If c1 and c2 are real numbers, give the relationship between them that will allow you to find solutions for the equation x^n + c1 = c2, regardless of the value of n.

Answers

Answer 1
so solving for x

minus c1 from both sides

x^n=c2-c1
take the nth root of both sides
[tex]x=\sqrt[n]{c_2-c_1}[/tex]

dunno about the relationship between them but that's what x is

Related Questions

Ken ordered 4/5 of a ton of sand. He wants to recieve 1/3 now and 2/3 later. What fraction of a ton of sand should he recieve now?

Answers

4/15 of the sand. Multiply 4/5 by 1/3.

divide
27,092÷45=

a.646 r22
b.624 r12
c.620 r2
d.602 r2

Answers

D is the answer 602 r2
The answer is D. 602 r2

A company designs a logo using a kite figure around the letter t.
The logo is 12 centimeters wide and 16 centimeters tall. What is the area of the logo ?

Answers

area = 12x16 / 2 = 96

answer
B. 96 sq. cm

Answer:

it is indeed B.96

Step-by-step explanation:

Each pack of hot dogs contains 10 hot dogs (no buns), but each pack of hot dog buns contains 8 buns. Phil buys a number of these packs for a barbecue. After the barbecue, Phil finds that he has 4 hot dogs left over. What is the SECOND smallest number of packs of hot dogs he could have bought?

Answers

hmmm

we might need to find greatest common denomenator?
or we could just do trial and error

hmm

wait a minute

lets do this
d=number of hot dog packs
b=number of hot dog bbuns

the number of hot dogs is 4 more than the number of buns
10d=4+8b
divide both sides by 2 to make it easier
5d=2+4b

one way is to do trial and error

try values of d and find what values work for b (remember, all whole values)
if d=1, no value works for b
if d=2, b=2
that is the smallest value
keep going up
if d=3, no value works for b
if d=4, no value works for b
if d=5, no value works for b
if d=6, b=7


so 6 packs is the answer
Final answer:

The second smallest number of packs of hot dogs that Phil could have bought is three. This gives him 30 hot dogs, and after eating some, he would be left with 4. The number 30 ends with a 0 and when 4 is subtracted from it, it does result in a number ending in 4 (26 in this case).

Explanation:

To solve this problem, we need to understand that Phil must have bought a number of hot dog packs where the total number of hot dogs (10 per pack) ends with a 4. This is because after eating some, he had 4 hot dogs leftover. If he bought 1 pack of hot dogs, he'd have 10. This does not work because it doesn't end with 4. However, if Phil bought 2 packs, this would give him 20 hot dogs, which does end with 0.

We need to continue on this pattern, using multiples of 10, until we find the second smallest number that, when 4 is subtracted from it, leaves a number ending in 4. That number is 30, which gives 30 hot dogs. After eating some, he would be left over with 4 dogs, hence he has eaten 26 dogs (30-4=26). This means, the second smallest number of hot dog packs Phil could have bought is three.

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How does changing the function from f(x) = −4 cos 3x to g(x) = −4 cos 3x − 6 affect the range of the function?

The function shifts down 4 units, so the range changes from −4 to 4 in f(x) to −8 to 0 in g(x).

The function shifts down 4 units, so the range changes from −1 to 1 in f(x) to −5 to −3 in g(x).

The function shifts down 6 units, so the range changes from −4 to 4 in f(x) to −10 to −2 in g(x).

The function shifts down 6 units, so the range changes from −1 to 1 in f(x) to −7 to −5 in g(x).

Answers

The function shifts down 6 units so the range will change from (-4, 4) to (-10,-2)
Option # 3

Answer:

The function shifts down 6 units, so the range changes from −4 to 4 in f(x) to −10 to −2 in g(x).

Step-by-step explanation:

Given  : f(x) = −4 cos 3x  and  g(x) = −4 cos 3x − 6.

To find  :    How does changing the function affect the range of the function?

Solution : We have given that  

Function change from  f(x) = −4 cos 3x  to   g(x) = −4 cos 3x − 6.

