Which expression is equivalent to the following complex fraction?
1
1
2
o
x-1
2x
架
0
2
2x-2
O
X
0
2x
X-1

Step step :

-HayabusaBrainly

Answer:

[tex]y=8(0.7)^x[/tex]

Step-by-step explanation:

Next, the battery life decreases by 30% per year. You didn't state if this is linear or exponential, so I'll assume exponential because linear doesn't make much sense in this case..

For an exponential function, the battery life will be decreasing by 30% over the previous year, not over the original. Decreasing by 30% is multiplying by 70%, or just 0.7.

Exponential form:

[tex]y=a(b)^x[/tex]

where a is the original value and b is the percent change.

In your question:

[tex]y=8(0.7)^x[/tex]

The function that represents the battery life y after x years is y = 8(0.7)ˣ.

A quantity grows (or depreciates) exponentially if the increase (or decrease) in the amount is a multiple of the previous amount.

Now it is given that,

Battery life starts = 8 hours

Annual decrease rate = 30% = 0.30

So, battery life after an year = 100% - 30% = 70% = 0.7

Now if battery life y after x years

Annual decrease rate after x years = (0.7)ˣ

Thus battery life, y = 8(0.7)ˣ

Thus, the function that represents the battery life y after x years is y = 8(0.7)ˣ.

Learn more about exponential functions at

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Answer:

Answer is C noumber

Step-by-step explanation:

We know that a combination is a collection of the items where the order doesn't matter. It is a way to calculate the total outcomes of an event where order of the outcomes does not matter. It is denoted by C(n,k) or (n,k) or (n/k).

The formula for the number of combinations of n things taken r at a time is given by :-

C(n,k)=(n/k)=\frac{n!}{k!(n-k)!}C(n,k)=(n/k)=

k!(n−k)!

n!

Hence, C is the right option.

Answer:

the answer is b ok understand

Answer:

number 2 is c, number 3 is c

Answer:

920 pages

Step-by-step explanation:

Divide 13,789 by 15, you should get 919.27 so just round up so you can hold all the cards.  

Answer:

6,543

Step-by-step explanation:

This is my guess ONLY.

Answer:

43 1/2

Step-by-step explanation:

answer will be:

original height plus 3 times 8 7/12 inches

3 times 8 7/12 can be done by converting the mixed number to an improper fraction:

[tex]\frac{3}{1}[/tex] · [tex]\frac{103}{12}[/tex] = [tex]\frac{103}{4}[/tex] = 25 3/4

25 3/4 added to 17 3/4 equals 42 6/4 which is 42 + 1 1/2 = 43 1/2

Answer:

15t+12r

Step-by-step explanation:

you have to do like term like -8t and-7t that is like term so the next like term is 3r and -9r

Answer:

Step-by-step explanation:

.<6 and <3

SOLUTION:  

Interior angles that are non adjacent and lie on

opposite. In the figure, angles <5 and <4 are consecutive interior

angles. sides of the transversal are alternate interior

angles.

<4 and <7

SOLUTION:  

In the figure, angles 1 and 3 are corresponding

angles. Use the Corresponding Angles Postulate:

If two parallel lines are cut by a transversal, then

each pair of corresponding angles is congruent

Answer:

ok so you see the equation at the top... you are going to "plug in" the number in the "in" row to get the "out number

Step-by-step explanation:

example

in: 4

-2(-4)+1

8+1

9

so for the out row under -4 you would put 9

-2(-3)+1

6+1

7

so for the out row under 3 you would put 7

Answer:

...

Step-by-step explanation:

Answer:

Hence, f −1 (x) = x/3 + 2/3 is the correct answer.

Step-by-step explanation:

Verify (f ∘ f−1) (x) = x

(f ∘ f−1) (x) = f [f −1 (x)]

= f (x/3 + 2/3)

⟹ 3(x/3 + 2/3) – 2

⟹ x + 2 – 2

= x

Hence, f −1 (x) = x/3 + 2/3 is the correct answer.

Step-by-step explanation:

m(gradient) =y2-y1/x2-x1

=8-(-1) /4-5

=8+1/-1

=9/-1

=-9

y-y1=m(x-x1)

y-(-1)=-9(x-5)

y+1=-9x+45

y=9x+45-1

y=9x+44(rule)

Inverse>y+44=9x

y+44/9=9x/9

x=y+44/9

Therefore inverse is y=x+44/9

Answer: Neither

Step-by-step explanation: Technically the containers hold no water at all as they hold only the bottles in which the water is actually contained. So the answer I suppose is 'Neither'.

Answer:

c

Step-by-step explanation:

Answer:

23.08

Step-by-step explanation:

Answer:

= 22 is the answer, if I got it wrong I tried to help

Answer:

22

Step-by-step explanation:

Please give BRANIEST and heart!

