It was team color t-shirt day at Emily's school. The chart shows the number of students in her class and the color t-shirt that they wore.
T-shirt Colors
Color Worn
White
Blue
Red
Orange 2
Black
5
Gray
What percentage of the total students in Emily's class wore a black shirt?
O 10%
O 20%
O 30%
O 45%

Answer:

dx/dt = 5√5/2

Step-by-step explanation:

Given:

dx/dt = 25 feet per second

According to Pythagoras theorem:

x² + 90² = y²

We know that x = 30 ft

So,

x² + 90² = y²

30² + 90² = y²

y = 30√10

So,

x² + 90² = y²

By taking differentiate:

2x dx/dt = 2y dy/dt

[x/y][dx/dt] = dy/dt

dx/dt = 5√5/2

Answer:

75/100

=15/20

3/4

The probability is3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Hope this helped have an amazing day!

Answer: 3x+y=7  answer for that one is x=7/3-y/3

4x+2y=16 the answer for that is x=4-y/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Polynomial with a degree of 3 (due to 3 intersection points). Since the end of the graph is approaching positive infinity, we also know the equation of this graph has a positive coefficient.

(I don't know if you're in calculus yet, but...) We also know that there is a local min and local max, as well as inflection points as the graph changes concavity.

This is an example of a polynomial funciton because the graph of a polynomial function is a smooth continuous curve. Also, I had to graph a polynomial function in one of my past assignments, so I know its appearance.

Answer:

The answer is A.

Step by step explanation

x²-1

Where

Roots (-1,0) (1,0)

Domain x€R

Range f(x)€ [-1,+infinity]

Minimum (0,-1)

Vertical intercept (0,-1)

Answer:

correct answer = 2.367x107

wrong answer =  2.387x107

to find difference do big-small

or 2.387x107-2.367x107= (2.387-2.367)x107= 0.02x107=2.14

Answer:

x = 3

Work below

Step-by-step explanation:

5x + 12 = 27

-12. -12

5x = 15

/5 /5

x = 3

Hope this helps!!

Answer:

3

Step-by-step explanation:

5x+12=27

subtract 12 from 12 and 27 to cancel the 12 you wan your number that has a letter by its self 12-12=0 12-27=15 then you divide what ever number that has a number by whatever number your left with so 15/5=3

Answer:

I think it is b

Step-by-step explanation:

it is 3a times all of the numbers in parenthases

hope you pass your test

HAPPY NEW YEAR

Answer:

the answer is 15a+12ac+6ab

Step-by-step explanation:

3a(5+4c+2b)

(3a)(5+4c+2b)

(3a)(5)+(3a)(4c)+(3a)(2b)

15a+12ac+6ab

6ab+12ac+15a

hope this helps!

Answer:

y>=-4x+2

Step-by-step explanation:

Answer:

Greater than 2

Step-by-step explanation:

Have trust

Answer:

43.25

Step-by-step explanation:

Since sides DF and FE are congruent, their opposite angles D and E are also congruent.

m<D + m<E + m<F = 180

x + x + 93.5 = 180

2x = 86.5

x = 43.25

Answer: 43.25

Answer:

its d

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

The "quotient" is what you get after you divide 2 number, and in this case, you are dividing m/6.

Answer:

N(T(t)) = 24(8t + 3)² - 112(8t + 3) + 95 (this is can be the answer for the 1st cloumn since your teacher said "You do not need to simplify your answer)

N(T(5)) = 24(8(5) + 3)² - 112(8(5) + 3) + 95

N(T(t)) = 24(43)² - 112(43) + 95

N(T(t)) = 39 655

answe for 2nd coloumn

(5, 39655)

answer for 3rd coloumn

5 hours

answer for 4th col is

39,655 bacteria

Answer:

b is the correct answer

Answer:

3

Step-by-step explanation:

multiplication rule of exponents is to multiply the bases (sq rt 3) and add the exponents

(sq rt 3)^2 = 3

add exponents and power of 1

Answer: B. False.

They are in face Congruent! :)

[tex]2x*(5x^{2} +17+10)[/tex] is the answer I think

Answer:

multiplying by 3

Step-by-step explanation:

20x3=60 60x3=80. and the rest is the same.

Given:

Population is 2005 = 35,700

growth rate = 4% = 0.04

To find:

The population in 2030.

Solution:

The general exponential growth model is

[tex]y=a(1+r)^t[/tex]

where, a is initial value, r is growth rate and t is time in years.

Let the initial year is 2005. So, number of years between 2005 to 2030 is

[tex]2030-2005=25[/tex]

Putting a=35,700, r=0.04 and t=25 in the above model.

[tex]y=35,700(1+0.04)^{25}[/tex]

[tex]y=35,700(1.04)^{25}[/tex]

[tex]y=35,700(2.665836)[/tex]

[tex]y=95170.3452[/tex]

Approximate the value to the nearest whole number.

[tex]y\approx 95,170[/tex]

Therefore, population of the district will be about 95,170.

Amount in 2030 is $95,169

Given that:

Amount invested = $35,700

Growth rate = 4% = 0.04

Time invested = 2030 - 2005

Time invested = 25 year

Find:

Amount in 2030

Computation:

A = P[1+r]ⁿ

Amount in 2030 = 35700[1+0.04]²⁵

Amount in 2030 = 35700[1.04]²⁵

Amount in 2030 = 35700[2.6658]

Amount in 2030 = $95,169

Learn more:

https://brainly.com/question/24132206?referrer=searchResults

Answer:

Keith: 15, Carlos: 30, Yolanda: 23

Step-by-step explanation:

Let x be the amount of money Keith has. Then Yolanda has x+8 money and Carlos has 2x money. These all add up to 68.

x+(x+8)+2x=68

4x+8=68

4x=60

x=15

x represents how much money Keith has.

So Keith has 15 dollars, Carlos has 30 dollars, and Yolanda has 23 dollars.

Let's assume the sons age as x.

Age of the man is 2x

Five years ago,

The man's age=9x

The sons age=4x

Then find the equation.

hope it was helpful.

I am not solving all cuz that u understand how to frame a equation.

Answer:

x<7

I Believe

Answer:

2.50

Step-by-step explanation:

Answer:

2.5 so $2.50 is your awnser

Answer:

1. 58 = 5x-2, 60 = 5x, x = 12

2. 134 = 16x+22, 112 = 16x, x = 7

3. 125 = 7x-1, 126 = 7x, x = 18

4. 133+9x+2 = 180, 9x=45, x=6

5. 8x-77 = 3x+38, 5x = 115, x=23

6. 11x-47 = 6x-2, 5x = 45, x=9

7. 13x-21 = 5x+75, 8x = 96, x=12

8. 5x+3+9x-33 = 180, 14x = 210, x=15

9. 8x-31 = 6x+3, 2x = 34, x=17

5y+35+6(17)+3 = 180, 5y = 40, y = 8

10. 29x-3+15x+7 = 180, 44x = 176, x=4

13y-17+15(4)+7 = 180, 13y = 130, y=10

1. x = 12

2. x = 7

3. x = 18

4. x = 5

5. x = 23

6. x = 9

7. x = 12

8. x = 15

9. x = 17; y = 8

10. x = 4; y = 10

To find the value of each missing variable(s), we would need to apply our knowledge of algebra. However, recall the following rules of angles in parallel lines:

Let's solve the given problems as shown below given that line l is parallel to line m:

1. [tex]58 = (5x - 2)[/tex] (corresponding angles)

solve for x

[tex]58 = 5x - 2\\58 + 2 = 5x - 2 +2[/tex] (addition property of equality)

[tex]60 = 5x \\\frac{60}{5} = \frac{5x}{5}[/tex](division property of equality)

[tex]12 = x\\x = 12[/tex]

2. [tex]134 = 16x+22[/tex] (alternate exterior angles)

[tex]\\134 - 22 = 16x +22-22[/tex] (subtraction property of equality)

[tex]134 - 22 = 16x +22-22\\112 = 16x\\\frac{112}{16} = \frac{16x}{16}[/tex](division property of equality)

[tex]7 = x\\x = 7[/tex]

3. [tex]7x - 1 = 125[/tex] (alternate angles)

[tex]7x - 1 + 1 = 125 + 1\\7x = 126\\\frac{7x}{7} = \frac{126}{7} \\x = 18[/tex]

4. [tex](9x+2) + 133 = 180[/tex] (same-side interior angles)

[tex]9x+2 + 133 = 180\\9x + 135 = 180\\9x + 135 - 135 = 180 - 135\\9x = 45\\\frac{9x}{9} = \frac{45}{9} \\x = 5[/tex]

5. [tex]3x+38 = 8x-77[/tex] (alternate exterior angles)

[tex]77 + 38 = 8x - 3x\\115 = 5x\\\frac{115}{5} = \frac{5x}{5} \\23 = x\\x = 23[/tex]

6. [tex]6x-2 = 11x-47[/tex] (corresponding angles)

[tex]6x-2 = 11x-47\\47 - 2 = 11x - 6x\\45 = 5x\\x = 9[/tex]

7. [tex]5x+75 = 13x - 21[/tex] (alternate angles)

[tex]5x+75 = 13x - 21\\21 + 75 = 13x - 5x\\96 = 8x\\12 = x\\x = 12[/tex]

8. [tex](5x+3)+(9x-33)= 180[/tex] (same-side interior angles)

[tex]5x+3+9x-33= 180\\14x - 30 = 180\\14x - 30 + 30 = 180 + 30\\14x = 210\\x = 15[/tex]

9. [tex]8x-31 = 6x+3[/tex] (alternate angles)

[tex]8x - 6x = 31 + 3\\2x = 34\\x = 17[/tex]

Solve for y

[tex](5y + 35) + (6x + 3) = 180[/tex] (same-side interior angles)

[tex]5y + 35 + 6x + 3 = 180\\[/tex]

Plug in the value of x

[tex]5y + 35 + 6(17) + 3 = 180\\5y + 35 + 102 + 3 = 180\\5y + 140 = 180\\5y = 180 - 140\\5y = 40\\y = 8[/tex]

10. [tex](29x-3)+(15x+7) = 180[/tex](supplementary angles)

Solve for y

[tex]13y - 17 = 29x - 3[/tex] (alternate exterior angles)

Plug in the value of x

[tex]13y - 17 = 29(4) - 3\\13y - 17 = 116 - 3\\13y - 17 = 113\\13y = 113 + 17\\13y = 130\\y = 10\\[/tex]

Learn more about parallel lines here:

https://brainly.com/question/16227989

Answer: B.Side side side similarity theorem

Step-by-step explanation:

Hope this helps <3

^^^^ B.Side side side similarity theorem is correct

i just took the test and it was right!