²) dt

as, x = sin2t and y = cos2t

dx/dt = 2cos2t

dy/dt = -2sin2t

On substituting the values, we get

d = ∫√(4cos²2t + 4sin²2t) dt

d = ∫2 dt

d = 2∫dt

d = 2×(3π - 0)

d = 6π

So, the distance traveled by the particle be, 6π

Hence, the distance traveled by the particle be, 6π

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Answer:

a rate

Step-by-step explanation:

Answer:

The company's overall profits were 450,000.

Step-by-step explanation:

We know that Jerome received 150,000. This 150,000 also counts as 1/3 of the profit, so if we put it as an equation, it gives us this:

1/3x = 150,000  We need to work out how much the overall profits are, which I've labelled as x.

x = 450,000  Here we multiply 150,000 by 3 to get x on its own, or you could also divide by 1/3.

I hope this makes sense to you. ^-^ If not, do let me know.

Answer:

C. Nonlinear association

Explanation:

We can see that the graph has the form of a parabola. The equations of parabolas have the form ax² + bx + c which is not a linear association. Therefore, the best description of the relationship is a nonlinear association.

Then, the answer is

C. Nonlinear association

Step 1: As we can see in the picture, we have the following coordinated pairs:

(0, 4)

(2 , -2)

Step 2: Let's find the slope, this way:

m = -2 - 4/2-0

m = -6/2

m = -3

Step 3: Finally, let's write the equation for this line, as follows:

y = mx + b

y = -3x + 4

y + 3x = 4

Now you can find the correct answer, nene!

Dilation involves adjusting the size of an object or a figure, without altering its shape.

The object can be increased or decreased depending on its scale factor.

A scale factor less than 1 results in a figure of reduced dimensions whereas, a scale factor greater than 1 results in a figure or an object of enlarged dimensions.

In the ΔABC, a dilation of 4/3, which is greater than 1, will thus result into an enlargement.

The correct option is B.

Given: U={c,d,g,n,q,r,u,y}

A={c,u,y}

Find: A'

Explanation: A' is a set of elements which not belongs to A

so those elements are : d,g,n,q,r

so A'={d,g,n,q,r}.

Answer: Let the radius of the small circular rug be x. Then the area of the small circular rug is given by:

A = πx^2

The radius of the large circular rug is 3 times the radius of the small rug, which means its radius is 3x. The area of the large circular rug is given by:

A = π(3x)^2 = 9πx^2

Therefore, the expression for the area of the small rug in terms of x is:

A = πx^2

Step-by-step explanation: