Answer:
1/2 rational exponent represents a square root.
Therefore, option A is correct.
Step-by-step explanation:
As we know that raising to the one-half power i.e. [tex]\frac{1}{2}[/tex] is the same
as taking the square root.
so [tex]x^{\frac{1}{2}}[/tex] is the same as the square root of [tex]x[/tex].For example, taking the square root of 4 will determine:
[tex]4^{\frac{1}{2}}[/tex]
[tex]\mathrm{Factor\:the\:number:\:}\:4=2^2[/tex]
[tex]4^{\frac{1}{2}}=\left(2^2\right)^{\frac{1}{2}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0[/tex]
[tex]\left(2^2\right)^{\frac{1}{2}}=2^{2\cdot \frac{1}{2}}[/tex]
so the expression becomes
[tex]4^{\frac{1}{2}}=2^{2\cdot \:\frac{1}{2}}[/tex]
[tex]=2^1[/tex]
[tex]=2[/tex] ∵ [tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^1=a[/tex]
so, 1/2 rational exponent represents a square root.
Therefore, option A is correct.
Answer: A.) 1/2 is the correct answer
Step-by-step explanation:
(-6, 8)and (3, -7) in slope intercept form
Answer:
Step-by-step explanation:
y= - 5/3x-2
The area of Australia is 2.95 × 106 square miles. What is the approximate average number of people per square mile in Australia? Round to the nearest person
Answer:
9 people per square mile
Step-by-step explanation:
Given that:
Area of Australia = 2.95 * 10^6 mi²
Approximate average Number of people per square mile :
This can be obtained by taking the proportion of the population of Australia and the Area of the land mass
Approximate population of Australia : 25,499,884 ( data obtained from internet)
Average number of people per square mile :
Approximate population / Land Area
25,499,884 / 2.95 * 10^6
= 8.6440284
Hence, there will be approximately 9 people per square mile.
HELP Evaluate the function for x = 2 and x = 7.
h(x)=−4x+61
Answer:
Step-by-step explanation: not sure why there is two x values can you explain more
A family has completed 50% of a trip and they have traveled 10 miles. How long is the trip?
Suppose you estimated square root of 12 by averaging a square like rectngle.What would be a reasonable estimation?
Answer:
3.5.
Step-by-step explanation:
3^2 = 9
and 4^2 = 16 so the square root is between 3 and 4.
Take a rectangle 3.4 by 3.6:
the area = 3.4 * 3.6 = 12.24 so an estimate of the square root could be 3.5.
3.5 * 3.5 = 12.25.
Laney is ordering books while she is on summer vacation. Reader’s Book Club charges $4.00 per book and requires a one-time membership fee of $12. Perfect Pages requires no membership fee and charges $7.50 for each book ordered. The cost for Laney to order books depends on the number of books ordered, b. Which inequality can be used to find the minimum number of books that can be ordered so that the cost of ordering books from Reader’s Book Club is less than the cost of ordering books from Perfect Pages?
Answer:
Step-by-step explanation:
edfdsfdsfs
Work out the percentage change to 2 decimal places when a price of £198 is increased to £209.99.
Answer:
6.05%
Step-by-step explanation:
Initial price = £198
Increased price = £209.99.
We need to find the percentage change in the price. It can be calculated as follows :
%=(increase in amount)/(initial price) × 100
Increase in amount = 209.99 - 198
= 11.99
So,
[tex]\%=\dfrac{11.99}{198}\times 100\\\\=6.05\%[/tex]
So, the increase in price is 6.05%.
Answer:
6.05%
Step-by-step explanation:
2. Shown is the graph of y = f(x). Draw the graph of g(x) = -f(x).
у
Answer:
Step-by-step explanation: add Y to the X and then add -f to X Y and you will get the answers
Add Y to X 2.Get your answer and dived that by -f and u will get you answerDivide the polynomials. Your answer should be in the form p(x)+\dfrac{k}{x+2}p(x)+ x+2 k p, left parenthesis, x, right parenthesis, plus, start fraction, k, divided by, x, plus, 2, end fraction where ppp is a polynomial and kkk is an integer. \dfrac{x^2+7x+12}{x+2}= x+2 x 2 +7x+12 =start fraction, x, squared, plus, 7, x, plus, 12, divided by, x, plus, 2, end fraction, equals
Answer:
[tex](x+5)+ \dfrac{2}{x+2}[/tex]
Step-by-step explanation:
Given
[tex]\dfrac{x^2+7x+12}{x+2}[/tex]
Required
Simplify and present your answer in
[tex]p(x)+\dfrac{k}{x+2}[/tex]
First, we need to expand and factorize the numerator:
[tex]\dfrac{x^2+7x+12}{x+2}[/tex]
Express 12 as 10 + 2
[tex]\dfrac{x^2+7x+10+2}{x+2}[/tex]
Split into two using brackets
[tex]\dfrac{(x^2+7x+10)+2}{x+2}[/tex]
Split to two fractions:
[tex]\dfrac{(x^2+7x+10)}{x+2}+\dfrac{2}{x+2}[/tex]
Factorize the numerator of the first fraction
[tex]\dfrac{(x^2+5x+2x+10)}{x+2}+\dfrac{2}{x+2}[/tex]
[tex]\dfrac{x(x+5)+2(x+5)}{x+2}+\dfrac{2}{x+2}[/tex]
[tex]\dfrac{(x+2)(x+5)}{x+2}+\dfrac{2}{x+2}[/tex]
The first fraction can be simplified to give:
[tex](x+5)+ \dfrac{2}{x+2}[/tex]
Hence, by comparison:
We have simplified the given expression to the required format of:
[tex]p(x)+\dfrac{k}{x+2}[/tex]
Which implies that:
[tex]p(x) = x + 5[/tex] and [tex]k = 2[/tex]
Answer:
Step-by-step explanation:
hope this helps
ASAP PLS! BRAINLIEST
Answer:
[tex]y=-\frac{1}{4}x+4[/tex]
Step-by-step explanation:
So we pick one point from the graph
(0, 4)
[tex]y-y_{1}=m(x-x_{1} ) \\y-4=-\frac{1}{4}(x-0)[/tex]
Answer:
[tex]y-4=-\frac{1}{4}(x)[/tex]
Step-by-step explanation:
Point slope form = y − y1 = m(x − x1)
Our point is 0,4.
So the point slope is
[tex]y-4= (slope)(x)[/tex]
The slope is -1/4.
so,
[tex]y-4=-\frac{1}{4}(x)[/tex]
This is the answer.
what is the slope of (5,8) (0,5)
Answer:
m= 3/5
Step-by-step explanation:
Carley's progress from a 5-kilometer race is displayed in the following graph.
Based on this scatterplot, if Carley runs in a 4-kilometer race and she maintains the same pace, how many minutes will it take her to run 4 kilometers?
Answer:I think the answer is forty minutes
Step-by-step explanation:
HEY RYAN QUESTIONS COMING SOON!!!!!!!!
Answer:
AHHHHH U TELL ME AT THE WORST TIMES HOMIE IMMA TRY THO
I need to know the slope for M and the y-intercept for B
Step-by-step explanation:
slope is -2 and y intercept is -1
PLEASE HELP, I don't understand what to do, your help would be highly a welcomed
Answer:
the persson who aswered this got it right ( up there or down there )
Step-by-step explanation:
Gary is exercising on the stationary bike in his garage. He bikes 3.5 miles in 1/4 of an hour. How many miles could Gary bike in 3/4 of an hour at the same speed?
Given:
Gary bikes 3.5 miles in [tex]\dfrac{1}{4}[/tex] of an hour.
To find:
The distance covered by Gary in [tex]\dfrac{3}{4}[/tex] of an hour at the same speed.
Solution:
We have,
Distance covered in [tex]\dfrac{1}{4}[/tex] of an hour = 3.5 miles
Distance covered in [tex]1[/tex] hour [tex]=4\times 3.5[/tex] miles
Distance covered in [tex]\dfrac{3}{4}[/tex] of an hour [tex]=\dfrac{3}{4}\times 4\times 3.5[/tex] miles
[tex]=3\times 3.5[/tex] miles
[tex]=10.5[/tex] miles
Therefore, Gary could travel 10.5 miles in [tex]\dfrac{3}{4}[/tex] of an hour.
9 29/40 as a decimal
Step-by-step explanation:
I think 9.279..............
