Please help. Due soon.

Answers

Answer 1

Answer: The function represents exponential growth (since the exponent is positive).

The percentage increase is, if I'm not mistaken, 181.3% (since 710 is just a constant, we don't need to worry about that - it won't affect the growth rate of the function)

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(3/4)(12x-8)-5x how do I solve this?

Answers

$(3)/(4)*(12x-8)-5x=(3(12x-8))/(4)-5x=(36x-24)/(4)-5x=(36x-24)/(4)-5x=$
$=9x-6-5x=4x-6$

Answer:

4-6x

Step-by-step explanation

Trey is sewing a pentagonal button into a shirt, as shown in the figure below. The button has holes at each of its 5 corners. How many different stitches would Trey need to make in order to stitch a piece of thread across every possible pair of non-adjacent holes?

Answers

To stitch a piece of thread across every possible pair of non-adjacent holes in a pentagonal button with 5 corners, you can use the combination formula.

For a pentagon, there are 5 corners, and you want to choose 2 holes to stitch between, so it's a combination of 5 holes taken 2 at a time.

The combination formula is:

C(n, k) = n! / (k!(n-k)!)

Where:
- n is the total number of items to choose from (in this case, 5 holes).
- k is the number of items to choose (in this case, 2 holes).

C(5, 2) = 5! / (2!(5-2)!)

Now, calculate the combinations:

C(5, 2) = 5! / (2!(3!))

C(5, 2) = (5 * 4 * 3!) / (2! * 3!)

Now, simplify:

C(5, 2) = (5 * 4) / (2!)

C(5, 2) = (20) / (2)

C(5, 2) = 10

So, Trey would need to make 10 different stitches to stitch a piece of thread across every possible pair of non-adjacent holes in the pentagonal button.

during a basketball game, your team scored three times as many 2-point field goals than it did 3-point field goals, and scored a total of 90 points. How many field goals did your team score?

Answers

Answer:

40 field goals

Step-by-step explanation:

Represent 2-point with x and 3-point with y;

Given

$x = 3y$

$2x + 3y =90$

Required

Determine x and y

$x = 3y$

$2x + 3y =90$

Substitute 3y for x in $2x + 3y =90$

$2(3y) + 3y = 90$

$6y + 3y = 90$

$9y = 90$

Divide both sides by 9

$y = 10$

Substitute 10 for y in $x = 3y$

$x = 3 * 10$

$x =30$

The number of field goals = x + y

$x + y = 30 + 10$

$x + y = 40$

Hence, the number of field goals is 40

If the measure of <5 = 102° then the measure of <8 = what

Answers

Answer: 163.2°

Step-by-step explanation:

A cosmetics company that makes small cylindrical bars of soap wraps the bars in plastic prior to shipping. Find the surface area of a bar of soap if the diameter is 5cm and the height is 2cm.

Answers

we would have two circles of 5cm diameter each, and a rectangle of the length pi*diameter and 2cm, so lets add them:
total = 2circles + rectangle
total = 2(2*pi*(5/2)^2) + pi*diameter*heigth
= 4*pi*(2.5)^2 + pi*5*2
= 109.9
that is the surface area of a bar soap 109.9 cm^2

The formula you use is pi x radius ^ 2 + pi x radius x l ( l stands for lateral height)
pi x 2.5^2 + pi x 2.5(2)
3.14 x 6.25 + 3.14 x 5
19.6 + 15.7
= 35.3 cm^2

Which is more precise: 123cm or 1291mm?

Answers

Final answer: 1291 mm is more precise than 123 cm, for 1291 has more significant figures than 123.

Hope this helps~

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