2] The DiPietro family ate at a restaurant.
The cost of the meal was $87.50.
The sales tax was 6% of the cost of the meal.
. They left a tip of 15% of the cost of the meal plus tax.
.
What was the total cost of the meal, tax, and tip?
SHOW WORK PLEASE

The quotient of 462 and 28 is 16.5 when written in decimal notation.

To calculate this, you divide 462 by 28:

462 ÷ 28 ≈ 16.5

The division process involves dividing the digits of the dividend (462) by the divisor (28) and obtaining the result. In this case, the result is approximately 16.5. The decimal point is placed after the digit 5, indicating the presence of a fractional part.

Please note that this is an approximation because the exact result would involve an infinite decimal expansion, which is typically rounded to a certain number of decimal places for practical purposes.

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Answer:

perpendicular slope to line k is 4

Step-by-step explanation:

calculate the slope of line k using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (4, 3 ) and (x₂, y₂ ) = (8, 2 )

m = \(\frac{2-3}{8-4}\) = \(\frac{-1}{4}\) = - \(\frac{1}{4}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{4} }\) = 4

the slope of a line perpendicular to line k is 4

Answer:

first pays 60

Step-by-step explanation:

it's -1/8

Step-by-step explanation:

\( \frac{5}{16} - \frac{7}{16} \)

\( - \frac{2}{16} \)

you can simplify -2/16 to -1/8 because 1/8 is half of 2/16

so yeh.. answer will be

\( - \frac{1}{8} \)

Answer:

1:30

Step-by-step explanation:

$97.50 - $60) divided by $12.50

    37.50 divided by $12.50 = 3

3 hours + 10:30 = 1:30

The d939/dx939 (cos x) is equal to (-1)^939 cos x.

To find d939/dx939 (cos x), we need to compute the first few derivatives of cos x and look for a pattern. The derivative of cos x is -sin x, and the second derivative is -cos x.

Continuing this pattern, we see that the nth derivative of cos x is (-1)^n cos x. Thus, the 939th derivative of cos x is (-1)^939 cos x. This means that the derivative of cos x with respect to x has a pattern of alternating signs and is always equal to cos x.

In summary, by computing the first few derivatives and identifying a pattern, we can determine the 939th derivative of cos x with respect to x.

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While on vacation in Washington DC, the cab ride for the Dulles airport to the hotel is 15 miles. The total cost of the cab ride was $25.50. The cabbie charges $1.50 per mile for the entire trip A.

Answer:

-5/2

Step-by-step explanation:

The region R in the first quadrant bounded by the ellipse \(4x2 + 9y2 = 1\) is a special type of ellipse.  \((x^2)/(a^2) + (y^2)/(b^2) = 1\), where a is the semi-major axis and b is the semi-minor axis. The region R in the first quadrant bounded by the ellipse\(4x2 + 9y2 = 1\) has an area of π/6.

In the given equation, the value of a is 1/2 and the value of b is 1/3. This ellipse is vertically aligned and centred at the origin. Since the region is confined to the first quadrant, it means that both x and y are greater than 0. Therefore, the limits of integration for x and y are 0 to a and 0 to b respectively.

The equation of the ellipse can be rewritten as \(y = ±(1/3)√[1 - 4x^2]\).

The top half of the ellipse is \(y = (1/3)√[1 - 4x^2]\) and

the bottom half is\(y = - (1/3)√[1 - 4x^2]\).

Thus, the integral is: \(∫∫ R 1 dA = ∫0^1 ∫0^(1/3) 1 dy dx,\) which is equal to the area of the ellipse. After integrating, we get the value as (1/2)π(a)(b),

which is equal to \((1/2)π(1/2)(1/3) = π/6.\)

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Answer:120

Step-by-step explanation:

given x= 3 and y= 8,

we have to find the value of 5xy

so let us put the values of x and y in the given expression i.e 5xy.2

= 5×3×8

= 120

 Hence the value of 5 xy is 120.

Answer:

Step-by-step explanation:

If x = 3 and y = 8, then the value of 5xy is simply 5 times the product of x and y.

