Consider the table for the exponential function, LaTeX: p\left(x\right)=2^xp ( x ) = 2 x, shown below. Calculate the Average Rate of Change between the interval [2, 6].

Answer:

576

Step-by-step explanation:

a²b²c² = 2² * 3² * 4² = 4 * 9 * 16 = 576

Answer:

[tex]\huge\boxed{Option \ D:f(g(x)) = (x-7)^3}[/tex]

Step-by-step explanation:

[tex]f(x) = x -1\\g(x) = x^3[/tex]

We've to find [tex]f(g(x))[/tex]

Which will be [tex]f(x-7)[/tex]

Putting x in f(x) as x-7

So,

[tex]f(g(x)) = (x-7)^3[/tex]

Step-by-step explanation:

1. 3( x - 5 ) + 2x - 3

= 3x - 15 + 2x - 3

= 5x - 18

2. 4a - 3 ( 4 - a )

= 4a - 12 + a

= 5a - 12

3. -2 ( b - 6 ) + 2

= -2b + 12 + 2

= -2b + 14

= 14 - 2b

4. 6 - 3 ( 3 + x )

= 6 - 9 - 3x

= -3 - 3x

Answer:

0.72

Step-by-step explanation:

5/6 - 1/9 =

(5×9)-(1×6) over (6×9)

= 39/54

=39÷3 over 54÷3

=13/18

Decimal result: 0.72

I asked Google so if this is wrong or unhelpful I'm so sorry.

Answer:

State A had approximately 1,533 more earthquakes than  State B.

Step-by-step explanation:

Earthquake: The term "earthquake" is determined as the surface shaking of the uppermost layer of the earth that often results from the absurd release of specific energy in the "earth's lithosphere" that tends to create "seismic waves". However, the intensity of the earthquake varies time to time and the weak tremor is rarely being noticed as compared to the higher ones.

Answer:

C

Step-by-step explanation: i took the test and got a 100%

Answer:

[tex]x = -8[/tex]

Step-by-step explanation:

We can solve for x by isolating it on one side of the equation.

If we're given the equation [tex]3x + 5 - x = x-3[/tex], we can simplify it down.

First let's combine like terms on the left side.

[tex]2x + 5 = x-3[/tex]

Now subtract x from both sides:

[tex]x + 5 = -3[/tex]

Subtract 5 from both sides:

[tex]x = -8[/tex]

Hope this helped!

Answer:

-8

Step-by-step explanation:

Simplify to 2x + 5 = X - 3

Subtract and you end up with x = -3 - 5

Step-by-step explanation:

5/12, 2/9, 1/6, 1/2 thats the answer

Answer:

2/9=0.22

1÷3=0.33

5÷12=0.41

1÷6=0.16

Step-by-step explanation:

5/12

1/3

2/9

1/6

the number that can exactly 19 is 38

Answer:

a :)

Step-by-step explanation:

48 ft

A  = 144ft² = l²

144 = l²

l = √144

l = 12 ft

P = 4l

= 4×12ft

= 48 ft

Answer:

4,5,6 are the three consecutive numbers. 16, 25 and 36 are their squares.

Step-by-step explanation:

Let the three consecutive numbers be x, (x+1), (x+2)

Now, the squares of these three numbers are  [tex]x^{2} ,(x+1)^{2} ,(x+2)^{2}[/tex]

Sum = 77

∴by the problem ,

[tex]x^{2} +(x+1)^{2}+(x+2)^{2} = 77\\x^{2} +(x^{2} +2x+1)+(x^{2}+4x +4) = 77\\x^{2} +x^{2} +2x+1+x^{2} +4x +4 = 77\\3x^{2} +6x+5 = 77\\3x^{2} +6x = 77-5\\3x^{2} + 6x = 72\\3x^{2} +6x-72= 0\\[/tex]

{Taking 3 common }

[tex]x^{2} +2x- 24 = 0\\[/tex]

