the quotient of 5 times a number and 7 is equal to 10 what is the number

The end of the 48-inch long treadmill is raised approximately 8.36 inches.

The incline of the treadmill is given as 10 degrees.

We can use trigonometry to calculate the height of the end of the treadmill.

The height (h) can be found using the formula h = l * sin(θ), where l is the length of the treadmill and θ is the angle of inclination.

Substitute the values into the formula:

h = 48 inches * sin(10 degrees)

Calculate the sine of 10 degrees using a calculator:

sin(10 degrees) ≈ 0.1736

Multiply the length of the treadmill by the sine of the angle:

h = 48 inches * 0.1736 ≈ 8.36 inches

The end of the 48-inch long treadmill is raised approximately 8.36 inches when set at an incline of 10 degrees.

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Using it's concept, it is found that the domain and range of the function are given by:

D: [–4, ∞) and R: [0, ∞)

In this problem, the function is:

\(g(x) = \sqrt{x + 4}\)

The square root function does not exist for negative values, hence the domain is represented by:

\(x + 4 \geq 0 \rightarrow x \geq -4\)

The range of the square root function is \(x \geq 0\), which remains the same as there are no vertical translations.

Hence the correct option is given by:

D: [–4, ∞) and R: [0, ∞)

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Answer: C) D: [–4, ∞) and R: [0, ∞)

Step-by-step explanation:

The total revenue function R(x) for a new computer game is given by R(x) = x • (50.5 - 4 ln(x)), where x is the number of games sold in thousands and p(x) is the price in dollars. To find the derivative of R(x), we use the product rule and obtain R'(x) = 46.5 - 4 ln(x). To determine the number of units sold when the price is $40, we set p(x) = 40 and solve for x, giving x ≈ 13.68 or about 13,680 units sold.

The total revenue function is given by R(x) = x • p(x), where p(x) is the price function. Substituting p(x) = 50.5 - 4 ln(x), we get:

R(x) = x • (50.5 - 4 ln(x))

To find the derivative of R(x), we use the product rule:

R'(x) = p(x) + x • p'(x)

where p'(x) = -4/x. Substituting p(x) and p'(x), we get:

R'(x) = (50.5 - 4 ln(x)) + x • (-4/x)

= 46.5 - 4 ln(x)

To find the number of units sold when the price is $40, we set p(x) = 40 and solve for x:

40 = 50.5 - 4 ln(x)

10.5 = 4 ln(x)

ln(x) = 2.625

x = e^(2.625)

Using a calculator, we get x ≈ 13.68. Therefore, about 13,680 units will be sold if the price consumers are willing to pay is $40.

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The probability that a randomly selected hot water heater has a life span of between 12 and 15 years is about 65.62%.

A Z-score is a numerical measurement that describes a cost's relationship to the suggestion of a group of values. Z-score is measured in terms of standard deviations from the suggested. If a Z-score is 0, it suggests that the statistics point's rating is identical to the mean rating.

According to the question;

Mean (μ) = 13 years

Standard deviation (σ) = 1.5 years

The z score can be used to find the probability of a random variable occurring over a normally distributed parameter if its mean and standard deviation is given. z = x- μ /  σ

The z score can then be used to find the probability of a randomly selected hot water heater lifespan being below that value: P ( Z < z)

First, find the z score for 12 and 15

z = 12 - 13 / 1.5 = - 0.6667

z = 15 - 13 / 1.5 = 1.333

Therefore,

P ( X < 12) = P ( Z < - 0.6667 ) ≈ 0.2525

P ( X < 15) = P ( Z < 1.333 ) ≈ 0.9087

To find the probability of a randomly selected hot water heater having a lifespan between 12 and 15 over this distribution, subtract the P for the lower value from the P for the higher value.

