Pls somebody solve this I still don’t understand it yet :/ please

Answer:

3z/4

Step-by-step explanation:

Here, we start by calculating the 50% of z

mathematically, that would be 50/100 * z = 50z/100 = z/2

Now we want to calculate the 150% of this.

That would be 150/100 * z/2 = 150z/200 = 3z/4

Answer:

\(y = (x+2) * (x+5) = x^2 + 7x + 10\)

Answer:

The fraction 49/35 reduced is: 1  14/35

Step-by-step explanation:

Let x= the average for all three classes combined. So x=85.25.

When you add two or more numbers and divide the result by the number of numbers you added together, you obtain an average.

The arithmetic mean is determined by adding a collection of numbers, dividing by their count, and obtaining the result.

average  =  total points / number of students

total points = average*number of students

Let the total number of students in  each class = a , b  and x

The total number of points the first class amassed  was   80a

The total number of points amassed by the second class was  85b

The total number of points amassed by the third class = 89c

For the first two classes we have

[ 80a + 85b ] / [ a + b] = 83

80a + 85b = 83a + 83b  

subtract  80a, 83b from both sides    

3a = 2b

a = 2/3b

For the second two classes we have

[ 85b + 89c ]  / [ b + c ]  =  87  

[  85b + 89c ]  = 87 [b + c]

85b + 89c = 87b + 87c      

subtract  85b, 87c from both sides

2c = 2b  

b  = c

For the three classes.....

Total points by all three classes /  number of class members  = the average for all three classes

[ 80a + 85b  + 89c ] /  [ a + b + c ]   =[sub for  a and c ]  

[80 (2/3)b  + 85b  + 89b]  /  [ (2/3)b  + b  + b ]  

b [ 80 (2/3)  + 85  + 89 ]  / [  b [( 2/3) + 1 + 1] ]       [cancel the b's ]

[ 80 (2/3) + 85 + 89]  [  8/3 ]

[ 160/3 + 85 + 89 ] /  [8/3] =

[ 160/3  + 255/3 + 267/3]  / [8/3]     multiply  top/bottom by 3

[160 + 255 + 267 ] / 8  =  

85.25  = average for all three classes

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Answer:

8 personal training sessions, 3 from Sliver Gym and 5 from Fit Factor.

Step-by-step explanation:

Alright, write the multiples of and 25 and 15 until both reaches the same number.

25, 50, 75

15, 30, 45, 60, 75

I don't really understand the final part of the question, but I hope it helps.

3 + 5 = 8

3 from Sliver Gym and 5 from Fit Factor.

Answer:√(6/5) and √(9/7) and √(7/5)

Step-by-step explanation:

1/4 = 0.25

5/4 = 1.25

√(6/5)=1.095445...

√(9/7)=1.1338934...

√(7/5)=1.1832159...

Thus, any non-perfect square radicals will be irrational numbers.

Hope this helps!! :)

Please let me know if you have any question

The area of the rectangle is 10

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

The area of a rectangle is expressed as;

A = l× w

where l is the length and w is the width.

length = √ 3-(-1)²+ 1-(-1)²

= √ 4²+ 2²

= √ 20 =

width = √1-(-1)²+ -2-(-1)²

= √ 2²+1²

= √5

=

Area = l × w

= √20× √5

= √100

= 10

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Part (a)

The radius is r = 42 because OA = 42.

The circumference, aka distance around the circle, is

C = 2*pi*r

C = 2*(22/7)*42

C = 264

We're told that arc AB is 110 mm which is 110/264 = 5/12 of the full distance around the circle.

So we'll apply 5/12 to the full rotation 360 to get (5/12)*360 = 150

==============================================================

Part (b)

Compute the area of the full circle

A = pi*r^2

A = (22/7)*(42)^2

A = 5544

Then take 5/12 of this because we only want 5/12 of the full circle area (to get the area of the shaded pizza slice)

(5/12)*(5544) = 2310

==============================================================

Side note: Both answers are approximate because pi = 22/7 is approximate.

It is false, that the margin of error of a confidence interval is the error from biased sampling methods.

The margin of error of a confidence interval is the amount of accuracy in a sample with respect to the population. It is calculated by taking the sample standard deviation and dividing it by the square root of the sample size. The margin of error helps to quantify the reliability of estimates and provides a range within which the population parameter is likely to fall. It does not refer to errors in sampling methods, which are typically a result of bias. Bias is a systematic error that arises from the sampling procedure, resulting in estimates that are not an accurate representation of the population.