By the transformation rule : f(x) →→→f(x) -k it mean function shifted down k unit .

Then Function would shift down 6 unit .

For  f(x) = −4 cos 3x  

Range:  [ -4,4]

For  g(x) = −4 cos 3x − 6.

Range : [-10 ,-2]

Therefore, The function shifts down 6 units, so the range changes from −4 to 4 in f(x) to −10 to −2 in g(x).

What number should the fraction 15/3 be multiplied by in order to equal one ?

Answers

Hello. 

The mixed number fraction 15/3 should be multiplied by the fraction 3/15 to equal the required number 1.

Feel free to ask me more questions on my profile. I am more than happy to help. Don't forget Brainliest! :)
It should be multiplied by its reciprocal, mathematically:

nr=1   the product of a number and its reciprocal is one.  In this case:

(15/3)r=1  multiply both sides by 3

15r=3  divide both sides by 15

r=3/15

r=1/5

5y-x=10 solve for y

Answers

[tex]5y-x=10\\\\ 5y=10+x \ |:5 \ Both \ sides \\\\ y=\frac{10}{5}+\frac{x}{5}\\\\ y=2+\frac{x}{5}[/tex]

because
[tex]5y-x=5(2+\frac{x}{5})-x=5\cdot 2 +\frac{x}{\not5}\cdot 5 - x= 10+x-x=10[/tex]



From the equation 5y - x = 10; the solution for y is; y = (10 + x)/5

According to the question;

We are required to determine the solution in terms of y for the equation.

To solve for y; we must solve as follows;

5y - x = 10

5y = 10 +x

y = (10+x)/5

y = 2 + x/5

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7y + 6 - 1 + 12y equals what

Answers

19y +5
Add like terms together, the like terms are 12y & 7y, and the other like terms are 6 and -1. You can't find the specific number because you do not know x, therefore you write it as an equation.

Find the midpoint of diagonal BD. Figure ABCD is shown. A is at negative 3, 2. B is at 0, 6. C is at 6, 6. D is at 3, 2.

Answers

We just need the points B and D to solve this. B = (0,6) and D = (3,2).
Add the components together and average them.

midpoint(B,D) = ((0 + 3) / 2) , ((6 + 2) / 2)

= (1.5, 4)

Hopefully this is the right answer.

HELP
2 (3x-7)=-4x-6+9x-8

Answers

2 (3x - 7) = -4x - 6 + 9x - 8   Simplify 2 (3x - 7)
    6x - 14 = -4x - 6 +9x - 8    Combine like terms (-4x and 9x) (-6 and -8)
    6x - 14 = 5x - 14                 Subtract 5x from both sides
      x - 14 = -14                       Add 14 to both sides
            x = 0

Check your answer.

  2 (3x - 7) = -4x - 6 + 9x - 8        Substitute x for 0
2 (3(0) - 7) = -4(0) - 6 + 9(0) - 8   Multiply 3(0)
    2 (0 - 7) = -4(0) - 6 + 9(0) - 8   Multiply -4(0)
    2 (0 - 7) = 0 - 6 + 9(0) - 8        Multiply 9(0)
    2 (0 - 7) = 0 - 6 + 0 - 8            Subtract (0 - 7)
         2(-7) = 0 - 6 + 0 - 8             Multiply 2(-7)
            -14 = 0 - 6 + 0 - 8             Get rid of the unneccesary 0s
            -14 = -6 - 8                        Subtract (-6 - 8)
            -14 = -14

So, x = 0 .

The floor of a rectangular room will be tiled with square tiles that measure 3 inches on each side. The room is 109 inches long and 103 inches wide. How many tiles, including parts of tiles, are needed to complete the job?

Answers

109 *103 = 11227 square inches

tile = 3^2 = 9 square inches

11227/9 = 1247.44 tiles are needed.

 you can't buy a partial tile so you would need 1248 tiles

Answer:

We need 1248 tiles to complete the job.

