Answers
Answer:
The correct option is (2).
Step-by-step explanation:
We need to find the value of the given expression i.e.
[tex]\dfrac{(8x^6)^2}{(4x^2)^3}[/tex]
We can calculate it as follows :
[tex]\dfrac{(8x^6)^2}{(4x^2)^3}=\dfrac{8^2\times (x^6)^2}{(4)^3\times (x^2)^3}\\\\=\dfrac{x^{12}}{x^6}\\\\=x^6[/tex]
So, the final answer is x⁶. The correct option is (2).
Related Questions
1. Kenny is drawing the outside lines
on a sports field that is 92 feet by
124 feet. What is the total length of
the line he will draw to surround the
field?
Answers
In a law office, the average number of billed hours per day was 150 last year. In the first 85 days of this year, the average number of billed hours per day is 158 with a standard deviation of 65 hours. When testing the hypothesis (at the 10% level of signficance) that the average number of billed hours per day has increased, what is the null and alternative hypotheses (please write out the null and alternative hypotheses below AND on your scratch work...failure to do BOTH will result in 0 points)
Answers
Answer:
There isn't enough evidence to reject H0
Step-by-step explanation:
Null hypothesis :
H0: μ = 150
H1 : μ > 150
Decision region :
Reject Null if ;
Pvalue < α
Zstatistic = (x - μ) / (s/sqrt(n))
Zstatistic = (158 - 150) / (65/sqrt(85))
Zstatistic = 0.1135
Using the P value calculator from Zstatistic at 90% ; α = 0.10 confidence interval ; one tailed test = 0.128
Pvalue = 0.128
Since ; 0.128 > 0.10
Pvalue > α
We cannot reject H0:
can you help me please
Answers
Answer:
[tex]log_372 = 3.8928[/tex]
Step-by-step explanation:
Given
[tex]log_38 = 1.8928[/tex]
Required
Evaluate [tex]log_372[/tex]
We have:
[tex]log_372 = log_3(8 *9)[/tex]
Apply law of logarithm
[tex]log_372 = log_38 +log_39[/tex]
Express 9 as 3^2
[tex]log_372 = log_38 +log_33^2[/tex]
Evaluate the exponents
[tex]log_372 = log_38 +2log_33[/tex]
[tex]log_33 = 1[/tex].
So:
[tex]log_372 = log_38 + 2 * 1[/tex]
[tex]log_372 = log_38 + 2[/tex]
Substitute [tex]log_38 = 1.8928[/tex]
[tex]log_372 = 1.8928 + 2[/tex]
[tex]log_372 = 3.8928[/tex]
Fran can type 297 words in 5.5 minutes. What is her typing speed in words per minute?
Answers
Answer:
54 word per minute
Step-by-step explanation:
Hope this helps!! :)
1/4 divided by 5 explain how you do it
Answers
Answer: It would be 0.05 because it’s just simple math, I just learned this today at school.
I mean I think it’s simple math
Step-by-step explanation:
Harper you have a Great Day or Night, and also I hope it was helpful!!! : )
Although bats are not known for their eyesight, they are able to locate prey (mainly insects) by emitting high-pitched sounds and listening for echoes. A paper gave the following distances (in centimeters) at which a bat first detected a nearby insect. 24 41 25 68 53 83 43 63 56 34 45 A button hyperlink to the SALT program that reads: Use SALT. (a) Calculate the sample mean distance at which the bat first detects an insect. (Round your answer to four decimal places.) 48.6364 cm (b) Calculate the sample variance and standard deviation for this data set. (Round your answers to four decimal places.) Variance Standard deviation
Answers
Answer:
[tex]Mean = 48.6364[/tex]
[tex]s^2 = 331.8545[/tex] -- Sample Variance
[tex]s = 18.2169[/tex] --- Sample Standard Deviation
Step-by-step explanation:
Given
[tex]n = 11[/tex]
[tex]Data: 24, 41 ,25 ,68 ,53 ,83 ,43 ,63 ,56 ,34 ,45[/tex]
Solving (a): The sample mean
[tex]Mean = \frac{\sum x}{n}[/tex]
So:
[tex]Mean = \frac{24 +41 +25 +68 +53 +83 +43 +63 +56 +34+ 45}{11}[/tex]
[tex]Mean = \frac{535}{11}[/tex]
[tex]Mean = 48.6364[/tex]
Solving (b): Sample variance (s^2)
This is calculated as:
[tex]s^2 = \frac{\sum (x - \bar x_i)^2}{n - 1}[/tex]
Where:
[tex]\bar x = 48.6364[/tex]
So:
[tex]s^2 = \frac{(24 -48.6364)^2 +(41 -48.6364)^2 +......................+( 45 -48.6364)^2}{11-1}[/tex]
[tex]s^2 = \frac{3318.54545456}{10}[/tex]
[tex]s^2 = 331.8545[/tex]
Solving (c): Sample Standard Deviation (s)
This is calculated as:
[tex]s = \sqrt {s^2[/tex]
[tex]s = \sqrt{331.8545[/tex]
[tex]s = 18.2169[/tex]
a system of equations is show below
5x + 3y=-6
2x+y=-4
which statement about the ordered pair (-6,8) is true?
