The simplified form after simplification is B) \(\sqrt[4]{w}\)
What is Simplification?
Another word for "solving a math difficulty" is "simplifying an expression." When you simplify an expression, your goal is essentially to make it as simple as you can. There shouldn't be any additional multiplication, dividing, adding, or removing to be done at the conclusion. Take the formula 4 + 6 + 5 as an illustration.
Here the given expression is
=> \(w^{\frac{1}{2} }\) ÷ \(w^{\frac{1}{4} }\)
We know that \(\frac{a^x}{a^y}\)= \(a^{x-y}\)
=> \(w^{\frac{1}{2}-\frac{1}{4} }\)
=> \(w^{\frac{2-1}{4} }\)
=> \(w^{\frac{1}{4} }\)
We know that \(x^{\frac{1}{y} }\)=\(\sqrt[y]{x}\) then,
=> \(\sqrt[4]{w}\)
Therefore the correct option is B)\(\sqrt[4]{w}\) .
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The ratio of 36 apples to 18 children
It could be 1:1 or 2:1 if you dont give them more than 1 apple and save some
Step-by-step explanation:
pls help me with math i’ll give you brainlist :)))
The required number of candles Marcella has in the starting is 56.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
As mentioned in the question,
She has some candles in the starting before she starts collecting the candles, let x be the candle she had in the starting,
Now,
According to the question she is buying 13 candles every week, at the end of 8 weeks she has 160 candles,
So.
x + 13(8) = 160
x + 104 = 160
x = 160 - 104
x = 56
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Can someone help me with this problem: Solve m/5 =4. m =
Answer:
m is equal to 20.
Step-by-step explanation:
20/5=4
Suppose f ( x ) = 7 ( 2.5 ) x and g ( x ) = 52 ( 1.5 ) x . Solve f ( x ) = g ( x ) for x .
The value of x in when we equate the functions f(x) = g(x) is 0
FunctionsA function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
A function in mathematics is a special relationship among the inputs (i.e. the domain) and their outputs (known as the codomain) where each input has exactly one output, and the output can be traced back to its input. A function is an equation for which any x that can be put into the equation will produce exactly one output such as y out of the equation. It is represented as; y = f(x)
Where x is an independent variable and y is a dependent variable.
In the question given;
f(x) = 7(2.5)xg(x) = 52(1.5)xf(x) = g(x)
7(2.5)x = 52(1.5)x
Solving for x
x = 0; This is because they both cancel each other out.
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translate the figure 3 units right and 7 unit down.Record the coordinates of the image.
Answer: A prime is (-4,-5). B prime is (0,-1). C prime is (1,-5)
Step-by-step explanation:
You can either count three units to the right and from there 7 units down from each point to find its prime, or alternatively from each original x,y value of each point you can add 3 to the x value (because it wants you to move 3 units to the right and subtract 7 from the y value (because it wants you to move down 7 units).
What is the height and perimeter of the right triangle round to the nearest tenth.
The perimeter of the triangle is 40.42 cm
The height of the triangle is 14 cm
What is Pythagoras theorem ?A right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
The length of the base is 9.5 cm
The total area of the triangle is 66.5 cm²
We know,
Area = (1/2)*base * height
⇒ 66.5 = (1/2)*9.5* h
⇒h = 14 cm
The height is 14 cm
By using Pythagoras theorem
hypotenuse = √{(base)² + (height)²} = √{(9.5)² + (14)²} = 16.92 cm
The hypotenuse is 16.92 cm
The perimeter of the triangle is height + base + hypotenuse = 14 + 9.5 + 16.92 = 40.42 cm
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The fastest helicopter in the world is the CH-47F Chinook, with a maximum speed of 315 km/h. What distance can it fly in 12 minutes?
Answer:
63 km
Step-by-step explanation:
Given :
Speed = 315 km/hTime = 12 minutesSolving :
Convert minutes into hours so that the units are equal, otherwise your answer will not be correct.
