Point A' is the image of point A under a rotation about the origin (0,0) 2 Determine the angle of rotation 0 270 degrees clockwise 180 degrees O 90 degrees counterclockwise o 90 degrees clockwise 0 270 degrees counterclockwise

We need 3 cups of spinach for each 1/2 cup of pecans.

Then we have:

Answer: It will be needed 1/3 cup of pecans

Answer

3

Step-by-step explanation:

(4-1)^2+(8-8)^2=9

square root of 9 is 3

The value of the stock at 10 percent is given as 88 dollars

The value of a stock can be estimated using the Gordon Growth Model, which takes into account the company's future growth rate, recent dividends, and the required return of the investor. The formula for the Gordon Growth Model is:

Stock Price = Dividend / (Required Return - Growth Rate)

Plugging in the given values, we have:

Stock Price = 1.76 / (0.10 - 0.08)

Stock Price = 1.76 / 0.02

Stock Price = 88

Therefore, the estimated value of the Safeco stock is $88 when the required return is 10%. This estimate assumes that the company's future growth rate and dividends will remain constant at 8% and 1.76, respectively.

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The exact expression for g(x) is 2.25cos((2π/4.5)×(x-3.5)) - 4.

A function can be represented using a formula or an equation, and it can be graphed on a coordinate plane. The input values are typically represented on the x-axis and the output values on the y-axis.

From the given information, we know that the function g(x) has a maximum point at (3.5, -4) and a minimum point at (-1, -5).

The general form of a cosine function is f(x) = A×cos(Bx + C) + D, where A is the amplitude, B is the period, C is the phase shift, and D is the vertical shift.

Since the function has a maximum point at (3.5, -4), we know that the graph has been shifted to the left by 3.5 units. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) + D.

Similarly, since the function has a minimum point at (-1, -5), we know that the graph has been shifted upwards by 1 unit. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) - 4.

To determine A and B, we can use the fact that the period of the function is 4.5 units (the distance between the maximum and minimum points). Therefore, we have B = 2*pi/4.5.

To determine A, we can use the fact that the amplitude is half the distance between the maximum and minimum points, which is 0.5*(5-(-4)) = 4.5. Therefore, we have A = 4.5/2 = 2.25.

Substituting these values into the equation for g(x), we have:

g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4

Therefore, the exact expression for g(x) is:

g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4.

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There are different kinds of shapes. The shapes have been sorted below:

The term shape is a word that connote the form or dimensions  of an object and also their outline.

It is made up of outer boundary and also outer surface. Most of everything in the world today do have shape.

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Answer:

rectangle

Step-by-step explanation:

trust

Answer:

2878

Step-by-step explanation:

Let "abcd" represent the digits of the number.

a ≠ 0

"The sum of the digits is 25"

a+b+c+d = 25

"The smallest digit is in the largest place"

a < b, c, d

"The largest digit is used twice but not side by side"

The digits of the number are "abcb"

b > a, c

"The smallest digit is ¼ as large as the largest digit"

a = b/4

b = 4 or 8

If b = 4, then a = 1 and c = 25 - a - 2b = 16, which is not a single digit.  ∴ b ≠ 4

b = 8

a = b/4 = 2

2+8+c+8 = 25

c = 7

The number is 2878.

Answer:

not far enough

Step-by-step explanation:

not enough info to answer question. sorry!

Answer:

The perimeter is 68 cm.

Step-by-step explanation:

Two sides of 22cm = 44cm

Two sides of 12 cm = 24 cm

44cm + 24cm = 68cm.

The area of a right triangle is 70 yds².

We have,

Base= 17 yards

Height = 8 yards

The area of a triangle is given by the formula:

Area = (1/2) x base x height

Substituting the given values, we get:

Area = (1/2) x 17 x 8

Area = 68 square yards

Therefore, the area of a right triangle is 70 yds².

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Answer:

Step-by-step explanation:

This problem could keep you going for quite a while. My suggestion is that you go get a cup of coffee and sip it slowly as you read this.

Equation One

Sqrt(x - 1)^3 = 8

(x - 1)^(3/2) = 8

Square both sides to get rid of the 2.

