You get a job working at a restaurant. You earn $7 per hour and between $100 and
$300 in tips per week.
Your first week you worked 35 hours and earned $150 in tips. How much was your total
weekly earnings?

Answer:

R theta 1 = 20 x

R theta 2 = 11 x  - 6

R ( theta 1 + theta 2) = 31 x - 6     adding equations

R pi = 31 x - 6       since theta 1 + theta 2 = 180 deg

x = (R pi + 6)  / 31

This equation depends only R

If one lets R be one then   x = (pi + 6) / 31

This would give x = .29489 rad for the value of pi is deg

The numerical value of x appears to depend on the value of R

The total amount of money earned by Nora salary over the 21 years is approximately $1,848,000.

To find the total amount of money earned by Nora over 21 years, we need to calculate the salary for each year and then sum them up.

In the first year, Nora's salary is $40,000.

In the second year, her salary will be increased by 3%, so it will be:

$40,000 + 3% of $40,000 = $40,000 + $1,200 = $41,200.

In the third year, her salary will again increase by 3%, so it will be:

$41,200 + 3% of $41,200 = $41,200 + $1,236 = $42,436.

We can continue this process for each year, adding 3% of the previous year's salary to calculate the next year's salary.

To calculate the total amount of money earned over the 21 years, we need to sum up the salaries for each year. Here's the calculation:

Total = $40,000 + $41,200 + $42,436 + ... (21 terms)

To simplify the calculation, we can use the formula for the sum of an arithmetic series:

Total = (n/2) * (2a + (n - 1)d)

where:

n = number of terms (21 in this case)

a = first term ($40,000)

d = common difference (3% of the previous year's salary)

Plugging in the values:

Total = (21/2) * [2(40,000) + (21 - 1)(0.03)(40,000)]

Simplifying further:

Total = (21/2) * [80,000 + 20(0.03)(40,000)]

= (21/2) * [80,000 + 2,400(40,000)]

= (21/2) * [80,000 + 96,000]

= (21/2) * 176,000

= 21 * 88,000

= 1,848,000

Therefore, the total amount of money earned by Nora salary over the 21 years is approximately $1,848,000.

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Answer:

x=16

Step-by-step explanation:

Both angles are verically opposite angles

so

4x+21=85

4x=85-21

4x=64

x=16

Answer:

3/4 miles

Explanation:

To know how long the road's total section, we need to multiply the number of workers by the miles that each one resurfaces. So:

Therefore, the total section was 3/4 miles

Answer:

152%

Step-by-step explanation:

hope this helps!

please mark me as brainliest! thanks!

Answer:

THE 2 ONE

Step-by-step explanation:

Answer:

y-intercept: (0, 1)

x-intercept: (1, 0)

an x-intercept is when a line crosses the x-axis, and a y-intercept is when a line crosses the y axis.

Answer:

I believe it would be -3,4.

Step-by-step explanation:

To find slope you use rise over run, where you count up first, then go to the side. If you count down on the left you count 3 boxes, but since its going down its negative. And to get the run you count over 4. Meaning it's -3,4

The probability of pulling out a blue ball is 1/3

This is a likelihood or chance that an event will occur. Mathematically:

Probability = Expected/Total outcome

If someone randomly reaching into a bag of 8 red table tennis balls and 4 blue table tennis balls, the total outcome is:

Total outcome = 8 + 4 = 12 balls

If a blue ball is pulled out then the probability of pulling it out is:

Pr(blue ball) = 4/12 = 1/3

Hence the probability of pulling out a blue ball is 1/3

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The regression analysis suggests a positive and significant relationship between advertising and sales. However, it is important to note that regression analysis cannot establish causation, and other factors may also influence sales.

The given information shows the results of a simple linear regression analysis between sales data (y in $1000s) and advertising data (x in $100s). The regression equation is Y = 12 + 1.8x, which means that for every $100 increase in advertising, sales are expected to increase by $1800.

The sample size is n = 17, which represents the number of observations used to calculate the regression line. The sum of squares due to regression (SSR) is 225, which indicates the amount of variation in sales that is explained by the linear relationship with advertising. The sum of squares due to error (SSE) is 75, which represents the amount of variation in sales that cannot be explained by the linear relationship with advertising.

