Answers
9514 1404 393
Answer:
[tex]\dfrac{\sqrt[4]{3x^2}}{2y}[/tex]
Step-by-step explanation:
Fourth powers (and multiples of 4th powers) can be factored out from under the radical. Everything else remains under the radical.
[tex]\sqrt[4]{\dfrac{24x^6y}{128x^4y^5}}=\left(\dfrac{3\cdot8}{16\cdot8}x^{6-4}y^{1-5}\right)^{1/4}=(3\cdot2^{-4}x^{2}y^{-4})^{1/4}\\\\=\boxed{\dfrac{\sqrt[4]{3x^2}}{2y}}[/tex]
_____
The applicable rules of exponents are ...
a^(b/c) = c-th root of (a^b)
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
a^-b = 1/a^b
Answer:
Step-by-step explanation:
the answer is (D) [tex]\sqrt[4]{3x^2}[/tex] / 2y
Related Questions
Which of the following numbers is irrational?
Select all that apply.
36
25
149
15
13
Answers
Answer:
The answers are 149,15,and 13.
Step-by-step explanation:
Here's why.....The square root of 149 continues after the decimal and so does 15 and 13.
this figure shows a right prism with a trapezoidal base, what is the sum of the areas of the four lateral (rectangular) faces of the prism in cubic centimeters unit?
Answers
Step-by-step explanation:
the answer is 54 cm
plzzzz mark me brainliest
Kyra went to the grocery store on Monday and bought 5 apples and 2 oranges for a total of $3.45. On Thursday she bought 7 apples and 3 oranges for a total of $4.90.
Write a system of equations that represents this situation.
Answers
Answer:
5(x)+2(y)=3.45
7(x)+3(y)=4.90
The system of equation are
5x+ 2y = 3.457x+ 3y= 4.90what is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
On Monday 5 apples and 2 oranges for a total of $3.45.
On Thursday she bought 7 apples and 3 oranges for a total of $4.90.
let the number of apples sold be x
and, let the oranges sold be y
So, the equation can be
5x+ 2y = 3.45
7x+ 3y= 4.90
Learn more about algebra here:
https://brainly.com/question/24875240
#SPJ2
) 10 counters in a bag. 4 red, 3 green, 2 pink and 1 blue. Ella picks a counter at random from the bag, notes the colour and then puts it back in the bag. a) Ella uses this method to work out the probability of selecting 2 greens in a row. She writes: "There are four colours, so the probability of selecting a green is 1 4 + 1 4 = 2 4 , so the probability is 1 2 ." a) Make two criticisms of Ella's method. b) Calculate the probability of selecting two counters of the same colour. (
Answers
Answer:
a) i) The probability depends on the total number of counters not on the number of colors.
ii) There are 10 number of counters not 4
b) [tex]\dfrac{3}{10}[/tex]
Step-by-step explanation:
Given that:
Total number of counters in a bag = 10
Number of red counters = 4
Number of green counters = 3
Number of pink counters = 2
Number of blue counters = 1
a) Ella writes: "There are four colors, so the probability of selecting a green is [tex]\frac{1}4 + \frac{1}4 = \frac{2}4[/tex] , so the probability is [tex]\frac{1}2[/tex]"
Ella has considered the total type of counters here, which is 4.
But Ella must have considered total number of counters which is 10.
i) The probability depends on the total number of counters not on the number of colors.
ii) There are 10 number of counters not 4
b) There are 4 colors in the bag.
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
To select 2 counters of the same color:
[tex]P(2\ red) = \dfrac{4}{10}\times \dfrac{4}{10} = \dfrac{16}{100}[/tex]
[tex]P(2\ green) = \dfrac{3}{10}\times \dfrac{3}{10} = \dfrac{9}{100}[/tex]
[tex]P(2\ pink) = \dfrac{2}{10}\times \dfrac{2}{10} = \dfrac{4}{100}[/tex]
[tex]P(2\ blue) = \dfrac{1}{10}\times \dfrac{1}{10} = \dfrac{1}{100}[/tex]
The required probability will be the sum of all 4 above probabilities:
[tex]P(2\ of\ same\ color) = \dfrac{30}{100} = \bold{\dfrac{3}{10} }[/tex]
At a football stadium, 5% of the fans in attendance were teenagers. If there were 10 teenagers at the football stadium, what was the total number of people at the stadium?
