Question 9 of 10
Find the solutions to x2 = 18.
O A. x= +3,12
O B. x= +2,/3
X
O C. X = +36
O D. x = +63
Х

Answers

Answer 1

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

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} = 18[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{} = \sqrt{ 18}[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \sqrt{2 \times {3}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 3 \sqrt{2} [/tex]

Therefore, the correct choice will be A


Related Questions

Can someone please help me with these questions

Answers

Answer:

easy

bro

Step-by-step explanation:

so you have to calculate the equation

Ms. fudge recently gave an algebra 1 test. the scores were normally distributed with a mean of 74 and a standard deviation of 8. find each of the following. write as a percent.

Answers

Using the Empirical Rule, it is found that there is a 68% probability that a student scored between 66 and 82.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, considering the mean of 74 and the standard deviation of 8, we have that:

74 - 8 = 66

74 + 8 = 82.

Hence, there is a 68% probability that a student scored between 66 and 82.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

A sample of computer tablet batteries has a mean battery life of 28 months and standard deviation of 4 months. What is the lifespan of batteries that are within the given standard deviation of the mean?

1. 1 Standard deviation

2. 2 Standard deviation

3. 3 Standard deviation

Answers

Using the Empirical Rule, it is found that the lifespans, in months, are given by:

1. 24 and 32.

2. 20 and 36.

3. 16 and 40.

What is the Empirical Rule?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Hence, considering the mean of 28 months and the standard deviation of 4 months, the life spans are given by:

1. 24 and 32.

2. 20 and 36.

3. 16 and 40.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

if x=2 and y=-3 solve each of the question
a) 3x+y^2=
b) 3x^2+5y^2=
c)2x+y
d)5y+x^2=​

Answers

Answer:

A) 15

B) 57

C) 7

D) 19

Step-by-step explanation:

a) 3x+y^2=

  Insert the values

   3(2) + 3^2

   6+9 (3^2 = 3 x 3 = 9)

    = 15

b) 3x^2+5y^2=

   Insert the values

   3(2)^2 + 5(3)^2

   3(2^2 = 2 x 2 = 4) + 5(3^2 = 3 x 3 = 9)

    3(4) + 5(9)

     12+ 45

    = 57

c) 2x+y

   insert the values

   2(2) + 3

    4 + 3

    = 7

d) 5y+x^2=

    Insert the values

    5(3)+ 2^2

     15 + (2^2 = 2x2 = 4)

      15+4

       = 19

     

Please assist. No links or your account is getting banned

Answers

Answer:

[tex]a^-^7[/tex]

Step-by-step explanation:

[tex]\frac{a^{-13}}{a^{-6}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]

[tex]=a^{-13-\left(-6\right)}[/tex]

[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]

[tex]=a^{-13+6}[/tex]

[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-13+6=-7[/tex]

[tex]=a^{-7}[/tex]

Answer [tex]=a^{-7}[/tex]

~Learn with Lenvy~

Which expression is equivalent to –12 – 40?

Answers

the answer would be the equation: -12+ -40

Talia tossed a penny many times. She got 30 heads and 50 tails. She said the experimental probability of getting heads was
30
50
. Explain and correct her error by completing the sentence. Enter your answer as a simplified fraction.


She did not
(select)
30 and 50 to find the total number of trials. The experimental probability of landing on heads is

Answers

Answer:

The probability of landing on heads is 50 and the probability of landing on tails is 50.

Step-by-step explanation:

Her answer is wrong because -

A. It does not equal 100, all percentages must add to 100

B. There is an equal chance of getting heads and of getting tails and 30 and 50 are not equal

Solve the system using linear combination.
41
S 5x + 3y
Зх бу
9
We want to eliminate the variable y. What number should we multiply times the first
equation, so that when we add the two equations, we can eliminate the variable y?

Answers

Answer:

Delta does not have a relative extreme in the equation, so it is variable y It can not be true

Step-by-step explanation:

[tex]s = 5x + 3y[/tex]

There is an answer

The rest of the equation that has no substituted delta is not true, so the prime variables have relative extremes.

4 cases of Sprite are on sale for $12.


What is the cost per case?

At this rate, how many cases can you purchase for $48?

