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3 years ago

A prism is filled with 30 cubes with 1/2 unit side lengths. What is the volume of the prism in cubic units?

Mathematics

1 answer:

Vladimir [108]3 years ago

7 0

The correct anwser would be 56

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Ivory says that the equation 2x+2=x+1 has no solution because the left-hand side is double the right-hand side. Is Ivory Correct

lorasvet [3.4K]

Answer:

No, Ivory is incorrect. The equation does have a solution, and the solution is x = -1.

Step-by-step explanation:

We try to solve the equation first.

2x + 2 = x + 1

We want all variables on the left side and all numbers on the right side.

Subtract x from both sides.

x + 2 = 1

Subtract 2 from both sides.

x = -1

Check: Plug in -1 for x on both sides and see if it makes a true statement.

2x + 2 = x + 1

2(-1) + 2 = -1 + 1

-2 + 2 = 0

0 = 0

0 = 0 is a true statement, so the solution x = -1 is the correct solution.

Answer: Ivory is incorrect. The equation does have a solution, and the solution is x = -1.

8 0

3 years ago

What are the exact solutions of x2 − 5x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b square

geniusboy [140]

Answer:

$x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}$

Step-by-step explanation:

So the question here is asking you to use the quadratic formula which is expressed as: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\$

A quadratic can generally be expressed as: $y=ax^2+bx+c$

So using the equation you gave: $0=x^2-5x-1$

We can identify the following values: a=1, b=-5, c=-1

Btw the equation explicitly write "1" as the coefficient of x, but since it's not provided it's implied that it's 1.

So plugging in the known values, we get the following equation:

$x=\frac{5\pm\sqrt{(-5)^2-4(1)(-1)}}{2(1)}\\\\x=\frac{5\pm\sqrt{25+4}}{2}\\\\x=\frac{5\pm\sqrt{29}}{2}\\\\x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}$

The last step just consists of taking the + and - solution, and since it asks for exact solutions you leave the 29 under the radical, and you don't approximate. There is no further simplification that can be done here.

5 0

2 years ago

Consider the function p(t) shown, state the intervals on which the function is increasing.

satela [25.4K]

Answer:

its A

Step-by-step explanation:

because A is a reasonable explanation

5 0

3 years ago

Read 2 more answers

-x + 5y = 13<br>x - y = 15

aivan3 [116]

Answer:

x-y-15=15-15

x-y-15=0

hope this helps :)

3 0

3 years ago

Read 2 more answers

Find tsa of cylinder whose height is 7cm and radios 4cm.

ki77a [65]

Answer:

Answer

Let height =h

Total surface area=2πr(r+h)

r=7cm

⇒968=2×

×7(7+h)

⇒

968

=7+h

⇒h+7=22

⇒h=22−7

=15cm.

Step-by-step explanation:

6 0

3 years ago