Find the missing value.
(√24-√k)(√24+√k)=5

Answers

Answer 1

Answer:

k = 19

Step-by-step explanation:

Identity

(a + b)(a - b) = a² - b²

Simplifying the LHS (Left Hand Side)

(√24-√k)(√24+√k)(√24)² - (√k)²24 - k

Equating to the RHS

24 - k = 5k = 24 - 5k = 19
Answer 2

Answer:

19

Step-by-step explanation:

[tex](\sqrt{24} -\sqrt{k} )(\sqrt{24} +\sqrt{k} )\\\\As,\\\\\hookrightarrow a^{2} -b^{2} =(a+b)(a-b)\\\\Subtitute:\\\\a=\sqrt{24} \\\\b=\sqrt{k} \\\\Now,\\\\\hookrightarrow (\sqrt{24} -\sqrt{k} )(\sqrt{24} +\sqrt{k} )=5\\\\\hookrightarrow (\sqrt{24} )^{2} -(\sqrt{k} )^{2} =5\\\\\hookrightarrow 24-k=5\\\\\hookrightarrow 24-5=k\\\\\hookrightarrow 19[/tex]


Related Questions

Solve the equation. Simplify all irrational solutions. x^2-9x

Answers

Answer:

x(x−9)

Step-by-step explanation:

x2−9x

=x(x−9)

An apartment building contains 100 units. The one-bedroom units rent for $600 per month. When all the units are rented out, the total monthy rent paid by the tenants is $55,275. How many two-bedroom apartments are there?
O 45
O 66
O 55
O 50

Answers

Answer:

55

Step-by-step explanation:

Let x represent the number of one bedroom units and y represent the number of two bedroom units.

Since the apartment building contains 100 units:

1) x + y = 100

The total monthly rent paid by the tenants is $55,275, so:

2) 495x + 600y = 55275

Solving equation 1 and 2 gives:

x = 45, y = 55

So, there are 55 two-bedroom units in the apartment.

PLEASE HELP ME!!!!! GIVING (17 POINTS)

Answers

Answer:

61.)   A, B, A

62.) 120 minutes

Step-by-step explanation:

61.) 48 is a multiple of 6. A multiple is a number which can be fully divided into another number (divded without remainder). Therefore, 48 is a multiple of 6 because 6 * 8 = 48 meaning that 48/6 would equal 8. Because there is no remainder, Carly can put the beads into 6 equal groups.

62.) This is a simple conversion problem. Since they are asking the amount of minutes, you need to convert 2 hours to minutes. You do not need to calculate it or set up a formula because there are 60 minutes in one hour, therore, in 2 hours there are 120 minutes (60 minutes + 60 minutes).

A movie distributor found that the relationship between the amount it spends on advertisements for a particular movie and the amount of money the movie takes in can be modeled by the equation y = 1.2x + 24, where x is the amount spent on advertisements in millions of dollars and y is the amount taken in by the movie in millions of dollars. According to the model, how much should the movie distributor spend on advertisements if it wants the movie to take in $36,000,000?

A $10,000,000

B $20,000,000

C $30,000,000

D $50,000,000

Answers

Answer:

i believe the answer is B, im not 100% though

Step-by-step explanation:

In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 1400 grams and mass was decreasing by 12% per day. Determine the mass of the radioactive sample at the beginning of the 8th day of the experiment. Round to the nearest tenth (if necessary).

Answers

Answer:

572.1 gm   will be left

Step-by-step explanation:

seven  days of decay to find how much is still there on the 8th day

1400 ( 1 - .12)^7 =

Solve for x. -3+8x-5=-8 A. -2 B. -1 C. -3/4 D. 0

Answers

Answer:

0

Step-by-step explanation:

-3+8x-5=-8

8x-8=-8

8x=-8+8

x=0/8

x=0

Answer:

D. 0

Step-by-step explanation:

-3+8(0)-5 = -8

Consider the following incomplete deposit ticket where "x" represents an unknown number: a deposit ticket. the amounts deposited were 520 dollars and 15 cents, 57 dollars and 68 cents, 40 dollars and 25 cents. the cash received was 213 dollars and 51 cents. the total deposited is 498 dollars and 1 cent. how much did kay deposit in cash and coins? a. $404.57 b. $213.51 c. $93.44 d. $284.50

Answers

The net amount that was deposited  by Kay both  cash and coins is $284. 50.

What is the net amount ?

The can be explained as difference between total deposited and the cash received.

This can be expressed as[ total deposit- total cash received]

Since the  total deposited = 498 dollars and 1 cent.

This can be converted to dollar as[tex]( $498.01)[/tex]

The amount received is 213 dollars and 51 cents.