Answers

Answer

One case of sprite costs 3 dollars, All four cases are $12. You can buy 16 cases of sprite with 48 dollars.

Step-by-step explanation:

How to get the cost for 1 case:

You have 4 cases of sprite which all four combined costs $12. You divide 12 by 4 and get 3.

How to get the amount of cases of sprite you can buy with $48:

divide 48 by 3 and you get 16. Why 3? Because 3 is the amount per case and 16 x 3 is 48. Thank me later!

Answer:

It costs $3 per case of Sprite

With 48 dollars, you could buy 16 cases.

Step-by-step explanation:

12/4 = 3    12 dollars divided buy 4 dollars each equals 3 dollars per case

48/3 = 16  48 dollars divided by 3 dollars per case equals 16 cases of sprite

Gabe's math class starts at 12:15 P.M. and lasts for 1 hour and 30 minutes. After math class, Gabe has recess for 15 minutes. What time does Gabe's recess end?
please help n explain ily

Answers

Answer:

Ends at 2:00

Step-by-step explanation:

12:15 + 1:30 = 13:45.

13:45 + 00:15 = 14:00

14 - 12 = 2

Recess ends at 2:00

Answer:

2p

Step-by-step explanation:

ok so 12:15 + 1 hour = 1:15pm

1:15pm + 30 minutes = 1:45pm

so that's the time that class ends at.

now Gabe has recess for 15 minutes.

so 1:45pm + 15 minutes = 2pm

Gabe's recess finishes at 2pm

hope that helps : )

So if I have 6,000 dollars and I need 20,000 how much money do I need to earn to reach 20,000?​

Answers

Answer14,000

Step-by-step explanation:

20,000-6,000=14,000

Answer:14000

Step-by-step explanation:

20000 - 6000, not sure why ur doing these type of problems in highschool

Paisley is trying to find the height of a radio antenna on the roof of a local building. She stands at a horizontal distance of 22 meters from the building. The angle of elevation from her eyes to the roof (point A) is 29°, and the angle of elevation from her eyes to the top of the antenna (point B) is 42°. If her eyes are 1.74 meters from the ground, find the height of the antenna (the distance from point A to point B). Round your answer to the nearest meter if necessary.

Answers

Using the tangent ratio, the height of the antenna, to the nearest meter, is AB = 8 m.

What is the Tangent Ratio?

Tangent ratio is expressed as: tan ∅ = opposite/adjacent (TOA).

The information given has been sketched in the diagram attached below.

Find AC using the tangent ratio. Thus, we would have:

tan 29 = AC/CD

Substitute

tan 29 = AC/22

AC = tan 29 × 22 = 12.2 m.

Find BC using the tangent ratio:

tan 42 = BC/DC

Substitute

tan 42 = BC/22

BC = tan 42 × 22 = 19.8 m.

The height of the antenna, AB = BC - AC = 19.8 - 12.2 ≈ 8 m.

Learn more about tangent ratio on:

https://brainly.com/question/1592477

You worked
44 hours. 40
regular hours a
$8.50 and 4
overtime hours. What would be your gross pay?

Answers

Answer:

$391.00

Step-by-step explanation:

Typically, regular work hours are paid at the rate given ($8.50), and overtime is "time and a half", or 1.5 times the regular pay.

We will get paid 40 hours at $8.50, and 4 four hours at 1.5x$8.50:

[tex]40(8.5)+4(1.5)(8.5)\\340+51\\391[/tex]

You will get paid $391.00 in gross pay, before taxes :)

Jade wants to buy a $200,000 term life insurance policy. she is 34 years old. using the premium table, what is her annual premium for a 10 year policy? a 5-column table with 6 rows titled annual life insurance premium (per 1,000 dollars of face value). column 1 is labeled age with entries 30, 31, 32, 33, 34, 35. column 2 is labeled 5-year term male with entries 3.98, 4.08, 4.19, 4.30, 4.42, 4.54. column 3 is labeled 5 year term female with entries 3.66, 3.76, 3.87, 3.98, 4.10, 4.22. column 4 is labeled 10-year term male with entries 6.06, 6.13, 6.30, 6.38, 6.45, 6.53. column 5 is labeled female with entries 5.72, 5.79, 5.85, 5.93, 6.01, 6.09. a. $1,290 b. $1,202 c. $6,010 d. $820

Answers

Premium rates are often referred to as premium per fixed face value. Jade's annual premium for a 10-year policy of $200,000 is $1,202.

