Answer:
To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b.
Step-by-step explanation:
Find the missing length indicated
Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...
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 of an arithmetic sequence is given bynth term = a + (n - 1) d
where,
a = first termd = common differencen = nth term20, 26, 32, 38, ...
a = 20
d = 26 - 20
= 6
26th term = a + (n - 1) d= 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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Stephanie and alejandro
were planning thier wedding.
Stephine saved up four times.
more money than alejandro
because he lost his job at walmart. Together $15,600 How much did each one save ?
steps ?
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
: )
If a polynomial function f(x) has roots 0, 3, and 2+ V5, what must also be a root of f(x)?
-2-sqrt15
2-sqrt15
15-sqrt 2
15+sqrt 2
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:
PLEASE HELP...SOLVE FOR VOLUME
Answer:
to get volume you have to do this base x height
Step-by-step explanation:
12 x 8 is 96 that the base
next base times height which is 1996.8 however since the shape is a triangle and not a square you have to divide by 2 so the answer is 998.4 m^2
Answer:
volume = 12* 19.2*8/2 = 921.6 m3
Step-by-step explanation:
20.8^ 2 - 8^ 2 = a^2 = 19.2^ 2
volume = 12* 19.2*8/2 = 921.6
Lena has painted of a room.
She has used 11 gallons of
paint. How much paint will
she need for the whole room?
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:
Reasoning in a laboratory, the probability a bacterial colony thrives is 70%. The numbers 0 to 6 represent the outcome that a colony thrives. The numbers 7 to 9 represent the outcomes that a colony does not thrive. 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.
4285 6903 3829 7871 2868 5137
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!!!
Help me please............
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
Pleaseee help!!!!......
Answer:
D
Step-by-step explanation:
Bob carved this solid out of wood find the volume of the solid
Answer:
640
Step-by-step explanation:
if you're good at logarithms please help me with question h and show full working out ty ;)
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]
Shane wrapped the kite with paper. How many square inches of paper did Shane use to cover the front and back? 45 POINTS
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:
Compare the fractions use greater than less than or equal
5/8 ___25/40
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. :)
URGENT Gabe is driving toward San Francisco at a speed of 48 mph. If his dad left an hour later at a speed of 72 mph, how long will it take for Dae’s dad to catch up?
Answer:
2 hours
Step-by-step explanation:
48=72t-48t
48= (72-48) x t
48=24t
What is the exact circumference of a circle with a radius of 15 cm? 10πcm 15πcm 30πcm 60πcm WIIL GIVE BRAINLIEST
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.
Which phrase describes the pattern? 1, 3, 11, 123,...
A) add 2
B) add 8
C) multiply by 3
D) square the number and add 2
E) square the number and subtract 2
PLEASE HELP ME OUT I’ll GIVE YOU BRAINLIEST ASAP
Answer:
x ≈ 14.1
Step-by-step explanation:
Use Pythagorean theorem.
2x² = 20²
What is the area C in terms of
Which figures can be circumscribed by a circle? Select all that apply.
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!
:)
1. Simplify 5(x-2) - 3x + 4
a. 8x-5
b. 2x-5
C. -10x + 25
d. 2x - 6
Answer:
d. 2x-6 is the answer
a=b, b=x, c=2
=5x-5×2
=2x-6
What are the points of discontinuity?
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
there are 600 seats in the auditoium this is less than the number seats in gymnasum how many seats are in the gymnasium?
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:
f(x) = 2/x at x = -2
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
plz help I dont know the answer help plz I'll appreciate it if you help
Answer:
Ron
Step-by-step explanation:
Katie= 10 ft/sec
Ron=14 ft/sec
Noah= 12 ft/sec
Will= 9 ft/sec
Which function has two x-intercepts, one at (0,0) and one at (4,0)?
Of(x) = x(x - 4)
O f(x) = x(x + 4)
O f(x) = (x - 4)(x-4)
Of(x) = (x + 4)(x + 4)
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).
What is a x-intercept?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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On the graph of f(x)=cos x and the interval [0,2π), for what value of x does f(x) achieve a minimum?
Choose all answers that apply.
0
π/4
π/2
π
3π/2
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
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Jayden bikes 1.8 miles in 6 minutes. His friend Jordan bikes 3.2 miles in 8 minutes. Who bikes at a faster speed? Explain your answer.
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.
Taylor is buying shares of stock that cost 8 dollars each. How many shares can he buy if he can spend no more than 250 dollars?
Which of these are NOT expressions?
Check all that are true.
123
9 + 3 = 12
3(4x + 5)
6 − 5 − 4 = z
3z + 2x
HELP
Answer:
6-5-4=z
9+3=12
Step-by-step explanation:
Expressions has no equal sign
4~ Please help. What is m∠LKE?
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