This can be converted to dollar as  ($213.51)

Therefore, Net amount [tex]= [498.01 - 213.51]=$284.5[/tex]

Learn more about  Net amounts at; brainly.com/question/13449567

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Answer: C. 93.44

Explanation:

I just got a 100 on edge

find the rule
5. 11
6. 13
8. n
10. 21​

Answers

Answer:

n = 17

Step-by-step explanation:

Method 1

The difference between the 5th and 6th terms is 13 - 11 = 2

Therefore, the next term can be found by adding 2 each time.

If we continue with this sequence, we get:

5 = 11

6 = 13

7 = 13 + 2 = 15

8 = 15 + 2 = 17

9 = 17 + 2 = 19

10 = 19 + 2 = 21

So n = 17

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

Method 2

Arithmetic sequence

General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]

where:

[tex]a_n[/tex] is the nth terma is the first termd is the common difference between terms

Given terms of the sequence:

[tex]a_5=11\\a_6=13\\a_8=n\\a_{10}=21[/tex]

The common difference can be found by subtracting one term from the next term:

[tex]d=13-11=2[/tex]

To find a, substitute the found value of d into the equation for one of the given terms:

[tex]\begin{aligned}a_5 =a+(5-1)2 & =11\\ a+8 & =11\\ a & = 3\end{aligned}[/tex]

Therefore, the formula to find the nth term is:

[tex]\implies a_n=3+(n-1)2[/tex]

[tex]\implies a_n=2n+1[/tex]

So, the 8th term is:

[tex]\implies a_8=2(8)+1=17[/tex]

Lets form a equation

(5,11)(6,13)

Slope:-

m=13-11/6-5=2

Equation:-

y-11=2(x-5)

So

Put x=8

n-11=2(8-5)n-11=2(3)n-11=6n=17

Which of the following would best be solved using completing the square?

A) 2x^3 - 12x^2 + 5x - 30 = 0

B)5x^2 + 7x = 12

C) x^2 = 81

D) x^2 + 4x - 21 = 0

Answers

I don’t see the it the picture

please help im so confused

Answers

Answer:

X=35

Step-by-step explanation:

all angles on a straight line equal 180 degrees

there fore the equation for x will be,

180= 40+(2X+30)+40

180=40+ 2X +30+40

180 =2X+110

180-110=2X

70=2X

70/2=X

35=X

The correct answer would be X=35 hope this helps!

What is the answer
1^32

Answers

Answer:

1^32=1

Step-by-step explanation:

The answer to the question is 1

The area of the figure is
square units.? (HELP NOWWW) (PLS AND TY!!)

Answers

Answer:

I think it's 50....

Step-by-step explanation:

I added 21 for the base plus 9 for one side, 8 for the other side plus another 9 for the top and added 3

So 21 + 9 + 8 + 9 + 3 = 50

I hope it's right

Natalie just rented an apartment for $900 a month for the first year. She was told that the rent will increase by $50 each year. About how much will her rent be in the 7th year

Answers

Answer:

The correct answer is $75,900.

Step-by-step explanation:

The average daily inchworm moves foot in 10 seconds. At this current rate, how long
will it take an earthworm to move 24 inches? Show your calculations. (Give your answer
in seconds)
ve won to anolleo I no slim as
os asb 'TOL
anonicolso to wore on Del 6

Answers

Answer:

20 seconds

Step-by-step explanation:

1ft in 10 seconds = 12 in / 10 sec

to get 24 inches, or 2 feet, we simply multiply that by 2:

(12 in /10 sec) * 2

24 in /20 sec

Answer:

20 seconds!

Step-by-step explanation:

A foot is equal to 12 inches meaning you take 12 and divide it by 24 to get 2 meaning its 2 feet. and if it took 10 seconds for one foot, then it will take 20 seconds for 2 feet

What is the slope of the line below

Answers

Answer:

y=.5x+1.5

Step-by-step explanation:

The slope is .5

An object was launched from the ground. The graph below shows the path that the object took. Use the graph to answer questions 9-10.

What is the domain?

What is the range?

Answers

Answer:

See below ~

Step-by-step explanation:

Domain

Range of x values in the graphIt is from 0 to 4⇒ 0 ≤ x ≤ 4

Range

Range of y values in the graphIt is from 0 to 64⇒ 0 ≤ y ≤ 64

Answer:

range is 4 domain is 64 i think

Step-by-step explanation:

A researcher estimates that a fossil is 3200 years old. Using carbon-14 dating, a procedure used to determine the age of an object, the researcher discovers that the fossil is 3600 years old.
Find the percent error

What other estimate gives the same percent error

Answers

Answer:

11.1%

Step-by-step explanation:

% error = [(3600-3200)/3600] * 100

= 11.1%

You are analyzing the survey results tabulated below. The first survey question (yes/no) is whether the respondent is over 40, and the second survey question (low-cal, regular) is whether the respondent prefers your low-cal butter or the regular.

