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3 years ago

What is the product?

Mathematics

2 answers:

RSB [31]3 years ago

4 0

Answer:

15a^5b^15

Step-by-step explanation:

you multiply 5 and 3 to get 15, and then when you are multiplying exponents of variables, you actually add them, so a^2 times a^3 is actually a^5, and b^7 times b^8 is b^15. Because these are all multiplied together, you get the answer of 15a^5b^15.

sukhopar [10]3 years ago

4 0

Answer:

15 a^5 b^15

Step-by-step explanation:

3 a^2 b^7 * 5a^3 b^8

We know x^y * x^z = x^(y+z)

3*5 a^(2 +3) b^(7+8)

15 a^5 b^15

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Help me out , plzzzzz!!

natta225 [31]

Answer:

a. 5,040 ways

b. 210 ways

Step-by-step explanation:

a) We want to pick 4 numbers out of 10 given that orders matter

If orders do matter, it will be a permutation problem

Mathematically;

n P r = n!/(n-r)!

In this case, n is 10 and r is 4

Thus, we have it that;

10 P 4 = 10!/(10-4)! = 5,040

b) if orders do not matter

It will be a combination problem

n C r = n!/(n-r)!r!

n = 10 and r = 4

10 C 4 = 10! /(10-4)!4!

= 210

3 0

2 years ago

I don’t really get this one.<br> Thx and have a great day!!

gayaneshka [121]

Answer:

The correct option is C). (9,4)

The coordinates of a point N is (9,4)

Step-by-step explanation:

Theory: If point P(x,y) lies on line segment AB and AP: PB=m:n, then we say P divides line AB internally in ratio of m:n and Point is given by

P= $(\frac{mX2+nX1}{m+n} , \frac{mY2+nY1}{m+n})$

Given that point, M is lying somewhere between point L and point N.

The coordinates of a point L is (-6,14)

The coordinates of a point M is (-3,12)

Also, LM: MN = 1:4

We can write as,

Let,

Point L(-6,14)=(X1, Y1)

Point M(-3,12)=(x,y)

Point N is (X2, Y2)

m=1 and n=4

M(-3,12)= $(\frac{mX2+nX1}{m+n} , \frac{mY2+nY1}{m+n})$

M(-3,12)= $(\frac{1(X2)+4(-6)}{1+4} , \frac{(Y2)+4(14)}{1+4})$

M(-3,12)= $(\frac{(X2)-24}{5} , \frac{1(Y2)+56}{5})$

$(-3)=\frac{(X2)-24}{5}$

(-15)=X2-24

X2=9

$(12)=\frac{(Y2)+56}{5}$

(60)=Y2+56

Y2=4

Thus,

The coordinates of a point N is (9,4)

Result: The correct option is C). (9,4)

3 0

3 years ago

It takes 5 builders, 18 hours to build a wall.<br>How many minutes would it take 8 builders?

mr Goodwill [35]

It would take 135 minutes:)

7 0

2 years ago

On a math test, you obtained a score of 66 points. This was 88% ofthe total number of points on the test. How many total points

Lyrx [107]

Answer:

Step-by-step explanation:

Let x be the total points

66/x = 0.88 (88%)

x = 75

3 0

3 years ago

The Bradenton Post polled 1,356 adults in the city to determine whether they wet their toothbrush before they put toothpaste on

natulia [17]

Answer:

The mean is 0.54 and the standard deviation is 0.0135.

Step-by-step explanation:

i) the mean of the sampling distribution is 0.54

ii) the mean for the sampling distribution, p = 0.54

iii) therefore for the sampling distribution, q = ( 1 - 0.54) = 0.46

iv) the sample size of the distribution, n = 1356

v) $the\hspace{0.1cm} standard\hspace{0.1cm} deviation\hspace{0.1cm} s = \sqrt{\frac{p\times q}{n} } = \sqrt{\frac{0.54\times 0.46}{1356} } = 0.0135$

4 0

3 years ago