Answer:
The Index
Step-by-step explanation:
A radical expression is composed of three parts:
The Radicand - The number or term under the horizontal bar of the radical symbol.
Radical Symbol - The Radical Symbol √
Index - The number near the "check" part of the radical symbol.
In the given expression, 4 is the index. We are supposed to find the 4th root of x to the third power.
Hope this helps.
I’ll give the brainliest which equation represents a greater rate of change than the one shown in the graph below
Answer:
I think it’s B
Step-by-step explanation:
Melissa needs 3.87 feet of string to use as a border for her poster. Melissa finda a piece of string that is is 4.25 feet long. how much string will Melissa have left over
Answer:
You will have .38 feet left of string
Step-by-step explanation:
Just subtract the numbers
Have a good day!
Answer:
0.38
Step-by-step explanation:
4.25-3.87=0.38
24x-12 equivalent expressions
Answer:
24x-18+6
Step-by-step explanation:
24x-18+6, 6+-18=-12, 24x-12=24x-2
What is the value of x?
URGENT
Answer:
14
Step-by-step explanation:
angle 90° is opposite the side x. angle 45° is opposite side 7√2.
x/sin 90 = (7√2)/sin 45
multiply both sides by sin 90 (sin 90 is = 1).
x = (7√2)/sin 45
= 14
Johnny is buying watermelons. Safeway is running a sale where all watermelon
purchases are $15 off the final price and each watermelon costs $3.50. Write a linear
equation that models this scenario.
Answer:
3.50x-15= y
Reason:
In the equation y would be the total price and x would be the amount of watermelons. The slope is 3.5- and the y intercept is -15.
y = mx + b
m/slope = 3.50
b/y-intercept = -15
x = amount of watermelons
y = total cost
ASAP!!! Please help me solve
Answer: j(x) = (x-1)(x+2)
The x-1 part is because of the root x = 1
The root x = -2 leads to the factor x+2
can you guys answer this please
Answer: 60
Step-by-step explanation:
The plot below shows the amount of time Mira spent on
5
55 math problems.
All measurements are rounded to the nearest
1
4
4
1
start fraction, 1, divided by, 4, end fraction minute.
A line plot labeled Time per problem (minutes) shows, moving left to right, labeled tick marks at seven, seven and a half, eight, eight and a half, nine, nine and a half, and ten. An unlabeled tick mark appears between each labeled tick mark. Dots are plotted as follows: 2 dots above the unlabeled tick mark between eight and eight and a half and 3 dots above nine and a half.
A line plot labeled Time per problem (minutes) shows, moving left to right, labeled tick marks at seven, seven and a half, eight, eight and a half, nine, nine and a half, and ten.
If Mira had spent the same total amount of time, but spent an equal amount of time on each problem, how many minutes would each problem have taken?
If Mira had spent the same total amount of time but an equal amount of time on each problem, each problem would have taken around 2.36 minutes.
In the given plot, Mira spent varying amounts of time on each of the 55 math problems. To find out how many minutes each problem would have taken if Mira had spent an equal amount of time on each problem, we need to calculate the total time she spent and divide it by the number of problems.
Looking at the plot, we can estimate the total time Mira spent by counting the dots above each tick mark and multiplying them by the corresponding time interval. Let's break it down step by step:
The tick marks on the plot are at 7, 7.5, 8, 8.5, 9, 9.5, and 10 minutes per problem.
There are 2 dots above the unlabeled tick mark between 8 and 8.5 minutes per problem. We can assume it represents 8.25 minutes.
There are 3 dots above the 9.5 minutes per problem tick mark.
Now, let's calculate the total time Mira spent:
(7 * 2) + (7.5 * 2) + (8 * 2) + (8.25 * 2) + (9 * 2) + (9.5 * 3) + (10 * 2) = 129.5 minutes.
Since Mira spent a total of 129.5 minutes on 55 problems, each problem would have taken approximately 2.36 minutes (rounded to two decimal places) if she had spent an equal amount of time on each problem.
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Need helping solving for zero domain and range!!
Answer:
Zero: (1,0)
Domain: -infinity, + infinity
Range: -infinity, + infinity
Step-by-step explanation:
I know that the zero answer is right because zero is just another name for x intercept. Range is all possible y values and domain is all possible x values
Simplify 3-8 divided by 3-2
Answer:
-5
Step-by-step explanation:
\( \frac{3 - 8}{3 - 2} \)
\( \frac{ - 5}{1} \)
\( - 5\)
Complete the following table given this information: (Do not round intermediate calculations.) Cost of machine $ 94,000 Residual value $ 4,000 Useful life 5 years Estimated units machine will produce 100,000 Actual production: Year 1 60,000
Year 2 15,000 Use MACRS table.