Step-by-step explanation:

First we have to get the area of the  room and the area of each tile

Area = long x wide

Room Area = 109 x 103 = 11227 square inches

Tile area = 3 x 3 = 9 square inches

To get how many tiles we need, we must divide the room area by the tile area

Q=11227/9= 1247,44 ≅1248

Which line represents the line of reflection in this diagram?


f
g
h
i

Answers

The answer would be H, Because it is in the very center of both shapes which creates a line of symmetry which is used for the line of reflection


Hope this helped...

Answer:  The correct option is (C) h.

Step-by-step explanation:  We are given to select the correct line that represents the line of reflection in the given diagram.

We know that

A line of reflection is a line such that each point of the original figure and the image are equidistant from it.

In other words, we can say that the line of reflection is equidistant from the original figure and the image.

Now, from the figure, we can see that the line g is close on the figure on the left than that in the right. So, line g cannot be the line of reflection.

Line i is close the right figure on the upper half and it is close to the left figure on the lower half. So, line i also cannot be the line of reflection.

Line f cannot be the line of reflection because the shape of the figure is not same in both the sides of f.

The only line that is equidistant from both the figures is line h.

Thus, the line of reflection is line h.

Option (C) is CORRECT.

Maric mailed 9 letters at the post office . each letter weighed 3.5 ounces. What was the total weightof the letters?

Answers

9 letters*3.5 oz each=31.5 oz total

Floyd is an aspiring music artist. He has a record contract that pays him a base rate of \$200$200dollar sign, 200 a month and an additional \$12$12dollar sign, 12 for each album that he sells. Last month he earned a total of \$644$644dollar sign, 644.
Write an equation to determine the number of albums (a)(a)left parenthesis, a, right parenthesis Floyd sold last month.

Find the number of albums Floyd sold last month.

albums

Answers

Answer:

Equation: [tex]a=\frac{644-200}{12}[/tex]

Albums: [tex]37[/tex]

Also, the verified tutor above me, is also correct, I just feel like my explanations and answers are much for informational and simplier than his

Explanation:

      First lets find out how many albums Floyd sold in a month to find out the amount of albums and how we solved it.

      Let's take the [tex]\\644\[/tex] and subtract [tex]200\[/tex] from it, because he didn't make any albums or anything to get

      Now that we have the amount of money that he gets from albums, we can divide this amount of money by [tex]12\[/tex] because that's the amount of money he gets from [tex]1[/tex] album. [tex]\frac{444}{12}=37[/tex]

      Now we know how many albums he sells for a total of [tex]444\[/tex] plus the [tex]200\[/tex] he gets on a monthly rate.

      Thank you for sticking with me on trying to learn how you got these answers instead of just staright-up cheating!

The equation that determines the number of albums sold is:

200 + 12a  =  644

The number of albums Floyd sold last month is 37

Word Problems on linear equations

Monthly base rate = $200

Pay on each album = $12

Number of albums = a

Total money earned = $644

The equation that determines the number of albums sold is:

200 + 12a  =  644

Solve the equation above to get the number of albums sold

12a  =  644 -  200

12a  =  444

a  =  444/12

a  =  37

The number of albums Floyd sold last month is 37

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A spherical fish bowl is half-filled with water. The center of the bowl is C, and the length of segment AB is 20 inches, as shown below. Use for pi. Which of the following can be used to calculate the volume of water inside the fish bowl?

Answers

I found the picture of the bowl.

AB is the diameter of the sphere.

So the radius is 20in / 2 = 10 in

And the volume of water is half the volume of the sphere.

=> V of water = (1/2)* (4/3) π (r^3)

Also, this problems asks to use 22/7 as approximation of π.

