Can someone help with 16 and 18

Can Someone Help With 16 And 18

Answers

Answer 1

9514 1404 393

Answer:

  16. k^5/j^3

  18. 81y^20

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c) . . . . where b may be 0

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

___

We can simplify the given expressions as follows.

16.

  [tex]\dfrac{k^6j^2}{kj^5}=k^{6-1}j^{2-5}=k^5j^{-3}=\boxed{\dfrac{k^5}{j^3}}[/tex]

__

18.

  [tex](x^{-2})^2(3xy^5)^4=(x^{-2\cdot2})(3^4x^4y^{5\cdot4})=81x^{-4+4}y^{20}=\boxed{81y^{20}}[/tex]


Related Questions

Write an equation of the line that is parallel to the given line and passes through the given point.

9. y= -2x+6 (0,-4)

10. -2x+3y=12 (3,2)


pls help me!!!!!

Answers

Answer:

9.) y=-2x-4

10.)y=2/3x

Step-by-step explanation:

Parallel lines have the same slope, different intercepts

9.) The slope is -2x

To find the parallel line

y-(-4)=-2(x-0)

y+4=-2x

y-4=-2x-4

y=-2x-4

10.) You must first put the equation in slope-intercept form.

-2x+2x+3y=2x+12

3y=2x+12

Divide by 3

3y/3=2x/3+12/3

Simplify

y=2/3x+4

Slope = 2/3x

y-2=2/3(x-3)

y-2=2/3x-6/3

y-2=2/3x-2

y-2+2=2/3x-2+2

y=2/3x

How do l solve this HELP pls

Answers

As its a Quadrilateral

Using angle sum property

[tex]\\ \sf\longmapsto 15x-5+65+100+95=360[/tex]

[tex]\\ \sf\longmapsto 15x+60+195=360[/tex]

[tex]\\ \sf\longmapsto 15x+255=360[/tex]

[tex]\\ \sf\longmapsto 15x=360-255[/tex]

[tex]\\ \sf\longmapsto 15x=105[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{105}{15}[/tex]

[tex]\\ \sf\longmapsto x=7[/tex]

The angle sum property of a quadrilateral

The sum of angles of a quadrilateral is 360°

⇛ ∠E + ∠F + ∠G + ∠H = 360°

Solution

[tex]\bf{\pink{ \implies}} \: \tt \: 95 \degree \: + \: 100 \degree \: + \: 65 \degree \: + \: (15x - 5) \degree \: = \: 360 \degree[/tex]

[tex]\bf{\pink{ \implies}} \: \tt \:260 \degree \: - \: 5 \: + \: 15x \: = \:360 \degree[/tex]

[tex]\bf{\pink{ \implies}} \: \tt \:255 \degree \: + \: 15x \: = \: 360 \degree[/tex]

[tex]\bf{\pink{ \implies}} \: \tt \:15x \: = \: 360 \degree \: - \: 255 \degree[/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \:15x \: = \: 105 \degree[/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \:x \: = \: \frac{ \cancel{105 \degree} \: \: ^{7 \degree} }{ \cancel{15}} [/tex]

[tex]\large\bf{\pink{ \implies}} \: \bf \: \: x \: = \: 7 \degree[/tex]

Question : A map of the city is made using the scale 1 cm = 18 m. If the park in the city is 90 m long,
what is its length in the map?

Answers

Answer:

5 cm

Step-by-step explanation:

We can use a ratio to solve

1 cm      x cm

-------  = ---------

18 m         90 m

Using cross products

1 * 90 = 18x

Divide each side by 18

90/18 = 18x/18

5 =x

5 cm

[tex]\bf \large \longrightarrow \: \frac{1}{18} \: \times \: \frac{x}{90} \\ [/tex]

Now , Cross Multiplying

[tex]\bf \large \longrightarrow \: \: 18x \: = \: 90[/tex]

[tex]\bf \large \longrightarrow \: \:x \: = \: \frac{90}{18} \\ [/tex]

[tex]\bf \large \longrightarrow \: \:x \: = \: \cancel\frac{90}{18} \: ^{5} \\ [/tex]

[tex]\bf \large \longrightarrow \: \:x \: = \: 5[/tex]

Hence , the length of map is 5 cm.

