Find the coordinates of P so that P partitions segment AB in the part-to-whole ratio of 1 to 5 with A(-9, 3) and B(1, 8). Show all steps.

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Volume is a three-dimensional scalar quantity. The amount of water that this tank will hold till it is a quarter full is 576.576 ft³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The total volume of the right rectangular prism will be,

Total Volume = 17.6ft × 12.6ft × 10.4ft

                       = 2306.304 ft³

Since the total volume of the right rectangular prism is 2306.304 ft³, the water it will hold will be equal to its volume.

Now, the amount of water that this tank will hold till it is a quarter full is,

Amount of water = Total volume /4

                            = 2306.304ft³ / 4

                            = 576.576ft³

Hence, the amount of water that this tank will hold till it is a quarter full is 576.576 ft³.

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Answer:

1800 meter cube

Step-by-step explanation:

you know volume = W× h× b = meter cube

10 m × 12m× 15m = 1800 meter cube

Answer:

  410.1 m

Step-by-step explanation:

In a right triangle, the ratio of the side opposite an acute angle to the side adjacent to that acute angle is the tangent of the angle.

  Tan = Opposite/Adjacent

__

  tan(C) = BA/BC

  tan(34°) = BA/(608 m) . . . . . . using the tangent relation with given values

Multiplying both sides of the equation by (608 m) gives ...

  (608 m)tan(34°) = BA

  BA ≈ 410.101 m ≈ 410.1 m . . . . . rounded to tenths

_____

Additional comment

Other relations in the right triangle are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

These relations are collected in the mnemonic SOH CAH TOA.

Answer:

Part A:

In order to find a coterminal angle, or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible.

Part B:Simply put, coterminal angles start at 0° and end at the same place, though in different directions and multiple times around (you're probably going to want to make that sound a little more formal). Since each time around is 360°, boom

Part C: 75° is in Quadrant II, right? If I go one more time around, 75 + 360 = 435°. I can also go "backward. Starting at 0 and going clockwise, I'm going 75 fewer degrees than all the way around, so 360-75 = 285° but since I'm going "backward" 75 - 360 = -285°. One more is on you.

Step-by-step explanation:

Answer:

r = 21

Step-by-step explanation:

nth of sequence P :

[tex]T_{n} = 4n -2[/tex]

[tex]r^{th} term[/tex] : [tex]4r-2=145-3r\\4r+3r=145+2\\7r=147\\r=21[/tex]

Answer:

25.5

Step-by-step explanation:

I did the same assignment

Answer:
1) C
2) D
3) 26
4) A
5) 68
6) Triangle MNL

Explanation:
1) C does not equal to 180. If you add up all the numbers it adds up to 169. Any triangle; interior adds up to 180.
2) When you minus 180 - 29.1 - 80 ; it equals to 70.9.
3) 180 - 32 - 122 = 26. You could also add 32 + 122; getting 154. Then 180 - 154.
4) We see a square box, meaning it's a right triangle. 180 - 90 - 42.7 = 47.3.
5) You can draw a picture to help you and see it visualize it. But it's the same process : 180 - 97 - 15 = 68
6) The whole triangle was 180. Equaling the whole as 108 was wrong.

- Hope this helps!

Answer: 1.601 × 10^-1

Step-by-step explanation: 1 minute = 60 seconds or 1 second = 1/60 minutes

9.63 seconds = 9.63/60 minutes

9.63/60 = 963/6x1000 = 321/2x1000

=160.1/1000=1.601/10 = 1.601 x 10^-1 minutes :)

Answer:

1. < 3
2. < 8
3. < 5
4. < 4
5. < 6
6. < 7
7. < 2
8. < 1
9. < 8

< = Angle

Logarithmic are inverse of exponential functions. The point where graph of f and g intersect is (0, ∞)

Logarithmic are inverse of exponential functions. Given the following functions;

g(x)=log2x and g(x)=log10x

The point where the graphs intersect is the point where g(x) = g(x)

Equate

log2x = log10x

2x = 10x

The value of x that made them equal is 0

Determine the value of g(x)

g(0) = log2(0)

g(0) = ∞

Hence the point where graph of f and g intersect is (0, ∞)

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Answer:

Father=36 years old

Step-by-step explanation:

5 people 4 children and a father

average age=12

add the ages

3+5+6+10=24

24+12=36

check the work

36 +24=60

60/5=12

answer=36

Answer:

36 years old

Step-by-step explanation:

The average age of father and four children can be expressed in mathematics as:

[tex]\displaystyle \large{\dfrac{f+c_1+c_2+c_3+c_4}{5}}[/tex]

The above expression is what you call average value or mostly known as mean - the mean value is sum of all data values divided by number of data values. The formula reference for mean/average value is:

[tex]\displaystyle \large{\dfrac{x_1+x_2+x_3+...+x_n}{n} = \dfrac{1}{n} \sum_{i=1}^n x_i}[/tex]

Determine or let the following be:

It is also given in the question that children’s ages are 3, 5, 6 and 10. Hence:

[tex]\displaystyle \large{\dfrac{f+3+5+6+10}{5} = 12}[/tex]

From above, it is also given that average of father’s age and children’s age is 12 years old - that now gives us an equation. What we have to do now is to solve for f.

First, multiply 5 both sides to get rid of denominator.

[tex]\displaystyle \large{\dfrac{f+3+5+6+10}{5} \cdot 5 = 12 \cdot 5}\\\\\displaystyle \large{f+3+5+6+10=60}[/tex]

Evaluate 3+5+6+10 which equals 24.

[tex]\displaystyle \large{f+24=60}[/tex]

Next, subtract both sides by 24 to isolate f-term.

[tex]\displaystyle \large{f+24-24=60-24}\\\\\displaystyle \large{f=36}[/tex]

Finally, we have received the value of term which is f = 36. We know that the term represents father’s age and therefore, father’s age is 36 years old!

If you have any doubts, please let me know in the comment!

Answer:

1.08 inches

Step-by-step explanation:

13 / 12 , to keep aspect ratio the same

Answer:

x < 5.

Step-by-step explanation:

Creo que esto es correcto. :')

Amir should buy the computer in Paris

Amir would pay the most sales tax in Maryland.

Amir would pay $60 in sales tax in Washington DC

The complete question is

Amir lives in Washington, DC. He wants to buy a new computer for college, and it will cost him $1,000. In Washington, DC, the sales tax rate is 6 percent. In a nearby town in paris the sales tax rate is 5 percent. A few miles away in Maryland, the sales tax rate is 9 percent. To spend the least amount total, Amir should buy the computer in . Amir would pay the most sales tax in . Amir would pay $60 in sales tax in

A sales tax is a tax paid to a governing body for the sales of certain goods and services.

In Washington, DC, the sales tax rate is 6 percent.

Paris, the sales tax rate is 5 percent.

Maryland, the sales tax rate is 9 percent.

1. To buy the computer he should prefer Paris

2. To pay the most sales tax he should prefer Maryland.

3. To  pay $60 in sales tax in he should prefer Washington DC.

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Answer:

virginia, maryland, washington

Step-by-step explanation:

edge

Answer:

500(10) + 600(2)

Step-by-step explanation:

Answer:

500(10) + 600(2)

Step-by-step explanatio:

500*10+600*2

 5,000+1,200

        6,200

Answer:

  A, C, F

Step-by-step explanation:

The first figure is drawn using 8 squares. The next uses 11 squares, and the one shown in Step 3 uses 14 squares. The numbers of blocks follow the sequence ...

  8, 11, 14

which begins with 8 and increases by 3 from one step to the next. This constant increase from one term to the next makes it an arithmetic sequence.

__

The general term, an, of an arithmetic sequence can be written in terms of its first term, a1, and its common difference, d, as ...

  an = a1 +d(n -1)

When the first term is a1=8, and the common difference is d=3, this becomes ...

  an = 8 +3(n -1)

which simplifies to

  an = 8 +3n -3 = 3n +5

Written in functional form, these explicit equations are ...

  f(n) = 8 +3(n -1) . . . . . matches choice A

  f(n) = 3n +5 . . . . . . . . matches choice F

__

The recursive form of the definition of a sequence starts with the first term, then tells you how to obtain the next term from that. Here, the first term is ...

  f(1) = a1 = 8

and each term is 3 more than the last:

  f(n) = 3 +f(n-1) . . . . . . . . . 3 is added to the previous term

Together, this is ...

  f(n) = 8, f(n) = 3 +f(n -1) . . . . . matches choice C

A 3D shape's net is what it looks like after it's flattened out. A net can be folded into a three-dimensional shape. The correct option is C.