P ( - 0.6667 < X < 1.333 )  = P ( Z < 1.333 ) - P ( Z < - 0.6667 ) = 0.9087 - 0.2525 = 0.6562

P ( 12 < X < 15 ) ≈ 65.62%

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Answer:

y = -5x - 3

Step-by-step explanation:

y = -5x + b

2 = -5(-1) + b

2 = 5 + b

-3 = b

Answer:

volume is 1570 cm³

mass is 12560 g

Step-by-step explanation:

1m = 100 cm

the volume is :

1/4 x \(\pi\) x 6² x 100 - 1/4 x \(\pi\) x 4² x 100

= 900 \(\pi\) - 400 \(\pi\)              { v = 1/4 \(\pi\) d²h }

= 500 \(\pi\)

= 500 x 3.14

= 1570 cm³

the mass of the pipe is:

1570 x 8 = 12560 grams

Answer: Uh, hurray?

Step-by-step explanation: I can do 100 in a minute

Answer:

um are you saying i have to do this?

Step-by-step explanation:

n o not happening i've never been good at push-ups

Answer:

-12

Step-by-step explanation:

Answer:

w = -12

Step-by-step explanation:

Given: w/-2 = 6

Rewriting to make it easier to see what is going on: \(\frac{w}{-2}\) = 6

Multiplying both sides by -2: w = -12

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The combination has a refractive power of 0.167 diopters.

The refractive power of a lens is given by the formula P = 1/f, where f is the focal length of the lens in meters. The focal length of a lens in diopters (d) is given by f = 1/d.

To find the refractive power of the combination of a 10 d lens and a 15 d lens, we need to find the equivalent focal length of the combination. The equivalent focal length of two lenses in contact can be found using the formula:

1/f = 1/f1 + 1/f2

where f1 and f2 are the focal lengths of the individual lenses.

Substituting the values for the focal lengths of the two lenses, we get:

1/f = 1/10 + 1/15

Simplifying, we get:

1/f = 1/6

Multiplying both sides by 6, we get:

f = 6 meters

Therefore, the refractive power of the combination of the 10 d and 15 d lenses is:

P = 1/f = 1/6 = 0.167 d^-1.

Thus, the combination has a refractive power of 0.167 diopters.

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The exact length of the line segments whose endpoints are (10, 1) and (9, -4) is √37

The points are given as (10, 1) and (9, -4)

The exact length of the line segments whose endpoints are (10, 1) and (9, -4) is calculated as

d = √[(x2 - x1)^2 + (y2 - y1)^2]

So, we have

d = √[(10 - 9)^2 + (1 + 5)^2]

Evaluate

d = √37

Hence, the exact length of the line segments whose endpoints are (10, 1) and (9, -4) is √37

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Answer:

perimeter = 28

Step-by-step explanation:

Tangents drawn to a circle from an external point are congruent, thus

AH = AB = 5

GH = GF = 2

EF = ED = 3

CB = CD = 4

Sum the 8 parts for perimeter of polygon ACEG

perimeter = 5 + 5 + 2 + 2 + 3 + 3 + 4 + 4 = 28

Answer:

The cost of one ft^2 of grass sod = $9

the cost of one geranium= $9

Step-by-step explanation:

Hi, to answer this question we have to write a cost equation for each one:

Heather : 14x+5y =171

Carlos: 6x+7y=117

Where x is the cost of one ft^2 of grass sod and y is the cost of one geranium.

Multiplying Heather's equation by 7, Carlos' equation by 5, and subtracting Carlos' cost to Heather's cost:

98x+35y=1,197

-

30x+35y=585

____________

68x=612

Solving for x:

x = 612/68

x=$9 per ft2

Replacing x=9 on any equation:

6(9)+7y=117

54+7y=117

7y=117-54

7y=63

y=63/7

y=$9  

Answer:

The answer is "Study 2"

Step-by-step explanation:

In Study 2:

\(k =group\ number = 4\\\\df_1 = k - 1 = 4 - 1 = 3\\\\N = Total\ observations \ numbers = 30 + 10 = 40\\\\df_2 = N - k = 40 - 4 = 36\\\\Critical \ value( \alpha) (0.05,3,36) = 2.866\\\\Decision\ Rule\ in \ F \ test > F \critical, \ Then \ Reject H_0\\\\F \ test \ (3.11) < F \ critical \ (2.866)\\\\ \therefore H_0 \ is\ reject\\\\\)

Step-by-step explanation:

The answer is 72

True. The Pearson's linear correlation coefficient is a measure of the strength and direction of the linear relationship between two continuous random variables.

