Find the missing angle according to the Triangle Exterior Angle Theorem

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:

14x+2

Step-by-step explanation:

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

-2/11

Step-by-step explanation:

Answer:

Female

Step-by-step explanation:

...look at those numbers dude

Answer:

B(3,-7)

Step-by-step explanation:

Basically, you just have to transform the signs to it's opposite and just keep the points.

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 mean number of lessons for group A is greater than the mean for group B by 1 MAD

Step-by-step explanation:

Given the table :

_______Mean number of lessons ____ MAD

GRP A _____ 5 ___________________ 2

GRP B _____ 3 ___________________ 2

With group A having a mean number of lessons of 5 and Group B having a mean number of lessons of 3

Mean of A > mean of B ; hence, Group A dlgs tool more lessons to learn the trick than group B dogs.

The mean absolute deviation (MAD), measures how far a value is from the mean

Difference in mean number of lessons :

5 - 3 = 2

2 lessons ;

Number of mean absolute deviations:

Difference / MAD value = 2 / 2 = 1

Answer:

The mean number of lessons for group A is greater than the mean for group B by 1 MAD.

Step-by-step explanation:

Test approved

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:

[tex]2\sqrt{42} + 7\sqrt{2} -6- \sqrt{21}[/tex]

Step-by-step explanation:

[tex](\sqrt{14} - \sqrt{3})(\sqrt{12} + \sqrt{7})[/tex]

root 12 can be changed to 2 root 3

then multiply

then simply

and you should get ur answer

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

Answer:

m<A is 33

Step-by-step explanation:

126+21+x=180

147+x=180

180-147=x

x=33

Function b? Honestly, I need these points.

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:

algebraic expression: 3x + 2b

coefficients: 3 and 2

variables: w and b

# of terms: 2

constant: 0

algebraic expression: 6xy - 2c + 4

coefficients: 6 and -2

variables: x, y, and c

# of terms: 3

constant: 4

algebraic expression: 2/3 y - 3p

coefficients: 2/3 and -3

variables: y and p

# of terms: 2

constant: 0

Answer:

Problem 1:

Coefficients are : 3 & 2

Variables are: w & b

Number of terms: 2

Constant: none

Problem 2:

Coefficients are : 6 & -2

Variables are: xy & c

Number of terms: 3

Constant: 4

Problem 3:

Coefficients are : [tex]\frac{2}{3}[/tex] & -3

Variables are: y & p

Number of terms: 2

Constant: none

Step-by-step explanation:

Okay, lets break this down.

An Algebraic expression is not meant to be solved, but rather used to determine the various components inside of it to better understand how to solve equations later on. Although for now lets look at these problems. :

A Coefficient in terms of algebra, is the number before a variable. In other terms, a coeffiecient is the number before the letter such as 3w. Looking at 3w we see that there are two parts: 3, and w.

The number 3 is the coefficient while the variable is the letter w. Variables are always the letters.

Variable: A letter used to determine an unknown value such as x

Now a term is a single mathematical expression. It may be a single number (positive or negative), or a single variable ( a letter). (Can also be a coeffient with a variable multiplied or divided by one another as such :

[tex]3w = 3*w\\\frac{3}{w} = 3 / w[/tex]

 Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.

Now with that said, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.

With all of that said, lets look at the problems given:

Problem 1:

Coefficients are : 3 & 2

Variables are: w & b

Number of terms: 2

Constant: none

Problem 2:

Coefficients are : 6 & -2

Variables are: xy & c

Number of terms: 3

Constant: 4

Problem 3:

Coefficients are : [tex]\frac{2}{3}[/tex] & -3

Variables are: y & p

Number of terms: 2

Constant: none

I would be happy to help you again in the future, and hope that this provide you with some clarification. Have a nice day!

,.Answer:

Step-by-step explanation:

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.

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:

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:

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: .2379

Step-by-step explanation:

Answer: 0.2379

Step-by-step explanation:

0.9115 - 0.6736 = 0.2379

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 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:

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:

Step-by-step explanation:

b line segment

Answer:

$2,025

Step-by-step explanation:

The monthly payment will be increased by $‭2,025‬.

The quantity of money anyone has is termed as the amount. Your monthly payment based on the rate of 6.3% per annum is:

= (6.3% * 1,620,000 ) / 12 months

= 102,060‬ / 12

= $‭8,505‬

Now that the rate has gone up to 7.8% per annum, the payment is:

=  (7.8% * 1,620,000 ) / 12 months

= ‭126,360‬ / 12

= $‭10,530‬

Payment went up by:

= ‭10,530‬ - 8,505

= $‭2,025‬

Therefore the monthly payment will be increased by $‭2,025‬.

To know more about the amount follow

https://brainly.com/question/25109150

#SPJ2

Answer:

4.4 pounds in each bag

Step-by-step explanation:

divide 22 by 5 and that is how many pounds are in each bag