You get a part-time job earning $8. 60/hr. Tips are $3. 25/hr on average. Deductions are FICA (7. 65%), federal tax withholding (11. 2%), and state tax withholding (7. 45%). You work for 15 hours. What is your gross base pay? $121. 48 $129. 00 $104. 91 $119. 30

Answer:

33

Step-by-step explanation:

From the data points given the linear equation in slope-intercept form is y = -1/2x + 4.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The first two data points are - (-3,5.5) and (-1,4.5)

The slope-intercept form of the equation is -

y = mx + b

m represents the slope of the linear equation.

To find the value of m use the formula -

(y2 - y1)/(x2 - x1)

Substitute the values into the equation -

(4.5 - 5.5)/[(-1) - (-3)]

Use the arithmetic operation of subtraction -

(-1)/(-1 + 3)

-1 / 2

So, the slope m is m = -1/2

Now, the equation becomes y = -1/2x + b

To find the value of b substitute the  values of x and y in the equation -

5.5 = -1/2(-3) + b

5.5 = 3/2 + b

5.5 = 1.5 + b

b = 5.5 - 1.5

b = 4

So, now the equation becomes - y = -1/2x + 4

The graph for the equation is plotted.

Therefore, the equation is y = -1/2x + 4.

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Answer:

Step-by-step explanation:

= 8x - 4 - 3x =  8x - 3x - 4

= 5x - 4

Using the Fundamental Counting Theorem, it is found that she can choose 180 different meals.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem:

Then:

\(N = n_1n_2n_3 = 3(15)(4) = 180\)

She can choose 180 different meals.

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a. The angular speed is 15.08 radians per day

b. The linear speed is v = 669899 miles per day

The angular speed is given by ω = 2π/T where T = period of rotation

Now, since Jupiter rotates on its axis once every 10 hours, its period T = 10 hours.

We now convert this to days.

10 h × 1 day/24 h = 5/12 days

Since the angular speed ω = 2π/T,

Substituting the value of the period into the equation, we have

ω = 2π/T

ω = 2π/5/12 days

ω = 2 × 12π/5 days

ω = 24π/5 days

ω = 75.4/5 days

ω = 15.08 radians per day

ω ≅ 15 radians per day

So, the angular speed is 15.08 radians per day

The linear speed v = rω where

Since the equator lies on a circle with a diameter of 88,846 miles, its radius, r = 88,846 mi/2 = 44423 mi

So,

Substituting the values of the variables into the equation for the linear speed, we have

v = rω

v = 44423 mi × 15.08 rad/day

v = 669898.84 miles per day

v ≅ 669899 miles per day

So, the linear speed is v = 669899 miles per day

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A stratified random sample is preferred when the population is heterogeneous, ensuring a proportional representation of each subgroup, and allowing for more accurate comparisons and reliable inferences about the population.

When the community under study is heterogeneous, which means it can be broken down into different divisions or sectors, a stratified random sample is usually favored over a basic random sample.

In this situation, a stratified random sample makes it possible for each stratum to be proportionally reflected in the sample, guaranteeing that each subset is properly represented. When analyzing the differences or parallels between various subgroups, this method can be especially helpful.

For instance, a business might want to poll to find out how satisfied customers are with its offerings. They might choose to select a stratified random sample based on customer demographic categories or regions as opposed to a straightforward random sample.

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The question is -

Provide an example of when you might want to take a stratified random sample instead of a simple random sample and explain what the advantages of a stratified random sample might be.

Answer:

depending on the size of graph

Answer:

464.67

sorry if it's wrong

Two triangles are similar if the ratio of their corresponding side equal'

Triangle

Because

Corresponding sides are

Therefore,

Triangle

Answer:

x=5

Step-by-step explanation:

Answer:

(1/2)(32 ft/sec^2)((7 sec)^2)

= (16 ft/sec^2)(49 sec^2)

= 784 feet

Height = 112 feet.

To find the height of the window, we can use the following kinematic equation for motion with constant acceleration:

y = yo + voyt + ½at²

Here, y is the final height of the ball above the ground, yo is the initial height of the ball (which is the height of the window in this case), voy is the initial velocity of the ball (which is 0 because the ball is dropped from rest), t is the time taken for the ball to hit the ground (which is 7 seconds), and a is the acceleration due to gravity (which is 32 ft/s²).

Substituting the values, we have:y = yo + 0 + ½(32)(7)

Simplifying the expression, we get:y = yo + 112

Thus, the height of the window (in feet) is given by:y = 112 feet

Answer: Height = 112 feet

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Answer:

y=4x-1

Step-by-step explanation:

1. Create an equation to for b (y-intercept)

y=4x+b

2. Plug in the x and y values from the point (0,-1)

-1=4(0)+b

3. Solve for b

-1 = b

All together the final equation is y=4x-1

Step-by-step explanation:

I think it's 8.9932×10⁶

Answer:

8,993,200

Step-by-step explanation:

10^3 is 1000

8993.2 * 1000

=

8,993,200

Determine if arithmetic

23 - 18 = 5

18 - 13 = 5

13 - 8 = 5

Adds 5 every time

Starting point 8

y = 8 + 5(n-1)

verify if first is right

1st term

8 + 5(0) = 8

second term

8 + 5(2 - 1) = 8 + 5 = 13

plug in 63

8 + 5(63-1) = 318

Hope this helps :)

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- Jeron

Answer:

20%

32 is 20% out of 160

Answer:

32 is what percent out of 160= 20

Step-by-step explanation:

32/160 * 100

Hope it helps!