Straight line method?
Units of production?
Declining balance?
MACRS (5-year class)
The completion of the following table under different depreciation methods is as follows:
Depreciation Expense:Method Year 1 Year 2
Straight line $18,000 $18,000
Units of production $54,000 $13,500
Declining balance $37,600 $22,560
MACRS (5-year class) $18,800 $30,080
Data and Calculations:Cost of machine = $94,000
Residual value = $4,000
Depreciable value = $90,000 ($94,000 - $4,000)
Estimated useful life = 5 years
Depreciation expense:
Straight-line method = $18,000 ($90,000/5)
Estimated units of produciton = 100,000
Unit depreciation rate = $0.90
Actual production Depreciation
Year 1 = 60,000 $54,000 ($0.90 x 60,000)
Year 2 = 15,000 $13,500 ($0.90 x 15,000)
Declining Balance:
Year 1 = $37,600 ($94,000 x 40%)
Year 2 = $22,560 ($94,000 - $37,600) x 40%
MACRS:
Year 1 = $18,800 ($94,000 x 20%)
Year 2 = $30,080 ($94,000 x 32%)
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Last month, Jason’s dog drank about 728 ounces of water and his cat
drank about 252 ounces of water.
If Jason’s dog continues to drink this amount, how many ounces of water will he have consumed after 6 months? Show your work in the box below.
Answer:
131,040
Step-by-step explaination:
There is around 29-31 days in a month, so if you just round it's around 30 days a month.
30×6= 180 (days)
180×728= 131,040 ounces
jasons dog would drink 131,040 in 6 months.
In Rebecca's neighborhood, 89% of the houses have garages and 48% have a
garage and a pool. What is the probability (in percent) that a house in her
neighborhood has a pool, given that it has a garage? Round your answer to 1
decimal place.
why are there two of these?
Answer:
53.9
Step-by-step explanation:
89% of all houses have garages and 48% have garages and pools. We try to find houses with a pool that have a garage. Let's assume that there are 100 houses in her neighborhood. then 89 of them have garages and 48 of them have garages and pools. 48 / 89 = about 0.5393. Conver this to percent and we get 53.9
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer:
KL = 7, so B is the correct answer.
Unit 4 Lesson 13 exit ticket (please help me im getting stressed with this)
Answer:
No solutions.
Step-by-step explanation:
Steps:
I will solve your system by substitution.
y=1/4x−10;y=1/4x+1
Step: Solve y=1/4x−10 for y:
Step: Substitute 1/4x−10 for y in y=1/4x+1:
y=1/4x+1
1/4x−10=1/4x+1
1/4x−10+−1/4x=1/4x+1+−1/4x(Add (-1)/4x to both sides)
−10=1
−10+10=1+10(Add 10 to both sides)
0=11
The given system of equation of No solution.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the equations:
y= 1/4 x - 10
y = 1/4x + 1
Now, Solve y=1/4x−10 for y by Substituting 1/4x−10 for y in y=1/4x+1 we get
y=1/4x+1
1/4x−10=1/4x+1
1/4x−10+−1/4x=1/4x+1+−1/4x
−10=1
0=11
thus, the equation have No solution.
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Aaron wants to mulch his garden. His garden is x^2+18x+81 ft^2 One bag of mulch covers x^2-81 ft^2 . Divide the expressions and simplify to find how many bags of mulch Aaron needs to mulch his garden.
Answer:
Step-by-step explanation:
Given
Garden: \(x^2+18x+81\)
One Bag: \(x^2 - 81\)
Requires
Determine the number of bags to cover the whole garden
This is calculated as thus;
\(Bags = \frac{x^2+18x+81}{x^2 - 81}\)
Expand the numerator
\(Bags = \frac{x^2+9x+9x+81}{x^2 - 81}\)
\(Bags = \frac{x(x+9)+9(x+9)}{x^2 - 81}\)
\(Bags = \frac{(x+9)(x+9)}{x^2 - 81}\)
Express 81 as 9²
\(Bags = \frac{(x+9)(x+9)}{x^2 - 9\²}\)
Evaluate as difference of two squares
\(Bags = \frac{(x+9)(x+9)}{(x - 9)(x+9)}\)
\(Bags = \frac{(x+9)}{(x - 9)}\)
Hence, the number of bags is \(Bags = \frac{(x+9)}{(x - 9)}\)
An arborist is preparing the fuel mix for her chainsaw before climbing a tree to remove a dead limb. The two-stroke chainsaw
requires a 5% mix of engine oil to gas-that is, the amount of oil should be 5% of the amount of gas. How much engine oil should
be added to a jerry can that contains 3.8 gallons of gas?
