Answers
Answer:
B. 4Step-by-step explanation:
Given,
[tex] {x}^{8} = {( {2}^{2} )}^{4} [/tex]
Since,
[tex] { ({a}^{x} )}^{y} = {a}^{xy} [/tex]
Then,
[tex] = > {x}^{8} = {2}^{2 \times 4} [/tex]
[tex] = > {x}^{8} = {2}^{8} [/tex]
(Since the exponents are same so the bases will be also same)
Therefore,
=> x = 2
As per condition,
[tex] {x}^{2} [/tex]
(Putting value of x = 2)
[tex] ={2}^{2} [/tex]
= 4 (Ans)
Related Questions
simplify root 32-6 divided by root 2 plus root 2
Answers
Answer:
5•362165924
Step-by-step explanation:
first make root of 32-6=5•099019514
then make root of 2+root2=1•84--
then divide upper by lower part answer comes
or
root32-6=root26
root 2+root 2=2root2
root26/root2root2
ans=3•0318---
Answer:
[tex] \frac{ \sqrt{32} - 6 }{ \sqrt{2} + \sqrt{2} } \\ \frac{ \sqrt{16 \times 2} - 6}{2 \sqrt{2} } \\ \frac{4 \sqrt{2} - 6}{2 \sqrt{2} } \\ \frac{2(2 \sqrt{2} - 3) }{2 \sqrt{2} } \\ \frac{2 \sqrt{2} - 3}{ \sqrt{2} } \\ thnk \: you[/tex]
factorize the expression:
mn² + mnp + 3mn + 3mp
Answers
Answer:
(mn+3m)(n+p)
Step-by-step explanation:
Answer:
(mn + 3m)(n + p)
Step-by-step explanation:
Factorize by grouping:
[tex]mn^2+mnp\\mn(n+p)\\\\3mn+3mp\\3m(n+p)\\\\(mn+3m)(n+p)[/tex]
Someone help please.
Answers
Answer:it could b phase shift but i think that u would have 2 put it on the axis 2 really get it but that is what is thought n our grade but axis
Step-by-step explanation:
A giant pie is created in an attempt to break a world record for baking. The pie is shown below:
A circle is shown with a central angle marked 45 degrees and the diameter marked 15 feet.
What is the area of the slice of pie that was cut, rounded to the nearest hundredth?
22.08 ft2
24.45 ft2
26.32 ft2
28.97 ft2
Answers
Answer:
22.08 ft^2
Step-by-step explanation:
First find the area of the full circle
A = pi r^2
The diameter is 15 so the radius is 1/2 (15) = 7.5
A = (3.14) (7.5)^2
=176.625
45 degrees is a fraction of a circle which is 360 degrees
45/360 = 1/8
Multiply the area of the circle by this fraction
1/8 (176.625) =22.078125
Rounding to the nearest hundredth
22.08
Answer:
22.08 ft2
Step-by-step explanation:
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 43 and a standard deviation of 8. Using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 19 and 67
Answers
Answer:
Step-by-step explanation:
If you drew out the bell curve and put the values where they go, this would be a no-brainer that doesn't even need math to solve. However, we will use the formula and then the table for z-scores to find this answer.
We are looking for the probability that the number of calls falls between 19 and 67. The standard deviation is 8 and the mean is 43. The probability we are looking for is P(19 < x < 67), therefore we look for the probability first that number of calls is greater than 19:
[tex]z=\frac{19-43}{8}=-3[/tex] and from the table and to the right of the z-score, the probability that the number of calls is greater than 19 is .99865 (or 99.8%). Likewise,
[tex]z=\frac{67-43}{8}=3[/tex] and from the table and to the right of the z-score, the probability that the number of calls is greater than 67 is .00315.
Take the difference of these to get the probability that the number of calls falls between these 2:
.99865 - .00135 = .9973 or 99.7%
PLEASE HELP I'M GOING INTO 8TH GRADE AND I HAVE NO IDEA HOW TO DO ALGEBRA AND THIS IS CONFUSING HELP MY! :l 4x - 8 > -40
Answers
4x -8 > -40
Add 8 to both sides:
4x > -32
Divide both sides by 4:
X > -8
Answer: x > -8
what is the angle of elevation to a building 1000 m away that is 300 m high?
Answers
Let h be height of building
then In ΔABC
AB/BC =tan60degree
h/100 = root 3
h= 100 root 3
PLEASE MARK BRAINLIST!!
The required angle of elevation of the building is 16.7°.
Given that,
what is the angle of elevation to a building 1000 m away that is 300 m high is to be determined.
These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
Here,
The angle of the elevation is given as,
TanФ = 300/1000
Ф = tan⁻¹(3/10)
Ф = 16.7°
Thus, the required angle of elevation of the building is 16.7°.
Learn more about trigonometry equations here:
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Tommy started a business in the year 1991. He got $44,000 profit in the first year. Each year his
profit decreased by 3%. Identify an exponential decay model to represent his decreasing annual
profit in the business?
Answers
Answer= decreasing annual profit in the business
are $13200.
