Write and solve an equation for .

Answer: exact form -733/11.    Decimal form-66.63 where the 3 is repeating. Or mixed number form -66  7/11.

Step-by-step explanation: this is for if the last three numbers are in closed in parentheses but if non of the numbers are it would be-741/11,  -67.36 when 6 is repeating, and -67 4/11

Hope this helps :)

The circumference of a circle with a radius of 3 ft is greater than the distance around a semicircle with a diameter of 16 ft by approximately 2.84 ft.

The circumference of a circle is calculated using the formula C = 2πr, where r is the radius. For the given circle with a radius of 3 ft, the circumference would be C = 2π(3) = 6π ft.

The distance around a semicircle is calculated by finding half the circumference of the corresponding full circle. In this case, the diameter of the semicircle is 16 ft, which means the corresponding full circle has a radius of 8 ft. The circumference of the full circle is C = 2π(8) = 16π ft. Therefore, the distance around the semicircle is half of that, which is 8π ft.

Comparing the two values, 6π ft is greater than 8π ft by approximately 2.84 ft. Hence, the circumference of the circle with radius 3 ft is greater than the distance around the semicircle with a diameter of 16 ft by approximately 2.84 ft.


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Answer:

it will be on platform 9 3/4

Step-by-step explanation:

The correlation coefficient is approx 0.57, with a positive direction; the slope is 0.41.it seems that the correlation coefficient is approximately 0.57, with a slope of 0.41, indicating a moderately strong positive linear relationship.

To analyze the relationship between age and bone density loss, follow these steps:

1. Open the Excel file containing the data.
2. Create a scatter plot by selecting the data for age (x variable) and bone density loss (y variable).
3. Insert a scatter plot chart from the "Insert" tab in Excel.
4. Add a trendline to the scatter plot by right-clicking on any data point, selecting "Add Trendline," and choosing "Linear."
5. Display the equation and R-squared value on the chart by checking the "Display Equation on chart" and "Display R-squared value on chart" options in the trendline settings.

Based on the information provided in the options, it seems that the correlation coefficient is approximately 0.57, with a slope of 0.41, indicating a moderately strong positive linear relationship. This corresponds to option A:

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Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

Answer:

Step-by-step explanation:

1). There is 5 hours between 8:15 A.M. and 3:15 P.M.

7 × 60 - 10 = 410 minutes

2). 6 hours and 50 minutes

3). Right angle (90°)

4). Obtuse angle (120°)

The solution that we have here is a combination question not a permutation.

You can order pizza with:  1, 2, 3, 4 toppings for $10.

The ways to do the ordering are

In total there would be  3060+816+153+18=4047 ways of ordering for the pizza.

3. Given 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 and there are no restrictions, we would have

2¹⁸ ways of ordering = 262144 ways

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Answer:

E1488

Step-by-step explanation:

Since its E1200,

we find the total.

Total= time times money times interest.

1200*0.08 ( thats 8%) *3.

So, we multiply 1200*0.08*3.

the answer is 288.

1200+288 is 1488.

Hope this helps plz hit the crown :D

The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.

To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:

-5/3 x² + 3x + 11 = -9 + 25/3 x²

First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:

-5x² + 9x + 33 = -27 + 25x²

Next, let's combine like terms:

-5x² - 25x² + 9x + 33 = -27

-30x² + 9x + 33 = -27

Now, let's bring all the terms to one side to have a quadratic equation equal to zero:

-30x² + 9x + 33 + 27 = 0

-30x² + 9x + 60 = 0

Finally, we have the quadratic equation in standard form:

-30x² + 9x + 60 = 0

Dividing each term by 3, we get:

-10x² + 3x + 20 = 0

(-2x + 5)(5x + 4) = -10x² + 3x + 20

So, the factored form of the equation -30x² + 9x + 60 = 0 is:

(-2x + 5)(5x + 4) = 0

Now we can set each factor equal to zero and solve for x:

-2x + 5 = 0 --> x = 5/2

5x + 4 = 0 --> x = -4/5

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The recipe can result in 92 muffins from 23/4 cups of flour.

The calculation to find the number of muffins from 23/4 cups of flour will use multiplication and division.

Number of muffins that can be made from 1 cup of flour = 16

So, the number of muffins that can be made from 23/3 cup of flour = 23/4 × 16

Performing division on Right Hand Side of the equation by 4

The number of muffins that can be made from 23/3 cup of flour = 23 × 4

Performing multiplication on Right Hand Side of the equation

The number of muffins that can be made from 23/3 cup of flour = 92

Hence, 92 muffins can be made form mentioned amount of flour.

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The probability that Mr. Z will keep his driver's license for at least 10 years is approximately 0.2212 or 22.12%.

To find the probability that Mr. Z will keep his driver's license for at least 10 years, we can use the Poisson distribution to model the occurrence of the rare event of him being caught drinking and driving.

