Simplify. State any restrictions on the variables.
[tex]\frac{x^2+9x+18}{x+6}[/tex]

Answer:

10x+10 = 110

Step-by-step explanation:

The two angles are vertical angles and vertical angles are equal

10x+10 = 110

Answer:

B=19

C=42

D=119

Step-by-step explanation:

First, fine the value of x, than use that in each angle to find the measurement.

All angles together in the triangle equal 180

Set your formula up as

180=(x+2)+(3x-9)+7x

180=x+3x+7x+2-9

180-2+9=11x

187=11x

187/11=x

17=x

Angle B

B=x+2

B=17+2

B=19

Angle C

C=3x-9

C=3*17-9

C=42

Angle D

D=7x

D=7*17

D=119

Now add all 3 tougher to check your work

19+42+119 = 180

Answer:

All functions are relations

Step-by-step explanation:

Answer:

Step-by-step explanation:

Formula = V = l x w x h

V = 4.25 x 2.75 x 5

V = 58.438 --> 58.44

Answer:

-3, 4

Step-by-step explanation:

__________________

Answer:

the possible outcome sequences when a die is rolled 4 times is 1296

Step-by-step explanation:

 Given the data in the question;

a die is rolled 4 times

and outcomes are { 3, 4, 3, 1 }

we know that; possible number of outcomes on a die is n = 6{ 1,2,3,4,5,6 }

Now when we roll a die lets say, r times

then the total number of possible outcomes will be;

N = [tex]n^r[/tex]

given that; r = 4

Hence if we roll a die 4 times;

Total number of possible outcome N = 6⁴

N = 1296

Therefore, the possible outcome sequences when a die is rolled 4 times is 1296

The following is the plot of the normal percent point function. where \phi is the cumulative distribution function of the standard normal distribution and Φ is the probability density function of the standard normal distribution.

Answer: Rs 7600

Step-by-step explanation:

The interest will be calculated as:

= Principal × Rate × Time

= 40000 × 5% × 4

= 40000 × 0.05 × 4

= 8000

Since he has to pay 5% of the total interest as tax for the bank, the amount that he will he get after 4 years will be:

= 8000 - (5% × 8000)

= 8000 - (0.05 × 8000)

= 8000 - 400

= 7600

Therefore, he'll get Rs 7600

5+4+7+2=18

18-2=16

16/18

88% chance of selecting a marble that isnt white

Answer:

8/9

Step-by-step explanation:

P(white) = (2) ÷ (5+4+7+2) = (2)/(18) = 1/9

P(not white) = 1 - P(white) = 1 - 1/9 = 8/9

Answer:

B, 20,000

Step-by-step explanation:

429 X 48 = 20,598

If you estimate, it would be 20,000.

So, there you know B, 20,000 is your answer.

Answer:

D. -35,-23,-12,58

Step-by-step explanation:

Image a line that goes to the negative, as well as the positives, -35 would be lower on that line

-35          -23       -12        0       12      23          35           58

--------------------------------------------------------------------------------------

Answer:

Answer is 120/1

Step-by-step explanation:

Marsha can type 120 words per minute. Which ratio describes this relationship between her words typed and time?

Marsha an type in 1 minute = 120 words

The ratio can be described word types and time = 120 words per 1 min

                                                                                 = 120/1

Answer: D

Step-by-step explanation:

My answers correct becuase, A ratio is just the numbers put together put a : in between them. So if it is asking us words to the time all we have to do is put 120 and then a semicolone and 1. 120:1 And D is the one that has that answer so D is correct. Additonal Information: Also sometimes you would have to divide the number equally to get the ratio.

Hope This Helps!

Answer:

288 donuts

Step-by-step explanation:

Answer:

288 donuts

Step-by-step explanation:

72 divided by 2 is 36 so that means you will make 36 donuts in 1 hour so now we have our unit rate which is 36. so then you multiply 36 by 8 and you get 288. that is your answer

Answer:

Step-by-step explanation:

1 no is commutative property.

2 no is associative property

3 no is multiplicative inverse property.

Sn = a(1-r^n)/(1-r)

Sn= 2(1-1/4096)/0.75= 2.67

Answer:

Arc length = 6.28 units

Step-by-step explanation:

[tex]Arc \ length = 2 \pi r \frac{ \theta}{360} = 2 \times \pi \times 9 \times \frac{40}{360} = 2\pi = 6.28[/tex]

Answer:

$1000

Step-by-step explanation:

$200 was saved on a new laptop

This was 20% of the original price of the laptop

Therefote the original cost of the laptop can be calculated as follows

= 20/100x = 200

= 0.2x= 200

Divide both sides by the coefficient of x which is 0.2

x= 200/0.2

= 1000

Hence the original cost of the laptop is $1000

9514 1404 393

Answer:

  Q = ±2√R

Step-by-step explanation:

Take the square root:

  ±√R = 1/2Q

Multiply by 2:

  Q = ±2√R

Answer:

h = 12 ft

Step-by-step explanation:

Area of a rectangle formula:

A = bh

Given:

A = 24b

b = 2b

Work:

A = bh

24b = 2b(h)

h = (24b)/(2b)

h = 12

Answer:

-1, 5

Step-by-step explanation:

no really explanation, but its a graph and when u have agraph x goes before y. and the x in the middle of it is what its talking about and u can see the middle is on a 5 and a -1

Answer:

sr for messy handwriting

Answer:

D: 7

Step-by-step explanation:

1.75 (7) + 4.50

12.25 + 4.50

= 16.75

16.75 < 20

Answer:

4W+8+4W+4=180

8W+12. =180

. 8W=180-12

8W=168

W=21

BPC =4W+4

DE=360-(4W+4+4W+8+4W+4+2W+11)

=360-(14W+27)

=360-(14×21)-27

=360-321

= 39

Answer:

hgvjkhy88ubuybyi

Step-by-step explanation:

hjuoihgvgbhko

Answer:

t=9/10 Hope that helped

Answer:

The midpoint: (8,9.5)

Step-by-step explanation:

((9+7)/2,(11+8)/2))

Answer:

The 99% confidence interval for the mean number of ounces dispensed by this machine is (7.44, 7.56).

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

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

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

[tex]M = 2.575\frac{0.25}{\sqrt{100}} = 0.06[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.5 - 0.06 = 7.44 ounces.

The upper end of the interval is the sample mean added to M. So it is 7.5 + 0.06 = 7.56 ounces.

The 99% confidence interval for the mean number of ounces dispensed by this machine is (7.44, 7.56).

Answer:

$3.48 for each pair of socks.

Step-by-step explanation:

It's a little confusing, because it says they're buying 2 socks, but then asks for the price of each of 2 *pairs* of socks. I'm going to believe the first sentence should say they paid for 2 pairs of socks.

They have $10, and get $3.04 in change. So we'll subtract $3.04 from $10 to find out the cost of 2 pairs of socks.

10 - 3.04 = 6.96

Then divide $6.96 by 2 pairs of socks

6.96/2 = $3.48 for each pair of socks.