Answer:
[tex]P = 44,000(.97)^{t}[/tex]
P=Profit
t=years
Step-by-step explanation:
[tex]P = 44,000(.97)^{t}[/tex]
P=Profit
t=years
69 POINTS !!!!!!!
Which of the following describes the matrix?
[8 9 4]
[5 2 6]
[3 1 7 ]
3×3
3×9
9×3
2x3
Answers
Answer: Choice A) 3x3
The 3x3 refers to the number of rows and the number of columns in that order.
As another example, this matrix
[tex]\begin{bmatrix}1 & 7 & 9\\13 & 41 & 2\\5 & 8 & 7\\92 & 3 & 5\end{bmatrix}[/tex]
is a 4x3 matrix because it has 4 rows and 3 columns.
A carton of 24 bottles of sports drink costs $16. How many bottles of sports drink can you get
with $12
Answers
Answer:
8
Step-by-step explanation:
24 bottles = 16 dollars!
? bottles = 12 dollars
Note:
In these type of Questions, find out any dollars you could get with 1 bottle
or in simple terms, (first find the unit Rate)
24/16 = 1.5
1 bottle = 1.5 dollars
? bottles = 12 Dollars?
12/1.5
= 8
I hope that helps! Have a wonderful day!Two consecutive integers have a sum of 107. Find the integers.
Answers
Answer: 53 and 54
Explanation
Let the consecutive numbers be x and x + 1
ATQ
x + x + 1 = 107
2x = 107 - 1
x = 106/2
x = 53
Therefore the numbers are 53 and 54
Must click thanks and mark brainliest
Answer:
x = 53, x + 1 = 54
Step-by-step explanation:
Consecutive integers are two numbers that are after each other. (This is confusing wording, but hopefully this example helps):
Regular consecutive numbers: 1, 2, 3
Even consecutive numbers: 2, 4, 6
Since in this problem the numbers are not given you will use variables.
x + x + 1 = 107
Solve:
x + x + 1 = 107
2x + 1 = 107
-1 -1
----------------
2x = 106
--- -----
2 2
x = 53
x + 1
53 + 1 = 54
Hope this helped.
Help in 36 and 37 pls
Answers
Answer:
The answer of number 36 is G and the answer of number 37 is A
graph the line that passes through the points (-3,-7) and (-2,-7) and determine the equation of the line
Answers
Answer:
y = -7
Step-by-step explanation:
y2 - y1 / x2 - x1
-7 - (-7) / -2 - (-3)
0/1
= 0
y = 0x + b
-7 = 0(-2) + b
-7 = 0 + b
b = -7
Determine the equation of the line that is parallel to the line 3x-4y-12=0 that passes through the point (-4,-1). Write the equation in slope-intercept form.
Answers
Answer:
y=(3/4)x+2
Step-by-step explanation:
write the equation in slope-intercept form: y=(3/4)x - 3
since it is parallel the slope is the same so we have y=(3/4)x + b
then plug in the point (-1) = (3/4)(-4) + b
-1 = -3 +b, b=2
y= (3/4)x + 2
Identify the segments that are parallel, if any, if ∠KCB≅∠JAC.
Answers
The two lines are parallel if they are at same distant, but these lines will never meet at any point.
Parallel lines do not intersect each other. These lines are equidistant from each other.
In the given angles the line CB will be parallel to line AC.
CB ≅ AC
These two lines will be equidistant from each other since they both form an equivalent angle. These lines will not intersect with each other.
Learn more at https://brainly.com/question/24370301
graph shown here is the graph of which of the following rational
functions?
Answers
Answer:
B) f(x) = 1/x-1
Step-by-step explanation:
You can type it into desmos graphing calculator- hope this helps
Option (B) is correct.
What is a graphing function?"Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation"
For the given graph,
The functions are
(A) [tex]f(x)=\frac{1}{x}[/tex]
(B) [tex]f(x)=\frac{1}{x-1}[/tex]
(C) [tex]f(x)=\frac{1}{x+1}[/tex]
Plot all these functions in the graph. We can obtain the graph as shown for option (B).
Hence we can conclude that option (B) is correct.
Learn more about graphing functions here
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A man writes 1 on the first line of his paper, then writes 2 and 3 on the second line, then 4, 5, and 6 on the third, and continues so that on any line n he writes the first n integers following the last integer on line n - 1. What is the sum of the first and last integers on line 17
Answers
Answer: 290
Step-by-step explanation:
[tex]First\ integer\ on\ line\ n\ is:\ \dfrac{n^2}{2}-\dfrac{n}{2}+1 \\\\For \ line\ 17\ : \dfrac{17^2}{2}-\dfrac{17}{2}+1 =137\\\\\\Last \ integer\ on\ line\ n\ is:\ \dfrac{n*(n+1)}{2} \\\\For\ line\ 17:\ \dfrac{17*(17+1)}{2} =153\\\\Sum=137+153=290[/tex]
I have not say the equation in u(n+3) for the recurrence,
the resolution of the equation caracteristic and the resolution of a system of 3 equations with 3 variables.