Answers
yes it is true I have send u photo plz have a look
5x + 3y=-6
5(-6) + 3(8)=-6
-30 + 24=-6
^^true
2x+y=-4
2(-6)+8=-4
-12+8=-4
^^true
Please help1
An observer is watching a bird from the ground as shown. What is the bird's distance from the ground, in miles, as shown in the diagram? Round to the nearest tenth.
Answers
Answer:
? = 1.5 miles
Step-by-step explanation:
?^2 + 1.2^2 = 1.9^2
? = 1.473
The distance of bird from the ground is 1.47 miles.
What is a right angle triangle?A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any angle is a right angle.
In the given diagram,
The distance between observer and bird = 1.9 miles,
And the distance from observer to the ground = 1.2 miles.
Let the distance of bird from ground is h miles.
To find the distance of bird from ground,
Use Pythagoreans theorem,
(1.9)² = (1.2)² + h²
3.61 = 1.44 + h²
3.61 - 1.44 = h²
2.17 = h²
h = 1.473 miles
The distance of bird from the ground is 1.47 miles.
To know more about Triangle on :
https://brainly.com/question/2773823
#SPJ2
Josie does 9 minutes
of stretches before she runs. She runs for
20 minutes. Then she does 7 minutes of cool
down exercises. The clock shows the end time 3:45 of
her workout. At what time does Josie start her
workout? Describe how you found the time.
Answers
Answer: Josie starts working out at 3:09
Step-by-step explanation: I found this answer by adding the workout time together.
Answer:
3:09
Step-by-step explanation:
First add the total time of the workout
20+9+7=36
then subtract the end time 3:45 with the workout time:
3:45-00:36=3:09
Check work:
3:09+00:36=3:45
Which problem can be solved with this equation?
A. Jen has 4 of a meter of ribbon. She buys 6 more meters of ribbon. How many meters of ribbon does she have in all?
B. Jen has f of a meter of ribbon, she wants to give 6 friends equal-size pleces of the ribbon. How many meters of ribbon does each
friend get?
OC. Jen has 6 meters of ribbon. She cuts
soft / of
of the ribbon. How many meters of ribbon does she have left?
OD. Jen has 6 meters of ribbon, she wants to give
of it to her friend. How many meters of ribbon does she give her friend?
Answers
Answer:
I believe the answer is B
To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, What is the slope of the line represented by 2x + 5y = 10?
Answers
Answer: -2/5
Step-by-step explanation:
To find the slope, we set the function use y = mx + b forms.
2x + 5y = 10
5y = -2x + 10 Minus 2x in both side
y = -2/5x + 10/5 Divide 5 from both side
y = -2/5x + 2
In the y = mx + b, the m before variable x is always the slope, so -2/5 is the slope for 2x + 5y = 10.
Can the table below represent values of a function? explain why.
Answers
Try it yourself, I'll explain the concept
In a function, each x-value matches to exactly one y-value
If it matches to more than one y-value, it is not considered a function
Now look at the x and y values in each table to determine if it is a function or not
:)
19. The formula P = a + b + cgives the perimeter P of a triangle with side
lengths a, b, and c. A triangular field has sides that measure 33 yards,
56 yards, and 65 yards. What is the perimeter of the field? (6.EE.20)
Answers
Answer:
33 + 56 + 65 = 154
Which ratio is greater? 3 : 4 or 5:6
Answers
Answer:
5:6 is greater than 3:4.
Use slope-intercept form to write an equation of a line passing through the given point and having the given slope. Express the answer in standard form.
P(−4, −6); m = −3/4
Answers
9514 1404 393
Answer:
3x +4y = -36
Step-by-step explanation:
The slope-intercept form is ...
y = mx + b
where m is the slope and b is the y-intercept. From this equation, we can find the y-intercept as ...
b = y -mx
For the given point and slope, this is ...
b = -6 -(-3/4)(-4) = -9
Then the slope-intercept equation is ...
y = -3/4x -9
We can multiply by 4 to get something we can put in standard form.
4y = -3x -36
3x +4y = -36 . . . . standard form equation
Plz Work out -1x(6x-8)=
Answers
= -x(6x - 8)
= -x(6x) - x(-8)
= -6x^2 + 8x
The triangles shown are similar. Which side of triangle JGH corresponds to side PM of triangle PMO?
Triangle G H J. Side G H is 9 centimeters, H J is 12 centimeters, J G is 6 centimeters. Triangle P M O. Side P M is 3 centimeters, M O is 4.5 centimeters, O P is 6 centimeters.
GH
JG
HJ
OP
Answers
Answer:
The corresponding side is JG
Step-by-step explanation:
Given
JGH similar to PMO
Required
Determine the similar side to PM
To do this, we follow the naming convention of both triangle name, since there is no attachment to support the given parameters.
So:
By comparison: The corresponding side is JG
Answer:
B aka JG
Step-by-step explanation:
right on edge
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answers
I checked desmos and it only intersected at one point :)
Answer: The answer is ONE Solution
Step-by-step explanation:
A system of equations have no solution when their slopes are the same but they have different y-intercepts. When graphed, the lines cannot intersect for there to be a solution. Looking at both equations, they have different slopes and different y intercepts so you can rule "NO solution" out.
Secondly a system of equations have infinitely many solution if they both share the same slopes and y-intercepts.
Looking at both lines, they have different slopes and different y-intercepts, so you can also rule that out.
A system of equations have one solution if their slopes are different and y intercepts are also different. Looking at the two lines, we can notice that the slope and y-intercepts are all different.
Identify the graph which shows the figure in graph A, rotated 90° in a clockwise direction around the origin.
Answers
In January, the depth of a lake was 902 feet. In August, the depth of the lake was 721.6 feet.
What is the percentage decrease of the depth of the lake from January to August?
A.
80%
B. 25%
C. 20%
D. 24%
Answers
902 x 20% = 180.4
Answer = C. 20% decrease of depth
Hope this helps!!
Which table shows a linear relationship
Answers
Answer:
B
Step-by-step explanation:
Milo and Audrey sold tickets to the school concert. Milo sold 14 fewer tickets than Audrey. If Milo sold 32 tickets, how many tickets did Audrey sell?
Answers
Answer:
18
Step-by-step explanation:
32-14=18
round the number 24.9652 to 1 decimal place
Answers
Answer: 25.0
Step-by-step explanation:
25
Answer:
25
Step-by-step explanation:
0.06 rounds up into the .9 which is now a 1
Why is m..?
somebody help please
Answers
Answer:
The last one
Step-by-step explanation:
The fast reason why - all the other scenarios require 3 lines: 2 lines both parallel to a 3rd, or 2 lines cut by a transversal line, etc. The diagram only shows 2 lines. So the right answer must be the one that doesn't require a third line to be present. :)
The longer answer why - See how angles 2 & 3 have the same style of arc? That is telling you they are of equal measure. So together they are a straight angle, 180°. And they are equal to each other, so 2x = 180° --> each one must be a 90° angle.
Wherever two lines cross, if one angle is a right angle, all 4 angles at the intersection also must be right angles, so everything is perpendicular.
Solve each equation by factoring ⁉️NEED THIS ASAP ⁉️
Answers
Answer:
Step-by-step explanation:
Solve the equation 3^x+3=5
Answers
3*x=2
X=0.67
Sorry if wrong but hope this helps.
ANSWER CORRECTLY WITH REASONING FOR BRAINLIEST
Jaya wants to find out what type of art her fellow students enjoy the most. She asks her classmates: "What is your favorite type of art?"
This question is biased.
True
False
Answers
Answer:false
Step-by-step explanation:because jaya is not giving her opinion she is asking for others opinions.
Helpppp please !!! Due in an hour
Answers
y=-2/3x-4
The slope is rise over run. The y-intercept is where the line goes through y.
N - 5 x4 pls hellpppo
Answers
Answer:
n-20 is your answer ☺️☺️☺️
Answer:
N-20 is the answer if your trying to simplify it, if not comment on this answer and ill try to help
Step-by-step explanation:
hii they asked this again but in cm
Answers
Answer:
9 + 9 + 3 + 3 = 24
P = 24 cm
9 x 3 = 27
A = 27 square cm
(I think those are the answers, hope it helps <3 )