Answers
Answer:
200 people were at the stadium
Step-by-step explanation:
Let us represent the total number of people at the stadium = x
At a football stadium, 5% of the fans in attendance were teenagers. If there were 10 teenagers at the football stadium
Hence:
5% of total number of people = 10 teenagers
5/100 × x = 10
5x/100 = 10
Cross Multiply
5x = 100 × 10
5x = 1000
Divide both sides by 5
5x/5 = 1000/5
x = 200
The total number of people in the stadium is 200
What is the area of the trapezoid 6 feet 8 feet 10
Answers
Answer:
the area of the trapezoid is 70 feet
Step-by-step explanation:
May I have brainliest please? :)
slope word propblem for slope
Answers
Answer:
the answer is d(the last one
Step-by-step explanation:
160+25m=40+65m
the sign up fee plus how much each month
En una escuela se recibieron plumas de diferentes patrocinadores. Por parte de la sociedad de padres compraron 4 1⁄4 cajas. La Sociedad de Alumnos aporto 2 5/6 cajas. Y 3 3⁄4 cajas regalo Un Programa de Educación ¿Cuántas cajas de plumas son en total?
Answers
Answer:
[tex]10\frac {5}{6}[/tex] boxes
Step-by-step explanation:
Given that pens received from the parents' society [tex]= 4 \frac 1 4[/tex] boxes.
Pens received from the Student Society [tex]= 2 \frac 56[/tex] boxes.
Pens received as gift boxes [tex]= 3 \frac 3 4[/tex] boxes.
So, the total number of boxes of pens received [tex]= 4 \frac 1 4 + 2 \frac 56 + 3 \frac 3 4[/tex] boxes
[tex]=\frac {17}{4} + \frac {17}{6} +\frac{15}{4}\\\\=\frac {65}{6}\\\\=10\frac {5}{6}.[/tex]
Hence, the total number of boxes of pens received [tex]= 10\frac {5}{6}[/tex] boxes.
Plzzzzzzzz helpe out
Answers
Answer:
[tex]\frac{cos-sin^{2}+1 }{sin(1+cos)}\\\\=\frac{cos - sin^{2}+sin^{2}+cos^{2} }{sin(1+cos)}\\\\=\frac{cos+cos^{2} }{sin(1+cos)}\\\\=\frac{cos(1+cos)}{sin(1+cos)}\\\\=\frac{cos}{sin}\\\\=cot[/tex]
( 1 = sin² + cos²)
Step-by-step explanation:
Answer:
Sorry i don't understand
HELP ASAP ILL GIVE BRAINLIEST!!!
Answers
Answer:
4*sqrt 10
Step-by-step explanation:
5-1=4
6--6=12
12^2 + 4^2 = 160
sqrt 160 = 4*sqrt 10
4*sqrt10
need an answer asap please
Answers
Answer:
Step-by-step explanation:
12.
(A). AB = √34 units
(B). Area of triangle is 7.5 units²
Perimeter of triangle is (√34 + 8) units
(C). ΔA'BC is reflection of ΔABC over y = 2
(D). ΔA'BC is right angled. ΔABA' is isosceles.
Stephanie grew a total of 70 pounds of tomatoes to sell. She plans to sell the tomatoes for $3.50 per pound. The equation below represents the profit in dollars, f(x), she will earn by selling x pounds of the tomatoes.
f(x) = 3.50x - 110
If Stephanie sold all 70 pounds of tomatoes, what would her profit be?
Answers
Answer:
If Stephanie sold the 70 pounds of tomatoes, her profit would be 135 dollars.
Step-by-step explanation:
You know that the equation f(x) = 3.50*x - 110 represents the profit in dollars Stephanie will earn by selling x pounds of the tomatoes.
