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2 years ago

Rick cuts a 12-foot-long ribbon into 2 pieces. One piece is 3.5 feet longer than the other. What is the length of each piece?

1 answer:

3 0

Its impossible there is no way to solve it because x+3.5= y no number can make 12 if one number is 3.5 ft longer than the other Ignore this i dont feel like erasing this part.

144 in. 42 in. greater than the other 42 + x = y Nvm if you convert the numbers too in. the numbers are 93 + 51 = 144 and if you convert it back it would be

7.75 + 4.25 = 12

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You need to order 4 plastic cups for each of the 800 runners. plastic cups are sold in 2 different pack sizes and you must choos

loris [4]

So you can buy $4 pack of $800 each, or buy $7 packs of $500 each.

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3 years ago

A metronome uses an inverted pendulum rod to control tempo. A weight can be slid up the pendulum rod to decrease tempo, or down

Dominik [7]

Answer:

Part 1

Multiply both sides by 2π

2πf = √(g/L)

Square both sides

4π²f²= g/L

Invert both sides

1/(4π²f²) = L/g

Multiply both side by g

g/(4π²f²) = L

We usually write an equation with the subject (L) n the left

L = g/(4π²f²)

________________________

Part 2

Using the above equation with the given values:

L = g/(4π²f²)

. .= 9.8 / (4π² x 1.6²)

. .= 0.097m (= 9.7cm)

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By the way, where it says

“f=1.6 then there are 2 beats a second, or 192 beats per minute (bpm).”

this should say

“f=1.6 then there are 3.2 beats a second, or 192 beats per minute (bpm)”

Step-by-step explanation:

7 0

2 years ago

Express your answer as a polynomial in standard form.

Musya8 [376]

Answer:

$f(g(x)) = 6x^2+6x+11$

Step-by-step explanation:

$f(g(x)) = 2(3x^2+3x+7) - 3\\f(g(x)) = 6x^2 + 6x + 14 - 3\\f(g(x)) = 6x^2+6x+11$

7 0

2 years ago

Rewrite the 4cm: 8km as a ratio in the form 1: n

Delicious77 [7]

Answer:

1 : 200000

Step-by-step explanation:

4 cm ⇒ 8 km

4 cm ⇒ 8 × 1000m

4cm ⇒ 8000m

4 cm ⇒ 8000 × 100 cm

4 cm ⇒ 800000cm

4 : 800000

$\frac{ 4 \:\::\:\ 800000}{4}$

1 : 200000

Therefore,

1 : n

1 : 200000

Hope this helps you.

Let me know if you have any other questions :-)

5 0

2 years ago

Read 2 more answers

Use the given information to find the minimum sample size required to estimate an unknown population mean μ.

larisa86 [58]

Answer:

The number of business students that must be randomly selected to estimate the mean monthly earnings of business students at one college is 64.

Step-by-step explanation:

The (1 - α) % confidence interval for population mean is:

$CI=\bar x\pm z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

The margin of error for this interval is:

$MOE= z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

The information provided is:

σ = $569

MOE = $140

Confidence level = 95%

α = 5%

Compute the critical value of z for α = 5% as follows:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the sample size required as follows:

$MOE= z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

$n=[\frac{z_{\alpha/2}\times \sigma}{MOE}]^{2}$

$=[\frac{1.96\times 569}{140}]^{2}\\\\=63.457156\\\\\approx 64$

Thus, the number of business students that must be randomly selected to estimate the mean monthly earnings of business students at one college is 64.

4 0

3 years ago