A bag contains 15 cups of sugar if 3/4 of a cup is needed for each batch of cookies what's the greatest number of batches of cookies that can be made with the bag of sugar

Answers

Answer:

20 batches

Step-by-step explanation:

Cups of sugar in a bag = 15

Cups of sugar per batch of cookie = 3/4 cup

Cups of sugar per batch of cookie : batch of cookies = 3/4 : 1

what's the greatest number of batches of cookies that can be made with the bag of sugar

Let

x = batches of cookies made with a bag of sugar

Cups of sugar per batch of cookie : batch of cookies = 15 : x

Equate the ratios

3/4 : 1 = 15 : x

3/4 ÷ 1 = 15/x

3/4 × 1/1 = 15/x

3/4 = 15/x

Cross product

3 * x = 4 * 15

3x = 60

x = 60/3

x = 20

x = batches of cookies made with a bag of sugar = 20 batches

The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t4 – 10t3 + 33t2 – 36t, where t is the number of months since the restaurant opened. How many months after the franchise opens will it begin to show a profit?

1 month
3 months
4 months
0 months

Answers

Answer: C. 4 months

Step-by-step explanation:

Someone in the comments said 4 months, tried it, and I got it correct so just passing it on.

By how much is 9966004321 larger than 1 billion​

Answers

I don’t know look it up I don’t have time for this

9966004321 is larger than 1 billion by 9,866,004,321.

What is comparison of two numbers?

Comparison of numbers defines the similar properties between two numbers, and the number is larger than, smaller than or equal to another number.

What is "how much larger" in math?

In Math " how much larger " indicates that we have to find the difference. So, we subtract the smaller value from the larger value.

According to the given question

We have number 9966004321

1 billion = 1,000,000,000

So, for finding how much 9966004321 is larger than 1 billion we will subtract 1 billion from 9966004321.

Therefore,

9966004321 - 1,000,000,000 = 9,866,004,321

Hence, 9966004321 is larger than 1 billion by 9,866,004,321.

Learn more about comparison of two numbers here:

https://brainly.com/question/17329628

#SPJ2

Vertices name in triangle A B C ​

Answers

Answer:

The answer is B.

I think I answered the wrong answer.

[15 points]The distance from the earth to the moon is approximately 380592 km. Assuming the moon has a circular orbit around the earth, find the distance the moon travels in orbiting the earth through an angle of 2.62 radians.

Answers

Answer:

634806 km travelled by the Moon as it orbits 2.62 radians about the Earth.

Step-by-step explanation:

convert to pi.

Tristan wants to build a Square Garden in his backyard that will cover an area of 75 ft.² if Tristan has 32 feet of material for the parimeter are the garden does he have enough explain

Answers

Answer:

u47464 is not working properly a lot and a new message was delivered at a loss or so to do a little better for your help you

A 32-ft pipe must be cut into three pieces. The longest piece will be twice as long as the shortest piece, and the medium-sized piece will be 4 feet longer than the shortest piece. Find the length of each piece of pipe.

Answers

Answer:

7, 11, 14 feet from shortest to longest

Step-by-step explanation:

Let's say that the shortest pipe is equal to x, and work from there.

The medium size piece is 4 feet longer than the shortest piece, so it is equal to 4+x

The longest piece is twice as long as the shortest piece, so it is equal to 2 * x.

The three pieces added up make up the 32 feet pipe, so we can write this as

(2*x) + (4+x) + x = 32

2*x + 4 + x + x = 32

4 * x + 4 = 32

subtract 4 from both sides to isolate the x and its coefficient

4 * x = 28

divide both sides by 4 to isolate the x

x= 7

Therefore, the shortest piece is x=7 feet long. The medium piece is x+4=11 feet long, and the longest piece is x*2=14 feet long

In how many ways can 10 people be divided into three groups of 2, 3, and 5 people respectively

Answers

Given:

Total number of people = 10

To find:

The number of ways in which 10 people can be divided into three groups of 2, 3, and 5 people respectively.

Solution:

We know that the number of ways to select r items form n times is:

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

The number of ways to select 2 people from 10 is [tex]^{10}C_2[/tex].

The number of remaining people is [tex]10-2=8[/tex].

The number of ways to select 3 people from 8 is [tex]^{8}C_3[/tex].

The number of remaining people is [tex]8-3=5[/tex].

The number of ways to select 5 people from 5 is [tex]^{5}C_5[/tex].

