Tom has a steel box that has a capacity of 5 gallons. What is the maximum amount of fluid, in quarts, that this box can hold?
A. 10 qt.
B. 15 qt.
C. 18 qt.
D. 20 qt.

Check the picture below.

Answer:

Look below at the image I have provided for you <3

Step-by-step explanation:

I hope this helps!

Answer: D all of the above

Step-by-step explanation:

A. you can see that the majoritie of the area is dessort becuase of the long expance of lack of vegitation and water

B. Because there is no other water sourses the cities would have to be along water

C. Along the nile river is vegitation

D. Must be D.

Answer:

7040 Yards

Step-by-step explanation:

First, you have to divide 5280 by 3, to get 1760 yards

Then you have to multiply 1760 by 4

Finally, you should get the answer of 7040 yards :D

Answer:

The other person who answered it already explained it but the answer is 7,040

Step-by-step explanation:

Answer:

∠ AEB = 114°

Step-by-step explanation:

the chord- chord angle AEB is half the sum of the measures of the arcs intercepted by the angle and its vertical angle , that is

∠ AEB = \(\frac{1}{2}\) (AB + CD) = \(\frac{1}{2}\) (140 + 88)° = \(\frac{1}{2}\) × 228° = 114°

Answer:

4 and 6 over 10

Step-by-step explanation:

If u do the math u will get dis answer

Answer:

The answer should be 55.3

Step-by-step explanation:

because 6.5 × 8.5 = 55.25. and that rounded is 55.3. :>> hope this helpss!

Step-by-step explanation:. The first says “I know that 10 is one-tenth of 100. I will therefore divide 50 by 10. The answer is 5”.

This is fine when the numbers are relatively simple. But suppose the numbers are more complicated.

What is 22% of 46?

Now it’s much less straightforward. You can’t just work out what 22% is, expressed as a fraction, and anyway, it’s not a simple fraction.

Instead, you have to divide 46 into 100 equal parts, and work out what 22 of them would be when added together.

So: 46 ÷ 100 = 0.46 [remember, when you divide by 100, you move the decimal point two places to the left].

0.46 × 22 = 10.12

Answer: 22% of 46 is 10.12.

Hope this helped :)

Answer:

45 degrees

Step-by-step explanation:

The 4 angles of a quadrilateral will add to 360.

We know 1 of them (angle B) is 90 degrees.

We can set up an equation to solve the others.

2x+3x+x+90 = 360

Now solve for x.

Start by combining the x terms together.

6x+90 = 360

6x = 360-90

6x = 270

(6x/6) = 270/6

x = 45 degrees

Check back to see if that makes sense and if the equation equals 360 when x is 45:

2x+3x+x+90 = 360

2(45)+3(45)+45+90=360.

a) The best location is the Baptist Church, with a weighted score of 69.5.

b) The best location will be the Baptist Church, with a weighted score of 70.5.

The best location is obtained considering the location that has the highest score.

The scores are computed using the weighted mean, which is the sum of each score by it's weight.

The score for Maitland is given as follows:

Maitland = 0.30 x 60 + 0.25 x 40 + 0.20 x 50 + 0.15 x 50 + 0.10 x 80 = 53.5.

The score for Baptist Church is given as follows:

Baptist Church = 0.30 x 70 + 0.25 x 80 + 0.20 x 80 + 0.15 x 70 + 0.1 x 20 = 69.5. (highest score).

The score for Northside Mall is given as follows:

Northside Mall = 0.30 x 80 + 0.25 x 30 + 0.20 x 60 + 0.15 x 40 + 0.10 x 90 = 58.5.

Then for item b, the weights for Space and Traffic Density are reversed, and thus the scores are given as follows:

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Answer:

\( \sqrt{8 + y} \)

The only automorphism of a well-ordered set is the identity.

To prove this statement, we need to show that any automorphism of a well-ordered set must be the identity function. An automorphism is a bijective function that preserves the order structure of the set.

Assume we have a well-ordered set (W, ≤), where W is the set and ≤ is the order relation.

Let f: W → W be an automorphism of the set.

We aim to prove that f is the identity function, i.e., f(x) = x for all x ∈ W.

