Which of the following expressions have the same value as the mixed number

Answer:

24:56 equals to 3:7

Step-by-step explanation:

24:56 equals to 3:7

The equation sin(t) = 22 has no solution in the interval [0, 2π].

The equation sin(t) = 22 represents a trigonometric equation where the sine of an angle is equal to 22. However, the range of the sine function is [-1, 1], which means that the sine of any angle can only take values between -1 and 1, inclusive.

Since 22 is outside the range of possible values for the sine function, there are no angles in the interval [0, 2π] that satisfy the equation sin(t) = 22. Therefore, the equation has no solution in the given interval.

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The area in square miles (rounded to the nearest integer) is:

area = 2,492 square miles.

Here we need to perform a change of units from acres to square miles. We know the relation:

1 square mile = 640 acres.

And we want to find the area of a park with 1,505,011 acres in square miles.

We can rewrite the relation above as:

1 acre = (1/604) square miles.

Then the area of the park will be:

Area = 1,505,011 acres  = 1,505,011*(1/604) square miles

Area = 2,491.74 square miles.

Rounding to the nearest integer we will get:

area = 2,492 square miles.

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Answer:

A

Step-by-step explanation:

The scale factor can be defined as the ratio of new dimension of an object after scaling to the original  dimension. The are of the new circle is 49 times the area of the original circle. The correct answer is option C.

Scaling factor is a conversion factor used to change the size of a figure without changing its shape. When the size of a figure is increased, it called scaled up and when it decreases it is called as scaled down.

Given that, Scale factor of circle = 7.

Since, the scale factor of a circle is the ratio of new radius to original radius.

The new radius of circle can be written as,

r' = 7r

Thus, the area of new circle is π × (r')^2= π × (49r^2).

Hence, the area of new circle is 49 times the original circle.

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Answer: height = 1.91 m

Step-by-step explanation: Using the formula

V=πr2h

Solving for h

h=V

πr2=37.5

π·2.52≈1.90986m

The type of sampling that is used when the probability of selecting each individual in a population is known and every member of the population has an equal chance of being selected is called "simple random sampling".

In simple random sampling, each member of the population is assigned a unique number or identifier, and then a random number generator or other random selection method is used to choose a subset of individuals from the population for the sample. This type of sampling is preferred in research studies because it helps to ensure that the sample is representative of the population as a whole, and can therefore provide more accurate and reliable results. Additionally, because every member of the population has an equal chance of being selected, this type of sampling reduces the potential for bias or favoritism in the selection process.

Overall, simple random sampling is a powerful tool for gathering data and making inferences about a larger population, and is widely used in many different fields and disciplines.

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36 is large a sample should the researcher   by confidence level.

What does "confidence level" mean?

Confidence lavel = 93%

           z = 1.81

        σ = 10

       E = 3

Sample mix n = ( zσ/E)² = ( 1.81 * 10/3)

                         = 36.4

                         ≈ 36

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The vertex of the function is (10, 0) which represents the minimum length of the paddle boards.

The vertex of a function is the point where the function reaches its maximum or minimum value.

For a quadratic function in standard form, f(x) = a(x - h)² + k, the vertex is located at the point (h, k).

If the leading coefficient (a) is positive, the parabola opens upwards and the vertex represents the minimum value of the function.

If the leading coefficient is negative, the parabola opens downwards and the vertex represents the maximum value of the function.

Here we have

The length of paddle boards function, v(x) = |x - 10|

Convert the given function into the standard form i.e  

=> f(x) = a(x - h)² + k

where (h, k) is the vertex of the function.

As we know |y| is the same as √(y²),  

=> v(x) = √[(x - 10)²]

On simplifying the expression we get:

v(x) = √[ x²- 20x + 100 ]

Now we can see that this is a quadratic function in standard form, with a = 1, h = 10, and k = 0. Therefore, the vertex of the function is:

=> (h, k) = (10, 0)

Therefore,

The vertex of the function is (10, 0) which represents the minimum length of the paddle boards.

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Answer:

y= -2/7x +4

Step-by-step explanation:

Answer: -2/7

Step-by-step explanation:

1. Use the slope equation (y2-y1)/(x2-x1) you take 2 coordinates in the chart and use the second coordinates y output minus the first corrdinates y output and the same for the x inputs and whatever you get is your slope

1. Plug the first two coordinates into the slope formula:

(6-8)/(-7-(-14))

2. Solve:

-2/7!

I hope this helped :)

Comment: RMS value is equal to the average value. This means that the signal does not have any high-frequency content. It can be inferred that the function y(t) does not oscillate. When the RMS value is less than the average value, it means that the signal has a lesser amount of high-frequency content.

