Determine if the following triangles are congruent

The situation can be modeled by a geometric sequence with an initial term of 284. The student population will be 104% of the prior year, so the common ratio is 1.04.

Let \displaystyle PP be the student population and \displaystyle nn be the number of years after 2013. Using the explicit formula for a geometric sequence we get

{P}_{n} =284\cdot {1.04}^{n}P

n

=284⋅1.04

n

We can find the number of years since 2013 by subtracting.

\displaystyle 2020 - 2013=72020−2013=7

We are looking for the population after 7 years. We can substitute 7 for \displaystyle nn to estimate the population in 2020.

\displaystyle {P}_{7}=284\cdot {1.04}^{7}\approx 374P

7

=284⋅1.04

7

≈374

The student population will be about 374 in 2020.

Answer:

[tex] 9 \frac{1}{3} [/tex]

Step-by-step explanation:

Let when x divided by 7 will produce [tex] 1\frac{1}{3} [/tex]

[tex]x \div 7 = 1 \frac{1}{3} \\ \\ x \times \frac{1}{7} = \frac{4}{3} \\ \\ x = \frac{7 \times 4}{3} \\ \\ x = \frac{28}{3} \\ \\ x = 9 \frac{1}{3} [/tex]

Answer:

There are 12 sections on the spinner, and out of the 12 sections, 5 of them are red.

If he spins the spinner 48 times, he should expect 5x4, or 20 of the spins to land on red.

Let me know if this helps!

Answer:

-2/11

Step-by-step explanation:

Answer:

28 learners

Step-by-step explanation:

Boys : Girls

3 : 4

Since there are 12 boys and 3 units of them...

3 units = 12

1 unit = 12 ÷ 3 = 4

Girls =

4 units = 4 x 4 = 16

Total number of girls and boys: 12 + 16 = 28

Answer:

Rate = 10%

Step-by-step explanation:

Given:

Amount deposit = 25,000

Amount get = 26,250

Time = 6 month = 6 / 12 = 0.5 year

Find:

Rate

Computation:

Interest = Amount get - Amount deposit

Interest = 26,250 - 25,000

Interest = 1,250

Interest = P x R% x T

1,250 = 25,000 x R% x 0.5

Rate = 10%

Answer:

the answer is zero

56 + (-56)

Answer: the answer is 0, 130, -9.9 hope this helps. Can u pls give me brainliest

Step-by-step explanation:

Answer:

y= 2x + 3/2

Step-by-step explanation:

First, place a point on (1,3).

Since slope is rise/run, move your pencil up 2 units and to the right one. Place a point there. Repeat until you reach your desired length.

Answer: The eccentricity of the conic section shown in the given picture = 0

Step-by-step explanation:

The eccentricity of a conic is measure to determine how un-circle a conic section.

In the given picture, we have a circle.

A circle has an eccentricity of zero.

Therefore, the eccentricity of the conic section shown in the given picture = 0

Answer:

Step-by-step explanation:

b line segment

Answer:

Volume = 27 cubic units

Step-by-step explanation:

First, the formula of volume is l x h x w.

Second, the l, h, and w, are all 3, so to get your answer you do 3 x 3 x 3 which equals 27.

Hope this helps!

Answer:

3/4

Step-by-step explanation:

If 2 out of 8 of the kittens are white, than 6 aren't white. That fraction would be 6/8 but when you simplify you get 3/4.

The answer is 3/4 of the kittens are not white.

This a simplifed version of 6/8 which is the complement of 2/8, the amount of white kittens.

Hope this helps, if not, comment below please!!!

:L

Answer:

9) 56.5

10) 43.98, so rounds to 44.0

11) 71.6

12) 23.9

13) 69.1

14) 50.3

Step-by-step explanation:

Circumference is 2[tex]\pi[/tex]r.

9) 56.5

10) 43.98, so rounds to 44.0

11) 71.6

12) 23.9

13) 69.1

14) 50.3

Answer:

x=-5

Step-by-step explanation:

3x+6=-9

   -6    -6

3x=-15

x=-5

Answer:

=  − 5

Step-by-step explanation:

The steps are in the (2) pictures below. Hope this helps!

