Answers
Answer:
a) 7
b)64
c)2
Step-by-step explanation:
look at images
Answer:
x = 2
Step-by-step explanation:
The topic here is "fractional exponents."
Review: 2^3 = 8 (this is the cube of 2), and so the inverse function is
8^(1/3) = 2 ("8 raised to the fractional exponent 1/3 is 2"
Question a) 49^(1/2) ("49 to the power 1/2") can be rewritten as
(7^2)^(1/2), which simplifies to 7^(2*1/2) = 7^1 = 7
Caution: this is exponentiation, not division. So 49^(1/2) does not equal 49/2.
Question b) ( )^(1/3) = 4
I would prefer to write this as x^(1/3) = 4 and set the goal of finding the value of the base, x.
Then x^(1/3) = 4 ("x raised to the power 1/3 is 4")
Let's elimiinate the fractional exponent on the left by cubing both sides of the equation:
{x^(1/3)}^3 = 4^3, or, after simplification,
x^1 = 64, or, in simplest form,
x = 64
Question c)
Notice that the base here is 1/100
and that the square root of 1 is 1 and that of 100 is 10.
Therefore, the given
{1/100} is equivalent to {1/10)^2
and so we have:
1 1
(------------)^(1/x) = ------- (we are to find x)
10^2 10
Note that 10 is the square root of 10^2, also the square root of 100.
So let's take the square root of 10^2. We get 10.
Therefore, try x = 2 and see whether the given equation is true:
1 1
{---------)^(1/2) = ------
100 10
The square root of 1 is just 1. The square root of 100 is 10.
Therefore the above equation becomes
1 1
----- = ----- and so x = 2 is correct.
10 10
Related Questions
What is the slope of the line?
Answers
Answer:
[tex]m=\frac{-4}{5}[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in 2 coordinates into the slope formula to find slope m:
(-3, 1)
(2, -3)
[tex]m=\frac{-3-1}{2-(-3)}[/tex]
[tex]m=\frac{-4}{2+3}[/tex]
[tex]m=\frac{-4}{5}[/tex]
what ordered pair would describe each intersection?
y=8-X and y=5X-40
Answers
Answer:
(8, 0 )
Step-by-step explanation:
Given the 2 equations
y = 8 - x → (1)
y = 5x - 40 → (2)
Substitute y = 5x - 40 into (1)
5x - 40 = 8 - x ( add x to both sides )
6x - 40 = 8 ( add 8 to both sides )
6x = 48 ( divide both sides by 6 )
x = 8
Substitute x = 8 into either of the 2 equations and solve for y
Substituting into (1)
y = 8 - 8 = 0
Solution is (8, 0 )
7 7/8 + 2 1/3 = x this is a problem tht I’m struggling with
Answers
First, before we can add, we have to find a common denominator.
We can use 24.
7 7/8 x 3/3 = 7 21/24
2 1/3 x 8/8 = 2 8/24
Now we add.
7 21/24 + 2 8/24 = 9 29/24 (denominator stays the same)
Lastly, simplify
9 29/24 = 10 5/24
Hope this helps
Let's solve your equation step-by-step
7 7/8 +2 1/3 =x
Step 1: Simplify both sides of the equation
245/24 =x
Step 2:Flip the equation
x=245/24
Answer: x=10 5/24
What is a uniform circular motion?
a. Uniform circular motion is when an obiect accelerates on a
circular path at a constantly increasing velocity
b. Uniform circular motion is when an object travels on a
circular path at a variable acceleration
c. Uniform circular motion is when an object travels on a
circular path at a constant speed
d. Uniform circular motion is when an object travels on a
circular path at a variable speed (answer this quickly pls)
Answers
Answer:
C. Uniform circular motion is when a object travels on a circular path at a constant speed.
If anyone can help me please with the this problem (picture above)
Answers
Answer:
6x-3=9
Step-by-step explanation:
i dont really get what it means by set up an equation but heres what i know-
36 is the perimeter so divide it by 4 to get the length of each side-
36/4=9
now you know that each side is 9, so 6x-3=9
when you solve that, x=2
4(6x-3)= 36
24x-12=36
+12=+12
24x=48
24x/24=48/24
x=2
Check:
6x-3=36
4(6(2)-3)=36
4(12-3)=36
48-12=36
36=36
Add −1310+25 using the number line.
Select the location on the number line to plot the sum.
Answers
Answer:
the answer is -1285
Step-by-step explanation:
unfortunately i do not have a number line but the equation -1310+25 can also be written as 25-1310.
think of it like doing 1310-25 which is positive 1285. because the negative sign is on the bigger number, the answer should be negative, making the sum -1285.
hope this helps!!
ASAP I need help on this
Answers
Answer: x = 6x/5
Step-by-step explanation:
Answer:
x = 10/3
Step-by-step explanation:
[tex]\frac{x}{2} + \frac{2}{2} = \frac{4x}{5}[/tex]
[tex]\frac{x + 2}{2} = \frac{4x}{5}[/tex]
[tex]x + 2 = \frac{8x}{5}[/tex]
5x + 10 = 8x
10 = 3x
x = 10/3
The value of y varies directly with x. When y=2 4/7, x=3/7 .
What is the value of y when x is 2/7 ?
A. 1 5/7
B. 2 /37
C. 3 1/7
D. 3 4/7
Answers
Answer:
1 5/7
Step-by-step explanation:
I literally just took the test so yeah
Answer:
I think the answer is 2 3/7. because you are decreasing 1/7.
Step-by-step explanation:
thanks for answering!!!
Answers
Answer:
1. b⁵
2. +16m⁹
Step-by-step explanation:
1. Add exponents: b³⁺² = b⁵
2. Negative and Negative = positive
2*8 = 16
m⁴⁺⁵ = m⁹
Hence: + 16m⁹
Answer:
[tex]1) \: {b}^{5} [/tex]
[tex]2) \: \: + 16 {m}^{9} [/tex]
Step-by-step explanation:
[tex] {b}^{3} \times {b}^{2} = {b}^{3 + 2} = {b}^{5} [/tex]
we know that
[tex]( - ) \times( - ) = ( + )[/tex]
So
[tex] - 2 {m}^{4} \times - 8 {m}^{5} \\ = + 16 {m}^{9} [/tex]
What is the domain of the relation?
-4 <= x <= 4
-4 < x < 4
-4 <= x <= 6
-4 < x < 6
Answers
Answer:
Step-by-step explanation:
Answer:C->-4<=X<=6
Second answer:A -4<=y<=4
Third answer: yes
According to the given graph, the domain of the function is -4 to 6, So Option C is correct
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Vertical line test:-
Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.
If we get more images then it will not be a function.
For example, let us take, y² = 4ax
y = ±√4ax
For single value of x we get two values of y
Hence, it will not be a function.
Given that,
The graph,
Which has values of x in the interval of -4 to 6
And the value of y in the interval of -4 to 4
So, for any function all the values of x for which function is defined
that interval is a domain of a function
And, for input of values of x all the output values of y are known as range of a function
Domain: -4 ≤ X ≤ 6
Range: -4 ≤ Y ≤ 4
Hence, the domain is -4 ≤ X ≤ 6
To know more about Functions check:
https://brainly.com/question/5975436
#SPJ2
Regina has a bag of marbles that contains 3 blue marbles, 4 red marbles, and 5 yellow marbles. She draws one marble, then replaces it, and draws one more.
There are
possible outcomes.
The probability the first drawn marble will be blue is
.
The probability the second marble drawn will be yellow is
.
So, P(blue, then yellow) =
.
Answers
Answer: 12, 1/4, 5/12, 5/48
Step-by-step explanation:
i got it right
Answer:
12,
1/4,
5/12,
5/48
Step-by-step explanation:
Have a great day!
Please help I’ll give brainiest!!
Answers
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
They have you pay a initial amount of $2
A kilogram of potatoes cost $25.A dozen bananas cost $40.
a) Write an algebraic expression for the total cost of n kilograms of potatoes and one dozen bananas.
b) Evaluate your expression to determine the cost of 15kg of potatoes and one dozen bananas
Answers
Answer:
a) T = 25n + 40
b) T = $415
Step-by-step explanation:
The total cost of 'n' kilograms of something can be expressed as 'n' multiplied by the cost, since it is a constant cost per unit. Therefore the price for n kg of potatoes can be expressed as 25n. We are also told that a dozen bananas cost $40, so our expression is the cost of potatoes added to the cost of bananas. So, is we use 'T' for total cost, our expression will look like this:
T = 25n + 40
Now we can use this expression to find the cost of 15kg of potatoes and the same amount of bananas. We can do this by simply substituting the given amount for n:
T = 25(15) + 40
T = 375 + 40
T = $415
The cost of 15kg of potatoes and one dozen bananas is $415.
Hope this helped!