How to calculate the total annual premium for $x?

When it's given that the annual premium is $p per $y face value, then we can calculate the annual premium for $1 face value and then use it to calculate the annual premium for $x. Therefore using proportions, we can write,

$y face value : $p annual premium

[tex]\text{\$1 face value} : \$\dfrac{P}{y}\ \rm annual\ premium[/tex]

[tex]\text{\$x face value} : \$\dfrac{P\times x}{y}\ \rm annual\ premium[/tex]

In the given case, from the tables, we see that for age 34, and 10-year life insurance for the female gender, there is an annual premium of 6.01 per $1000 face value.

Therefore, we will get the value of p = 6.01, and y = 1000.

As mentioned that Jade wants to buy Life insurance for $200,000, therefore, x = $200,000

Putting it in the above-derived formula, we get:

[tex]\text{\$x face value} : \$\dfrac{P\times x}{y}\ \rm annual\ premium[/tex]

[tex]\text{\$200,000 face value} : \$\dfrac{6.01\times 200,000}{1,000}\ \rm annual\ premium = \$1,202\ \rm annual\ premium[/tex]

Hence, Jade's annual premium for a 10-year policy of $200,000 is $1,202.

Learn more about Annual Premium Cost:

https://brainly.com/question/13168988

Answer:

b 1,202 on edge 2022

Step-by-step explanation:

A company makes wax candles in the shape of a cylinder. Each candle has a diameter of 8 inches and a height of 2 inches. How much wax will the company need to make 160 candles? Use 3.14 for[tex]\pi[/tex] , and do not round your answer.

Answers

Answer: 18,086.4 cubic units

Step-by-step explanation:

the radius squared: 3×3.14×4²=150.72.

If you want to make 120 candles, multiply that number by 120: 150.72×120=18086.4.

Phoebe spent $12.87 at the bookstore. She paid with a $20 bill. How much is her change?

Answers

Answer:

7.28 in change

Step-by-step explanation:

When she used 20 bucks it gave her 7.28 cents.

find the volume of a cylinder with base diameter 140cm and height 10cm. (22/7)

Answers

Step-by-step explanation:

could not find the formula ?

the volume of a cylinder is ground area × height.

and the ground area is a circle.

so, all in all we get

pi×r²×h

with r being the radius (half of the diameter), and h being the height.

in our case we get

pi×(140/2)²×10 = pi×70²×10 = 49000×pi =

= 153,938.04... cm³

From the tip of a 9 foot tree, to the end of it's
shadow is 15 feet. Which is longer, the tree
or the shadow? By how much?

Answers

Answer:

The shadow is longer by 3ft

Step-by-step explanation:

A simple a^2 + b^2 = c^2 problem

81 + b^2 = 225

b = 12ft

Write a function rule for the relationship between the amount of plant food remaining, f), and the number of days that have passed, Type the correct answer in the box 0 B 2 ve CSC Eco 109 f(x) =​

Answers

Answer: f(x) = 72-12x

Step-by-step explanation: Hope it helps

Luca sells muffins and juice boxes at the
school snack bar. muffins are $1.50 each
and juice boxes are $1.25 each.

Answers

Answer:

1.5m+1.25j

Step-by-step explanation:

m equals the number of muffins sold, and because each muffin sells for $1.50, 1.5m represents the income made from the muffins.

Same thing with the juice boxes, j equals the number of juice boxes sold, and because each juice box sells for $1.25, 1.25j represents the income made from the juice boxes.

Add the income from both of them to get the total income, and you get 1.5m+1.25j.


A car is purchased for $23,000. Each year it loses 30% of its value. After how many years will the car be worth $6800 or
less?

Answers

Hey there!

A car is purchased for $23,000 . Each year it loses 30% of its value. After how many years will the car be worth $6700 or less? (Use the calculator provided if necessary.) Write the smallest possible whole number answer.

