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9514 1404 393

Answer:

  x = 14

Step-by-step explanation:

The sum of angles in a triangle is 180°:

  ∠O +∠P +∠Q = 180°

  (2x -5)° +(3x -8)° +(10x -17)° = 180°

  15x -30 = 180 . . . . . divide by °, collect terms

  x -2 = 12 . . . . . . . . . divide by 15

  x = 14 . . . . . . . . . . . .add 2

Answer:

1 hour = 1.7 miles / 1.5 hours = ? Miles

1.7 × 0.5 = 0.85 + 1.7 = 2.55 Miles

Step-by-step explanation:

1.7 × 0.5 = 0.85 + 1.7 = 2.55 Miles

Answer:

1. w=-24

2. g=3

Step-by-step explanation:

Answer:

6x⁴ + 20x³ - 30x² + 4

Step-by-step explanation:

Collect the like terms

6x⁴ + 18x³ + 2x³ - 36x² + 6x² + 12x - 12x + 4

SImplify expression

6x⁴ + 20x³ - 30x² + 4

Answer:

6x⁴- 18x³-4

i think

Step-by-step explanation:

Answer:

19%

Step-by-step explanation:

An exponential relationship is modeled by y = 31(0.81)^x , what is the percent rate of change for this function?

From the above exponential relationship given, we can see that this exponential relationship is an exponential decrease.

Where the formula:

y = a(1 - r)^t

Where a = Initial amount

r = rate of change in percent

t = time in years

y = a(1 - r)^x = y = 31(0.81)^x

1 - r = 0.81

r = 1 - 0.81

r = 0.19

Converting 0.19 × 100

= 19%

Answer:

Step-by-step explanation:

Answer:

y(2x+3y-6)

Step-by-step explanation:

2xy+ [tex]3y^{2}[/tex]-6y

Find the H.C.F

2xy= 2×x×y

3y²= 3×y×y

6y= 6×y

H.C.F= y

2xy÷y+ 3y²÷y- 6y÷y

= 2x+ 3y- 6

= y( 2x+ 3y-6)

Answer:

4.87 to the fourth power

Step-by-step explanation:

0.000487 in Scientific Notation:

4.87  * 10^-4

Answer:My suggestion is practice what you learned after each class for like 10-20 min and pay close attention in class. Wish you the best of luck.

Step-by-step explanation:

Answer: I believe it’s D

Step-by-step explanation:

Answer:

A

Sorry I just have to right more to turn it in but good luck with your math work.

Answer:

fghjgfvgh

yguhyu

Step-by-step explanation:

Answer:

frank traveled 2760-1400 = 1360 miles

traveled 16 hours

This means he drove: 1360 miles / 16 hours = 85 miles per hour.

Answer:

B. y = -6

Step-by-step explanation:

As you can see the graph I done is perpendicular

Answer:

B

Step-by-step explanation:

A line perpendicular to the y- axis is a horizontal line parallel to the x- axis, with equation

y = c ( where c is the value of the y- coordinates the line passes through )

The only equation in this form is

y = - 6 → B

Answer:

40%

Step-by-step explanation:

Answer:

y=mx+b :)

Step-by-step explanation:

Answer:

D. 43x + 72 ≤ 1,128

Step-by-step explanation:

She  has $1,128

Total price $72

43x since its unit rate for each

43x + 72 is less than or equal to $1,128

Answer:

D. 43x + 72 ≤ 1,128

Step-by-step explanation:

Good luck! Hope this helped :)

Answer:

Answer:

2ft

Step-by-step explanation:

Answer:

2 ft

Step-by-step explanation:

The triangle has a dilation of 1/3 and we can assume that the triangles are congruent

So we take 6 and divide it by 3 and get 2

The answer is 2 ft

Answer:

The worth of boat in 2013 will be $9202.6

Step-by-step explanation:

Rate of depreciation = 9% = 0.09

Cost of Boat in 2006 =$ 17,800

Cost of Boat in 2013 = ?