Answers

2 because the 2 is the number on the left and can be bad and good and uhh yea

Answer:

Step-by-step explanation:

Lisa makes $5 per hour babysitting and $12 per hour giving music lessons. One weekend, she worked a total of 18 hours and made $139. How many hours did she spend babysitting that weekend?

Answers

Answer:

11 Hours

Step-by-step explanation:

Let's say Lisa makes x hours babysitting and y hours giving music lessons.

Because she worked a total of 18 hours, we know that x + y = 18.

5 * x is how much money she earns babysitting for x hours, while 12 * y is how much money she earns giving music lessons for y hours. Adding them up gives her total revenue:

5x + 12y = 139

We now have a system of equations. Let's multiply both sides of x + y = 18 by 12:

12 * (x + y) = 18 * 12

12x + 12y = 216

Now, subtract 5x + 12y = 139 from 12x + 12y = 216:

    12x + 12y = 216

-     5x + 12y = 139

_________________

      7x + 0y = 77

Divide both sides by 7:

x = 11

Thus, Lisa spent 11 hours babysitting.

Answer:

11 hours baby sitting and 7 hours music lessons

Step-by-step explanation:

you have to solve:

x + y = 18

and

5x + 12y= 139

assuming that x is the total hours of baby sitting and y is the total hours of music lessons

Jack bought 5 pounds of halloween candy. he gave out 3 pounds of the candy to trick or treaters and ate 10 ounces of the candy . how many ounces of halloween candy does jack have left

Answers

Answer:

1 pound 6 ounces

Step-by-step explanation:

The equation of line p is y+7= – 1/2 (x–5). Line q is parallel to line p and passes through (4,8). What is the equation of line q? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

Answers

Answer:

y = -1/2 x + 10.

Step-by-step explanation:

The line q has the same slope (-1/2) as line p as the 2 lines are parallel.

Equation of the line q:

y - 8 = -1/2(x - 4)

y - 8  = -1/2x + 2

y = -1/2 x + 2 + 8

y = -1/2 x + 10.

Ed buys a box of eggs costing £1.90, two packs of bacon for £3.10 each and two tins of baked
beans.
He pays with a £10 note and gets 50p change.
How much does a tin of beans cost in pounds

Answers

Answer:

tin of beans = .70 pound

Step-by-step explanation:

 10 =  1.90  + 2 * 3.10  +  .50   + 2b

b = .70

Select the place where the digit 6 sits in this number. 607,182

Answers

Answer:

Hundred Thousand

Step-by-step explanation:

Hundred Thousand

I hope it helped you

Answer:

Hundred thousand

Step-by-step explanation:

The digit 6 is in the hundred thousand place.

To understand place values, see the attached file.

[tex]\rule[225]{225}{2}[/tex]

17 The price of a game console that regularly
sells for $800 is
reduced to $616. By what
percentage is the price reduced?
A
23%
C
77%
B
30%
D
25%

Answers

Answer:

A

Step-by-step explanation:You can use a calculator also 1% of 800 is 8 .So  multiply 20 by 8 which is 160 and 8 times 3 is 24 and 160 plus 24 is 184.

Answer: 223%

Step-by-step explanation:

Deduct 616 from 800 to get the amount reduced. 800-616=184

184/800=0.23

convert to a percentage by multiplying by 100

PLEASE CHOOSE CORRECT OPTION AND WITH EXPLANATION 25 POINTS

Answers

Answer:

  B.  (x, y) ⇒ (x, -y)

Step-by-step explanation:

When a point is reflected over the x-axis, it is moved along a vertical line to the same distance on the other side of the x-axis.

The x-coordinate of a point identifies its distance from the y-axis--the vertical line it is on. The y-coordinate identifies its distance from the x-axis. Changing the sign of the y-coordinate moves the point to the same distance on the other side of the x-axis--reflecting it over the x-axis.

__

The given points ABC and A'B'C' all match the pattern ...

  (x, y) ⇒ (x, -y)

  A(-1, 7) ⇒ A'(-1, -7)

  B(6, 5) ⇒ B'(6, -5)

  C(-2, 2) ⇒ C'(-2, -2)

so the image points represent a reflection over the x-axis of the original points.

