A line has slope \(-\frac{3}{2}\) and passes through the point (-2, 5).
Find the point-slope formula

We want to find and solve an equation that gives us the amount of money you make in the complete year.

The answer here is $18,525

What we know is:

Then the amount of money that you make each week is:

40*$7.50 + 5*1.5*$7.50 = $366.25

The factor 1.5 in the second term is because overtime is paid one time and a half.

Now, knowing that in one year there are near 52 weeks, the entire year you make 52 times $366.25

52*$366.25 = $18,525

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Answer:

6 miles

Step-by-step explanation:

To find the miles in an hour, we must found the unit rate. A fraction is a division problem, so we would set this up as a fraction. The numerator is the distance, and the denominator is the time it takes to travel the distance.

10.5/1.75=6

7.5/1.25=

4.5/0.75=

Answer:  6 miles

Step-by-step explanation:

Christy went jogging and covered 4.5 miles in 0.75 hr
and in 1.75 hr she covered 10.5
To find distance she covered in 1 hour = 10.5 - 4.5 (because 1.75 hr - 0.75 hr)

:)

The solutions of the given absolute value equation |4/3 x + 2| - 6 = 0 are x = 3 and x = -6.

Absolute value equations are kind of equations which includes the absolute value symbol in the expression.

For example : |x - 5| = 4 is an absolute value equation.

The given absolute value equation is,

four thirds times x plus 2 end quantity minus 6 equals 0.

|4/3 x + 2| - 6 = 0

Isolating the absolute value quantity on one side,

|4/3 x + 2| - 6 + 6 = 0 + 6

|4/3 x + 2| = 6

This can be written as,

4/3 x + 2 = 6 and 4/3 x + 2 = -6

Solving each of these,

4/3 x + 2 = 6

4/3 x = 4

x = 3

4/3 x + 2 = -6

4/3 x = -8

x = -6

Hence the value of x are 3 and -6.

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The probability that the two selected animals are cats in a local animal shelter is 7/40.

Probability theory, the branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it happens, but it can be one of several possible outcomes. Actual results are assumed to be random. The word probability has several meanings in normal speech. Two of these are of particular importance to the development and application of mathematical probability theory. One is the interpretation of probability as relative frequency, exemplified by simple games involving coins, cards, dice, and a roulette wheel.

There are a total of 15 + 9 + 1 = 25 notes inside the hat.

The two names are rendered without replacement, so the possible results are:

25×24=600

Out of 15 ways he can choose 2 of his cats, he has 15 ways, 2 = 105 ways. Probability that his two favorite animals are cats

= 105/600

= 7/40

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Answer:

16/5 or 3 1/5 or 3.2

Step-by-step explanation:

6/15*8

Dividing by 3 on both numerator and denominator,

2/5 *8 = (2*8)/5 = 16/5

At t = 1.5 the height is 119 feet.

Distance is the measurement of an object from a specific point in the horizontal direction, and height is the measurement of an object in the vertical direction.

Without actually measuring the distances, heights, or angles, one of the principal applications of trigonometry is to determine the angles subtended by any object at a particular position, the height of the object, or both.

Given:

A window washer drops a tool from their platform 155 ft high.

and, polynomial =  -16t² + 155 tells us the height, in feet.

Now, the height after after t = 1.5 seconds.

h(t) = -16r² + 155

h(1.5) = -16t² + 155

h(1.5) = -16(1.5)² + 155

h(1.5) = -16(2.25) + 155

h(1.5) = -36 + 155

h(1.5) = 119 feet

Hence, the height is 119 feet.

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To find the number that 495 is 55% of, we can use the percent proportion or percent equation.

Using the percent proportion:

Part/Whole = Percent/100

Let x be the whole (or total) number we are looking for. Then:

495/x = 55/100

We can cross-multiply to solve for x:

49500 = 55x

Dividing both sides by 55:

x = 900

Therefore, 495 is 55% of 900.

Using the percent equation:

Percent * Whole = Part

Let x be the whole (or total) number we are looking for. Then:

55% * x = 495

We can divide both sides by 0.55 to solve for x:

x = 495 / 0.55

Simplifying:

x = 900

Therefore, 495 is 55% of 900.

