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3 years ago

15

Find the product of (-8) and (-13)

1 answer:

KiRa [710]3 years ago

4 0

To find this you can always use a calculator, if your teacher allows you to. Just remember to punch in the negative signs correctly and don't mistake them for subtraction signs. Also if you don't know what product means, that means the answer of a multiplication problem so for example 9 is the product of 3x3 or 5 is the product of 5x1. The answer to your question is 104. Maybe next time you can solve it on your own! :)

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Prove the following statement.

gayaneshka [121]

Answer:

You can prove this statement as follows:

Step-by-step explanation:

An odd integer is a number of the form $2k+1$ where $k\in \mathbb{Z}$ . Consider the following cases.

Case 1. If $k$ is even we have: $(2k+1)^{2}=(2(2s)+1)^{2}=(4s+1)^{2}=16s^2+8s+1=8(2s^2+s)+1$ .

If we denote by $m=2s^2+2$ we have that $(2k+1)^{2}=8m+1$ .

Case 2. if $k$ is odd we have: $(2k+1)^{2}=(2(2s+1)+1)^{2}=(4s+3)^{2}=16s^2+24s+9=16s^{2}+24s+8+1=8(2s^{2}+3s+1)+1$ .

If we denote by $m=2s^{2}+24s+1$ we have that $(2k+1)^{2}=8m+1$

This result says that the remainder when we divide the square of any odd integer by 8 is 1.

6 0

3 years ago

Solve for r<br> 2r = 7/10

deff fn [24]

Answer:

7/20

Step-by-step explanation:

given,

2r = 7/10

r= 7/10*1/2

r= 7/20

6 0

3 years ago

Coefficiants of (2x+y)^4

sattari [20]

By the binomial theorem,

$(2x+y)^4=\displaystyle\sum_{k=0}^4\binom 4k(2x)^{4-k}y^k=\sum_{k=0}^4\binom 4k2^{4-k}x^{4-k}y^k$

where

$\dbinom nk=\dfrac{n!}{k!(n-k)!}$

Then the coefficients of the $x^{4-k}y^k$ terms in the expansion are, in order from $k=0$ to $k=4$ ,

$\dbinom 402^{4-0}=1\cdot2^4=16$

$\dbinom412^{4-1}=4\cdot2^3=32$

$\dbinom422^{4-2}=6\cdot2^2=24$

$\dbinom432^{4-3}=4\cdot2^1=8$

$\dbinom442^{4-4}=1\cdot2^0=1$

3 0

3 years ago

Danessa needs to compare the area of one large circle with a diameter of 8 to the total area of 2 smaller circles with a diamete

BaLLatris [955]

Answer:

The answer is: 1, 2, and 6

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A rectangular field is 0.3 kilometers long and 0.15 kilometers wide. What is the area of the field in square meters?

Anika [276]

Answer:

4.5 meters

Step-by-step explanation:

The formula for the area of a rectangle is length x width. Using this formula, you can substitute the given information and find the area:

length x width = area

0.3km x 0.15km = area

0.045km = area

Finally, you can now convert square kilometres into square meters by multiplying by 100:

0.045 x 100 = 4.5 meters

6 0

3 years ago