There are 60 minutes in an hourTherefore, 12 minutes is equal to :12/60 hours1/5 hours0.2 hoursCalculating distance
Distance = Speed x TimeDistance = 315 km/h x 0.2 hDistance = 63 kmAnswer:
frist convert 315k/h into m/s
then convert 12min into sce
=12*60
=720
distance = v*t
=315*720
=226800m
The lengths of the three sides of a triangle are x + 15 , 2x + 15 and x + 12 (where x cannot equal zero). What is the perimeter of the triangle?.
The perimeter of the triangle is 3x + 42.This can bean represented mathematically as (xd + 15) + (2x + 15) + (x + 12) = 3x + 42.
The perimeter of a triangle is the sum of the lengths of its three sides. In this problem, the lengths of the three sides of the triangle are given as x + 15, 2x + 15, and x + 12, where x cannot equal zero. To calculate the perimeter of the triangle, we need to add these three lengths together. This can bean represented mathematically as (xd + 15) + (2x + 15) + (x + 12) = 3x + 42. Therefore, the perimeter of the triangle is 3x + 42.
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PLSS HELP
GIVING 36 POINTS
Answer:
a
Step-by-step explanation:
the data is represented in the dot plot
Answer:
answer is 77.67
Step-by-step explanation:
explain by the x axis is 68 to y axis is 84 so the median is 77.67
Sorry I keep asking questions I'm just need to finish this assignment HELP ASAP
Answer:
2,100x3/7 = 2,100x3/7=6,300/7= 900
Step-by-step explanation:
multiply 2,100 x 3 = 6,300 divide by 7 = 900
Answer:
1st box=2100
2nd box=6300
3rd box=900
Step-by-step explanation:
Calculate: x/y = z/100
y= 137
x = 86.33
What is z?
The value of z is 8633/137 or 63.01, approximately.
Step-by-step explanation:1. Write the expression.\(\frac{x}{y} =\frac{z}{100}\)
2. Multiply both sides of the equaton by "100".\(\frac{x}{y}*100 =\frac{z}{100}*100\\ \\100\frac{x}{y} =z\\ \\z=100\frac{x}{y}\)
3. Substitute "x" and "y" by the given values and calculate "z".\(z=100\frac{(86.33)}{(137)}\\ \\z=\frac{8633}{137}=63.01\)
4. Verify using the exact value of "z".If the calculated value of "z" is correct, then the original equation should return the same value on both sides of the equal symbol (=) when substiting all the variables by their respective value.
\(\frac{86.33}{137} =\frac{\frac{8633}{137}}{100}\\ \\0.63=0.63\)
That's correct!
Hence, the value of z is 8633/137 or 63.01.
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Circle Project 1. Draw a point at (1, -2) 2. Draw an 8-unit long radius 3. Using a compass, Draw a circle with your point from step one as your center and the point from step two as the side. 4. Using a protractor, draw a 70 degree arc 5. Draw a central angle which intercepts your arc 6. Draw an inscribed angle which intercepts a 40 degree arc 7. Draw a tangent line 8. Draw a secant line 9. Write the equation of your circle.
Answer:
I can explain how to complete each of the steps you have provided.
1. Draw a point at (1, -2)
This is a simple step. Just mark a dot on your paper at the coordinates (1, -2).
2.
Draw an 8-unit long radius
Using your compass, set the radius to 8 units. Place the compass on the point you drew in step 1 and draw a circle around it, making sure that the radius is 8 units long.
3. Using a compass
Draw a circle with your point from step one as your center and the point from step two as the side: This step is already completed in step 2.
4. Using a protractor draw a 70 degree arc
Place your protractor on the center of the circle (the point you drew in step 1) and draw a 70 degree arc on the circle.
5. Draw a central angle which intercepts your arc
Use a straight edge to draw a line from the center of the circle to each endpoint of the arc you drew in step 4. This creates a central angle, which is an angle whose vertex is at the center of the circle and whose sides intercept the circle.