Now, the total number of ways is:

[tex]Total=^{10}C_2\cdot ^{8}C_3\cdot ^{5}C_5[/tex]

[tex]Total=\dfrac{10!}{2!(10-2)!}\cdot \dfrac{8!}{3!(8-3)!}\cdot \dfrac{5!}{5!(5-5)!}[/tex]

[tex]Total=\dfrac{10\times 9\times 8!}{2\times 1\times 8!}\cdot \dfrac{8\times 7\times 6\times 5!}{3\times 2\times 1\times 5!}\cdot 1[/tex]

[tex]Total=45\cdot 56\cdot 1[/tex]

[tex]Total=2520[/tex]

Therefore, the total number of ways is 2520 to divide 10 people into three groups of 2, 3, and 5 people respectively.

simplify3³×9²×125³÷9³

Answers

Answer:

Step-by-step explanation:

Prime factorize 9 and 125

9 =  3* 3 = 3²

125 = 5 * 5 * 5 = 5³

3³ * 9² * 125³ ÷ 9³ = [tex]\frac{3^{3}*(3^{2})^{2}*(5^{3})^{3}}{(3^{2})^{3}}\\[/tex]

                            [tex]= \frac{3^{3}*3^{4}*5^{9}}{3^{6}}\\\\=\frac{3^{3+4}*5^{9}}{3^{6}}\\\\= \frac{3^{7}*5^{9}}{3^{6}}\\\\=3^{7-6}*5^{9}\\=3*5^{9}[/tex]

Exponent laws:

[tex](a^{m})^{n}=a^{m*n}\\\\\\a^{m}*a^{n} = a^{m +n}\\\\\\\frac{a^{m}}{a^{n}}=a^{m-n} \ ; \ m > n[/tex]

I really need help……

Answers

Answer:

Option C

Step-by-step explanation:

A function's input is assigned to exactly one output. Any input must not repeat.

Option A's not a function because the input of 3 repeats.

Option B's not a function because the input of -4 repeats.

Option C's a function because no inputs repeat.

Option D's not a function because the input of 5 repeats.

Hope this helps.

What is the value of 4x2 + 5x - 8, if x = 3?

Answers

Answer: 43

Step-by-step explanation:

Concept:

Here, we need to understand the idea of evaluation.

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

**Disclaimer** I assume that the expression is [4x² + 5x - 8]. If it was, then you may refer to my answer. If it was not, then you may point it out and I will redo it.

Given

4x² + 5x - 8

x = 3

Substitute the value of x

4(3)² + 5(3) - 8

Simplify exponents

4(9) + 5(3) - 8

Simplify multiplication

36 + 15 - 8

Final subtraction and addition

43

Hope this helps!! :)

Please let me know if you have any questions


A stock lost 8 3/8 points on Monday and then another 1 5/8 points on Tuesday. On Wednesday, it gained 13 points. What was the
net gain or loss of the stock for these three days?

Answers

Answer:

The stock in last three days has a net gain of 3.

Step-by-step explanation:

The net change of the stock is the sum of daily changes in last three days. Please notice that positive sign means means for gain, whereas negative one is for loss. Based on information given on statement, we determine the net change in the stock:

[tex]x = -\left(8 + \frac{3}{8} \right)-\left(1+\frac{5}{8} \right) + 13[/tex]

[tex]x = 3[/tex]

The stock in last three days has a net gain of 3.

una caja contiene 2 bolitas blancas y 3 blancas .la probabilidad de que la primera extraída sea blanca y la segunda sea negra , sin reponer la primera

Answers

si cinco son blancas como va a ver una negra ?

Will give brainliest plz answer quick

Answers

Answer:

65

Step-by-step explanation:

Exterior angle = Sum of 2 interior angles

x + 31 = x + x - 34

x + 31 = 2x - 34

x - 2x = - 34 - 31

- x = - 65

x = 65

Step-by-step explanation:

A triangle's angles add up to 180°, and a straight line is 180 degrees, so 180 - x + 31 is the interior angle that isn't labeled.

[tex]x+x-34+180-x-31=180[/tex]

[tex]x=180-115[/tex]

[tex]x=65[/tex]

Can someone help me calculating the area of the whole figure? ​

Answers

Answer:

5•5= 25 (5•5)÷2= 12.5  25+12.5=37.5

Step-by-step explanation:

MY HOMEWORK IS DUE SOON!!! PLEASE HELP

Answers

Answer:

7.07143

Step-by-step explanation:

Diameter: 18

Angle: 45

Radius: 9


Adam is three years older than Joe. After three years, Adam’s age will be four years less than two times Joe's age. Considering Adam's present age as x years and Joe’s present age as y years, write a pair of linear equations to model the above situation.

Answers

Answer:

2y=2y-4=x

Step-by-step explanation:

find the shaded area ..

Answers

Answer:

39°

Step-by-step explanation:

The angle adjacent to 115° in the lower triangle = 180° - 115° = 65°

angle on circle in lower triangle

= 180° - (65 + 76)°  ← angle sum in triangle

= 180° - 141° = 39°

Angles on the circle subtended from the same arc are congruent, then

shaded angle = 39°

PICTURE) Could someone please correct my answer and explain 6 for me marking brainliest

Answers

Answer:

For number 5, it is D

For number 6, it is A

Step-by-step explanation:

For number 5, we have the dimensions options here.

