The function g(x) represents the amount of money in a savings account x years after it is opened.

What does the statement, g(10) - g(9) = $5,000, represent?
A.
The initial balance of the account was $5,000.

B.
Between nine and ten years after opening the account, the balance shrank by $5,000.

C.
Between nine and ten years after opening the account, the balance grew by $5,000.

D.
Ten years after opening the account, the balance was $5,000.

Answer:

D.) rational numbers are associative under subtraction

Step-by-step explanation:

rational numbers are closed under subtraction

↳ TRUE

zero is the identity for addition of rational numbers

↳ TRUE

subtraction is the inverse of the addition

↳ TRUE

rational numbers are associative under subtraction

↳ FALSE

Answer:

B. 100 pi units squared

Step-by-step explanation:

Find the surface area of a sphere with radius 5 using the formula SA=4pir²

Leave answer in terms of π = pi

From the question

The formula for the Surface Area if a square = 4 × pi × r²

r = 5

Hence,

Surface Area of a Sphere = 4 × pi × 5²

= 100 pi units squared

Option B is the correct option

Answer:

Percentage of Karaks= 40%

Step-by-step explanation:

Giving the following information:

The total number of Karaks involved in flower cultivation is 1000.

Total population= 2,500

To calculate the percentage of Karaks, we need to use the following formula:

Percentage of Karaks= (1,000 / 2,500)*100

Percentage of Karaks= 40%

Answer: 2 / 15

Step-by-step explanation:

3 red / 10 total

4 white / 9 total

3/10 * 4/9 = 12/90 = 2/15

Answer:

1) Given

2) Isosceles triangle's 2 sides are equal. Vertex angle is M. So, ML = MN

3) Given

4) T divided LN into to equal parts.

5) Common

6) SSS

Answer:

The coordinate of T is -3:2

Answer:

T' (3, -2) i believe.

Step-by-step explanation:

hope this helps!

Answer:

3.81238067 × 10-46 m4 kg2 s-4 K-2

Step-by-step explanation:

Answer: I'm not to sure about this question its kind of confusing.

Step-by-step explanation:

Answer:

Infinity

Step-by-step explanation:

The given parameters are;

The mean of the data, μ = 124

The mean absolute deviation = 38

The mean absolute deviation is given as follows;

[tex]Mean \ absolute \ deviation = \dfrac{\sum \left | X - \mu \right |}{N} = 38[/tex]

Where;

μ = Mean

X = Score

N = The number of scores

Therefore;

[tex]N \times 38 = \sum\limits_{i = 1}^N \left | X - \mu \right |} = \sum\limits_{i = 1}^N \left | X -124 \right |}[/tex]

When there are an infinite number of terms, N = ∞, the greatest possible number within the mean absolute deviation is therefore also infinite

[tex]\infty \times 38 = \sum\limits_{i = 1}^{\infty} \left | X - \mu \right |} = \infty[/tex]

[tex]Greatest \ possible \ value \ for \left | X - \mu \right |} = \infty[/tex]

Answer:

-3

Step-by-step explanation:

4x - 5 + 2(x - 3) = 12x + 7

4x - 5 + 2x - 6 = 12x + 7

4x + 2x - 5 - 6 = 12x + 7

6x - 11 = 12x + 7

collect like terms

6x - 12x = 7 + 11

-6x = 18

-x = 3

x = -3

Answer:

It Would be 14 units.

Step-by-step explanation:

Have a Great Day.

:)

Will accept Brainliest

Answer:

2 roses left over

Step-by-step explanation:

72/ 5 = 14.4

so we know for sure that we can put 14 roses on each vase  but no mor than 14 on each vase  Some will be  left left over

14x5 = 70

  72-70 = 2  (2 roses left over)

Answer:

1/4

Step-by-step explanation:

Answer:

7/32

(btw thats the simplified version....look at the bottom for non-simplified if you didnt need it simplified)

Step-by-step explanation:

first count how many squares there are in total

its 8 by 8 so in total there are 64!

now there is the green triangle.....

count all the whole squares in it = 10

now count all the half squares (little triangles in it)= 8

Now if you put those little triangles together it would make one small unit square so it is 4 of all

10 + 4 = 14

So there is a Total of 14 unit squares in the green triangle

Fraction Time......

now lets take 14/64 and simplify it

that would be 7/32

We cant make it any more simplified now if you werent looking for the simplified version the your answser would be 14/64

Answer:

its d

Step-by-step explanation:

if im wrong sorry i tried

Answer:

y = 2x - 3

Step-by-step explanation:

Since the line is going 2 down and 1 left. The slope is 2.

