Answers
Answer:
1/64
Step-by-step explanation:
Simplify the following:
1/(4^(11/3)×4^(-2/3))
Hint: | Simplify radicals.
1/4^(2/3) = 1/(4^2)^(1/3) = 1/(2^4)^(1/3) = (1/2^(1/3))/2:
1/(4^(11/3)×(1/2^(1/3))/2)
Hint: | Multiply numerator and denominator of 1/(2 2^(1/3)) by 2^(2/3).
Rationalize the denominator. 1/(2 2^(1/3)) = 1/(2 2^(1/3))×(2^(2/3))/(2^(2/3)) = (2^(2/3))/(2×2):
1/(4^(11/3)×(2^(2/3))/(2×2))
Hint: | Multiply 2 and 2 together.
2×2 = 4:
1/(4^(11/3)×(2^(2/3))/4)
Hint: | Separate the exponent of 4^(-11/3) into integer and fractional parts.
4^(-11/3) = 4^(1/3 - 12/3) = 4^(-12/3)×4^(1/3):
(4^(-12/3) 4^(1/3))/((2^(2/3))/4)
Hint: | Divide 12 by 3.
12/3 = (3 (-4))/3 = 4:
(4^(-4) 4^(1/3))/((2^(2/3))/4)
Hint: | Compute 4^4 by repeated squaring.
4^4 = (4^2)^2:
(4^(1/3))/((2^(2/3))/4) 1/(4^2)^2
Hint: | Evaluate 4^2.
4^2 = 16:
(4^(1/3))/(16^2×(2^(2/3))/4)
Hint: | Evaluate 16^2.
| 1 | 6
× | 1 | 6
| 9 | 6
1 | 6 | 0
2 | 5 | 6:
(4^(1/3))/(256×(2^(2/3))/4)
Hint: | Simplify radicals.
4^(1/3) = (2^2)^(1/3):
1/(256×(2^(2/3))/4) 2^(2/3)
Hint: | Write (2^(2/3))/(256×(2^(2/3))/4) as a single fraction.
Multiply the numerator by the reciprocal of the denominator, (2^(2/3))/(256×(2^(2/3))/4) = (2^(2/3))/256×4/2^(2/3):
(2^(2/3)×4)/(256×2^(2/3))
Hint: | Cancel common terms in the numerator and denominator of (2^(2/3)×4)/(256×2^(2/3)).
(2^(2/3)×4)/(256×2^(2/3)) = (2^(2/3))/(2^(2/3))×4/256 = 4/256:
4/256
Hint: | Reduce 4/256 to lowest terms. Start by finding the GCD of 4 and 256.
The gcd of 4 and 256 is 4, so 4/256 = (4×1)/(4×64) = 4/4×1/64 = 1/64:
Answer: 1/64
Related Questions
You bought a lawn mower for $80. For every lawn you cut, you plan to charge
customers $20. Which graph shows how many lawns you must cut to earn back the
money spent on the lawn mower?
Answers
A graph that shows the number of lawns you must cut to earn back the money spent on the lawn mower include the following: B. graph B (top right).
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + c
Where:
m represent the slope or rate of change.x and y are the points.c represent the y-intercept or initial value.Based on the information provided above, a linear equation that models the situation with respect to the rate of change is given by;
y = mx + c
y = 20x - 80
In conclusion, we can logically deduce that the slope is equal to $20 while the y-intercept is $80.
Read more on slope-intercept here: brainly.com/question/7889446
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Find the measures of the numbered angles in the kite.
Answers
Answer:
1 is 90
2 is 52
Step-by-step explanation:
1 is a right angle so its 90
for 2 angles in a triangle equal to 180
so 180-90-38 is equal to 52
If a rectangle is 19.6 m on one side and 24 m on the other side what would be the perimeter and area
Answers
Answer:
Perimeter = 87.2 m
Area = 470.4 square meters
Step-by-step explanation:
Formula to get the perimeter of a rectangle = 2(length + width)
= 2(19.6 + 24)
= 2(43.6)
= 87.2 m
Similarly by using formula to get the area of the rectangle,
Area = Length × Width
= 19.6 × 24
= 470.4 m²
M mrs. Gallegos Burns 236 calories riding her bike each hour she wants to burn more than 590 calories riding her bike at the same rate which inequality represents all possible values for teeth and number of hours mrs. Vehicles must ride her bike to burn more than 590 calories
Answers
Answer: x > 2.5
Step-by-step explanation:
Since Mrs Gallegos burns 236 calories riding her bike each hour and she wants to burn more than 590 calories riding her bike at the same rate, the inequality that will represent the number of hours that she will use will be:
x > 590/236
x > 2.5
She must ride the bike for more than 2 1/2 hours to burn more than 590 calories.
50 POINTS brainlist too! Help
Answers
Answer: A). V = 1/3(3)(3)(5)
Step-by-step explanation:
• Use the volume of a pyramid formula: V = 1/3Bh, where h is height, V is volume, and B is the base area.
• The base area is length (l) • width (w), so use that to substitute B.
• Substitute the values to get the answer: A). V = 1/3(3)(3)(5)
No problem! I'm happy to help you!
Which number is the best approximation for 5√2 + 2√3?
Answers
Answer:
The answer is 10,5
Step-by-step explanation:
can i have brainliest please
HELPPP
Verify that csc theta cos theta tan theta=1
Answers
Answer:
See Explanation
Step-by-step explanation:
[tex] \csc \theta \: \cos \theta \: \tan \theta = 1 \\ \\ LHS = \csc \theta \: \cos \theta \: \tan \theta \: \\ \\ = \frac{1}{ \sin \theta} \: \times \cancel{ \cos \theta }\: \times \frac{ \sin \theta}{ \cancel{ \cos \theta }} \\ \\ = \frac{1}{ \cancel{ \sin \theta}} \: \times \cancel{ \sin \theta} \\ \\ = 1 \\ \\ = RHS \\ \\ hence \: proved[/tex]
Answer:
a) Only the first one is an identity.
Step-by-step explanation:
1). 8 cos O tan O csc O = 8 simplifies to:
cos O tan O csc O = 1
cos O * (sin O / cos O) * (1 /sin O)
= cos O sin O / cos O sin O
= 1
So it is identity.
2) 13 sec^2 O/ cos^2 O - tan^2 O / cos^2O
= 13 sec^2 O - tan^2 O / cos^2 O
Now sec^2 O = 1 + tan^2 O, so we have:
(13( 1 + tan^2 O) - tan^2 O) / cos^2 O
= (12 tan^2 O + 13) / cos^2 O
This is not always = 2 so its not an identity.
Step-by-step explanation:
How many solutions can Quadratic functions have?
Answers
Answer:
2 solutions
Step-by-step explanation: As we have seen, there can be 0, 1, or 2 solutions to a quadratic equation, depending on whether the expression inside the square root sign, (b2 - 4ac), is positive, negative, or zero. This expression has a special name: the discriminant.
Using Cramer’s rule, what is the value of x in the solution to the system of linear equations below?
-1/2x+3y=-4
-x-y=-1
a -2
b -1
c 1/2
d 2
Answers
9514 1404 393
Answer:
d 2
Step-by-step explanation:
The system of equations can be written in augmented matrix form as ...
[tex]\displaystyle\left[\begin{array}{cc|c}-\frac{1}{2}&3&-4\\-1&-1&-1\end{array}\right][/tex]
The value of x found by Cramer's rule is the ratio of two determinants. The numerator is the coefficient matrix with the x-column replaced by the constant column. The denominator is the coefficient matrix.
[tex]\displaystyle x=\frac{\left|\begin{array}{cc}-4&3\\-1&-1\end{array}\right| }{\left|\begin{array}{cc}-\frac{1}{2}&3\\-1&-1\end{array}\right|}=\frac{(-4)(-1)-(-1)(3)}{(-\frac{1}{2})(-1)-(-1)(3)}=\frac{4+3}{\frac{1}{2}+3}\\\\\boxed{x=2}[/tex]
Using the Cramer's rule, the value of x in the system of equation is 2
How to solve for x?The system of equation is given as:
-1/2x + 3y = -4
-x - y = -1
Represent the above equation as a matrix
[tex]\left[\begin{array}{cc}-1/2&3\\-1&-1\end{array}\right] \left[\begin{array}{c}-4&-1\end{array}\right][/tex]
Start by calculating the determinant of the matrix
|A| = -1/2 * -1 - 3 * -1
Evaluate
|A| = 7/2
To calculate x, we replace the first column by the last.