The average frequency of Mr. Z drinking and driving is once in 4 years. Since the Poisson distribution assumes a constant average rate, we can use this information to calculate the average rate parameter (λ) for the Poisson distribution.

λ = Average frequency = 1 event in 4 years

To find the probability of Mr. Z not being caught drinking and driving for at least 10 years, we need to calculate the cumulative probability of zero events occurring in a 10-year period.

\(P(X > = 0) = 1 - P(X < 0)\)

Using the Poisson distribution formula, we can calculate the probability of zero events:

\(P(X = 0) = (e^(-λ) * λ^0) / 0!\)

Substituting the value of λ into the formula, we get:

\(P(X = 0) = (e^-(1/4) * (1/4)^0) / 0!\)

\(P(X = 0) = e^-(1/4)\)

To find the probability of Mr. Z not being caught drinking and driving for at least 10 years, we take the cumulative probability:

\(P(X > = 0) = 1 - e^-(1/4)\)

Calculating this value, we find:

\(P(X > = 0) = 0.2212\)

Therefore, the probability that Mr. Z will keep his driver's license for at least 10 years is approximately 0.2212 or 22.12%.

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the price of the Shredmaster 5000 will be $ 959.2 and the function is g (x) = 0.8 x for x > 1000.

If the purchase is made for $ 1000 and above. the discount = 20 %

Now the cost of Shredmaster 5000 = $ 1199

Now, the price after the discount will be

Price = 1199 - 20 % of 1199

Price = 1199 - 20 / 100 × 1199

Price = 1199 - 0.20 × 1199
Price = 1199 - 239.8

Price = $ 959.2

The function will be:

g (x) = x - 0.2 x

g (x) = 0.8 x for x > 1000.

Therefore, the price of the Shredmaster 5000 will be $ 959.2 and the function is g (x) = 0.8 x for x > 1000.

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Answer: x=11

Step-by-step explanation:

\(1.5x+3=3(1.5x-10)\\Distribute\\1.5x+3=4.5x-30\)

Subtract 3 from both sides

\(1.5x=4.5x-33\)

Now subtract 4.5x from each side

\(-3x=-33\\Divide\\x=11\)

Answer:

11

Step-by-step explanation:

1.5x+3=3(1.5x-10)

1.5x+3=4.5x-30

4.5x-1.5x-30=3

3x-30=3

3x=3+30

3x=33

x=33/3

x=11

Carman buy the video game in the cost of $45.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

Carman has saved 80% of the money she needs to buy a new video game.

And, she saved the cost $36.

Let total cost of the video game = x

So, We can formulate;

⇒ 80% of x = $36

⇒ 80/100 × x = 36

⇒ 8x = 360

⇒ x = $45

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a. The conditions for a valid sampling distribution for p are:

Randomization Condition: The sample of 1785 adults must be selected randomly from the population of all U.S. adults.

10% Condition: The sample size, 1785, must be less than 10% of the population of all U.S. adults.

Success/Failure Condition: The number of successes (people who attended church) and failures (people who did not attend church) in the sample must both be at least 10.

b. The sampling distribution of p is approximately normal with mean equal to the true proportion of U.S. adults who attended church last week, which is given as 0.40 in the newspaper report. The standard deviation of the sampling distribution can be calculated using the formula:

sqrt[(p*(1-p))/n]

where p is the true proportion and n is the sample size. Substituting p=0.40 and n=1785, we get:

sqrt[(0.40*(1-0.40))/1785] = 0.014

Therefore, the sampling distribution of p has mean 0.40 and standard deviation 0.014.

c. To find the probability of obtaining a sample of 1785 adults in which 44% or more say they attended church last week, assuming the newspaper report's claim is true, we need to calculate the z-score and use a standard normal table or calculator to find the corresponding probability.

The z-score can be calculated using the formula:

z = (x - mu) / sigma

where x is the sample proportion, mu is the population proportion (given as 0.40), and sigma is the standard deviation of the sampling distribution (calculated as 0.014 above). Substituting x=0.44, mu=0.40, and sigma=0.014, we get:

z = (0.44 - 0.40) / 0.014 = 2.857

Using a standard normal table or calculator, we find that the probability of obtaining a z-score of 2.857 or higher is approximately 0.0021.

Therefore, the probability of obtaining a sample of 1785 adults in which 44% or more say they attended church last week, assuming the newspaper report's claim is true, is approximately 0.0021.

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Answer:

what expressions

Step-by-step explanation:

Answer:

Step-by-step explanation:

First expand the expression so you know the coefficients of x and y.

4(2x+y+2y) = 4(2x+3y) = 8x+12y

8x+12y  =  8x+12y

6x+7y  ≠  6x+12y

8x+y+2y  = 8x + 3y ≠  8x+12y

8x+4y+8y = 8x+12y = 8x+12y

hope this help

Using the given information we found that the equation of the parabola is:

y = (-4/9)*(x - 3)^2 + 5

And its graph is below.