Answer:

B , there are infinite solutions.

Step-by-step explanation:

If you end an equation with a true statement, such as 0 = 0, then any value of the variable(s) you are solving for will satisfy the equation. This means that there are infinite solutions.

This is karma for doing this to some one else :)

regdcd gvfd vcds xgrcd xre dse dxf crdx vcfx gvf c fcvr fvcrdgbv

Answer:

The slope = 3/4

Step-by-step explanation:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

[tex]m=\frac{6-3}{2-(-2)}=\frac{6-3}{2+2}[/tex]

m = 3/4

Answer:

see explanation

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]

(a)

[tex]4^{9}[/tex] × 4³ = [tex]4^{(9+3)}[/tex] = [tex]4^{12}[/tex]

(b)

[tex]6^{5}[/tex] × 6² = [tex]6^{(5+2)}[/tex] = [tex]6^{7}[/tex]

(c)

[tex]8^{6}[/tex] ÷ 8 = [tex]8^{(6-1)}[/tex] = [tex]8^{5}[/tex]

(d)

[tex]7^{8}[/tex] ÷ [tex]7^{6}[/tex] = [tex]7^{(8-6)}[/tex] = 7²

The midpoint of the sides [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex]  are the points that half way between  [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] respectively.

The option that proves [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] is option 3

Reasons:

The given coordinates of the vertices of rectangle ABCD are;

A(0, 0), B(12, 0), C(12, 6), and D(0, 6)

The midpoint of side [tex]\overline{AB}[/tex] = Point F

The midpoint of side [tex]\overline{CD}[/tex] = Point F

The coordinates of point F is given by the midpoint formula, as follows;

[tex]\displaystyle \mathrm{The \ midpoint \ of \ a \ line \ with \ endpoints \ (x_1, \ y_1) \ and \ (x_2, \ y_2) = \mathbf{ \left(\frac{x_1 + x_2}{2}, \ \frac{y_1 + y_2}{2} \right) }}[/tex]

Which gives;

[tex]\displaystyle \mathrm{The \ coordinate \ of \ F \ the \ midpoint \ of \ \overline{AB} = \mathbf{ \left(\frac{0 + 12}{2}, \ \frac{0 + 0}{2} \right)} =(6,\ 0)}[/tex]

[tex]\displaystyle \mathrm{The \ coordinate \ of \ G \ the \ midpoint \ of \ \overline{CD} = \left(\frac{12 + 0}{2}, \ \frac{6 + 6}{2} \right) =(6,\ 6)}[/tex]

[tex]\overline{FB}[/tex] is parallel to the x-axis, therefore;

Similarly, [tex]\overline{GC}[/tex] is parallel to the x-axis, therefore;

Which gives;

The correct option is that proves [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] is option 3.

By the Midpoint Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6). Then [tex]\overline{FB}[/tex] = 6, and [tex]\overline{GC}[/tex] = 6. Thus [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex]

Learn more here:

https://brainly.com/question/17685913

https://brainly.com/question/17192852

Answer:

proly

Step-by-step explanation:

2 * (2z-9) + 2 * (10z)

4z-18 + 20z

24z - 18

Answer:

22z

Step-by-step explanation:

10+10+2z-9+2z-9= 22z

Answer:

x = 1

Step-by-step explanation:

[tex]\frac{3x-3}{5}[/tex] = [tex]\frac{2x-2}{4}[/tex] ( cross- multiply )

4(3x - 3) = 5(2x - 2) ← distribute parenthesis on both sides

12x - 12 = 10x - 10 ( subtract 10x from both sides )

2x - 12 = - 10 ( add 12 to both sides )

2x = 2 ( divide both sides by 2 )

x = 1

Answer:

the answer is positive.

Step-by-step explanation:

12(-3)(-2)

the 2 negatives cancel out, so you get a positive 6

12(6)

72

positive 72

hope this helped!

mark me brainliest :D

Answer:

I got C&B

Reasoning: just did this test, however the answer might be different for anyone else.

5.9liters and 13.6 liters, and  90 liters and 94 liters represents the same level of precision.

Precision is a number that shows an amount of the information digits and it expresses the value of the number.

Same level of precision refers to degree of significant figures or how many numbers after the decimals.

According to the given question, we have to find the numbers which represent same level of precision.

From the given options,

5.9 liters and 13.6 liters have the same level of precision because there is only one number after the decimal.

And, 90 and 94 have the same level of  precision (no decimal).

Learn more about precision here:

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Answer:

Answer: A

Step-by-step explanation:

(go to attachment to see explanation)

hope this helped :D

Answer:

89.6875

Step-by-step explanation:

you need to find out area of rectangle (length x width) and add area of the triangle (length x width divided by 2)

Answer:

five point zero three five