It ranges from -1 to 1, with values closer to -1 or 1 indicating a stronger linear correlation. If the value is near ±1, then the association between the variables is quasi perfectly linear. However, it is important to note that correlation does not imply causation and that other types of relationships between variables may exist beyond linear associations. In conclusion, the Pearson's linear correlation coefficient is a useful tool for assessing the strength and direction of linear relationships between continuous variables.

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Answer:

9xy = 3x . 3y

2xyz = 2x . y . z

4x . 4y = 16xy

Answer:

1, 4, 5.

Step-by-step explanation:

1. 3x * 3y is equal to 9y.

4. 2x * y * z is equal to 2xyz, since the grouped variables mean the same thing as multiplied.

5. 4x * 4y is 16xy, because 4 * 4 is 16 and x * y is xy.

a. If log₃ (54) - log₃ (6) = log₃ (n), then n = 9. b. If log(36) - log(n) = log(5), then n = 3. c. In(18) + In(7) = In(126).

d. log₂ (8) + log₂ (16) = 3 log₂ (8).

a.

log_3(54) - log_3(6) = log_3(n)

log_3(2*3^3) - log_3(3^2) = log_3(n)

log_3(3^3) = log_3(n)

n = 3^3

n = 9

Here is a more detailed explanation of how to solve this problem:

b

log(36) - log(n) = log(5)

log(6^2) - log(n) = log(5)

log(n) = log(6^2) - log(5)

n = 6^2 / 5

n = 36 / 5

n = 7.2

Here is a more detailed explanation of how to solve this problem:

c.In(18) + In(7) = In(18*7)

In(126)

Here is a more detailed explanation of how to solve this problem:

First, we can use the fact that the logarithm of a product is equal to the sum of the logarithms of the individual terms.

Finally, we can simplify the expression by combining the factors of 18 and 7.

d.

log_2(8) + log_2(16) = log_2(8*16)

log_2(128)

3 log_2(8)

Here is a more detailed explanation of how to solve this problem:

First, we can use the fact that the logarithm of a product is equal to the sum of the logarithms of the individual terms.

Finally, we can simplify the expression by combining the factors of 8 and 16

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After making a $150 deposit in the bank in one year, two years, and three years, Homer will have a total of $689 in the bank in four years, considering the interest rate of 5.6%.

Let's break down the problem step by step. In one year, Homer makes a $150 deposit. After one year, his initial deposit will earn interest at a rate of 5.6%. Therefore, after one year, his account balance will be $150 + ($150 * 0.056) = $158.40.

After two years, Homer makes another $150 deposit. Now, his initial deposit and the first-year balance will both earn interest for the second year. So, after two years, his account balance will be $158.40 + ($158.40 * 0.056) + $150 = $322.46.

Similarly, after three years, Homer makes another $150 deposit. His account balance at the beginning of the third year will be $322.46 + ($322.46 * 0.056) + $150 = $494.62.

Finally, after four years, Homer's account balance will be $494.62 + ($494.62 * 0.056) = $689.35, which rounds down to $689. Therefore, Homer will have $689 in the b in four years, considering the interest rate of 5.6%.

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Tyler takes 32 minutes to read 24 pages.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Tyler reads 3/4 pages per minute. Then the ratio of pages to minutes is given as,

Ratio = (3/4)/1

Ratio = 3:4

If he read 16 minutes, then the number of pages is calculated as,

(3/4) x 16

3 x 4

12 pages

Tyler has to read 24 pages for homework. Then the number of minutes is given as,

24 / (3/4)

24 x (4/3)

8 x 4

32 minutes

Therefore, it takes 32 minutes to read 24 pages.

