In ΔNOP, n = 800 inches, ∠P=97° and ∠N=32°. Find the length of o, to the nearest inch.

Answer:

are those synthetic division?

Answer:

x = -5

Step-by-step explanation:

-4(x+3)=8

(-4)(x)+(-4)(3)=8 (distribute)

-4x - 12 = 8

-4x - 12 + 12 = 8 + 12

-4x = 20

-4x/-4 = 20/-4 =

x = -5

-Elaina <3

Answer:

30 m

Step-by-step explanation:

You simply add the lengths of all the sides. 3 m is not needed for this.

Answer:

10+5+4+6+5 = 30m

Step-by-step explanation:

Answer:

Your answer would be x = 1/2

Step-by-step explanation:

1/x = 2

You would divide x on both sides...then they would cancel each other out.

But now you're left with...

1 = x•2

So, re-order the terms so constants are on the left

1 = 2x

Divide 2 on both sides...

Now you're left with

1/2=x or more practically it would be x = 1/2

Hope this helps!

Answer: $42 left

Step-by-step explanation:

30% of 60 = 18 60-18 leaves $42

Answer:

It would travel 157,8 miles with 9 gallons of gas.

Step-by-step explanation:

15 gallons / 263 miles

= 3 gallons / 52,6 miles

= 9 gallons / 157,8 miles.

Answer:

True

Step-by-step explanation:

Answer:

E.The price for travelling 150 miles is same for both company.

Step-by-step explanation:

We are given that Joseph is going on a trip and he needs to rent a car.

Company A

Charge $0.25  per mile plus  $50 rental fee.

Company B  charges 40.45 per mile plus $20 rental fee.

A.Total distance=150 miles

Company A

Charges for 150 miles=$37.5

Total charges=37.5+50=$87.5

Company B

Charges for 150 miles==$67.5

Total charge=20+67.5=$87.5

The price for travelling 150 miles is same for both company.

But if distance greater than 150 miles such 155  miles

Company A

Total charge=$88.75

Company B

Total charges=$89.75

Company A is better deal if Joseph more than 150 miles.

If distance 145 miles

Price form company A=$86.25

Price form company B=$85.25

Company B is better deal if Joseph travel less than 150 miles.

Hence, option E is true.

I hope this helps you <3333

Answer:

She receives 700 country A dollars.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

1.4 country a dollars Per country B dollar

She exchanges 500 country B dollars, so:

1.4 country A dollars - 1 country B dollar

x country A dollars - 500 country B dollars

Applying cross multiplication:

[tex]x = 1.4*500 = 700[/tex]

She receives 700 country A dollars.

Answer:

h(x) and k(x)

Step-by-step explanation:

The functions that exhibit a removable discontinuity are function i(x) and function k(x)

"An equation of the form ax² + bx + c = 0 is a quadratic equation."

"It defines a relation between input and output values."

"This function has a discontinuity at one or more values mainly because of the denominator of a function is being zero at that."

"If adjusting the function's value at the point of discontinuity will render the function continuous, then such discontinuity is called removable discontinuity."

"If adjusting the function's value at the point of discontinuity will not render the function continuous, then such discontinuity is called non-removable discontinuity."

For given question,

1) Consider a function [tex]f(x)=\frac{x^{2} +4x-21}{x^{2} -13x+42}[/tex]

If we factorize the quadratic equation at numerator and denominator then the given function would be,

[tex]f(x)=\frac{(x-3)(x+7)}{(x-7)(x-6)}[/tex]

We can observe that the function f(x) is discontinuous at x = 7 and x= 6.

So, the function f(x) has non-removable discontinuity.

2) Consider a function [tex]g(x)=\frac{2x^{2} -5x+12}{2x+3}[/tex]

We can observe that the function g(x) is discontinuous at x -3/2.

We cannot factorize the quadratic equation at numerator.

So, the function g(x) has non-removable discontinuity.

3) Consider a function [tex]h(x)=\frac{x-3}{x^{2} -9}[/tex]

If we factorize the quadratic equation at denominator then the given function h(x) would be,

[tex]\Rightarrow h(x)=\frac{(x-3)}{(x-3)(x+3)}\\\\\Rightarrow h(x)=\frac{1}{x+3}[/tex]

We can observe that the function h(x) is discontinuous at x = -3

So, the function h(x) has non-removable discontinuity.

4) Consider a function [tex]i(x)=\frac{x^{2} -8x+15}{x-5}[/tex]

If we factorize the quadratic equation at numerator then the given function would be,

[tex]\Rightarrow i(x)=\frac{(x-5)(x-3)}{x-5}\\\\ \Rightarrow i(x)=x-3[/tex]

We can observe that the function i(x) is a continuous function.

So, the function i(x) has removable discontinuity.

5) Consider a function [tex]j(x)=\frac{x+4}{-2x+8}[/tex]

We can observe that the function j(x) is discontinuous at x = 4

And the function j(x) has non-removable discontinuity.

6) Consider a function [tex]k(x)=\frac{2x^{2} +x-15}{2x-5}[/tex]

If we factorize the quadratic equation at numerator then the given function would be,

[tex]\Rightarrow k(x)=\frac{(x+3)(2x-5)}{(2x-5)}\\\\ \Rightarrow k(x)=x+3x^{2}[/tex]

We can observe that the function k(x) is a continuous function.