To find the product of x and y, we simply multiply x and y together:

xy = 3 * 8 = 24

To find the value of 5xy, we simply multiply 5 by the value of xy:

5xy = 5 * 24 = 120

So the value of 5xy when x = 3 and y = 8 is 120

Answer:

homie dont play

Step-by-step explanation:

Answer:

(-5,-8.5)

Step-by-step explanation:

-3-7=-10

-9-8=-17

-10/2=-5

-17/2=8.5

I'm NGL dawg, your comments don't make sense but that's the mid point for (-3,-9) (-7,-8).

Answer:

Step-by-step explanation:

(f+g)(x) = \(-4x + 3 + 3x^{2} + 2x - 4\\\)

           = \(3x^{2} - 2x - 1\)

Answer:

Step-by-step explanation:

Ratio problem, we are going to use the part to all approach

Step one:

given data

the ratio of peanuts to other nuts is 6 to 5

otherwise expressed as 6:5

the total ratio is 6+5= 11

the total number of peanut is 414

let the other nuts be x

6/5=414/x

cross multiply we have

414*5= 6x

2070=6x

divide both sides by 6

x=2070/6

x=345

345 other nuts

Answer: 11/16

Step-by-step explanation:

1 3/8 ÷ 2

1 3/8 = 11/8

11/8 = 22/16

22/16 ÷ 2 = 11/16

1 3/8 divided by 2 = 11/16

Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

Answer:

108 seconds and 0.03 hours

The response variable in this experiment is the length of shots played by the golfers in a subsequent round after wearing the wrist bracelet. So, correct option is C.

This variable is of interest because it measures the potential impact of the wrist bracelet on the golfer's performance.

In this experiment, the independent variable is the type of wrist bracelet worn by the golfer - one with magnets and the other without magnets. The dependent variable, or response variable, is the length of the shots played by the golfer in a subsequent round.

To conduct the experiment, the golfers are randomly assigned to either wear a bracelet with magnets or without magnets. This is done to ensure that there is no bias in the sample and that each group has similar characteristics. The golfers then play normally for a month, and their shots are recorded in a subsequent round.

By comparing the lengths of shots played by the two groups, the golfer can determine if wearing a wrist bracelet with magnets has an impact on their performance. If there is a significant difference between the two groups, it may suggest that the magnets in the wrist bracelet improve balance and the length of shots played off the tee.

So, correct option is C.

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Complete question is:

Many golfers wear wrist bracelets containing magnets because they claim the magnets improve balance and the length of shots played off the tee. A golfer would like to determine if the claim has merit and finds 200 volunteers who play golf to participate in an experiment. Half of the golfers are randomly assigned to wear a bracelet with magnets, while the other half wear a bracelet without magnets. Each golfer plays normally for a month, after which the length of their shots in a subsequent round is recorded.

What is the response variable in this experiment?

a. the age of each golfer

b. the 200 volunteers

c. the length of shots played by the golfers

d. whether the golfers wear or do not wear the bracelet

Answer:

u forgot to add a pic

Step-by-step explanation:

:)

Answer:

-19

Step-by-step explanation:

The bird's change in altitude each second is -19 feet.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A bird descends at a constant speed.

Its altitude changes by -171 feet in 9 seconds.

So, the bird's change in altitude each second

= -171/ 9

= -19

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Answer:

there you see nothing

Step-by-step explanation:

Answer:

there you say nothing to do it for me

The mattress has a total cost of  $24.28

From the question, the given parameters are:

Cost of a mattress = $74.95

Markdown = 70%

Sales tax in oak grove = 8%

Using the sales tax and the markdown, the total cost for the mattress is calculated using

Total cost of mattress = Cost of a mattress * (1 + Sales tax) * (1 - Markdown )

Substitute the known values in the above equation

So, we have the following equation

Total cost of mattress = 74.95 * (1 + 8%) * (1 - 70%)

Evaluate the products

Total cost of mattress = 24.28

Hence, the total cost of the mattress is $24.28

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The sales trend Sales = 181.00 + 2t where t= time in quarters, beginning in Q1 2014The seasonal factors for the four quarters are i.e: {0.9, 1.1, 1.2, 0.8}

To find the seasonalized forecast for Q2 of 2017, the following steps must be followed:

Step 1: Calculate trend for the Q2 of 2017 t = 3.25

Step 2: Determine seasonal factor for Q2 which is 1.1 since it's the second quarter

Step 3: Multiply trend and seasonal factors to get seasonalized trend for Q2 = (181 + 2(3.25)) * 1.1 = 198.95

Step 4: Therefore, the seasonalized forecast for Q2 of 2017 is 198.95.

