I need help with this question:(

Answer:

  JL = 54

Step-by-step explanation:

When K is the midpoint of JL, we have ...

  JK + KL = JL

and

  JK = KL

Using this latter equation, we can substitute the given expressions to get

  (8x+11) = (14x -1)

  12 = 6x . . . . . . . . . add 1-8x to both sides

  2 = x

Using this, we can find JL.

  JK = 8x +11 = 8(2) +11 = 27

  KL = JK = 27

  JL = JL +KL = 27 +27

  JL = 54

Answer: 25%

Step-by-step explanation:

Is this what you wanted if sorry.

9514 1404 393

Answer:

  9

Step-by-step explanation:

"Varies directly" means the values change by the same factor. Here, we have y increasing from 13 to 39, by a factor of 3.

Since x varies directly as y, it, too, will increase by a factor of 3:

  x = 3·3

  x = 9

__

Alternate solution

"Varies directly" is another way to say the values are proportional. Then the new value of x can be found from ...

  x-value/y-value = 3/13 = x/39

Multiplying by 39 gives ...

  x = 39(3/13) = 3·3

  x = 9

There are 658,008 ways to choose 5 non-Polluted lakes from the remaining 79 lakes.

To determine the number of ways to choose one polluted lake and five non-polluted lakes from a sample of 80 lakes, we can use the concept of combinations.

The total number of ways to choose a group of lakes from a larger set is given by the formula for combinations, which is denoted as "n choose r" and calculated as:

C(n, r) = n! / (r!(n-r)!)

Where n represents the total number of lakes and r represents the number of lakes to be chosen.

In this case, there are 80 lakes in the sample and we want to choose 1 polluted lake and 5 non-polluted lakes. Therefore, we have:

n = 80 (total number of lakes)

r = 1 (number of polluted lakes to be chosen)

Using the combination formula, we can calculate:

C(80, 1) = 80! / (1!(80-1)!)

         = 80! / (1! * 79!)

         = 80

So there are 80 ways to choose 1 polluted lake from the sample of 80 lakes.

Next, we want to choose 5 non-polluted lakes from the remaining 79 lakes (after choosing 1 polluted lake). Using the combination formula again:

C(79, 5) = 79! / (5!(79-5)!)

         = 79! / (5! * 74!)

         = 79 * 78 * 77 * 76 * 75 / (5 * 4 * 3 * 2 * 1)

         = 658,008

Therefore, there are 658,008 ways to choose 5 non-polluted lakes from the remaining 79 lakes.

To find the total number of ways to choose one polluted lake and five non-polluted lakes, we multiply the number of ways for each category:

Total number of ways = 80 * 658,008

                   = 52,640,640

Hence, there are 52,640,640 ways to choose one polluted lake and five non-polluted lakes from the given sample of 80 lakes.

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The lower specification limit (LSL) for the plastic liner is 3.9 mm (rounded to three decimal places).

To calculate the upper specification limit (USL) for the plastic liner, we know that it lies about 5 standard deviations (σ) from the centerline or mean thickness. The process has a mean thickness of 4.0 mm and a standard deviation (σ) of 0.02 mm.

So, the USL can be calculated as follows:

USL = Mean + (5 * σ)

= 4.0 mm + (5 * 0.02 mm)

= 4.0 mm + 0.1 mm

= 4.1 mm

Therefore, the upper specification limit (USL) for the plastic liner in this highway project is 4.1 mm (rounded to three decimal places).

Similarly, the lower specification limit (LSL) can be calculated by subtracting 5 standard deviations from the mean thickness:

LSL = Mean - (5 * σ)

= 4.0 mm - (5 * 0.02 mm)

= 4.0 mm - 0.1 mm

= 3.9 mm

Therefore, the lower specification limit (LSL) for the plastic liner is 3.9 mm (rounded to three decimal places).

It's worth noting that the given information also mentions the process capability index (Cpk), which is a measure of how well the process meets the specifications. In this case, the Cpk is calculated as (USL - Mean) / (3 * σ), and it is determined to be 1.667 (rounded to three decimal places).

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Answer:

A a reflection across line k followed by a translation down

Step-by-step explanation:

EDGE 2020

Answer:

a reflection across line k followed by a translation down

Step-by-step explanation:

The answer above is correct.

Answer: the answer is b 3<_ x<_7 or x is between 3 and 7, inclusive

Step-by-step explanation:

Answer:

Step 3

Step-by-step explanation:

The exponents haven't been solved right.

