At the restaurant, the cost of the meal before tax was
$40. The tax is 8.5%, and Sheri wants to leave at least
an 18% tip. Explain how to approximate the total cost of
the meal.

Charlie travelled greater amount of time.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

D(t) = 60 |t- 3|

for, t=0

D(0) = 60*3 = 180

For t=1,

D(1) = 120

For t= 2

D(2) = 60

According to the data of Charlie and Annabeth it can bee seen that charlie had been travelling greater amount of time.

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Answer:

Charlie!

Step-by-step explanation:

The order of operations says that operations must be done in the following order: parentheses, exponents, multiplication, division, addition, and subtraction.

In this question we have the following expression:

First, we calculate within the parentheses:

So, the value is 555.

The solution of the system of equations is (x, y) = (-2, 1).

What is the substitution procedure?

The substitution approach involves solving one equation for each variable in a system of equations and then substituting the solution into the other equation (s).

This enables us to simplify the system to a single equation with a single unknown, which can then be resolved by algebraic methods. When one of the equations can be quickly solved for one of the variables, the approach of substitution is advantageous.

The given expression is:

−2x + 3y = 7

y = 3x + 7

substitute y = 3x + 7 into the first equation and solve for x:

-2x + 3(3x + 7) = 7

-2x + 9x + 21 = 7

7x = -14

x = -2

Substituting x = -2 into y = 3x + 7, we get:

y = 3(-2) + 7

y = 1

Hence, the solution of the system of equations is (x, y) = (-2, 1).

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What is the solution of the given equation-

−2x + 3y = 7 y = 3x + 7

Answer:

3612

Step-by-step explanation:

multiple. means 3 1 ja so

The equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.

To find the equation of the line perpendicular to y=1/2x-1, we need to determine its slope. We can recall that the slope of a line in slope-intercept form, y = mx + b, is given by m, the coefficient of x. So in the given equation y=1/2x-1, the slope is 1/2.

The slope of a line perpendicular to this line will be the negative reciprocal of the slope, which means it will be -2. To see why this is true, remember that the product of the slopes of two perpendicular lines is always -1. So if the slope of the original line is m, the slope of the perpendicular line will be -1/m.

Now that we know the slope of the perpendicular line is -2, we can use the point-slope form of the equation of a line to find its equation. The point-slope form is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

We are given a point on the perpendicular line, (5, 6), so we can substitute that into the equation and also substitute in the slope, -2:

y - 6 = -2(x - 5)

y - 6 = -2x + 10

y = -2x + 16

Hence, the equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.

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Answer: y = -5x + 6

Step-by-step explanation:

(1, 1), (2, -4), and (0, 6) are the points on your graph

slope (m) = (y2 - y1) / (x2 - x1)

m = -4 - 1 / 2 - 1 = -5/1 = -5

y = mx + b

y = -5x + b

(0,6) would be your y-intercept because it is on the y-axis

in y = mx + b, b is always the y-intercept

y = -5x + 6

* you can also plug (1, 1) or (2, -4) into y = -5x + b and solve for b

The correct image include the following: B. Green: image A.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

By applying a rotation of 270° clockwise about the point (1, 2) to the coordinate of the vertices of blue block D, the coordinate the vertices of of its image would be located at the position of the Green: image A.

In this context, we can reasonably infer and logically deduce that Green: image A is the correct transformed shape.

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Answer:

It's the first one: 7 to the fourth over 3 to the tenth.

Step-by-step explanation:

Answer:

I think it is the first one

Step-by-step explanation:

Answer:

A'(2, 3)

Step-by-step explanation:

When a point is reflected across the x-axis, its y-coordinate is negated while its x-coordinate remains unchanged.

Therefore, reflecting point A(2,-3) across the x-axis results in a new point with the same x-coordinate but a negated y-coordinate:

A'(2, 3)

So the coordinates of the reflected point A' are (2, 3).

Answer:

583.3

Step-by-step explanation:

Answer: We can use the information given to find the number of stars in the universe by multiplying the number of galaxies by the number of stars per galaxy:

number of stars = (10 ^ 11 galaxies) x (10 ^ 11 stars per galaxy)

This is a simple arithmetic problem and we can find the solution by multiplying the numbers 10^11 and 10^11

10^11 * 10^11 = (10101010101010101010)(101010101010101010*10) = 10^(11+11) = 10^22

So, there are estimated to be 10 ^ 22 stars in the known universe.

Step-by-step explanation:

(a) To compute the experimental probability of rolling a 1 or 6 from Latoya's results, we need to determine the number of times a 1 or 6 was rolled and divide it by the total number of rolls Latoya made.

Let's assume that Latoya rolled the dice 100 times and obtained 20 1's and 10 6's. The total number of successful outcomes (rolling a 1 or 6) is 20 + 10 = 30.