=> V of water = (1/2) (4/3) (22/7) (10in)^3 = 2,095 in^3

Answer: (1/2)(4/3)(22/7)(10in)^3 = 2,095 in^3

Which shows the expressions in the order they would appear on a number line from least to greatest?
2 to the power of 3, square root of 5, square root of 20, square root of 11 11 over 9

2 to the power of 3, square root of 11, 11 over 9, square root of 20, square root of 11

11 over 9, square root of 5, square root of 11, square root of 20, 2 to the power of 3

 11 over 9, 2 to the power of 3, square root of 5, square root of 20, square root of 11

Answers

2^3 = 8
11/9 = 1.22
sqrt 5 = 2.24
sqrt 20 = 4.47
sqrt 11 = 3.32

least to greatest : 11/9, sqrt 5 , sqrt 11 , sqrt 20, 2^3

The expressions in the order they would appear on a number line from least to greatest is 11/9, √5, √11, √20, 2³

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given are the statements expressing expressions,

2³ = 8

11/9 = 1.22

sqrt 5 = 2.24

sqrt 20 = 4.47

sqrt 11 = 3.32

Hence, the expressions in the order they would appear on a number line from least to greatest is 11/9, √5, √11, √20, 2³

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A large ice floe is floating at a speed of 3 kilometers per hour. A polar bear leaves the floe and swims in the opposite direction at 9 kilometers per hour. How long will it be before the polar bear is 4 kilometers away from the floe?

How do I do this??? My teacher never teaches me!!

Answers

Final answer:

The polar bear and the ice floe have a relative speed of 12 kilometers per hour. Given they're moving in opposite directions and the polar bear should end up 4 kilometers away, it would take approximately 0.33 hours or 20 minutes for the bear to reach this distance.

Explanation:

The subject of this problem is relative speed. When two objects are moving in the opposite direction, their relative speed is the sum of their individual speeds. In this case, the ice floe is moving at 3 kilometers per hour and the polar bear is swimming at 9 kilometers per hour. So, their relative speed is 3 + 9 = 12 kilometers per hour.

The distance between the polar bear and the floe is 4 kilometers. To find out how long it will be before the polar bear is 4 kilometers away from the floe, you would divide the total distance by the relative speed. Therefore, the time would be 4 kilometers divided by 12 kilometers per hour equals 0.33 hours, or approximately 20 minutes.

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With 128, 134, 140, 146, 152, what's the next number if the pattern continues?

Answers

we add 6 each time

so the next number is 152+6=158

Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589.

Answers

(20x+108)/273+20x+108=372/589
589(20x+108)=372(273+20x+108)
.
.
.
x=18

Replace ? with a whole number to make the statements true. a. 20 ÷ 4 ? means ? × 4 = 20 b. 2,725 ÷ 5 ? means ? × 5 = 2,725 c. ? ÷ 5 = 0 ABC Preschool spent $1,475 on diapers this year. If the diapers cost $25 per box, how many boxes did they use? Grace, a hairdresser, charges $18 for a haircut and $70 for a perm. She did 36 perms this month. The total amount of money Grace took in was $4,608. How many haircuts did Grace do this month? Mr. and Mrs. Wilson hosted their daughter’s wedding. They paid $575 to rent a banquet hall and $13 per person for a catered dinner. In all, there were 118 people at the wedding. How much did the Wilsons pay for the hall and the food? Use inverse operations to check your answer. Carmel can drive 320 miles on one tank of gas, and one tankful costs $39. How many tanks of gas will she need to drive 2,240 miles, and how much will it cost? Use inverse operations to check your answer.

Answers

20/4 means 5 * 4 = 20
2725/5 means 545*5 = 2725
0/5 = 0
==============
25x = 1475
x = 1475/25
x = 59 <== 59 boxes of diapers were bought
==============
18h + 70(36) = 4608
18h + 2520 = 4608
18h = 4608 - 2520
18h = 2088
h = 2088/18
h = 116....she did 116 haircuts
=================
575 + 13(118) = total cost         Inverse operations to check...
575 + 1534 = total cost             2109 - 1534 = 575
2109 = total cost                        575 = 575 (correct)
=================
320/39 = 2240/x....320 miles to $ 39 = 2240 miles to $ x
cross multiply
(320)(x) = (39)(2240)
320x = 87360
87360/320 = x
273 = x....it would cost $ 273

inverse operations to check....320 * 273 = 87360
                                                 87360 = 87360 (correct)

Which table shows a proportional relationship between miles traveled and gas used?