For powers when multiple you add them together

Answer: 17²

Step-by-step explanation:

Answer:

a zero

b commutative

The possible Values of x are x = 0 and x = 8/5.

To find the value of x in the given geometric progression, we need to determine the common ratio between consecutive terms.

Let the first term of the geometric progression be a, and let the common ratio be r. Then, we can write the second term as ar, the fourth term as ar^3, and the sixth term as ar^5.

Given that the second term is 2x - 4, the fourth term is 13x + 4, and the sixth term is 122x - 4, we can set up the following equations:

ar = 2x - 4    (equation 1)

ar^3 = 13x + 4    (equation 2)

ar^5 = 122x - 4    (equation 3)

To solve these equations, we can divide equation 2 by equation 1, and equation 3 by equation 2:

(ar^3) / (ar) = (13x + 4) / (2x - 4)

(ar^5) / (ar^3) = (122x - 4) / (13x + 4)

Simplifying these equations, we get:

r^2 = (13x + 4) / (2x - 4)    (equation 4)

r^2 = (122x - 4) / (13x + 4)    (equation 5)

Since the common ratio r is the same in both equations, we can equate the right sides of equations 4 and 5:

(13x + 4) / (2x - 4) = (122x - 4) / (13x + 4)

To solve this equation for x, we can cross-multiply and simplify:

(13x + 4)(13x + 4) = (2x - 4)(122x - 4)

169x^2 + 104x + 16 = 244x^2 - 16x - 1

Simplifying further, we get:

75x^2 - 120x = 0

15x(5x - 8) = 0

This equation is satisfied when either 15x = 0 or 5x - 8 = 0.

If 15x = 0, then x = 0.

If 5x - 8 = 0, then x = 8/5.

Therefore, the possible values of x are x = 0 and x = 8/5.

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The value of x in the given geometric progression is 2.

In a geometric progression, the ratio between each consecutive pair of terms is the same. Therefore, we can identify that the common ratio in our case is equal to the ratio (13x+4) / (2x-4). We can also find the ratio between the second term and the third term, which is (122x-4) / (13x+4). Since both these ratios must be the same, we can set them equal to each other and solve for x.

So, we end up with the equation: (13x + 4) / (2x - 4) = (122x - 4) / (13x + 4), simplifying this equation would give us x = 2.

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Answer:

X & Y offer the same discount of 900

Step-by-step explanation:

[tex] \frac{1}{5} = \frac{3}{15} [/tex]

In this scenario, both shops offer the same discount.

[tex]4500( 1 - \frac{1}{5} ) = 3600 \\ \\ 4500(1 - \frac{3}{15} ) = 3600[/tex]

Answer:

500 centimeters

Step-by-step explanation:

Answer:

500 Centimeters

Step-by-step explanation:

Answer:32

Step-by-step explanation:You have to Add to get your answer.I'll show you how I got 32:

5+3=8

8+19=27

27+5=32

Your answer is: 32

The probability of randomly meeting a three-child family with either exactly one or exactly two boy children is 3/4.

The events described are non-overlapping. Let E be the event of randomly meeting a three-child family with exactly one boy child.

Let F be the event of randomly meeting a three-child family with exactly two boy children.

P(E) = probability of meeting a family with exactly one boy child

P(F) = probability of meeting a family with exactly two boy children

Given that the events E and F are non-overlapping.

So, we can use the formula of either/or probability:

P(E or F) = P(E) + P(F)P(E or F)

= probability of meeting a family with exactly one or two boy children

P(E or F) = P(E) + P(F)P(E or F)

= (number of ways to get a family with exactly one boy child) / (total number of three-child families) + (number of ways to get a family with exactly two boy children) / (total number of three-child families)

P(E or F) = (3 * 2 * 1) / (2 * 2 * 2 * 3) + (3 * 2 * 1) / (2 * 2 * 2 * 3)

P(E or F) = 6/8

P(E or F) = 3/4

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Answer:

(g · h)(5) = -50

Step-by-step explanation:

Step 1: Define

h(x) = x - 7

g(x) = x²

Step 2: Find (g · h)(x)

(g · h)(x) = x²(x - 7)

(g · h)(x) = x³ - 7x²

Step 3: Find (g · h)(5)

(g · h)(5) = 5³ - 7(5)²

(g · h)(5) = 125 - 7(25)

(g · h)(5) = 125 - 175

(g · h)(5) = -50

Answer:

Hi you

Hope that will help you

Nice time

Answer:

Im pretty sure it is

1 1/2 sq ft per hour

3/4 in 2/4

Double it

1 2/4 in 1

Simplifies to 1 1/2

The unit rate that fertilizer cover is 3/2 square foot.