A small pool is being drained. There are 1,320 gallons of water remaining in the pool after 2 minutes and 1, 040 gallons after 9
minutes. How long would it take for the pool to be completely drained? (1 point)
Answer: 35 minutes
Step-by-step explanation:
For us to solve the question, we have to calculate the amount of gallons of water that is drained every minute. This will be:
= (1320 - 1040) / (9 - 2)
= 280/7
= 40 gallons per minute
Since we are told that 1,320 gallons of water remain in the pool after 2 minutes. This means that the total water in the pool at the beginning was:
= 1320 gallons + (40 × 2)
= 1320 gallons + 80 gallons
= 1400 gallons
The time taken for the pool to be completely drained will be:
= Total water in pool / Gallons drained per minute
= 1400 / 40
= 35 minutes
Jeff saw 7 identical
withdrawals on his bank
statement that came to a total
of $315. By how much did each
withdrawal change Jeff's
account?
Answer:
$45
Step-by-step explanation:
315/7=45
Answer:
Each withdrawal was $45 dollars
Step-by-step explanation:
315 / 7 = 45
Which set
represents the
domain of the
function shown?
{(-3, 6), (0, 2), (4,
7), (11, 15)}
Select one:
a. {(6,-3), (2, 0), (7,4),
(15, 11)
b. {2, 6, 7, 15)
c. {-3, 0, 4, 11}
d.(-3, 0, 2, 4, 6, 7, 11,
15}
Answer:
its c
Step-by-step explanation:
fractions (I don't know much about them)
Answer:
B
Step-by-step explanation:
I used a calculator
Evaluate [(40 + 5) – 3^2= 9•2
Complete the table using the equation y = 8x + 5.
0
2
3
у
help please :)
What is the value of -216x - y when x = -3 and y = 4?
044
O -28
O 28
O 44
Answer:
- 44
Step-by-step explanation:
The absolute value function always gives a positive result, that is
| - a | = | a | = a
Given
- 2 | 6x - y | ← substitute x = - 3 and y = 4
= - 2 | 6(- 3) - 4 |
= - 2 | - 18 - 4 |
= - 2 × 22
= - 44
Sove the equation for all real solutions
-d^2-12d+4=-6d^2
Answer:
d=25 or d=2
Step-by-step explanation:
hope that helps!
Answer:
d=2/5 or d=2
Step-by-step explanation:
Step 1: Subtract -6d^2 from both sides.
−d2−12d+4−−6d2=−6d2−−6d2
5d2−12d+4=0
Step 2: Factor left side of equation.
(5d−2)(d−2)=0
Step 3: Set factors equal to 0.
5d−2=0 or d−2=0
d= 2/5 or d=2
6x-3x+4-2x= to what no solution, One solution and Infinitely Many Solutions
Answer:
One Solution: x = - 4
Step-by-step explanation:
Step 1:
6x - 3x + 4 - 2x = 0 Equation
Step 2:
3x + 4 - 2x = 0 Combine Like Terms
Step 3:
x + 4 = 0 Combine Like Terms
Answer:
x = - 4 Subtract 4 on both sides
Hope This Helps :)
What is the slope,m?
A. 4/3
B. 3/4
C. - 4/3
D. - 3/4
Answer:
B.3/4
Step-by-step explanation:
Using the inverse of sine, cosine and tangent allow us to find A missing side in a right triangle A missing angle in a right triangle The perimeter of a right triangle Triangular area
Answer:
A missing angle in a right angle.
Step-by-step explanation:
Given, the inverse of trigonometric functions sine, cosine and tangent.
To find:
The value that can be found using the inverse trigonometric functions.
Solution:
First of all, let us consider the right angled triangle attached in answer area.
Hypotenuse is AC, Base is BC and AB is the Altitude/Height of the right angled [tex]\triangle ABC[/tex].
Let us suppose all three sides are known and [tex]\angle C[/tex] is unknown.
Formula:
[tex]1.\ sin\theta = \dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]2.\ cos\theta = \dfrac{Base}{Hypotenuse}[/tex]
[tex]3.\ tan\theta = \dfrac{Perpendicular}{Base}[/tex]
Let us consider [tex]\angle C[/tex].
[tex]sin C = \dfrac{AB}{BC}[/tex]
If we taken inverse:
[tex]sin^{-1} sinC = sin^{-1} (\frac{AB}{BC})[/tex]
[tex]\Rightarrow \angle C = sin^1\frac{AB}{BC}[/tex]
Similar is the case for cosine and tangent.
Therefore, the missing angle of the right angled triangle can be calculated by the inverse of sine, cosine and tangent.
Lol help please xxxx xd
Answer:
Not me looking at the tabs
Step-by-step explanation:
can someone please help me
First, subtract from both sides to get -37 and then add 7 to get -30. Lastly, divide both sides by -3 to get 10.
x=10