Identify the 5th term in the sequence assuming that the sequence is either arithmetic or geometric:
94.5, 95.8, 97.1, 98.4,....

Answer:

(C) 30πcm

Step-by-step explanation:

In order to find circumference you use the formula C (circumference)=2(pi)(r) in which r is the radius. In this case, two and 15 are thirty so to find the circumference all you have is the equation 30 times pi centimeters is equal to the Circumference.

Answer:

37 pi

Step-by-step explanation:

The circumference of a circle is equal to pi times the diameter.

The formula for the circumference of a circle is C=pi d,and since d = 37 ,we know that C=37 pi.

37 pi =116.238928183,but pi is irrational and the decimal will never end.

Thus,the most exact way to express the circumference is 37 pi.

Answer:

640

Step-by-step explanation:

Answer:

[tex]cos(\pi)=-1[/tex]

Step-by-step explanation:

[tex]f(x)=cos (x)[/tex]

State that the values where cos x is minimum:

[tex]x=\pi +2\pi n, n\in \mathbb{Z}[/tex]

[tex]cos(0)=1\\[/tex]

[tex]$cos\left(\frac{\pi}{4} \right)=\frac{\sqrt{2} }{2} $[/tex]

[tex]$cos\left(\frac{\pi}{2} \right)=0 $[/tex]

[tex]cos(\pi)=-1[/tex]

[tex]$cos\left(\frac{3\pi}{2} \right)=0 $[/tex]

We want to see for wich values of x does f(x) = cos(x) has a minimum in the interval [0,2π), the answer is x = π

So we know that the cosine function has a maximum value of 1 and a minimum value of -1, such that:

-1 ≤ cos(x) ≤ 1

Then we want to find the value such that:

cos(x) = -1

Let's look at the graph of the cosine function, which is below. There, you can see that the minimum is at x = π.

Then the correct option is:

x = π

If you want to learn more, you can read:

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Answer:

1: 12d

2: m^-2 n^3

Step-by-step explanation:

For problem 1, you subtract all of the exponent(s) for 4d^4 by adding -4 and 4 together to create zero, thus removing the exponent(s), then you multiply 3×4 and get 12d.

For problem 2, you just put m^-2 and n^3 together. You cannot combine the exponents or variables, so it would just look like m^-2 n^3

The ^ before a number means that it is an exponent.

Answer:

1st equation

Step-by-step explanation:

you can just figure this out because when y = 0, that is where the x intercepts are.

so that means that when y = 0, one of the parentheses has to equal to 0 as well, you can only get 0 in this situation when you multiply by 0.

so either x = 0, or some parentheses has to equal to 0.

in the 1 equation when x=0, then y=0, (0,0)

when x = 4, then y = 0, (4,0)

problem solved!

The function has two x-intercepts, one at (0,0) and one at (4,0) is f(x) = x(x - 4). Therefore, option A is the correct answer.

The given coordinate points are (0,0) and (4, 0).

The x-intercept for any curve is the value of the x-coordinate of the point where the graph cuts the x-axis, or we can say that the x-intercept is the value of the x-coordinate of a point where the value of y-coordinate is equal to zero.

A) y=x(x-4)

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (0,0),(4,0)

y-intercept(s): (0,0)

B) f(x) = x(x + 4)

x-intercept(s): (0,0),(−4,0)

y-intercept(s): (0,0)

C) f(x) = (x - 4)(x-4)

x-intercept(s): (4,0)

y-intercept(s): (0,16)

D) f(x) = (x + 4)(x + 4)

x-intercept(s): (−4,0)

y-intercept(s): (0,16)

The function has two x-intercepts, one at (0,0) and one at (4,0) is f(x) = x(x - 4). Therefore, option A is the correct answer.

Learn more about the x-intercept here:

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In total the time is 685 min not counting the transfer time and 706 including the transfer time. The probability of lunch fire drill is 25/706. Transfer time in total is 21 min so the probability is 21/207. 2 hours is 120 min. so there is a 120/706 probability that you missed it.