If Stephanie sold the 70 pounds of tomatoes, you want to know what the profit would be. So to calculate the profit you simply replace in f (x), the x pounds of tomatoes by 70.
f(70)=3.50*70 - 110
Solving:
f(70)= 245 - 110
f(70)= 135
If Stephanie sold the 70 pounds of tomatoes, her profit would be 135 dollars.
what is the slope-intercept form of (-1, 3) and (-2, 3)
Answers
Answer: The answer is y=3.
Step-by-step explanation: Write in slope-intercept form, y=mx+b. Please mark me as brainliest.
Question 6 of 10
What is the value of x?
1059
a
A. 2009
B. 50°
ОО
C. 55°
D. 160°
Answers
Answer:
The answer is B. 50
Step-by-step explanation:
180-105=75
75+55=130
180-130=50
Find the measure of the interior angles
73⁰ + x⁰ + (x-11)⁰
Answers
Answer:
3
Step-by-step explanation:
On Thursday the basketball coach ordered 12 pizzas for 36 players who came in for practice. How many pizzas does the coach need to order if 12 players turned up for practice the next day
Answers
Answer:16
Step-by-step explanation:Next day there will be (36+12) or 48 players.
For 36 players 12 pizzas are needed
For 1 player 12/36 pizzas are needed
For 48 players 12/36*48 or 16 pizzas are needed
The number of pizzas that 12 players will need is 4 based on the given ratio.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
The ratio of pizza to players = 36/12
With the same ratio,
The number of pizzas required for x number of 12 players,
12/x = 36/12
x = 144/36 = 4
Hence "Based on the above ratio, 12 players will require 4 pizzas.".
For more information about ratios and proportions,
brainly.com/question/26974513
#SPJ2
3 is 5% of what number?
Answers
Answer:
60
Step-by-step explanation:
if 3 represents 5% and we know 5%*20 =100% then
3*20=60 represents 100%
A train travels 120 km in 2 hours. What is its average speed?
Answers
Answer:
It's speed is 48 km/hr.
Note: The term "average speed" is only used when there are 2 or more given speeds.
Step-by-step explanation:
Convert 2y-13=4x to slope intercept form
Answers
Y=2x +6.5
Answer y=2x + 6.5
Which function is equivalent to 3x^2+x-10
A. f(x)=(3x+5)(x-2)
B. f(x)=(3x+5)(x+2)
C. f(x)=(3x-5)(x-2)
D. f(x)=(3x-5)(x+2)
Answers
Answer:
d
Step-by-step explanation:
Wich inequality is true 1/2<1/3
Answers
Answer:
I really dont know what ur asking but 1/2 is bigger then 1/3
Step-by-step explanation:
.
Given the exponential function f(x) = 16(0.75)x, classify the function as exponential growth or decay and determine the percent rate of growth or decay.
Exponential growth, 75% increase
Exponential decay, 75% decrease
Exponential growth, 25% increase
Exponential decay, 25% decrease
Answers
Answer:
So the rate of decay is 0.25, or 25%.
Step-by-step explanation:
The variable r gives the rate of decay in the formula f(x) = P(1 − r)x = 16(1 − 0.25)x.
Answer:
Exponential decay, 75% decrease
Step-by-step explanation:
took the test
Which inequality is graphed on the coordinate plane?
Answers
Answer:
E is the answer
Step-by-step explanation:
Rachel earned $34 in 4 hours at her job today. She wants to know how much she could earn (e) tomorrow if she works 10 hours at the same hourly rate.
How much will Rachel earn in 10 hours?
Answers
Explanation
34/4 = 8.5
8.5 is her hourly rate
8.5*10=85
Therefore she would make 85 dollars.
Hope this helps!!
Answer:
see below
Step-by-step explanation:
she earns 8.5 per hour.
8.5x10=85.00
85 dollars total
Please mark brainliest!! have a good day and stay safe!
For the complex number z = StartFraction 5 StartRoot 3 EndRoot Over 4 EndFraction minus StartFraction 5 Over 4 EndFraction i ,what is the polar form?
correct one - A.) z = five-halves (cosine (StartFraction pi Over 6 EndFraction) + I sine (StartFraction pi Over 6 EndFraction)
B.) z = five-fourths (cosine (StartFraction pi Over 6 EndFraction) + I sine (StartFraction pi Over 6 EndFraction)
- C.) z = five-halves (cosine (StartFraction 11 pi Over 6 EndFraction) + I sine (StartFraction 11 pi Over 6 EndFraction)
D.) z = five-fourths (cosine (StartFraction 11 pi Over 6 EndFraction) + I sine (StartFraction 11 pi Over 6 EndFraction)
Answers
Answer:
its D
Step-by-step explanation:
Answer: Its C, z = 5/2 (cosine( 11pi/ 6) + i sine (11pi/6)
Step-by-step explanation: Got it right on edge
There must be more than 4 campers in a group during free play and the difference between the number of boys, x, and the number of girls, y, can be no more than 5. Which graph represents the system of inequalities for this scenario? On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 5) and (2, negative 3). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 4) and (2, 2). Everything to the left of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 5) and (2, negative 3). Everything to the right of the line is shaded. The second dashed line has a negative slope and goes through (0, 4) and (2, 2). Everything to the right of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 4) and (4, 0). Everything to the left of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (5, 0). Everything to the left of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 4) and (4, 0). Everything to the right of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (5, 0). Everything to the right of the line is shaded.
Answers
The graph in the attached figure
Step-by-step explanation:
Let
x -----> the number of boys
y -----> the number of girls
----->inequality A
The solution of the inequality A is the shaded area above the solid line
The slope of the solid line is positive
The y-intercept of the solid line is (0,-5)
The x-intercept of the solid line is (5,0)
-----> equation B
The solution of the inequality B is the shaded area above the dashed line
The slope of the dashed line is negative
The y-intercept of the solid line is (0,4)
The x-intercept of the solid line is (4,0)
using a graphing tool
the solution of the system of inequalities is the shaded area between the solid line and the dashed line
see the attached figure
Answer:
It's the second graph.
Step-by-step explanation:
The ratio of apples to oranges is 4:3. If there are 16 apples, how many total fruits were there?
Answers
Answer:
There are a total of 28 fruits.
Step-by-step explanation:
4 in the ratio is 16. And the unit rate of it is 4. You multiply 3 by 4 which equals 12. 16+12=28.
3/4 divided by 1/3 write answer in simplest form
Answers
Answer:
9/4
Step-by-step explanation:
Isadora rents an apartment for $1,000 a month and has a year's lease.
She owns a car that is worth $14,700. She has a savings account of $4,750 and a
credit card balance of $825. What is her net worth?
Answers
Step-by-step explanation:
So let's say this is for the year and were working out the amount she spent.
She starts off with paying $1,000 for rent.
Then she owns a car that is $14,700.
Her savings account is 4,750 and Credit card balance is 825{not sure if that's what she is has to spend or if its tax so I'll do two ways}.
1,000
4,750
825
+14,700
21325
Her total would be $21,325 taking it that 875 was a tax.
if not the answer would be $20,450.
if the car does not have a tax just minus the 14,700 from either of them two numbers.
Amount of Isadora's net worth is $6,625.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To find Isadora's net worth, we need to subtract her total debts from her total assets.
So,
Her total assets.
Car worth = $14,700
Savings account balance = $4,750
So, her total assets.
= $14,700 + $4,750
= $19,450
Her total debts.
Credit card balance = $825
Monthly rent for 1-year lease = $1,000 x 12 = $12,000
So, her total debts.
= $825 + $12,000
= $12,825
To find her net worth, we subtract her total debts from her total assets.
So,
Net worth = Total assets - Total debts
Net worth = $19,450 - $12,825
Net worth = $6,625
Therefore,
Isadora's net worth is $6,625.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
According the graph what is f(1)