Input in standard form the equation of the given line. The line that passes through (1, 1) and (3, 4)
Answers
y=3/2x-1/2
Standard Form Equation: y=mx+b
Find the sum of 5m + 2n, n - 3m, and 7 - 3n
Answers
Answer:
5m + 2n + (n - 3m) + (7 - 3n) = 5m - 3m + 2n + n - 3n + 7 = 2m + 7
Step-by-step explanation:
Answer
36x287x855y46
Step-by-step explanation:
hmmmm
pls help in question no 10. a)
Answers
He should sell it at the cost of 11,115.7895 Rs
Explanation:
Find original price:
100% - 5% = 95% = 9600
Let x be the original price.
Thus (95/100)x = 9600
x = (9600 x 100)/95
x = 960000/95
x = 10105.2632
Find the price in order to gain 10%.
x • 110% = 10105.2632 x 110/100 = 11,115.7895
If the measure of FGH IS 64º and the measure of EGD is (4x+8), what is the value of x?
E
D
F
H
Answers
[tex]\\ \sf\longmapsto 4x+8=64[/tex]
[tex]\\ \sf\longmapsto 4x=64-8[/tex]
[tex]\\ \sf\longmapsto 4x=56[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{56}{4}[/tex]
[tex]\\ \sf\longmapsto x=14[/tex]
Please help!
This is a part 2 of a question, I found the first one and couldn’t find the second one. These are from edginuity. If you guys need the first part lmk.
Answers
Answer:
The vertical line test is basically a way to determine whether or not a graph is a function. All three of the options are accurate, so I would select all three.
Let me know if you have any other questions!
Find m∠AMY+m∠CME. i dont understand
Answers
Answer:
It's 46°
Step-by-step explanation:
[tex]m \angle AMY = 62 - 37 = 25 \degree[/tex]
[tex]m \angle CME = 159 - 138 = 21 \degree[/tex]
[tex]{ \tt{m \angle AMY + m \angle CME = 21 \degree + 25 \degree}} \\ { \tt{ = 46 \degree}}[/tex]
The sum of the angles m∠AMY and m∠CME is 83 degrees option (B) is correct.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
From the picture,
The measure of angle PMY = 62 degrees
The measure of angle PMA = 37 degrees
The measure of angle AMY = Angle PMY - Angle PMA = 62 - 37
= 25 degrees
Similarly,
Angle CME = 79 - 21 = 58 degrees
m∠AMY+m∠CME = 25 + 58 = 83 degrees.
Thus, the sum of the angles m∠AMY and m∠CME is 83 degrees option (B) is correct.
Learn more about the angle here:
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help me please !!! :)
Answers
Answer:
A
Step-by-step explanation:
f(x) = x+4 when x is equal to or less than - 2. f(-4)=0
What is a ratio that is equivalent to 12:35?
Answers
Answer:
0.3429 is a decimal and 34.29/100 or 34.29% is the percentage for 12/35.
Answer:
24 : 70
Step-by-step explanation:
12 : 35
Multiply each side by 2
12*2 : 35*2
24 : 70
Shyam is 28 years old than his daughter, now product of their age is 204. find out the age of daughter.
Answers
Let daughter be x years old. Then, Shyam is (x + 28) years old.
So,
x(x + 28) = 204
=> x² + 28x = 204
=> x² + 28x - 204 = 0
=> x² - 6x + 34x - 204 = 0
=> x(x-6) + 34(x-6)
=> (x - 6) (x + 34) = 0
=> x - 6 = 0 or x + 34 = 0
=> x = 6 or x = -34
Since any age cannot be negative, daughter's age is 6 years old.
How to do it who can solve it
Answers
Answer:
because of its bark
Step-by-step explanation:
the answers have corresponding letters so answer the questions and put the letter next to the question above the answer
some of the answers are repeated
Hello! I’m really struggling with this, any help is appreciated (:
Answers
Hi, It's the 3rd option
Thanks, It was little hard to find the answer. I am not totally sure about it but as far as I understand this question. the third option is correct.
:)
I need help, because I am stu-pid
Answers
Answer:
B. 171
Step-by-step explanation:
Answer:
The answer is 171
Step-by-step explanation:
You do the math in the parentheses first, then the sum to the power of two, then multiply by 4, and then subtract by 5^2.
4×(2+5)^2-5^2
4×(7^2)-5^2
4×(49)-5^2
4×49-5^2
196-5^2
196-25=
171
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 24 ft long and 16 ft wide.
Find the area of the garden.
Answers
Answer: Using width as diameter=32π Using length as diameter=72π
*I included both possibilities since I didn't see a picture of the way in which the semicircle and rectangle were joined.*
Step-by-step explanation:
In order to solve, you have to know the formula for area of a circle which is A=πr^2 (pi*radius to the 2nd power)
The problem does not give us the radius, but we know that radius is half of the diameter.
To find the diameter, we have to use the side measurement of the rectangle and divide it by 2 to find the radius.
Next, we increase the radius to the 2nd power, giving us the radius of a whole circle.
Finally, we have to divide that by 2 since it's a semi circle otherwise known as half of a circle.
I put the answer in terms of pi since that's the most accurate, but if the question specifically instructs it, you can calculate part of the irrational decimal and round to a certain place value.