So, we have:
[tex]\left[\begin{array}{cc}-4&3\\-1&-1\end{array}\right][/tex]
Next, calculate the determinant of the matrix
|x| = -4 * -1 - 3 * -1
|x| = 7
The value of x is then calculated as:
x = |x|/|A|
This gives
x = 7 ÷ 7/2
Evaluate
x = 2
Hence, the value of x is 2
Read more about Cramer’s rule at:
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A dolphin is swimming 3 feet below sea level and then jumps up 10 feet. What
is its height at the top of the jump?
Answers
Answer: 7 ft
Step-by-step explanation:
Largest three-digit multiple of 2
Answers
Answer:
956
Step-by-step explanation:
Answer:
658
Step-by-step explanation:
A rectangle has an area of 588 square meters. The rectangle is 6 meters wide. How long is it?
Answers
Answer:
98 m long
Step-by-step explanation:
588/6 = 98 m long
A shipping container will be used to transport several 40-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 23000 kilograms. Other shipments weighing 7800 kilograms have already been loaded into the container.
Answers
The question is incomplete. The complete question is :
A shipping container will be used to transport several 40-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 23000 kilograms. Other shipments weighing 7800 kilograms have already been loaded into the container. Which inequality can be used to determine cc, the greatest number of 80-kilogram crates that can be loaded onto the shipping container?
Solution :
Given data :
Weight of the crate = 40 kg
Greatest weight that the container can load = 23000 kg
Weight of the other shipments on the container = 7800 kg
So the greatest number of 40 kg crates = c
Therefore, the weight of the other shipment + weight of crate x number of crates ≤ greatest weight of the container
7800 + (40 x c) ≤ 23000
7800 + 40c ≤ 23000
40c ≤ 23000 - 7800
40c ≤ 15200
c ≤ 380
Hence, the maximum number of 40 kg crate is 380.
When the points below are connected, they will form triangle ABC. Show and state whether this triangle has a right angle or not. (Hint: Use slope to prove that there is a 90 degree angle) Drawing a graph will not award you any marks. *
A(-6,3) B(0,5) C(2,-1)
PLS HURRY I NEED ALL THE STEPS TOO THANK YOU!!!!!
Answers
Answer:
See explanartions below
Step-by-step explanation:
Given the coordinates A(-6,3) B(0,5) C(2,-1)
We first need to get the slope of AB, BC and AC
For AB;
A(-6,3) B(0,5)
Mab = 5-3/0-(-6)
Mab = 2/6
Mab = 1/3
For BC;
B(0,5) C(2,-1)
Mbc = -1-5/2-0
Mbc = -6/2
Mc = -3
For AC:
A(-6,3) C(2,-1)
Mac = -1-3/2-(-6)
MAc = -4/8
Mac = -1/2
Taking the product of Mab and Mbc
Mab * Mbc = 1/3 + -3
Mab * Mbc = -1
Since the product of Mab and Mbc is -1, hence AB abd BC are perpendicular showing that one of the angle of triangle ABC is 90 degrees
Help me please it’s important !
Answers
Answer:
90
9
Step-by-step explanation:
As part of his science project, Steve recorded the number of eggs laid by several lizards from the local pet shop. The data Steve collected is provided below.
10, 7, 8, 8, 9, 10, 9, 10, 8, 11, 11, 9, 7,10, 9
In his report, Steve should use the (mean/median/IQR) as a measure of the center since his data is (Standard deviation/ normally distributed/ skewed).
Answers
Answer:Mean and Normally distributed
Step-by-step explanation:
Find two numbers when multiplied
equal -49 and when added equal o
Answers
Answer:
7 and -7
Step-by-step explanation:
7*-7 = -49
7+(-7)=0
pls help asap for brainlest
Answers
Answer:
the answer is C ik its right because i did this two days ago so im sure its C
Step-by-step explanation:
[tex]12 \sqrt{1245} [/tex]
Answers
Answer:
yeah
Step-by-step explanation:
13 Dec 2020 — Multiply the divisors to find the lcm of 6, 12 and 18 ... given ratio: 5: 2: 8[tex]\frac{1245}{5+2+8}[/tex][tex]\frac{1245}{15}[/tex][tex]83[/tex]mango trees: 83 × 5
pt 4 help me -_-... i wasnt listening
Answers
Answer:
C. 264 cubic inches
Step-by-step explanation:
The formula for volume is Length times height times width. So you just multiply all of the numbers and you get your answer.