(Type a whole number or a decimal)
Answer:
To determine the amount of engine oil needed, we need to find 5% of 3.8 gallons:
0.05 x 3.8 = 0.19
So, 0.19 gallons of engine oil should be added to the jerry can.
Use the method of mathematical induction to prove that for each integer n≥1, 5+9+13+⋯+(4n+1)=2n^2+3n
Answer:
Step-by-step explanation: 834^2n>4n
Two cities are 1580 miles apart. A plane leaves one of them traveling towards the other at an average speed o 400 mile per hour. At that time a plane leaves the other traveling towards the first at an average speed of 390 miles per hr. How long will it take them to meet?
Answer:
2 hours
Step-by-step explanation:
Not needed
Determine the number of solutions of each system of equations.
-14x - 20y = 42
-14x - 20y = 42
A. Infinitely many solutions
B. There are two solutions
C. One solution
D. No solutions
PLEASE HELP ♡
Answer:
A. Infinitely many solutions
Step-by-step explanation:
You have written the same equation twice. Basically you have two variables, x and y, but only one condition binding them. As long as one changes you can determine the other.
round 4,719,429 to the nearest 10,000 pls
Answer:
4,720,000
Step-by-step explanation:
Answer:
4,720,000
Step-by-step explanation:
you want to round to the nearest 10,000 so in 4,719,429 you look at the nine. If that number is bigger than 5 you round up. 9 is bigger than 5, so it rounds to 4,720,000
Which term of the sequence 1/4;-1;-21/4;...is equal to -131/2
11, - 6, -1, 4, 9, 14, 19, ... are mapped onto 4. ... A;-l = (-ltQn (mod N),. (A5.34) ... 131 2, 14, 34, 38, 42, 78, 90, 178, 778, 974(1000).
Step-by-step explanation:
the nearest .1/2 incp, we say the 'unit 131/2 incl. 1.4 a measUrement is-stated tp- be 546 inch, this UM= the
The Smiths are moving across the country. Mr. Smith leaves 3 hours before Mrs. Smith. If he averages 40mph and she averages 50mph, how many hours will it take Mrs. Smith to catch up to Mr. Smith?
Since Mr Smith leaves 3 hours before Mrs Smith and he averages 40mph, the total distance that he covered in those 3 hours is:
\(3*40=120mi\)let t be the time wher Mrs Smith catches up with Mr Smith, and let d be the distance between them. Then, we can write the following equations:
\(\begin{gathered} d=40t+120 \\ d=50t \end{gathered}\)equating both expressions and solving for t, we get:
\(\begin{gathered} 40t+120=50t \\ \Rightarrow50t-40t=120 \\ \Rightarrow10t=120 \\ \Rightarrow t=\frac{120}{10}=12 \\ t=12 \end{gathered}\)therefore, it will take Mrs Smith 12 hours to catch up to Mr Smith
Consider the sequence whose first five terms are shown below.
8, 6, 4, 2, 0
Which function, with the domain of n = {1, 2, 3, 4, 5} defines this sequence?
A. f (n) = -2n + 10
B. f (n) = n -2
C. f (n) = -10n + 2
D. f (n) = -n + 9
The possible inputs of the function is given by the domain of the function
The function that defines the sequence with domain n = {1, 2, 3, 4, 5} is option A. f(n) = -2·n + 10
The given sequence is 8, 6, 4, 2, 0
The required domain of the function is n = {1, 2, 3, 4, 5}
Required:
The function having the given domain that defines the sequence
Solution:
The range of the sequence is f(n) = {8, 6, 4, 2, 0}
Therefore;
f(1) = 8, f(2) = 6, ...f(5) = 0
The first difference of the domain and the range are constant therefore the relationship is linear
The rate of change (slope) of the domain and range is given as follows;
\(Rate \ of \ change = \dfrac{8 - 6}{1-2 } = -2\)
The function relating the range, f(n), to the domain, n, in point and slope form is therefore;
f(n) - 8 = -2· (n - 1)
f(n) = -2·n + 2 + 8
The function in slope and intercept form is; f(n) = -2·n + 10
Therefore;
The function relating the range, f(n), to the domain, n is f(n) = -2·n + 10
The correct option is option A
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Select the correct answer.
Function bis nonlinear, and b(9) = 4. Which equation could represent function b?
The nonlinear- function which represents b(9)=4 is given by b(x)=72/x - 4 .
