MATHEMATICS HIGH SCHOOL

Can someone help me with this question? pls

Answers

Answer 1

Answer:

Answer:

See attachment

Step-by-step explanation:

See attachment

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A certain radioactive isotope has a half-life of 15 days. If one is to make a table showing the half-life decay of a sample of this isotope from 32 grams to 1 gram; list the time (in days, starting with t = 0) in the first column and the mass remaining (in grams) in the second column, which type of sequence is used in the first column and which type of sequence is used in the second column?

Answers

A half-life of the isotope is 15 days and at start its mass is 32 g.
A table:
t: m:
0 32 g
15 16 g
30 8 g
45 4 g
60 2 g
75 1 g
In the first column is used an arithmetic sequence ( a 1 = 0, d = 15 ).
In the second column is used a geometric sequence ( a 1 = 32, r = 1/2 )

Write the equation of the line with slope –2/3 that passes through the point (10, –4)

Answers

Answer: $y=-(2)/(3) x+(8)/(3)$

Step-by-step explanation:

The equation of the line goes as $y=mx+b$ , where m is slope and b is y-intercept. Since we are already given slope and a point (x,y), we can plug those values in and solve for b.

$-4=-(2)/(3) (10)+b$ [multiply]

$-4=-(20)/(3) +b$ [add both sides by 20/3]

$b=(8)/(3)$

Now, we can plug in all the values together to get $y=-(2)/(3) x+(8)/(3)$ .

Final answer:

The equation of the line with the slope -2/3 that passes through the point (10, -4) is y = -2/3x + 8/3.

Explanation:

The subject of this question is the equation of a straight line, specifically how to write the equation of a line with a given slope and passing through a specific point. Given the slope, m = -2/3, and the point P(10, -4), we can use the point-slope form of the line which is y - y1 = m(x - x1). Substituting the given values into the formula, we get y - (-4) = -2/3(x - 10). Simplifying this we get y + 4 = -2/3x + 20/3. Even further simplification leads to the equation of the line y = -2/3x + 20/3 - 12/3, finall getting y = -2/3x + 8/3.

Learn more about Equation of a Line here:

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at a local fitness center, members pay a $6 membership fee and $5 for each aerobics class . nonmembers pay $6 for each aerobics class . for what number of aerobics classes will not cost for members and nonmembers be the same ?

Answers

When each member or non member takes 6 classes, the cost to each of them will be the same.

For members: 6 (membership) + 6(5) = 36

For nonmembers, 6 classes cost 6(6) = 36

So, 6 classes

Y = –6x2 + 3x + 2 rewritten in vertex form

Answers

I think it is
y=-6(x-1/4)^2+19/8

this can also be explained as c on edg

Simplify this expression.4(9n-9)

a. -10n+20
b. -10n+19
c. 36n-36
d. -8n+56

Answers

4(9n-9)
= 4*9n -4*9 (distributive property)
= 36n -36

The correct answer is c. 36n -36~

C. If you multiply 4 times 9= 36n- 36(you have to multiply all the numbers in the parenthesis by the outside number.

What is the value of 8P4?

Answers

8P4 is a permutation;

P(n,r) ; nPr = n!/(n-r)!

8P4 = 8!/(8-4)! = 40,320 / 4! = 40,320 / 24 = 1,680

The value of 8P4 is 1,680

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