Aramis showed the division of 6p2 9p 3 by 3p. a 3 b what are the values of a and b? a = 2p and b = p a = 3p and b = p a = and b = a = 2p and b =

1. Let's call the first number "x" and the second number "y". We know that:

x = 4 + 2y (equation 1)

x - y = 27 (equation 2)

We can use equation 1 to substitute x in equation 2:

(4 + 2y) - y = 27

Simplifying the equation:

3y = 23

So the second number is:

y = 23/3

Using equation 1, we can find the first number:

x = 4 + 2(23/3) = 50/3

Therefore, the numbers are 50/3 and 23/3.

2. Let's call the length of the equal sides of the triangle "x" and the length of the third side "y". We know that:

y = x + 10 (equation 1)

2x + y = 100 (equation 2)

We can use equation 1 to substitute y in equation 2:

2x + (x + 10) = 100

Simplifying the equation:

3x = 90

So the length of the equal sides is:

x = 30

Using equation 1, we can find the length of the third side:

y = 30 + 10 = 40

Therefore, the lengths of the sides are 30, 30, and 40.

Answer:

the answer is 55%, I hope this helps you :)

A quadrilateral is a four sided figure. It is possible to decompose the quadrilaterals to give two triangles by taking apart the diagonal that runs across the figure

A quadrilateral is a four sided figure. The images are not shown here so we don't know what the dimensionof each figure is.

It is possible to decompose the quadrilaterals to give two triangles by taking apart the diagonal that runs across the figure and find the area of the two triangles in order to obtain the area of the orginal figure.

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Jonathan's mix has more grapefruit flavor since it has a higher ratio of concentrate to water.

Generally, Grapefruit flavor refers to the taste and aroma that is characteristic of grapefruit, a citrus fruit that is known for its sour and slightly bitter taste.

Grapefruit flavor can be described as a mix of sweet, tart, and bitter notes with a distinct citrus tang.

the ratios of the mixtures are 9/40 and 8/32

Therefore

8/32= 0.25

9/40 = 0.225

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Answer: Another way to look at it is that the rectangle was reduced in a factor of 5 (1/0.2=5)

don't forget to drop a heart hope it helped

Step-by-step explanation:

Answer: 1/0.2=5

Step-by-step explanation:

I hope this helps if you guys need a reach out to me :)

Therefore, using simple exponential smoothing with a = 0.75, the forecast for water pump sales for February through May are:- February: 26.5 units,  March: 37.63 units, April: 72.66 units.

To use simple exponential smoothing with a = 0.75, we first need to calculate the forecast for January:
F1 = 25 (given)
Next, we calculate the forecast for February using the formula:
F2 = a * Y1 + (1 - a) * F1
F2 = 0.75 * 28 + 0.25 * 25
F2 = 26.5 (rounded to one decimal place)
We repeat this process for each month, using the previous month's forecast and the actual sales data for the current month. The results are as follows:
Month      Actual Sales    Forecast
-------------------------------------
January           28          25
February          72          26.5
March             98          37.63
April            126          72.66
- May: 101.17 units
Hi, I'd be happy to help you with your question. To use simple exponential smoothing with a smoothing constant α = 0.75 to forecast the water pump sales for February through May, given that the forecast for January was 25 units, follow these steps:
Step 1: Start with the given forecast for January, which is 25 units.
Step 2: Calculate the forecast for February using the formula:
Forecast_February = α * (Actual_January) + (1 - α) * Forecast_January
Step 3: Calculate the forecast for March using the formula:
Forecast_March = α * (Actual_February) + (1 - α) * Forecast_February
Step 4: Calculate the forecast for April using the formula:
Forecast_April = α * (Actual_March) + (1 - α) * Forecast_March
Step 5: Calculate the forecast for May using the formula:
Forecast_May = α * (Actual_April) + (1 - α) * Forecast_April
Please note that you have provided sales data for air-conditioning sales, but the question is about water pump sales. If you meant to ask about air-conditioning sales, you can use the given sales data to calculate the forecasts for February through May. If you need help with water pump sales, please provide the correct sales data for January through April, and I will gladly help you with the calculations.

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The range of the function g(x) is given as follows:

[0, ∞).

From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:

[0, ∞).

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The exact values of all angles in the interval [0, 360°) that satisfy the given equations are:

data = 45°, 135°, 315°.

