Given that QRST is a kite and that ST=TQ, find ST.

Based on the given responses, the student who factored 20x^6 = (2x)(10x^5) correctly is Andrei. Therefore, the correct answer is (Choice A) Andrei.

Among the given responses, the student who factored 20x^6 = 20, x to the power of 6 correctly is Andrei. Andrei's factorization is (2x)(10x^5), which correctly represents the original term 20x^6. Therefore, the correct answer is (Choice A) Andrei.

Amit's factorization is (4x^3)(5x^3), which is incorrect because it breaks down the term into two factors with the same exponent, while the original term has an exponent of 6.

Andrew's factorization is (20x^2)(x^3), which is also incorrect as it does not accurately represent the original term 20x^6.

Hence, the only student who correctly factored 20x^6 = 20, x to the power of 6 is Andrei.

The right answer is A. Andrei who factored 20x^6 = (2x)(10x^5) correctly.

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Answer:

3hrs to paint by Mary

8hr for Brian to paint

so together, Brian and Mary mean you add the two

together 3hrs

and 8hrs

equals 11 hrs

3+8=11

Answer:

Let's denote:

- The number of orders Diane served as `D`

- The number of orders Sam served as `S`

- The number of orders Boris served as `B`

From the problem, we know:

1. `D + S + B = 54` (the total number of orders they served)

2. `D = S - 6` (Diane served 6 fewer orders than Sam)

3. `B = 2S` (Boris served 2 times as many orders as Sam)

We can substitute equations 2 and 3 into equation 1 to solve for the variables:

Substitute `D` and `B` in equation 1:

`(S - 6) + S + 2S = 54`

Combine like terms:

`4S - 6 = 54`

Add 6 to both sides:

`4S = 60`

Divide by 4:

`S = 15`

Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:

`D = S - 6 = 15 - 6 = 9`

`B = 2S = 2 * 15 = 30`

So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.

Answer:

a) Capacities : station 1 = 3.5 , station 2 = 3.5

  Both stations have the same capacity

b) 3.5 ( it does not differ from a )

c) The value will double i.e. 3.5 * 2 = 7

Step-by-step explanation:

a) compute the capacity of each station and show if the line is balanced

for station 1

Units :            1 ,2 ,3, 4 ,5, 6

probabilities :   1/6 ( same value for all units )

for station 2

units :             3, 4

probabilities :  1/2   1/2

Capacity of station 1= ( 1/6 * 1 ) + ( 1/6 *2 ) + ( 1/6 *3) + (1/6 *4) + (1/6*5) + (1/6*6 )

                                =  3.5  

Capacity of station 2 = ( 1/2 * 3 ) + ( 1/2 * 4 )

                                  = 3.5

∴ both stations have the same capacity

B) Expected throughput of the line

= Min( capacity of station 1 , capacity of station 2 )

= 3.5  ( It does not differ from a )

C) When an additional identical machine is added to both stations the expected throughput of the line will be doubled

i.e. expected throughput = ( 3.5 ) * 2 = 7

Answer:

The Area of the trapezium is \(60cm^2\)

Step-by-step explanation:

Given,

Height (h)= 8cm

Sum of the parallel sides (a+b)= 15cm

Area of trapezium = \(1/2*h*(a+b)\)

                              =\(1/2*8*15\)

                              =\(4*15\)

Area of trapezium=60cm^2

Answer: Area = 60 cm²

Step-by-step explanation:

To find the area of a trapezium we use the formula

Area of trapezium = 1/2 (sum of parallel sides) × height

∴ Area = 1/2 ×15 cm × 8 cm

           = 60 cm²

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Answer:23(22.95684113865932)

Step-by-step explanation:

Answer:

tis is not confirmed aswer

Step-by-step explanation:

daily commission: 27%

Answer:

The expression f(0) represents the y-intercept on the graph of f(x). The y-intercept of a graph is the point where the graph crosses the y-axis.

Step-by-step explanation:

HOPE IT HELPS ❤

Answer:

12

Step-by-step explanation:

Doing the test rn

Given:

a.) One troop member sold tickets for 20 crab meals and 8 vegetarian meals, with total receipts of $796.

b.) Another sold tickets for 26 crab meals and 34 vegetarian meals, bringing in a total of $1,554.

Let,

x = cost of a crab meal

y = cost of a vegetarian meal

Let's solve this using the Substitution Method.

We get,

Equation 1: One troop member sold tickets for 20 crab meals and 8 vegetarian meals, with total receipts of $796.

Equation 2: Another sold tickets for 26 crab meals and 34 vegetarian meals, bringing in a total of $1,554.

Substitute Eq. 1 to Eq. 2

20x + 8y = 796

8y = 796 - 20x

y = (796 - 20x)/8

y = 199/2 - 5x/2

26x + 34y = 1,554

26x + 6,766/2 - 170x/2 = 1,554

26x + 3,383 - 85x = 1,554

-59x = 1,554 - 3,383

-59x = -1,829

-59x/-59 = -1,829/-59

x = 31 = $31

Therefore, the crab meal costs $31.

For the vegetarian meal,

20x + 8y = 796

20(31) + 8y = 796

620 + 8y = 796

8y = 796 - 620

8y = 176

8y/8 = 176/8

y = 22 = $22

Therefore, the vegetarian meal costs $22.

Answer:

Let A bc the first number

Let B be the second number

Let C be the third number

A= b+6

C= 3a

Step-by-step explanation:

Hope this helps :) Have a great day!!!!