So, the function k(x) has removable discontinuity.

Therefore, the functions that exhibit a removable discontinuity are function i(x) and function k(x)

Learn more about the removable discontinuity here:

https://brainly.com/question/9648611

#SPJ2

Answer:

The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.

Step-by-step explanation:

Margin of error

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Standard deviation of 1.3

This means that [tex]\sigma = 1.3[/tex]

She surveys 124 families

This means that [tex]n = 124[/tex]

Margin of error and meaning:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 2.58\frac{1.3}{\sqrt{124}}[/tex]

[tex]M = 0.3012[/tex]

The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.

Answer:

The answer is  A there you go the other person tricked you he just said easy so he can have enough words to get the points next time do not be fooled :)

Answer:

the answer is -3

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Each one of them will get 3/4 or 0.75

Answer:

3/4 or 0.75

Step-by-step explanation:

1 1/2 divided by 2 is 3/4 or 0.75

Check:

3/4+3/4=6/4=1 1/2

Hope this helps! Have a nice day :)

Answer:

D

Step-by-step explanation:

Answer:

You must tell me which is the base , width , and height please and thank you

Step-by-step explanation:

Include a picture if you have one too

Answer:

180degreesStep-by-step explanation:

Given the complex value

z² = -81i

z = (-81i)^1/2

Get the argument of -81i

theta = arctan(y/x)

theta = arctan(-81/0)

theta = -90degrees

theta = -π/2

Since tan is negative in the secind quadrant

theta =  π - π/2

theta = π/2

According to demoivres theorem

theta = 1/2 * π/2

theta = π

theta = 180degrees

Answer:

Step-by-step explanation:

Let x = to the number of nickels.

Let x + 7 = the number of quarters.

So multiply x by .05 to find out how much the nickles are worth and

multiply x + 7 by .25  to find out how much the quarters are worth.

Then add them together to get the total and solve.

.05x + .25(x + 7) = 2.65

.05x + .25x + 1.75 = 2.65

.30x + 1.75 = 2.65

Subtract 1.75 from each side of the equation.

.30x = .90

x = 3

x + 7 = 10

So 10 is the number of quarters.

Answer:

Step-by-step explanation:

we only have to have 7 more quarters than nickels.. so put one nickel and 8 quarters

that's $2.05

now make up the rest to make 2.65

add 6 dimes and you've got it :)

1 nickel

6 dimes

8 quarters

Answer:

5.25 cm

per a tr

iangle

Answer:

It would be 11, 23, and 33

Step-by-step explanation:

because, 2 side of the triangle should add up to greater than your other side of the triangle. And so on for each of the sides.  

9514 1404 393

Answer:

  arc FG = 115°

  arc EG = 165°

Step-by-step explanation:

The first step is to understand how these arcs are arranged on a circle. The next step is to realize the whole is the sum of the parts. Arcs have the same measure as their central angle. A circle totals 360°.

  arc EF + arc FG = arc EFG . . . . parts of an arc add to give the whole arc

  80° + arc FG = 195°

  arc FG = 115° . . . . . . . . . subtract 80°

__

Similarly, parts of a circle add to give the whole circle.

  arc EFG + arc EG = 360°

  195° + arc EG = 360°

  arc EG = 165° . . . . . . . . . subtract 195°

Answer:

The correct answer is 6

Step-by-step explanation:

42 = 7r

R = 42/7 = 6

Answer:

r=6

Step-by-step explanation:

Divide both sides of the equation by the same term

simplify

Answer:

i. ¯x= 8

ii. sx= 4

iii. n= 81

iv. n−1= 80

Step-by-step explanation:

i. ¯x=

This is the sample mean, which is 8 hours.

ii. sx=

Standard deviation of the sample, which is of 4 hours.

iii. n=

Size of the sample, which is 81.

iv. n−1=

Degrees of freedom(sample size subtracted by 1), which is 81 - 1 = 80

Answer:

3 cups of sugar

Step-by-step explanation:

you increase it as per ratio,in this case ratio is 1.5

[tex] \huge {\star }\: Answer[/tex]

The above equation is applicable for each and every value of a,

So, Correct option is A. True

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Answer:

1/6

Step-by-step explanation:

1/2 multiplied by 1/3

Answer:

That day Jiao spent $CNY 514.29.

Step-by-step explanation:

Given that Jiao is a Chinese student visiting family in the United States, and she spent $ 79 on dinner for her family one evening, if the exchange rate that day is UDS to CNY = 6.51, to determine approximately how much money did she spend in CNY the following calculation must be performed:

79 x 6.51 = X

514.29 = X

Therefore, that day Jiao spent $ CNY 514.29.

Answer:

20.41

20=nearest whole number

20.4=nearest tenth

20.41=nearest hundredth

hope this helps

have a good day :)

Step-by-step explanation:

Answer: 20.40

Step-by-step explanation:

20.41

       | (Hundreth place)

=20.40 because 1 is smaller than 5 thus you round down.