{By factorization}

[tex]x^{2} +2x- 24 =0\\ x^{2} +6x-4x-24=0\\x(x+6)-4(x+6)=0\\(x+6)(x-4)=0\\[/tex]

Therfore,

[tex]x= -6,4\\[/tex]

X can't be negetive

∴ [tex]x =4\\x+1=5\\x+2=6[/tex]

The squares of the three consecutive numbers are 16, 25, 36

The three consecutive numbers whose sum is 77 are 4, 5, 6

Answer:

The correct answer is:

the amount of difference expected just by chance (b)

Step-by-step explanation:

Standard error in hypothesis testing is a measure of how accurately a sample distribution represents a distribution by using standard deviation. For example in a population, the sample mean deviates from the actual mean, the mean deviation is the standard error of the mean, showing the amount of difference between the sample mean and the actual mean, occurring just by chance. Mathematically standard error is represented as:

standard error = (mean deviation) ÷ √(sample size).

standard error is inversely proportional to sample size. The larger the sample size, the smaller the standard error, and vice versa.

Answer:

x = 5.25

Step-by-step explanation:

subtract 7/10 from both sides of the equation

-8/9x +7/10 - 7/10 = -119/30-7/10

-8/9x = -119-21/30

-8/9x = -140/30

the negative signs cancels out and the right hand side reduced to the lowest tern

8/9x = 14/3

multiply both sides by the reciprocal of 8/9 which is 9/8

9/8 * 8/9x = 14/3 * 9/8

x = 21/4

x = 5.25

Answer:

1. x+(5+7)

2.x+ (8-2)

3. (x+8)

4. x-8

5. 8-x

6. 5-n

7.x+x

8. x+ (8-2)

9. n+5

10. n-5

Step-by-step explanation:

Step-by-step explanation:

Hey, there!!

Let's look in your question,

Firstly Mr.Ingerson was in Ghana and bought it in 35000 cedi for a djembedrum.

At that time 1 US dollar= 7000 Cedi.

He paid 35000 cedi.

Us dollar for 35000 cedi = 35000/7000 $.

So, he had bought it in $5.

now,

At present,

The value of 1$ is 5.79 cedi.

As he bought it on same value,

5$ is equal to 5.79×5

= 28.95 cedi.

{ here, as it told that it was bought in same value its value is $5 only but, as the value of $ will be changed into 5.79}.

Hope it helps...

Answer: 5.044 0z is not pineapple juice

Step-by-step explanation:

total amount of mixed fruit juice: 6.45 oz (oz stands for ounce)

pineapple juice: 1.406 oz

total - pineapple juice=not pineapple juice

6.45 - 1.406=5.044 oz

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Option a is right

Step-by-step explanation:

Given that a triangle ABC is reflected in triangle A'B'C'

Here reflection is done on a line

If you imagine the line as a mirror then ABC will have image on the mirror line as A'B'C'

Recall that in a mirror the object and image would be equidistant from the mirror and also the line joining the image and object would be perpendicular to the mirror

But note that corresponding images will only be perpendicular bisector to the line of reflection,

So A and A' only will be corresponding so AA' will have mid point on line

Option 1 is right

Answer:

Its A

Step-by-step explanation:

BECAUSE IM RIGHT

Answer:

She subtracted the GCF from the second term in the expression instead of dividing.

Step-by-step explanation:

Given the expression 32ab-8b, to find the common greatest factor, we will bring out a function that us common to both terms 32ab and 8b. To do that, we need to first find their individual factors as shown:

32ab = (2×2×2)×2×2×a×(b)

8b = (2×2×2×b)

From both factors, the common terms are the values in parenthesis i.e 2×2×2×b = 8b

Hence the GCF of the expression 32ab - 8b is 8b. On factoring out 8b from the expression we will have;

= 32ab - 8b

= 8b(32ab/8b - 8b/8b)

= 8b(4a-1)

Comparing the gotten equation with Venita's own, 8b(4a-0), we can say that she correctly factored out the GCF but her error was that she subtracted 8b from the second term of the expression instead of dividing by 8b. 8b-8b is what gives her 0 making her expression wrong. She should have divided her second term also by 8b to have 8b/8b which results in 1 instead of 0 that venita got.

Answer:b

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

3(-n+4)+5n=2n

Distribute

-3n +12 +5n = 2n

2n+12 = 2n

Subtract 2n from each side

12 = 0

This is never true so there are no solutions

Answer:

B. No Solution

Step-by-step explanation:

First, you'll want to distribute 3 through the parentheses (in other words, multiple the parentheses).

[tex]-3n + 12 + 5n = 2n[/tex]

Next, you collect the like terms, in this case, the like terms are -3n and 5n.

[tex]2n + 12 = 2n[/tex]

Finally, you will cancel equal terms on both sides of the equation (which is the 2n).

[tex]12 = 0[/tex]

This makes the statement false for any value of n. Meaning that your answer is B, no solution.

Answer:

Step-by-step explanation:

What we know

total sum of angles = 540 deg

3/2 b cam also be written as 1.5b degrees.

So 1.5b + (b+45) + (2b - 90) +90 = 540

Step 1 -- get rid of parenthesis

         1.5b + b + 45 +2b -90 +90 =540

Step 2 -- combine the like expressions

         4.5b + 45 = 540

Step 3 -- subtract 45 from both the sides

         4.5b = 495

Step 4 -- divide 4.5 from both the sides

         b = 110  ----- not the right answer

Thats not right okay im sorry

but i guess if it is not 110 it should be 100, 90 etc.

90 = b is correct

Perimeter = a + b + c = 30

Area = 1/2 x a x b = 30

Multiples of 30: 2, 3, 5, 6, 10, 12, 15

For perimeter c = 30- (a+b)

C= sqrt( a^2 + b^2)

Using the possible combinations of the above:

5 and 12:

C = sqrt(5^2 + 12^2) = 13

5 + 12 + 13 = 30 for the perimeter

Area = 1/2 x 5 x 12 = 30

The sides are 5, 12 and 13 cm

Answer:

12 cm, 5 cm,  13 cm

Step-by-step explanation:

Sides of triangle:

Perimeter:

Area:

As per Pythagorean theorem, side c= √(a²+b²):

Considering ab = 60

Again using ab= 60 to find out sides:

Solving the quadratic equation, its positive root is:

Then we get the rest:

Answer: show your work and give a clear and understanding explination use a caculator and ask for extra credit work and extra help

Step-by-step explanation:

* make sure to give a word for word explinations and make sure your answer is clear and understanding. If you arent sure wether your answer is correct or not ask for extra credit work and show your work. Try using a caulator

Reason 1:  Given

We basically just restate the given information exactly word for word (symbol for symbol). It may seem redundant, but imagine this proof is something you give to your friend. So you want the proof to be independent and on its own.

=====================================

Reason 2: Addition Property of Equality

We're adding [tex]m \angle MON[/tex] to both sides of the first equation mentioned in statement 1.

=====================================

Reason 3: Substitution

The [tex]m\angle MON[/tex] on the right hand side is replaced with [tex]m\angle IKH[/tex]. This replacement is valid because of the second equation in statement 1.

=====================================

Reason 4: Angle Addition Postulate

This is the idea where we can glue two smaller angles to form a larger angle. Or we can go in reverse to break up a large angle into smaller pieces. This is similar to the segment addition postulate.

=====================================

Reason 5: Substitution

Statement 3 says that LOM+MON = JKI+IKH. Statement 4 says LOM+MON = LON. So this must mean LON = JKI+IKH. Then we use another substitution to say LON = HKJ

Answer:

C. 46, D. 32

Step-by-step explanation:

Each term is obtained by adding 4 to a multiple of 7.