In mathematics and physics, a nonlinear system is one in which the change in the output is not proportional to the change in the input. Engineers, biologists, physicists, mathematicians, and many other scientists are interested in nonlinear problems since the majority of systems are inherently nonlinear.
Nonlinear function graphs don't resemble lines at all. It contains the formula f(x) = ax + b. Its equation can take any form, with the exception of f(x) = ax + b. The slope of the curve is the same between any two points. The point pairs on the graph do not all have equal slopes.
Of all the given options: the only equations which imply that b(9)=4 are :
i) b(x)=72/x - 4 and (iv) b(x)=4
Of this two options only the first option is non-linear.
Hence the required option is b(x)=72/x - 4 .
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Disclaimer:
The missing options are:
i) b(x) = 72/x - 4
ii) b(x) = √x + 7
iii)b(x) = 2x+1
iv) b(x) = 4
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Mike sold half of his comic books and then bought 8 more. He now has 18. How many did he begin with?
Answer: 20
Step-by-step explanation:
Answer:
20.
Step-by-step explanation:
If he sold half of them, bought 8 more, and now has 18, he had 20 to begin with.
I'll mark whoever answers first!! Please help me
Answer:
Center ( -8, 1 )
Radius ( 13 )
Find the slope of identity function using points (0,0) and ( 3,3) then from two points (0,0) and (-3,-3). Is there any change in its slope?
There is no change in its slope as initial and final slope is 1.
What is slope?
In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.
Main body:
formula for slope with two points form is =
y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)
according to question ,
points are (0,0) and (3,3)
y - 0 = (3-0/3-0)(x -0)
y = 3/3 *x
y = x
hence slope of line is 1.
Now points are (0,0) and (-3,-3).
y - 0 = (-3-0/-3-0)(x -0)
y =- 3/-3 *x
y = x
hence slope of line is 1.
So there is no change in its slope.
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A triangle LMN with ln = 12 cm,Nm= x cm, Nk = 6cm and Km 8cm
Calculate the value of
(i) x
(ii) o
The value of x is 9 cm, and angle O is 0 degrees.
To solve the triangle LMN and find the values of x and angle O, we can use the Law of Cosines and the Law of Sines. Let's go step by step:
(i) To find the value of x, we can use the Law of Cosines. According to the Law of Cosines, in a triangle with sides a, b, and c, and angle C opposite to side c, the following equation holds:
c^2 = a^2 + b^2 - 2ab * cos(C)
In our case, we want to find side NM (x), which is opposite to angle N. The given sides and angles are:
LN = 12 cm
NK = 6 cm
KM = 8 cm
Let's denote angle N as angle C, side LN as side a, side NK as side b, and side KM as side c.
Using the Law of Cosines, we can write the equation for side NM (x):
x^2 = 12^2 + 6^2 - 2 * 12 * 6 * cos(N)
We don't know the value of angle N yet, so we need to find it using the Law of Sines.
(ii) To find angle O, we can use the Law of Sines. According to the Law of Sines, in a triangle with sides a, b, and c, and angles A, B, and C, the following equation holds:
sin(A) / a = sin(B) / b = sin(C) / c
In our case, we know angle N and side NK, and we want to find angle O. Let's denote angle O as angle A and side KM as side b.
We can write the equation for angle O:
sin(O) / 8 = sin(N) / 6
Now, let's solve these equations step by step to find the values of x and angle O.
To find angle N, we can use the Law of Sines:
sin(N) / 12 = sin(180 - N - O) / x
Since we know that the angles in a triangle add up to 180 degrees, we can rewrite the equation:
sin(N) / 12 = sin(O) / x
Now, we can substitute the equation for sin(O) from the Law of Sines into the equation for sin(N):
sin(N) / 12 = (6 / 8) * sin(N) / x
Now, we can solve this equation for x:
x = (12 * 6) / 8 = 9 cm
So, the value of x is 9 cm.
To find angle O, we can substitute the value of x into the equation for sin(O) from the Law of Sines:
sin(O) / 8 = sin(N) / 6
sin(O) / 8 = sin(O) / 9
9 * sin(O) = 8 * sin(O)
sin(O) = 0
This implies that angle O is 0 degrees.
Therefore, the value of x is 9 cm, and angle O is 0 degrees.
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The figure for the given question is provided here :
A LOT OF POINTS!!!! PLZ ANSWER
Answer:
f(3x)= 3x+5/6x+2
substitute the value of X in the given question.
if u want simplified form then u can try rationalising.
f(3x)= 3x+5/6x+2 hope helped thanks for points