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It is true that the indexed variables (members) of an array must be integers.

The indexed variables or members of an array must be integers. This is because arrays are data structures that store elements in a contiguous block of memory, and each element is accessed using an index. Indexing allows us to uniquely identify and retrieve specific elements within the array. In most programming languages, including C, C++, Java, and Python, array indices are integers and must be whole numbers (positive or negative) without any fractions or decimals. Attempting to use non-integer values as indices would result in a compilation error or unexpected behavior.

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The population of bacteria in the culture is approximately 78,500 bacteria.

Given that the radius of the circular culture is r = 5 mm, we can calculate the area A of the circle using the formula for the area of a circle:

A = π * r²

Substituting the value of the radius, we get:

A = π * (5 mm)²

A = π * 25 mm²

Now, the density of bacteria is given as 1000 bacteria per square millimeter. So, the population P of bacteria in the culture can be calculated by multiplying the area A by the density:

P = A * 1000

P = π * 25 mm² * 1000

Approximating the value of π as 3.14, we can evaluate the expression:

P ≈ 3.14 * 25 mm² * 1000

P ≈ 78,500 bacteria

Therefore, the population of bacteria in the culture is approximately 78,500 bacteria.

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Answer:

Look below :)

Step-by-step explanation:

1. coefficient

2. constant (it's referred to as a constant because the value never changes)

3. This polynomial has 4 terms. We know this by counting them. 5x^3 is one term, -x^2 is the second term, 5x is the third term, and -8 is the fourth term.

4. In descending order: 2, 1, 3, 4. The degree is the same value as the exponent. For the last term, x^2y^2, you add the values of the exponents together to get the degree.

5. -2 is the coefficient. The term with the third degree, or has 3 as the exponent, is -2x^3.

6. 1 is the coefficient. The term with the second degree is x^2. When the coefficient is 1, usually the 1 isn't written because any number multiplied by 1 equals that number (x * 1 = x)

7. 5 is the degree of the polynomial. To find the degree of a polynomial, find whichever term has the highest value for an exponent. In this case, 5 is the highest exponent.

8. 2 is the degree of this polynomial. Although none of the terms may look like they have a degree of 2, in order to find the actual degree of 4xy you have to add the values of the degree of x and y to find the actual degree. If x and y both have a degree of 1, you add those together to make 2.

9. 2\(x^{3}\) - 7\(x^{2}\) + 5x - 15. To order a polynomial from highest to lowest you have to order the terms in decreasing value of their exponents.

10. -4\(x^{3} y\) + 2xy + 5x + 7.

I hope this helps :)

A linear function that describes the cost of a trip, c, in terms of the number of miles, n will be "c=0.60n+0.67n" and cost per mile is $0.6 and $0.67 and the flat fee is $50.

Once you are aware of your mileage and total expenses, calculating cost per mile becomes a straightforward equation. Your cost per mile is calculated by dividing your total expenses by the total number of miles you have driven. Your expenses per mile are influenced by your variable and fixed costs, so you should probably pay closer attention to how much you're shelling out for each mile your drivers cover. You can better understand your primary costs and produce more accurate bids for new contracts by knowing your expenses at this specific level.

Here,

cost per mile,

20/30=$0.67/mile

30/50=$0.60/mile

c=0.60n+0.67n

flat fee,

=$30+$20

=$50

The cost per mile is $0.6 and $0.67, and the flat rate is $50. A linear function that expresses the cost of a trip, c, in terms of the number of miles, n, will be "c=0.60n+0.67n".

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Yes

Step-by-step explanation:

its a direct-variation function

Answer:

        .  

Step-by-step explanation:

Answer:

If we are solving for x then the answer is x = 10

Step-by-step explanation:

To solve for x we must first get all the variables to one side

so subtract 1x from both sides

1.50x = 15

divide 1.50 both sides

x = 10

The measurement basis used when a reliable estimate of fair value is not available is the historical cost basis.