(x - 1)^3 = 8^2  

(x - 1)^3 = 64

Now take the cube root of both sides to get rid of the 3 on the left

x - 1 = cuberoot(64)

x - 1 = 4                     Add 1 to both sides

x - 1+1 = 4 + 1

x  =  5

==============================

Second Equation

4th root (x - 3)^5 = 32

Take the 5th root of both sides.

4th root(x - 3) = 2

This can be written as (x - 3)^(1/4) = 2

Now take the 4th power of both sides.

(x - 3) = 2^4

x - 3 =  16

add 3 to both sides.

x = 16 + 3

x = 19

============================

Equation 3

(x - 4)^(3/2) = 125

Take the cube root of both sides

(x - 4)^(1/2) = 125^(1/3)     1/3 is the cube root of something

(x - 4)^(1/2) = 5    

square both sides to get rid of the 2    

(x - 4) = 5^2

x - 4 = 25

Add 4 to both sides.

x = 25 + 4

x = 29

============================

Fourth Equation

(x + 2)^(4/3) = 16        

take the 4th root of both sides

(x + 2) ^(1/3) = 16^(1/4)

(x + 2)^(1/3) = 2

Cube both sides

(x + 2) = 2^3

x + 2 = 8  

Subtract 2 from both sides

x + 2 - 2 = 8-2

x = 6

##########################

The first step is the most critical. You must look at what you are going to take the root of. When you do, for this question, it must come out even.

Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

To determine the number of months it takes to pay off the credit card and the total amount paid, including interest, we can follow these steps:

Step 1: Calculate the monthly interest rate.

The APR (Annual Percentage Rate) is given as 9.5%. To find the monthly interest rate, we divide this by 12 (the number of months in a year):

Monthly interest rate = 9.5% / 12 = 0.0079167

Step 2: Determine the monthly payment.

The monthly payment is given as $400.

Step 3: Calculate the interest and principal paid each month.

The interest paid each month can be calculated by multiplying the monthly interest rate by the current balance.

Principal paid = Monthly payment - Interest paid

Step 4: Track the remaining balance each month.

Starting with the initial balance of $1,367.90, subtract the principal paid each month to determine the new balance.

Step 5: Repeat Steps 3 and 4 until the balance reaches zero.

Continue calculating the interest and principal paid each month, updating the balance, until the remaining balance becomes zero.

Step 6: Determine the total number of months and the total amount paid.

Count the number of months it takes to reach a balance of zero. Multiply the number of months by the monthly payment ($400) to find the total amount paid.

Let's calculate the number of months and the total amount paid, including interest:

Month 1:

Interest paid = 0.0079167 * $1,367.90 = $10.84

Principal paid = $400 - $10.84 = $389.16

New balance = $1,367.90 - $389.16 = $978.74

Month 2:

Interest paid = 0.0079167 * $978.74 = $7.75

Principal paid = $400 - $7.75 = $392.25

New balance = $978.74 - $392.25 = $586.49

Month 3:

Interest paid = 0.0079167 * $586.49 = $4.64

Principal paid = $400 - $4.64 = $395.36

New balance = $586.49 - $395.36 = $191.13

Month 4:

Interest paid = 0.0079167 * $191.13 = $1.51

Principal paid = $400 - $1.51 = $398.49

New balance = $191.13 - $398.49 = -$207.36 (Paid off)

It takes 4 months to pay off the credit card. Now, let's calculate the total amount paid, including interest:

Total amount paid = 4 * $400 = $1600

Therefore, it takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

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Answer:

2.35

Step-by-step explanation:

bruh

Answer:

2.35 is larger.

Step-by-step explanation:

Plug in a zero at the end of 2.35 and you'll be able to see that it's is bigger than 2.346.

Answer:

30+ deg -10 =20+deg

so answer is see mark brainliest plz

Answer: 7/24

Step-by-step explanation:

11/8 - 5/8=

= 11/8 - 5/8

= 11/12 + -5/8

= 22/24 + -15/24

= 22 + -15//24

= 7/24

decimal form = 0.291667.

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

The area of sector and perimeter of the sector are 29.04 cm² and 21.12 cm respectively.

The area of the shaded region is 53.81π cm².

