What is the product of (3+square root of 7)(3-square root of 7)

Answers

Answer 1

( 3 + √ 7 ) ( 3 − √ 7 ) = 2 Explanation: You can simplify this expression by using the formula for the difference of squares a 2 − b 2 = ( a − b ) ( a + b ) In your case, you ca say that a = 3 and b = √ 7 . This means that you have ( 3 + √ 7 ) ( 3 − √ 7 ) = 3 2 − ( √ 7 ) 2 = 9 − 7 = 2 Alternatively, if you don't know the formula for the difference of squares, you can rewrite this expression by expanding the parantheses ( 3 + √ 7 ) ( 3 − √ 7 ) = 3 ⋅ 3 − 3 ⋅ √ 7 + 3 ⋅ √ 7 − √ 7 ⋅ √ 7 Once again, the result will be 3 ⋅ 3 − √ 7 ⋅ √ 7 = 3 2 − 7 = 2


Related Questions

Which is the smallest tow rope needed to pull an 8000 N pallet across a warehouse floor? Click the image to find the answer
10000 n
4000 n
24000 n
2700 n

Answers

Answer: force F = uN, u 0.34 and N = 8000 N also F = 2720 N, thus 4000 N is enough

It

Step-by-step explanation:

Answer:

10,000 i think....i hope this helps

Step-by-step explanation:

wuestions
(a) An angle measures 51°. What is the measure of its supplement?
(b) An angle measures 27°. What is the measure of its complement?

Answers

Answer:

a - 129

b - 63

Step-by-step explanation:

for a - supplementary angles add up to equal 180

so to find the measure of its supplement we subtract the given angle from 180 180-51=129

so the measure of a supplement angle is 129

for b - complementary angle add up to equal 90

so to finds the measure of its complement we subtract the given angle from 90

90-27=63

so the measure of its complement is 63

Answer:

(a) An angle measures 51°. the measure of its supplement=180-51=129°

b) An angle measures 27°. the measure of its complement=90-27=63°

Write an equation of the parabola shown.

Answers

Answer:

y = 0.1(x + 5)² + 1.5

Step-by-step explanation:

Equation of a parabola having vertex at (h, k) is given by,

y = a(x - h)² + k

From the given graph, vertex of the parabola is (-5, 1.5)

Therefore, equation of the parabola will be,

y = a(x + 5)² + 1.5

Since, this parabola passes through a point (0, 4)

4 = a(0 + 5)² + 1.5

4 = 25a + 1.5

25a = 2.5

a = 0.1

By substituting the value of 'a' in the equation of the parabola,

y = 0.1(x + 5)² + 1.5

Liam is setting up folding chairs for a meeting. If he arranges the ch
same length, he has 9 chairs left over. If he arranges the chairs in 2 rows of that same
length, he has 21 left over. How many chairs does Liam have?
Liam has
chairs.

Answers

Answer:

Step-by-step explanation:

This is the answer

the actual weights of bags of pet food are normally distributed about the mean of 50.0 lb with a standard deviation of 0.2 lb.


1. About what percentage of bags of pet food weigh between 49.8 lb and 50.2 lb?

2. About what percentage of bags weigh less than 49.8 lb?

3. In a group of 250 bags, what percentage of bags would you expect to weigh more than 50.4? ​

Answers

9514 1404 393

Answer:

68%16%2.5%

Step-by-step explanation:

1. The empirical rule tells you 68% of the distribution is within 1 standard deviation of the mean. The mean is 50 and the standard deviation is 0.2, so this means 68% of the bags weigh between 49.8 and 50.2 lb.

__

2. The other 32% is evenly split above and below the central part of the distribution. That is, about 16% of the bags will weigh less than 49.8 lb.

__

3. The percentage is independent of the size of the group. The empirical rule tells you 95% lie within 2 standard deviations of the mean. The other 5% will be evenly split between those weighing more than 50.4 and those weighing less than 49.6 lb. About 2.5% of the bags will weigh more than 50.4 lb.

_____

Additional comment

It is useful to remember the empirical rule numbers, 68%, 95%, 99.7% for the portion of the distribution between ±1, 2, 3 standard deviations of the mean. They are useful for answering questions like this one. (They are only approximations, so if more accuracy is needed, a table or app should be used to find the accurate value.)

40 QUESTIONS FOR JUST ONE QUESTION :) QUESTION 6

Answers

Answer: Credit to work in process invetory-assembly

Answer:

its C because it makes the most sense "Credit to work in process invetory-assembly."