Suppose, for contradiction, that there exists an element a ∈ W such that f(a) ≠ a.

Since f is a bijective function, there must exist some b ∈ W such that f(b) = a.

Since (W, ≤) is well-ordered, there is a least element c in the set {x ∈ W : f(x) ≠ x}.

Let d = f(c). Since f is an automorphism, f(c) ≠ c, and thus d ≠ c.

Since (W, ≤) is well-ordered, there is a least element e in the set {x ∈ W : f(x) = d}.

Consider the element f(e). Since f is a bijective function, there must exist some f^{-1}(f(e)) = e' ∈ W such that f(e') = f(e) = d.

By the definition of automorphism, f(f^{-1}(y)) = y for all y ∈ W. Applying this property to e', we have f(f^{-1}(f(e'))) = f(e') = d.

However, f^{-1}(f(e')) = e' ≠ c, and thus f(e') ≠ d. This contradicts the fact that e is the least element in the set {x ∈ W : f(x) = d}.

Therefore, our assumption that there exists an element a such that f(a) ≠ a is false.

Since we assumed f(a) ≠ a for arbitrary a ∈ W, it follows that f(x) = x for all x ∈ W.

Hence, the only automorphism of a well-ordered set is the identity function.

Therefore, we have proven that the only automorphism of a well-ordered set is the identity function.

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Situation which illustrates best the concept of absolute advantage is: Option A - A German factory can build more sports cars than foreign factories.

Absolute advantage is the potential of an individual,  a company, or a  country to produce a higher quantity of output than its competitors while using the same inputs. It means an institution with absolute advantage has more efficiency in producing a particular commodity than its rivals. It utilizes lower marginal cost (materials and labor), making its output much cheaper than others.

A factory in German has an absolute advantage because it can produce more sports car  than foreign countries. Absolute advantage makes the factory more competitive in the market than its rivals.

Therefore, the correct answer is option A.

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Answer:

A , B and C

Step-by-step explanation:

evaluate the expressions following the order of operations as set out in PEMDAS

initial expression

note that • indicates multiplication

3 (2 + 6) + 4 × 5 ← evaluate parenthesis

= 3(8) + 20 = 24 + 20 = 44

A

5 × 4 + 3 × (6 + 2) ← evaluate parenthesis

= 5 × 4 + 3 × 8 ← perform multiplication

= 20 + 24 ← perform addition

= 44

B

(6 + 2) × 3 + 4 × 5 ← evaluate parenthesis

= 8 × 3 + 4 × 5 ← perform multiplication

= 24 + 20 ← perform addition

= 44

C

3 × 2 + 3 × 6 + 4 × 5 ← perform multiplications

= 6 + 18 + 20 ← perform addition

= 44

D

3 × 2 + (6 + 4) × 5 ← evaluate parenthesis

= 3 × 2 + 10 × 5 ← perform multiplication

= 6 + 50 ← perform addition

= 56

the expressions equivalent to the initial expression are A , B and C

The area of the circle created by the paint is given by the expression 4πt².

The area of the circle is 100π, which is approximately 314.16 in².

The circle will be at least 300 in² in 5 minutes. Yes.

To find the area of the canvas, we multiply the lengths of its sides:

Area = (3x + 5) × (2x + 1)

Expanding the expression:

Area = 6x² + 3x + 10x + 5

Combining like terms:

Area = 6x² + 13x + 5

The area of the canvas is given by the expression 6x² + 13x + 5.

Now, let's find the area of the circle created by the paint.

The area of a circle is given by the formula A = πr², where r represents the radius.

The radius is given by the spreading of paint, which is r(t) = 2t.

Substituting the value of r(t) into the formula, we have:

A[r(t)] = π(2t)²

Simplifying:

A[r(t)] = π(4t²)

A[r(t)] = 4πt²

Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.

Substitute t = 5 into the area formula:

A[r(5)] = 4π(5)²

A[r(5)] = 4π(25)

A[r(5)] = 100π

Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.

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Answer:

this triangle seems to be an isosceles, obtuse triangle

Answer:

B.