Enzo and Beatrice are playing games at their local arcade incredibly ends wins five tickets from every game in the trees wins 11 tickets from every game when they stop playing games Enzo in the trees had won the same number of total tickets what is the minimum number of games that Enzo could have played
Answers
Answer:
22 games
Step-by-step explanation:
In order to find the minimum number of games that Enzo played we need to find the least common multiple of tickets where both Enzo and Beatrice are equal. To do this we simply find all the multiples of the number of games each could have played by the number of tickets per game until we find one in common.
5*1 = 5 11*1 = 11
5*2 = 10 11*2 = 22
5*3 = 15 11*3 = 33
5*4 = 20 11*4 = 44
5*5 = 25 11*5 = 55
... ...
... ...
... ...
5*22 = 110 11*10 = 110
Finally, we can see that the minimum amount of games that Enzo needs to play in order for both Enzo and Beatrice to have the same amount of tickets is 22 games.
Jeremy has $30. He pays $8 to wash his car. His friend pays back $16 that Jeremy had loaned to him. How much money does Jeremy have now?
Answers
Answer: $38 because 30-8= 22, 22+16=38
Answer:
38 dollars
Step-by-step explanation:
He starts with 30, loses 8 so 30-8 is 22 and he gets 16 so 22+16 is 36
Can someone help me
7 + 2h = 3 + 4h
Answers
h = 2
[tex]7 + 2h = 3 + 4h[/tex]
You must isolate the variable to solve using the order of operations, or PEMDAS.
[tex]4 = 2h[/tex]
Subtract 3 from both sides of the equation, and subtract 2h from both sides of the equation.
[tex] \frac{4}{2} = h[/tex]
Divide both sides of the equation by 2.
[tex]h = 2[/tex]
who wants a brainly :D if u get this right what is 1567÷7
Answers
Answer: 223.8571428571429
Step-by-step explanation:
Math
Answer:
223.857143
I hope this helps!
The vertices of a figure are FC -9,- 9),G-3, -6),H(-3,-9). Find the coordinates of the image after a dilation with a scale factor of 2 3 and then a translation 6 units up.
Answers
Transformation involves changing the size and position of a figure.
The new coordinates of the figure is:
[tex]\mathbf{F" = (-6,0)}[/tex]
[tex]\mathbf{G" = (2,2)}[/tex]
[tex]\mathbf{H" = (-2,0)}[/tex]
The coordinates are given as:
[tex]\mathbf{F = (-9,-9)}[/tex]
[tex]\mathbf{G = (3,-6)}[/tex]
[tex]\mathbf{H = (-3,-9)}[/tex]
When the figure is dilated by 2/3, the new coordinates are:'
[tex]\mathbf{F' =\frac 23 \times (-9,-9) = (-6,-6)}[/tex]
[tex]\mathbf{G' =\frac 23 \times (3,-6) = (2,-4)}[/tex]
[tex]\mathbf{H' =\frac 23 \times (-3,-9) = (-2,-6)}[/tex]
When the figure is further translated up by 6 units, the new coordinates are:
[tex]\mathbf{F" = (-6,-6 + 6) = (-6,0)}[/tex]
[tex]\mathbf{G" = (2,-4 + 6) = (2,2)}[/tex]
[tex]\mathbf{H" = (-2,-6 + 6) = (-2,0)}[/tex]
Hence, the new coordinates are:
[tex]\mathbf{F" = (-6,0)}[/tex]
[tex]\mathbf{G" = (2,2)}[/tex]
[tex]\mathbf{H" = (-2,0)}[/tex]
Read more about transformation at:
https://brainly.com/question/11707700
Answer:
F is (-6,0) and G is (-2,2) and H is (-2,0) I'm only putting my answer too because the other person said 2,2 and its -2,2
Step-by-step explanation:
What can I put down? someone helpppp
Answers
Answer:
The rate of change can be expressed with the formula x = Rise/Run And in this graph it rises 1 and runs 1 meaning you have a slope of 1/1 or 1 :)
A robot can complete 3 tasks in 2/5 hour.
How many tasks can the robot completein one hour
Answers
Answer:
1.2 tasks per hour, round to 1 if needed
Step-by-step explanation:
An evil supervillian has launched a satelite from his/her flying carrier. The satelite's height, in meters
above sea level, as a function of time, t, in seconds, is given by
h(t) = – 4.9t^2+ 165t + 160
Answers
Answer:
Where is the question?
Step-by-step explanation:
The value of y varies directly with x. When y= 2 4/7, x= 37 .
What is the value of y when x is 27 ?
