Suppose it cost you $78.48 for a 9-month subscription to a streaming video service. Write a proportion that you can use to find the cost in dollars for a 12-month subscription. Then solve.

TU is parallel to MN.

Given that the slope of a line MN is -3, we need to find a line which is parallel to the MN.
So we know that the parallel lines are having equal slope so the line which is parallel to the MN it must have slope of -3.

Therefore,

Considering the line TU, find the slope = y₂-y₁ / x₂-x₁

= 10-1 / 5-8 = -9/3 = -3

Since, the slope of the line TU is -3 therefore we can say the lines TU and MN are parallel liens.

Hence TU is parallel to MN.

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Step-by-step explanation:

a) (X+4) +(2x+2)+x=180°(Angle sum property)

x+4+2x+2+x =180°

6+4x =180°

4x =180°-6

x=174÷4

x=43.5°

b) mABC = x°

mABC =43.5°

c)ABC+ABD =180°(Linear pair Axiom)

43.5°+ABD =180°

ABD =180°-43.5°

ABD =136.5°

Answer:

\(9/10\)

Step-by-step explanation:

Mark me as brainlest pleasee

The actual value of the function is: \($$y(1.3) = \frac{1.3^6}{6} + 8.6835 = 11.6375$$\)

The exact solution to the differential equation can be found using separation of variables. We first integrate both sides of the equation with respect to x and obtain: \($$\int \frac{x^5}{y}dx = \int 1\,dy$$$$\frac{x^6}{6} + c = y$$\)

where c is a constant. From the initial conditions, we can solve for c to get: \($$c = 9 - \frac{0.3^6}{6} = 8.6835$$\)

Therefore, the exact solution is:\($$y(x) = \frac{x^6}{6} + 8.6835$$\)

At x = 1.3, the actual value of the function is: \($$y(1.3) = \frac{1.3^6}{6} + 8.6835 = 11.6375$$\)

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Answer:

The final equation is \(\bold{y=-\frac{1}{2}x -2}\).

Step-by-step explanation:

To rewrite an equation in slope-intercept form, our equation must be in \(\text{y = mx + b}\) form. This means the y-variable must be on the left side of the equation and the slope and y-intercept must be on the right side of the equation. We can do this by moving the equation around.

\(\text{y = mx + b \ \ This is the equation we want to reach.}\\\\\text{x - 2y = 4 \ \ This is what we are given.}\\\\\text{-2y = -x + 4 \ \ Move the x to the right by subtracting it from both sides.}\\\\{y = -\frac{1}{2}x - 2} \ \ \text{When we divide by two, we get this.}\)

And then, we're done! Our final answer is \(y=-\frac{1}{2}x -2\).

On solving the provided questions, we can say that Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

he diameter of the ball bearings varies according to a distribution that is approximately Normal

mean 11.5 mm and standard deviation 0.05 mm

the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm

Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%

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Answer:

1/3

Step-by-step explanation:

Divide the number of pencil packs by the number of students:

8 ÷ 24 = 1/3

So each student got 1/3 of a pack of pencils.

Answer:

(2a^3a^4)^5 simplifies to 32a^35.

Step-by-step explanation:

To simplify (2a^3a^4)^5, we can use the properties of exponents which states that when we raise a power to another power, we can multiply the exponents. Therefore, we can rewrite the expression as:

(2a^3a^4)^5 = 2^5 * (a^3a^4)^5

Next, we can simplify the expression inside the parentheses by multiplying the exponents:

a^3a^4 = a^(3+4) = a^7

Substituting this into our expression, we get:

(2a^3a^4)^5 = 2^5 * (a^3a^4)^5 = 2^5 * a^35

Finally, we can simplify this expression by using the property of exponents that states that when we multiply two powers with the same base, we can add their exponents. Therefore, we can rewrite the expression as:

2^5 * a^35 = 32a^35

Therefore, (2a^3a^4)^5 simplifies to 32a^35.

The green grapes weigh 0.125 pounds more than the red grapes.

1/4 of a pound = 0.25 pounds

1/8 of a pound = 0.125 pounds

0.25 - 0.125 = 0.125 pounds

Hope this helps :)

Answer:

A. the angular speed is 3771.4 rad/min

b. 5921 rpms

Step-by-step explanation: I just got this same question right on a test.

Answer:

answer

Step-by-step explanation:

angle B=63

AC=23.5

AB=26.4

Answer:

No

Step-by-step explanation:

Marcus is not correct because 1/12 converts to the repeating decimal 0.8333... but 3/12 converts to 0.25 which is not a repeating decimal.

Answer:

x^2 + y^2 - 8x + 18y + 48 = 0

Step-by-step explanation:

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the centre of circle and r is the radius of circle. hence the standard form of equation can be obtained by expanding

(x-4)^2 + {y-(-9)}^2 = 7^2

Answer:

Surface area

Step-by-step explanation:

The sum of the areas of all the faces of a 3D object is called Surface Area

Answer:

Step-by-step explanation:

C=Volume

Answer:

-14x² - x + 4

Step-by-step explanation:

(-10x² + 5x - 3) - (4x² + 6x - 7)

= (-10x² + 5x - 3) - (+4x²) - (+6x) - (-7)

= (-10x² + 5x - 3) -4x² -6x +7

= -10x²-4x² +5x-6x -3+7

= -14x²  - x + 4

The function with the steepest slope is \(y = 7x - 3\).

The correct answer is C.

The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.