To solve the given trigonometric equations, we will consider each equation separately.

tan²(data) - 1 = 0:

First, let's rewrite tan²(data) as (sin(data)/cos(data))²:

(sin(data)/cos(data))² - 1 = 0

Now, we can factor the equation:

(sin²(data) - cos²(data)) / cos²(data) = 0

Using the Pythagorean identity sin²(data) + cos²(data) = 1, we can substitute sin²(data) with 1 - cos²(data):

((1 - cos²(data)) - cos²(data)) / cos²(data) = 0

Simplifying further:

1 - 2cos²(data) = 0

Rearranging the equation:

2cos²(data) - 1 = 0

Now, we solve for cos(data):

cos²(data) = 1/2

cos(data) = ± √(1/2)

cos(data) = ± 1/√2

cos(data) = ± 1/√2 * √2/√2

cos(data) = ± √2/2

From the unit circle, we know that cos(data) = √2/2 corresponds to angles 45° and 315° in the interval [0, 360°). Therefore, the solutions for data are:

data = 45° and data = 315°.

cos(data)sin(data) = 1:

Since cos(data) ≠ 0 (otherwise the equation wouldn't hold), we can divide both sides by cos(data):

sin(data) = 1/cos(data)

sin(data) = 1/√2

From the unit circle, we know that sin(data) = 1/√2 corresponds to angles 45° and 135° in the interval [0, 360°). Therefore, the solutions for data are:

data = 45° and data = 135°.

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Answer:

3 square centimeter = .0003 square meters

Answer:

siskwksjsjsiwkwjjansaooakwkwiwiwo

Answer:

A

Step-by-step explanation:

V = π r² h           Given d = 7 so the radius (r) = 3.5

577 = 3.14 (3.5)²h

577 = 38.465h

577/38.465 = h

15.00064 = h

15 cm ≈ h

Answer:

The correct answer is A,B,D

Answer:

sum of interior angles = 540

x = 20.833

Step-by-step explanation:

The formula for the sum of the interior angles is (n-2)*180, n is the number of sides

This irregular shape has 5 sides, so (5-2)*180 is our equation

3*180 = 540

so we add all the angles

5x+2+5x+10+2x+5+8x+8+4x+15

combine like terms

5x+5x+2x+8x+4x = 24x

2+10+5+8+15 = 40

24x+40=540 is our final equation thta we have to simplify.

(we make the equation equal to 540 since that is the sum of interior angles and all of those are interior angles.)

Subtract 40 from both sides

24x=500

divide both sides by 24

20.83333 is x

Using it's concept, the domain of the function shown in the graph is:

B. \(-6 \leq x \leq 6\).

The domain of a function is the set that contains all possible input values for the function. In a graph, the domain is the set that contains all values of x.

From this graph, the function is defined for values of x between -6 and 6, hence the domain is given by:

B. \(-6 \leq x \leq 6\).

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Answer:

7.78 kilograms

We can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

To find the equation of clean pulsations for a left-mounted beam with a simple support on the right, we can use the differential equation that describes the deflection of the beam. Assuming the beam is subject to a distributed load and has certain boundary conditions, the equation governing the deflection can be written as:

d^2y/dx^2 + (chx)^2 * y = 0

Where:

y(x) is the deflection of the beam at position x,

d^2y/dx^2 is the second derivative of y with respect to x,

ch(x) is the hyperbolic cosine function.

To solve this differential equation, we can assume a solution in the form of y(x) = A * cosh(kx) + B * sinh(kx), where A and B are constants, and k is a constant to be determined.

Substituting this assumed solution into the differential equation, we get:

k^2 * (A * cosh(kx) + B * sinh(kx)) + (chx)^2 * (A * cosh(kx) + B * sinh(kx)) = 0

Simplifying the equation and applying the given identity (chx)^2 - (shx)^2 = 1, we have:

(A + A * chx^2) * cosh(kx) + (B + B * chx^2) * sinh(kx) = 0

For this equation to hold for all values of x, the coefficients of cosh(kx) and sinh(kx) must be zero. Therefore, we get the following equations:

A + A * chx^2 = 0

B + B * chx^2 = 0

Simplifying these equations, we have:

A * (1 + chx^2) = 0

B * (1 + chx^2) = 0

Since we are looking for nontrivial solutions (A and B not equal to zero), the expressions in parentheses must be zero:

1 + chx^2 = 0

Using the identity (sinx)^2 + (cosx)^2 = 1, we can rewrite this equation as:

1 + (1 - (sinx)^2) = 0

Simplifying further, we get:

2 - (sinx)^2 = 0

Solving for (sinx)^2, we find:

(sin x)^2 = 2

Since the square of the sine function cannot be negative, there are no real solutions to this equation. Therefore, we can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

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Given:

As angle N is 90 degree.

To find the bearing of flight from Elgin to Canton.

Use the sin ratio,

The bearing angle ( clockwise from north ) can be calculated by subtracting the above angle from the west bearing angle of 270 degree.

Answer: 239.37 degree

Answer: 26th will be quarter

Answer:

6.7 per unit

Step-by-step explanation:

After using 586 nickels to buy music and then replenishing his collection with an additional 36 nickels, Robert now has 1,700 nickels.

Robert initially had 18 jars with 125 nickels in each jar, which gives us a total of 18 x 125 = 2,250 nickels. He then used 586 of these nickels to buy new music for his iPod.

Therefore, the number of nickels that he had left was 2,250 - 586 = 1,664 nickels.

However, Robert was able to collect an additional 36 nickels the following week to help replenish his collection.

So, we need to add these 36 nickels to the 1,664 nickels that he had left.

