Theo containers designed to hold water are side by side, both in the shape of a
cylinder. Container A has a diameter of 30 feet and a height of 18 feet. Container B
has a diameter of 26 feet and a height of 19 feet. Container A is full of water and the
water is pumped into Container B until Conainter B is completely full.
After the pumping is complete, what is the volume of the empty space inside
Container A to the nearest tenth of a cubic foot?

Step-by-step explanation:

the correct answer is option a 6a-7

Six less than the quotient of two and a number "W"

Let's take this step-by-step. First, change the written-out numbers to numerals:

6 less than the quotient of 2 and a number "W"

Next, combine the smallest part. In this case, it would be:

the quotient of 2 and a number "W"

Here, you are finding the quotient of a specific part: 2 and W. When we have specific sections like this in math, we put parentheses around them, like this:

6 less than the quotient of (2 and a number "W")

Now we need to remember what a "quotient" is. This means that there is division between the two numbers mentioned - in this case, 2 and the number W. But which is being divided into which? The number 2 comes first, so we think of 2 as being the first number used. Therefore, we are looking at:

6 less than (2 divided by W)

Division problems are exactly the same as fractions. For example, 3 divided by 1 is the same as 3 ÷ 1, which is also the same as 3/1 (which equals 3). In our case, 2 divided by W is the same as 2/W (your teacher might want this written as 2 ÷ W, but they mean the same thing). Now, we can write the equation as:

6 less than (2/W)

Which can also be written as:

6 less than 2 ÷ W

To finish this up, let's take a step back for a moment Imagine you have 10 jelly beans, and you eat 7 of them. You now have 7 less than 10, or 3 jelly beans. This can also be written as 10-7 = 3.

In our example, we have 6 less than (2/W). If we use the jelly bean equation we found as a starting point, we can change the 7 to 6 and the 10 to (2/W). Then, we get this:

(2/W) - 6

Which can also be written as:

2 ÷ W - 6

And that's your answer! Both of those mean the same thing so they're both correct. Your teacher might prefer you write it one way or the other, though. If this is the case, make sure to choose the solution that best fits your teacher's request.

As long as the measures of the three angles of a triangle add up to less than 180 degrees, and none of the angles measures more than 90 degrees, the triangle will be acute.

An acute triangle is a triangle that has three acute angles, which are angles that measure less than 90 degrees. All three angles of an acute triangle must be acute, so they must measure less than 90 degrees. The measures of the three angles of an acute triangle can be any combination of angles that add up to less than 180 degrees.

Here are some examples of the measures of the three angles of an acute triangle:

45 degrees, 45 degrees, 90 degrees

30 degrees, 60 degrees, 90 degrees

35 degrees, 40 degrees, 105 degrees

60 degrees, 60 degrees, 60 degrees (this would be an acute equilateral triangle)

As long as the measures of the three angles of a triangle add up to less than 180 degrees, and none of the angles measures more than 90 degrees, the triangle will be acute.

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The statement "random sampling helps to reduce bias" is true. Random sampling is a statistical technique where each member of the population has an equal chance of being included in the sample.

By randomly selecting participants, the sample is more likely to be representative of the population, which helps to reduce bias.

Random sampling helps to reduce bias because it eliminates systematic bias, which can occur when certain individuals or groups are overrepresented or underrepresented in the sample.

For example, if a researcher only sampled individuals from a certain demographic group, the results of the study may not be generalizable to the larger population.

Random sampling also helps to increase the precision of the estimate of the population parameter, as it reduces the variability in the sample. This allows researchers to draw more accurate conclusions about the population based on the sample data.

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Answer:

x>5

if u want me to explain comment me

Answer:

\(\$18\)

Step-by-step explanation:

Let the cost of sheet metal per square feet be \(x\)

Amount of sheet metal bought is \(10.8\ \text{ft}^2\)

Amount of sheet metal used is \(3.7\ \text{ft}^2\)

Remaining value of the sheet metal is \(\$127.8\)

So we get the equation

\(10.8x-3.7x=127.8\\\Rightarrow 7.1x=127.8\\\Rightarrow x=\dfrac{127.8}{7.1}\\\Rightarrow x=18\)

So, cost of sheet metal per square feet is \(\$18\).