A 3D shape's net is what it looks like after it's flattened out. A net can be folded into a three-dimensional shape. For the same 3D shape, there may be multiple potential networks. You can make a net out of paper and fold it into the desired shape.

The net of the square pyramid has a square and 4 triangles. For a pyramid with a base as a polygon having n sides, the number of triangles is n.

Hence, it can be concluded that a pyramid can contain any number of triangles greater than or equal to 3. Thus, the correct option is C.

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The number of sections on the spinner so that each person has heir own shape and number is 5

The given parameters are:

People, n = 30

Die = 6 sided

Let the sections on the spinner be s.

The equation to calculate s is represented as:

People = Die * s

This gives

30 = 6 * s

Divide both sides by 6

s = 5

Hence, the number of sections on the spinner so that each person has heir own shape and number is 5

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x=13 and don't forget to mark me brainlist!

Answer:

Hi,

Step-by-step explanation:

[tex]\begin{array}{|c|c|c|c|}x&3x^2+5&\Delta_1x&\Delta_2x\\--&--&--&--\\0&5&-&-\\1&8&3&-\\2&17&9&6\\3&32&15&6\\4&53&21&6\\--&--&--&--\\\end{array}[/tex]

Answer: Hope this helps you!

x = 4

Step-by-step explanation:

4+(x-3) = 2x-3

remove parentheses (equals to 4+1(x-3) = 2x-3 which is equal to the same equation without parentheses)

4+x-3 = 2x-3

Simply

1+x = 2x-3

subtract x from both sides

1 = 1x -3

add 3 to both sides

4 = 1x

divide by 1

4 = x

Brainliest?

Answer:

Below

Step-by-step explanation:

100 * 170/200

= 170/2

= 85%.

Answer:

A and B

Step-by-step explanation:

Hello!

Parallel lines are lines with the same slope but different y-intercept.

y = mx + b

A:

y = 2x + 3 has a slope of 2 and a y-intercept of 3.

B:

y = 2x - 5 has a slope of 2 and a y-intercept of -5

C:

y = -2x + 3 has a slope of -2 and a y-intercept of 3

Since A and B have the same slope but a different y-intercept, they are parallel lines.

Answer:

18%

Step-by-step explanation:

178 200 / 990 000    x 100% = 18%

Answer:

1.  25%

2 and 3:  See below.

Step-by-step explanation:

1.  There are 4 letters in the box, all different.  The odds of randomly picking 1 letter is 1/4, or 25%  That is true for any of the letters.

Questions 2 and 3 technically cannot be answered.  In both cases, the selection process involves more than random chance.  The selection of a nurse depends on qualifications such as training and experience.  Winning the math quiz depends on knowledge and practice.  Neither question is a random selection.

If the questions were random, the answers would be:

2.  1/5 or 20% that Eunice gets picked, and

2.  6/10 or 60% that a girl wins

Using the normal distribution, it is found that there is a 0.0582 = 5.82% probability that their mean repair time is less than 8.9 hours.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the parameters are given as follows:

[tex]\mu = 8.4, \sigma = 1.8, n = 32, s = \frac{1.8}{\sqrt{32}} = 0.3182[/tex]

The probability that their mean repair time is less than 8.9 hours is the p-value of Z when X = 8.9, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{8.9 - 8.4}{0.3182}[/tex]

Z = 1.57

Z = 1.57 has a p-value of 0.9418.

1 - 0.9418 = 0.0582.

0.0582 = 5.82% probability that their mean repair time is less than 8.9 hours.

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Answer:

[tex]a= -\dfrac 23\\\\ b = -8\\\\ c = -47[/tex]

Step-by-step explanation:

[tex]b(x) = -\dfrac 23(x+6)^2 -23\\\\\\~~~~~~=-\dfrac 23(x^2 +2\cdot 6 \cdot x +6^2) -23\\\\\\~~~~~~=-\dfrac 23(x^2 +12x +36) -23\\\\\\~~~~~~=-\dfrac 23 x^2 - \dfrac{24}3 x - \dfrac{72}{3}-23\\\\\\~~~~~~=-\dfrac 23 x^2 -8x-24-23\\\\\\~~~~~~=-\dfrac 23x^2 -8x -47\\\\\text{By comparing}~ -\dfrac 23x^2 -8x -47~\text{with the standard form, }~ ax^2 +bx +c,\\\\a= -\dfrac 23,~ b = -8~ \text{and}~ c = -47[/tex]