Solve the following....
[tex]5x+3y=7\\3x-5y=-23[/tex]

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

let's solve ~

The given equations are :

[tex]\qquad \tt \dashrightarrow \:5x + 3y = 7 \: \: \: \: \: \: \: \: \: \: \: \: - (1)[/tex]

and

[tex]\qquad \tt \dashrightarrow \:3x - 5y = - 23 \: \: \: \: \: \: - (2)[/tex]

Now, let's multiply equation (1) by 5 and equation (2) by 3 ~

we will get the results as :

[tex]\qquad \tt \dashrightarrow \:25x + 15y = 35 \: \: \: \: - (3)[/tex]

[tex]\qquad \tt \dashrightarrow \:9x - 15y = - 69 \: \: \: - (4)[/tex]

Now, add equation (3) and (4) :

[tex]\qquad \tt \dashrightarrow \:25x + \cancel{ 15y} + 9x - \cancel{15y }= 35 + ( - 69)[/tex]

[tex]\qquad \tt \dashrightarrow \:34x = - 34[/tex]

[tex]\qquad \tt \dashrightarrow \:x = - 1[/tex]

Now, since we got the value of x, let's evaluate y~ by using equation (1) :

[tex]\qquad \tt \dashrightarrow \:5x + 3y = 7[/tex]

[tex]\qquad \tt \dashrightarrow \:5( - 1)+ 3y = 7[/tex]

[tex]\qquad \tt \dashrightarrow \:3y - 5 = 7[/tex]

[tex]\qquad \tt \dashrightarrow \:3y = 12[/tex]

[tex]\qquad \tt \dashrightarrow \:y = 4[/tex]

Hence, value of y is 4

I hope you understood the whole procedure ~

Hello ~

My name is Irxdscent, and I will be answering your question today! :D

[tex]\sf{5x \: + \: 3y = 7}[/tex]

⇢ Explanation :-

Subtract [tex]\bold{\underline{3y}}[/tex] from both sides.

        [tex]\bold{5x \: + \: 3y \: - \: 3y = 7 \: - \: 3y}[/tex]

Simplify

        [tex]\bold{5x = 7 \: - \: 3y}[/tex]

Divide both sides [tex]\bold{\underline{5}}[/tex]

        [tex]\bold{\frac{5x}{5} = \frac{7}{5} \: - \:\frac{3y}{5}}[/tex]

Simplify

        [tex]\bold{x =\frac{7 \: - \: 3y}{5}}[/tex]

[tex]\sf{3x \: - \: 5y = -23}[/tex]

⇢  Explanation :-

Add [tex]\bold{\underline{5y}}[/tex] to both sides.

        [tex]\bold{3x \: - \: 5y \: + \: 5y = -23 \: + \: 5y}[/tex]

Simplify

        [tex]\sf{3x = -23 \: + \: 5y}[/tex]

Divide both sides by [tex]\bold{\underline{3}}[/tex]

        [tex]\bold{\frac{3x}{3} = -\frac{23}{3} \: + \: \frac{5y}{3}}[/tex]

Simplify:

        [tex]\bold{x = \frac{-23 \: + \: 5y}{3}}[/tex]

Hope It Helps! ~

~ Learn With Lrxdscent ~

[tex]\underline{Answer :}[/tex]

ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ

Choose the factor pairs of 25.
1 and 25, 3 and 10, 5 and 6
1 and 25, 3 and 9
1 and 25, 2 and 11
1 and 25, 5 and 5
anyone also want to be friends?

Answers

Answer:

1 and 25, 5 and 5, and i'll be ur friend ^w^

Step-by-step explanation:

5 and 5 is the only mutiplication beside one to get to 25, and i can be ur friend ^w^

Mila invested $82,000 in an account paying an interest rate of 4 % compounded
annually. Chase invested $82,000 in an account paying an interest rate of 5%
Compounded quarterly. To the nearest dollar, how much money would Mila have in
her account when Chase's money has tripled in value?

Answers

Answer:

Step-by-step explanation:

which expression is equivalent to 35m2-63

Answers

An expression is formed of numbers, variables, and mathematical operations. The expression that is equivalent to 35m²-63 is 7(5m²-9).

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given the expression 35m²-63, which can be written as,

[tex]35m^2-63\\[/tex]

Taking 7 as common from both the terms,

[tex]= 7(5m^2-9)\\[/tex]

Hence, the expression that is equivalent to 35m²-63 is 7(5m²-9).

Learn more about Expression:

https://brainly.com/question/13947055

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From an electronic shop, 34 washing machines were sold on a particular day. The price of one washing machine was 8,400. Find the total amount collected by selling the washing machines on that day

Answers

Answer:

$201,600

Step-by-step explanation:

Multiply 34 and 84, which is 2016. Then add 2 zeros at the end because there are 2 zeros in 8400. So, the answer is 201,600 dollars.

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