6. Draw an inscribed angle which intercepts a 40 degree arc
Use a straight edge to draw a line from one endpoint of the 70 degree arc to the other endpoint. Then, draw a perpendicular bisector of this line, which intersects the center of the circle. This creates a 40 degree arc on the circle. Draw a line from the center of the circle to one endpoint of the 40 degree arc, and draw a line from that endpoint to the other endpoint of the 40 degree arc. This creates an inscribed angle, which is an angle whose vertex is on the circle and whose sides intercept the circle.
7. Draw a tangent line
Choose a point on the circle that is not on the 70 degree arc. Draw a line from that point tangent to the circle.
8. Draw a secant line
Choose two points on the circle that are not on the 70 degree arc. Draw a line through those points, which intersects the circle at two points.
9. Equation of your circle
The equation of a circle with center (a,b) and radius r is (x-a)^2 + (y-b)^2 = r^2. Using the coordinates of the center from step 1 and the radius from step 2, the equation of the circle is (x-1)^2 + (y+2)^2 = 64.
What is 1.07 x 10^5 in standard notation?
Answer: 107,000
Step-by-step explanation:
the exponent is a positive 5, so move the decimal point 5 places right.
if exponent is negative, go the other direction
5 Signs for science project displays are cut of poster board that measure 1 yard on each side. Each sign is-yard long and-yard wide. How ma signs can be cut from 1 piece of poster board? Wh the area of each sign? Show your work.
Answer:
\(\text{27}\)
Step-by-step explanation:
Given that :
\(\text{Dimension of poster board} = 1 \ \text{yd} \ \text{by} \ 1 \ \text{yd}\)
\(\text{Dimension of each poster board} = \dfrac{1}{3} \ \text{yd} \ \text{by} \ \dfrac{1}{9} \ \text{yd}\)
Number of poster signs that can be cut :
\(\text{Area of poster sign} = \dfrac{1}{3} \times \dfrac{1}{9} = \dfrac{1}{27} \ \text{yard}^2\)
\(\text{Area of poster board} = 1 \ \text{yard}^2\)
Number of poster signs that can be cut :
\(\dfrac{\text{Area of poster board}}{\text{Area of poster sign}}\)
\(1 \ \text{yard}^2\div (\dfrac{1}{27} ) \ \text{yard}^2\)
\(1 \div \dfrac{1}{27}\)
\(1 \times \dfrac{27}{1}\)
\(\bold{= 27 \ poster \ signs}\)
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Find the area of the combined rectangles.
9 ml
1 2 3 4
The area is
11 ml
19 ml
square miles.
2 ml
8 ml
5
7 ml
To find the area of the combined rectangles, we need the dimensions (length and width) of each rectangle. However, the provided text and numbers do not seem to correspond to a clear description of the rectangles or their dimensions. Could you please provide more specific information or clarify the question?
Please help me in confused
Answer:
20\(c^{6}\)
Step-by-step explanation:
using the rule of exponents
\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)
given
(- 4c³)(- 5c³) ← remove parenthesis
= - 4 × c³ × - 5 × c³
= - 4 × - 5 × c³ × c³
= 20 × \(c^{(3+3)}\)
= 20\(c^{6}\)
A sample of 311 people is selected. The people are classified according to place of residence ("urban", "suburban", or "rural"). They are also classified according to highest educational degree earned ("no college degree", "two-year degree", "four-year degree", or "advanced degree"). The results are given in the contingency table below. Urban Suburban Rural No college degree Two-year degree Four-year degree 34 42 22 35 21 22 16 34 16 Advanced degree 23 23 23 What is the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a two-year degree? Round your answer to two decimal places.
Answer: 0.07
Step-by-step explanation:
To find the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a two-year degree, we need to calculate the ratio of the number of people with those characteristics to the total sample size.
Looking at the contingency table, we can see that the number of people in the suburban category with a two-year degree is 21.
The total sample size is given as 311.
Therefore, the relative frequency can be calculated as:
Relative frequency = (Number of people in suburban category with two-year degree) / (Total sample size)
= 21 / 311
≈ 0.0676
Rounded to two decimal places, the relative frequency is approximately 0.07.