Step-by-step explanation:

What are the steps I need to solve this problem? 2x + 5 = 21

Answers

Step-by-step explanation:

subtract 5 under itself and 21 , then cross out the 5 and only subtract 21 and 5 which is 16 and then bring down 2x so now your equation will be 2x=5 so now your gonna divide 2 and 5

Garrett and Jeffrey are planning a treasure hunt. They decide to place a treasure at
a point that is a distance of 5 units from the -axis and 3 units from the -axis.
Jeffrey places a treasure at point J, and Garrett places one at point G.
Who put the treasure in the right place?
A Garret, he put the treasure at (3, 5)
B Jeffery, he put the treasure at (5, 3)
C Garret, he put the treasure at (5, 3)
D Not here

Answers

Answer:

Step-by-step explanation:

Triangle KLM is similar to triangle NOP. Find the measure of side NO. Round your

answer to the nearest tenth if necessary.

M

P Р

O

1

23

51.6

38

N

Answers

Answer:

[tex]NO= 31.2[/tex]

Step-by-step explanation:

See attachment for triangle

From the attachment, we have:

[tex]KL = 51.6[/tex]

[tex]LM= 38[/tex]

[tex]OP = 23[/tex]

Required

Find NO

This will be calculated using the following equivalent ratios:

[tex]NO : OP = KL : LM[/tex]

This gives:

[tex]NO : 23= 51.6: 38[/tex]

Express as fraction

[tex]\frac{NO }{ 23}= \frac{51.6}{ 38}[/tex]

Make NO the subject

[tex]NO= \frac{51.6}{ 38} * 23[/tex]

[tex]NO= \frac{51.6* 23}{ 38}[/tex]

[tex]NO= \frac{1186.8}{ 38}[/tex]

[tex]NO= 31.2[/tex] --- approximated

Answer:

x≈ 16.9

Step-by-step explanation:

convertir 5000 cm a km​

Answers

Answer:

0.05 kilometer is the answer

Step-by-step explanation:

hope this answer may help you

Someone please help me and thank you:)

Answers

Answer:

D

Step-by-step explanation:

Answer:

n+4=32 models this scenario.

This is because n+4 would show how many students are originally in the class.

Let me know if this helps!

Change 79/3 into a mixed number

Answers

Answer:

26 1/3

Step-by-step explanation:

I simplfied 79/3 on paper :)

A soft-drink machine is regulated so that the amount of drink dispensed is approximately normally distributed with known standard deviation, sigma. Given a random sample of n drinks and the sample mean, x-bar, you find a 90% confidence interval for the mean of all drinks dispensed by this machine. Then you calculate a 90% confidence interval (same confidence level) using a larger sample, for example (n 20) drinks. Also, you notice that the sample mean, x-bar, is the same for both samples.

Required:
Was this a reasonable decision?

Answers

Answer:

This is  a reasonable decision because the sample size has no effect on the 90% confidence interval

Step-by-step explanation:

90% confidence interval

larger sample size = 20

condition : sample mean ( x-bar ) is the same for both samples

This is  a reasonable decision because the sample size has no effect on the 90% confidence interval

from condition 1 :

Amount of drink dispensed is normally distributed with known standard deviation , given a random sample of n drinks and the sample mean at a confidence interval of 90%

for condition 2 :

sample size = 20

mean = 2.25 ( assumed value )

std = 0.15 ( assumed value )

Z = 1.645 ( Z-value )

determine the 90% confidence interval

= mean ± z [tex]\frac{std}{\sqrt{n} }[/tex]

= 2.25 ± 1.645 [tex]\frac{0.15}{\sqrt{20} }[/tex]

= 2.25 ± 0.0335 = ( 2.2835 , 2.2165 )

what is
6 over 9
and
11 over 88​

Answers

Answer:

6 over 9 = 6/9 11 over 88 = 11/88 6/9 = 0.6667(repeating) 11/88 = 0.125

P.S. Dont fall for those link scams! ;)

Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D

Solve for b:19-b=31

Answers

Answer:

-12

Step-by-step explanation:

Answer is -12!!!!!!!!!!!!!!!

Mitchell earns $40 for mowing the lawn. He spends $5 on ice cream and $15 on a book. Write an equation for how much money Mitchell has left.
ASAP ill give brainliest

Answers

he has a total of 40

$40-$5-$15=$20

he has a total of $20 left

mark brainliest

what is the answer for this? Select all the fractions that are equivalent to 45. Use the area models to help.

Answers

Answer: bro you have to submit a picture or some more information baceuse nobody will be able to answer your question with only one number (45)

Step-by-step explanation:

ANSWER ONE OF THESE FAST PLEASE!!!

Answers

Answer:

x7

Step-by-step explanation:

Graph the solution set of the inequality 1/2y < -3

Answers

Answer:

y  <  − 6 ?

