Write the ratio as a fraction in simplest form.

63 : 28

The ratio as a fraction in simplest form is
.

Answer:

- 30

Step-by-step explanation:

Given

f (x) = - x² - 7x

To find : f (- 10)

- x²

= - (- 10)²

= - [ (- 10)×(- 10) ]

= - [ 100 ]

= - 100

- 7x

= - 7 × - 10

= 70

f (- 10) = - 100 + 70

f (- 10) = - 30

Answer:

( 1 5/6+7 1/3) x ( 1 1/5 - 1/10) = 44/15 as an improper fraction, or 2 14/15 as a mixed number.

Step-by-step explanation:

First, let's simplify the mixed numbers by converting them to improper fractions:

15/6 + 7/3 = (15x2)/(6x2) + (7x2)/(3x2) = 30/12 + 14/12 = 44/12

1 1/5 - 1/10 = (5/5 x 1) + 1/5 - 1/10 = 5/5 + 2/10 - 1/10 = 9/10

Now we can perform the multiplication:

(44/12) x (9/10) = (11x4)/(3x2) x (9/10) = 44/6 x 9/10 = (22x2)/3 x 9/10 = 44/15

So ( 1 5/6+7 1/3) x ( 1 1/5 - 1/10) = 44/15 as an improper fraction, or 2 14/15 as a mixed number.

Answer:

\(\frac{605}{60}\) or \(10\frac{5}{60}\)

Step-by-step explanation:

First, convert the mixed fractions to improper fractions:

\((\frac{11}{6} +\frac{22}{3} )*(\frac{6}{5} -\frac{1}{10} )\)

Then find the LCM of the denominators of the first fractions ( 6 ):

\((\frac{11}{6} +\frac{44}{6} )*(\frac{6}{5} -\frac{1}{10} )\)

Then add the numerators:

\((\frac{55}{6} )*(\frac{6}{5} -\frac{1}{10} )\)

After that, find the LCM of the denominators of the second fractions ( 10 ):

\((\frac{55}{6} )*(\frac{12}{10} -\frac{1}{10} )\)

Then deduct the values:

\(\frac{55}{6} *\frac{11}{10}\)

Finally, multiply the values:

\(\frac{605}{60}\) or \(10\frac{5}{60}\)

Answer:

$9.95

Step-by-step explanation:

Answer:

its 9.955

Step-by-step explanation:

39.82÷4

by calculator

To find the third side of an inequality of a triangle, you must first use the Triangle Inequality Theorem.

This theorem states that for any triangle, the sum of any two sides of the triangle must be greater than the third side. This means that in order to find the length of the third side, you must subtract the sum of the two known sides from the smaller of the two sides, then the length of the third side will be equal to the difference between these two numbers. For example, if two sides of a triangle have lengths of 4 and 3, the third side must be greater than 1 (4 + 3 = 7 and 4 - 3 = 1). Therefore, the length of the third side must be greater than 1.

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The correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E. Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:

Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:

She will be receiving a 2% raise per year. Her salary will increase $14,000 every year. The percent increase of her salary is 120% every year. Her salary is always 0.2 times the previous year's salary. The percent increase of her salary is 20% every year.

To calculate the salary of the vice president after n years of becoming a vice president, we use the given formula:

S(n) = 70000(1.2)

S(n) = 84000

The salary of the vice president after one year of becoming a vice president: S(1) = 70000(1.2)

S(1) = 84000

The percent increase of her salary is: S(n) = 70000(1.2)n

S(n) - S(n-1) / S(n-1) × 100%

S(n) - S(n-1) / S(n-1) × 100% = (70000(1.2)n) - (70000(1.2)n-1) / (70000(1.2)n-1) × 100%

S(n) - S(n-1) / S(n-1) × 100% = 20%

Therefore, the correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E.

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Answer:

Kevin

Step-by-step explanation:

The square is black

The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1)    (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1)         (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1         ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

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The minimum required sample size is 47 as it is very important for safety, the 99% confidence interval needs to have a margin smaller than 0.06.