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The inverse function theorem states that if f is a differentiable function with a nonzero derivative at a point x, then there exists a neighborhood of x where f is invertible and the inverse function g is also differentiable.

If f has k continuous derivatives, then we can apply the theorem k times to obtain a neighborhood of x where f is k times differentiable and invertible with a k times differentiable inverse function g. To show that g also has k continuous derivatives, we can use induction.

For k = 1, we know that g'(y) exists and is continuous by the inverse function theorem. Now assume that g has k continuous derivatives, and let's show that g has (k+1) continuous derivatives. By the chain rule, we have (g o f)(x) = x, which implies that (g' o f)(x) f'(x) = 1. Differentiating both sides with respect to x, we get (g'' o f)(x) f'(x)^2 + (g' o f)(x) f''(x) = 0. Solving for (g'' o f)(x), we obtain (g'' o f)(x) = - (g' o f)(x) f''(x) / f'(x)^2.

Since f has k continuous derivatives, we know that f'' is continuous. By the induction hypothesis, g' o f has k continuous derivatives. Since f' is nonzero, we know that f' is continuous and hence 1/f'(x)^2 is also continuous. Therefore, (g'' o f) is continuous as a product of continuous functions, and g has (k+1) continuous derivatives.

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Answer:

A

Step-by-step explanation:

Sequence A works.

With sequence B, the triangles will be next to each other.

Answer: A

Answer:

A

Step-by-step explanation:

I took test

The sum "Two-fifths + StartRoot 88 EndRoot" is an irrational number and its classification is "irrational".

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can simplify the expression "Two-fifths + StartRoot 88 EndRoot" by finding the decimal value of the square root of 88 and adding it to 2/5:

sqrt(88) = 9.3808315196...

So, Two-fifths + StartRoot 88 EndRoot = 2/5 + sqrt(88).

=  2/5 + 9.3808315196...

≈ 9.7808315196...

Since the decimal value of the square root of 88 is not a rational number (it has an infinite non-repeating decimal expansion), the sum of Two-fifths and the square root of 88 is an irrational number.

Therefore,

The sum "Two-fifths + StartRoot 88 EndRoot" is an irrational number and its classification is "irrational".

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Answer:

31557778998765432

Step-by-step explanation:

is it impossible

Answer:

Step-by-step explanation:

Answer: 13

Step-by-step explanation:

The average speed of Aaidan was 32.7 m/min.

The total distance walked by Aaidan is the sum of the distance from his home to his friend's house (900 m) and the distance from his friend's house to his home (900 m). Thus, the total distance walked by Aaidan is 900 m + 900 m = 1800 m.

Let's calculate the average speed of Aaidan. First, we need to calculate the total time taken by Aaidan to walk the total distance of 1800 m. Total time taken = 15 minutes + 30 minutes + 10 minutes = 55 minutes.

Therefore, the average speed of Aaidan = Total distance/Total time = 1800 m/55 minutes = 32.7 m/min.

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Complete question:

What was Aidan's average walking speed (in meters per minute) from home to his friend's house and from his friend's house back home?

Answer:

The side s has a length of 4 and side q has a length of 4\(\sqrt{3}\) ⇒ F

Step-by-step explanation:

In the 30°-60°-90° triangle, there is a ratio between its sides

side opp (30°) : side opp (60°) : hypotenuse

       1               :         \(\sqrt{3}\)            :        2

In the given triangle

∵ The side opposite to 30° is s

∵ The side opposite to 60° is q

∵ The hypotenuse is 8

→ Use the ratio above to find the lengths of s and q

side opp (30°) : side opp (60°) : hypotenuse

       1               :         \(\sqrt{3}\)            :        2

       s               :          q             :        8

→ By using cross multiplication

∵ s × 2 = 1 × 8

∴ 2s = 8

→ Divide both sides by 2

∴ s = 4

∴ The length of s is 4

∵ q × 2 = \(\sqrt{3}\) × 8

∴ 2q = 8\(\sqrt{3}\)

→ Divide both sides by 2

∴ q = 4\(\sqrt{3}\)

∴ The length of q is 4\(\sqrt{3}\)

The total utility of 4 units is 50 and the marginal utility is 5

Total utility is the sum of satisfaction that is derived from the consumption of units of a good or service.

Total utility can be determined by adding the marginal utility of each unit that is consumed.