Answers

270/15 = 135/ 7.5
cross multiply to see if it is a true proportion
(15)(135) = (270)(7.5)
2025 = 2025 (correct...so this is a true proportion)

answer is : bottom right one

Answer:

last fourth table given in the figure shows the proportional relationship .

Step-by-step explanation:

Definition of proportional relationship

The relationship in which two quantities are varies proportional to each other .

[tex]a = kb[/tex]

Where k is called the proportional constant .

Let us assume that the number of miles travelled be y .

let us assume that the gas used be x .

[tex]y\propto x[/tex]

y = ca

Where c is the proportional constant .

In first table

Miles travelled = 27.3 mi

Gas used =1.5 gal

Putting in the formula

y = ca  

27.3 = 1.5c

[tex]\frac{27.3}{1.5}=c[/tex]

c = 18.2

Miles travelled = 49.16 mi

Gas used = 3.8 gal

Putting in the formula

y = ca  

49.16 = 3.8c

[tex]\frac{49.16}{3.8}=c[/tex]

c = 12.94 (Approx)

Thus the miles travelled is not vary with the gas used .

Therefore table not shows the proportional relationship .

Second Part

Miles travelled = 135 mi

Gas used = 7.4 gal

Putting in the formula

y = ca  

135 = 7.4c

[tex]\frac{135}{7.4}=c[/tex]

c = 18.2

Miles travelled = 135.5 mi

Gas used = 7.9 gal

Putting in the formula

y = ca  

135.5 = 7.9c

[tex]\frac{135.5}{7.9}=c[/tex]

c = 17.2 (Approx)

Thus the miles travelled is not vary with the gas used .

Therefore table not shows the proportional relationship .

Third table

Miles travelled = 120 mi

Gas used = 6.2 gal

Putting in the formula

y = ca  

120 = 6.2c

[tex]\frac{120}{6.2}=c[/tex]

c = 19.4 (Approx)

Miles travelled = 180 mi

Gas used = 12.2 gal

Putting in the formula

y = ca  

180 = 12.2c

[tex]\frac{180}{12.2}=c[/tex]

c = 14.8 (Approx)

Thus the miles travelled is not vary with the gas used .

Therefore table not shows the proportional relationship .

Fourth table

Miles travelled = 270 mi

Gas used = 15gal

Putting in the formula

y = ca  

270 = 15c

[tex]\frac{270}{15}=c[/tex]

c = 18

Miles travelled = 135 mi

Gas used = 7.5 gal

Putting in the formula

y = ca  

135= 7.5c

[tex]\frac{135}{7.5}=c[/tex]

c = 18

Thus the miles travelled is vary with the gas used .

Therefore table shows the proportional relationship .

The last fourth table given in the figure shows the proportional relationship .


Dan received a $45.25gift card for a photo center. He used it to buy prints that cost 25 cents each. The remaining balance, B (in dollars), on the card after buying x prints is given by the following function.

B (x) = 45.25- 0.25x

What is the remaining balance on the card if Dan bought 50 prints?

Answers

b(50)=45.25-0.25(50)
b(50)=45.25-12.5
b(50)=32.75
Final answer: $32.75
Final answer:

The remaining balance on the card after buying 50 prints is $32.75.

Explanation:

To find the remaining balance, B(x), on the gift card after buying x prints, we can substitute the value of x into the given function B(x) = 45.25 - 0.25x. In this case, x = 50.

Substituting x = 50 into the function, we have B(50) = 45.25 - 0.25(50) = 45.25 - 12.50 = 32.75.

Therefore, the remaining balance on the card after buying 50 prints is $32.75.

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Samantha and Mia each left Julia’s house at the same time. Mia walked north at 7 kilometers per hour. Samantha ran west at 11 kilometers per hour. How far apart were they after one hour? Round the answer to the nearest tenth.

Answers

Mia walked 7km/h so after 1 hour, she is 7 km north of the house of Julia

Samantha walked 11km/h so after 1 hour, she is 11 km west of the house of Julia.

