Answer:
The order is "D, B, A, E, C".
Step-by-step explanation:
The numbers are as follows:
[tex]A=\frac{2^{1/2}}{4^{1/6}}\\\\B = \sqrt[12]{128}\\\\C=(\frac{1}{8^{1/5}})^{2}\\\\D = \sqrt{\frac{4^{-1}}{2^{-1}\cdot 8^{-1}}}\\\\E = \sqrt[3]{2^{1/2}}\cdot 4^{-1/4}[/tex]
Simplify the value of A, B, C, D and E as follows:
[tex]A=\frac{2^{1/2}}{4^{1/6}}=\frac{2^{1/2}}{2^{2/6}}=\frac{2^{1/2}}{2^{1/3}}=2^{1/2-1/3}=2^{1/6}=1.1225\\\\B = \sqrt[12]{128}=(128)^{1/12}=(2^{7})^{1/12}=2^{7/12}=1.4983\\\\C=(\frac{1}{8^{1/5}})^{2}=(\frac{1}{(2^{3})^{1/5}})^{2}=(\frac{1}{2^{3/5}})^{2}=\frac{1}{2^{3/5\times2}}=\frac{1}{2^{6/5}}=2^{-6/5}=0.4353\\\\D = \sqrt{\frac{4^{-1}}{2^{-1}\cdot 8^{-1}}}=\sqrt{\frac{2^{-2}}{2^{-1}\cdot 2^{-3}}}=\sqrt{2^{-2+1+3}}=2\\\\E = \sqrt[3]{2^{1/2}}\cdot 4^{-1/4}= (2^{1/2})^{1/3}\cdot 2^{-2/4}=2^{-1/3}=0.7937[/tex]
Arrange the following numbers in increasing order as follows:
D > B > A > E > C
Thus, the order is "D, B, A, E, C".
Answer:
C, E, A, B, D
Step-by-step explanation:
I had this question and this was the correct answer
I honestly don't know how to explain this further
Answer:
24
Step-by-step explanation:
divide 65/8 and then multiply that by 3 and round to the nearest whole number
Write each ratio in its simplest form.
A) 9 feet: 4 yards
B) 5 gallons : 8 quarts
C) 800 centimeters: 2 meters
Answer:
A. 4 yards = 12 ft
9 ft : 12 ft = 3:4
B. 5 gallons = 20 quarts
20 quarts : 8 quarts = 5:2
C. 2 meters = 200 cm
800 cm : 200 cm = 4:1
Answers:
A) 3:4
B) 5:2
C) 4:1
Step-by-step explanation:
Convert 4 yards to feet.
1 yard = 3 feet
4 yards = 12 feet
9 feet : 12 feet
Simplify the ratio.
9/3 : 12/3
3 feet : 4 feet
3 : 4
Convert 8 quarts to gallons.
1 quart = 0.25 gallons
8 quarts = 2 gallons
5 gallons : 2 gallons
5 : 2
Convert 2 meters into centimeters.
1 meter = 100 centimeters
2 meters = 200 centimeters
800 centimeters : 200 centimeters
Simplify the ratio.
4 : 1
Suppose f(x) = x2 and g(x)= (1/4x)2Which statement best compares the
graph of g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) shifted į units right.
B. The graph of g(x) is the graph of f(x) horizontally compressed by a
factor of 4
C. The graph of g(x) is the graph of f(x) vertically stretched by a
factor of 4.
D. The graph of g(x) is the graph of f(x) horizontally stretched by a
factor of 4.
Answer:
B.
Step-by-step explanation:
Since the variable b is manipulated in f(x) = a(bx - h)² + k, we are dealing with horizontal compression and stretching. Since b < 1, that means the graph is being horizontally compressed.
A factory can work its employees no more than 6 days a week, and no less than 2 days per
week. Create an inequality to represent the range of days an employee can work. Solve
the inequality to determine the range in hours if the work day is 6.5 hours. Show all of your
work.
Answer:
Step-by-step explanation:
Answer: A.) 2 <= X <= 6
B.) 13 < = X < = 39
Step-by-step explanation:
Given that a factory can work its employees no more than 6 days a week, that is, less than or equal to 6 days a week
And also, no less than 2 days per week. That is, greater than or equal to 2 day a week.
Let X represent the number of days an employee can work per week.
