1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marshall27 [118]
3 years ago
9

Apply your knowledge of square roots to solve equations involving them. Show your step-by-step solution. Remember, each problem

should have two solutions.
(7x-2)^2 = 256
Mathematics
1 answer:
Elena L [17]3 years ago
3 0
Remember to include the positive and negative roots


(7x-2)^2=256
sqrt both sides
7x-2=+/-16
add 2 to both sides
7x=2+/-16
divdide both sides by 7
x=(2+/-16)/7)

x=(2+16)/7=18/7=2 and 4/7
x=(2-16)/7=-14/7=-2

x=2 and 4/7 or -2

You might be interested in
Help? Me? Please?? I’m really lost and I’d really appreciate the help! 15 points!
elixir [45]

F = 1/7 πp^2 r

7F = πp^2r

r = 7F / πp^2

8 0
3 years ago
Complete the solution of the equation. Find the value of y when x equals -8. -5x - 5y =50
inn [45]

Answer:

Using the the slope and y-intercept The Answers are

Slope: - 1

Y- intercept: - 58/5 Hope this helps :)

Step-by-step explanation:


7 0
3 years ago
The shear strength of each of ten test spot welds is determined, yielding the following data (psi).
Mumz [18]

Answer:

a) Mean = 382.3 psi

Standard deviation = 20.8 psi

b) 392.7 psi

c) P(X<400)=0.8026

Step-by-step explanation:

a) The population mean can be estimated as equal to the mean of the sample, and the population standard deviation can be estimated from the sample standard deviation:

M=\frac{1}{n}\sum x_i=\frac{1}{10}(389+405+409+367+358+415+376+375+367+362)\\\\M=\frac{1}{10}(3823)=382.3\\\\\mu\approx M=382.3

s=\sqrt{\frac{1}{n-1}\sum (x_i-M)^2}=\sqrt{\frac{1}{10-1}(389-382.3)^2+...+(362-383.2)^2}\\\\\\s=\sqrt{\frac{1}{9}(3906.1)}=\sqrt{434}=20.8\\\\\\\sigma\approx s=20.8

b) We start by searching for the z-value for the 95th percentile. This value is

z=1.645:

P(z

Then, the strength value below which 95% of all welds will have their strengths is:

X=\mu+z\cdot \sigma/\sqrt{n}=382.3+1.645*20.8/\sqrt{10}\\\\X=382.3+32.9/3.2=382.3+10.4\\\\X=392.7

c) We calculate the probability of X being equal or less than 400 as:

z=(X-\mu)/\sigma=(400-382.3)/20.8=17.7/20.8=0.851\\\\\\P(X\leq400)=P(z

6 0
3 years ago
How long would it take the car to travel a distance of 2 meters at this average speed?
lorasvet [3.4K]

Answer:

1 hour

Step-by-step explanation:

2 ÷2=1 speed divide by distance

7 0
3 years ago
Is it true that 90% of people will marry their 7th grade love?
Aloiza [94]

Answer:

No

Step-by-step explanation:

No because in forgein countries there is arranged marriages and there are more countries that do that more than the countries that have freedom to marry whoever they want.

3 0
3 years ago
Other questions:
  • An athlete rides his bike 8 miles for every 3 miles that he runs. if the athlete runs 4.5 miles, how far does he ride his bike?
    13·1 answer
  • Which calculation should be completed first to solve this story problem? Allister bought some sheet music. He bought 6 songs for
    9·2 answers
  • What power of 100 is divisible by 11?
    11·1 answer
  • What is 18 percent of 4,500.00 dollars
    8·2 answers
  • Frank buys last year's best-selling novel, in hardcover, for $20.80. This is with a 20% discount from the original price. What w
    13·1 answer
  • Based upon a long period of record keeping the following represents the probability distribution of the number of times the John
    10·1 answer
  • Simplify. Leave answer in scientific notation.<br> (16 x 10⁸) (8 x 10³)​
    12·1 answer
  • There are 1200 students in a school. 51.5% of them are male. How many are female
    15·1 answer
  • Solve for each variable
    14·1 answer
  • PLEASE HELP ASAP ITS FOR A FINAL
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!