The center of mass of a triangular solid is at its what?
-Incenter
-circumcenter
-centroid
-vertex

Answer:

Simplifying

5(x + 9) = 5x + 45

Reorder the terms:

5(9 + x) = 5x + 45

(9 * 5 + x * 5) = 5x + 45

(45 + 5x) = 5x + 45

Reorder the terms:

45 + 5x = 45 + 5x

Add '-45' to each side of the equation.

45 + -45 + 5x = 45 + -45 + 5x

Combine like terms: 45 + -45 = 0

0 + 5x = 45 + -45 + 5x

5x = 45 + -45 + 5x

Combine like terms: 45 + -45 = 0

5x = 0 + 5x

5x = 5x

Add '-5x' to each side of the equation.

5x + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0

0 = 5x + -5x

Combine like terms: 5x + -5x = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions

Step-by-step explanation:

Answer:

3/5 3/4

3/5*4/3=12/15=4/5

4/5 cups of water

because 4/3 is the reciprocal of 3/4 and so 3/4*4/3=1

Answer:

4+11a+8b

Step-by-step explanation:

1) 4+3a+2b+6b+5a+3a

2) 3a+3a+5a=11a. 2b+6b=8b

Answer:

B. 140

Step-by-step explanation:

With this chart, you must know the fundamentals of the angles. In this case, angle c and e are supposed to equal to 180. In the question, it gives us both the formulas for both angles. So adding them up to 180 will give us x

(x - 10) + (2x + 40)

with a trusty calculator, you will get

= 3x + 30

Now equal this equation to 180

3x + 30 = 180

3x = 180 - 30

3x = 150

Now divide 150 to 3

150 divided by 3 = 50

x = 50

Now just add the x to the angle c

2(50) + 40

=140

To further check if its correct, add the x to angle e

(50) - 10

=40

140 +40 = 180

So the answer would be 140

Answer:

15

Step-by-step explanation:

75 divided by 5

Answer:

15 problems

Step-by-step explanation:

To find how many problems were correct, find 1/5 of 75:

Divide 75 by 5:

75/5

= 15

So, Harry got 15 problems correct.

Answer:

Interest = Principal x rate x time

I = 25000(.029)(5) = $3,625

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

300 min or 5 hours

Step-by-step explanation:

so if it pumps 0.5 gallons per minute than in 2 minutes it would pump 1 whole gallon so with that we know 1gallon=2 minutes.

so with that we multipy both sides by 150 which will be 150 galons=300 minutes or 5 hours

Answer:

The answer is x = 4

Step-by-step explanation:

Given:

The table shown the number of campers, x, at a local campsite and the total amount of money, y, in dollars, earned by the camp site.

To find:

The unit for the rate of change.

Solution:

We know that, rate of change is the change in y-values with respect to x-values, i.e.,

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

In the given problem, y is the total earnings in dollars and x is the number of campers. So, the rate of change represents the change is earnings with respect to number of campers.

Thus, the unit of rate of change is dollars per camper.

Therefore, the correct option is D.

9514 1404 393

Answer:

  7.51 m

Step-by-step explanation:

The distance traveled to the first floor hit is 1 m. The next hit has a height that is 14% less, so is 100% -14% = 86% = 0.86 times this height. The travel up and down to/from that height is added to the total.

The distance traveled to the second floor hit is 1 m + 2×(0.86×1 m).

The distance traveled to the third floor hit is 1 m + 0.86×2 m + 0.86²×2 m.

Then the distance traveled to the n-th floor hit is ...

  -1 m + Sum(0.86^k × 2 m) for k = 0 to n-1

The sum can be found from the formula for the sum of a geometric series:

  Sn = a1×(r^n -1)/(r-1) . . . . . where a1 is the first term and r is the common ratio.

For r = 0.86, n = 6, and a1 = (2m), the total distance is ...

  vertical distance = -1 m + (2 m)(0.86^6 -1)/(0.86 -1)

  = -1 m + (2 m)(-0.5954)/(-0.14) ≈ 7.5062 m

The total distance traveled to the 6th floor hit is about 7.51 meters.