According to the first statement,
X < = 6
According to the second statement,
X >= 2
An inequality to represent the range of days an employee can work will be
2 < = X <= 6
To represent the range in hours, first convert the number of days to hour. Given that an employee can work
1 day = 6.5 hours
2 days = 2 × 6.5 = 13 hours
5 days = 6 × 6.5 = 39 hours
Therefore, the range will be
13 < = X < = 39
The cost of a car is supposed to be no more than 80% of the value for the next year's
model. If a car costs $14,000, what is the cost of the next year's model?
Answer:
x ≥ 17,500
Step-by-step explanation:
To solve this problem, we will follow the steps below:
let x be the cost of the next year's model
Writing the question in a mathematical format yield
$14,000 ≤ 80% of x
This implies ;
80% of x ≥$14,000
80% × x ≥$14,000
[tex]\frac{80X}{100}[/tex] ≥ $14,000
multiply both-side of the inequality by 100
[tex]\frac{80X}{100}[/tex] × 100 ≥ $14,000 × 100
at the left hand-side of the inequality 100 will cancel-out 100 leaving us with just 80x
80x ≥ $1,400,000
Divide both-side of the equation by 80
80x /80 ≥ $1,400,000/80
x ≥ 17,500
Parents sold 275 tickets for a fundraiser at the community center. Student tickets cost $3, and adult tickets cost $5. The total value of tickets sold is $1,025. Which system of equations represents the problem? 3x + y = 275 x + 5y = 1025 y = 275 3x + y = 1025 x + y = 275 3x + 5y = 1025 y = x + 275 x + y = 1025
Answer:
3x+5y=1025
x+y=275
Step-by-step explanation:
We can use system of equations to solve this problem. Let's use x for student tickets and y for adult tickets.
Equation 1
3x+5y=1025
This equation comes from the cost of tickets. Each child ticket costs $3 and each adult ticket costs $5. The total value of tickets sold is $1025.
Equation 2
x+y=275
The total amount of tickets sold was 275.
[tex]\frac{y-95}{4} = 1[/tex]
y = _____
HELP ME OUT PLEASE!! -Find the number: 25% of a number is a lb.
Answer:
I’m going to generalise the answer in the hope of preventing a billion questions with the % changed a little.
If you have a calculator X% just means multiply by X and divide by 100.
If you don’t have a calculator or paper handy, you can split the problem: I’ll do it for 25% but in this case the other answers are simpler.
25%=10%+10%+5%.
Now 10% is easy, just move the decimal one place to the left, for instance 35 becomes 3.5.
5% is half of 10% 3.5/2=1.75
Add it all up: 3.5+3.5+1.75= 8.75. Done.
You don't even need to know multiplication above 5x tables, for instance
37% is 10%+10%+10%+7% but that requires multiplying by 7.
37% is also 10%+10%+10%+10% -3% only requiring 3x table.
I'm not sure if this is what you mean but here ya go
Answer:25%=
25/100
25/100 * 1/1
100 * 1/25*1=
100/25=
4
Step-by-step explanation:
the number 4,928 will be rounded to the nearest hundred. what is the rounding digit
Answer:
4928 rounded to the nearest hundred is:
4900
Step-by-step explanation:
Hope this hepls you!!
The number 4,928 will be rounded to the nearest hundred is 4900.
What is rounding off numbers?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The crucial figures are preserved when numbers are rounded off.
Given to round off 4928 to the nearest 100
steps to round off,
Determine the two consecutive multiples of 100 that bracket 4928
4928 is between 4900 and 5000
4950 is the midpoint between 4900 and 5000
from the number line, 4928 is less than the midpoint 4950,
Therefore, 4928 rounded to the nearest 100 is 4900.
Hence the digit is 4900.
Learn more about rounding off numbers;
brainly.com/question/13391706
#SPJ2
Jessica purchased a 600-minute pre-paid phone card and called her sister at college. After talking to her sister "t" minutes, she had less than 600 minutes on her calling card. (a) Write an equation to determine the number of minutes remaining on the card. (b) Now, suppose she talked to her sister for 65 minutes, determine how many minutes she has left on her card.
Answer:
1) 600-t
2) 600-t=65
=>t=535
Factor the expression completely.
8x2 - 18
Answer:
2 ( 2x-3) (2x+3)
Step-by-step explanation:
8x^2 - 18
Factor out a 2
2(4x^2 -9)
Inside the parentheses is the difference of squares
2 ((2x)^2 - 3^2)
We know the difference of squares is (a^2 -b^2) = (a-b)(a+b)
2 ( 2x-3) (2x+3)
If p(x) = x2 - 1 and 4(x) = 5(x-1), which expression is equivalent to (p - 9)(x)?
