Which representation has the greatest rate of change?

Health Club A

Health Club B

Health Club C

Health Club D



Which representation has the greatest initial value?

Health Club A

Health Club B

Health Club C

Health Club D

Answer:

Step-by-step explanation:

\(x^2-15x-10=0\\\\x^2-2\cdot x\cdot\frac{15}2+(\frac{15}2)^2-(\frac{15}2)^2-10=0\\\\(x-\frac{15}2)^2-\frac{225}4-10=0\)

So to complete the square we need to add (and subtract) the number  \(\frac{225}4\)

Answer: the number must be placed in the box is 9

suppose: the number must be placed in the box is x

have:

5u + 3(4u - 6) = -3u -27 + 20u + x

⇔ 5u + 12u - 18 = -3u - 27 + 20u +x

⇔ 17u + 3u - 20u = -27 + 18 + x

⇔ 0 = x - 9

⇔ x = 9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Simplifying both sides gives 

17u - 18 = 17u - 27 + ▢.

Subtracting 17u from both sides gives

-18 = -27 + ▢. 

If the number in the box is anything but 9, then the equation cannot be true, and the original equation has no solutions. If the number in the box is 9, then the two sides of the original equation are equivalent, and all values of u are solutions to the equation.

Answer:

86.6666666667

Step-by-step explanation:

Because one of Tom's car wheel weighs 21 2/3 pounds, you would have to multiply 21 2/3 pounds by 4 to get the amount of pounds that all the tires weigh; which makes the answer:86.6666666667

Answer:

86 2/3

Step-by-step explanation:

you multiply 21 × 4 and get 84

multiply 2 × 4 and get 8

Divide 8/3 and get 2 2/3

add 2 to 84

and leave the 2/3

Answer:

Two and hundredths

Step-by-step explanation: I'm in college so I think I am capable of answering a middle school question thank you very much, and make sure to mar me brainliest.

Answer:

Triangle 3: 3, 4 ,5

Step-by-step explanation:

Well, you can easily tell by 3, 4, 5 being a Pythagorean triple.

But you have to use the Pythagorean Theorem to solve this.

So you get the side lengths of the two shortest sides, and you add the squared versions of them together.

So: 3^2+4^2 and if that equals the biggest side:5^2 then it's a right triangle.

Answer:

35

Step-by-step explanation:

Since you know that a triangle must have a total of 180 degrees and a right triangle is 90 degrees then you just subtract 90 from 180 and you get 90. Then subtract 55 from 90 and you get 35 which is the only possible answer.

There are 6 possible itineraries with Thailand as the last stop.

To find the number of possible itineraries with Thailand as the last stop, you need to consider the possible arrangements for the other three destinations (Singapore, Hong Kong, and Bali).

Since there are 3 remaining destinations, there are 3! (3 factorial) ways to arrange them.

3! = 3 × 2 × 1 = 6.

Therefore, there are 6 possible itineraries with Thailand as the last stop.

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a) The mean weight of pineapples grown in the field this year is different from the mean weight of pineapples grown last year. b) The power to detect an increase of 2 ounces in the mean weight of pineapples (μa = 33 ounces) is approximately 0.932, and the probability of making a Type 2 error with a true mean of 33 ounces is approximately 0.068.

(a) The null hypothesis (H0) and alternative hypothesis (Ha) can be written as follows:

Null Hypothesis (H0): The mean weight of pineapples grown in the field this year is equal to the mean weight of pineapples grown last year (μ = 31 ounces).

Alternative Hypothesis (Ha): The mean weight of pineapples grown in the field this year is different from the mean weight of pineapples grown last year (μ ≠ 31 ounces).

(b) To calculate the power and the probability of making a Type 2 error, we need to assume the population mean weight of pineapples this year (μa) is 33 ounces. We also need to determine the critical value for the given significance level (α) of 0.05.

