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Elena-2011 [213]
3 years ago
6

Someone help me fast its due at 8 pm

Mathematics
1 answer:
djverab [1.8K]3 years ago
5 0

Answer:

Eric's statement is false.

Step-by-step explanation:

When a positive and a negative number is added, pay attention to what number has a greater absolute value. If the positive number is greater, then the answer will be positive. In the negative number is greater, then the answer will be negative. For example, 23 + (-4) is going to end up as a positive sum, since 23 has a greater absolute value than -4. On the other hand, (-23) + 4 is going to end up as a negative number since -23 has a greater absolute value than 4.

You might be interested in
Find the area of the surface. the part of the surface y = 5x + z2 that lies between the planes x = 0, x = 1, z = 0, and z = 1.
Alex787 [66]

Parameterize the part of the surface we care about, denoted \mathcal S, by

\mathbf r(u,v)=\langle u,5u+v^2,v\rangle

with 0\le u\le1 and 0\le v\le1.

Then

\|\mathbf r_u\times\mathbf r_v\|=\|\langle5,-1,2v\rangle\|=\sqrt{4v^2+26}

The area is given by the surface integral

\displaystyle\iint_{\mathcal S}\mathrm dS=\int_{v=0}^{v=1}\int_{u=0}^{u=1}\|\mathbf r_u\times\mathbf r_v\|\,\mathrm du\,\mathrm dv

=\displaystyle\int_{v=0}^{v=1}\sqrt{4v^2+26}\,\mathrm dv=\sqrt{\dfrac{15}2}+\dfrac{13}2\sinh^{-1}\sqrt{\dfrac2{13}}

7 0
4 years ago
Nine times the sum of a number and two is forty five. What is the number?
kondaur [170]

Answer:

3

Step-by-step explanation:

9 x (N + 2)   = 45

9N + 18       = 45

9N              = 27  

N                 = 3  

6 0
3 years ago
When six basketball players are about to have a​ free-throw competition, they often draw names out of a hat to randomly select t
STatiana [176]

Answer as a fraction = 1/720

Answer in decimal form (approximate) = 0.001388

Answer in percent form (approximate) = 0.1388%

========================================================

Explanation:

Let A = 1 to indicate the number of ways to get the names to line up in alphabetical order.

There are B = 6*5*4*3*2*1 = 720 different ways to arrange the six people. Notice how I started at 6 and counted my way down to 1, multiplying all along the way. This can be shortened to factorial notation to say 6! = 720. Or you could use the nPr permutation formula to get the same result (use n = 6 and r = 6).

Once you have the values of A and B, we form the fraction A/B = 1/720 which is the probability of getting the names in alphabetical order.

If you need the answer in decimal form, then use your calculator to find

1/720 = 0.001388

which converts over to 0.1388%

4 0
3 years ago
Area=500 height=2x+6 width=4x-3: what is the exact width?
san4es73 [151]

Area of a rectangle is lxb

(4x-3) * (2x+6) = 500

{(4x * 2x) + (4x * 6)} + {( -3 * 2x) + (-3 * 6)} - multiplying the factors

{8x^2 + 24x} + {-6x + -18}

8x^2 + 24x -6x -18 - removing the brackets

8x^2 +15x -18

Hope you found the answer helpful

8 0
4 years ago
What is the image of the point (4, -8) after a rotation of 270° counterclockwise
saw5 [17]

Answer:

( -8, -4)

Step-by-step explanation:

Think of the graph as 4 different sections,

top left is 1

top right is 2

bottom right is 3

bottom left is 4

The red dot is (4, -8) and the blue dot is ( -8, -4 )

If you move from the right side of the grid to the left you would switch (x ,y ) to (y , x).

depending on what part of the graph it is in, it will be negative or positive.

hope this helps!

8 0
3 years ago
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