The estimated slope coefficient (b1) is 0.2683, which indicates that for every $100 increase in advertising, sales are expected to increase by $26.83 on average. This slope coefficient can be used to make predictions about sales based on different levels of advertising.

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The regression analysis suggests that there is a positive relationship between advertising and sales and that advertising is a significant predictor of sales variability.

Based on the information provided, we can interpret the results as follows:

1. Regression equation: Y = 12 + 1.8x
This equation represents the relationship between sales (Y in $1000s) and advertising (X in $100s). The slope (1.8) shows that for every $100 increase in advertising, sales will increase by $1800.

2. Number of data points: n = 17
This indicates that the dataset consists of 17 sales and advertising data pairs.

3. Sum of Squares Regression (SSR) = 225
This represents the variation in sales that is explained by the advertising data. A higher SSR indicates a stronger relationship between advertising and sales.

4. Sum of Squares Error (SSE) = 75
This represents the sales variation that the advertising data does not explain. A lower SSE indicates a better fit of the regression model to the data.

5. Standard error of the regression slope (Sb1) = 0.2683
This measures the precision of the estimated slope (1.8) in the regression equation. A smaller Sb1 indicates a more precise estimate of the slope.

In conclusion, the regression analysis suggests a positive relationship between sales and advertising data, with an increase in advertising leading to an increase in sales. The model explains a significant portion of the variation in sales, and the estimated slope is relatively precise.

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The required answer is 0.0062 (rounded to four decimal places).

To determine the P-value of the test statistic, we need to perform a hypothesis test. The null hypothesis (H0) would be that the percentage of uninsured patients is 32%, and the alternative hypothesis (H1) would be that the percentage is under 32%.

To calculate the test statistic, we can use the formula:

Test Statistic = (Observed Proportion - Expected Proportion) / Standard Error

The observed proportion is the proportion of uninsured patients in the sample, which is 40/160 = 0.25. The expected proportion is 0.32, as stated in the null hypothesis.

To calculate the standard error, use the formula:

Standard Error = √(Expected Proportion * (1 - Expected Proportion) / Sample Size)

In this case, the sample size is 160.

Plugging in the values,

Standard Error = √(0.32 * (1 - 0.32) / 160) ≈ 0.028

Now, we can calculate the test statistic:

Test Statistic = (0.25 - 0.32) / 0.028 ≈ -2.50

To determine the P-value,  to compare the test statistic to a standard normal distribution. Since the alternative hypothesis is that the percentage is under 32%, we are interested in the left-tailed area under the curve.

Using a Z-table or calculator, the area to the left of -2.50 is approximately 0.0062.

Therefore, the P-value of the test statistic is approximately 0.0062 (rounded to four decimal places).

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We have proven that the expression (36⁵ - 6⁹)(38⁹ - 38⁸) is divisible by both 30 and 37.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

To prove that the expression (36⁵- 6⁹)(38⁹ - 38⁸) is divisible by 30 and 37, we need to show that it can be written as the product of 30 and 37 with some integer coefficient.

First, let's look at the factorization of 30: 30 = 2 x 3 x 5.

We can see that 6 is a factor of 36, so we can rewrite 36^5 as (6²)⁵. Similarly, we can write 6⁹ as (6²)⁵ x 6³.

Now, let's factor out (6²)⁵ from the first factor in the expression:

(36⁵ - 6⁹) = (6²)⁵ (6⁵ - 6³)

We can factor out 38⁸ from the second factor in the expression:

(38⁹ - 38⁸) = 38⁸ (38 - 1)

So the original expression can be written as:

(36⁵ - 6⁹)(38⁹ - 38⁸) = (6²)⁵ (6⁵ - 6³) 38⁸ (38 - 1)

Now, let's look at the factorization of 37. We can see that 38 - 1 = 37, so we can rewrite the expression as:

(6²)⁵(6⁵ - 6³) 38⁸ (38 - 1) = (2⁵ x 3⁵) (6³) 38⁸ (37)

We can see that the expression contains a factor of 2⁵, a factor of 3⁵, and a factor of 37, so it is divisible by both 30 and 37.