The exact area of the shaded region is 3π - 4 - 2√2 cm².

To find the area and perimeter of a sector, we use the formulas:

Area of sector = (θ/2) * r²

Perimeter of sector = r + r + θ * r

Using these formulas, we can find the area and perimeter of the sector with r=4cm and θ=4.53 radians:

Area of sector = (4.53/2) * 4²

Area of sector  = 29.04 cm²

Perimeter of sector = 4 + 4 + 4.53 * 4

Perimeter of sector = 21.12 cm

To find the area of the shaded region in the sector with r = 12 cm and θ = 1.5 radians, we need to subtract the area of the triangle from the area of the sector.

The angle of the triangle is:

180° - (θ * 180°/π) = 180° - (1.5 * 180°/π)

The angle of the triangle = 68.66°

The radius of the sector is r=12cm, and the central angle is θ=1.5 radians. The area of the sector = (θ/2) * r^2 = (1.5/2) * 12^2 * π

The area of the sector = 81π cm^2

To find the height of the triangle, we can use the sine function:

sin(68.66°) = h / 12

h = 12 * sin(68.66°) = 11.03 cm (rounded to two decimal places)

The base of the triangle is the chord of the sector, which has length:

2 * r * sin(θ/2) = 2 * 12 * sin(1.5/2)

length = 10.28 cm (rounded to two decimal places)

The area of the triangle = (1/2) * base * height = (1/2) * 10.28 * 11.03

The area of the triangle = 56.66 cm²

The area of the shaded region is:

Area of sector - Area of triangle = 81π - 56.66

The area of the shaded region = 53.81π cm²

To find the exact area of the shaded region in the circle with centre O and radius OA=2√2, we first need to find the radius OB. We can use the cosine rule to find the length of OB:

OB^2 = OA^2 + AB^2 - 2 * OA * AB * cos(BOA)

OB^2 = (2√2)^2 + 2^2 - 2 * 2√2 * 2 * cos(135°)

OB^2 = 8 + 4√2

So the radius OB is √(8 + 4√2).

The angle of the sector OAB is:

135° * π/180° = 3π/4 radians

The area of the sector OAB is:

(3π/4) * (2√2)^2 / 2 = 3π cm^2

The area of triangle OAB = (1/2) * OA * OB * sin(OAB) = (1/2) * 2√2 * √(8 + 4√2) * sin(135°)

The area of triangle OAB = (4 + 2√2) cm²

The area of the shaded region = Area of sector OAB - Area of triangle OAB

The area of the shaded region = 3π - (4 + 2√2)

Area of the shaded region = 3π - 4 - 2√2 cm^2

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Step-by-step explanation:

directly proportional means

y = kx

with k being a constant factor for all values of x.

we get k by using the given data point (10, 15).

15 = k×10

k = 15/10 = 1.5

so, now for the other tree we know k and x and calculate y

y = 1.5×14.4 = 21.6 m

it is 21.6 m tall (its height is 21.6 m).

A sampling method is simple random sampling.

In statistical analysis, sampling is the procedure by which researchers choose a specific number of observations from a larger population. The sample strategy will depend on the sort of study being done, although it may involve systematic sampling or just plain random sampling.

A selection of participants from a population are chosen at random by the researcher using simple random sampling, a sort of probability sampling. Every person in the population has the same probability of getting chosen. Then, data are gathered from as much of this randomly selected subgroup as feasible.

Since it only uses one random pick and is very simple, this method is the easiest of all the probability sampling techniques.

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Answer:

m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Step-by-step explanation:

2m³ - 5m² - 7m = 0 ← factor out common factor m from each term

m(2m² - 5m - 7) = 0

factorise the quadratic 2m² - 5m - 7

consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term

product = 2 × - 7 = - 14 and sum = - 5

the factors are + 2 and - 7

use these factors to split the m- term

2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )

2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term

(m + 1)(2m - 7)

then

2m³ - 5m² - 7m = 0

m(m + 1)(2m - 7) = 0 ← in factored form

equate each factor to zero and solve for m

m = 0

m + 1 = 0 ( subtract 1 from both sides )

m = - 1

2m - 7 = 0 ( add 7 to both sides )

2m = 7 ( divide both sides by 2 )

m = \(\frac{7}{2}\)

solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Answer: 14,605 pieces.