Total utility of consuming 4 units = marginal utility of the first unit + marginal utility of the second unit + marginal utility of the third unit + marginal utility of the fourth unit  

20 + 15 + 10 + 5 = 50

Marginal utility is the change in total utility when consumption increases by unit. Marginal utility is 5

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The number of paperback books that Ms. Baldwin will get for free is 14.

The first step is to determine how many paperbacks Ms. Baldwin will get for free when she buys one hardcover book. In order to determine this, divide 2 paperbacks by 5 hardcover books.

Number of paperbacks that Ms. Baldwin will get if she buys one hardcover book ; 2/5

The second step is to multiply, the answer gotten in the previous step by the number of hardcover books that Ms. Baldwin bought.

Number of paperbacks that Ms. Baldwin will get for free = 2/5 x 35 = 14 books.

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Answer:

white sold = 16

yellow sold = 12

Step-by-step explanation:

w = # of white sold

y = # of yellow sold

w + y = 28   solve this for w

w = 28 - y

9.95w + 13.5y = 321.20     substitute w = 28-y into this expression and solve for y

9.95(28-y) + 13.5y = 321.20

278.60 - 9.95y + 13.50y = 321.20

278.60 + 3.55y = 321.20

3.55y = 321.20 - 278.60 = 42.60

y = 42.60/3.55 = 12   substitute this into w = 28 - y and solve for w

w = 28 - 12 = 16

3 is the ways that she could do this

Let's first find the sum of each list:

List S: 3 + 5 + 8 + 11 + 13 + 14 = 54

List T: 2 + 5 + 6 + 10 + 12 + 13 = 48

The difference between the sums of the lists is 54 - 48 = 6.

two numbers must be half of 6, which is 3. In other words, we're looking for pairs of numbers where the number from List S is 3 greater than the number from List T.

Now we'll compare the numbers in the two lists to see which pairs meet this condition:

(3, 0): No match.

(5, 2): Match.

(8, 5): Match.

(11, 8): No match.

(13, 10): Match.

(14, 11): No match.

We found 3 pairs that meet the condition: (5, 2), (8, 5), and (13, 10). Therefore, there are 3 ways Jenny can swap the numbers to make the sums equal.

The correct answer is C, 3.

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The smaller region bounded by the spiral rθ = 1, the circles r = 1 and r = 3, and the polar axis has an approximate area of 7.265 square units.

To find the area of the given region, we need to determine the limits of integration and set up the appropriate integrals in polar coordinates.

The region is bounded by the spiral curve rθ = 1, the polar axis (θ = 0), and the circles r = 1 and r = 3.

First, let's consider the spiral curve. The equation rθ = 1 can be rewritten as r = 1/θ. To find the points of intersection between the spiral and the circles, we substitute the values of r from the circles' equations.

For the circle r = 1, we substitute r = 1 into the spiral equation: 1 = 1/θ. Solving for θ, we get θ = 1. So, the point of intersection is (1, 1).

For the circle r = 3, we substitute r = 3 into the spiral equation: 3 = 1/θ. Solving for θ, we get θ = 1/3. So, the point of intersection is (3, 1/3).

Now, let's determine the limits of integration for the area calculation.

The limits of integration for the spiral curve are from θ = 0 to θ = π/2. The limits of integration for the circle r = 1 are from θ = 0 to θ = 1, and the limits of integration for the circle r = 3 are from θ = 1 to θ = 0.

To calculate the area, we set up the following integrals:

A = ∫(θ=0 to π/2) ∫(r=1/θ to 3) r dr dθ for the spiral region

∫(θ=0 to π/2) ∫(r=0 to 1) r dr dθ for the circle region

Let's evaluate each integral step by step.

For the spiral region integral, the inner integral is ∫(r=1/θ to 3) r dr. Integrating with respect to r, we get (r^2)/2 ∣(1/θ)^(3) - (r^2)/2 ∣3 = 4.5 - 0.5/θ^3.

The outer integral for the spiral region integral is ∫(θ=0 to π/2) 4.5 - 0.5/θ^3 dθ. Evaluating this integral, we get 2.25π + 0.3333.

For the circle region integral, the inner integral is ∫(r=0 to 1) r dr. Integrating with respect to r, we get (r^2)/2 ∣0^1 = 0.5.

The outer integral for the circle region integral is ∫(θ=0 to π/2) 0.5 dθ. Evaluating this integral, we get 0.25π.