For a parabola with vertex (h, k), the equation is:

y = a*(x - h)^2 + k

Here the vertex is (3, 5), so the equation is:

y = a*(x - 3)^2 + 5

And the y-intercept is y = 1, this means that:

1 = a*(0 - 3)^2 + 5

1 = a*9 + 5

1 - 5 = a*9

-4/9 = a

So the parabola is:

y = (-4/9)*(x - 3)^2 + 5

And its graph is below.

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The sum of f(x) and g(x), denoted as (f + g)(x), simplifies to 3x^2 - 6.

To find (f + g)(x), we need to add the functions f(x) and g(x) together.

Given:

f(x) = 2x^2 + 1

g(x) = x^2 - 7

To calculate (f + g)(x), we substitute the given expressions for f(x) and g(x) into the sum (f + g)(x):

(f + g)(x) = f(x) + g(x)

= (2x^2 + 1) + (x^2 - 7)

Now, let's simplify the expression by combining like terms:

(f + g)(x) = 2x^2 + 1 + x^2 - 7

To combine the terms, we can add the coefficients of the like terms:

(f + g)(x) = (2x^2 + x^2) + (1 - 7)

= 3x^2 - 6

The result is that the sum of f(x) and g(x), written as (f + g)(x), may be expressed as 3x2 - 6.

In summary, the function (f + g)(x) is represented by the expression 3x^2 - 6. This means that if we evaluate this function for any given value of x, the result will be equal to 3 times the square of x, minus 6.

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Answer:

Step-by-step explanation:

Find the distance of all 3 lines

using the distance formula

\(\sqrt{(x2-x1)+(y2-y1)}\)

(1,6) and (1,1) distance

5

(1,1) and (4,1) distance

3

(1,6) and (4,1) distance

\(\sqrt{34}\)

pythogorean theroem

a2 + b2 = c2

5^2 + 3^2 = 34

\(\sqrt{34}\)^2 = 34

Answer:

acute

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

10.4 inches per minute

Step-by-step explanation:

52 ft -> 60 mins

624 in -> 60 mins

10.4 -> 1 min

Hello User,

Answer:

10.4 in per min

Step-by-step explanation:

First multiply 52 by 12 to get inches per hour. 624 in per hour. Then make it 624 inches in 60 minutes. Divide 624 by 60 to get 10.4. So it's speed in inches per minute is 10.4 in per min.

Answer:

2:1

Step-by-step explanation:

4 pineapples, 2 bananas

4:2

2:1 (If reduced)

Answer:

Both have the same period which is 2π

Step-by-step explanation:

The magnitude of the car's acceleration after the brakes are applied is:

a = 2 × (d - vo × treact) / treact^2

Initially, the car is traveling at a constant velocity of magnitude vo, so its acceleration is zero. When the driver notices the garbage can, the car has a distance d from the can.

After the driver applies the brakes, the car slows down at a constant rate until it comes to a stop just before the garbage can. Let a be the magnitude of the car's acceleration during this period.

The distance traveled by the car during this time can be expressed as the sum of two distances: the distance traveled while decelerating from vo to zero velocity, and the distance traveled while the car is at rest.

The distance traveled while decelerating can be calculated using the equation:

d = (vo × treact) + (1/2 × a × treact^2)

The distance traveled while the car is at rest is zero, since the car is not moving.

Setting d equal to the initial distance between the car and the garbage can (d = d), and solving for a, we get:

a = 2 × (d - vo × treact) / treact^2

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The given question is incomplete, the complete question is:

A car is traveling at a constant velocity of magnitude vo when the driver notices a garbage can on the road in front of him. At that moment, the distance between the garbage can and the front of the car is d. A time treact after noticing the garbage can, the driver applies the brakes and slows down at a constant rate before coming to a halt just before the garbage can. What is the magnitude of the car's acceleration after the brakes are applied?

Answer:

27

Step-by-step explanation:

If a=4, b=6, and sina=3/5 in triangle abc, then sin b equals: 9/10

To find sin(b) in triangle ABC, we can use the sine function in a right angle and the given information.

Given:

a = 4

b = 6

sin(a) = 3/5

We know that the sine of an angle in a right triangle is equal to the ratio of the length of the side opposite the angle to the length of the hypotenuse.

In triangle ABC, let's label the side opposite angle a as side c and the hypotenuse as side h.

sin(a) = c / h

Substituting the given values:

3/5 = 4 / h

To solve for h, we can cross-multiply:

3h = 5 * 4

3h = 20

h = 20 / 3

Now, we can use the sine function to find sin(b):

sin(b) = side opposite angle b / hypotenuse

sin(b) = 6 / (20 / 3)

sin(b) = 6 * (3 / 20)

sin(b) = 18 / 20

sin(b) = 9 / 10

Therefore, sin(b) equals 9/10.

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Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.