Answer: 55 %

Step-by-step explanation:

To find the number that $495 is 55% of, we can use the following proportion:

part/whole = percent/100

Let x be the number we are trying to find, then we can write:

495/x = 55/100

To solve for x, we can cross-multiply:

55x = 49500

Dividing both sides by 55, we get:

x = 900

Therefore, $495 is 55% of 900.

Answer:

2z+9

Step-by-step explanation:

(6z+2)+(7-4z)

Combine like term

6z-4z  + 2+7

2z+9

Answer:

X = 5

Step-by-step explanation:

this must form a triangle so simply using the same value of x equally in each equation.

The sample mean variance of the continuous distribution will be 0.3428.

The population variance is equal to the sample size divided by the variance of the sampling distribution of the mean.

14 is the greatest and 1 is the smallest value in a uniform continuous distribution.

36-size samples are taken from the distribution.

Now,

Variance among the population = 14 – 2 = 12

The sample size is 36.

Given that the sample means' variance is defined as;

= Variation in the population / Sample Size

If you replace all the values, you get;

= 12 / 35

= 0.3428

As a result, the sample mean variance will be 0.3428.

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Given a Math exam with 7 short answer questions and Peter intending to answer three of them, there are a total of 35 different combinations of short answer questions he can choose.

To determine the number of combinations, we can use the concept of combinations in combinatorics. The formula for combinations is given by:

C(n, r) = n! / (r! * (n - r)!)

Where:

C(n, r) represents the number of combinations of choosing r items from a set of n items.

n! denotes the factorial of n, which is the product of all positive integers up to n.

In this case, Peter wants to answer three out of the seven questions, so we can calculate it as:

C(7, 3) = 7! / (3! * (7 - 3)!) = 7! / (3! * 4!)

Simplifying further:

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1

3! = 3 * 2 * 1

4! = 4 * 3 * 2 * 1

C(7, 3) = (7 * 6 * 5 * 4 * 3 * 2 * 1) / [(3 * 2 * 1) * (4 * 3 * 2 * 1)]

After canceling out common terms, we get:

C(7, 3) = 7 * 6 * 5 / (3 * 2 * 1) = 35

Therefore, there are 35 different combinations of short answer questions Peter can choose to answer.

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The interest after 20 years will be $950 and the account balance will be $3450.

Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest.

Given that a new bank customer with $2,500 wants to open a money market account. The bank is offering a simple interest rate of 1.9%. The time of the interest is 20 years.

The interest will be calculated as,

SI = ( P x R x T ) / 100

SI = ( 2500 x 1.9 x 20 ) / 100

SI = 500 x 1.9

SI = $950

The account balance will be,

A = $950 + $ 2500

A = $3450

Therefore, the interest after 20 years will be $950 and the account balance will be $3450.

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Answer:

The confidence level is the percentage of times you expect to get close to the same estimate if you run your experiment again or resample the population in the same way. The confidence interval consists of the upper and lower bounds of the estimate you expect to find at a given level of confidence.

Answer:

443

Step-by-step explanation:

2 hours = 120 min

1,920/60= 32 min

120+98+134+32+59= 443 total minutes

Answer:

t one because changing for t is approximately 1

and for kilometers is better you choose 1000

\(3x+4y=12\implies 4y=-3x+12\implies y=\cfrac{-3x+12}{4} \\\\\\ y = \cfrac{-3x}{4}+\cfrac{12}{4}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{4}}x+\stackrel{\stackrel{b}{\downarrow }}{3}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

Answer: Longest side too short

Step-by-step explanation:

32, 42, 52=16, 21, 26

16^2+21^2=26^2

256+441>676

Too Short(woomp, woomp)

Answer:

The width of the jewelry store is 33 feet.

Step-by-step explanation:

To solve the problem, we can use the formula for the perimeter of a rectangle, which is P = 2L + 2W where P is the perimeter, L is the length, and W is the width. Substituting the given values, we get 186 = 2(60) + 2W. Simplifying the right side, we get 186 = 120 + 2W. Subtracting 120 from both sides, we get 66 = 2W. Dividing both sides by 2, we get W = 33.

Therefore, the width of the jewelry store is 33 feet.

No, division over addition does not have a distributive property.

Multiplication has priority over addition in terms of the distributive property. However, the following rule applies when division prevails over addition: A = (B + C + A) + (B + A)

It is one of the most often applied mathematical properties and is also known as the distributive law of multiplication.