Answer:

Step-by-step explanation:

338.33 ft

Answer: 15%

Step-by-step explanation:

The Percentage decrease will be:

= Decrease in weight / Old weight × 100

= (200 - 170) / 200 × 100

= 30/200 × 100

= 15%

The Percentage decrease is 15%

Answer:

Step-by-step explanation:

First, we use alternating angles which makes (8x -34) = (5x + 2)

8x - 34 = 5x + 2

Then we collect similar terms

8x - 5x = 2 + 34

3x = 36

x = 12

Since ∠DEF is 5x + 2 and x is 12

Sub x into the expression

5(12) + 2

60 + 2 = 62

∴ ∠DEF = 62°

The given statements are proved using set theory.

A⊆B, then X\B⊆X\A.

A⊆X iff A=X\(X\A).

X\B⊆X\A, then A⊆B.

a. Proving that if A⊆B, then X\B⊆X\A:

Assuming that A⊆B, then we can say that if x∈X\B, then x∉B.

Because A is a subset of B, x∉A implies x∉B. If x∉B, then x∈X\A.

As a result, X\B⊆X\A.

b. Proving that A⊆X if and only if A=X\(X\A):

Suppose A⊆X.

Then X\(X\A) = X ∩ A (the intersection of X and A) since the elements in X\A are precisely those that are not in A but in X.

Hence A = X ∩ A, which implies A ⊆ X\(X\A).

Conversely, suppose A = X\(X\A).

Let a be any element of A. This implies that a∈X but a∉X\A, so a∈A.

Therefore, A⊆X.

c. Proving that if A⊆X and X\B⊆X\A, then A⊆B:

If X\B⊆X\A, then B⊇A.

So, it remains to show that A⊆B. If a∈A, then either a∈B (because A⊆B) or a∈X\B (since a∉B).

If a∈X\B, then a∈X\A by X\B⊆X\A.

Therefore, a∉X\A, implying that a∉A.

This shows that A⊆B, and hence, the claim is true.

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The graphical representation that will be most appreciated for the data would be box plot, because the median can easily be determined from the large set of data. That is option A.

The box plot is a type of graphical representation of data that gIves more than one detail about the data set such as;

Box plots allow you to compare multiple data sets better than others dues to the above listed features that it has.

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Answer:

If we look at the graph, we can see that the x-intercept is located at (4, 0) and the y-intercept is located at (0, 2.5)

Answer:

6

Step-by-step explanation:

\(8-6+4\)

\(2+4\\6\)

The measure of angle 8 in the figure is given as follows:

m < 8 = 27º.

Alternate interior angles happen when there are two parallel lines cut by a transversal lines.

The two alternate exterior angles are positioned on the inside of the two parallel lines, and on opposite sides of the transversal line.

The alternate interior angles for this problem are given as follows:

2 and 8.

They are congruent, hence the measure of angle 8 is given as follows:

m < 8 = 27º.

The diagram is given by the image presented at the end of the answer.

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Answer:

3, 6, 9

Step-by-step explanation:

To find the first 3 terms , substitute n = 1, 2, 3 into the n th term rule.

a₁ = 3(1) = 3

a₂ = 3(2) = 6

a₃ = 3(3) = 9

Answer:

3,6,9

Step-by-step explanation:

\(u_{2} = u_{1} + 8 \\ u_{3} = u_{2} + 4 \\ u_{4} = u_{3} + 2 \\ u_{5} = u_{4} + 1 \\ u_{6} = u_{5} + 0.5 \\ ....\)

\(u_{2} = u_{1} + 2 {}^{3} \\ u_{3} = u_{2} + 2 {}^{2} \\ u_{4} = u_{3} + 2 {}^{1} \\ u_{5} = u_{4} + 2 {}^{0} \\ u_{6} = u_{5} + 2 {}^{ - 1} \\ ....\)

\(u_{n + 1} = u_{n} + 2 {}^{4 - n} \)

The ratios of oxygen atom and sulfur atom is an illustration of equivalent ratios.