Given that the sample size (n) is 30, the population standard deviation (σ) is 4 ounces, and the mean weight under the alternative hypothesis (μa) is 33 ounces, we can calculate the test statistic (z) using the formula:

z = (\(\bar x\) - μa) / (σ / √n)

where \(\bar x\) is the sample mean.

With \(\bar x\) = 31 ounces, σ = 4 ounces, μa = 33 ounces, and n = 30, we can calculate the test statistic:

z = (31 - 33) / (4 / √30)

z = -2 / (4 / √30)

z = -2 / (4 / 5.477)

z = -2 / 1.0954

z ≈ -1.825

Using a standard normal distribution table or calculator, we can find the corresponding p-value for this z-value. Let's assume it is approximately 0.034 (one-tailed test).

The power of the test can be calculated as 1 minus the probability of a Type 2 error. Since the alternative hypothesis is two-sided, we divide the significance level (α) by 2 and find the corresponding critical z-value. Let's assume it is approximately 1.96 (two-tailed test).

Now we can calculate the power using the formula:

Power = 1 - P(Type 2 Error) = 1 - P(z < -1.96 or z > 1.96)

P(Type 2 Error) = P(z < -1.96 or z > 1.96) ≈ 2 * P(z < -1.96) (assuming symmetry)

P(Type 2 Error) ≈ 2 * 0.034 ≈ 0.068

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Answer:

I THINK 64.8

Step-by-step explanation:

Answer:

first put 2 in the numerator for the first blank and 2/9 in the second blank

Step-by-step explanation:

1/3 equals 3/9 and 3/9-1/9=2/9

Answer:

\(\frac{3}{9}\)

Step-by-step explanation:

Removing and rearranging parentheses symbol, we get, (1.3-4.9)+2.6.

What is parentheses?

When a function's variables are enclosed in parentheses and written with the form f(x), it indicates that the values of f rely just on values of x.

1.3+(-4.9+(2.6)

Removing and rearranging parentheses symbol, we get,

(1.3-4.9)+2.6

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Answer:

29

Step-by-step explanation:

217.5÷7.50=29

............ur welcome...............

the dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively

given that

the combined perimeter of a circle and square is 16cm

let side length of the square is s

let radius of the circle with r

So, the perimeter (P) and the area (A) of the shape are:

P= 4s + 2\(\pi\)r

A = \(s^{2}\) + \(\pi\)\(r^{2}\)

given that perimeter is 16

so, 4s +2\(\pi\)r = 16

divide by 4

s +0.5\(\pi\)r = 4

s = 4 - 0.5\(\pi\)r

substitute s value in area

A =  \((4-0.5\pi r)^{2}\) + \(\pi\)r

A = 16 - 4\(\pi\)r +0.25\((\pi r)^{2}\) +\(\pi\)\(r^{2}\)

A =16 - 4\(\pi\)r + (0.25 \(\pi ^{2}\) + \(\pi\))\(r^{2}\)

differentiate with respect to r

A' = 0 - 4\(\pi\) +2 (0.25 \(\pi ^{2}\) + \(\pi\))r

A' = - 4\(\pi\) +2 (0.25 \(\pi ^{2}\) + \(\pi\))r

now A' =0

- 4\(\pi\) +2 (0.25 \(\pi ^{2}\) + \(\pi\))r =0

2 (0.25 \(\pi ^{2}\) + \(\pi\))r =  4\(\pi\)

divide both sides by 2

(0.25 \(\pi ^{2}\) + \(\pi\))r = 2\(\pi\)

r = \(\frac{2\pi }{0.25\pi ^{2} +\pi }\)

r = \(\frac{2\pi }{\pi (0.25\pi +1)}\)

substitute  \(\pi\) =3.14

r = 2/(0.25(3.14)+1)

r = 1.12

substitute r value in s

s = 4 - 0.5 * 3.14 *1.12

s =2.24

Hence, the dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively

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The supergym sold 15,826.24 membership last year

This year it's employees sold 10,412

This number is 52% more that they sold last year

The first step is to calculate 52% of 10,412

52/100 × 10,412

= 0.52 × 10412

= 5,414.24

The number of membership sold this year can be calculated as follows

= 5414.24 + 10,412

= 15,826.24

Hence the number of membership they sold last year is  15,826.24

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Answer:

Step-by-step explanation:

Given three points J, C and T on a line, if J is between C and T then;

CJ + JT = CT.