The points where Mia and Samantha are after 1 hour , and the house of Julia form a right triangle with sides 7 and 11 km. The distance between the girls, is the hypotenuse of his triangle.

 by the pythagorean theorem:

[tex]MS= \sqrt{ 7^{2} + 11^{2} }= \sqrt{49+121}= \sqrt{170}= 13 (km)[/tex]


Answer: 13 km

Kenji wants to divide 48.6 by 0.15. What is the first step that Kenji must complete?

Multiply the divisor and dividend by 10.

Multiply the divisor and dividend by 100.

Divide the divisor and dividend by 100.

Divide the divisor and dividend by 10.

Answers

The first step that Kenji must complete is option (B) multiply the divisor and dividend by 100 is the correct answer.

What is a division?

A division is a process of splitting a specific amount into equal parts. The number to be divided by another number is called the dividend. The number by which we divide another number (dividend) into equal parts is called the divisor.

For the given situation,

Kenji wants to divide 48.6 by 0.15.

[tex]\frac{48.6}{0.15}[/tex]

Step 1:

To perform division, the first step is to make the divisor and dividend without decimals.

So multiply the divisor and dividend by 100.

⇒ [tex]\frac{48.6}{0.15}=\frac{48.6(100)}{0.15(100)}[/tex]

⇒ [tex]\frac{4860}{15}[/tex]

Hence we can conclude that the first step that Kenji must complete is option (B) multiply the divisor and dividend by 100 is the correct answer.

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Find the volume of the cylinder to the nearest tenth use 3.14

Answers

the answer is 3.14 r^2 h

the h is the height

if 1.4 is the radius then the answer is 36.9 if 6 is the radius then the answer is 158.3

Crystal rollerbladed 150 feet in 15 seconds, while Gavin rollerbladed 150 feet in 10 seconds. Without doing any calculations, who was faster? Why?

Answers

Gavin because he rollerbladed 150 feet 5 seconds quicker than Crystal

Ur answer is d have a nice day

Clark has 7 1/2 feet of wire. Part a: how many 3/4 foot pieces can clark cut from the 7 1/2 feet of wire? Part B: using the information in part a, interpret the meaning of the quoitient in terms of the two fractions given

Answers

(7 1/2) / (3/4) = 
(15/2) / (3/4) =
15/2 * 4/3 =
60/6 =
10....so Clark can cut 10 three-fourths pieces of wire

You decide to start saving up to buy your first home. You find an account that pays 8% interest compounded monthly. If you plan on purchasing your home in ten years, how much must you put into the account to have $50,000 for a down payment?

Answers

The formula is
A=p (1+r/k)^kt
A down payment 50000
P the amount you must put ?
R interest rate 0.08
K compounded monthly 12
T time 10 years
Solve the formula for p
P=A÷(1+r/k)^kt
P=50,000÷(1+0.08÷12)^(12×10)
p=22,526.17

Mark wants to know how many families in his neighborhood plan to attend the neighborhood party. he puts all 80 of neighborhood addresses in a hat and draws a random sample of 20 addresses. He then asked those families if they plan to attend the party he finds that 20% of the family is planning to attend the party. He claims that 20% of the neighborhood families would be expected to attend the party is this a valid inference ???????explain why.

Answers

No this is not a valid reference because those were 20 random families, if he does another test the next twenty families 50% of them could attend the party. Too much chance to be valid.

Answer:  It is c

it is not a or b or d because they don't make since

also i took the flvs test

:)

Over the course of a year, a classroom went from 15
students to 19
students.

Use the drop-down menus to build an equation that could be used to find the percent change, p
, in the number of students.

Answers

19-15 =4

4/15 = 0.266

0.266*100 = 26.6%

 so 19-15/15


Answer:

p = [tex](\frac{19-15}{15} )\times 100[/tex]

Step-by-step explanation:

Over the course of a year classroom went from 15 to 19 students.

So students added = 19 - 15 = 4

Now percentage of this addition will be p =  [tex](\frac{\text{students added}}{\text{total students before addition}})\times 100[/tex]

p = [tex](\frac{19-15}{15} )\times 100[/tex]

Other Questions
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