Step-by-step explanation:

In the second quarter, the company produced 795 pieces more than in the first quarter.

So, the total pieces produced in the second quarter can be calculated as:

6905 + 795 = 7700

The total pieces produced in the first semester (two quarters) can be calculated as:

6905 + 7700 = 14,605

Therefore, the company produced 14,605 pieces in the first semester.

The number of pieces the company produced in the first semester was 14,605 pieces.

The question asks to calculate how many pieces a company produced in the first semester, considering the production of two quarters.

In the first quarter, the company produced 6,905 pieces, as indicated in the question.

Already in the second quarter, the company produced 795 more pieces than in the first quarter, which means that the production in the second quarter was:

6,905 + 795 = 7,700 pieces.

To know the company's total production in the first semester, just add the productions of the two quarters:

6,905 + 7,700 = 14,605 pieces

Answer:

A. (345 + 23) ÷ 2

Step-by-step explanation:

First we have to add 345 and 23 which gives you 368 Then divided by 2 which is 184 Cause it say half as large as the expression 345+23.

Then We have to find the answer to the answer choice

(345 + 23) ÷ 2 = 184

(2 x 345) + 23 = 713

(2 x 345) + 23 = 0.0054347826

Therefore A.  (345 + 23) ÷ 2 is the answer.

Answer:

3000 weekly

39000 annually

Step-by-step explanation:

Answer:

39,000 dollars

Answer:

24.

Step-by-step explanation:

The hypotenuse of a triangle is simply the slanted side of a triangle and it is always the longest side of any triangle.

Mathematically, the hypotenuse of a triangle is calculated using the Pythagorean theorem;

C² = A² + B²

Where;

C is the hypotenuse i.e the longest side.

A is the opposite side of the triangle.

B is the adjacent side of the triangle.

The expression that represents the area of the right-angled triangle with a base of 10 and height of 24 is 1/2 * 10 * 24.

To find the expression that represents the area of the right-angled triangle, we can use the formula for the area of a triangle, which is given by:

Area = (1/2) * base * height

In this case, the given measurements are:

Base = 10

Height = 24

Substituting these values into the formula, we get:

Area = (1/2) * 10 * 24

Simplifying the expression, we have:

Area = 5 * 24

Area = 120

Therefore, the expression that represents the area of the triangle is:

1/2 * 10 * 24

In the provided options, 1/2 * 10 * 24 is the correct expression for calculating the area of the triangle. The base and height are multiplied together, and then divided by 2 to account for the triangle's shape.

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Answer:

Step-by-step explanation:

p + n + d + q = 25

Put everything into quarters.

p and q are equally likely to be drawn

q + n + d + q = 25

There are 3 times as many nickels as quarters

n = 3q

q + 3q + d + q = 25

There is 25% more dimes than quarters.

d = 1.25 q

q + 3q + 1.25q + q = 25

6.25 q = 25

q = 25/6,25

=====================

q = 4

p = 4

d = 1.25 * 4 = 5

n = 12

Answer:

The volume of the spray can is given by the formula for the volume of a cylinder:

V = πr^2h

where r is the radius of the base (which is half the diameter), and h is the height.

The diameter of the spray can is 7 inches, so the radius is 7/2 = 3.5 inches.

The height of the spray can is 8 inches.

Substituting these values into the formula, we get:

V = π(3.5)^2(8)

V = π(12.25)(8)

V = 98π

Therefore, the volume of the spray can is 98π cubic inches.

give me thanks and rate 5* po~ if this helps u! your welcome!

Answer:

Depends, I do that sometimes out of love and just for fun however i let them know im doing it just to mess with them. If you feel like they dont like you or you think they are a fake friend just get rid of them because later on it will break you as a person rather than make you a better person. Id suggest surrounding yourself around better peopl/frienda

Step-by-step explanation:

i dont know lol just what came off the top of my head

Answer:

what are u talking about i do not see anything.

Step-by-step explanation:

Answer:

yeah when you post something there is like a little link  and add the picture

Step-by-step explanation: