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3 years ago

How many terms are in the algebraic expression 3x^2 4y-1

Mathematics

2 answers:

satela [25.4K]3 years ago

5 0

U got 3 terms....(3x^2) and (4y)..dont know if its neg or pos, and (-1)

ohaa [14]3 years ago

4 0

I think it's 3...

Since 3x^2 has an exponent i don't think the exponent counts as a separate term so that's one,

4y is one term, that's two

and the constant, 1, which makes 3 terms.

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An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find the work (in J) needed to pump half of the water out of the

Nitella [24]

Answer:

$W=2452.5 J$

Step-by-step explanation:

The work is define as the integral of the force times distance. So we have:

$W=\int^{a}_{b}Fxdx$

Now, we can write the force in terms of density.

$F=m*g=\rho Vg$

V is the volume (V=2*1*1=2 m³)

So the work will be:

$W=\int^{0.5}_{0} 2*1000*9.81*xdx=\int^{0.5}_{0} 2*1000*9.81*xdx=\int^{0.5}_{0}19620xdx=19620(\frac{x^{2}}{2})|^{0.5}_{0}$

The limit of integration is between 0 and 0.5 because we want to pump half of the water out of the aquarium.

$W=19620(\frac{x^{2}}{2})|^{0.5}_{0}=19620(\frac{0.5^{2}}{2})$

$W=2452.5 J$

I hope it helps you!

8 0

3 years ago

Find the product and list the unit rates

lisabon 2012 [21]

Answer: 3/19 107% 216%

3 0

3 years ago

Read 2 more answers

Help I need to get this done I have 15 questions

ivanzaharov [21]

Answer:

8 cm

Step-by-step explanation:

(See the image attached for details)

The blue segment measures 15 cm
The green segment measures 7 cm
The green and yellow segment when added form the blue segment
So: ? + 7 = 15

Solve:

? + 7 = 15

Subtract 7 on both sides:

? + 7 = 15

-7 -7

? = 8 cm

Therefore, the yellow segment, or the missing side length, measures 8 cm.

4 0

3 years ago

A triangle has side lengths of 36 in, 27in, and 61 in. Classify it as acute, obtuse, or right.

Lady_Fox [76]

When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:1) Square all 3 sides.36, 27, 61 1,296, 729, 3,721 2) Sum the squares of the 2 shortest sides.1,296 + 729 = 2,025

3) Compare this sum to the square of the 3rd side.2,025 < 3,721
if sum > 3rd side² Acute Triangleif sum = 3rd side² Right Triangleif sum < 3rd side² Obtuse TriangleTherefore, it is an Obtuse TriangleSource:http://www.1728.org/triantest.htm

7 0

4 years ago

A survey of 85 families showed that 36 owned at least one DVD player. Find the 99% confidence interval estimate of the true prop

attashe74 [19]

Answer:

$0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286$

$0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562$

The 99% confidence interval would be given by (0.286;0.562)

Step-by-step explanation:

Information given:

$X= 36$ represent the families owned at least one DVD player

$n= 85$ represent the total number of families

$\hat p=\frac{36}{85}= 0.424$ represent the estimated proportion of families owned at least one DVD player

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286$

$0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562$

The 99% confidence interval would be given by (0.286;0.562)

8 0

3 years ago