To estimate the mean tensile strength for roof hangers with a 99% confidence interval margin of 0.06, we can use the formula:

Margin of error = z* (standard deviation / sqrt(sample size))

where z is the z-score for the desired confidence level, which for a 99% confidence interval is 2.576.

Plugging in the given values, we get:

0.06 = 2.576 * (0.25 / sqrt(sample size))

Solving for the sample size, we get:

sample size = (2.576 * 0.25 / 0.06)^2

sample size = 89.59

Rounding up to the nearest whole number, the minimum required sample size is 90.

Therefore, we need to take a sample of at least 90 roof hangers to estimate the mean tensile strength with a 99% confidence interval margin of 0.06.

To estimate the mean tensile strength for roof hangers with a 99% confidence interval and a margin of error smaller than 0.06, you'll need to determine the minimum required sample size.

For a 99% confidence level, the Z-score (critical value) is approximately 2.576.

The known standard deviation is 0.25. The desired margin of error is less than 0.06. Use the formula:

Margin of Error = Z-score * (Standard Deviation / sqrt(Sample Size))

Rearrange the formula to find the sample size:

Sample Size = (Z-score * Standard Deviation / Margin of Error)^2

Sample Size = (2.576 * 0.25 / 0.06)^2

Sample Size ≈ 46.24

Since you cannot have a fraction of a sample, round up to the nearest whole number. The minimum required sample size is 47.

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A 95% confidence interval is wider than a 90% confidence interval and so provides a better estimate of the population mean.

A confidence interval represents the range of values within which the population mean is estimated to lie with a certain degree of confidence. The wider the interval, the more certain we can be that the population mean lies within it. In other words, a 95% confidence interval provides a better estimate of the population mean than a 90% interval because it is wider and therefore more likely to contain the true population mean.

This increased accuracy is particularly important for the city in their budget planning as it allows them to make more informed decisions based on a more reliable estimate of their expected daily income from parking fees.

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In order for the associate to meet her objective of making at least $800, she must sell at least $17,500 worth of jewelry.

We must figure out how many sales are necessary to get that income.

Let's write "S" to represent the sales amount.

The associate's base pay is $450 per week, and she receives a commission of 2% of her sales. Her commission is therefore equal to 0.02S (2% of sales), which can be computed.

The total income must be at least $800 in order for her to fulfill her goal. As a result, we may construct the equation shown below:

Base Salary + Commission ≥ Goal

$450 + 0.02S ≥ $800

Now, we can solve the inequality to find the minimum sales amount:

0.02S ≥ $800 - $450

0.02S ≥ $350

Divide both sides by 0.02 to isolate 'S':

S ≥ $350 / 0.02

S ≥ $17,500

Therefore, In order for the associate to meet her objective of making at least $800, she must sell at least $17,500 worth of jewelry.

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Answer:

 10y + 3x

Step-by-step explanation:

 (4y + 6x) -  3 • (x - 2y)

Answer:

I think it's 10y+3x

Step-by-step explanation:

I search it up :(

Answer: The first answer choice

Step-by-step explanation:

In the first answer choice, the distance increases for two units, then decreases for three units. The distance then increased for 4 units, stayed level for 3 units, and then decrease slowly for 6 units. The graph exactly follows this trend.

The second answer is immediately wrong because it relates the distance between the car and the concert venue. It never mentioned that the car moved, and the venue obviously can't move.

The third answer says that after the first increase/decrease, Tyler went to go text his friends. However, the graph does not show a flat area after the first increase/decrease.

The fourth answer, like the second answer is immediately wrong because homes and schools can't move.

This is my first response, so I hope it was helpful. :D

Answer:

6 weeks

Step-by-step explanation:

Answer:

its easy

Step-by-step explanation:

To write a differential equation that models the rate of change for this rumor spreading situation, we need to consider both the number of students who have heard the rumor (P) and the number of students who have not heard the rumor (200 - P). Let t be the time in minutes since the rumor began to spread.

Since the rate of change is directly proportional to both P and (200 - P), we can express the rate of change as dP/dt = k * P * (200 - P), where k is the constant of proportionality.