Years = 2013-2006= 7 years

The formula used is: [tex]\mathbf{A=P(1+r)^{t}}[/tex]

Since the value of boat is depreciating the value of r will be r=-0.09

Here P = 17,800 , r=-0.09 and t = 7 years Finding A

[tex]A=P(1+r)^{t}\\A=17,800(1+(-0.09))^7\\A=17,800(0.91)^7\\A=17,800(0.517)\\A=9202.6[/tex]

So, the worth of boat in 2013 will be $9202.6

Answer:

The function will be: f(n) = 2n

Step-by-step explanation:

An arithmetic sequence is a sequence where the common difference between consecutive terms is same

The sequence according to given information is:

2,4,6...

Here

a_1 = 2

a_2 = 4

a_3 = 6

the common difference will be:

[tex]d = a_2-a_1 = 4-2 = 2\\d = a_3-a_2 = 6-4 = 2[/tex]

The arithmetic sequence is given by:

[tex]a_n = a_1+(n-1)d[/tex]

Putting the values

[tex]a_n = 2+(n-1)(2)\\a_n = 2+2n-2\\a_n = 2n[/tex]

Hence,

The function will be: f(n) = 2n

Answer:

give brain list first

Step-by-step explanation:

Answer:

Answer: 35 minutes

Step-by-step explanation:

Step-by-step explanation:

For us to solve the question, we have to calculate the amount of gallons of water that is drained every minute. This will be:

= (1320 - 1040) / (9 - 2)

= 280/7

= 40 gallons per minute

Since we are told that 1,320 gallons of water remain in the pool after 2 minutes. This means that the total water in the pool at the beginning was:

= 1320 gallons + (40 × 2)

= 1320 gallons + 80 gallons

= 1400 gallons

The time taken for the pool to be completely drained will be:

= Total water in pool / Gallons drained per minute

= 1400 / 40

= 35 minutes

Answer:

35 minutes

Step-by-step explanation:

There are 40 gallons drained per minute.

Answer:

a) $4000

b) $2000

Step-by-step explanation:

a)

interest = Principal x rate as decimal x time

interest = 20,000 x 0.05 x 4

interest = 4000

b)

interest = Principal x rate as decimal x time

interest = 20,000 x 0.05 x 2

interest = 2000

you save $2000 if you pay after 2 years

Answer:2,500

Step-by-step explanation:

Answer:

Isn't it simpler just to take the square root of 1,521?

It's 39

Step-by-step explanation:

Answer:

The mean would get bigger becuase you are adding in a bigger number there for the mean would increase.The standard deviation would change as well because then again you are adding a bigger number and standard diviation is basically the difference between the gratest and least.  For #2 no the median wouldn't chnage becuase the 70 is going in place for the 7 so it would just fill it's spot and wouldn't effect the data set.

Step-by-step explanation:

The median would be a better choice for the measure of center becuase the mean is telling you the average and the median is actully telling you where the middle of the data set is.

The mean is the average of a group of data. The data set  added up and divided by the number of data. The mean is sensitive to extreme data.

When 7 is changes to a 70 then mean and standard deviation both changes.

For the given data set median be a better choice for the measure of center than the mean because mean is sensitive to extreme data and median is the point at which half the data are above and half the data are below.

The median is the point at which half the data are above and half the data are below. Medians are less sensitive to extreme scores . Therefore, median is center point of data set.

Standard deviation shows how much variation there is from the mean. A low SD indicates that the data points tend to be close to the mean, whereas a high SD indicates that the data are spread out over a large range of values.

Learn more:

https://brainly.com/question/14532771

Answer:

7x - 2y - 4 = 0

Step-by-step explanation:

from the perpendicular equation formula,

y/a + x/b = 1

x1 = 4

y1 = 12

a = -2

b= ?

Inserting the values into the above formula,

12/-2 + 4/b = 1

-6 + 4/b = 1

4/b = 7

b = 4/7

putting a and b into the original formula,

y/-2 + x/(4/7) = 1

-y/2 + 7x/4 = 1 (×4)

-2y + 7x = 4

7x - 2y - 4 = 0

Therefore, the equation of the line is;

7x - 2y - 4 = 0

Answer:

a. x=100 b. x=30

Step-by-step explanation:

A: <1 and <2 are supplementary by consecutive interior angles theorem

x + x-20 = 180

2x-20=180

2x=200

x=100

B: <1 and <2 are congrunt by corresponding angles postulate

3x-5=x+55

2x=60

x=30

Answer:

31

Step-by-step explanation:

10-3= 7 so 3+7=10 and 10+7=17 and you just do this to find the answer