Step-by-step explanation:

Its a straight line on graph so it's linear

Answer:

w

Step-by-step explanation:

21m42n32p10
Зm 21n16 р5
Simplify

Answers

Mhh I dont know sry lol

Step-by-step explanation:

meh dont know

Which of these describes information that can appear in a consumer 's credit report?

A. The Name Of A Store Where The Consumer pays for all purchases

B. The Name Of A Company That Gave The Consumer A Car Loan 2 Years Ago

C. The Amount Of Money The Consumer Will Need Too Borrow In The Next 5 Years

D. The Amount That The Consumer Loaned To A Family Member​

Answers

Answer:

b the car loan .................

Rebecca buys some socks that cost $5 per pair and 2 t-shirts that cost $12 each. The cost of Rebecca’s total purchase is $39.

Answers

Answer:

3 pairs of socks

Step-by-step explanation:

2 shirts *12per shirt = $24 spent so far

$39 - $24 dollars spent so far = $15 dollars left

$15 dollars left/$5 per pair of socks = 3 pairs of socks.

An equation is formed of two equal expressions. The total number of socks that Rebecca bought is 3.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of pairs of socks that Rebecca bought be represented by x.

Given that Rebecca buys some socks that cost $5 per pair and 2 t-shirts that cost $12 each. Also, the total purchase value is $39. Therefore, we can write the equation as,

Purchase value of socks + Purchase value of t-shirts = Total purchase value

($5 × x) + ($12 × 2) = $39

5x + 24 = 39

5x = 39 - 24

5x = 15

x = 15/5

x = 3

Hence, the total number of socks that Rebecca bought is 3.

Learn more about Equation here:

https://brainly.com/question/14686792

#SPJ2

helpppppp ill give brainliest answer if you know

Answers

Answer: 522.67 mm^3

Step-by-step explanation:

use formula

30 POINTS FOR JUST ONE QUESTION :)

Answers

Answer:

maybe its a or c

Step-by-step explanation:

Answer:

D) 14,400

Step-by-step explanation:

trust me

Two angles are supplementary. If one angle is 45° less than twice of the other angle, find the two angles.

Answers

Answer:

we will call the two angles a and b

a = 105

b = 75

Step-by-step explanation:

Supplementary means the two angles add up to 180 degrees.  Now this turns into a system of equations problem.  let's call the two angles a and b.

Lets say angle a is 45 degrees less than twice the other angle.  that means a = 2b - 45.  The first part told us a + b = 180

a + b = 180

a = 2b - 45

Now this is actually super easy to do.  Normally you would have to do algebra to one of the two equations so there is one variable by itself.  the second equation already has that.

now look at the other equation.  instead of a though make a = 2b - 45

a + b = 180

2b - 45 + b = 180

Now use algebra to solve for b

2b - 45 + b = 180

b = 75

Now, go back to the first two equations.  put 75 in for b for either one of them and you will get the answer to a.

a + 75 = 180

a = 105

or

a = 2*75 - 45

a = 105

Now we can check.  a=105 and b = 75

do both add up to 180?  yep.  is a 45 less than twice b?  or using numbers, is 105 45 less than twice 75?  well twice 75 is 150.  and 105 is 45 less than that, so yep!

Let me know if there was anything you didn't get.  Also you could totally have started with the other equation first and got a = 180 - b or b = 180 - a and gotten the same answer.

Given the equitation 3x+6x=30. What is the slope and y intercept.

Answers

Answer:

slope-5/3-1 2/3

y-intercept=-2

Step-by-step explanation:

hope that helps if correct please mark as brainliest thank you

19NBoli


Need help QUICKLYY ———————————————————

Answers

Answer: a. g(x) = 3^x + 2 b. y = 3 c. same graph but shifted two units up

Step-by-step explanation:

Helppppppppppppppppp

Answers

Answer:the second one

Step-by-step explanation:

anwser c

step-by-step explenation                                          

5x3 + 9x² - 13x - 2
As x approaches --, f(x) approaches
As x approaches +o, f(x) approaches​

Answers

9514 1404 393

Answer:

  (x, y) → (-∞, -∞), (+∞, +∞)

Step-by-step explanation:

The expression is of odd degree with a positive leading coefficient. It will have a generally upward slope (/). That is, the sign of f(x) will match the sign of x for large-magnitude values of x:

  x → -∞, f(x) → -∞

  x → ∞, f(x) → ∞

10. Ayden travels from Orlando to Tampa to see his grandparents. If the trip is 897,600 feet round trip, how many miles does Ayden travel one way? A 85 miles B 170 miles C 255 miles D 340 miles 11. Jason bought 4.5 kilograms of cream me of cream?​

Answers

Im sorry sam
Bell Lah-Lah she will do
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