_____

Alternate solution

Another way to answer the question is to add up the distances for each bounce. Attached is a spreadsheet that does that.

Answer:

Step-by-step explanation:

The required correlation of the data is given by -0.5. Option C is correct.

Given that,
To determine the approximate correlation of the data shown,

A statistical measure known as correlation expresses how closely two variables are related linearly.

here,
Draw a constant line from the first point to the last point,
Which shows a decreasing slope of -0.5. So it is the approximate correlation of the data given.

Thus, the required correlation of the data is given by -0.5. Option C is correct.

Learn more about the correlation here:

https://brainly.com/question/28898177

#SPJ2

Answer:

it is decreasing

Step-by-step explanation:

Answer:

Its obviously decreasing

Step-by-step explanation:

Answer:

5485/45

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

20 may be answer for this may be

Answer:

1. b 2. d 3 a

Step-by-step explanation:

Subtracting from the group or a number of things is what subtracting signifies in math, and the calculation can be defined as follows:

Following are the solution to the given subtraction equations:

For question 1:

A) 4.3 - (-0.9) = 4.3+ 0.9= 5.2 that is true

B)  4.3 - 0.9 = 5.2 that is false because answer is 3.4

C) -4.3 - 0.9 = 5.2 that is false because answer is -5.2

D)  -4.3 - (-0.9) = -4.3 +0.9 = 5.2 that is false because answer is -3.4

For question 2:

[tex]\to \frac{3}{4} + (-\frac{1}{2})\\\\\to \frac{3}{4} -\frac{1}{2}\\\\\to \frac{3-2}{4}\\\\\to \frac{1}{4}\\\\[/tex]

Therefore, the answer is "Option C".

For question 3:

[tex]\to \frac{2}{3} - (-\frac{2}{3})\\\\\to \frac{2}{3} +\frac{2}{3}\\\\\to \frac{4}{3}\\\\[/tex]

Therefore, the answer is "Option B".

For question 4:

[tex]\to \frac{2}{5} + (-\frac{4}{5})\\\\\to \frac{2}{5} -\frac{4}{5}\\\\\to \frac{2-4}{5}\\\\\to \frac{-2}{5}\\\\[/tex]

Therefore, the answer is "Option B".

For question 5:

[tex]\to[/tex] 4 – (-6)

[tex]\to[/tex] 4 +6

[tex]\to[/tex] 10

Therefore, the answer is "Option D".

For question 6:

[tex]\to - \frac{2}{6} + (\frac{3}{2})\\\\\to - \frac{1}{3} + \frac{3}{2}\\\\\to \frac{2-9}{6}\\\\\to \frac{-7}{6}\\\\[/tex]

Therefore, the answer is "Option B".

For question 8:

[tex]\to \frac{3}{4} - (-\frac{1}{4})\\\\\to - \frac{3}{4} + \frac{1}{4}\\\\\to \frac{3+1}{4}\\\\\to \frac{4}{4} \\\\ \to 1[/tex]

Therefore, the answer is "Option D".

For question 9:

A) -3.4 + 5.7 = -9.1 that's is false because answer is 2.3

B) -3.4 + (-5.7) = -9.1 that's is true.

C) 3.4 + (-5.7) = -9.1 that's is false because answer is -2.3

D) 3.4 + 5.7 = -9.1  that's is false because answer is 9.1

Find out more about the subtraction here:

brainly.com/question/1927340

Answer:

The correct answer is 5

Step-by-step explanation:

Answer:Phil Wickham - Great Things (Official Lyric Video) -

Step-by-step explanation:

Answer:

a. This function therefore exhibits a constant return to scale.

b. The reason is that the sum of the exponents of the multiplicative factor a is equal to 1.

Step-by-step explanation:

The given production function is first correctly stated as follows:

Q = A L^½ K^½ .......................... (1)

In order to know the returns to scale this function exhibits, the input K and L are scaled by the multiplicative factor a which is included in equation (1) as follows:

Q = A (aL)^½ (aK)^½

Q = A a^½L^½ a^½K^½

Q = A a^½ a^½ L^½  K^½

Q = A a^(½+½) L^½  K^½

Q = A a^1 L^½  K^½ ......................... (2)

Based on the equation (2), we now answer the following questions:

a. What returns to scale, does this function exhibit?

This function therefore exhibits a constant return to scale.

b. Why?

The reason is that the sum of the exponents of the multiplicative factor a in equation (2) is equal to 1.

Answer:

[tex]S_{7}[/tex] = - 119973

Step-by-step explanation:

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(r^n-1)}{r-1}[/tex]

where a is the first term and r the common ratio

Here a = - 3 and r = 18 ÷ - 3 = - 6 , thus

 [tex]S_{7}[/tex]   = [tex]\frac{-3(-279936-1)}{-6-1}[/tex]

    = [tex]\frac{-3(-279937)}{-7}[/tex]

    = [tex]\frac{839811}{-7}[/tex]

     = - 119973

Answer:

x= 56 x= 89

Step-by-step explanation:

Answer:

[tex]\frac{4+16a^3+23a^3}{a^2}[/tex]

Step-by-step explanation:

Given

[tex]1/a^2-3a+2 + 1/a^2-5a+6 + 2/a^2-8a+15[/tex]

Required

Simplify

[tex]1/a^2-3a+2 + 1/a^2-5a+6 + 2/a^2-8a+15[/tex]

Collect Like Terms

[tex]1/a^2 + 1/a^2 + 2/a^2-3a-5a-8a+2+6+15[/tex]

[tex]1/a^2 + 1/a^2 + 2/a^2-16a+23[/tex]

Add Fractions:

[tex]\frac{1+1+2}{a^2} + 16a + 23[/tex]

[tex]\frac{4}{a^2} + 16a + 23[/tex]

This can be further expressed as:

[tex]\frac{4+16a^3+23a^3}{a^2}[/tex]

Answer:

Number of children bicycles = 117

Step-by-step explanation:

Given that:

Number of adult bicycles = a =  42

Let,

x represent the number of children bicycle

According to given statement;

The number of children bicycle is nine less three times the number of adult bicycles.

x = 3a - 9

Putting a=42

x = 3(42)-9

x = 126-9

x = 117

Hence,

Number of children bicycles = 117

Answer:

The team made x<53 points total.

Step-by-step explanation:

1/4+1/10 is 7/20 or 0.35 in decimal form. If they both together scored 21 points then you can add another 7/20 (21 points) and have 14/20 (42 points). You have 6/20 more left. If you can solve what 1/20 could be then you would find the answer. Does this helps?

Answer:

The total number of points scored is 60.

Step-by-step explanation:

We can multiply a number to both fractions to get them to share a common denominator so we can add them easily. 20 is a multiple of both 4 and 5, so let us multiply both denominators so that they each have a denominator of 20.

1/10 * 2 = 2/20

1/4 * 5 = 5/20

Now we can add those fractions together because we want to see the total amount of points the team scored.

2/20 + 5/20 = 7/20

If 7/20 is 21 points, we can find out how much points takes up 1/20 of the fraction. We do this by dividing 21 by 7.

21 / 7 = 3

So 1/20 = 3

Now we multiply 3 by 20, which is 60. So therefore the total amount of points scored by the team is 60. Brian scored 1/10 of 60, which is 6. So he scored 6 points. Joe scored 1/4 of 60, which is 15. So Joe scored 15 points. Hope this helps.

Answer:

64 Nickels

Step-by-step explanation:

172 coins equal $14.00

It took time to figure this out, I just used a calculator to shimmy down the gap of possibilities, starting here;

100d = $10.00

72n = $3.60

I got closer here;

110d = $11.00

62n =$3.10

I subtracted 2 dimes and added 2 nickels from the previous to get the answer.

108d = $10.80

64n = $3.20

$10.80 + $3.20 = $14.00