The differential equation representing this situation is:
dP/dt = k * P * (200 - P)

This equation models the rate at which the rumor spreads among the 200 students at the dance, considering both the students who have heard the rumor (P) and those who have not (200 - P).

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Answer:

72

Step-by-step explanation:

With 240 meatballs, you could make 80 sandwiches but you only have 72 rolls so that is the most amount you can make.

Answer: 24

Step-by-step explanation:

72x3=216 -240 = 24?

With a down payment of $15,000, an annual income of $90,000, and a 30-year mortgage rate of 5%, you should be able to afford a house with a median price of $350,000 in your area.

To determine how expensive of a house you can afford, we need to consider several factors, including your income, down payment, mortgage rate, and the median house price.

First, let's calculate the loan amount. Subtracting your down payment of $15,000 from the median house price of $350,000 gives us a loan amount of $335,000.

Next, we need to calculate your monthly mortgage payment. To do this, we will use the 30-year mortgage rate of 5%. Converting this annual rate to a monthly rate, we get 0.05/12 = 0.0042.

Using an online mortgage calculator, we can determine that the monthly mortgage payment for a $335,000 loan at a 5% interest rate is approximately $1,794.

To determine how much you can afford, we need to consider your income. Assuming an annual income of $90,000, we can estimate your monthly income by dividing it by 12, which gives us $7,500.

As a general rule, lenders typically recommend that your monthly mortgage payment should not exceed 28% of your monthly income. In your case, 28% of $7,500 is $2,100.

Since your estimated monthly mortgage payment of $1,794 is below $2,100, you should be able to afford a house with a median price of $350,000, given your income, down payment, and mortgage rate.

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Answer:

$0.62

Step-by-step explanation:

1.24/2=0.62

1 gallon- 4 pint

0.5 gallon- 2 pint

Dominic receives 12 pounds on an item whose usual price is 80 pounds

The given parameters are:

Discount =15%

Price = p

Amount of discount = d

The equation that represents the amount of discount offered (d) on an item whose usual price is p is

d = Discount * p

This gives

d = 15% * p

Evaluate

d = 0.15p

In (a), we have

d = 0.15p

Here, p = 80

So, we have

d = 0.15 * 80

Evaluate

d = 12

Hence, Dominic receives 12 pounds on an item whose usual price is 80 pounds

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Answer:

If the store is offering a discount of 15% off the usual price

the equation is \(D=0.15p\)

Dominic gets a £12

discount on an item whose usual price i

Johnny can improve his meal in 6 different ways by choosing two condiments from his four options. Some examples of the different combinations include ketchup and salt, ketchup and pepper, salt and pepper, and so on.

To determine the number of different ways Johnny can improve his meal using condiments, we can use the concept of combinations.

Since Johnny can only make two additions to his meal, we need to find the number of combinations of condiments he can choose from his four options: ketchup, salt, pepper, and shredded cheese.

To calculate the number of combinations, we can use the formula for combinations:
nCr = n! / (r! * (n - r)!)

Where n represents the total number of items and r represents the number of items to be chosen.

In this case, n is 4 (since Johnny has four condiment options) and r is 2 (since Johnny can only make two additions).

Plugging these values into the formula, we get:

4C2 = 4! / (2! * (4 - 2)!)

Simplifying this expression:

4C2 = 4! / (2! * 2!)

The exclamation mark (!) represents the factorial operation, which means multiplying a number by all positive integers less than itself down to 1.

Calculating the factorials:
4! = 4 * 3 * 2 * 1 = 24
2! = 2 * 1 = 2

Substituting these values back into the equation:
4C2 = 24 / (2 * 2)

Simplifying further:
4C2 = 24 / 4

Finally, dividing:
4C2 = 6

Therefore, Johnny can improve his meal in 6 different ways by choosing two condiments from his four options. Some examples of the different combinations include ketchup and salt, ketchup and pepper, salt and pepper, and so on.

