In Springfield, a specific town in the US, 6 women and 25 men earned bachelor degrees in 2000. In 2010, however, 391 women and 410 men in that town earned bachelor degrees. Assume that the rate of change was constant between 2000 and 2010.
a. Without using regression, write a system of equations that model the number of bachelor degrees earned by men and women in Springfield as a function of x, the number of years since 2000. Show your work.
Equation for Springfield’s men:
Equation for Springfield’s women:

9514 1404 393

Answer:

  (c)  18.55

Step-by-step explanation:

The law of sines tells you ...

  y/sin(106°) = 15/sin(51°)

  y = 15×sin(106°)/sin(51°)

  y ≈ 18.55

_____

The same kind of proportion can find x:

  x = 15×sin(23°)/sin(51°)

  x ≈ 7.54

Please note that the question posted here asks for the value of y. The value of x and the complete triangle solution are provided as a courtesy to those who may be asked for other values in this triangle.

Answer:

x=8

Angle DBC=32

Step-by-step explanation:

-DBC= ABC-ABD= 55-23=32

-4x=DBC=32

x=32/4=8

Answer:

● equivalent

Step-by-step explanation:

○ equivalent

Answer:

the base is the answer 4

[tex] {42}^{2} [/tex]

Step-by-step explanation:

42 is the base

Answer:

120.

Step-by-step explanation:

The Least common multiple of 30 and 40 is 120.

Answer:

The lowest common multiple of 30 and 40 is 120

Answer:

More than for the first box and less than for the second.

Answer:

i think its 17

please rate and leave a like :-)

Answer:

1.    74.6° = m∠C       65.4° = m∠A      a = 2.83

2.   Triangle does not exist

Step-by-step explanation:

1.   Use the law of sines to find m∠C

sin 40/2 = sin C/3

3sin 40/2 = sin C = .96418...

arcsin .96418... = 74.6° = m∠C

m∠A = 180 - 40 - 74.6 = 65.4°

a/sin 65.4 = 2/sin 40

a = 2 sin 65.4/sin 40 = 2.83

2.   sin 95/4 = sin C/5

5sin 95/4 = sin C =  1.2452...  which is impossible since the cosine of an angle is ≤ 1

Answer:

33°

Step-by-step explanation:

you add the two numbers together and subtract from 180° to get your answer

Answer:

1526.5

Step-by-step explanation:

To find the mean...

Add all of the numbers and then divide by how many numbers there are.

1600+1800+1205+1360+1205+1135+1895+1400+1955+1710 = 15265

15265/10 = 1526.5

Answer:

1467 divided by 58 equals

25 with a remainder of 17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer:

17.25

Step-by-step explanation:

Answer:

x= 65

Step-by-step explanation:

x= 360- (130+75+90)

x= 360- 295

x= 65 degrees

Answer:

9+7+4+5= 25

Step-by-step explanation:

add up everything then get ur answer

Answer:

The formula for circumference of a circle is

2pi,R.

In which R= radius. Then we Insert 18 in for the circumstances.

so, 18=2πr

then solving for r

18=2

÷. ÷

2. 2

R = 9,,

Answer:

-6, 10

Step-by-step explanation:

When you reflect of the y-axis the x will be negative if the original point was positive and the y will stay the same

Answer:

D

Step-by-step explanation:

I know the answer is D because I set the equation to be equal to x.

First, I added c to both sides. The equation looked like: 7x=k+c

Then, I divided 7 on both sides, so x would be by itself. The equation looked like x=k+c/7

In conclusion, the answer is D. x=k+c/7

Answer:

$83,634

Step-by-step explanation:

The computation of the increase in sales is shown below:

Given that

The total sales is $512,045

And, the increase his sales to $595,679

So based on the above information

The increase in sales is

= $595,679 - $512,045

= $83,634

Hence, the increase in sales is $83,634 that means the sales would be increased by $83,634

The same should be considered and relevant

Answer:

∠TSQ and ∠UVX

Step-by-step explanation:

Step-by-step explanation:

0/1,1/1

Multiply it by any number

0/1×30=0/30

1/1×30=30/30

Now we have many choices

2/30,5/30,20/30,15/30.....so...on

9514 1404 393

Answer:

  A) 12 pieces

  B) the meaning of the quotient is that Tara got 12 pieces of length 2/5 ft from her 4 4/5 ft rope

Step-by-step explanation:

A) (4 4/5)/(2/5) = (24/5)/(2/5) = 24/2 = 12

  Tara can cut 12 pieces from the rope.

__

B) The quotient is the answer to the question. The meaning of it is that Tara can get 12 pieces from the rope, in answer to the question, "how many pieces can Tara cut?"

It doesn't matter whether the numbers are whole numbers, decimals, fractions, or even irrational numbers. The whole is the sum of the parts, so the number of parts is equal to the size of the whole divided by the size of a part.

_____

Comment on the question

This sort of question seems to appear a lot in modern "common core" math materials. They tell you "x means <such and such>", and then they ask you, "What is the meaning of x?" It seems to be a reading comprehension exercise. Of course, the meaning of x is <such and such>, just as the problem statement tells you.

Answer:

C. 6

Step-by-step explanation:

According to Pythagprean theorem 10^2 = x^2 +8^2

100 = x^2+ 64 subtract 64 from both sides

36 = x^2

6 = x

Answer:

A

Step-by-step explanation:

A is the height since it shows the dotted line from top to bottom and B and C are slanted.

Answer:

Is correspond line

Step-by-step explanation:

use the formula:

[tex]v = u + at[/tex]

v = 30 [final velocity]

u = 10 [initial velocity]

a = 2 [acceleration]

solve for t [time]

Answer:

2.4 gallons

Step-by-step explanation:

to answer this question :

we have to determine the width of the rectangle.

determine the area

determine the gallons needed

Pythagoras theorem would be used to determine the width of the wall

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

60² + b² = 68²

3600 + b² = 4624

b = ²4624 - 3600 = 1024

√b = 32

Area of a rectangle = length x width

32 x 60 = 1920

Gallons needed = 1920 / 800 = 2.4 gallons