Therefore, we have proven that the expression (36⁵ - 6⁹)(38⁹ - 38⁸) is divisible by both 30 and 37.

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Answer:

4

I multiplyed them all by two and then added them to see f it equaled 12 and it did

The diameter of the circle is 28 inches.

Formula for the area of a circle is:

A = πr²

Where A represents the area, r denotes the radius, and π is a mathematical constant approximately equal to 3.14.

To find the diameter of the circle, we can use the formula:

D = 2r

in the given formula D is the diameter and r is the radius.

We know that the area of the circle is 615.44 sq. inches. So, we can use the area formula to find the radius:

615.44 = πr²

615.44 = 3.14r²

r² = 615.44/3.14

r² = 196

r = √196

r = 14

Now that we know the radius is 14 inches, we can use the diameter formula to find the diameter:

D = 2r

D = 2(14)

D = 28

Therefore, the diameter of the given circle is 28 inches.

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The x- and y-intercepts of the function both are zero which represents when sold 0 tickets are, the value of sales is 0 and when the value of sales is 0, the number is 0.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The relationship between the quantity of Fun Pass tickets sold and the amount of the overall sales are represented on the given graph.

Positive and negative functions are performed here, and the meanings are interpreted in the context of the situation.

Therefore, the x- and y-intercepts of the function are zero which represents when sold 0 tickets are, the value of sales is 0 and when the value of sales is 0, the number is 0.

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Answer:

a > 4

Step-by-step explanation:

\(6a > 20 + a \\ collect \: like \: terms \\ 6a - a > 20 \\ then \: add \\ 5a \: > 20 \\ divide \: both \: sides \: by \: 5 \\ \frac{5a}{5} > \frac{20}{5} \\ a > 4 \)

Answer:

-12y -15z

Step-by-step explanation:

3(-4y)= -12y

3(-5z)= -15z

Answer:

D. -12y -15z

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer = 6 oranges

.39 x 6 = $2.34

The number of oranges Boubacar buys is 6 oranges

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The number of oranges a grocery store sells at $ 3.12 = 8 oranges

The number of oranges a grocery store sells at $ 1.00 =
The number of oranges a grocery store sells at $ 3.12 / 3.12

The number of oranges a grocery store sells at $ 1.00 = 8 / 3.12

Now ,

The number of oranges a grocery store sells at $ 2.34 = The number of oranges bought by Boubacar

The number of oranges a grocery store sells at $ 2.34 = ( 8 / 3.12 ) x 2.34

So ,

The number of oranges bought by Boubacar = ( 8 / 3.12 ) x 2.34

                                                                           = 8 x 0.75

                                                                           = 6 oranges

Hence , the number of oranges Boubacar buys is 6 oranges

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Answer:

a² - b² = (a+b)(a-b)

Step-by-step explanation:

= 2x² - 7x²

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

Answer:

-5x²

Step-by-step explanation:

combine like terms in 2x²-7x²

Answer: 30%

Step-by-step explanation:

Given: Cupcakes have sprinkles = 15

Cupcakes didn't have sprinkles = 35

Total cupcakes = 15+35 = 50

The percentage of the cupcakes had sprinkles = \(\dfrac{\text{Cupcakes have sprinkles}}{\text{Total cupcakes}}\times100\)

\(=\dfrac{15}{50}\times100\\\\= 30\%\)

Hence, the percentage of the cupcakes had sprinkles = 30%

Answer:

the slope is 23

Step-by-step explanation:

Answer:

Step-by-step explanation:

120 : 30

ivans get £90 more

The power of substitutes is one of the five forces in Porter's Five Forces framework and it is a measure of how easy it is for customers to switch to alternative products or services. The higher the power of substitutes, the more competitive the industry and the lower the profitability.

The power of substitutes is based on the premise that when there are readily available alternatives to a product or service, customers can easily switch to those alternatives if they offer better value or meet their needs more effectively. This poses a threat to the industry as it reduces customer loyalty and puts pressure on pricing and differentiation strategies.

The availability and quality of substitutes influence the degree to which customers are likely to switch. If substitutes are abundant and offer comparable or superior features, the power of substitutes is strong, increasing the competitive intensity within the industry. On the other hand, if substitutes are limited or inferior, the power of substitutes is weak, providing more stability and protection to the industry.

