How much work was done to move the car from 0.3 m to 0.7 m?

Charlotte needs to collect at least 5,000 signatures for her petition. She has already collected 3,187 signatures. Write and sol

Feliz [49]

Okay!

The most important part of this problem is knowing which inequality sign to use

Greater than >

Less Than <

Equal to .. =

Greater or equal to ≥

Less than or equal to ≤

Charlotte needs AT LEAST 5,000 votes, meaning she has to have 5,000 votes or more

That means we use this sign → ≤

Now lets set up an equation to find how many more we need

5,000 ≤ 3,187 + X

solve for X

1,813 ≤ X

Hope I helped :) Sorry for the long explanation

5 0

3 years ago

Consider the expansion of (x + 2y)^10. Determine the coefficients for the terms with the powers of x and y shown.

julsineya [31]

Answer with Step-by-step explanation:

We are given that an expression

$(x+2y)^{10}$

Binomial expansion o f $(x+y)^n$ is given by

= $nC_0 x^n+nC_1x^{n-1}y^1+nC_2x^{n-2}y^2+nC_3x^{n-3}y^3+... nC_n y^n$

a. We have to find the coefficient of $x^2y^8$

$(x+2y)^{10}=10C_0x^{10}+10C_1x^9(2y)+10C_2x^8(2y)^2+10C_3x^7(2y)^3+...+10C_{10}(2y)^{10}$

Term is $10C_8x^(2y)^8$

Coefficient = $10C_8\cdot 2^8$

b.Term in which $x^4y^6$ is $10C_6x^4(2y)^6$

Coefficient = $10C_4\cdot 2^6$

c.We have to find the coefficient of $x^5y^5$

Term is $10C_5x^5(2y)^5$

Coefficient = $10C_5\cdot 2^5$

7 0

3 years ago

Read 2 more answers

Charlie runs at a speed of 3 yards per second. About how many miles per hour does Charlie fun?

snow_lady [41]

1 hour = 3600 seconds

3 × 3600 = 10800

10800 yards per hour

1 mile = 1760 yards

10800 ÷ 1760 = 6.13

6.13 miles per hour

5 0

3 years ago

Read 2 more answers

An auto store is having a sale on motor oil. The chart shows the price per quart as the number of quarts purchased increases.

mojhsa [17]

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

Question 1: Please see the answer at the photo, remember that when number of quartz is = 1 , Price per quartz = 2. This will be merge against each other.

This step will be repeated for the remaining figure.

Question 2:

As an be seen from the scatter plot, price per quart decrease when the number of quarts increase so the relation between the two variable show a negative association

Hope it will find you well.