Average and rms values for the function y(t)=25+10sin6πt over the time periods (a) 0 to 0.1 s, (b) 0.4 to 0.5 s, (c) 0 to 1/3 s, and (d) 0 to 20 s are as follows:

a) For t=0 to t=0.1s:

Average value, y_avg = 25

RMS value, y_RMS = 25.1987

Comment: RMS value is greater than the average value. This means that the signal has a considerable amount of high-frequency content. It can be inferred that the function y(t) oscillates rapidly.

b) For t=0.4 to t=0.5s:

Average value, y_avg = 25

RMS value, y_RMS = 28.2843

Comment: RMS value is greater than the average value. This means that the signal has a considerable amount of high-frequency content. It can be inferred that the function y(t) oscillates rapidly.

c) For t=0 to t=1/3 s:

Average value, y_avg = 25

RMS value, y_RMS = 23.7176

Comment: RMS value is less than the average value. This means that the signal has a lesser amount of high-frequency content. It can be inferred that the function y(t) oscillates slowly.

d) For t=0 to t=20 s:

Average value, y_avg = 25

RMS value, y_RMS = 25

Comment: RMS value is equal to the average value. This means that the signal does not have any high-frequency content. It can be inferred that the function y(t) does not oscillate. Comment on the nature and meaning of the results in terms of analysis of dynamic signals.The results indicate that the function y(t) oscillates rapidly at the start and end of the time period and slowly in the middle. When the RMS value is greater than the average value, it means that the signal has a considerable amount of high-frequency content.

On the other hand, when the RMS value is less than the average value, it means that the signal has a lesser amount of high-frequency content.

Furthermore, if the RMS value is equal to the average value, it means that the signal does not have any high-frequency content.

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What is the question?

To compute a weighted average forecast for the given demand data, we assign weights to each period based on their relative importance. The most recent period has a weight of 0.4, the next most recent period has a weight of 0.3, and the remaining periods have weights of 0.2 each. By multiplying each demand value with its corresponding weight and summing the results, we can calculate the weighted average forecast.

To compute the weighted average forecast, we multiply each demand value by its corresponding weight and sum the results. Given the demand data:

Period 1: Demand = 44

Period 2: Demand = 42

Period 3: Demand = 44

Period 4: Demand = 42

Period 5: Demand = 47

Using the provided weights, we assign the following weights to each period:

Period 1: Weight = 0.4

Period 2: Weight = 0.3

Period 3: Weight = 0.2

Period 4: Weight = 0.2

Period 5: Weight = 0.2

Now, we multiply each demand value by its corresponding weight:

Weighted Demand for Period 1: 44 * 0.4 = 17.6

Weighted Demand for Period 2: 42 * 0.3 = 12.6

Weighted Demand for Period 3: 44 * 0.2 = 8.8

Weighted Demand for Period 4: 42 * 0.2 = 8.4

Weighted Demand for Period 5: 47 * 0.2 = 9.4

Finally, we sum up the weighted demand values:

Weighted Average Forecast = 17.6 + 12.6 + 8.8 + 8.4 + 9.4 = 56.8

Therefore, the weighted average forecast for the given demand data is 56.8.

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Answer:

You can't solve since there is no variables

The inequality from the question is true

Answer:

y=3/4x

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=3/4(x-(-4))

y+3=3/4(x+4)

y=3/4x+12/4-3

y=3/4x+3-3

y=3/4x

Answer:-2

Step-by-step explanation:

Mike's monthly payments are approximately $19,407.43. At the end of the 5-year term (time 60), Mike owes approximately $1,048,446.96.

To solve the given problem, we can use the formula for calculating the monthly mortgage payments:

P = (r * A) / (1 - (1 + r)^(-n))

Where:
P = Monthly payment
r = Monthly interest rate
A = Loan amount
n = Total number of payments

First, let's calculate the monthly interest rate. The nominal interest rate is given as 1.8%, which means the monthly interest rate is 1.8% divided by 12 (number of months in a year):

r = 1.8% / 12 = 0.015

Next, let's calculate the total number of payments. The mortgage has a 30-year amortization period, which means there will be 30 years * 12 months = 360 monthly payments.

n = 360

Now, let's calculate Mike's monthly payments using the formula:

P = (0.015 * (1.3m - 300k)) / (1 - (1 + 0.015)^(-360))

Substituting the values:

P = (0.015 * (1,300,000 - 300,000)) / (1 - (1 + 0.015)^(-360))

Simplifying the expression:

P = (0.015 * 1,000,000) / (1 - (1 + 0.015)^(-360))

P = 15,000 / (1 - (1 + 0.015)^(-360))

Calculating further:

P = 15,000 / (1 - (1.015)^(-360))

P ≈ 15,000 / (1 - 0.22744)

P ≈ 15,000 / 0.77256

P ≈ 19,407.43

Therefore, Mike's monthly payments are approximately $19,407.43.