You divide anything into portions when you distribute it. The distributive property in mathematics breaks down expressions into the sum or difference of two integers, which makes it easier to solve complex problems.

This concept states that multiplying the sum of two addends by a number will produce the same outcome as multiplying each addend separately by the number and then adding the results.

According to the distributive property, an expression of the form A (B + C) can be resolved as A (B + C) = AB + AC. This distributive law, which is represented as A (B - C) = AB - AC, also applies to subtraction. This indicates that the distribution of operand A among the other two operands.

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Answer:

-3

_________________________

Answer:

-3

Step-by-step explanation:

To solve plugin R and S in the expression. Then you get 12*-4/16. To solve this remember the order of PEMDAS (parentheses, exponents, multiplication, division, addition, and subtraction). So first, multiply 12*-4 to get -48. Next divide that by 16 to get your final answer -3.

The area of the shaded region = 810.66 ft²

What is rectangle?

Area of Shaded region:

(12+2*7)*20 - 12*20 + 3.14*((12+2*7)/2)² =

14*20 + 530.66 =

810.66 ft²

Therefore, the area of the shaded region = 810.66 ft²

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An78swer:

Step-by-step explanation:

The total number of seeds that Josiah would plant would be = nR×S

To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.

Let each row be represented as = nR

Where n represents the number of rows planted by him.

Let the seed be represented as = S

The total number of seeds he planted = nR×S

Therefore, the total number of seeds that was planted Josiah would be = nR×S.

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Answer: d and b i think

Step-by-step explanation:

The functions which have complex roots are b and d.

Complex roots are the imaginary root of polynomial functions. The complex roots are represented as α = a + ib, and β = c + id.

When the quadratic equation have a discriminant value less than zero will have imaginary roots.

Out of the given functions, a ,b, c, d , the function with complex roots are b and d.

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Sam bought a dozen flowers for his mother, spending $24.75 in total. The bouquet consisted of a combination of roses and daisies. The number of each type of flower in the bouquet needs to be determined.

Let's assume Sam bought x roses and y daisies. Since Sam bought a dozen flowers, x + y must equal 12. We can set up an equation to represent the cost of the bouquet: 2.50x + 1.75y = 24.75. This equation represents the total cost of the roses and daisies, which should equal the amount Sam spent.

To find the values of x and y, we can use the equation system consisting of x + y = 12 and 2.50x + 1.75y = 24.75. Solving this system of equations will provide the values for x and y, giving us the number of roses and daisies in the bouquet.

Upon solving the equation system, we find that x = 9 and y = 3. Therefore, Sam had 9 roses and 3 daisies in the bouquet he bought for his mother.

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Answer:

If you need anything just let me know.

Step-by-step explanation:

Hope you have a good day.

Answer : tanθ = sqrt(1 - (910)²) / 910

Given:  that the terminal side of angle θ intersects the unit circle in the first quadrant at (910, y), we can find the value of tanθ using the coordinates.

Explanation:
   Recall that on the unit circle, tanθ = y/x. In this case, x = 910 and y is the unknown value. However, since we are in               the first quadrant, both x and y will be positive.

To find y, we can use the Pythagorean theorem for the unit circle: x² + y² = 1.

Substitute x = 910:
(910)² + y² = 1
y² = 1 - (910)²

Now, since y is positive in the first quadrant, we take the positive square root:
y = sqrt(1 - (910)²)

Finally, find tanθ = y/x:
tanθ = sqrt(1 - (910)²) / 910

the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].

To find the derivative of the function y = (ln(x + 4))x using logarithmic differentiation, we can follow these steps:

Step 1: Take the natural logarithm of both sides of the equation:

  ln(y) = ln((ln(x + 4))x)

Step 2: Use the logarithmic property ln(a^b) = b ln(a) to simplify the right-hand side of the equation:

  ln(y) = x ln(ln(x + 4))

Step 3: Differentiate both sides of the equation implicitly with respect to x:

  (1/y) * y' = ln(ln(x + 4)) + x * (1/ln(x + 4)) * (1/(x + 4))

Step 4: Simplify the expression on the right-hand side:

  y' = y * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]

Step 5: Substitute the original expression of y = (ln(x + 4))x back into the equation:

  y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]

Therefore, the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].

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Answer:

5.436564x^14905