There are 219 people at the science camp. 112 people are enrolled in the chemistry class, and 45 people are enrolled in the physics class. How many students are enrolled in both classes if 79 students are not enrolled in either of them?

Answer:

Step-by-step explanation:

This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):

[tex]sin^{-1}[sin(2x+30)]=sin^{-1}(1)[/tex]

On the left, the inverse sin "undoes" or cancels the sin, leaving us with

2x + 30 = sin⁻¹(1)

The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:

2x + 30 = 90 and

2x = 60 so

x = 30

You're welcome!

Answer:

123,000 grams

Step-by-step explanation:

1000 mg is equivalent to 1 gram.

Answer:

123000g

Step-by-step explanation:

1000mg=1g

123000000mg= xgrams

cross multiplying,

you'll have

[tex] \frac{123000000}{1000} = 123000[/tex]

Answer:

f(7) = 16

Step-by-step explanation:

f(7)  

Let x = 7

We use the first part of the function since 7 > 4

3(7) -5

21 -5

16

f(7) = 16

Answer:

x = 126

Step-by-step explanation:

The angles are complementary which means they sum to 180

x+54 =180

x = 180-54

x = 126

The square root of 100 is 10.

To check, solve 10 x 10.

Hope this helps! Please mark me as brainliest!

Have a great day!

Answer:

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

5/15,20,25

3,4,5

5*4*3*5

300

Answer:

209/50 is the improper fraction of 4.18

mixed no. is 4 9/50

Answer:

Step-by-step explanation:

Let

x = cost per mile

y = Total cost

Plan 1:

y = 59 + 0.15x

Plan 2:

y = 50 + 0.20x

Equate the total cost of the two plans

59 + 0.15x = 50 + 0.20x

59 - 50 = 0.20x - 0.15x

9 = 0.05x

x = 9/0.05

= 180

x = 180 miles

y = 50 + 0.20x

= 50 + 0.20(180)

= 50 + 36

= 86

y = 86

Answer:

Hello,

4 hours

Step-by-step explanation:

Let say w the work clean one room.

h the number of hours worked

p the number of people who works

k is a constant

6w=k*h*p

3 h, 2 p==> 6w

6w=k*3*2 ==> k=w

5 p, 20 w ==>

20w=k*h*p

20w=w*h*5

20=h*5

h=20/5

h=4

It will take 4 hours.

Answer:

-7 = y

Step-by-step explanation:

3x=y-5

Let x = -4

3(-4) = y-5

-12 = y-5

Add 5 to each side

-12 +5 = y-5+5

-7 = y

Answer: C and D

Step-by-step explanation:

Using the logistic equation, it is found that options C and D are correct.

The logistic equation for population growth is given by:

[tex]P(t) = \frac{K}{1 + Ae^{-kt}}[/tex]

[tex]A = \frac{K - P(0)}{P(0)}[/tex]

In which:  

For this problem, the equation is:

[tex]P(t) = \frac{64}{1 + 11e^{-0.08t}}[/tex]

Which means that:

Hence, options C and D are correct.

To learn more about the logistic equation, you can check https://brainly.com/question/25697660

Answer:

42.1

Step-by-step explanation:

The height of the main triangle is,

h = 47√3/2 (since it's an 30-60-90 triangle)

so to find x,

tan(44) = h/x

x = h/tan(44)

x = 42.1 (rounded to the nearest tenth)

Answered by GAUTHMATH

Answer:

not enough information

Answer:

The best option would be the second one.

Step-by-step explanation:

This is the only option that shows that x can only be greater than -8. The circled dot means x cannot be the number the dot is sitting on, in this case, -8.

Answer:

(2,5)

Step-by-step explanation:

4x - 2y = -2

6x + 3y = 27

Divide the first equation by 2 and the second equation by 3

2x - y = -1

2x + y = 9

Add the equations together

2x - y = -1

2x + y = 9

-------------------

4x = 8

Divide by 4

4x/4 = 8/2

x =2

2x+y = 9

2(2) +y = 9

4+u = 9

y = 9-4

y=5

(2,5)

Answer:

slalalallalalalalalalalalallapapapqpqpq

Answer:

Step-by-step explanation:

a1=-8

a2=3

D=11

n=-8+11(n-1)

Answer:

7474747448548

Step-by-step explanation:

I hope this helps

Answer:

6(4x + 2y)

Step-by-step explanation:

24x = 2 * 2 * 2 * 3 * x

18y = 2 * 3* 3 * y

Common factors = 2 * 3 = 6

24x + 18y = (6*4x) + (6*2y)   {6 is common in both terms}

               = 6*(4x + 2y)

Hi

5x²-x-4 = 0  

Δ= (-1)² - 4*5*(-4)

Δ =  1 -4*-20

Δ = 1  +80

Δ = 81  

√Δ=  9

as Δ ≥ 0 , so 2 solutions exist in R

S1 is :    ( 1+9) /2*5  =   10/10 = 1

s2 =      (1 -9)/2*5 =  -8/10 = -4*2 /2*5  = -4/5

Corrects answers are  A  and  D

Answer:

A. -4/5 And D. 1

Step-by-step explanation:

i just got it right

Answer:

Step-by-step explanation:

According to intersecting secants theorem we have the following equation:

Solve it for k:

Answer:

(a-b)(b-c)(a-c)

Step-by-step explanation:

a^2(b - c) + b^2(c-a) + c^2(a - b)

= a^2b - a^2c + b^2c - b^2a + c^2a-c^2b

=a^2b - b^2a - a^2c + b^2c + c^2a -c^2b

= ab(a - b) - c(a^2 - b^2) +c^2(a - b)

=ab(a - b) -c(a - b)(a + b) +c^2(a - b)

=(a - b)(ab - c(a + b) +c^2)

=(a - b)(ab - cb -ca + c^2)

= (a - b)(b(a-c) -c(a-c))

=(a-b)(b-c)(a-c)

Answer:

Unimodal-Skewed

Step-by-step explanation:

A distribution is called unimodal if it has only one hump in the histogram.

A symmetric distribution is equally divided on both sides of the highest hump.

The given histogram has only one hump at 4 and as it is not symmetrically distributed, it is skewed.

So the correct answer is:

Unimodal-Skewed ..

Answer:

7.9 L

Step-by-step explanation:

Juice dispensed in 1 second=0.1 L

Juice dispensed in 36 seconds=3.6 L

Juice left=11.5-3.6=7.9 L

Answer:

x=12

Step-by-step explanation:

Since the polygons are similar, we can write a ratio to solve

red side / yellow side

4      2

--- = ---

x       6

Using cross products

4*6 = 2x

24 = 2x

Divide by 2

24/2 =2x/2

12=x

Answer:

12

Step-by-step explanation:

When two shapes are similar, you need to find the scale factor of two existing corresponding sides.

For example, you can do 6 and 2.

Divide:

6/2 = 3

The scale factor: 3

Now multiply 4 and the scale factor (3):

4 × 3 = 12

So, x = 12.

Hope this helped.

Answer:

A

Step-by-step explanation:

the formula of the slope is (y2 - y1)/(x2 - x1)

slope = (3-2)/(-1-2) = 1/(-3) = -1/3