A baseball team has a goal of hitting more than 91 home runs this season. They average 7 home runs each game and have
already hit 35 home runs so far. How many more games, x, will it take the baseball team to reach its home run hitting goal if they
continue to average 7 home runs per game?
Select the number line that includes the fewest number of games the team can play and still meet their goal
Answers
Answer:
8.
Step-by-step explanation:
91-35=56
56/7=8
Answer:
It's D on study island
Step-by-step explanation:
Can someone please help me
Answers
Answer:
16.8 cm³
Step-by-step explanation:
Volume= length x width x height
length x width x height = Volume
4 x 1.4 x 3 = 16.8 cm³
Answer:
16.8 cm
Rounded: 17 cm
Step-by-step explanation:
Use the Volume formula: V= W*L*H (width x length x height)
V= 4*3*1.4
V= 16.8
Write an equivalent expression for l + w + l +w
Please help am gonna get an F
Answers
Answer:
2w + 2L is the answer I think, but see the discussion below.
Step-by-step explanation:
There are three possibilities.
One
| = 1
so you get 1 + w + 1 + w = 2 + 2w
Two
l = L
l + w + l + w
So you get 2l + 2w. Since the l is so confusing, I normally use L for l. It's not very pretty but it does work
In this instance, you would get 2L + 2w
Three
| could be an absolute value signal. If that is the case, you should use abs(+w+)
Of the three, I think two is what you intended.
Sam is making wheels for tricycle. He can make 400 wheels in 2 hours. how many hours will it take him to make 1,000 wheels.
Answers
Answer:
5 hours.
Step-by-step explanation:
800 wheels in 4 hours.
Half of 400 is 200.
Half one 2 is 1
So 1000 wheels. 5 hours.
How do I find GD? Giving Brainly
Answers
Answer:
cut it in half, your answer is 11
Answer:
GD: 3.5
Step-by-step explanation:
You said CE is 7, and GD is half the length of CE. So based off of your answer for CE, GD equals 3.5
Stefanie bought a package of pencils for $1.75 and some erasers that cost $0.25 each. She paid a total of $4.25 for these items.
Answers
Answer:
Stefanie bought 10 erasers.
Step-by-step explanation:
Stefanie bought a package of pencils for $1.75 and some erasers that cost $0.25 each. She paid a total of $4.25 for these items.
Beind "x" be the number of erasers bought, you can express Stepanie's purchases by the equation:
1.75 + 0.25*x = 4.25
Solving:
0.25*x = 4.25 - 1.75
0.25*x = 2.5
x= 2.5÷ 0.25
x=10
Stefanie bought 10 erasers.
Answer:
10 erasers
Step-by-step explanation:
suppose that 10000 is invested at 5.5% compounded quarterly. Find the total investment after 4 years
Answers
T go bby the r tvybuu y
5. Which could be the value of x in
the triangle below?
3x
19
6
A
10
С
6
B
9
D
4.
Answers
answer:
4
explanation:
3x-6=19
3x=19-6
3x=13
3x÷3=13÷3
x=4
SOIUTION.
2. Omar is on a diet and eats no more than
1,800 calories per day. If he has consumed
385 calories so far today, how many more
calories he can consume?
Inequality
Solution
HELP HELP WILL MARK BRAINLEST ANSWER FAST
Answers
Sets that are made up of isolated points and can be written as lists are called ____ sets. a. Discrete b. Element c. Continuous d. Infinite
Answers
Answer:
Discrete set
Step-by-step explanation:
A discrete consists of a fixed number of elements, such that each element or point in the set is a standalone point or isolated. This differs from a continous set which still consists of points in between each set of values. Therefore the property of isolated point is a characteristic of a discrete set. The can be written as a list. The values are isolated on a discrete set as opposed to that of a continuous set whereby values can take up any value within any two intervals in the set.