Hamdan just finished Go Karting at MBZ Sports center, he is hungry and would like to get some Pizza, MBZ sports center’s co-ordinates are (9,6) The closest Pizza restaurants are Papa Johns at (3,4) and Dominoes at (5,2), which restaurant is the closest to his location?

Answer:

21 + 2c

Step-by-step explanation:

-3 + 7 + 7 + 10 = 21

c + c = 2c

The total percentage increase in the investor's stock account is 0.17%.

Total percentage increase in

Let us total the amount in the stock account

Company A was worth $2500.

Company B was worth $3600.

Total = $5180

when the stock in Company A increased by 23%  she will have

$2500 *0.23=  $575

Company A will worth $3075

when The stock in Company B increased by 14%  she will have

$3600 *0.14=  $514

Company B will worth  $3086

In all after the decline in are portfolio is $3075+$3086= $6161

The difference for the original amount in her investment is = $3086-$3075 = $11

The total percentage decrease in the investor's stock account

= (11/6161)*100 = 0.147*100 = 0.17%

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Answer:

y = -3x-4

Step-by-step explanation:

First we find the slope

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

   = (-16 - -7)/(4-1)

   = (-16+7) /3

   = -9/3

  = -3

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -3x+b

Using a point

-10 = -3(2)+b

-10 = -6+b

-10+6 = b

-4 = b

y = -3x-4

Option C resembles the "irony" mentioned in line 34: An athlete earning a starting position on a good team, only to quit in midseason.

Comprehension passages are sure-shot scoring questions. The questions are to be answered by using the data given in the passage, even if it differs from real-life facts.

Now,

Hence, Option C is the most appropriate choice, i.e., Option C resembles the "irony" mentioned in line 34: An athlete earning a starting position on a good team, only to quit in midseason.

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the function has no holes, taht means the domain is ALL REAL NUMBERS!

The probability that 3 of the next 5 days have two accidents is approximately  0.225. We can use the Poisson distribution to model the number of traffic accidents on each day, with a mean of 2. Let X be the number of accidents on a single day, then X ~ Poisson(2).

(a) To find the probability that 3 of the next 5 days have two accidents, we can use the binomial distribution since we are interested in the number of successes (days with two accidents) in a fixed number of trials (5 days). Let Y be the number of days with two accidents in 5 days, then Y ~ Binomial(5, P), where P is the probability of having two accidents on a single day.

Since X ~ Poisson(2), we know that P(X = 2) = e^(-2) * 2^2 / 2! = 0.2707 (using the Poisson probability formula). Therefore, P = 0.2707 is the probability of having two accidents on a single day.

Using the binomial probability formula, we can find the probability of having exactly 3 days with two accidents in 5 days:

P(Y = 3) = (5 choose 3) * 0.2707^3 * (1 - 0.2707)^2 = 0.225

Therefore, the probability that 3 of the next 5 days have two accidents is approximately 0.225.

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The mean, median, and mode of the sample are 63.0, 58.0, and 52, respectively.

The mean, median, and mode of a sample can be calculated as follows:

mean = (52 + 62 + 71 + 52 + 56 + 65 + 61 + 70 + 52 + 57 + 59) / 11

mean = 693 / 11 = 63.0

Arranging the data in order: 52, 52, 52, 56, 57, 59, 61, 62, 65, 70, 71

The median is the average of the 6th and 7th values, which is (57 + 59) / 2 = 58.0

The mode is 52, which occurs 3 times.

So, the mean, median, and mode of the sample are 63.0, 58.0, and 52, respectively.

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Answer:

8, 9, and 10

Step-by-step explanation:

see attachment

Answer:

the total will be $27.31

15 percent tip is $3.56

Step-by-step explanation:

Here is the detailed mechanism of the reaction of sodium sulfanilate with HCl and NaNO2:

1) Sodium sulfanilate reacts with HCl to form sulfanilic acid:

C6H4SO3Na + HCl -> C6H4SO3H + NaCI

The Na+ ion dissociates from the sulfanilate ion, and the H+ protonates the sulfanilate forming sulfanilic acid.

2) The sulfanilic acid then reacts with NaNO2 to form the diazonium salt:

C6H4SO3H + NaNO2 -> C6H4SO2N2 + NaHSO3

The NO2- nucleophilically attacks the aromatic ring, displacing a proton and forming the diazonium salt and sodium bisulfite.

3) The diazonium salt is highly reactive and prone to undergo coupling reactions. As an example, it could undergo an azo coupling reaction with another aromatic amine to form an azo dye:

C6H4SO2N2 + C6H5NH2 -> C6H4SO2N=NC6H5 + N2

The diazonium salt reacts with aniline forming an azo bond (-N=N-) and releasing nitrogen gas.

So in summary, sodium sulfanilate first reacts with HCl to form sulfanilic acid, then the sulfanilic acid reacts with NaNO2 to form the diazonium salt. The diazonium salt is highly reactive and can undergo various coupling reactions to form azo dyes and other aromatic derivatives.

To evaluate the given integral using Green's theorem, we need to express it in the flux form.  The result of the integral is -r/6.

Green's theorem states that for a region R bounded by a simple closed curve C, the flux of the vector field F = (P, Q) across C is equal to the double integral of the curl of F over R.

In this case, we have the vector field F = (r^2xy, 1/2y^3), where r is the position vector (x, y).

The flux form of Green's theorem is:

\(∫∫R (curl F) · dA = ∫∫R (∂Q/∂x - ∂P/∂y) dA\)

Let's calculate the curl of F:

∂Q/∂x = 0

∂P/∂y = 2rxy

So, the curl of F is given by\((∂Q/∂x - ∂P/∂y) = 0 - 2rxy = -2rxy.\)

Now, let's evaluate the integral using the flux form of Green's theorem:

∫∫R (-2rxy) dA

Since the region R is a triangle with vertices (0,0), (1,0), and (0,1), we can express it as:

\(R = {(x, y) | 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 - x}\)

Now, we can rewrite the integral:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Let's evaluate the inner integral first:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Now, evaluate the outer integral:

\(∫₀¹ -r(x-x²) dx = -r(x²/2 - x³/3) ∣₀¹ = -r(1/2 - 1/3) = -r(3/6 - 2/6) = -r(1/6) = -r/6\)

Therefore, the result of the integral is -r/6.

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Answer:

Step-by-step explanation:

The segments formed by the parallel lines are proportional segments.

we can see that the answer is correct. Cheyenne will need to ride her bike for 107 days to travel a distance of 1,391 miles.

To find the number of days it takes Cheyenne to ride 1,391 miles on her bike, we can use the following formula:

\(Number of days = Total distance ÷ Distance per day\)

Here, the total distance is 1,391 miles and the distance Cheyenne rides every day is 13 miles. Substituting these values into the formula, we get:

Number of days = 1,391 miles ÷ 13 miles/day

Number of days = 107

Therefore, it takes Cheyenne 107 days to ride 1,391 miles on her bike.

We can also check this result by multiplying the number of days by the distance Cheyenne rides every day:

\(Number of days * Distance per day = Total distance\)

107 days × 13 miles/day = 1,391 miles

So, we can see that the answer is correct. Cheyenne will need to ride her bike for 107 days to travel a distance of 1,391 miles.

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We can rewrite \(e^(2y + C) as K * e^(2y),\) where K = \(e^C\) Let's solve the given differential equations one by one:

To solve the equation dy/dx = x^3 + 2y^2, we can rearrange it as dy/(x^3 + 2y^2) = dx. Then integrate both sides:

∫(1/(x^3 + 2y^2)) dy = ∫dx.

Integrating the left-hand side requires some manipulation. Let's substitute y^2 with u to simplify the integral:

∫(1/(x^3 + 2u)) dy = ∫dx.

Taking the derivative of u with respect to x, we get:

du/dx = 2y * dy/dx.

Substituting dy/dx from the original equation, we have:

du/dx = 2y * (x^3 + 2y^2).

Now, rewrite the equation as:

du/(x^3 + 2u) = 2y * dx.

Integrating both sides gives us:

∫(1/(x^3 + 2u)) du = ∫(2y) dx.

The integral on the left-hand side can be solved using partial fractions. Let A and B be constants such that:

1/(x^3 + 2u) = A/(x + √2u) + B/(x - √2u).

By equating the numerators, we get:

1 = A(x - √2u) + B(x + √2u).

Expanding and simplifying:

1 = (A + B)x + (A√2 - B√2)u.

Matching the coefficients of x and u, we have:

A + B = 0 ... (1)

A√2 - B√2 = 1 ... (2).

From equation (1), we have B = -A. Substituting it into equation (2), we get:

A√2 + A√2 = 1,

2A√2 = 1,

A = 1/(2√2) = √2/4.

Thus, B = -A = -√2/4.

The integral becomes:

∫(1/(x^3 + 2u)) du = (√2/4)∫(1/(x + √2u)) du - (√2/4)∫(1/(x - √2u)) du.

Using u = y^2, we can rewrite it as:

(1/√2)∫(1/(x + √2y^2)) du - (1/√2)∫(1/(x - √2y^2)) du.

Now, we integrate each term separately:

(1/√2)ln|x + √2y^2| - (1/√2)ln|x - √2y^2| = √2y + C.

Simplifying further:

ln|x + √2y^2| - ln|x - √2y^2| = 2y + C.

Applying the logarithmic property ln(a) - ln(b) = ln(a/b), we have:

ln((x + √2y^2)/(x - √2y^2)) = 2y + C.

Exponentiating both sides:

(x + √2y^2)/(x - √2y^2) = e^(2y + C).

We can rewrite e^(2y + C) as K * e^(2y), where K = e^C

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Answer:

Cost of 12 pencils = 37 4/5 = 189/5

Cost of 1 pencil = 189/5 ÷ 12

= 189/5 x 1/12 = 189/60 = 63/20 = 3 3/20

So required answer is 3 3/20

Hope This Helps You!

Answer:

B

Step-by-step explanation:

If you plug in x=1, then you get that f(1)=5, meaning that (1, 5) is a point on the graph.

Since graph B has the only line that passes through (1, 5), it must be the answer.

Answer:

9

Step-by-step explanation:

Answer:

The answer is 9

Step-by-step explanation:

The answer is 9 because 9*5=45

The resulting equation written in standard form is 16x² - 22x + 6 = 0.

Quadratic Equation in Standard Form: ax² + bx + c = 0

a, b and c are known values. a can't be 0.

"x" is the variable or unknown (we don't know it yet).

The "solutions" to the Quadratic Equation are where it is equal to zero.

They are also called "roots", or sometimes "zeros"

We can Factor the Quadratic (find what to multiply to make the Quadratic Equation)

Calculation for the given equation-

Now, y=-16x²+24x+6

Substitute, y = 12+2x in y = -16x²+24x+6.

=> 12+2x = -16x²+24x+6

=> 16x²-24x-6+12+2x = 0

=> 16x²-22x+6 = 0

Therefore, the quadratic equation given in the standard form is 16x²-22x+6 = 0.

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The complete question is-

The two equations are given below;

Y = 12 + 2x   linear equation

Y = -16x² + 24x + 6  quadratic equation

If you substitute 12 + 2x for y in the second equation how is the resulting equation written in standard form?

Answer:

Step-by-step explanation:

Dilation about the origin multiplies each coordinate value by the dilation factor.

For dilation factor k, the new coordinates are ...

  (x, y) ⇒ (kx, ky)

Your dilation factor is 3, so the transformation is ...

  (x, y) ⇒ (3x, 3y)

  A(-1, 4) ⇒ A'(-3, 12)

  B(3, 2) ⇒ B'(9, 6)

  C(-2, -2) ⇒ C'(-6, -6)

Answer:

The square root of 20.25 is 4.5!

Step-by-step explanation:

The value of number is,

⇒ 4.5

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The number is,

⇒ √20.25

Now, We can simplify as;

⇒ √20.25

Hence, The square root of 20.25;

⇒ 4.5

Thus, The value of number is,

⇒ 4.5

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Answer:

x/7 + 1 = 10

Step-by-step explanation:

x/7 + 1 = 10

Answer:

36

Step-by-step explanation:

Basically it is = 9 x 4

Multiply the numbers

= 9 ⋅ 4

= 36

Solution = 36

aka

y = 36

We cannot determine the exact test statistic based solely on the p-value of a hypothesis test. However, we can make an inference about the test statistic based on the level of significance and the directionality of the alternative hypothesis.

Assuming a two-tailed test with a significance level of 0.05, a p-value of 0.0295 suggests that the test statistic is significant at the 0.05 level, but not at the 0.01 level.

If the alternative hypothesis is one-tailed (either greater than or less than the null hypothesis), then we can infer the directionality of the test statistic. For example, if the alternative hypothesis is that the population mean is greater than the null hypothesis, then a p-value of 0.0295 suggests that the test statistic is positive.

However, we cannot determine the exact value of the test statistic without additional information, such as the sample size, the point estimate, and the standard error.

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The rate of change of the cost in dollars with respect to the number of miles can be found by taking the derivative of the function y = 4.25 + 2.5(x - 1).

The derivative of this function is simply 2.5, which represents the constant rate of change in dollars per mile. Therefore, the cost in dollars increases by $2.50 for every mile traveled.
The function y = 4.25 + 2.5(x - 1) can be used to determine the cost in dollars for a carriage ride of x miles. To find the rate of change of the cost in dollars with respect to the number of miles, we need to look at the coefficient of the x term in the function.
In the given function, y = 4.25 + 2.5(x - 1), the coefficient of the x term is 2.5. Therefore, the rate of change of the cost in dollars with respect to the number of miles is $2.5 per mile.

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Answer:

Answer choice "b. e"

Step-by-step explanation:

The vertex is the starting point of a line, ray, angle etc...