solve equation by taking square roots n^2+4=40

Answers

Answer 1

Answer:

n = ±6

Step-by-step explanation:

n² + 4 = 40

n can be solved by finding the square root

n²  = 40 - 4

n²  = 36

n = √36

n = ±6


Related Questions

two strips of fabric measures 14 3/4 inches and 20 7/8 inches in length. to form one length, the strips are sown together using 1/2 inch from each strip to make the seam. what is the final length of the fabric after two strips are sewn together

Answers

Answer:

34 5/8 inches

Step-by-step explanation:

Let the two strips be fabric A and fabric B

Fabric A= 14 3/4 inches

Fabric B = 20 7/8 inches

To form one length, the strips are sown together using 1/2 inch

Length after sewing=

Fabric A - 1/2 inch

= 14 3/4 inches - 1/2 inch

= 59/4 - 1/2

= 59-2 /4

= 57/4 inches

Length after sewing=

Fabric B - 1/2 inch

= 20 7/8 inches - 1/2 inch

= 167/8 - 1/2

= 167-4 /8

= 163/8 inches

Final length of the fabric after two strips are sewn together

= 57/4 inches + 163/8 inches

= 114+163 /8

= 277/8

= 34 5/8 inches

Final length of the fabric after two strips are sewn together= 34 5/8 inches

8(-5x + 3) use x = 6 how do i do this?​

Answers

first you would plug in 6 for x because x=6.
8(-5(6)+3)

then you would just solve

parentheses first so
8(-35+3)

8(-32)

=-256

After your first semester of college is over, you discover that the math department has changed textbooks (again) so the bookstore won't buy back your nearly-new book. You and your friend Amber decide to get creative. You go to the roof of a twelve-story building and look over the edge to the reflecting pool 160 feet below. You drop your book over the edge at the same instant that Amber chucks her book straight down at 48 ft/s. By how many seconds does her book beat yours into the water?

Answers

Answer:

about 2 or 3

Step-by-step explanation:

heres what u do go onlie and put the books up for sale.

Answer:

The book of amber will reach the pool 6.78 seconds before the other

Step-by-step explanation:

common sense

Simplify –56 ⋅ 25 ⋅ 4. State a property that you can use.

Answers

Answer:  [tex]-56\cdot 25\cdot 4 = -5600[/tex] .

Step-by-step explanation:

Associative property of multiplication : We can group numbers to multiply in any order like

[tex]p\times (q \times r) = (p\times q )\times r = p\times q\times r[/tex], where p , q and r can be any expression.

The given expression : [tex]-56\cdot 25\cdot 4[/tex]

By using associative property of multiplication, we have

[tex]-56\cdot(25\cdot 4)\\\\= -56\cdot 100\\\\=-5600[/tex]

Hence, [tex]-56\cdot 25\cdot 4 = -5600[/tex] .

Find a geometric representation for the following sequences of
numbers.

3, 4, 5, 6, 7, …

Answers

A triangle , a square , pentagon, and then u basically just increase the number of sides

The sequence represents triangle,quadrilateral,pentagon,hexagon,heptagon.

What is a sequence ?

A sequence is a set of numbers which represents some common relation or representation among these numbers.

The geometric representation of the sequence 3,4,5,6,7... can be.

Given it represents geometry so it can be angles,sides.It can also represent interior angles.

If this sequence represents sides then it is triangle, quadrilateral, pentagon, hexagon...

If it represents interior angles then this sequence is also of triangle, quadrilateral, pentagon, hexagon,heptagon.

learn more about sequence here :

https://brainly.com/question/21961097

#SPJ2

Subtract the polynomials. (x2+3x−7)−(3x2−5x+3)

Answers

Answer:

-2x^2+8x-10

Step-by-step explanation:

(x^2+3x−7)−(3x^2−5x+3)

Distribute the minus sign

(x^2+3x−7)−3x^2+5x-3

Combine like terms

-2x^2+8x-10

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{ - 2 {x}^{2} + 8x - 10}}}}[/tex]

Step-by-step explanation:

[tex] \sf{( {x}^{2} + 3x - 7) - (3 {x}^{2} - 5x + 3)}[/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression. Also, remove the parentheses

⇒[tex] \sf{ {x}^{2} + 3x - 7 - 3 {x}^{2} + 5x - 3}[/tex]

Collect like terms

⇒[tex] \sf{ {x}^{2} - 3 {x}^{2} + 3x + 5x - 7 - 3}[/tex]

⇒[tex] \sf{ - 2 {x}^{2} + 8x - 10}[/tex]

Hope I helped!