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If k = 2/3, the two lines will be parallel and the system of linear equations will have no solutions.

An equation is a mathematical assertion in which the algebraic expression is separated by an equal symbol (=). Equations of degree 1 are linear equations. It is the straight line's equation. When values are replaced for the unknown values in linear equations' solutions, the equation is proved to be true. There is only one answer when there is only one variable.

We can solve this problem using the concept of parallel lines in the coordinate plane. If two lines are parallel, they will never intersect and therefore have no solutions in common.

To determine if the system of linear equations has no solutions, we need to check if the lines represented by the equations are parallel. To do this, we can rewrite the equations in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept:

(k-1)x - y = 5 --> y = (k-1)x - 5

(k + 1) + (1 - k)y = (3k + 1) --> y = (-k/2) + ((3k + 2)/2)

Comparing the slopes of the two lines, we can see that they are parallel when k - 1 = -k/2, since the slopes of the lines are k - 1 and -k/2, respectively.

Simplifying the equation k - 1 = -k/2, we get:

2k - 2 = -k

Adding k to both sides, we get:

3k - 2 = 0

Adding 2 to both sides, we get:

3k = 2

Dividing both sides by 3, we get:

k = 2/3

Therefore, if k = 2/3, the two lines will be parallel and the system of linear equations will have no solutions.

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Answer: B

Step-by-step explanation:

Let's convert all of the equations into slope-intercept form:

\(y = mx + b\)

A:

\(y - 6 = \frac{-3}{5}(x + 5)\)

\(y = \frac{-3}{5}(x + 5) + 6\)

\(y = \frac{-3}{5}x - 3 + 6\)

\(y = \frac{-3}{5}x + 3\)

B:

\(y + 5 = \frac{-3}{5}(x - 6)\)

\(y = \frac{-3}{5}(x - 6) - 5\)

\(y = \frac{-3}{5}x + \frac{18}{5} - 5\)

\(y = \frac{-3}{5}x - \frac{7}{5}\)

Since D is already equal to A, and B is not equal to either of these, we can skip reducing down C and say that B is not like the others.

But in case you're interested:

C:

\(3x + 5y = 15\)

\(5y = -3x + 15\)

\(y = \frac{-3}{5}x + 3\)

To educate a patient on how to judge the appropriate size of a serving of chicken or lean beef, a good estimate of a 3-ounce serving size is a typical deck of cards or the palm of their hand. This will help them make healthy choices and keep track of their portions. So, a good estimate of a 3-ounce serving size is a typical deck of cards or the palm of your hand.

A serving size is a standardized amount of food or drink that is intended to make it easier for people to compare the nutritional content of different products and understand how much they are consuming. A serving size might be listed on a food label or recommended as part of a healthy eating plan or diet.

The recommended serving size for different foods and beverages can vary depending on several factors, including a person's age, sex, and physical activity level, as well as the nutrient content of the food or drink.

For example, a serving of fresh vegetables might be 1 cup, while a serving of meat, poultry, or fish might be 3 ounces. A good estimate of a 3-ounce serving size is a typical deck of cards or the palm of your hand. This can help you make healthy choices and keep track of your portions.

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An equation highlighting the discount: y = (65 - 7)x

A simpler equation: y = 58x

V + F = E + 2

If V=12 and F=8 Find E:

We have to replace the values given of V and F IN THE EXPRESSION:

12 + 8 = E+2

Now, we simply have to solve for E:

12+8 -2 =E

18=E

E=18

The measure of the missing side length of the right triangle is approximately 32.1.

The figure in the image is a right triangle.

From the image:

Angle θ = 0.646 rad

Opposite to angle θ = 19.3

Hypotenuse =?

To solve for the missing side length, we use the trigonometric ratio.

Note that: sine = opposite / hypotensue

Plug the given values into the above formula and solve for the hypotenuse.

sin( θ ) = opposite / hypotenuse

sin( 0.646 rad  ) = 19.3 / hypotenuse

Hypotenuse = 19.3 / sin( 0.646 rad  )

Hypotenuse = 32.1

Therefore, the hypotenuse measures 32.1 units.

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