This gives us a total of 1,664 + 36 = 1,700 nickels that Robert now has in his collection.

In conclusion, after using 586 nickels to buy music and then replenishing his collection with an additional 36 nickels, Robert now has 1,700 nickels.

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The probability that every even number appears at least once before the first occurrence of an odd is 1/20.

Given:

A fair 6-sided die is repeatedly rolled until an odd number appears.

There are 6! ways to order the 6 numbers and 3!(3!) ways to order the evens in the first three spots and the odds in the next three spots.

so the probability = 3!*3! / 6!

= 3!*3! / 6*5*4*3!

= 3*2*1 / 6*5*4

= 6*1 / 30*4

= 6/120

= 1/20

Therefore the probability that every even number appears at least once before the first occurrence of an odd is 1/20.

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Answer:

11700

Step-by-step explanation:

is the answer good luck on the test

Answer:

Step-by-step explanation:

Functions are not differentiable at sharp corners.  For an absolute value function, a sharp corner happens at the vertex.

f(x) = a |x -h| + k  where (h, k) is the vertex

For your function:

g(x) = |x-6| + 2     the vertex is at (6, 2) so the function is not differentiable at (6,2)

b) There are 2 ways to solve this.  You can break down the derivative or know the slope.  We will take a look at slope.  The derivative is the slope of the function at that point. We know that there is no stretch to your g(x) function so the slope left of (6,2) is -1 and the slope right of (6,2) is +1  

Knowing this your g' will all be -1 or +1

g'(0) = -1

g'(1) = -1

g'(7) = 1

g'(14) = 1

Based on the information and the dimensions of the scaled figure, we can infer that the dimensions of the actual figure are 2.1 meters by 3.9 meters.

To calculate the measures of the original figure we must apply a rule of three. In this case, the logic that we must use is: if 2 centimeters are equivalent to 1 meter, how much is 4.2 cm and 7.8 cm respectively.

According to the above, the measurements of the original figure are: 2.1 meters by 3.9 meters.

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Answer:

Is a tangent

Step-by-step explanation:

* Great question by the way *

~ By definition, a tangent to circle is a straight line, presently perpendicular to a radius if one. In this case tangent AB should be perpendicular to the radius. If we were to call the center O, we would say AB should be perpendicular to OA. ~

1. Now let us say at the moment that AB is a tangent. If that is so, it should be that m∠A = 90 degrees ( ° ), provided AB is ⊥ to OA by definition.

2. Now the triangle ABO is a right triangle, and with that is should be that Pythagorean Theorem is applied. This can help us prove if AB is a tangent or not. If Pythagorean Theorem is not applicable it would mean ABO is not a right angle triangle, that AB is not ⊥ to OA, and thus can't be a tangent.

3. Let us say x ⇒ side OA, and that side BO = 9 + 8 + 17:

AB^2 + OA^2  =  BO^2,

15^2 + x^2 = 17^2,

x = 8

4. Now there are two radii present, OA is only one of them. As radii are ≅, OA = other radii, 8 = 8

5. This proves that Pythagorean Theorem is applicable, that ABO is a right triangle, that m∠A = 90°, and that by definition AB is a tangent

Using the formula of area of a circle, about 226.08in² has been eaten

The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:

Area = π * r²

where π is approximately 3.14 and r is the radius of the circle.

Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.

Let's calculate the area of the entire pizza first:

Area = 3.14 * 12²

Area = 3.14 * 144

Area ≈ 452.16 square inches

Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:

Area of half of the pizza = 452.16 / 2

Area of half of the pizza ≈ 226.08 square inches

Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.

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Answer:

SAS

Step-by-step explanation: every triangle contains a total of 180 degrees if you substract 180 by 60+70(which is 130) you would get 50 degrees which is the exact degree missing in the first triangle, so after confirming that both triangles have an equal degrees on each side the answer would be SAS (which stands for Side-Angle-Side), SAS is the answer you would give to triangles that are congruent(equal)

Part A

The probability of getting diamonds on the first draw is 13/52 since we have 13 diamonds out of 52 total.

The probability of getting a non-diamond card on the second selection is 39/51 since we have 39 non-diamond cards out of 52-1 = 51 cards left over. Whatever card that was selected first is not put back. In this scenario, we are picking exactly one diamond card.

The probability of both events occurring is (13/52)*(39/51) = 13/68. I skipped a few steps but hopefully you can see how I arrived at that fraction.

The same probability shows up if we had a non-diamond card drawn first followed by a diamond card. This is because we compute (39/52)*(13/51) = 13/68.

So overall, the answer as a fraction is 13/68 + 13/68 = 26/68 = 13/34

The answer in decimal form is roughly 13/34 = 0.3824 which converts to 38.24%

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Part B

We're told that "given the first card drawn was a diamond" so we only need to worry about the second card.

We have 13-1 = 12 diamonds left out of 52-1 = 51 total.

The probability of picking another diamond is 12/51 = 0.2353 approximately. This converts to 23.53%

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