Answer:

18/25, 17/20, -10

Step-by-step explanation:

Answer:

42m+10n+27

Step-by-step explanation:

Adding like terms

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

Step-by-step explanation:

12 grams

Answer:

2976 in³

Step-by-step explanation:

Stool volume = upper smaller prism + Lower bigger prism

Stool volume = 8 x 6 x 12 + 20 x 12 x 10 = 576 + 2400 = 2976

check: volume = 20 x 12 x 16 - 12 x 12 x 6 = 2976

If your struggling with this is how you do it a quotient is the answer to a division problem. The divisor is the number of parts you divide the dividend by. The dividend is the number you are dividing.

Example: 12 ÷ 3 = 4, 4 is the quotient

Hope it helps!!!

Answer:

Step-by-step explanation:

I am in 6 grade I have tried to answer this but could not, I hop u find someone that will answer this for you.

Answer:

14x+2

Step-by-step explanation:

3x+11x = 14x then +2 is left over so it's 14x+2

Answer:

Female

Step-by-step explanation:

...look at those numbers dude

Answer:

Equation: 49 = 3x + 7

Answer: x = 14

Step-by-step explanation:

Let Kendra's daughter's age be denoted by the variable, x.

Set the equation. Note that:

Kendra is 49 years old.

Kendra is 3 times her daughter's age (x) plus 7 years.

Equation: 49 = 3x + 7

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 7 from both sides of the equation:

49 (-7) = 3x + 7 (-7)

49 - 7 = 3x

42 = 3x

Next, divide 3 from both sides of the equation:

(42)/3 = (3x)/3

x = 42/3

x = 14

14 is your answer.

~

Answer:

A

Step-by-step explanation:

a translation 16 units to the left will replace x with x+16, and a translation 6 units down will replace g(x) with g(x)-6, so it's A.

Answer: .2379

Step-by-step explanation:

Answer: 0.2379

Step-by-step explanation:

0.9115 - 0.6736 = 0.2379

( 3 + √ 7 ) ( 3 − √ 7 ) = 2 Explanation: You can simplify this expression by using the formula for the difference of squares a 2 − b 2 = ( a − b ) ( a + b ) In your case, you ca say that a = 3 and b = √ 7 . This means that you have ( 3 + √ 7 ) ( 3 − √ 7 ) = 3 2 − ( √ 7 ) 2 = 9 − 7 = 2 Alternatively, if you don't know the formula for the difference of squares, you can rewrite this expression by expanding the parantheses ( 3 + √ 7 ) ( 3 − √ 7 ) = 3 ⋅ 3 − 3 ⋅ √ 7 + 3 ⋅ √ 7 − √ 7 ⋅ √ 7 Once again, the result will be 3 ⋅ 3 − √ 7 ⋅ √ 7 = 3 2 − 7 = 2

Answer:

0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.

Step-by-step explanation:

What is the probability that an attendee sits in on the information technology session or the social media session?

They cant be in both sections simultaneously, so this probability is the sum of each probability.

0.11 = 11% probability that an attendee sits in on the information technology session

0.62 = 62% probability that an attendee sits in on the social media session

0.11 + 0.62 = 0.73

0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.

Answer:

ŷ = 0.52X + 3.99 ;

0.26 ;

0.5123

Step-by-step explanation:

4th of July :

8.0

6.0

12.0

10.5

8.5

12.5

9.0

5.5

12.0

7.5

9.0

10.6

10.0

7.5

10.0

Fall festival :

6.8

6.4

11.6

10.2

6.0

11.1

7.5

8.4

9.5

10.4

6.6

10.1

6.1

9.0

12.6

Using technology, the regression equation which predicts fall festival attendance with amount spent on 4th of July fireworks is ;

ŷ = 0.52X + 3.99

Coefficient of determination ; R² is 0.26

This means that about 26% of variation in the fall festival attendance is explained by the regression line.

The regression Coefficient, R = sqrt(R²) = sqrt(0.2625) = 0.5123

This depicts that a faiy strong positive correlation exists between the amount spent on 4th July fireworks and the fall festival attendance.