Therefore, the experimental probability of rolling a 1 or 6 is 30/100 = 0.3 or 30%.

(b) Assuming the cube is fair, the theoretical probability of rolling a 1 or 6 can be determined by considering the favorable outcomes (rolling a 1 or 6) divided by the total possible outcomes (rolling any number from 1 to 6).

Since there are two favorable outcomes (1 and 6) out of six possible outcomes (1, 2, 3, 4, 5, 6), the theoretical probability is 2/6 = 1/3 or approximately 0.3333.

(c) The correct statement is B. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. This is due to the law of large numbers, which states that as more trials are conducted, the experimental probability tends to converge towards the theoretical probability. However, it is not necessary for them to be exactly equal. Random variations can cause some discrepancy, but with a larger number of rolls, the experimental probability should approach the theoretical probability more closely.

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To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.

Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.

To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.

If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.

By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.

Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.

The time taken to reach her destination while travelling at her initial speed is 2 hours.

To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.

Therefore, the percentage increase in speed

= (30/120) x 100

= 25%.

Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.

To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.

Therefore, the correct answer is 200%.

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Answer: 29.9986-----30.0 degrees

Step-by-step explanation:

x = \(tan^-^1(5.6/9.7)\\\\toa\)

\(\tan(x )=\cfrac{\stackrel{opposite}{5.6}}{\underset{adjacent}{9.7}} \implies \tan^{-1}(~~\tan( x )~~) \approx \tan^{-1}\left( 0.58 \right) \\\\\\ x \approx\tan^{-1}\left( 0.58 \right)\implies x \approx 30.0^o\)

The mean score is 6.48. If we were to give this quiz to more and more students, the mean score for these students would approach 6.48.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

To find the mean score, we need to calculate the expected value of the score. The expected value is calculated by multiplying the score by its probability and summing over all possible scores.

The expected value is:

(5 * 0.06) + (6 * 0.18) + (7 * 0.37) + (8 * 0.22) + (9 * 0.11) + (10 * 0.06) = 6.48

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Answer:

yes

By dividing the difference between each two corresponding data values, we get a constant rate of change.

y = 0.2x + 1.2

Step-by-step explanation:

1. Find the rate of change between each pair of data values in the table and compare to see if they are equal:

  (1.4-1.2)/(1-0) = 0.2/1 = 0.2

  (1.6-1.4)/(2-1) = 0.2/1 = 0.2

  (2-1.6)/(4-2) = 0.4/2 = 0.2

2. Substitute the numbers found in step 1 for m, and the y-value in the data pair (0,1.2) as b in the equation y = mx + b:  y = 0.2x + 1.2

Answer:  x2 + y2. − 4x + 5y − 8=0.

Step-by-step explanation:

Answer:

\(\dfrac{dy}{dx}=\dfrac{1}{2y}\)

Step-by-step explanation:

Given equation:

\(y^2=x\)

Differentiate:

\(\implies y^2\:\dfrac{d}{dx}=x\:\dfrac{d}{dx}\)

\(\implies 2y\:\dfrac{dy}{dx}=1\)

\(\implies \dfrac{dy}{dx}=\dfrac{1}{2y}\)

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

60%

Step-by-step explanation:

They killed quite a bit and a lot were left.

Answer:

$1,951.03.

Step-by-step explanation:

To determine how much money would you have to invest at 7% compounded semiannually so that the total investment has a value of $ 2,090 after one year, the following mathematical calculation must be performed:

X x (1 + 0.07 / 2) ^ 1x2 = 2,090

X x 1,035 ^ 2 = 2,090

X x 1.071225 = 2,090

X = 2,090 / 1.071225

X = 1,951.03

Thus, $ 1,951.03 must be invested at 7% per annum compounded semiannually to have $ 2,090 in the account after one year.

Answer:

D. 6 is 9 less then 15

Step-by-step explanation:

its the only true statement.

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Answer:

I'm pretty sure it would be $13.50

Answer:

$15.75

Step-by-step explanation:

7 divded by 4 = 1.75

Simply take 1.75 and multply it by 9, giving you 15.75

$15.75

The probability of landing on the dark blue target is 2/5.

Probability is the ratio of required to the total possible outcomes of an event.

P(dark blue ) = 40/100

divide through by 20

P(dark blue ) = 2/5

Therefore, the probability of landing on target is 2/5

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Answer:

Mean: 915.6

Mode: (there is none)

Median: $900

Step-by-step explanation:

Answer:

h*g)(5) = h(g(5)) = 29.

Step-by-step explanation:

To find (h*g)(5), we first need to calculate g(5) and h(g(5)), then multiply the two.First, we need to evaluate g(5):g(5) = -2^2 + 2(5) = -4 + 10 = 6Next, we need to evaluate h(g(5)):h(g(5)) = h(6) = 4(6) + 5 = 24 + 5 = 29Therefore, (h*g)(5) = h(g(5)) = 29.