Answer:
[tex]x^{5/6 } + 2\cdot x^{7/3}[/tex]
Step-by-step explanation:
Let be [tex]x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2})[/tex], which can be simplified solely by algebraic means. We proceed to describe all the steps needed for simplification:
1) [tex]x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2})[/tex] Given.
2) [tex]x^{1/3}\cdot x^{1/2} + 2\cdot (x^{1/3}\cdot x^{2})[/tex] Distributive and associative properties.
3) [tex]x^{5/6 } + 2\cdot x^{7/3}[/tex] [tex]a^{m}\cdot a^{n} = a^{m+n}[/tex]/Result
The Tennis Club decided to buy T-shirts for its members. Action Sports Apparel quoted the following prices for the T-shirts.
Number of T-Shirts Total Cost (dollar)
11 153
16 213
21 273
Which equation best describes the relationship between the total cost, c(t), and the number of T-shirts, t?
A.
c(t) = 12 + 12t
B.
c(t) = 21t
C.
c(t) = 21 + 12t
D.
c(t) = 132t
Answer:
C. c(t) = 21 + 12t
Step-by-step explanation:
Show all work. 5. Find the surface area of the composite figure.
Answer:
4130 m²Step-by-step explanation:
[tex]2\cdot35\cdot20+2\cdot35\cdot15+2\cdot20\cdot15+2\cdot9\cdot18+2\cdot9\cdot21+18\cdot21=\\\\=1400+1050+600+324+378+378=4130\,m^2[/tex]
Which of the following choices are equivalent to the expression below? Check
all that apply. X^3/5
Answer:
[tex]\text{C. }(x^3)^{1/5},\\\text{F. }\sqrt[5]{x^3}[/tex]
Step-by-step explanation:
Exponent properties state [tex](a^b)^c=a^{(b\cdot c)[/tex]. Therefore, [tex]{x^{(\frac{3}{5})}=(x^3)^\frac{1}{5}[/tex].
Recall that [tex]a^{(\frac{b}{c})}=\sqrt[c]{a^b}[/tex]. Thus, [tex]x^{(\frac{3}{5})}=\sqrt[5]{a^3}[/tex].
A combined total of $53,000 is invested in two bonds that pay 2% and 8.5% simple interest. The annual interest is $3,335.00. How much is invested in each bond? The amount invested at 2% is $ The amount invested at 8.5% is $
Answer:
8.5 = $35,000
2% = $18,000
Step-by-step explanation:
two equations can be derived from the question
x + y = $53,000 equation 1
0.02x + 0.085y = $3,335.00. equation 2
x = amount invested in 2% bond
y = amount invested in 8.5% bond
multiply equation 1 by 0.02
0.02x + 0.02y = 1060 equation 3
subtract equation 2 from 3
0.065y = 2275
y = 35,000
substitute for y in equation 1
53,000 - 35,000 = 18,000
I chose the first answer, was I correct?
Explain!
Answer: Yes, by SAS
Step-by-step explanation:
This is because, two sides are equal and one angle is equal.
And also there is one angle between 2 sides, so it’s SAS
X A padlock's combination is five digits long using the digits o through 9. 0/4 Numbers can repeat within the combination. What is the probability that my combination has all even numbers in it (for example 22222 or 86840)? 0.01 w 0.03 0.05 Х O 0.1 Correct answer 0.03 OFC mooton Monday or Tuesday at 3PM 4PM
Answer:
Before we discuss permutations we are going to have a look at what the words combination means and permutation. A Waldorf salad is a mix of among other things celeriac, walnuts and lettuce. It doesn't matter in what order we add our ingredients but if we have a combination to our padlock that is 4-5-6 then the order is extremely important.
If the order doesn't matter then we have a combination, if the order does matter then we have a permutation. One could say that a permutation is an ordered combination.
The number of permutations of n objects taken r at a time is determined by the following formula:
P(n,r)=n!(n−r)!
Example
A code have 4 digits in a specific order, the digits are between 0-9. How many different permutations are there if one digit may only be used once?
A four digit code could be anything between 0000 to 9999, hence there are 10,000 combinations if every digit could be used more than one time but since we are told in the question that one digit only may be used once it limits our number of combinations. In order to determine the correct number of permutations we simply plug in our values into our formula:
P(n,r)=10!(10−4)!=10⋅9⋅8⋅7⋅6⋅5⋅4⋅3⋅2⋅16⋅5⋅4⋅3⋅2⋅1=5040
In our example the order of the digits were important, if the order didn't matter we would have what is the definition of a combination. The number of combinations of n objects taken r at a time is determined by the following formula:
C(n,r)=n!(n−r)!r!
