How many 1/3 cup servings are in a 12-cup container of juice?

If something is written in its simplest radical form, that means that you have already found all possible roots and eliminated any radicals from the denominator of a fraction. ... For example, if your fraction is 2/√7, multiply by √7/√7 to get 2√7/√49. This will simplify to 2√7/7.  hope this helps

Answer:

Square roots are the opposite of “squaring” a number, or multiplying it by itself. For example, three squared is nine (3 2 = 9), so the square root of nine is three. In symbols, this is √9 = 3. The “√” symbol tells you to take the square root of a number, and you can find this on most calculators.

Step-by-step explanation:

hope it helps

Answer:

90°

Step-by-step explanation:

33+57=90

180-90=90

Answer:  see below

Step-by-step explanation:

42)   11 < 3y + 2 < 20

      -2         -2    -2  

       9  <  3y      < 18

     ÷3   ÷3         ÷3  

      3 <    y      <  6

Graph:   o----------o

             3            6

44)   36 ≥ 1 - 5z >  -21

       -1     -1           -1    

       35 ≥     -5z >  -22

    ÷ -5 ↓  ÷ -5 ↓ ÷ -5

        7  ≤        z <  4.4

Graph:   o------------ ·

            4.4            7

46) 6b + 3 < 15    or    4b - 2 > 18

            -3   -3                 +2    +2

      6b       < 12           4b      > 20

    ÷6           ÷6         ÷4         ÷4  

         b      <  2    or     b     >   5

Graph:   ←--------o   o---------→

                        2    5

48)   8d < -64    and    5d > 25

      ÷8     ÷8                ÷5     ÷5

        d < -8      and       d > 5    

 there is no number that is both less than - 8 and greater than 5

                 No Solution

Graph:   (empty)

50)  15x > 30    and    18x < -36

    ÷15     ÷15           ÷18     ÷18  

         x >   2      and       x < -2  

 there is no number that is both less than - 2 and greater than 2

                 No Solution

Graph:   (empty)

Answer:

a d

Step-by-step explanation:

maybe

(Hope that helps (= The given says the height distribution is normally distributed with the mean height equal to 68 inches. In this case, the bell-shaped curve has a vertical symmetry at 68 inches. This means, half of the mean exceeds 68 inches while the other half has height below 68 inches.

The height range out of which only 5% of the young American men (from age 18 to 24) lie is  [63.35, 72.65] (in inches)

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] )

then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

For this case, let we take:

Then, according to the given data, we have:
[tex]X \sim N(\mu = 68, \sigma = 2.5)[/tex]

where [tex]\mu[/tex] is mean value of X and [tex]\sigma[/tex] is standard deviation of X (both in inches).

Also, we can write:

[tex]P(X < a) + P(X > b) = 5\% = 0.05[/tex]

Since normal distribution is symmetric about its mean, we can take a and b equidistant from the mean, so as to get a symmetric range which makes much more sense than taking an asymmetric range which doesn't comply with the nature of values of X.

Thus, we have:

[tex]\mu - a = b - \mu\\b = 2\mu - a[/tex]

From this result and [tex]P(X < a) + P(X > b) = 5\% = 0.05[/tex], we get:
[tex]P(X < a) + P(X > 2\mu -a) = 0.05[/tex]

Converting X to Z(the standard normal distribution), we get;
[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]

[tex]P(X < a) + P(X > 2\mu -a) = 0.05\\\\P(Z < z = \dfrac{x-\mu}{\sigma} = \dfrac{a-68}{2.5}) + P(Z > \dfrac{2(68) - a - 68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z > \dfrac{68-a}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z > -\dfrac{a-68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z \leq \dfrac{a-68}{2.5}) = 0.05 \: \: \: \: (\because P(Z > -k) = P(Z \leq k))\\\\2P(Z < \dfrac{a-68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) = 0.025[/tex]

Using the z-tables, we get the value of Z for which p-value is 0.025 as

-1.96

Thus, we get:
[tex]\dfrac{a-68}{2.5} = -1.96\\\\a = 68 + (-1.96 \times 2.5)\\a = 63.35[/tex]

Thus, we get: [tex]b = 2\mu - a = 2(68) - 63.35 = 72.65[/tex]

Thus, the range is [a,b] = [63.35, 72.65]

Thus, the height range out of which only 5% of the young American men (from age 18 to 24) lie is  [63.35, 72.65] (in inches)

Learn more about standard normal distribution here:

https://brainly.com/question/10984889

hope this helps broski

❤❤❤

Answer:

5

Step-by-step explanation:

you divide 42 by 2,then get 21 so you divide that by 105 and get 5 :))

Answer:

linear

Step-by-step explanation:

to be a linear equation it needs to have consistent rate of change for x and y. its constant for x at +4 but not for y at +16 +8 and +16

Answer:

The answer is "0.0846276476".

Step-by-step explanation:

Let all the origin(0,0) of JBLM be  

Let the y-axis be north along with the vector j unit.  

But along the + ve x-axis is east, and all along with the vector unit i.  

And at (194,-201) that undisclosed position is  

Mt. Ris (56,-40) at  

Let the moment it gets close to the Mt. rainier bet.  

Oh, then,  

If we know, the parallel to the direction from the point was its nearest one to a path to a point,

Calculating slope:

[tex]\to m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]

points:  (0,0) and (194,-201)

[tex]\to m=\frac{-201 -0 }{194-0}\\\\\to m=\frac{-201}{194}\\\\\to m=-1.03[/tex]

equation of the line:

[tex]\to y= mx+c\\\\\to y= -1.03\ x+c[/tex]

when the slope is perpendicular= [tex]-\frac{1}{m}[/tex]

                                                     [tex]= - \frac{1}{ -1.03}\\\\= \frac{1}{ 1.03}\\\\= 0.97[/tex]

perpendicular equation:

[tex]\to y-(-40)=0.97 \times (x-56) \\\\\to y+40=0.97 \times (x-56) \\\\[/tex]

Going to solve both of the equations to have the intersection point,  

We get to the intersect level in order to be at

(47.16,-48.5748)

so the distance from origin:

[tex]= \sqrt{(47.16^2+48.5748^2)}\\\\= \sqrt{2224.0656 + 2359.5112}\\\\=\sqrt{4583.5768}\\\\=67.7021181[/tex]

[tex]\to time =\frac{distance }{speed}[/tex]

[tex]= \frac{67.7021181}{800}\\\\= 0.0846276476[/tex]

Answer:

3:4 and 15:20

Step-by-step explanation:

3:4 and 15:20

15/3 = 5

20/4 = 5

Answer:

-7

Step-by-step explanation:

x2 + 4x - 1

(-1)2 + 4(-1) - 1

-2 + -4 - 1

-7

Answer:

3 1/3

Step-by-step explanation:

40/12

12*3 = 36

40-36 = 4 so there is 4 left over which goes over the denominator

3  4/12

Simplify

3 1/3

Answer:

(0,5)

Step-by-step explanation:

you are supposed to take the lowest and highest numbers of the x values and then that would be your domain

Answer:

It is either B or D but i would say B

Step-by-step explanation:

The median represents the middle value of the data 5.8 feet will be the middle value.

The median represents the middle value in a dataset. The median is important because it gives us an idea of where the center value is located in a dataset. The median tends to be more useful to calculate than the mean when a distribution is skewed and/or has outliers.

Given that apod of dolphins contains 800 dolphins of different ages and lengthens. The median length of dolphins in this pod is 5.8 feet.

From the definition, we can see that of the 800 dolphins the length of the middle dolphin is 5.8 feet because it is a median and the upper values will be greater than 5.8 feet and below it all the dolphins will have smaller lengths.

Therefore, the median represents the middle value of the data 5.8 feet will be the middle value.

To know more about median follow

https://brainly.com/question/23962563

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Answer:

The ratio is multiplying 1.6 so just pick all the proportional relationships where you have to multiply by 1.6.

Step-by-step explanation:

Proportional relationships man you have to multiply, but since I didn't know what you multiplied 5 to get to 8 I divided.

8÷5=1.6

And if you want to check your answer then multiply.

5×1.6=8

Could I please have BRAINLIEST?

three-dimensional graphs wouldn´t give you the right information but two-dimensional graphs would give you the actual size of the shape.

Answer:

x = - 3

Step-by-step explanation:

Solve by isolating x on one side of the equation.

12x+12=8x

     -12    -12

12x=8x-12

      -8x

4x=-12

4x/4=-12/4

x = - 3

Answer:

X is 6 or -6

Step-by-step explanation:

In absolute value it makes everything positive

Answer:

x = 6

Step-by-step explanation:

I hope this helps!

Answer:

A. 2x-5

Step-by-step explanation:

(2x-5)(3x+5)

Hope this helps!

Answer:

A. 2x-5

Step-by-step explanation:

Answer:

=22

Step-by-step explanation:

Subtract the numbers

2+54+4−6=180

2+48+4=180

Combine like terms

2+48+4=180

6+48=180

Subtract 48 from both sides of the equation

6+48=180

6+48−48=180−48

Simplify

Subtract the numbers

Subtract the numbers again

6=132

Divide both sides of the equation by the same term

6=132

6/6=132/6

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=22

Solution

=22

BRAINLIEST PLEASE!

Answer:

Its definitely B 84.5

I took the test

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

The median score is the score that appears in the middle of the graph and the set of numbers. 87 is the median score.

Answer:

That picture is quite blurry. If you could add a new image in the comments, I could help you ASAP.

Step-by-step explanation:

Answer:

another way to identify the domain and range of functions is by using graphs. because the domain refers to the set of possible input values z the domain of a graph consists of all the input values shown on the x-axis. the range is the set of possible output values, which are shown on the y-axis.

Answer:

0.023

Step-by-step explanation:

Answer:

5mph faster

Step-by-step explanation:

Kayla is going 48 mph because 144/3 is 48

Kendra is going 53mph because 224/4 is 53

53-48=5

8 miles/hour Kendra drives faster than Kayla.

Given that, Kayla drives 144 miles in 3 hours. Kendra drives 224 miles in 4 hours.

We need to find out how much faster Kendra drive on average.

The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.

Now, the speed of Kayla=144/3 = 48 miles/hour

The speed of Kendra=224/4 = 56 miles/hour

So, the difference in speed between Kendra and Kayla=56-48=8 miles/hour.

Therefore, 8 miles/hour Kendra drives faster than Kayla.

To learn more about the speed visit:

https://brainly.com/question/7359669.

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Answer:

x=16

Step-by-step explanation:

if the lines were parallel then that means that (7x+2) = (8x-14) because they are corresponding angles. just isolate the varible so subtract 7x from both sides and add 14 to both sides. and they you get x=16