Subtract 4 from each choice:

A. 32

B. 20

C. 42

D. 28

Only 42 and 28 are multiples of 7, so the answer is:

C. 46, D. 32

Answer: OPTION C AND D

Step-by-step explanation:

Plug all the numbers given into the expression of sequence in order to find out which number fits in the sequence.

A. 36

an=7n+4

36=7n+4

32=7n

n=32/7

INCORRECT. It is a fraction and it should be integer when showing which term is it in the sequence. (i.e. the first term, second term)

B. 24

an=7n+4

24=7n+4

20=7n

n=20/7

INCORRECT. Same as the reason above, it is a fraction and it should be integer when showing which term is it in the sequence. (i.e. the first term, second term)

C. 46

an=7n+4

46=7n+4

42=7n

n=6

CORRECT. It is a integer.

D. 32

an=7n+4

32=7n+4

28=7n

n=4

CORRECT. It is a integer.

Hope this helps!! :)

Please let me know if you have any question

Answer:

  take your pick. Each has its own reason.

Step-by-step explanation:

As with a lot of "doesn't belong" problems, the one that is different depends on your criteria. In the attached figure, each one "doesn't belong" for a different reason. Those reasons are listed below each number line.

__

I might choose the lower left: "addition, not subtraction", as it is the only one with arrows in the same direction. That makes its difference from the others more obvious, perhaps.

the answer is 235 cubic meters

Answer:

V = 240 m^3

Step-by-step explanation:

The volume of a triangular prism is

V = Bh  where B is the area of the base and h is the height

B = the area of the triangular base

B = 1/2 bh

B = 1/2 *5*12

B = 30 m^2

The volume is

V = 30 * 8

V = 240 m^3

Answer:

Hey there!

1 4/9x+y=2

13x+9y=18

Let me know if this helps :)

The Answer is B.

because

1 4/9x+y=2

13x+9y=18

Hope this helps!

The absolute value is the distance the number is from zero. For example, the absolute value of -4 is 4 and the absolute value of 4 is 4. Also |-24| is 24.

The absolute value of -9 is 9. 2 times 9 is 18.

The absolute value of -4 is 4. 4 times 4 is 16.

The absolute value of 1 is 1. 1 times 1 is 1.

The absolute value of 1 is 11. 11 times 11 is 121.

The absolute value of -2 is 2. 9 times 2 is 18.

  ━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

The opposite of a number is the difference it is from zero but on the other side (opposite sign). For example, the opposite of -5 is 5, and the opposite of 2 is -2.

11 is opposite of -11.

-8 is opposite of 8.

31 is opposite of -31.

-1 is opposite of 1.

-17 is opposite of 17.

  ━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

♡ Hope this helped! ♡

❀ 0ranges ❀

Question 7

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

Work Shown:

angle B = angle D = 56

angle C = angle F = 64

The missing angle A adds with B and C to get 180

A+B+C = 180

A = 180-B-C

A = 180-56-64

A = 60

Since angles B and D are congruent, and C and F are congruent, this must mean angle A = angle E. I'm using the angle angle (AA) similarity rule.

angle E = angle A

3x+15 = 60

3x = 60-15

3x = 45

x = 45/3

x = 15

Side note: I'm not sure why your teacher marked angle E as the same as angles C and F.  They should have used another angle marker to indicate that angles A and E are the same.

================================================

Question 8

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

Work Shown:

Triangle ABC is congruent to triangle EDF. The order is important. We have A first, then B, then C for ABC. Also, we have E first, then D, then F for EDF.

Therefore, we have these three pairings

We'll first need angle C

A+B+C = 180

C = 180-A-B

C = 180-42-108

C = 30

which we'll then solve for x

angle F = angle C

4x-4 = 30

4x = 30+4

4x = 34

x = 34/4

x = 8.5

which doubles to

2x = 2*8.5

2x = 17