There are 12 oxygen atoms, when the number of sulfur atom is 6.

From the diagram, we have:

\(S = 1\)

\(O_x = 2\)

So, the ratio is:

\(S : O_x = 1 : 2\)

When there are 6 sulfur atoms, the equation becomes

\(6 : O_x = 1 : 2\)

Express as a fraction

\(\frac{O_x}{6}= \frac{2}{1}\)

Multiply both sides by 6

\(O_x = 2 \times 6\)

\(O_x =12\)

Hence, there are 12 oxygen atoms

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Check the picture below.

so the pebble will hit the ground when h(t) = 0.

It's noteworthy that the pebble is falliing off a cliff, so it was at rest, so its initial velocity is 0, so in essence is falling as fast as gravity can drop it.

\(~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&0\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&256\\ \qquad \textit{of the object}\\ h=\textit{object's height}&\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-16t^2+256\implies 0=-16t^2+256\implies 16t^2=256 \\\\\\ t^2=\cfrac{256}{16}\implies t^2=16\implies t=\sqrt{16}\implies t=4 ~~ seconds\)

Answer:

8

Step-by-step explanation:

Answer:

x=(7+√29)/2 and x=(7-√29)/2

Step-by-step explanation:

x²-7x+5=0

x=[-b±√(b²-4ac)]/2a

x=[-(-7)±√(-7)²-4(1)(5)]/2(1)

x=[7±√(49-20)]/2

x=(7±√29)/2

Therefore, x=(7+√29)/2 and x=(7-√29)/2

Step-by-step explanation:

Given

Original price of trampoline = $249

Initial discount = 20% of $249

If a customer uses store credit and he or she receives an additional 10%, the total percent discount will be 20%+10% = 30%

Total amount discounted = 30% of original price

Total amount discounted = 30% * $249

Total amount discounted = 30/100*249

Total amount discounted = 0.3 * $249

Total amount discounted = $74.7

Final price of the trampoline = Original price - discount amount

Final price of the trampoline = $249 - $74.7

Final price of the trampoline = $174.3

To nearest cent

$174.3 * 100

= 17,430 cents

Hence the final price of the trampoline to the nearest cent if a customer uses store credit 17,430 cents

Answer:

400meters

Step-by-step explanation:

Find the speed of the hippopotamus by dividing distance with time

6000 meters ÷15minutes =400meters/minutes

Answer:

28

Step-by-step explanation:

The given equation, y = -1.7x + 8.5, is not in standard form with integer coefficients. The standard form of a linear equation is Ax + By = C, where A, B, and C are integers and A is positive.

To convert the given equation to standard form, we need to eliminate the decimal coefficient. We can do this by multiplying both sides of the equation by 10 to clear the decimal: 10y = -17x + 85 Next, we want the coefficient of x to be positive, so we can multiply both sides of the equation by -1: -10y = 17x - 85

Now, we can rearrange the terms to match the standard form: 17x - 10y = 85 So, the equation of the given line in standard form with integer coefficients is 17x - 10y = 85. To convert the given equation to standard form, we need to eliminate the decimal coefficient.

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Answer:

y=10x+150

Step-by-step explanation:

Answer: 47/90

Step-by-step explanation:

3/10+2/9=47/90 somehow ig

Answer:

an hour....

Step-by-step explanation:

Answer: 48

Step-by-step explanation:

A = bh = (8)(6) = 48

Answer:

The basic formula to find the scale factor of a dilated figure is: Scale factor = Dimension of the new shape ÷ Dimension of the original shape.