Best regards!!

A new electronic store opened recently. There are several sales associate positions that pay an hourly rate of $7.50 plus a 4.5% commission based on the sales associates total weeking sales. Sales assqqociates are guaranteed 30 hrs of work per week,but no more that 40 hrs. At the electronics store, sales associates average $7,000 in sales each week. USE THE AVERAGE WEEKLY SALES FIGURE OF $7,000 AND HOURLY RATE OF $7.50. WRITE AN EQUATION, CREATE A TABLE, AND CREATE A GRAPH FOR A SALES ASSOCIATE'S WEEKLY EARNINGS, f(x), where x represents the total number of hours the sales associate would work.​

Answers

Answer: f(x) = 7.50x + 315

Step-by-step explanation:

Let x represent the number of hours

Given: rate = 7.50,     commission = 4.5%(7,000) = 315

Equation: f(x) = 7.50x + 315

Table:

[tex]\boxed{\begin{array}{c||r|c||c}\underline{\text{Hours}}&\underline{\text{Wage}}&\underline{\text{Commission}}&\underline{\text{Weekly Earnings}}\\30&7.5(30)=225.00&315&540.00\\31&7.5(31)=232.50&315&547.50\\32&7.5(32)=240.00&315&555.00\\33&7.5(33)=247.50&315&562.50\\34&7.5(34)=255.00&315&570.00\\35&7.5(35)=262.50&315&577.50\\36&7.5(36)=270.00&315&585.00\\37&7.5(37)=277.50&315&592.50\\38&7.5(38)=285.00&315&600.00\\39&7.5(39)=292.50&315&607.50\\40&7.5(40)=300.00&315&615.00\end{array}}[/tex]

Graph: (see below)

Find the distance between the points: (-3, -4) and (5, 5). If necessary, round your answer to the nearest tenth. A.14.4 b.19 c.12 d.11.8

Answers

Answer:

The answer is option C

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3, -4) and (5, 5)

The distance between them is

[tex]d = \sqrt{( { - 3 - 5})^{2} + ({ - 4 - 5})^{2} } \\ = \sqrt{ ({ - 8})^{2} + ( { - 9})^{2} } \\ = \sqrt{64 + 81} \\ = \sqrt{145} \\ = 12.04159 [/tex]

We have the final answer as

12 units to the nearest tenth

Hope this helps you

what is the opposite of -|-1| ?​

Answers

Answer:

l1l

Step-by-step explanation:

helpppppppppp aasapppp

Answers

Answer:

2

Step-by-step explanation:

Simplify the following:

(-(2 + 2/3))/(-(1 + 1/3))

(-(2 + 2/3))/(-(1 + 1/3)) = (-1)/(-1)×(2 + 2/3)/(1 + 1/3) = (2 + 2/3)/(1 + 1/3):

(2 + 2/3)/(1 + 1/3)

Put 1 + 1/3 over the common denominator 3. 1 + 1/3 = 3/3 + 1/3:

(2 + 2/3)/(3/3 + 1/3)

3/3 + 1/3 = (3 + 1)/3:

(2 + 2/3)/((3 + 1)/3)

3 + 1 = 4:

(2 + 2/3)/(4/3)

Put 2 + 2/3 over the common denominator 3. 2 + 2/3 = (3×2)/3 + 2/3:

((3×2)/3 + 2/3)/(4/3)

3×2 = 6:

(6/3 + 2/3)/(4/3)

6/3 + 2/3 = (6 + 2)/3:

((6 + 2)/3)/(4/3)

6 + 2 = 8:

(8/3)/(4/3)

Multiply the numerator by the reciprocal of the denominator, (8/3)/(4/3) = 8/3×3/4:

(8×3)/(3×4)

(8×3)/(3×4) = 3/3×8/4 = 8/4:

8/4

The gcd of 8 and 4 is 4, so 8/4 = (4×2)/(4×1) = 4/4×2 = 2:

Answer: 2

Answer:

2

Step-by-step explanation:

Convert mixed fraction to improper fraction

[tex]-2\frac{2}{3}=-\frac{8}{3}\\\\\\-1\frac{1}{3}=-\frac{4}{3}[/tex]

[tex]-2\frac{2}{3}[/tex] ÷ [tex]-1\frac{1}{3} =[/tex] [tex]\frac{-8}{3}[/tex] ÷ [tex]-\frac{4}{3}[/tex]

                  [tex]=-\frac{8}{3}*-\frac{3}{4}\\\\\\=2 *1 \\\\= 2[/tex]

A local pizza shop has a membership program for frequent buyers. The membership
costs $25 per month and members get a discounted price of $1.50 per slice of pizza.
Aaliyah purchased a membership to this pizza shop. How much would Aaliyah have
to pay the pizza shop if she bought 6 slices of pizza this month? What would be the
monthly cost for a slices of pizza?