Answer:

  (d)  219.80 ft

Step-by-step explanation:

The side opposite the angle is given, and we want to find the side adjacent. The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(20°) = (80 ft)/(distance to sculpture)

This rearranges to ...

  distance to sculpture = (80 ft)/tan(20°) ≈ 219.80 ft

The three statements that describe weight are: B) Changes on different planets. C) Measured in kilograms (although technically weight is usually measured in Newtons).   F) Measured in Newtons.

Weight is the force caused by gravity on an object in mathematics.

It is estimated in Newtons and is relative to an article's mass, with the speed increase because of gravity as the proportionality steady.

Explanation:

Weight is the force that gravity puts on an object.

The weight of an object can change depending on the strength of gravity on different planets or celestial bodies.

Weight is commonly measured in Newtons, which is the SI unit of force. While mass is measured in kilograms, weight is technically measured in Newtons, which is equivalent to the mass multiplied by the acceleration due to gravity.

Option D is incorrect, as the amount of matter in a substance is referred to as mass, not weight.

Option A is incorrect because weight changes with gravity.

Option E is incorrect because even in the absence of gravity, an object still has mass and therefore still has weight, but the weight would be zero because there is no force of gravity acting on the object.

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The equation that models the relationship between the models to show Ethan's employee benefits is y = 14 + 3(x - 1).

The number of paid vacation days Ethan earned was 35 paid vacation days .

Ethan will reach the maximum number of paid vacation days in 7 years.

Let x represent the number of years he has worked for this employer and y represent the number of paid vacation days he has earned.

The equation that models the relationship between x (years worked) and y (paid vacation days earned) is:

y = 14 + 3(x - 1)

Using the equation from part a, we can find out how many paid vacation days Ethan has earned after eight years:

y = 14 + 3(8 - 1)

y = 14 + 3(7)

y = 14 + 21

y = 35

To determine when Ethan will reach the maximum number of paid vacation days, we can set y equal to 30 and solve for x:

30 = 14 + 3(x - 1)

16 = 3(x - 1)

16/3 = x - 1

x = 16/3 + 1

x = 16/3 + 3/3

x = 19/3

x = 7

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Answer:

hope

Step-by-step explanation:

hope

Answer:

each container will hold 0.833 pounds

Step-by-step explanation:

pls mark me brainliest

Answer:

1500

Step-by-step explanation:

1000×6÷4

250×6

1500

The stopping distance of D40 is 2.56 times the stopping distance of D25.

Given that are two initial velocities: 40 mph and 25 mph, with which the car's stopping distance is D40 and D25.

The final velocity for both is 0 mph (as the car to a stops).

We need to compare the stopping distance D40 to the stopping distance D25.

Use the third equation of motion for both cases to get the comparison.

The equation is given by:

\(v^2 - u^2 = 2as.\)

Case 1)

\(0 - 40^2 = 2a(D40)\)

Case 2)

\(0 - 25^2 = 2a(D25)\)

Comparing the obtained expressions.

\(\frac{40^2}{25^2} = \frac{2a(D40)}{2a(D25)}\)

\(2.56 = \frac{D40}{D25}\)

\(2.565 \times D25 = D40\)

Hence the stopping distance of D40 is 2.56 times the stopping distance of D25.

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Answer:

1.271

Step-by-step explanation:

Answer:

2x+4 is the correct answer

Let's say we fit a batch of data to a least-squares regression line. Outliners are points with abnormally high residual values.

Finding the line that "fits" the scatter plot of the data points the best is the technique of linear regression. Given the value of the independent variable, this is typically used to forecast the value of the dependent variable.

Data points or observations that deviate greatly from the majority of the data due to their anomalous separation from the remainder are known as outliers. They must be taken into account since they have a significant impact on the regression line's slope.

As a result, the response is (c) Outliers can easily be detected by linear regression.

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The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

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The average velocity from t = 2s to t = 4s would be - 48 ft/s.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.

Average rate of change of velocity with time is called average velocity. Mathematically -

v{avg.} = Δx/Δt                                                         .... Eq { 1 }

Δx = x(4) - x(2)

Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}

Δx = - 96

Δt = 4 - 2 = 2

So -

v{avg.} = Δx/Δt = -96/2 = - 48 ft/s

Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.

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Answer: −5/4

Step-by-step explanation:

Answer:

x = 75

Step-by-step explanation:

If the lines were parallel, then

the angle on the left of the triangle = 55° ( alternate angles )

The angle at the top of the triangle = 50° ( vertical angles )

x = 180 -(55 + 50) ← sum of angles in a triangle = 180°

x = 180 - 105 = 75

For the lines to be parallel then x = 75

Answer:

75

Step-by-step explanation:

Step-by-step explanation:

n(s) = 6

n(chocolate) = 1

n(almond) = 3

n(butter) = 2

first draw:

P(almond) = 3/6 or 1/2

second draw:

P(almond) = (3-1)/6-1) = 2/5