The line crosses the y-intercept at -3.

y = 2x - 3

Answer:

m = 2

Step-by-step explanation:

You have to use the slope formula and insert your points into the formula. Your formula should have turned into 0 - (-3)/1.5 - 0. If you simplfy your equation your get m(slope)=2.

Hope this helps! :D

-Luna

Answer:

x=8

Step-by-step explanation:

distribute 7(4+x)

28+7x=84

84-28=56

56/7=8

Answer:

P(blue)=1/2 50 marbles are blue

Answer:

Question 1. x>4

Question 2.  x<9

Answer:

The answer in C

Step-by-step explanation:

if you add all the numbers and divide by 25 you get 17

Answer:

C

Step-by-step explanation:

Answer:

The length of BW is [tex]105\sqrt{2}[/tex], or about 148.49.

Step-by-step explanation:

For this problem, we will assume that the figure is a square. We will call the figure "Figure BOWL".

Because figure BOWL is a square, we know that the lengths of each sides of the square are equal, so the length of each side is 105.

Notice that the BW, OB, and WO make a triangle. We'll call it triangle BOW. Since figure BOWL is a square, we know that angle BOW is 90°, and so triangle BOW is a right triangle.

Since triangle BOW is a right triangle, we can solve for BW using the Pythagorean theorem, [tex]a^{2} + b^2 = c^2[/tex]. "a" and "b" are the legs of the triangle, while "c" is the hypotenuse of the triangle.

In triangle BOW, the legs are OB and WO, while the hypotenuse is BW.

Plug in the values for the equation and solve.

[tex]a^2 + b^2 = c^2[/tex]

[tex]OB^2 + WO^2 = BW^2[/tex]

[tex]105^2 + 105^2 = BW^2[/tex]

[tex]11,025 + 11,025 = BW^2[/tex]

[tex]22,050 = BW^2[/tex]

[tex]\sqrt{22,050} = BW[/tex]

We can either use the estimated value, or the exact simplified value of [tex]\sqrt{22,050}[/tex].

Here is the exact simplified value:

[tex]\sqrt{22,050} = \sqrt{25 * 882} = \sqrt{25 * 9 * 98} = \sqrt{25 * 9 * 49 * 2} = \sqrt{5^2 * 3^2 * 7^2 * 2} = (5 * 3 * 7)\sqrt{2} = 105\sqrt{2}[/tex]

BW = [tex]105\sqrt{2}[/tex]

For the estimated value, just use a calculator:

[tex]\sqrt{22,050}[/tex] ≈ 148.49

BW ≈ 148.49

Answer:

4

Step-by-step explanation:

the area of a square = length²

16 = length²

find the square root of both sides of the equation

length = 4

Answer:

x=-10

Step-by-step explanation:

2(x+3)=x-4

2x+6=x-4

2x-x=-6-4

x=-10

Please mark me brainliest if it helped

2(x+3)=x-4

2x+6=x-4

-----------------

2x+6=x-4

2x+6=x-4-6

Subtract the numbers

2x=x-10

2x-x=x-10-x

Simplify

Combine like terms

Multiply by 1

Combine like terms

----->>> x= - 10

x equals -10

Answer:

f² - 11f - 12

Step-by-step explanation:

(f-12)(f+1) = f² + 1f - 12f - 12

Answer: 11y

Step-by-step explanation:

When you add 6y and 5y that equals 11y <3

Answer:

11Y goes in the highlighted section.

Step-by-step explanation:

Since the Xs was crossed out you don't have to worry about the X going tin the highlighted area.

Then add the Ys together.

I can't really explain anymore, but i hope this helps!!!!

Then your final answer would be y=6. :)

Answer:

27

Step-by-step explanation:

Multiply 90 by 0.3 and you have your answer

Answer: I think it is 39.25

Step-by-step explanation:

10/2=5

5^2=25

25*3.14=78.5

78.5/2=39.25