We first need to check to see if all the choices give the perimeter of 34, as sometimes there are trick answers.

We know the 34 is the perimeter because we are looking for area, so we add the two given numbers and double it to find the perimeter since we have the length and width.

*(Formula for perimeter is 2(L + W)  )

(I already checked them all, and they all give to be 34 so they are all safe.)

Then we find the areas of each.

*(Formula for area is L * W   {the " * " symbol represents multiplication.)

We multiply 12 by 5 to get 60.

We multiply 13 by 4 to get 52.

We multiply 10 by 7 to get 70.

We multiply 9 by 8 to get 72.

Since we are looking for the greatest area, we look for the greatest number, which is the 72.

Therefore the 9 by 8 option, or D is correct.

For number 6, we are looking for the minimum perimeter and we have the area, so we set the same thing up except modified slightly.

We first check if all the areas are 64 to look for a trick answer.

We multiply 8 by 8 to get 64.

We multiply 1 by 64 to get 64.

We multiply 6 by 6 to get 36. (WHAT?!!?!! omg me big brain lolza. {nah jk})

We multiply 32 by 2 to get 64.

So we know the 6 by 6 option or C is wrong.

Then we look for the perimeters of the dimension solutions.

(This will skip C so it will go A, B, and then D, since we know C is incorrect and is unrelated now.)

2 ( 8 + 8 ) =  32

2 ( 1 + 64 ) =  130

2 ( 32 + 2 ) =  68.

Since we are looking for the smallest perimeter, it is the smallest answer this time.

So it must be A, since 32 is the smallest.

Hope this helps!

Can someone please explain this step by step.

Answers

Answer:

-5 and 2

-3 and 0

-2 and -1

...gives -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-5,2), (-2,-1), (-3,0)

all pairs add up to -3


2. Find a true inequality that involves the real number 5/4

Answers

Answer:

c

Step-by-step explanation:

5/4>6/5

multiply by 20

25>24

which is true.

How to do this question

Answers

Answer:

Step-by-step explanation:

Answered by G a u t h m a t h

Please mark it as brainliest & thank it if it helped you

Need help ASAP rocky ! Help needed

Answers

Answer:

x/x∈R,x≤5 1/6

Step-by-step explanation:

I need help
Center?
Radius?

Answers

Answers:

Center = (1, 5)

Radius = 3

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

Work Shown:

[tex]x^2+y^2-2x-10y+17 = 0\\\\(x^2-2x)+(y^2-10y)+17 = 0\\\\(x^2-2x+0)+(y^2-10y+0)+17 = 0\\\\(x^2-2x+1-1)+(y^2-10y+25-25)+17 = 0\\\\(x^2-2x+1)+(y^2-10y+25)+(-1-25+17) = 0\\\\(x-1)^2+(y-5)^2-9 = 0\\\\(x-1)^2+(y-5)^2 = 9\\\\(x-1)^2+(y-5)^2 = 3^2[/tex]

----------------------

Explanation:

The idea is to complete the square for the x and y terms separately.

Notice the jump from step 3 to step 4 has the first 0 turn into 1-1, and the second 0 turn into 25-25. This is to help complete the square for each part.

The x^2-2x+1 factors to (x-1)^2 and y^2-10y+25 factors to (y-5)^2

Once we reach the last step, we have something in the form [tex](x-h)^2+(y-k)^2 = r^2[/tex]

Center = (h,k) = (1,5)

Radius = r = 3

Find the sum... 6.87 + 2.39

Answers

Answer:

9.26

Step-by-step explanation:

Using the table, we can deduce that:

6+2 = 8

8+3=11

7+9=16

Using addition rules:

The '1' in the 11 moves and is added to the 'ones' place.

The '1' in the 16 moves and is added to the 'hundredths' place.

Thus,

8+1 . (1+1) (6)

9.26

It is also most certainly possible to use a calculator, which is much, much easier.

Find the sum... 6.87 + 2.39

6.87 + 2.39=9.26                                                                                                

What is the value of x?

Answers

Answer:

x=5

Step-by-step explanation:

Since both of these length are equal, 6x+4=8x-6, 2x=10, x=5

HELP!


what is the y-intercept of the function f(x)=5*(1/6)^x

Answers

Answer:

The y intercept is (0,5)

Step-by-step explanation:

f(x) = 5 * (1/6)^x

What is the y intercept?  Let x = 0

f(0) = 5 * (1/6)^0

f(0) = 5*1 = 0

The y intercept is (0,5)

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