C and D are sets of real numbers defined as follows. Write using interval notation.
The given sets written in interval notation are
C = (4, ∞), and = (-∞, 9]
Writing sets in interval notationFrom the question, we are to write the given sets using the interval notation
The given sets are
C = {v | v > 4}
D = {v | v ≤ 9}
For set C,
C = {v | v > 4}
The elements of the sets are 5, 6, 7, 8, 9, ...
This can be written in interval notation as (4, ∞)
For set D,
D = {v | v ≤ 9}
The elements of the sets are 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, ...
This can be written in interval notation as (-∞, 9]
Hence, the interval notation form of the sets are
C = (4, ∞)
and
D = (-∞, 9]
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PLEASE HELPPPPPPPPPPPP
Answer:
70 degrees angle
Step-by-step explanation:
please give me a brainliest!!<3
Answer:
D. A 70° angle
Step-by-step explanation:
Since this is a protractor, this will not be measuring side lengths, so A and C are out. Answer B is wrong as well since the angle shown is an acute angle meaning it is less than 90°. This leaves us with answer D.
Uma pizzaria oferece em seu cardápio 12 sabores de pizza. Se um cliente pretende pedir 3 pizzas, então o número de maneiras que ele pode realizar esse pedido é;
•364
•220
•440
•1320
Answer:
Step-by-step explanation:
Partindo do pressuposto de que você pode ter coberturas duplas e triplas do mesmo item, o cálculo é relativamente simples. Para calcular as combinações possíveis; deve-se multiplicar as coberturas disponíveis pelo número total de coberturas permitidas. Este cálculo é semelhante a como olhamos para diferentes sistemas de contagem de base. Normalmente contamos com decimais (base 10), portanto, o número de combinações, se usar 3 dígitos, seria calculado por 10 x 10 x 10.
10x10 = 100
100x10 = 1000 combinações (0 a 999)
Sua pergunta sobre coberturas de pizza é a mesma, mas assumindo um sistema de numeração de base 12, então 12x12x12 ou 12³
Portanto, 1.728 combinações incluindo 0 (sem coberturas?) E também incluindo 12 ocasiões em que todas as 3 coberturas seriam iguais. Se esses cenários de pessoas forem restritos de modo que você só possa ter coberturas duplas máximas, etc., então essas combinações devem ser removidas (subtraídas do total de combinações permitidas).
Espero ter ajudado você a entender os princípios, então você deve ser capaz de trabalhar a partir disso, de muitas outras soluções semelhantes
Select the correct answer.
It costs $480.00 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400.00.
What method below shows how you would calculate the % increase?
The method is: Find the increase and find the ratio of the increase and the old price.
The percentage increase is 20%
What method below shows how you would calculate the percentage increase?A percentage is defined as the ratio that can be expressed as a fraction of 100.
The method below shows how you would calculate the % increase.
First step: Find the increase:
increase = 480 - 400 = $80
Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:
80/400 * 100 = 20%
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can you help me please
Hence the correct option is to translate down 2 unit
Transformations can be non-rigid (when the preimage's size or shape is unaltered) or stiff (where the size is changed but the shape remains the same). These are the fundamental guidelines that this concept abides by. It is a straightforward approach to alter 2D forms.
Planar transformations and spaces can be distinguished from one another using the dimensions of the operand sets.
We have the parent function f(X)= x
and transformed function is g(x)= -3f(x+5)-2
the parent function f(x) is translated dawn 2 units and stretched by 5 .
Hence the correct option is to translate down 2 unit
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a new social media sit is increasing its user base by approximately 4% per month. If the site currently has 35.930 users, what will the approximate user base be 10 months from now?
Answer:
The approximate user base of the social media site 10 months from now would be approximately 52,374.
Step-by-step explanation:
To calculate the approximate user base of the social media site 10 months from now, considering a 4% increase per month, we can use the following steps:
1. Calculate the monthly growth factor: 1 + (4% / 100) = 1 + 0.04 = 1.04
2. Apply the growth factor to the current user base for each month:
Month 1: 35,930 * 1.04 = 37,387.2 (approx.)