Answer:

Ron

Step-by-step explanation:

Katie= 10 ft/sec

Ron=14 ft/sec

Noah= 12 ft/sec

Will= 9 ft/sec

Answer:

Stephanie saved

Step-by-step explanation:

x+4x=15600

5x=15600

divide by 5 on both sides

you get 3120

since stephanie got 4 times more, you multiply 3120*4 and get 12480

therefore, Alejandro saved 3120

: )

Answer:

Step-by-step explanation:

16*[tex]x^{2}[/tex]

Answer:

16* x^2

Step-by-step explanation:

k* x^n

First simplify the expression:

4^2*x^2

So:

16* x^2

Answer:

What do you mean by Lena has painted of a room? can you tell me the question word by word so I can answer it?

Step-by-step explanation:

Answer:

the answer is 35 degrees

Step-by-step explanation:

The angle the diameter of a circle forms = 90 degrees

Therefore, angle ELK = 90 degrees

Sum of interior angles of a triangle = 180 degrees

Therefore, 55 deg + 90 deg + angle LKE = 180 deg

angle LKE = 180 - 145

LKE = 35 degrees

Answer:

The probability that exactly half of the colonies will thrive = (1/3) = 0.3333

Step-by-step explanation:

The list of random numbers simulates the out comes of 4 colonies.

Based On the simulation in 6 trails, what is the probability that exactly half of the colonies will thrive?

The probability of an event is given mathematically as the number of elements in the event divided the total number of elements in the sample space.

Noting that the numbers 0 to 6 indicate that a colony thrives and the number 7 to 9 represent that a colony doesn't thrive.

The 6 trials are given as

4285; 3 colonies thrive, 1 doesn't.

6903; 3 colonies thrive, 1 doesn't.

3829; 2 colonies thrive, 2 don't.

7871; 1 colony thrives, 3 don't.

2868; 2 colonies thrive, 2 don't.

5137; 3 colonies thrive, 1 doesn't.

The number of trials where exactly 2 colonies thrive = 2

The total number of trials = 6

The probability that exactly half of the colonies will thrive = (2/6) = (1/3) = 0.3333

Hope this Helps!!!

Answer:

it's equal=

Step-by-step explanation:

5 divided by 8 = .625, 25 divided by 40= .625

Answer:

=

Step-by-step explanation:

THEY ARE EQUAL. :)

Answer: [tex]x=\frac{31}{2}[/tex]

Step-by-step explanation:

[tex]2log_a(x+2)=log_a(x+9)+log_a(x-3)[/tex]

The first thing we are going to do is to get rid of the 2 in front of the first logarithm. To do this, we have the power property that says:

[tex]log_aX^n=nlog_aX[/tex]

Basically, the number in front, is the power of the number in the middle.

Let's rewrite this.

[tex]log_a(x+2)^2=log_a(x+9)+log_a(x-3)[/tex]

Now, in order to add logarithms with the same base (in this case "a"), we write the same base of the logarithm, and multiply their values.

[tex]log_a(x+2)^2=log_a(x+9)(x-3)[/tex]

Multiply the parentheses.

[tex]log_a(x+2)^2=log_a(x^2-3x+9x-27)[/tex]

Combine like terms;

[tex]log_a(x+2)^2=log_a(x^2+6x-27)[/tex]

Solve the binomial on the left side.

[tex]log_a(x^2+4x+4)=log_a(x^2+6x-27)[/tex]

When we have logarithms with same base, we equal their values.

[tex]x^2+4x+4=x^2+6x-27[/tex]

Subtract [tex]x^2[/tex]

[tex]x^2-x^2+4x+4=x^2-x^2+6x-27\\4x+4=6x-27[/tex]

Subtract 6x

[tex]4x-6x+4=6x-6x-27\\-2x+4=-27[/tex]

Subtract 4

[tex]-2x+4-4=-27-4\\-2x=-31[/tex]

Divide by -2.