5(x - 1) - x2-1
(5x-1) -(x2-1)
(x2 - 1) - 5(x - 1)
(x2-1) - 5x-1
Answer:
x^2 - 10 = (p - 9)(x)
Step-by-step explanation:
Please indicate exponentiation with the symbol " ^ ": p(x) = x^2 - 1.
To obtain (p - 9), start with p(x) = x^2 - 1 and subtract 9:
(p - 9)(x) = x^2 - 1 - 9 = x^2 - 10 = (p - 9)(x)
A-29
B-81
C-87
D-93
Please someone help I don’t get this
Answer:
B-29...b-29...b-29...B-29... B-29
Please help me with this question
Answer:
E.
Step-by-step explanation:
so first you would add 8 to both sides to get
3w = t + 8
then divide both sides by 3
w = (t + 8) / 3
So the answer is E.
Answer: E) w = (t+8)/3
Step-by-step explanation:
Solve for w in terms of t means you have to isolate w. Thus, simply do the following:
[tex]3w-8=t\\3w=t+8\\w=\frac{t+8}{3}[/tex]
Hope it helps <3
Jana has £1500 in her bank account.
She has 270 euros of money left from her last holiday and
she wants to put this into her bank account.
The bank will convert the euros into pounds using £1 =
1.1452 euros.
The bank deducts a fee of £0.89 from her savings account
for this conversion.
How much money does Jana now have in her bank
account?
£99. semoga membantu maksih
Answer:
The answer is 99 dollars
Step-by-step explanation:
Not showing workout...
Just showing how
1) Multiply 1.1452 * 270
2) Multiply 0.89 * 270
3) Subtract the second step from the first step
Hope this helps....
Pls mark my ans as brainliest :)PLZ HELP!! HURRY!!!30POINTS!!
Answer:
c. We use tan∅ to solve
d. x ≈ 45.64 ft
Step-by-step explanation:
Step 1: Draw out the picture
When we do so, we should be able to see that we are solving for the horizontal leg.
Step 2: Find the trig
tan78° = 214.7/x
xtan78° = 214.7
x = 214.7/tan78°
x = 45.6359
helpppppppppp plsssssss
Hey there! :)
Answer:
a) Blue.
b) 1/2.
Step-by-step explanation:
Find the probabilities for each color:
Blue: 1/8
Yellow: 3/8
Green: 4/8 or 1/2
a) The color that the spinner is the least likely to land on has the smallest probability, which in this instance, is blue.
b) The probability of the spinner landing on green can be determined by:
# of green sections /total
Therefore:
4 / 8
Simplify the fraction:
4 / 8 = 1 / 2.
Answer:
a) Blue
b) 1/2
Step-by-step explanation:
a) The colors on the spinner are blue (B), green (G), and yellow (Y).
(B) = 1/8
(G) = 4/8
(Y) = 3/8
The spinner is least likely to land on the color blue.
b) The probability that the spinner lands on the color green is 4/8. The spinner has 8 equal sections, 4 of the sections are green.
4/8 can be simplified to 1/2.
One-quarter of the Math Olympiad participants are two-thirds of the Genius Circle students. Eight Genius Circle students did not participate in the Olympiad. What is the total number of students who participated in the Math Olympiad?'
Answer:
64
Step-by-step explanation:
This question is actually not hard just requires careful calculations.
So we know that 1/4 of MO (Math Olympiad) = 2/3 of GC (Genius Circle)
It also gives that 8 GC Members did not go to MO
So using these statements, we can find that
a. 1/3 of GC = 8 members --> and
b. 2/3 of GC = 16 which makes -->
c. 1/4 of MO = 16
Using these statements we can simply calculate 16 x 4 = 4/4 = 1
1 = Total amt. of participants in the MO => 16(4)
64
Hope this helps!
What is the length of segment AD.
Answer:
AD= 5.82 units (3 s.f.)
Step-by-step explanation:
Please see attached picture for full solution.
*skipped these steps in the beginning:
∠ABC +∠ABD= 180° (adj. ∠s on a str. line)
90° +∠ABD= 180°
Help ASAP! Will name brainliest! Questions: Maximize the objective function P = 5x + 7y for the given constraints. x ≥ 0 y ≥ 0 2x + 3y ≤ 18 5x + 2y ≤ 23 Answers: 52, 43, 23, 30
Answer:
43
Step-by-step explanation:
Using the completing-the-square method, rewrite f(x) = x2 + 10x + 7 in vertex form
Answer:
f(x) = (x - (-5))^2 + (-18)
Step-by-step explanation:
Given:
f(x) = x^2 + 10x + 7
Rewrite f(x) in vertex form
Solution:
f(x) = ax^2 + bx + c is a quadratic function.
