MATHEMATICS MIDDLE SCHOOL

Please help due today by 11!! Plzz urgent

Answers

Answer 1

Answer:

Answer:

108pi inches^3

Step-by-step explanation:

Pi x r^2 x h

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1.Find the constant of variation for the relationship f(x)= 30x.  A.10  B.30  C.x  D.f(x)
2.Find the constant of variation for the relationship shown in the following table:
x 1 2  3 4
y 4  8 12 16

A.1  B.2  C.3  D.4

3.If f(x) varies directly with x, and f(x) = 8 when x = 6, write the direct linear variation equation.  A. f(x) = x  B.f(x) = 6x  C.f(x) = 8x  D.f(x) = x

4.If f(x) varies directly with x, and f(x) = 56 when x = 8, find the value of f(x) when x = 2
A.4  B.7  C.8  D.14

5.Which does not show a direct variation between x and y?
A.y =   B.y = 2x  C.y = 0.5x  D.y =

Answers

$(1)\n f(x)=30x\ \ \ \Leftrightarrow\ \ \ (f(x))/(x) =30\ \ \ \Rightarrow\ \ \ constant=30\ \ \ \Rightarrow\ \ \ Ans.\ B.\n\n(2)\nconsatnt= (y)/(x) = (4)/(1) =4\ \ \ \Rightarrow\ \ \ Ans.\ D.\n\n(3)\nf(x)=m\cdot x\ \ \ and\ \ \ f(6)=8\n\nm\cdot6=8\ \ \ \Rightarrow\ \ \ m= (8)/(6) = (4)/(3) \ \ \ \Rightarrow\ \ \ y= (4)/(3)x\ \ \ \ Ans.\ (?)$

$(4)\nf(x)=m\cdot x\ \ and\ \ f(8)=56\n\nm\cdot8=56\ \ \Leftrightarrow\ \ m= (56)/(8) =7\ \ \Rightarrow\ \ \ f(x)=7x\ \ \ \Rightarrow\ \ \ f(2)=7\cdot2=14\n\nAns.\ D.\n\n(5)\ndirect:\ \ y=m\cdot x\ \ \ and\ \ \ m\in R\ne.g.:\ \ y=2x,\ \ y=0.5x,\ \ y= (x)/(7)= (1)/(7)x,\ ...\n\nNOT\ direct:\ \ \ e.g.:\ \ y= √(x) ,\ \ y= (1)/(x),\ \ y=x^2,\ ...$

the answer is D i have this test and its the right answer for 2 reasons

1,its the only thing that looks like english

2,its always the right answer in anime logic

The sum of 5x and 2x is at least 14

Answers

5x + 2x >= 14

hope it helps

Simplify using mental math 7 / 10 + 2 / 5 - 1 / 10

Answers

common denominator first. multiply 2/5 by 2 in the top and bottom so they all have a denominator of 10

7/10+4/10-1/10=10/10

10/10=1

Assuming mental math still follows the order of operations, you have
$(7)/(10) + (4)/(10) - (1)/(10) = (10)/(10) = 1$

So the answer is 1.

Explain how to compare numbers using place value ?

Answers

Place value is ones, tens, hundredths, thousandths.
I.e. 123.56

1 is in the hundreds place. 2 is in the tens place. 3 is in the ones place. And after the decimal you add -th to the end of the place value (tens->tenths). So 5 is in the tenths place (to the right of the decimal you skip the ones place). And 6 is the hundredth place. Hope this helps!

Two bowls of pasta at a restaurant serve 3 people. How many bowls of pasta should be ordered for 12 people?

Answers

3 people - Two bowls of pasta
12 people - ?

12 divided by 3 = 4.

4 x 2 = 8.

8 bowls of pasta should be ordered for 12 people.

12 people divided by 3 people = 4

so if 2 bowls serve 3 people...2 bowls x 4 = serve 12 people

therefore, 8 bowls serve 12 people

Solve the problem. Type the number in the box that correctly completes the sentence.Nimrod wanted to build a tower three miles high. He wants to know how far would it be from the top of his tower to a point four miles away from the base of the tower. The distance would be Answer
miles.

Answers

Answer:

5 miles

Step-by-step explanation:

Think of this like a triangle. From the bottom of the tower, to the top of the tower, to the point 3 miles away, and back to the bottom of the tower.

So we already have 2 side lengths. The height of the tower, 3 miles, and the base, 4 miles. In order to find the 3rd length, the distance from the top of the tower to the point 4 miles away from the bottom, we need to apply the formula A squared + B squared = C squared.

We have A and B, (3 and 4) and we need C.

A squared (3 squared) is 9

B squared (4 squared) is 16

so 9 + 16 = C squared

9 + 16 = 25

C squared = 25

square root of 25 is 5

C = 5

The distance from the top of the tower to the point 4 miles away is 5.

Final answer:

By applying the Pythagorean theorem to the given problem, we find that the distance from the top of the tower to the point four miles away from the base of the tower is 5 miles.

Explanation:

Nimrod's problem is a classic application of the Pythagorean Theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the height of the tower is one side of the triangle (3 miles), and the distance from the base of the tower to the point Nimrod is interested in is the other side (4 miles). The distance from the top of the tower to that point is the hypotenuse.

Applying the Pythagorean theorem, we have: (Height of the tower)² + (Distance from the base to the point)² = (Distance from the top to the point)². So, this becomes: 3² + 4² = (Distance from the top to the point)². That simplifies into 9 + 16 = (Distance from the top to the point)², or 25 = (Distance from the top to the point)².

To find the actual distance (the length of the hypotenuse), we take the square root of 25, which is 5. Therefore, the distance from the top of the tower to the point four miles away from the base is 5 miles.

Using the Pythagorean theorem (a² + b² = c²), we can find the hypotenuse:

a² + b² = c²

3² + 4² = c²

9 + 16 = c²

25 = c²

c = √25

c = 5

So the distance from the top of the tower to the point four miles away from the base is 5 miles.

Learn more about Pythagorean theorem here:

brainly.com/question/19649203

#SPJ11

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