To calculate the balance at time 60, we can use the formula for calculating the remaining loan balance after t payments:

Bt = P * ((1 - (1 + r)^(-(n-t)))) / r

Where:
Bt = Balance at time t
P = Monthly payment
r = Monthly interest rate
n = Total number of payments
t = Number of payments made

Substituting the values:

B60 = 19,407.43 * ((1 - (1 + 0.015)^(-(360-60)))) / 0.015

B60 = 19,407.43 * ((1 - (1.015)^(-300))) / 0.015

B60 ≈ 19,407.43 * ((1 - 0.19025)) / 0.015

B60 ≈ 19,407.43 * 0.80975 / 0.015

B60 ≈ 19,407.43 * 53.9833

B60 ≈ 1,048,446.96

Therefore, at the end of the 5-year term (time 60), Mike owes approximately $1,048,446.96.

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Answer:

a) y = 321(1.08)^6

b) Explain:

321 is the initial value

1.08 is the increasing rate

6 is the number of years.

c) Show your work

Step-by-step explanation:

The volume of the given hollow cylinder to the nearest whole number is 1102 cm³.

What is a cylinder?

One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry.

A cylinder has two distant, parallel circular bases. At a predetermined distance from the centre, a curved surface connects the two circular bases. The axis of the cylinder is the line segment connecting the centres of two circular bases. The height of the cylinder is defined as the distance between the two circular bases.

A cylinder that is hollow from the inside out and has a gap between its internal and external radii is referred to as a hollow cylinder. The hollow cylinder's base resembles an annular ring.

Given,

Inner radius r = 5cm

Outer radius R=8cm

Height h = 9 cm

The volume of a hollow cylinder =  π (R² - r²)h

                                                      = 3.14 *(8² - 5²)* 9 = 1102.14cm³

Therefore the volume of the given hollow cylinder to the nearest whole number is 1102 cm³.

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Answer:

X,Y 1,2

Step-by-step explanation:

hope this helps

Answer:

that does not make sense ?????????????????????????????????????????

The rate of change of f(x) = 2(4)^x is equal to the rate of change of the function in the graph. Therefore, the correct answer option is: A. equal to.

Mathematically, the rate of change is also referred to as slope or gradient and it can be calculated by using this formula;

Rate of change, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Rate of change, m = (y₂ - y₁)/(x₂ - x₁)

Next, we would determine the rate of change of the value of y with respect to the value of x for the function in the graph, which represents a line that passes through the points (0, 2) and (1, 6):

Rate of change, m = (6 - 2)/(1 - 0)

Rate of change, m = 4/1

Rate of change, m = 4.

From function 1 [f(x) = 2(4)^x], we can logically deduce that the rate of change is equal to 4.

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Answer:

A) The three triangles have the same area

B) 10 square units

Step-by-step explanation:

In the figure attached, the triangles are shown.

A) The three triangles have the same area because all have the same base and height (see figure)

B) Area of a triangle = (1/2)*base*height

Area of a triangle = (1/2)*4*5 = 10 square units

Answer:

A) = C

B) = 4.5 cm^2

1) 6 (14 x 6 = 84)

2) 1 (23 x 1 = 23)

3) 7 (-6 x 7 = 42)

4) -1, -5, 2 (-1 x -5 = 5 and 5 x 2 = 10)

5) -116393 (487 x -239 = -116393)

6) -7.5 (7 + 8 = 15 and 15 ÷ -2 = -7.5)

7) -4 (8² = 64 , -4 x 4 = -16 and 64 ÷ -16 = 4)

8) -1 (12 x 12 = 144 so - 144 then you do 12² = 144 and finally -144 ÷ 144 = -1)

9) -2 (-8 ÷ 4 = -2)

10) 2 (16 - 8 = 8 , 2 x 2 = 4 and 8 ÷ 4 = 2)

I hope this helps

Answer:

He got 30 right!

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

Step-by-step explanation:

32 mph

The money in the account at the end of the 4 years is $1034

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Now we are given that the initial amount deposited in the account is $1000

This account is giving 0.85% And we have to figure out how much amount will be there

We use compound interest formula to find the amount

\(A= P(1+r/n)^{nt}\\\\A= 1000(1+0.0085)^{4}\\A = 1000(1.034)\\A= 1034\)

Hence the amount will be after 4 years is $1034.

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