Therefore, we have Sales = 181.00 + 2t where t is the time in quarters, starting from Q1 2014. In other words, t = 1 for Q1 2014, t = 2 for Q2 2014, and so on.

In addition, we have seasonal factors for each quarter, i.e, {0.9, 1.1, 1.2, 0.8}.

To calculate the seasonalized forecast for Q2 of 2017, we need to follow the following steps:

Step 1: Calculate trend for the Q2 of 2017t = 3.25 [since there are 13 quarters between Q1 2014 and Q2 2017.

The 13th quarter corresponds to Q2 2017. So, t = 13. Therefore, t = 2 + 4(13 - 1) = 3.25]

Step 2: Determine the seasonal factor for Q2 of 2017

The seasonal factor for Q2 of 2017 = seasonal factor for the second quarter = 1.1

Step 3: Multiply trend and seasonal factors to get seasonalized trend for Q2

Therefore, seasonalized trend for Q2 of 2017 = (181 + 2(3.25)) * 1.1 = 198.95Step 4:

Therefore, the seasonalized forecast for Q2 of 2017 is 198.95.

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Answer:

1/4.

Step-by-step explanation:

There are 12 possible outcomes.

There are are 3 outcomes represented by 4B.

So required probability = 3/12 = 1/4.

Cup B will hold approximately 18.8 cubic inches more volume juice than Cup A when both are completely full.

To answer this question, we first need to find the volume of each cup. We are given the dimensions of a cone (Cup A) and a cylinder (Cup B). The formula for the volume of a cone is (1/3)πr^2h, and the formula for the volume of a cylinder is πr^2h.

STEP 1. For Cup A (cone):
  - Radius (r) = width/2 = 2/2 = 1 inch
  - Height (h) = 3 inches
  - Volume = (1/3)π(1)^2(3) = π cubic inches

STEP 2. For Cup B (cylinder):
  - Radius (r) = width/2 = 2/2 = 1 inch
  - Height (h) = 7 inches
  - Volume = π(1)^2(7) = 7π cubic inches

Now, we need to find the difference in volume between Cup B and Cup A:

Difference in volume = Volume of Cup B - Volume of Cup A
                                   = 7π - π
                                   = 6π cubic inches
                                   ≈ 18.85 cubic inches

Rounding to the nearest tenth, the difference is approximately 18.8 cubic inches.

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The time series component that exhibits a repeating pattern over successive periods, often one-year intervals is called the seasonal component.

The seasonal component is that portion of the variations in a time arrangement representing intra-year changes that are more or less steady year after year with regard to timing, direction, and magnitude. The seasonal component is additionally alluded to as the seasonality of a time series. The seasonal component reflects “normal” varieties that repeat each year to the same extent.

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The time series component that exhibits a repeating pattern over successive periods, often one-year intervals is called

A. a cyclical component

B. a trend component.

C. seasonal component.

D. irregular component.

Answer: 0.045%

Step-by-step explanation:

Answer:

2 miles

Step-by-step explanation:

12 mph would be 6 miles in a half hour

8 - 6 = 2 miles

The X value corresponding to z = -2.25 is X = 56.

A z score is a statistical indicator that shows how far a raw score is from a distribution's mean. Give the z-score formula. The z-score is calculated using the formula z = (x -μ)/σ.

To find the corresponding X value for a given z-score, we use the formula:

X = µ + (z * σ)

Given µ = 65, σ = 4, and z = -2.25, we can calculate the X value:

X = 65 + (-2.25 * 4)

X = 65 - 9

X = 56

Therefore, the X value corresponding to z = -2.25 is X = 56.

The correct answer is b. X = 56.

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Answer:

ok, the y intercept is 0.9

Step-by-step explanation:

what are the dropdowns