Historical cost basis refers to the original cost of acquiring an asset or incurring a liability. Under this basis, assets are recorded at the amount paid or the consideration given at the time of acquisition, and liabilities are recorded at the amount of consideration received in exchange for incurring the obligation.

This measurement basis is used when a reliable estimate of fair value is not available because fair value requires market prices or observable inputs, which may not be readily available in certain situations. In such cases, historical cost provides a more objective and verifiable measure of an asset's value.

For example, if a company purchases a building for $500,000, the historical cost of the building will be recorded as $500,000 on the balance sheet. Even if the fair value of the building increases or decreases over time, the historical cost will remain unchanged unless there are subsequent events that require a different measurement basis, such as impairment.

In summary, when a reliable estimate of fair value is not available, the historical cost basis is used as a measurement basis to record assets and liabilities at their original acquisition or incurrence cost.

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Answer:  Orange Juice has the greater percentage of water (75 vs 40%)

40% of the Apple Juice is water.

Step-by-step explanation:

Apple Juice:  Water content is (32oz/80oz) = 0.40 or 40%

Orange Juice:  Water content is (48oz/64oz) = 0.75 or 75%

Answer: 2x = $90

Step-by-step explanation:

From the question, we are informed that Brady is selling candy bars for a school fundraiser to help pay for new sports uniforms and that he gets paid $2 for every candy bar he sells, and he made a total of $90 on Saturday.

The equation showing the number of candy bars Brady sold on Saturday goes thus:

Let the number of candy bars sold on Saturday be x.

Since each candy bar is sold for $2 and he made a total of $90, this means that the $90 gotten is the product of each candy bar and the amount sold which we represented by x. Therefore the equation will be:

2 × x = $90

2x = $90

We can further solve to get x.

2x = 90

x = 90/2

x = 45

That means 45 candy bars were sold.

Answer:

hi, so i belive the correct option to your question is:

2x = 90

Step-by-step explanation:

it just makes the most sense to me because 2x which could mean two times which in the equation it says he makes to dollars per candy bar sold, so it makes more sence for it to be 2x rather than 90x. and then it says he made a total of ninty dollars on saturday which is a key factor in solving this equation so think it would be 2x = 90$.

im really not sure if this logic makes sence, im not super good with algebra but i hope this helps you out.

The probability of randomly selecting a red, then a free marble from a bag of 5 red, 8 green, and 3 marbles

a)  0.1563

b) 0.1667

Since we are  given with bag of  5 red, 8 green, and 3 marbles. so, r=5, g=8 and b=  3. For the first  case, we replace the first  marble before drawing the second,  the total number of marble =  5 + 8 + 3 = 16. So, the probability of drawing a red marble at the 1st attempt is: 5/16. Then, the first marble is replaced back into the bag before making the second draw. Probability of drawing green marbles at the second draw is: 8/16= 1/2, Therefore the probability of selecting a red, then a green marble is: 5/16 * 1/2 = 5/32 =0.1563

For the second case , we do not replace the first marble, the probability of drawing a red marble at the 1st draw is:5/16 . Since we don't replace the balls  so the number of marbles remaining in the bag is: 16-1 =15 ,the probability of drawing green marbles at the second draw is: 8/15, therefore the combined probability of selecting a red, then a green marble is: 5/16 * 8/15  =0.1667

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Answer:

(2x+3y)(x2+3x+2). it may helps you

Answer:

\(\tt 2x^3+3x^2y+6x^2+9xy+4x+6y\)

Step-by-step explanation:

\(\tt x^2(2x + 3y) + 3x (2x + 3y) +2 (2x + 3y)\)

Expand by distributing terms:-

\(\tt 2x^3+3x^2y+3x(2x+3y)+2(2x+3y)\)

Expand by distributing terms:-

\(\tt 2x^3+3x^2y+6x^2+9xy+4x+6y\)

~