Set up the depreciation equation D(t) where t is the number of years in the life of the car:

D(t) = 23,000/(1.3)^t

The problem asks for D(t)<=6800

23,000/(1.3)^t = 6800

Cross multiply:

7300(1.3)^t = 24,000

Divide each side by 6800

1.3^t = 23000/6800

1.3^t = 3.38

Take the natural log of both sides:

LN(1.3^t) = LN(3.38)

Using the natural log identities, we have:

t * LN(1.3) = 1.22

t * 0.2624 = 1.22

Divide each side by 0.2624

t = 4.6494

Rounding this up, we have t = 5

Answer:

it would be 7647

close enough though

Step-by-step explanation:

poiuytredfghjkl........

Answers

Answer:

yes you are correct

Step-by-step explanation:

not sure what you mean but yea


Jory's motorcycle travels at a constant rate of 18 miles in 45 minutes. What is the rate, in miles per hour,
that Jory is traveling?
A. 13
B. 18
C. 24
D. 26
please give explanation

Answers

Answer:

C. 24

Step-by-step explanation:

We should find how many miles Jory travels in 15 minutes first.

45 ÷ 15 = 3

18÷3=6

6 miles in 15 minutes

every hour has 60 minutes

60 ÷ 15 = 4

multiply 6 by 4 to find miles per hour

6×4=24

please help me ( if you get it right i will rate you 5/5)

Answers

Answer:

D.

Step-by-step explanation:

Okay, so 8:15 to 12:00 is 225 minutes, or 3.75 hours

12:45 to 17:30 is 285 minutes, or 4.75 hours

3.75 + 4.75 = 8.5 hours (total)

She earns 14.50 dollars per hour

8.5 * 14.5 = 123.25 dollars

D.

Answer:

The answers is D: 8.5 hours x $14.50 = $123.25

Step-by-step explanation:

This employee worked a total of 8.5 hours on Monday (3.75 hours in the morning and 4.75 hours in the afternoon).

Then, you have to multiply the total amount of hours worked by the number of dollars paid per hour.

8.5 hours x $14.50 = $123.25

Elizabeths school is selling 100 raffle tickets to raise money for a new gymnasium. The grand prize is a ten speed mountain bike. Which word or phrase describes the probability that she will win the raffle if she buys all the tickets

Answers

The word or phrase that describes the chances of Elizabeth winning the mountain bike if she buys all the tickets is likely.

What are the chances that Elizabeth will win the raffle?

If Elizabeth buys all the tickets, then she will most definitely win the raffle because she will have the winning ticket.

In probability, when an event is certain to happen, it is said that the event is "likely." It is therefore likely that Elizabeth will win the raffle.

Find out more on likely events at https://brainly.com/question/7130419.

Help as soon as possible thank you

Answers

Answer:    14.28

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

Explanation:

The full circle has a circumference of

C = 2*pi*r

C = 2*3.14*4

C = 25.12

Divide this by four because we only want a quarter circle (and not the whole thing). Imagine cutting a pizza into four equal slices, and we only focus on one slice.

The curved portion of the slice is roughly 25.12/4 = 6.28 units long.

Add on the two straight line portions of the quarter circle to get 6.28+4+4 = 14.28

The straight line portions are the radius.

The answer of 14.28 is approximate because pi = 3.14 is approximate.

What type of number is -91i?
Choose all answers that apply:
real
imaginary
complex

Answers

Answer:

complex

Step-by-step explanation:

true or false are these lines are intersecting

Answers

Answer: True.

Step-by-step explanation: Lines that don't intersect are parallel lines, and those are not parallel.  Parallel lines look like the image below.  The point of intersection in your image is where K is.  

Hope this helps! :)

Kelly has some money. She spends $17.50 on clothes,
She has $6.21 left. Which model represents this?
a $17.50 -6.21 =n
b. n - 17.50 = 6.21
c. n + 17.50 = 6.21
d. n + 6.21 = 17.50
Explain.

Answers

Answer:

b

Step-by-step explanation:

because we dont know what she started with.

Answer:

b) I guess

Step-by-step explanation:

she has n. she spends $17.50 (-). she has $6.21 left

n                -                      17.50               =$6.21

n-17.50=$6.21

A scale diagram of a statue is drawn using a scale of 1 cm to 6 m.
The statue is 30 m tall in real life.
How tall is the diagram of the statue?

Answers

Answer:

5cm in the diagram

Step-by-step explanation:

30/6=5

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