What is the distance from (−4, 0) to (2, 5)? round your answer to the nearest hundredth. 7.81 8.17 8.58 10.4

What is the coefficient of the x5y5-term in the binomial expansion of (2x – 3y)10? 10C5(2)5(3)5 10C5(2)5(–3)5 –10C5(2)5(–3)5 10C

butalik [34]

ANSWER

$10C_5(2)^{5}( - 3)^5$

EXPLANATION

The given binomial expansion is:

${(2x - 3y)}^{10}$

Compare this to

${(a + b)}^{n}$

we have a=2x , b=-3y and n=10

We want to find the coefficient of the term

${x}^{5} {y}^{5}$

This implies that, r=5.

The terms in the expansion can be obtained using

$T_{r+1}=nC_ra^{n-r}b^r$

We substitute the given values to obtain;

$T_{5+1}=10C_5(2x)^{10-5}( - 3y)^5$

$T_{6}=10C_5(2x)^{5}(3y)^5$

$T_{6}=10C_5(2)^{5}( - 3)^5 {x}^{5} {y}^{5}$

Hence the coefficient is;

$10C_5(2)^{5}( - 3)^5$

5 0

3 years ago

Read 2 more answers

A local park is in the shape of a square. A map of the local park is made with the scale 1 inch to 200 feet. If a straight path

kkurt [141]

Answer:

600 ft per side

Step-by-step explanation:

1 in = 200 feet

12 in = 1 foot

12 in * 200 ft= 2400 ft

2400/4 = 600 ft per side

5 0

2 years ago

What is the ratio of the intensities of an earthquake PP wave passing through the Earth and detected at two points 19 kmkm and 4

Tamiku [17]

Answer:

The ratio of the intensities is roughly 6:1.

Step-by-step explanation:

The intensity I() of an earthquake wave is given by:

$I = \frac{P}{4\pi d^{2}}$

<em>where P: is the power ans d: is the distance. </em>

Hence, the ratio of the intensities of an earthquake wave passing through the Earth and detected at two points 19 km and 46 km from the source is:

$\frac{I_{1}}{I_{2}} = \frac{P/4\pi d_{1}^{2}}{P/4\pi d_{2}^{2}}$

<em>where I₁ = P/4πd₁², d₁=19 km, I₁ = P/4πd₂² and d₂=46 km </em>

$\frac{I_{1}}{I_{2}} = \frac{d_{2}^{2}}{d_{1}^{2}}$

$\frac{I_{1}}{I_{2}} = \frac{46 km^{2}}{19 km^{2}}$

$\frac{I_{1}}{I_{2}} = 5.9:1$

Therefore, the ratio of the intensities is roughly 6:1.

I hope it helps you!

3 0

2 years ago

Please need help on this

ser-zykov [4K]

Answer: In my answer I got 9 because the formula to find the area it would be A=1/2b*h

Step-by-step explanation: How would you do this?

Well we know that the base equals 6 we have heighth so we would have to do 1.5*6 and that would give us 9 but if we round it would be 10 because 9 is closer to 10 than it is to 0.

thanks :)

4 0

3 years ago

Daisy works at an ice-cream parlor. She is paid $10 per hour for the first 8 hours she works in a day. For every extra hour she

tester [92]

Answer:

The expression giving her net earnings for a day with more than 8 hours worked is X = 80 + 15H, where H means "extra hours worked".

Step-by-step explanation:

Given that Daisy works at an ice-cream parlor earning $10 per hour for the first 8 hours she works in a day, and 1.5 times her hourly wage for every extra hour she works, in order to know how much can she make in a day working more than 8 hours the following equation has to be made:

X = (8 x 10) + (H x (1.5 x 10))

X = 80 + 15H

Therefore, if Daisy works 13 hours, the equation works as follows:

X = 80 + 15x13

X = 80 + 195

X = 275

3 0

2 years ago