Which graph best represents an exponential function?
O A.
O B.
C.
D.

Answer:

19683

Step-by-step explanation:

1. find the ratio

this is geometric so..

54÷18=3

18÷6=3

2. set up the problem

3(3)^9-1

3^8= 6561

6561(3)=19683

The 9th term of a sequence is 39, 366.

In mathematics, a sequence known as a geometric progression (GP) is one in which each following term is generated by multiplying each preceding term by a constant integer, known as a common ratio. This progression is sometimes referred to as a pattern-following geometric sequence of numbers.

We have the series: 6, 18, 54, ...

as, the series in Geometric Progression.

So, the common ratio = 18/6 = 3

and, 54/ 18= 3

Using the formula

[tex]a_n[/tex] = a[tex]r^{n-1[/tex]

So, for n= 9

[tex]a_9[/tex] = a[tex]r^{9-1[/tex]

[tex]a_9[/tex] = a[tex]r^{8[/tex]

[tex]a_9[/tex] = 6 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3

[tex]a_9[/tex] = 39,336

Learn more about geometric Progression here:

https://brainly.com/question/4853032

#SPJ7

Answer:

48 soldiers leave the place.

Step-by-step explanation:

hope it helps.

Answer:

n > 62

Step-by-step explanation:

All values in the set are greater than 62.

Answer: n > 62

Answer:

Top left corner

Step-by-step explanation:

Answer:

Step-by-step explanation:

15% of 400

15/100*400

15*400/100

6000/100

60

therefore ur answer is 60

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{15}{100} \times 400 \\ =15 \times 4 \\ = 60 [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

1/12

Step-by-step explanation:

3/36=1/12

Answer:

-1 to 1

Step-by-step explanation:

The correlation Coefficient gives the degree of relationship between two variables while also giving an hint about the type of relationship between them, (positive or negative). Correlation Coefficient could take any value bwuqwen - 1 and 1. With values closer to - 1 or 1 indicating a strong relationship between the variables, Coefficient of 0 means no relationship and a negative value means negative relationship while a positive value plies a positive relationship.

Answer:

f(-2) =3

Step-by-step explanation:

f(x) = 9+3x

Let x=-2

f(-2) = 9+3(-2)

      = 9-6

      = 3

f ( -2 ) = 9 + 3( - 2 )

f ( -2 ) = 9 - 6

f ( -2 ) = 3

Answer:

The approximate standard deviation of the sampling distribution of the mean for all samples of size n is [tex]s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}[/tex]

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean life expectancy of a certain type of light bulb is 945 hours with a standard deviation of 21 hours

This means that [tex]\mu = 945, \sigma = 21[/tex].

What is the approximate standard deviation of the sampling distribution of the mean for all samples of size n?

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}[/tex]

The approximate standard deviation of the sampling distribution of the mean for all samples of size n is [tex]s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}[/tex]

Answer:

n = 15

Step-by-step explanation:

5/2 = n/6                 Multiply both sides by 6

6 * 5/2 = 6 n/6

30/2   = n

n = 15

Answer:

1/2

Step-by-step explanation:

According to pythagoras theorem;

(sinx)²+(cosx)² = 1

Given that sinФ = √3/2

Substitute into the formula

(√3/2)²+(cosx)² = 1

3/4+(cosx)² = 1

(cosx)² = 1 - 3/4

(cosx)²  = 1/4

cos x = √1/4

cos x = 1/2

Hence the value of cosФ is 1/2

Answer:

Step-by-step explanation:

common factor of 10 and 20 is 2 and 10 because 2 and 10 are the numbers which didides both the number exactly.

Answer:

not sure lol but, like it up

Step-by-step explanation:

Answer:

555

Step-by-step explanation:

Answer:

4 + x = 12

x = 8

Step-by-step explanation:

4 more than a number is 12

4 + x = 12

x = 8

Answer:

ab=ab+a

We need to check the following:

(ab)c=a(bc) or not

LHS

(ab)c=(ab+a)c

=(ab+a)c+(ab+a)

=abc+ac+ab+a

RHS

a(bc)=a(bc+b)

=a(bc+b)+a

=abc+ab+a

as LHS ≠ RHS, the operation is not associative

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

You need to show the statements or I can't help.

Answer:

3/6=4/8

Step-by-step explanation:

2/6=3/8

2*4 6*4=8/24

3*3 8*3=9/24

2/6 does not equal 3/8

3/6=4/8

3*4 6*4= 12/24

4*3 8*3=12/24

3/6=4/8 is true

Answer:

yes the answer is 456

Step-by-step explanation:

Additive Inverse of -33

—————————————————

[tex]\purple{\boxed{\boxed{\tt\pink{➢33}}}}[/tex]

»The opposite of the given integer is called its additive inverse. The sum of a number and its additive inverse is zero. For example, the additive inverse of -4 is 4, so when you add the two integer they sum will be zero.

Answer:

3

Step-by-step explanation:

1.35n is 4.05

4.05÷1.35 is 3

n is 3

Answer:

3 : 1

Step-by-step explanation:

4.05 : 1.35 can be written as [tex]\frac{4.05}{1.35}[/tex] in fraction.

To write 4.05 : 1.35 in "n : 1" ratio format , you need to make the denominator of the fraction as 1.

[tex]=> \frac{4.05 \div 1.35}{1.35 \div 1.35}[/tex]

[tex]=> \frac{3}{1}[/tex]

[tex]=> \boxed{3 : 1}[/tex]

Solution :

It is given that :

Casey boarded a Ferry wheel at position of 3 'o' clock.

The angular speed of the Ferry wheel = 5.6 radians per minute

The radius of the Ferry wheel = 50 feet

The height of the center wheel of the Ferry from the ground = 55 feet

Let the number of minutes be = t

a). The expression of the varying number of radians θ is given by :

After t minutes,  θ = angle swept

                           θ = 5.6 t radians

b). Finding the height from the center of the wheel.

We know that : y = r sin θ

Given r = 50 feet

So, y = 50 sin (5.6 t) feet

Therefore, the height above the ground can be found by :

h = y + 55 (from ground)

h = 50 sin (5.6 t) + 55   feet

Ans its b and c

Step-by-step explanation:

Answer:

Diffrence is the mean of differential

Answer:

There are 36 boys in the class.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

x is the number of boys

y is the number of girls.

There are 42 pupils in a class.

This means that [tex]x + y = 42[/tex].

Since we want x, we have that [tex]y = 42 - x[/tex]

12 of them are Malays while the rest are Chinese. 1/4 of the boys and 1/2 of the girls are Malay.

This means that:

[tex]\frac{x}{4} + \frac{y}{2} = 12[/tex]

Since [tex]y = 42 - x[/tex]

[tex]\frac{x}{4} + \frac{42 - x}{2} = 12[/tex]

Multiplying everything by 4.

[tex]x + 84 - 2x = 48[/tex]

[tex]-x = -36[/tex]

[tex]x = 36[/tex]

There are 36 boys in the class.

Answer:

20 lawyers

Step-by-step explanation:

48 ÷ 12 = 4

which means every year 4 lawyers are hired

5 × 4 = 20

so this means the law firm has hired 20 lawyers in the last 5 years

Answer:

4/5

Step-by-step explanation:

1/2 ÷6=4/5

Answer:

4% per annum

Step-by-step explanation:

Recall :

Simple interest = principal * rate * time

Given that :

Time = 3 ; simple interest = 84 ; principal = 700

84 = 700 * rate * 3

84 = 2100 * rate

Rate = 84 /2100

= 0.04

= 0.04 * 100% = 4% per annum

Answer:

A = 84 ft^2

Step-by-step explanation:

A = bh  where b is the base and h is the height

A = 12*7

A = 84 ft^2

Answer:

y=5x+14

Step-by-step explanation:

Plug this into the equation y-y1=m(x-x1) where m is the slope. y1 is equal to 4, x1 is equal to -2, and m is equal to 5. This will make the equation y-4=5(x--2). This is equal to y-4=5(x+2). Use the distributive property to get y-4=5(x)+5(2). Simplify to get y-4=5x+10. We want to isolate y so we have to add 4 to both sides. This will be equal to y=5x+10+4. Combine like terms to get y=5x+14. Therefore, the equation is y=5x+14.

If this helps please mark as brainliest