Given CJ=8x+5, CT=55, and JT=4x+2, substituting this parameters in the equation above will give;

\((8x+5)+(4x+2)= 55\\8x+4x+5+2 = 55\\12x+7 = 55\\12x = 55-7\\12x = 48\\ x = \frac{48}{12} \\x = 4\)

SInce JT = 4x+2

\(JT = 4(4)+2\\JT = 16+2\\JT = 18\)

Answer:

option D

Step-by-step explanation:

option D is the correct answer of this question .

plz mark my answer as brainlist.

hope this will be helpful to you.

Answer:

D

Step-by-step explanation:

Answer:

\(\boxed{12}\)

Step-by-step explanation:

\(6/\frac{1}{2} =6*2=12\)

Answer: \(2x^{2} y^{3} (\sqrt[3]{4x^{2} y} )\)

Step-by-step explanation:

\(\sqrt[3]{32x^{8} y^{10} } =\sqrt[3]{2^{3} \cdot 2^{2} \cdot x^{2} \cdot (x^{2} )^{3} \cdot y \cdot (y^{3})^{3} } =2x^{2} y^{3} (\sqrt[3]{4x^{2} y} )\)

Answer:

Option C :

               \(\sqrt[3]{32x^8y^10} = 2x^2 y^3 \sqrt[3]{4x^2 y}\)

Step-by-step explanation:

\(\sqrt[3]{32x^8y^{10}}} = ( 32 x^8 y^{10})^{\frac{1}{3}}\)

              \(= ( 2^5 \times x^8 \times y^{10})^{\frac{1}{3}}\\\\= ( 2^{5\times\frac{1}{3}} \times x^{8 \times \frac{1}{3}} \times y^{10 \times \frac{1}{3}})\\\\=(2^{\frac{3}{3} + \frac{2}{3}}} \times x^{\frac{6}{3} + \frac{2}{3}} \times y^{\frac{9}{3} + \frac{1}{3}})\\\\= 2 \times 2^{\frac{2}{3}} x^2 \times x^{\frac{2}{3}} \times y^3 \times y^\frac{1}{3}\\\\=2x^2 y^3 \times 2^{\frac{2}{3} \times }x^{\frac{2}{3}} \times y^{\frac{1}{3}}\\\\=2x^2 y^3 (2^2x^2 y)^{\frac{1}{3}}\\\\= 2x^2y^3 \ \sqrt[3]{ \ 4 x^2 \ y }\)

Based on the information provided, 2 is not a solution of x>5 because a possible solution requires a number greater than 5.

Inequalities include symbols such as >, ≤, ≥, among others that should be interpreted correctly to solve the inequality. In this case, the symbol in the inequality is >, which means greater than. Based on this, the value of x should be greater than 5, for example, 7, 19, 2948, etc.

Therefore, 2 is not a solution to the inequality x>5 because a number greater than 5 rather than less than 5 is required to solve this expression.

Note: This question is incorrect and incomplete; here is the complete question:

Explain why 2 is NOT a solution of x>5

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The function (g+h)(n-4) is the sum of the function g(n-4) and h(n-4) will be written as (g+h)(n-4) = n² - 7n + 9.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

g(n) = n² + 4n

h(n) = - 3n - 3

The function (g+h)(n) is calculated as,

(g+h)(n) = g(n) + h(n)

(g+h)(n) = n² + 4n - 3n - 3

(g+h)(n) = n² + n - 3

Put n = n - 4, then we have

(g+h)(n-4) = (n - 4)² + (n - 4) - 3

(g+h)(n-4) = n² + 16 - 8n + n - 4 - 3

(g+h)(n-4) = n² - 7n + 9

The function (g+h)(n-4) will be (g+h)(n-4) = n² - 7n + 9.

