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3 years ago

What is the volume of the prism in cubic units?

Mathematics

1 answer:

k0ka [10]3 years ago

7 0

You can multiply each of these values together to get the volume of the rectangular prism. The volume of the rectangular prism is 10 cubic units or units3. The units are cubic units because you multiplied the units 3 times when you multiplied the height, length, and width

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The roots of the function f(x) = x2 – 2x – 3 are shown. what is the missing number? x = –1 and x =

andrey2020 [161]

we have

$f(x)=x^{2}-2x-3$

Find the roots

Equate the function to zero

$x^{2}-2x-3=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2}-2x=3$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$x^{2}-2x+1=3+1$

$x^{2}-2x+1=4$

Rewrite as perfect squares

$(x-1)^{2}=4$

Square root both sides

$(x-1)=(+/-)2$

$x=1(+/-)2$

$x=1+2=3$

$x=1-2=-1$

therefore

the answer is

$x=3$

5 0

3 years ago

Read 2 more answers

A drawing shows 4 apples and 6 bananas. Which is the ratio of bananas to apples? 6:4 3:2 6 4 all of the above

ioda

4 apples and 6 bananas

so ration bananas to apples = 6:4 or 3:2 or 6 4

answer is

all of the above

8 0

3 years ago

Read 2 more answers

"How much do students pay, on average, for textbooks during the first semester in college? From a random sample of 400 students

dezoksy [38]

Answer: The margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.

Step-by-step explanation:

Since we have given that

Sample size = 400

Mean = $357.75

Standard deviation = $37.89

At 95% confidence level, z = 1.96

We first find the margin of error.

Margin of error is given by

$z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1.96\times \dfrac{37.89}{\sqrt{400}}\\\\=3.71$

95% confidence interval would be

$\bar{x}\pm \text{margin of error}\\\\=357.75\pm 3.71\\\\=(357.75-3.71,357.75+3.71)\\\\=(354.04,361.46)$

Hence, the margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.

7 0

3 years ago

A small Business earns a profit of $6500 in January and $17,500 in May. What is the rate of change in profit for this time perio

lukranit [14]

Answer:
Rate of change of profit for this period = $2750 / month

4 0

3 years ago

Andy bought 4 hamburgers snd 2 milkshakes for $13.50. Danny bought 3 hamburgers and 1 milkshake for $9.25. What cost of a hambur

Molodets [167]

A hamburger costs $2.5 and a milkshake costs $1.75

Step-by-step explanation:

Step 1: Form equations from the given details. Let cost of 1 hamburger be H and cost of 1 milkshake be M.

4H + 2M = 13.50 ------ (1)

& 3H + 1M = 9.25 ------ (2)

Step 2: Multiply eq(2) with 2 to make coefficients of M equal.

6H + 2M = 18.50 ------- (3)

Step 3: Subtract eq(3) from eq(1)

⇒ - 2H = - 5

⇒ H = $2.5

Step 4: Substitute value of H in eq(2) to find M.

⇒ 3 × 2.5 + M = 9.25

⇒ 7.5 + M = 9.25

⇒ M = $1.75

4 0

3 years ago