Let's compare the coefficients of x in each of the given functions:

\(y = -8x + 5\)

Slope: -8

\(y - 9 = -2(x + 1)\)

Simplifying, we get \(y - 9 = -2x - 2\)

Rearranging, we have \(y = -2x + 7\)

Slope: -2

\(y = 7x - 3\)

Slope: 7

\(y + 2 = 6(x + 10)\)

Simplifying, we get \(y + 2 = 6x + 60\)

Rearranging, we have \(y = 6x + 58\)

Slope: 6

Therefore, the steepest slope is the \(y = 7x - 3\).

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6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Step-by-step explanation:

[sqrt] 5 and [sqrt] 7 i guess

Answer:

9?

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Isosceles because two sides are same length

                 and

Obtuse because there is an interior angle greater than 90 °

Answer:

The chi - square test can be \(\approx\) 0.667

Step-by-step explanation:

From the given data :

The null hypothesis and the alternative hypothesis can be computed as:

Null hypothesis: The number of customers does  follow  a uniform distribution

Alternative hypothesis: The number of customers does not  follow  a uniform distribution

We learnt that: Carl recorded the number of customers who visited his new store during the week:

Day              Customers

Monday               17

Tuesday              13

Wednesday         14

Thursday              16

The above given data was the observed value.

However, the question progress by stating that : He expected to have 15 customers each day.

Now; we can have an expected value for each customer  as:

                      Observed Value                   Expected Value

Day                 Customers                        

Monday                17                                          15

Tuesday               13                                          15

Wednesday          14                                          15

Thursday               16                                         15

The Chi square corresponding to each data can be determined by using the formula:

\(Chi -square = \dfrac{(observed \ value - expected \ value )^2}{expected \ value}\)

For Monday:

\(Chi -square = \dfrac{(17 - 15 )^2}{15}\)

\(Chi -square = \dfrac{(2)^2}{15}\)

\(Chi - square = \dfrac{4}{15}\)

chi - square = 0.2666666667

For Tuesday :

\(Chi -square = \dfrac{(13- 15 )^2}{15}\)

\(Chi -square = \dfrac{(-2)^2}{15}\)

\(Chi - square = \dfrac{4}{15}\)

chi - square = 0.2666666667

For Wednesday :

\(Chi -square = \dfrac{(14- 15 )^2}{15}\)

\(Chi -square = \dfrac{(-1 )^2}{15}\)

\(Chi -square = \dfrac{(1 )}{15}\)

chi - square = 0.06666666667

For Thursday:

\(Chi -square = \dfrac{(16- 15 )^2}{15}\)

\(Chi -square = \dfrac{(1 )^2}{15}\)

\(Chi -square = \dfrac{(1 )}{15}\)

chi - square = 0.06666666667

                   Observed Value   Expected Value    chi - square

Day                 Customers                        

Monday                17                     15                       0.2666666667

Tuesday               13                     15                       0.2666666667

Wednesday          14                     15                       0.06666666667

Thursday               16                    15                       0.06666666667

Total :                                                                        0.6666666668

The chi - square test can be \(\approx\) 0.667

At level of significance ∝ = 0.10

degree of freedom = n - 1

degree of freedom = 4 - 1

degree of freedom = 3

At ∝ = 0.10 and df = 3

The p - value for the chi - square test statistics is 0.880937

Decision rule: If the p - value is greater than the level of significance , we fail to reject the null hypothesis

Conclusion: Since the p - value is greater than the level of significance , we fail to reject the null hypothesis and conclude that there is insufficient evidence to show that the number of customers does not follows a uniform distribution.

Answer:.67

Step-by-step explanation:

Cliff pays a total interest of approximately $679.90 on his $5,000 loan.

To calculate the total interest paid on the loan, we need to use the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:

A is the final amount (loan amount + interest)

P is the principal (loan amount)

r is the annual interest rate (in decimal form)

n is the number of times interest is compounded per year

t is the number of years

Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:

P = $5,000

r = 7% = 0.07

n = 12 (monthly compounding)

t = 2 years

\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)

Calculating this expression:

A ≈ 5000\((1.00583)^{(24)\)

A ≈ 5000(1.13598)

A ≈ 5679.90

The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):

Total Interest = A - P

Total Interest = 5679.90 - 5000

Total Interest ≈ $679.90

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The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer: Your solution is 34206

Hope this helps you!!!!

The distance from Maria's desk to Monique's desk is  \(2\sqrt{13}\)

Given,

In the question:

Maria's desk is located at (2, −1), and Monique's desk is located at (−2, 5).

To find the  distance from Maria's desk to Monique's desk.

Now, According to the question:

We know that :

The formula of Distance:

\(\sqrt{(x_{2} -x_{1} )^2+(y_{2}-y_{1} )^2}\)

Substitute (2, -1) and (-2, 5) into distance formula:

\(\sqrt{(-2-2)^2+(5+1)^2}\)

Calculate:

\(\sqrt{(-4)^2+(6)^2}\)

\(\sqrt{16+36}\\ \\\sqrt{52}\)

= \(2\sqrt{13}\)

Hence, The distance from Maria's desk to Monique's desk is  \(2\sqrt{13}\)

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Answer: square root of 52

Step-by-step explanation:

did the practice test

From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

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Answer:

19

Step-by-step explanation:

Answer:

sol: here

side a=4cm

side b=6cm

vertical length=6 cm

1/2×(4+6)×6

30 cm^2

Answer:

ok so i think its 30 MARK AS BRANLIEST BCUZ I SAVED YOU

Step-by-step explanation:

area is 1/2x6x(4+6)

then it is 3(10)

=30