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Answer: the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Step-by-step explanation:

Let's assume the price of one senior citizen ticket is 's' dollars and the price of one student ticket is 't' dollars.

According to the given information, on the first day, the school sold 7 senior citizen tickets and 11 student tickets, totaling $125. This can be expressed as the equation:

7s + 11t = 125 ---(1)

On the second day, the school sold 14 senior citizen tickets and 8 student tickets, totaling $180. This can be expressed as the equation:

14s + 8t = 180 ---(2)

We now have a system of two equations with two variables. We can solve this system to find the values of 's' and 't'.

Multiplying equation (1) by 8 and equation (2) by 11, we get:

56s + 88t = 1000 ---(3)

154s + 88t = 1980 ---(4)

Subtracting equation (3) from equation (4) eliminates 't':

(154s + 88t) - (56s + 88t) = 1980 - 1000

98s = 980

s = 980 / 98

s = 10

Substituting the value of 's' back into equation (1), we can solve for 't':

7s + 11t = 125

7(10) + 11t = 125

70 + 11t = 125

11t = 125 - 70

11t = 55

t = 55 / 11

t = 5

Therefore, the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

40% of $129.50 = $51.80

$129.50 - $51.80 = $77.70

Sale Price : $77.70

The slope of the line that passes through points (2, 8) and (-3, 14) is -6/5.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The line passes through points (2, 8) and (-3, 14).

(2, 8) = (a, b) and (-3, 14) = (c, d)

The slope of the line.

= (d - b) / (c - a)

= (14 - 8) / (-3 - 2)

= 6 / -5

= -6/5

Thus,

The slope of the line is -6/5.

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Step-by-step explanation:

since x=2 and z=-2

4+4=8 [ because -2* -2=+4 ]

Answer:122

Step-by-step explanation:

Supplementary just means two angles sum to 180.

Let g be the integral function defined by g(x) = ∫x-1 (-1/2 * cos (t³ / 2t)) dt for x = 0, g is g(x) = -1/2(x-1 * sin(t³/2t) - x-1 * cos(t³/2t)).

To solve this integral, we need to use the substitution method. We will let u = t/2t, du = 3t/2 dt.

Thus, the integral becomes:

g(x) = -1/2 * ∫x-1 cos(u) du

Using integration by parts, we get:

g(x) = -1/2(x-1 * sin(u) + ∫x-1 sin(u) du).

After integrating the second part, we obtain the final result:

g(x) = -1/2(x-1 * sin(u) - x-1 * cos(u))./2t

we subtitute the value of u to get:

g(x) = -1/2(x-1 * sin(t³/2t) - x-1 * cos(t³/2t)).

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The simplified sum of the expression ∑+1=−1 (2 − 1) is 2.

The given expression is the sum of (2 - 1) from i = -1 to n, where n = 1. Therefore, the expression can be simplified as follows:

∑+1=−1 (2 − 1) = (2 - 1) + (2 - 1) = 1 + 1 = 2

In this case, the value of n is 1, which means that the summation will only be performed for i = -1. The expression inside the summation is (2 - 1), which equals 1. Thus, the summation is equal to 1.

Adding 1 to the result of the summation gives:

∑+1=−1 (2 − 1) + 1 = 1 + 1 = 2

Therefore, the simplified sum of the expression ∑+1=−1 (2 − 1) is 2.

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Answer:

Both data sets represent multiplicative relationships. In Table A, y is 2.5 times x, and in Table B, y is 3 times X

Step-by-step explanation:

Self-explanatory

Every value of y in Table A is 2.5 times  x value

and

every value of y in table B is 3 times x value