[tex]x=\frac{-31}{-2}\\ x=\frac{31}{2}[/tex]

Answer:

Jordan

Step-by-step explanation:

Jayden bikes 0.3 miles in 1 minute if you divide 1.8 by 6.

Jordan bikes 0.4 miles in 1 minute if you divide 3.2 by 8.

Then, we can Jordan bikes 0.1 mile faster than Jayden in a minute.

Answer:

2 hours

Step-by-step explanation:

48=72t-48t

48= (72-48) x t

48=24t

Answer:

D

Step-by-step explanation:

Answer:

(600 + x )seats ...let x be the number seat less than the auditorium in relation to the gymnasium

For example. There are 600 seats in the auditorium. This is 112 less than the number of seats in gymnasium

600 is 112 less, therefore 712 seats in the gymnasium

Step-by-step explanation:

Answer:

f(x) = -1

Step-by-step explanation:

2/x when x = -2

2/-2 = -1

Answer:

f(x) = -1

Step-by-step explanation:

If you plug in -2 for x then it is 2/-2

Answer:

170

Step-by-step explanation:

20 + (26 - 1)6

= 20 + (25)6

= 20 + 150

= 170

The 26th term in the arithmetic sequence: 20, 26, 32, 38, ... is 170

Given:

20, 26, 32, 38, ...

nth term = a + (n - 1) d

where,

20, 26, 32, 38, ...

a = 20

d = 26 - 20

= 6

= 20 + (26 - 1) 6

= 20 + (25) 6

= 20 + 150

= 170

Therefore, the 26th term in the arithmetic sequence is 170

Learn more about arithmetic sequence:

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Answer:

x ≈ 14.1

Step-by-step explanation:

Use Pythagorean theorem.

2x² = 20²

Answer:

Option B.

Step-by-step explanation:

Note: Given roots are not in proper format.

Consider the polynomial function f(x) has roots 0, 3, and [tex]2+\sqrt{15}[/tex].

According to irrational root theorem if [tex]a+\sqrt{b}[/tex] is root of a polynomial P(x), then [tex]a-\sqrt{b}[/tex] is also a root of polynomial P(x).

Since [tex]2+\sqrt{15}[/tex] is an irrational root of the function f(x). By irrational root theorem [tex]2-\sqrt{15}[/tex] is also a root of function f(x).

Therefore, the correct option is B.

Answer:

B)

Step-by-step explanation:

Answer:

x = 9, x = 3

Step-by-step explanation:

Given

y = [tex]\frac{x-3}{x^2-12x+27}[/tex]

The denominator of the rational function cannot be zero as this would make y undefined.

Equating the denominator to zero and solving gives the values that x cannot be, that is

x² - 12x + 27 = 0

(x - 9)(x - 3) = 0

Equate each factor to zero and solve for x

x - 9 = 0 ⇒ x = 9

x - 3 = 0 ⇒ x = 3

Thus x = 9, x = 3 are excluded values and the points of discontinuity

Answer:

6-5-4=z

9+3=12

Step-by-step explanation:

Expressions has no equal sign

Answer:

576

Step-by-step explanation:

First off, we can use the area of a kite formula, (D1*D2)/2 to get the area of one side of the kite, which is simplified to 18 * 32 : which gets us 288. But because we are looking for the area of the front and back side, we multiply 288 by 2- getting the final answer of 576.

Answer:

576

Step-by-step explanation:

Answer:

Using the properties of inscribed quadrilateral (the sum of two opposite angles is 180 deg), we have

Option A, B, C are all correct (those figures can be circumscribed by a circle).

Hope this helps!

:)

Answer:

d. 2x-6 is the answer

a=b, b=x, c=2

=5x-5×2

=2x-6