Answers

Answer:

$34

$26.5

Step-by-step explanation:

Membership cost per month = $25

Price of a slice of pizza for members= $1.50

How much would Aaliyah have

to pay the pizza shop if she bought 6 slices of pizza this month

Total cost of Aaliyah on 6 slices of pizza = membership cost per month + prices of 6 discounted pizza

= $25 + $1.50(6)

= $25 + $9

= $34

What would be the

monthly cost for a slices of pizza

Monthly cost of Aaliyah a slices of pizza = membership cost per month + price of 1 discounted pizza

= $25 + $1.5

= $26.5

Answer:

Monthly cost for 6 slices: 25+1.50(6)=34

Monthly cost for x slices: 25+1.50x

hope this helps

solve x^3 = 1/8 please i’m dumb and don’t know

Answers

Answer:

1/2

Step-by-step explanation:

Cube root of .125 which is 1/8 is 1/2

A Man run 1200 meter on a straight line in 4 minutes.find his velocity​

Answers

Answer:

Hey!

Your answer is 5 m/s!

Step-by-step explanation:

TO FIND VELOCITY:

DISTANCE COVERED / TIME TAKEN

1,200 m / 240 s (we convert 4 mins into seconds for it to fit the formula ie 4 x 60 seconds)

ANSWER: 5

(units are always given as m/s)

HOPE THIS HELPS!!

If you were to describe a reflection of a triangle with information would you need to include in the description?

Answers

Answer:

the points and where it is located

Step-by-step explanation:

The perimeter of the square kitchen floor measures 48 feet. What is the area of the kitchen floor?
32 feet
96 square feet
144 square feet
144 cubic feet

Answers

I hope this helps you...

Hey please sorry its three questions thank you.

Answers

Bacd the ancestors

What is -14 +(-3)

Ps. This is 7th-grade math

Answers

Answer:

-17

Step-by-step explanation:

-14 + (-3)

-14 - 3

-17

The answer is -17. 14+3=17 plus negative sign.

AC = 23. AB = 2x + 2, and BC = 3x + 6. Find BC ​

Answers

Answer:

21

Step-by-step explanation:

Given AC = 23, AB = 2x + 2 and BC = 3x+6 then using vector notation;

BA+AC = BC

Since BA = -AB

The equation becomes -AB+AC = BC

Substituting the given equations;

-(2x+2)+23 = 3x+6

open the parenthesis

-2x-2+23 = 3x+6

-2x+21 = 3x+6

collect the like terms

-2x-3x = 6 - 21

-5x = -15

Divide both sides by -5

-5x/-5 = -15/-5

x = 3

TO get BC, we will substitute x = 3 into the expression BC = 3x+6

BC = 3(5)+6

BC = 15+6

BC = 21

Hence the length of BC is 21 units

ration Numbers
Real Numbers
Integers
Whole
Numbers
Inational
Numbers
The subsets of the real numbers can be represented in a Venn diagram as shown
To which subsets of real numbers does 12 belong?
A
Integers and Whole Numbers only
8
Rational Numbers, Integers, and Whole Nmbers
Rational Numbers and Integers only
D
Irrational Numbers integers, and Whole dumbers

Answers

Answer:

12 belongs in the rational numbers, integers, and whole numbers

Step-by-step explanation:

12 is a whole number so it belongs in every category that has whole numbers.

y=-|x-2|
Please help me

Answers

Answer:

y = -|x-2| (*)

2 cases:

case 1: for x≥2 <=> |x-2| = x-2

(*) <=> y = - (x-2)

<=> y = -x+2

<=> x+y = 2

case 2: for x>2 <=> |x-2| = 2-x

(*) <=> y = -(2-x)

<=> y = x-2

<=> x-y = 2

since there are 2 variables but just one equation, we cannot find the exact values of x and y. Instead, we can find some kind of connection between them.

help me pls and ty !