Month 2: 37,387.2 * 1.04 = 38,868.49 (approx.)
...
Month 10: Previous Month * 1.04
By repeating this calculation for each month, we can determine the approximate user base 10 months from now.
Month 1: 37,387.2
Month 2: 38,868.49
Month 3: 40,391.33
Month 4: 41,957.61
Month 5: 43,569.34
Month 6: 45,228.24
Month 7: 46,936.32
Month 8: 48,695.44
Month 9: 50,507.45
Month 10: 52,374.40 (approx.)
Therefore, the approximate user base of the social media site 10 months from now would be approximately 52,374.
PLEASE HELP FAST !!!!!!!!
Identify the equation that represents a quadratic relationship
Answer:
Step-by-step explanation:
Quadratic means squared equation so
the first one is your answer.
y= 4x²
Divide. Express your answer in simplest form.
10 ÷ 3 5/9
Please help me, I will give brainliest, 20 points.
Answer:
2 13/16 or 2.8125
Step-by-step explanation:
What I did is 90/32 and then solved that.
Does the graph represent a function? Why or why not ?
Answer:
A.
Step-by-step explanation:
The vertical line test is a way of finding out if a relation is a function.
Graph the relation.
Then imagine a vertical line moving from left to right over the graph of the relation.
If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.
This function passes the vertical test since it never intersects more than one point on the vertical line at a time.
Answer: A.
2. In the diagram below, set I represents rational numbers, set II represents integers, and set III represents whole numbers. Shade the values that belong in set II. 05 -0.5 13.2 24 0 - 5 10 2 -9.0 35 ] 1 -4.91 I II III
The information about the rational numbers and integers shows that the correct option is C.
How to explain the information?It should be noted that rational numbers are numbers where we can write as a fraction of two integers. Any rational number is in the form a/b where a,b are integers and b is nonzero.
Terminating decimals can be written as a rational number. Something like 3.1 is equivalent to 31/10.
Of the four answer choices, only choice C is correct.
Choice A has the value '3' as a rational number, but it doesn't have it in the set of integers as well. So that's why choice A is incorrect.
Choice B has -3.4 in the set of integers, which is not correct. Integers do not have any decimal portion. The same applies to choice D also. We can rule choices B and D out.
Therefore, the correct option is C.
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In Minneapolis, the probability that it will be mostly cloudy is 75% andthe probability that it will rain is 71%.If the probability that it will rain and be mostly cloudy is 85%, thenwhat is the probability that it will be mostly cloudy or it will rain?85%61%81%53%3 of 4 QUESTIONS
Let:
Event A: Rain
Event B: mostly cloudly
Then, the probability (P) of the events occurring is:
P(A) = 0.71
P(B) = 0.75
P(A and B) = 0.85
Since the events are non-mutually exclusive, P(A or B) can be found using the formula below:
\(P(A\text{ }or\text{ }B)=P(A)+P(B)-P(A\text{ }and\text{ }B)\)The probability that it will be mostly cloudy or it will rain is P(A or B), substituting the values, we have:
\(\begin{gathered} P(A\text{ }or\text{ }B)=71+75-85 \\ P(A\text{ }or\text{ }B)=61percent \end{gathered}\)Answer: 61%.
What is the surface area of the cylinder shown below? Use 3.14 for π.
A. 502.4 cm2
B. 602.88 cm2
C. 785 cm2
D. 602.4 cm2
it is C
Step-by-step explanation:
i did the test
Answer:
The answer is actually B.
Step-by-step explanation:
I have an actual explanation to this! But I don't like dealing with pdfs, also typing it out will be a lot. Ik I am late, but to whomever else needs help that's the answer! Glad to help:)
which expressions are equivalent to 3^4/9/3^2/9? select all that apply
Answer:
first and third expressions
Step-by-step explanation:
using the rule of exponents
\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)
then
\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)
= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression
= \(3^{\frac{2}{9} }\) ← third expression