The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.
=> f(x) = x^2 + 10x + 7
= x^2 + 10x + 25 - 18
= (x + 5)^ - 18
= (x - (-5))^2 + (-18)
=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18
to make it easier to explain you can say. Number 1 box is 57 number 2 box is77 something like that
Answer:
Box 1=5 Box2=6 Box3=8 Box4=200
Step-by-step explanation:
Answer:
Step-by-step explanation:
No.of balloons each will get = 5
no.of greeting cards = 6
no.of apples in each basket = 8
no. of words = 200words
hope it helps
Solve -8x+4 ≤ 36
A. x ≥ -4
B. x ≤ 4
C. x ≥ 4
D. x ≤ -4
Answer:
x≥-4
Step-by-step explanation:
-8x≤36-4
-8x≤32
x≥32/-8 when divide by minus you flip from≤ to ≥
x≥-4
Answer:
x ≥-4
Step-by-step explanation:
-8x+4 ≤ 36
Subtract 4 from each side
-8x+4-4 ≤ 36-4
-8x ≤ 32
Divide by -8 remembering to flip the inequality
-8x/-8 ≥ 32/-8
x ≥-4
use the elimination method to solve the system of equations. Choose the correct ordered pair. 5x-y=27 and 5x+4y=42
Answer:
(6,3)
Option B is the right option.
please see the attached picture for full solution...
Hope it helps....
Good luck on your assignment...
In a class full of men and women, [tex]\frac{2}{9}[/tex] of the class are women. What is the ratio of men to women in its simplest form?
Answer:
Hey there!
Let's pretend that there are only 9 people in that class. Thus, if 2/9 were women, then 2 people would be women.
Thus, 7 people would be men.
The ratio of men to women would be 7:2.
Hope this helps :)
13/4-1=
2 1/4
1 1/2
2 1/2
1 1/4
Answer:
2 1/4
Step-by-step explanation:
13/4 is 3 1/4 because 13 divided by 4 is 3 with a remainder of 1. So from there you subtract 1 from the whole number 3 and are left with 2 1/4. I hope that makes sense! :)
Answer:
2 1/4
Step-by-step explanation:
13/4 = 3 1/4
1 = 1
3 - 1 = 2 1/4
Find the volume of a pyramid with a square base, where the area of the base is
5.5 cm² and the height of the pyramid is 6.4 cm. Round your answer to the nearest
tenth of a cubic centimeter.
Rounded it is 11.7 cubic cm.
Help help please....Thanks
Answer:
Turkey - No
Brazillian - 8160 g and Kenyan - 2040
Step-by-step explanation:
45 Min x 4.4 kg = 198 Minutes
198 Min + 65 Min = 263 Min or 4.38 Hours
------------------------------------
120 cups x Total Grams needed ( 85 g ) = 10200
10200 / 5 as this is a 4 : 1 ratio = 2040
2040 x 4 = 8160
2040 x 1 = 2040
Evaluate the following expression when x = 6 and y = 2: Fraction with x squared plus y cubed in the numerator and 2 plus x in the denominator. 2.25 5.5 17.25 27.5
Answer:
Option B.
Step-by-step explanation:
The given expression is
[tex]\dfrac{x^2+y^3}{2+x}[/tex]
We need to find the value of given expression when x=6 and y=2.
Substitute x=6 and y=2 in the given expression.
[tex]\dfrac{x^2+y^3}{2+x}=\dfrac{(6)^2+(2)^3}{2+(6)}[/tex]
[tex]=\dfrac{36+8}{8}[/tex]
[tex]=\dfrac{44}{8}[/tex]
[tex]=5.5[/tex]
The value of given expression is 5.5 when x=6 and y=2.
Therefore, the correct option is B.
Answer:
he given expression is
We need to find the value of given expression when x=6 and y=2.
Substitute x=6 and y=2 in the given expression.
The value of given expression is 5.5 when x=6 and y=2.
Therefore, the correct option is B.
Step-by-step explanation:
NY Newsstand has an annual payroll of $288,000. What is the FICA for NY
Newsstand?
A. $22,032
B. $76,500
C. $25,684
O D. $28,800
Answer:
It is A $288,000
Step-by-step explanation:
Answer:
A. $22,032
Step-by-step explanation:
FICA includes both social security tax (6.2%) and Medicare tax (1.45%), for a total tax rate of 7.65%.
0.0765 × $288,000 = $22,032 . . . FICA tax