Answers

Answer:

[tex]a=2.6-3.4b[/tex]

Step-by-step explanation:

So we have the equation:

[tex]2.2a+3.4b=1.2a+2.6[/tex]

And we want to solve for a.

So, subtract 1.2a from both sides:

[tex](2.2a+3.4b)-1.2a=(1.2a+2.6)-1.2a\\1a+3.4b=2.6[/tex]

Now, subtract 3.4b from both sides:

[tex](a+3.4b)-3.4b=2.6-3.4b\\a=2.6-3.4b[/tex]

And that's our answer :)

Simplifying Radicals:
[tex] \sqrt{30} [/tex]

Answers

the answer is 5.47722557505

Guys, I am taking the SHSAT and I am not confident I don't think I am smart enough to pass. I study like crazy but nothing sticks in my mind and if I don't pass my parents will be disappointed. What do I do?

Answers

Answer:

hope this helps

Step-by-step explanation:

my parents are the same way so if you listen to classical music then things will stick in you head and you can draw things to remind you what they mean like if you had a definitions then draw what they mean

What is the approximate side length of a game board with an area of 160 in.

Answers

Answer:

13 in

Step-by-step explanation:

[tex]\sqrt{a} =160[/tex]²

Perfect squares close to 160 include 144 and 169

12²=144

13²=169

Now that we can see 160 is closer to 169 rather than 144,

[tex]\sqrt{160}[/tex]≈ 13 in

Hope this helps! :)

And if possible, please mark my answer brainliest so i can get to the next rank  :(

A small newspaper company is downsizing and has lost employers at a steady rate. twelve months ago they had 65 employees, and now they have 29.

Answers

Answer:

each month 3 employees were laid off.

Step-by-step explanation:

the company started with 65 employees 12 months ago, and now there are 29. 65 - 29 = 36. In 12 months, 36 employees were laid off. 36 employees divided by 12 months = 3 employees per month.

Simplify. 6m+7n+5m−3nhow to earn points

Answers

Answer:

11m + 4n ...............

Simplify: (6x-4) (9x-2)

Answers

54x^2 - 48x + 8 is the answer

Step-by-step explanation:

6x(9x-2)-4(9x-2)

54x²-12x-36x+8

54x²-48x+8

Given g(x) = -x + 3, find g(1).

Answers

ANSWER: 2 EXPLANATION: the equation will turn to g(x)=-1+3=2

Super confused definitely need help on this

Answers

Answer:

[tex](x-5)(x+8)=x^2+3x-40[/tex]

Step-by-step explanation:

So we have the expression:

[tex](x-5)(x+8)[/tex]

To multiply, distribute the left to the terms on the right:

[tex]=(x-5)(x)+(x-5)(8)[/tex]

Distribute:

[tex]=(x^2-5x)+(8x-40)[/tex]

Combine like terms:

[tex]=(x^2)+(-5x+8x)+(-40)[/tex]

Simplify:

[tex]=x^2+3x-40[/tex]

Therefore:

[tex](x-5)(x+8)=x^2+3x-40[/tex]

Answer:

Step-by-step explanation:

x^2 + 8x - 5x - 40

x^2 + 3x - 40

Which numbers in Set A = {−7, −4, 2, 14, 21, 34, 42} are elements of both Set B and Set C, shown below? Set B = {even numbers} Set C = {multiples of 7} and Enter answers from smallest to largest THERE ARE TWO QUESTIONS

Answers

Answer:

14, 42

Step-by-step explanation:

Set A = {−7, −4, 2, 14, 21, 34, 42}

Set B = {even numbers}

Set C = {multiples of 7}

There is only one question asked

Which numbers in Set A are elements of both Set B and Set C,

We need it to be even and a multiple of 7

14 is even and a multiple of 7  and 42 is even and a multiple of 7

Answer:

[tex]\Huge \boxed{\mathrm{\{ 14, 42\} }}[/tex]

Step-by-step explanation:

[tex]\mathrm{Set \ A = \{-7, -4, 2, 14, 21, 34, 42\} }\\\\\\\mathrm{Set \ B = \{even \ numbers\} } \\\\\\\mathrm{Set \ C = \{multiples \ of \ 7\}}[/tex]

Whatever number is in Set A, it must also be in Set B and Set C.

The elements in Set A must be an even number and a multiple of 7.

Multiples of 7 from Set A are -7, 14, 21, 42.

The even numbers from these multiples of 7 are 14 and 42.

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