1 5/7
2 3/7
3 1/7
3 4/7
Answers
Answer:
Option (a).
Step-by-step explanation:
The value of y varies directly with x. It would mean that,
y=kx, where k is constant
When
[tex]y=2\dfrac{4}{7},x=\dfrac{3}{7}\\\\y=\dfrac{18}{7}, x = \dfrac{3}{7}[/tex]
then,
[tex]\dfrac{18}{7}=k\times \dfrac{3}{7}\\\\k=6[/tex]
When x = 27,
[tex]y=6\times \dfrac{2}{7}\\\\y=\dfrac{12}{7}\\\\\text{or}\\\\y=1\dfrac{5}{7}[/tex]
So, the value of y is [tex]1\dfrac{5}{7}[/tex] when x is 27.
Help me please an thank you
Answers
Answer:
The measurement of angle PTQ is 40°
Answer:
40
Step-by-step explanation:
2x+16= x+28
(vertical opp. angles)
x=12
PTQ= x+28= 12+28= 40
Hope it will help:)
What scale factor is required to dilate triangle abc to make it congruent to triangle efd
Answers
Answer:
And so, in fact, we can perform a series of similarity transformations that map to . And so, the answer is yes, triangle would need to be dilated by a scale factor of three, rotated, and then reflected.
Step-by-step explanation:
M∠LON=77 ∘ m, angle, L, O, N, equals, 77, degrees \qquad m \angle LOM = 9x + 44^\circm∠LOM=9x+44 ∘ m, angle, L, O, M, equals, 9, x, plus, 44, degrees \qquad m \angle MON = 6x + 3^\circm∠MON=6x+3 ∘ m, angle, M, O, N, equals, 6, x, plus, 3, degree
Answers
Answer:
Step-by-step explanation:
Given
<LON = 77°
<LOM = (9x+44)°
<MON = (6x+3)°
The addition postulate is true for the given angles since tey have a common point O:
<LON = <LOM+<MON
Since we are not told what to find we can as well look for the value of x, <LOM and <MON
Substitute the given parameters and get x
77 = 9x+44+6x+3
77 = 15x+47
77-47 = 15x
30 = 15x
x = 30/15
x = 2
Get <LOM:
<LOM = 9x+44
<LOM = 9(2)+44
<LOM = 18+44
<LOM = 62°
Get <MON:
<MON = 6x+3
<MON = 6(2)+3
<MON = 12+3
<MON = 15°
Answer: 15° is right on khan academy
HURRY ILL MARK BRAINLIEST
Answers
Answer:
It's A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
brainllest welcomed
heloppppp meeee agiinnnn
Answers
Answer:
x=3
Step-by-step explanation:
3(x-2)+x-1=5
3x-6+x-1=5
4x-7=5
4x=12
x=3
Answer:
3
Step-by-step explanation:
3(x-2)+x-1=5
3(x-2)+x=6
3x-6+x=6
3x+x=12
4x=12
x=3
Here are three lamps.
lamp C
lamp B
lamp A
Lamp A flashes every 20 seconds.
Lamp B flashes every 45 seconds.
Lamp C flashes every 120 seconds.
The three lamps start flashing at the same time.
How many times in one hour will the three lamps flash at the same time?
Answers
Answer with step-by-step explanation:
First of all, we need to calculate how many times the 3 lamps flash in a minute. We can do this by finding their LCM (least common multiple), which is 360. 360 is equivalent to 6 minutes, so that is going to be our test time. Lamp a flashes every 20 seconds, so 360/20 = 18 flashes. Then, 360/45 = 8 flashes. Finally, 360/120 = 3 flashes. 18 + 8 + 3 = 29 flashes per 6 minutes. If so, we multiply 29 by 10, because 60 minutes per hour ÷ 6 minutes = 10. So 29 × 10 = 290 flashes per hour
Hope this helped! (brainliest please)
Solve for x.
3
2
5
7
Answers
Answer:
4x + (13x–7) = 112°
=> 4x + 13x = 112+7
=> 17x = 119
=> x = 119/17
=> x = 7
How can you tell by just looking at the coefficients of -2x² and 2x2 that the terms will add to zero?
Answers
Answer:
Their coefficient have the same number but with opposite sign
Step-by-step explanation:
We can tell that the two coefficient will add to zero because they have the same value but opposite signs.
When two numbers are of the same value but with opposite sign, they add up to zero.
The given numbers are;
-2x² and 2x²
Coefficient is the number before the variable. Here, the variable is x,
-2x² = -2
2x² = 2
-2 + 2 = 0