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The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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Answer:

D

Step-by-step explanation:

using the cosine ratio in the right triangle

cos ABC = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AB}\) = \(\frac{3}{9}\) = \(\frac{1}{3}\) , then

∠ ABC = \(cos^{-1}\) ( \(\frac{1}{3}\) ) ≈ 70.53° ( to 2 dec. places )

In conclusion, changing one score can have an impact on both the mean and the standard deviation of a set of data. The extent of the influence depends on the deviation of the changed score from the original mean.

Changing one score can have an impact on both the mean and the standard deviation of a set of data. The mean is the average of all the scores, so if one score changes, it can affect the overall mean. The standard deviation, on the other hand, measures the deviation of each score from the mean. If one score changes, it can also affect the standard deviation, as the deviation of that score from the mean will be different.

For example, let's say we have a set of scores: 2, 4, 6, 8, 10. The mean of these scores is 6, and the standard deviation is 2.86. If we change the score of 2 to a 12, the new set of scores will be 12, 4, 6, 8, 10. The new mean will be 8, and the new standard deviation will be 2.94. As you can see, changing one score influenced both the mean and the standard deviation.

In conclusion, changing one score can have an impact on both the mean and the standard deviation of a set of data. The extent of the influence depends on the deviation of the changed score from the original mean.

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Answer:

\(4 \frac{1}{7} \)

Step-by-step explanation:

\( \frac{36}{7} - \frac{ 3}{5} - \frac{4}{10} \\ \\ lcm \: \: is \: \: 70 \\ \\ \frac{360 - 42 - 28}{70} \\ = \frac{290}{70} \\ = \frac{29}{7} \\ = 4 \frac{1}{7} \)

hope this helps you.

Can I have the brainliest please?

The standard deviation of the given data set, {12, 12, 12, 12, 12, 12, 12}, is zero. This is because the deviation of every value from the mean is zero. Therefore, the standard deviation of the given data set is zero.

In statistics, the standard deviation (SD) is a measure of how much the data is spread out from the mean, or how much the data deviates from the average value. It is calculated by finding the square root of the variance.Variance (σ2) is a measurement of the degree to which a set of data deviates from the mean. In other words, variance is a measure of how much the data is spread out. It is defined as the average of the squared differences from the mean.The formula for calculating the variance is

:σ2 = Σ(x - μ)2/N

where Σ represents the sum, x is the value of the observation,

μ is the mean of the observations, and

N is the total number of observations.

The standard deviation formula is the square root of the variance.

Therefore,σ = √σ2 = √Σ(x - μ)2/N

The given data set is {12, 12, 12, 12, 12, 12, 12}.

The mean of this data set is:(12+12+12+12+12+12+12) / 7 = 12

The deviation of every value from the mean is zero. Therefore, the variance of the given data set is zero. The standard deviation formula is the square root of the variance. Therefore, the standard deviation of the given data set is zero.

The standard deviation of the given data set, {12, 12, 12, 12, 12, 12, 12}, is zero.

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Therefore, The relationship of the fluxions using Newton's rules for the given equation y^2-a^2-x√(a^2-x^2 )=0 is that the first two fluxions involve both y and z, while the third fluxion only involves y.

In order to find the relationship of the fluxions using Newton's rules for the given equation, we first need to rewrite it in terms of z. So, substituting x√(a^2-x^2 ) with z, we get y^2-a^2-z=0.

Now, let's find the first three fluxions using Newton's rules:
f(y^2-a^2-z) = 2ydy - 0 - dz
f'(y^2-a^2-z) = 2ydy - dz
f''(y^2-a^2-z) = 2ydy
From the above equations, we can see that the first and second fluxions involve both y and z, while the third fluxion only involves y.

Therefore, The relationship of the fluxions using Newton's rules for the given equation y^2-a^2-x√(a^2-x^2 )=0 is that the first two fluxions involve both y and z, while the third fluxion only involves y.

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Answer:

I Believe it is A sorry if i`m wrong

Step-by-step explanation:

Answer:

D). Alternate Interior Angles formed by parallel lines are congruent.

Step-by-step explanation: