Four friends share 1/4 of a gallon of lemonade equally. What fraction of the gallon of lemonade does each friend get?

Answer:

(-5,5)

Step-by-step explanation:

5v² - 125 = 0

5v² = 125

v² = 125 ÷ 5

v² = 25

v = √25

v = ±5

v = (-5,5)

Answer:

y = x*$3.45 if   0 ≤ x < 4

y = x*$3.00 if   4 ≤ x

Step-by-step explanation:

A piecewise function is a function that behaves differently in diferent intervals of it's domain.

We know that 1lb of candy costs $3.45

But if you buy 4 lb or more, the cost of each lb is $3.00

Then if x represents the number of pounds of candy that you buy, we have the equation:

y = x*$3.45     if     0 ≤ x < 4

y = x*$3.00     if     4 ≤ x

Answer:

55 Degrees

Step-by-step explanation:

Answer:

x=7.45

Step-by-step explanation:

Hey There!

For this one we are going to solve for x using trigonometry

Law of Sines to be more specific

So basically [tex]\frac{7}{sin(70)} = \frac{x}{sin(90)}[/tex]

Step on multiply each side by sin(90)

now we have

[tex]x=\frac{7*sin(90)}{sin(70)}[/tex]

7*sin90=7

[tex]\frac{7}{sin70} =7.4492944407[/tex]

Then we just round to the nearest hundredth which would make it into 7.45

Therefore x=7.45

Answer:

True

Terms are separated by the signs

Answer:

Step-by-step explanation:

(6)² = 5(6) + 6

36 = 30 + 6

36 = 36

Answer:

5

Step-by-step explanation:

4x-x=17-2

3x=15I:3

x=5

i think thats right

Answer:

4 adaults

Step-by-step explanation:

Answer

432 divided by 12

she worked 32 hours

Step-by-step explanation:

Answer:

I would try saying that it is a real number

Step-by-step explanation:

Answer:

Pi is a Real or Complex number

Answer: 2.1 tan 37 = x/2.1 * 2.1. 2.1 tan 37 = x. 1.582463505 =x. To the nearest tenth. 1.6 =x.

Step-by-step explanation:

Answer:

c. 0.71

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

The height of the candy after t seconds is given by the following equation:

[tex]h(t) = -16t^2 + 10t + 3[/tex]

After how many seconds will the ball be 2 feet in the air?

This is t for which [tex]h(t) = 2[/tex]

So

[tex]h(t) = -16t^2 + 10t + 3[/tex]

[tex]2 = -16t^2 + 10t + 3[/tex]

[tex]-16t^2 + 10t + 1 = 0[/tex]

So

[tex]a = -16, b = 10, c = 1[/tex]

[tex]\Delta = b^{2} - 4ac = 10^2 -4(-16)(1) = 164[/tex]

[tex]t_{1} = \frac{-10 + \sqrt{164}}{2*(-16)} = -0.09[/tex]

[tex]t_{2} = \frac{-10 - \sqrt{164}}{2*(-16)} = 0.71[/tex]

Since time is a positive measure, the answer is 0.71, which is option c.

Answer:

8/21

Step-by-step explanation:

Add the number of marbles : 4+9+8= 21

Then how many are blue: 8

Answer 8/21. Can't be simplified

0.38

Answer:

1. 2³

2.2⁵= 2×2×2×2×2= 32

2⁶= 2×2×2×2×2×2= 64

Step-by-step explanation:

hope it helps

Answer:

1. [tex]2^{3}[/tex]

2. It represents [tex]2*2*2*2*2[/tex] and [tex]2*2*2*2*2*2[/tex]

Step-by-step explanation:

1. it would have to be an exponent so 2*2*2 is 8 and 2^3 is also 8

2. it is an exponent so it would basically be multiplying the number times the number/amount of exponents so 2^5= 32 and 2^6=64

hope this helped :)  

Answer:3/20

Step-by-step explanation:

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wpazsebu

9514 1404 393

Answer:

Step-by-step explanation:

The transformations of interest here are ...

  g(x) = k·f(x) . . . . . vertically scale f(x) by a factor of k

  g(x) = f(x -h) . . . . shift f(x) right by h units

  g(x) = f(x) +k . . . . shift f(x) up by k units

__

Working left to right, the first factor we encounter is 1/3, multiplying the value that is cubed. This means the vertical scale factor of f(x) = x^3 is 1/3. A scale factor less than 1 represents a shrink, so ...

  transformation #1 = shrink by a factor of 1/3

The next number we encounter is -2 in the factor (x -2)^3. This means h=2 in f(x -h) = (x -2)^3. The horizontal shift right is 2 units:

  transformation #2 = right shift 2 units

Finally, we encounter the number -4. This means k=-4 in g(x)=f(x)+k. The up-shift is negative, so ...

  transformation #3 = shift down 4 units

__

The right- and down-shifts can be done in either order. Here, we have done them as we see them when scanning the equation left-to-right. The vertical scaling must be done before the down-shift, so that it does not affect the amount of down-shift.

Answer:

They are complementary angles.

Step-by-step explanation:

The sum of their measurements equals 90 degrees.

There is 13 diamonds and 4 numbers greater than 2 but less than 7. This means your probability of selecting one of these specific cards is a 17/52 chance

Answer: The element is remaining after 7 minutes = 60.23 grams

Step-by-step explanation:

The equation for mass decay :

[tex]A=A_0(1-r)^t[/tex], where [tex]A_0[/tex] = initial mass, A = mass after t minutes.

Given: [tex]A_0=510\ grams[/tex]

r = 26.3% = 0.263

t = 7 minutes

[tex]A=510(1-0.263)^7\\\\=510(0.737)^7\\\\=510(0.118106123435)\approx60.23\ grams[/tex]

Hence, the element is remaining after 7 minutes = 60.23 grams

Answer:

Its the sames steps as the other answer but round the decimal instead of 60.23 do 60.2 because the ,23 is rounded to the nearest 10th i think thats how i got it right

Step-by-step explanation:

Answer:

yes.

and here are some other words bc it needs to be longer than one word.

Answer:

Step-by-step explanation:

Answer:

x=17/13

Step-by-step explanation:

pretty sure you just shift x alone by itself

Answer: [tex]17/13=1.30769231[/tex]

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  4 in²

Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

  V = Bh

where B is the area of the base, and h is the height of the prism.

We can find the area of the base by solving for B.

  B = V/h

  B = (12 in³)/(3 in)

  B = 4 in² . . . . . . . . . . matches the first choice

Answer:

no, the calculator is not broken

Step-by-step explanation:

its not broken i got the same answer your welcome