Finally, we calculate the total area by subtracting the area of the circle region from the area of the spiral region:

A = (2.25π + 0.3333) - 0.25π = 1.99π + 0.3333.

Approximating the value to three decimal places, the area of the smaller region is approximately 7.265 square units.

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A franchise models the profit from its store as a continuous income stream with a monthly rate of how at time t given by r(e) = 7000e^(0.05t) (dollar per month) .The nearest dollar is $124. Given function of r(e) = 7000e^(0.05t) (dollar per month).

The function represents the profit from a franchise as a continuous income stream with a monthly rate of r(e) over time t.To calculate the profit earned from the franchise over a certain period, we can integrate the function from 0 to t.∫r(e) dt = ∫7000e^(0.05t) dt

= (7000/0.05) e^(0.05t) + Cwhere C is a constant of integration.To find the value of C, we can use the given information that the profit at time t=0 is $0.

Therefore, we have:r(0)

= 7000e^(0.05*0)

= 7000*1

= $7000Substituting this value in the above equation, we get:7000

= (7000/0.05) e^(0.05*0) + C => C

Therefore, the profit earned from the franchise over a period of t is given by:P(t)

= (7000/0.05) (e^(0.05t) - 1)In dollars, the profit earned from the franchise is:P(t)

= (7000/0.05) (e^(0.05t) - 1)

= 140000 (e^(0.05t) - 1)Using the given value of t

= 2, we can find the profit earned over a period of 2 months.P(2)

= 140000 (e^(0.05*2) - 1) ≈ $11,826.14Therefore, to the nearest dollar, the profit earned from the franchise over a period of 2 months is $11,826.

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The total profit for the second 6-month period is $43935.

In Mathematics and Financial accounting, profit is a measure of the amount of money generated when the selling price is deducted from the cost price of a good or service, which is usually provided by producers.

In order to determine the total profit for the second 6-month period from t = 6 to t = 12, we would integrate the continuous income stream model with a monthly rate of flow at time t as follows;

\(Total \;profit=\int\limits^{12}_{6} 7000e^{0.005t}\, dx \\\\Total \;profit= \frac{7000}{0.005} [ e^{0.005t}] \limits^{12}_{6}\\\\Total \;profit= \frac{7000}{0.005} [ e^{0.005(12)}- e^{0.005(6)}]\)

Total profit = 1400000 × (1.06183654655 - 1.03045453395)

Total profit = 1400000 × 0.0313820126

Total profit = $43935

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Complete Question:

A franchise models the profit from its store as a continuous income stream with a monthly rate of flow at time t given by

\(f(t) = 7000e^{0.005t}\) (dollars per month).

When a new store opens, its manager is judged against the model, with special emphasis on the second half of the first year. Find the total profit for the second 6-month period (t = 6 to t = 12). (Round your answer to the nearest dollar.)

Answer:

ion no

Step

sry ok

To test if there is a difference between the means of the two populations, we can perform a two-sample t-test. The null hypothesis is that there is no difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities.

Let's assume that the researcher has collected the following data:

Sample of families with no children: n1 = 30, sample mean = 4.5 hours per week, sample standard deviation = 1.2 hours per week.

Sample of families with children: n2 = 40, sample mean = 3.8 hours per week, sample standard deviation = 1.5 hours per week.

Using the critical value method, we need to calculate the t-statistic and compare it to the critical value from the t-distribution table with n1+n2-2 degrees of freedom and a significance level of α = 0.05.

The formula for the t-statistic is:

t = (x1 - x2) / sqrt(s1^2/n1 + s2^2/n2)

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

Plugging in the numbers, we get:

t = (4.5 - 3.8) / sqrt((1.2^2/30) + (1.5^2/40)) = 2.08

The degrees of freedom for the t-distribution is df = n1 + n2 - 2 = 68.

Using a t-distribution table, we find the critical value for a two-tailed test with α = 0.05 and df = 68 is ±1.997.

Since our calculated t-statistic of 2.08 is greater than the critical value of 1.997, we can reject the null hypothesis and conclude that there is a statistically significant difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities.

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Answer:

Step-by-step explanation:

X=5      2x+y=10

you already have x

just need to find y

2x+ y=10

2 (5)+y=10

10 + y=10

y=10- 10 ( when you change the number place the sign should change too, if it was - it will turn +)

y=10-10

y=0

(5,0)

I really hope it work

Answer:

it will be 100

Step-by-step explanation: