A martini glass has the shape of a cone (on a stem). If 1cm^3 =1mL, how many milliliters of liquid can the glass hold. Use x=3.14 (10.9 cm left to right) and (4.8cm top to bottom)

Answers

Answer 1

Answer: Volume of glass = pie * r^2 * h /3
= 3.14 * 10.9/2 * 10.9/2 * 4.8/3
= 149.2 cm ^3

i.e equal to 149 ml of liquid which a glass can hold.

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Question 1 Which expression is the simplified form of the square root 150 times b cubed? 6 times b times the square root of 5 times b 5 times b times the square root of 6 6 times b times the square root of 5 5 times b times the square root of 6 times b

Given the box plot, will the mean or the median provide a better description of the center? a. The Mean, because the data distribution is symmetrical

b. the median, because the data distribution is symmetrical.

c. the mean, because the data distribution is skewed to the right.

d. the median, because the data distribution is skewed to the right

Answers

From the given box plot we can see that there are more values towards the right end than are on the left end.

This means the data is skewed towards right. A symmetrical box plot has same number of values on both sides of the median.

Whenever we are dealing with skewed graphs, the best option to choose from mean and median is always the median. This is because due to large number of data values on the one side, the mean will always be closer to that side. Median is not largely affected in this case.

Therefore, the correct answer would be option D.
The median, because the data distribution is skewed to the right

D. Mean always goes toward the skewness due to outliers.
Median is minimally affected by outliers.

Which are the roots of the quadratic function f(b) = b2 – 75? Check all that apply.

Answers

$f(b)=b^2-75\nf(b)=0\nb^2-75=0\nb^2=75\nb=\pm√(75)=\pm√(25*3)=\pm5√(3)$

Answer:

The roots of the given quadratic function $f(b) = b^2-75$ is $5√(3)\quad$ and $-5√(3)\quad$

Step-by-step explanation:

Given: Quadratic function $f(b) = b^2-75$

We have to find the roots of the given quadratic function $f(b) = b^2-75$

Since, roots of the quadratic equation is the points where the value of function is zero.

That is f(x) = 0

Consider the given function $f(b) = b^2-75$

Put f(b) = 0

$\Rightarrow b^2-75=0$

Simplify , we have,

$\Rightarrow b^2=75$

Taking square root both side, we have,

$\Rightarrow b=√(75)$

Simplify we have,

$\Rightarrow b=\pm 5√(3)\quad$

Thus, The roots of the given quadratic function $f(b) = b^2-75$ is $5√(3)\quad$ and $-5√(3)\quad$

You are going to mix a gallon bucket of window cleaner. The instructions direct you to mix 1 part cleaner to 3 parts water. How much cleaning solution will you need to use?* 1 ½ quarts 1 pint 2 quarts 1 quart

Answers

Answer:

Option D. 1 quart

Step-by-step explanation:

In a solution of 1 gallon we have to calculate the amount of cleaning solution will be needed.

Since mixture prepared will be in the ratio of 1 : 3 (cleaning solution : water)

So total amount of cleaning solution in 1 gallon = $(1)/(4)$ gallon

As we know 1 gallon = 4 quarts

so $(1)/(4)$ gallons = ( $(1)/(4)$ )(4) = 1 quart

Therefore, 1 quart of the cleaning solution will be added.

1 quart

Further explanation

Given:

You are going to mix a gallon bucket of the window cleaner.
The instructions direct you to mix 1 part cleaner to 3 parts water.

Question:

How much cleaning solution will you need to use?

1 ½ quarts
1 pint
2 quarts
1 quart

The Process:

From the text above, we will mix the window cleaning liquid in a gallon bucket by mixing 1 part cleaner to 3 parts water. In other words, the ratio of the mixture between the cleaning solution with water is 1 : 3.

The sum of the ratios is 1 + 3 = 4, meaning that in a gallon bucket there are four parts.

Furthermore, based on this ratio we can state the composition in solution as follows:

$\boxed{(1)/(4)}$ of a gallon bucket is a cleaning solution
$\boxed{(3)/(4)}$ of a gallon bucket is water

Remember that $\boxed{ \ 1 \ gallon = (1)/(4) \ quarts \ }$ .

Thus we need $\boxed{ \ (1)/(4) \ }$ of cleaning solution to mix a gallon bucket of window cleaner.

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A kids’ movie ticket costs $5.25.Type your answers in the boxes below.

a. One day, 200 kids’ tickets were purchased. What was the total cost of those tickets?

----------------- answer

Answers

Answer:

$1,050

Step-by-step explanation:

Simply multiply the cost per kid ticket and number of kids:

$5.25 x 200 = $1,050

Please help me ASAP!!

Answers

The answer is D, i.e. the system was solved via elimination

If you multiply the first equation by 5, the system becomes

$\left \{ {{-5x-10y=35} \atop {5x-6y=-3}} \right.$

If you sum the two equations, you get

$-16y = 32$

And so if you substitute the second equation of system A with this new equation, you'll get system B.

Melinda's lights went out. She has 3 pairs of red socks in her drawer 2 pairs of black socks and 5 pairs of white socks . What Is the minimum number of pairs she must remove from the drawer to ensure that she has a pair of each color? a. 3
b. 5
c. 7
d. 9
e. 10

Answers

Melinda must removeatleast 5 pairs of socks to ensure that she has a pair of each color.

Option B is the correct answer.

We have,

To ensure that Melinda has a pair of eachcolor, she needs to remove at least one sock from each color until she has one sock remaining from each color.

Since she has 3 pairs of red socks, 2 pairs of black socks, and 5 pairs of white socks, the minimumnumber of pairs she must remove is the maximum of these numbers.

The maximum among 3, 2, and 5 is 5.

Therefore,

Melinda must removeatleast 5 pairs of socks to ensure that she has a pair of each color.

Learn more about expressions here:

brainly.com/question/3118662

#SPJ2

The answer would be D because she cant be assured that she gets one of each pair if she grabs less.

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