Step-by-step explanation:

In the attached file

Answer:

u = 10.88

Step-by-step explanation:

u - 6.46 = 4.42

u - 6.46 + 6.46 = 4.42 + 6.46

u = 10.88

Answer:

Your answer is 9

Step-by-step explanation:

√9=3

3-7=-4

Answer:

The value of the length and width is;

Explanation:

Let l and w represent the length and width of the rectangle.

Given that;

The length of a rectangle is twice the width

the perimeter is 282.

the formula for perimeter of a rectangle is;

Let us substitute equation 1 to 2;

We can now substitute the value of w into equation 1 to get the length l;

Therefore, the value of the length and width is;

Answer:

the answer is 13 for this problem

Answer:

13

Step-by-step explanation:

\({a}^{2} + {b}^{2} = {c}^{2} \)

\( {5}^{2} + {12}^{2} = {c}^{2} \)

\( {c}^{2} = 169\)

\(c = \sqrt{169} \)

\(c = 13\)

The medians are about the same.

Option C is the correct answer.

The median, in statistical terms, refers to the value in the center of a dataset that has been sorted either in ascending or descending order, and it is a commonly used measure of central tendency. This contrasts with the mean, which calculates the total value of all figures, then divides by the number of figures.

We have,

Movie theater 1.

From the box plot given,

The median is 995.

Movie theater 2.

From the box plot given,

The median is 995.

Thus,

The median in both the box plot is the same.

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The range and domain of the graph shown is

domain -4 ≤ x < ∞

range ∞ ≤ x < 3

All of a function's x-values, or inputs, make up the domain, and all of a function's y-values, or outputs, make up the range.

The domain of a graph is every value in the graph, from left to right.

Examining the curve the extreme left has x coordinate value of -4 and the right end have an arrow which means the value continues. this is written as

-4 ≤ x < ∞

The graph's entire range, from lower to higher numbers, in the vertical line represents the range.

Examining the curve the lowest point the curve reached in y-coordinate have an arrow which means the value continues and the top end have the value of 3. this is written as

∞ ≤ x < 3

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The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.

Part A: The absolute value inequality that describes the range of the actual weight of the object is:

|w - 125.8| ≤ 0.4

Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:

w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4

Solving the first inequality:

w - 125.8 ≤ 0.4

Add 125.8 to both sides:

w ≤ 126.2

Solving the second inequality:

-(w - 125.8) ≤ 0.4

Multiply by -1 and distribute the negative sign:

-w + 125.8 ≤ 0.4

Subtract 125.8 from both sides:

-w ≤ -125.4

Divide by -1 (note that the inequality direction flips):

w ≥ 125.4

Combining the solutions, we have:

125.4 ≤ w ≤ 126.2

The object is 125.4 ≤ w ≤ 126.2.

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Answer:

15 miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

A productive approach to identifying a research topic and subsequent research question can involve utilizing multiple sources, including:

Literature review: Reviewing existing research in the field can help identify gaps in knowledge and areas that need further investigation.

Personal interests and experiences: Consider your own experiences, interests, and expertise to identify a topic that you are passionate about and can contribute to.

News articles and current events: Stay up-to-date on current events and identify topics that are relevant and pressing in your field.

Professional associations and organizations: These organizations often have conferences and publications that highlight current research trends and topics.

Government reports and data sources: These sources can provide data and information on a wide range of topics and can serve as a starting point for identifying a research question.

Ultimately, a combination of these sources can be useful in identifying a research topic and subsequent research question. It's important to consider the feasibility, importance, and originality of the research topic, and to choose a topic that you can research thoroughly and effectively.

Answer:

True

Step-by-step explanation:

Suppose a system contains a large number of variables than equations, then there is a need to make assumptions of some values for the extra variables in order to solve the system. So, the assigning of these values can be done in several ways. Thus, the system cannot contain a unique solution.

Also, for a system of the linear equation:

\(AX = B\)  can have a unique solution if:

Augmented matrix(rank) = coefficient matrix(rank) = no. of variables.

Provided that there exist fewer equations and more variables,

Then;

coefficient matrix(rank) <  no. of variables

Thus, the system cannot contain a unique solution.