Answer:

$2.10

Step-by-step explanation:

8.40÷4=2.1

Therefore, the price for 1 lb of grapes is $2.10.

Answer:

The answer is A

Step-by-step explanation:

Triangle DEF was rotated and dilated so that's why is looks different than triangle ABC, but it maintained the same shape that is presented in ABC and that is why A is the answer.

Answer:

60 miles

Step-by-step explanation:

Since 1 inch on the map equals 20 miles, you just have to multiply 3 by 20.

3x20=60

Answer:804,000,000,000 & 8.0e+11

Step-by-step explanation:

logic

The solution to the system of equations is x = 1/2, y = 1/4.

To find the solution to a system of equations from a graph, we need to locate the point where the two lines intersect. This point represents the solution to the system of equations, as it satisfies both equations simultaneously.

From the graph, the x value and y value of the point of intersection is approximately x = 1/2 and y = 1/4.

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The principal amount was £1260, and the annual interest rate is 5.5%.

Given that, Olivia gets £1606.50 and £1675.80 after 5 years and 6 years of investment in simple interest respectively.

SI = principal × rate × time / 100

So,

P + 5pr = £1606.50

P = £1606.50 - 5pr............(i)

P + 6pr = £1675.80

P = £1675.80 - 6pr.........(ii)

Therefore,

£1606.50 - 5pr = £1675.80 - 6pr

Pr = 69.3

Put the value of pr in eq(i)

P + 5(69.3) = 1606.50

P = 1606.5 - 346.5

P = 1260

Now,

(1260)r = 69.3

r = 0.055

The annual interest is 5.5%

Hence, the principal amount was £1260, and the annual interest rate is 5.5%.

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Answer:

the number of days for the current lead time is 5 days

Step-by-step explanation:

The computation of the number of days for the current lead time is shown below:

Given that

According to Littles law,

Lead Time = Work in Progress ÷ Average Completion Rate

where,

Work in Progress = 20 quotes

And,

Average completion rate = 4 quotes per day

So lead time is

= 20 quotes ÷ 4 quotes

= 5 days

Hence, the number of days for the current lead time is 5 days

Answer:

x=2

Step-by-step explanation:

Hope it helps you!

The equation for total cost of buying and shipping the records is

76.4x + 80

We have,

She buys 3 in good condition

So, the cost for 3 good condition

= 3 (10.5x)

= 31.5 x

and, She buys 1 in Fair condition

So, the for 1 fair condition

= 5x

and, She buy 2 new condition then the price is

= 39.9 x

So, the equation for total cost of buying and shipping the records is

= 31.5x + 5x + 39.9x + 8

= 76.4x + 8

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Answer: y = -12x +20

Step-by-step explanation: 1. distribute the -12 into the (x-2), that equals -12+24

2. subtract the 4 from the left side to move it to the right side of the equation

3. add like terms, so 24 + (-4) or 24-4 which equals 20.

4. Answer: y=-12x+20

Answer:

a)

\(4ydy = xdx\)

\(2 {y}^{2} = \frac{1}{2} {x}^{2} + c\)

\( {y}^{2} = \frac{1}{4} {x}^{2} + c \)

\( {y}^{2} - \frac{1}{4} {x}^{2} = c \)

b)

c = 4, so

\( {y}^{2} = \frac{1}{4} {x}^{2} + 4\)

\(y = - \sqrt{ \frac{1}{4} {x}^{2} + 4} \)

\(y = - \frac{ \sqrt{ {x}^{2} + 16} }{2} \)

In the above problem, the annual interest rate on this loan is 1.15%, rounded to the nearest percent.

To calculate the annual interest rate on this loan, we can use the following formula:

r = (I / P) / n

where r is the annual interest rate, I is the total amount of interest paid over the life of the loan, P is the initial loan amount, and n is the number of years for the loan.

Using the information provided in the amortization schedule, we can calculate I as the sum of all the interest payments:

I = 750 + 748.92 + 216.45 = 1715.37

We can calculate P as the initial balance on the loan:

P = 149,783.55

Since the loan is being paid off over 123 months, we can calculate n as:

n = 123 / 12 = 10.25

Substituting these values into the formula for r, we get:

r = (1715.37 / 149,783.55) / 10.25

r = 0.0115

To convert this to a percentage, we multiply by 100:

r = 1.15%

Therefore, the annual interest rate on this loan is 1.15%, rounded to the nearest percent.

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Given:

Find-: Inverse

Sol:

Unit matrix then:

Convert A as unit matrix then:

So inverse of function is:

\((\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{3}}} \implies \cfrac{ 3 }{ 1 } \implies \text{\LARGE 3}\)

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Answer:

Step-by-step explanation:

C:27

Plzz give me brainliest

\(\\ \sf\longmapsto y=\dfrac{(x+2)}{(x+2)(x-17)}\)

\(\\ \sf\longmapsto y=\dfrac{x+2}{x(x-17)+2(x-17)}\)

\(\\ \sf\longmapsto y=\dfrac{x+2}{x^2-17x+2x-34}\)

\(\\ \sf\longmapsto y=\dfrac{x+2}{x^2-15x-34}\)

\(\\ \sf\longmapsto 6=\dfrac{x+2}{x^2-15x-34}\)

\(\\ \sf\longmapsto 6(x^2-15x-34)-x-2=0\)

\(\\ \sf\longmapsto 6x^2-90x-204-x-2=0\)

\(\\ \sf\longmapsto 6x^2-91x-206=0\)

Done

_________

\(\:\)

Answer in the picture.