The unitary technique involves first determining the value of a single unit,  followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A fertilizer covers 3/4 square foot in 1/2 hour.

So, unit rate fertilizer covers

= 3/4 x 2

= 3/2 square foot.

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Answer:

2.3 b

Step-by-step explanation:

i got it right

Answer:

2.3 i did quiz

Step-by-step explanation:

i know im late sorry

Answer:

no change as mode is what appears the most and there is no other 35 :)

brainliest plz

Step-by-step explanation:

Answer:

a+3

Step-by-step explanation:

8 + 3a + 2a + 0 + 7                   Collect the like terms

5a + 15                                      To get the mean, divide by 5

5a/5+ 15/5

a + 3

Answer:

 d=4

Explanation:

a sum of three times a number d and 6 is 17    =   3d+5=17

sum: +

three times: 3 x ?

number d : variable

and 6 : +6

is 17: =17

Solve:

3d+5=17

    -5   -5

3d=12

/3    /3

d=4

Answer: 7.38

We have to divide the number 458 by 62.

458 ÷ 62 = 7.387...

We have to make this decimal shorter.

We get the number 7.38 while rounding to the nearest tenth.

The answer is 7.38. Hope this helps!

The volume of the solid obtained by rotating the region enclosed by y=x², x=y² about the line x=−7 can be computed using the method of discs or washers via an integral.

The given region enclosed by y=x², x=y² can be represented as:

As we need to rotate the region about the line x = -7, then we need to perform the following transformation:

x = t - 7So, the region enclosed by y=x², x=y² can be represented as:

y = (t - 7)², t = y²

The limits of integration of the variable 't' will be a = 0 and b = 1

As we are using the method of cylindrical shells, then the volume of the solid obtained can be represented as:

V = 2π∫₀¹ (y)(t(y)) dy

where, (y)(t(y)) = (t - 7)²

The integral can be written as:

V = 2π∫₀¹ (t - 7)² dy

By substituting t = √y, we have the following:

dt/dy = 1/2y^(-1/2)

Therefore, the integral becomes:

V = 2π∫₀¹ (t - 7)²

dy= 2π∫₀¹ (√y - 7)²

dy= 2π∫₀¹ y - 14√y + 49

dy= 2π[(1/2)y² - (28/3)y^(3/2) + 49y] from 0 to 1

By substituting the limits of integration a = 0 and b = 1, we have:

V = 2π[(1/2) - (28/3) + 49] = 2π[97/6]

Therefore, the volume of the solid obtained is V = 97π/3 square units.

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Answer:

Step-by-step explanation:

perimeter P = 2L + 2W

where

Perimeter P = 56 m

Width W = L - 8 m

find:

length L

width W

solution:

just plugin the values into the formula:

P = 2L + 2W

56 = 2L + 2(L - 8)

56 = 2L + 2L - 16

56 + 16 = 4L

L = 72/4

L = 18 m

solve for W:

substitute L=18 back into the equation W=L-8

W = 18 - 8

W = 10 m

therefore:

length L = 18 m

Width W = 10 m

proof:

56 = 2(18) + 2(10)

56 = 36 + 20

56 = 56 ----- OK

Answer:

Step-by-step explanation:

To Find :

[tex] \sf \dashrightarrow \: \frac{4 {}^{8} }{(4 {}^{2} {)}^{ - 3} } \div {4}^{4} = 4 {}^{n} \\ \\ \sf \dashrightarrow \: \frac{4 {}^{8} }{ {4}^{ - 6} } \div {4}^{4} = 4 {}^{n} \\ \\ \sf \dashrightarrow \: {4}^{8 - ( - 6)} \div {4}^{4} = {4}^{n} \\ \\ \sf \dashrightarrow \: {4}^{8 + 6} \div {4}^{4} = {4}^{n} \\ \\ \sf \dashrightarrow \: {4}^{14} \div {4}^{4} = {4}^{n} \\ \\ \sf \dashrightarrow \: {4}^{14 - 4} = {4}^{n} \\ \\ \sf \dashrightarrow \: {4}^{10} = 4 {}^{n} \\ \\ \red{\boxed{ \bf \: n = 10}}[/tex]

Answer:

I can't understand your question. what is the meaning of these 3, 4 ,16 in your question

Hmmmm

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