Ayden's monthly bank statement showed the following deposits and withdrawals:
-−$21.78, -−$26.26, -−$91.08, $63.64, $100.54
If Ayden's balance in the account was $40.85 at the beginning of the month, what was the account balance at the end of the month?

Answer:

Step-by-step explanation:

If you plot these points on a graph, you would see that this is definitely a line. Let's find the slope of the line first:

[tex]m=\frac{2-1}{6-5}=1[/tex] (I used the last 2 coordinates on the table because I don't like negatives; and since the slope is the same for the whole entire line, it doesn't matter which points you pick to go into your slope formula)

And then use that slope and any other point in the table to write the equation. I am going to use (4, 0), since I like the 0 (less work!)

In point-slope form:

y - 0 = 1(x - 4) and

y = x - 4

That's the function rule (aka equation) for the table.

To be honest, I don't think it has anything to do with the exponent part at all. Instead, I think it has to do with the fact that integers are inherently easier to grasp compared to fractions (which is exactly what rational numbers are).

For instance, it's much easier to say 2+3 = 5 than it is to say 1/2 + 1/4 = 3/4

So going back to the exponent example, it's easier to say

x^2*x^3 = x^(2+3) = x^5

than it is to say

x^(1/2)*x^(1/4) = x^(1/2+1/4) = x^(3/4)

So that's my opinion as to why rational exponents are more tricky to grasp compared to integer exponents. Of course, everyone learns math differently so maybe some find fractions easier than others.

Step-by-step explanation:

cos(90) = 0

around this point the cos function "mirrors" with opposite signs. cos(<90) is positive and cos(>90) is negative.

but |cos(90-a)| = |cos(90+a)| for 0 <= a <= 90

75 = 90 - 15

105 = 90 + 15

so, a = 15

and because of

|cos(90-a)| = |cos(90+a)| for 0 <= a <= 90

cos (90-15) = cos(75) = -cos(90+15) = -cos(105)

Answer:

Step-by-step explanation:

SABC= 1/2 AH.BC = 1/2 .2.5 = 5

Ta co: HC = 5 – BH

Mat khac: AH2 = HB.HC  22 = HB(5-HB)  HB = 4 hoac HB = 1

Ta co cong thuc: AB2 = HB.BC

AC2 = HC.BC

Voi HB = 4 => HC = 1. Vay ta co: AB = 2√5 va AC = √5

Voi HB = 1 => HC = 4. Vay ta co: AB = √5 va AC = 2√5

Answer: 7m⁵ -3m³ - 3

Working:

= (6m⁵ + 3 - m³ - 4m) -(-m⁵ + 2m³- 4m +6)

= 6m⁵ + 3 - m³ - 4m +m⁵-2m³+4m - 6

= 6m⁵ + m⁵-m³ -2m³ -4m + 4m - 6 +3

= 7m⁵ -3m³ - 3

Answered by Gauthmath must click thanks and mark brainliest

Answer : -5a² + 10a

It was way easy ikr ~w~

Answer:

-5a2+10a

Step-by-step explanation:

distribute

-5a(a-2)

-5a2+ 10

Answer:

22.08 ft^2

Step-by-step explanation:

First find the area of the full circle

A = pi r^2

The diameter is 15 so the radius is 1/2 (15) = 7.5

A = (3.14) (7.5)^2

   =176.625

45 degrees is  a fraction of a circle which is 360 degrees

45/360 = 1/8

Multiply the area of the circle by this fraction

1/8 (176.625) =22.078125

Rounding to the nearest hundredth

22.08

Answer:

22.08 ft2

Step-by-step explanation:

Simon

C = 4n + 1

Shania

C = 3n + 4 + n -3

C = 4n + 1

Tate

C = (6n + 1) + (-2n)

C = 6n + 1 - 2n

C = 4n + 1

Navdeep

C = 2(2n + 3) -5

C = 4n + 6 - 5

C = 4n + 1

Therefore all of them are equivalent.

Answered by Gauthmath must click thanks and mark brainliest

Answer:

8^18

Step-by-step explanation:

We know that a^b ÷ a^c = a^(b-c)

8^15÷8^−3

8^(15 - -3)

8^(15+3)

8^18

Answer:

B = multiply both sides by 2y+1

Step-by-step explanation:

Answer:

B. multiply both sides by the equation 2y + 1

Answer:

312 in^2

Step-by-step explanation:

Yet again, not the best way but let's add up all the sides...

2(24+96+36) = 2(156) = 312 in^2

Hope this helped!

Answer:

E. 7x

Step-by-step explanation:

3x plus 4x is equal to 7x because they both have the same terms and when added cannot the X of 3x and 4x cannot be joined together .

So they remain the same.

(e) 12x

(f) 12x²

(g) 12x²

(h) 1x

(I) 2x²

(J) 2x²

(K) -10x

(L) -20x

(M) 6x²

(N) 20x²

(O) -15x²

(P) -12x³

Your answers were wrong so i did all of them

Quick tip the power comes only when you multiply and not when you add

For example x + x = 2x

x × x = x²

All the answers

Must click thanks and mark brainliest

The choices :

Three

B , E , D

Answer:

37.15 pounds left

Step-by-step explanation:

Add the two pound values

1.3+1.75= 3.05

Subtract it from the total number of pounds in the bag

40.2-3.05

=37.15

Step-by-step explanation:

4m+2g=p

2g=p-4m

g=(p-4m)/2

Answer:

g = p/2 - 2m

Step-by-step explanation:

4m +2g = p

Subtract 4m from each side

4m -4m +2g = p-4m

2g = p -4m

Divide each side by 2

2g/2 = p/2 - 4m/2

g = p/2 - 2m

520 x 12 months x 4 years = 24960

24960 + 3000 deposit = 27,960 total paid.

27,960 - 13,000 = 14,960 total interest paid

Answer:

197 is the missing side of the triangle

Answer:

8 x (5 - 2) = ( 8 x 5) - ( 8 x 2)

Step-by-step explanation:

8 x (5 - 2) = ( _ x 5) - ( _ x 2)

Distribute

8 x (5 - 2) = ( 8 x 5) - ( 8 x 2)

Answer:

DE=27

EF=13

DG=13

GF=27

Step-by-step explanation:

12x+3=5x+17

12x-5x=17-3

u'll get 14 then simply it by the numbe of X u'll get 2 then replace the X with the number

Answer:

correct option is A

Step-by-step explanation:

mark me

Answer:

a(n)= 1/2 * (-8) n-1

Step-by-step explanation:

In a geometric sequence, the ratio between successive terms is constant. This means that we can move from any term to the next one by multiplying by a constant value. Let's calculate this ratio over the first few terms:

\dfrac{-256}{32}=\dfrac{32}{-4}=\dfrac{-4}{\frac12}=\blue{-8}  

32

−256

​

=  

−4

32

​

=  

2

1

​

−4

​

=−8start fraction, minus, 256, divided by, 32, end fraction, equals, start fraction, 32, divided by, minus, 4, end fraction, equals, start fraction, minus, 4, divided by, start fraction, 1, divided by, 2, end fraction, end fraction, equals, start color #6495ed, minus, 8, end color #6495ed

We see that the constant ratio between successive terms is \blue{-8}−8start color #6495ed, minus, 8, end color #6495ed. In other words, we can find any term by starting with the first term and multiplying by \blue{-8}−8start color #6495ed, minus, 8, end color #6495ed repeatedly until we get to the desired term.

Let's look at the first few terms expressed as products:

nn 111 222 333 444

h(n)\!\!\!\!\!h(n)h, left parenthesis, n, right parenthesis \red{\dfrac12}\cdot\!\!\!\left(\blue{-8}\right)^{\,\large0}\!\!\!\!\!\!  

2

1

​

⋅(−8)  

0

start color #df0030, start fraction, 1, divided by, 2, end fraction, end color #df0030, dot, left parenthesis, start color #6495ed, minus, 8, end color #6495ed, right parenthesis, start superscript, 0, end superscript \red{\dfrac12}\cdot\!\!\!\left(\blue{-8}\right)^{\,\large1}\!\!\!\!\!\!  

2

1

​

⋅(−8)  

1

start color #df0030, start fraction, 1, divided by, 2, end fraction, end color #df0030, dot, left parenthesis, start color #6495ed, minus, 8, end color #6495ed, right parenthesis, start superscript, 1, end superscript \red{\dfrac12}\cdot\!\!\!\left(\blue{-8}\right)^{\,\large2}\!\!\!\!\!\!  

2

1

​

⋅(−8)  

2

start color #df0030, start fraction, 1, divided by, 2, end fraction, end color #df0030, dot, left parenthesis, start color #6495ed, minus, 8, end color #6495ed, right parenthesis, squared \red{\dfrac12}\cdot\!\!\!\left(\blue{-8}\right)^{\,\large3}  

2

1

​

⋅(−8)  

3

start color #df0030, start fraction, 1, divided by, 2, end fraction, end color #df0030, dot, left parenthesis, start color #6495ed, minus, 8, end color #6495ed, right parenthesis, cubed

We can see that every term is the product of the first term, \red{\dfrac12}  

2

1

​

start color #df0030, start fraction, 1, divided by, 2, end fraction, end color #df0030, and a power of the constant ratio, \blue{-8}−8start color #6495ed, minus, 8, end color #6495ed. Note that this power is always one less than the term number nnn. This is because the first term is the product of itself and plainly 111, which is like taking the constant ratio to the zeroth power.

Thus, we arrive at the following explicit formula (Note that \red{\dfrac12}  

2

1

​

start color #df0030, start fraction, 1, divided by, 2, end fraction, end color #df0030 is the first term and \blue{-8}−8start color #6495ed, minus, 8, end color #6495ed is the constant ratio):

a(n)=\red{\dfrac12}\cdot\left(\blue{-8}\right)^{\large{\,n-1}}a(n)=  

2

1

​

⋅(−8)  

n−1

a, left parenthesis, n, right parenthesis, equals, start color #df0030, start fraction, 1, divided by, 2, end fraction, end color #df0030, dot, left parenthesis, start color #6495ed, minus, 8, end color #6495ed, right parenthesis, start superscript, n, minus, 1, end superscript

Note that this solution strategy results in this formula; however, an equally correct solution can be written in other equivalent forms as well.

Answer:

8x^2 - 4x - 5

See the steps below for better explanation:

Answer:

11m

I did it by Geometry and used the scale : 1cm represents 5m

Answer:

(x+8)(x+7)

Step-by-step explanation:

Find two numbers that add to

b

and mulitply to

a*c

so find two numbers that add to

15

and mulitply to

56

Those two numbers are 8 and 7

therefore the answer is

(x+8)(x+7)

Answer:

it's A

Step-by-step explanation:

the two triangles make up a parallelogram

Answer:

Sorry if it is not clear enough

y............. xnxnxnxnxnccncncncnnncncjcjnf

Answer:

2xy^2

Step-by-step explanation:

8/4=2

x^3/x^2=x

y^5/y^3=y^2

Answer:

2xy^2

Step-by-step explanation:

First, 8/4 is 2.

2x^3y^5 / 4x^2y^3

Then, we can bring the x^2 up. It becomes the -x^2. Combined with the x^3, we have x. Finally, we can bring the y^3 up, where it becomes -y^3. Combined with the y^5, we get y^2.

Our final answer is 2xy^2.