Four friends are going to sit around a table with 6 chairs. In how many ways could the friends sit?
Step-by-step explanation:
NEED HELP WILL BRAINLIST AND 10 points
Answer:
-4, -2, 6, 10, 12
Step-by-step explanation:
The function is h(x) = 2x + 4. H(x) is basically just another way of writing "y", so we technically have y = 2x + 4. We can complete the table by substituting the value of x that the table gives us.
The table gives us x = -4 and wants us to find h(x), or y. So, we do y = 2(-4) + 4 and we get y = -4.
The table gives us x = -3 so we do y = 2(-3) + 4 and we get y = -2.
The table gives us x = 1 so we do y = 2(1) + 4 and we get y = 6.
The table gives us x = 3 so we do y = 2(3) + 4 and we get y = 10.
The table gives us x = 4 so we do y = 2(4) + 4 and we get y = 12.
Which inequality is equivalent to −<7 - y < 7 ?
Answer: you didn't provide anything for us to answer
Step-by-step explanation:
A 6 kg rock is dropped off a 10 m cliff and hits the ground with a velocity of 12.5 m/s. How much work is done by air resistance on the rock
a:119j
b:588j
c:100j
d:196j
The circus admits children for $2 each and adults for $5 each. How many of each ticket were sold if 160 total tickets were sold for $476?
Y is directly proportional to x write a formula in terms of x find the value of y when x is 0.6 find the value of x when y is 38.5
Answer:
a) [tex]x=\frac{y}{k}[/tex]
b) [tex]y=0.6k[/tex]
c) [tex]x=\frac{38.5}{k}[/tex]
Step-by-step explanation:
From the question we are told that:
[tex]y=38.5[/tex]
[tex]x=0.6[/tex]
Generally the equation for the directly proportional variable is mathematically given by
[tex]y \alpha x[/tex]
[tex]y=kx[/tex]
Where
[tex]K=proportionality\ constant[/tex]
a)
The Formula in terms of x
[tex]x=\frac{y}{k}[/tex]
b)
[tex]y=k(0.6)[/tex]
[tex]y=0.6k[/tex]
c)
[tex]38.5=kx[/tex]
[tex]x=\frac{38.5}{k}[/tex]
Please help
Extra hundred points and brainleist
Answer:
A
Step-by-step explanation:
It is A. The problem asks for the interval when the marlin's height is always increasing. Therefore, you want to look at the left half of the parabola, as the line is going into the peak. The right half is declining. The peak is at around 2 (on the x-axis), so you know that the ending interval number has to be 2. The marlin's height begins to go up starting at 0, so the interval is 0 <= x <= 2. Any number past two is a declining height, and the increase starts at 0.
What is the value of b on the number line below? A number line from 0 to 1 showing fourths. There is a dot labeled b that is halfway between one half and three fourths.
Answer:
B is 5/8
Step-by-step explanation:
Note: 4/8 = 1/2 and 6/8 = 3/4
Stephanie borrowed $4,500 at a simple interest rate of 3.5% to buy a motorcycle. How much interest did she have to pay if the loan was taken out for 3 years?
C
Step-by-step explanation:
hope this helps
Answers anyone I’m at risk for summer school ;-;
Answer:
1 is B 2 is D 3 is A 4 is A 5 is C 6 is A
1.) What percent of $144 is $18?
A.) 10%
B.) 12.5%
B.) 15%
D.) 17.5%
V
E.) None of these choices are correct.
Answer:
the anwser is 12.5 i did this question on a test last week
24 times 57 times 34 plus 50
Answer:
46,562 :) Brainliest pleaseeee
~Answer~
46,562
24*57*34=46,512
46,512+50=46,562
help please this is due by tonight
Answer:
0.27
Step-by-step explanation:
[tex]1)\ A_1 = \frac{h(a+b)}{2} = \frac{6(12+18)}{2} = \frac{6*30}{2} = \frac{180}{2} = 90[/tex]
[tex]2)\ A_2 = 14 * 24 = 336[/tex]
[tex]3)\ P = \frac{A_1}{A_2} = \frac{90}{336} = 27%[/tex]
A file is 261 megabytes is being downloaded. If the download is 14.1% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answer:
36.80
Step-by-step explanation:
261 x .141 = 36.801
Math
HELPP PLEASEEE
It is 1.32 pm, Sem will go to the store in 12 minutes. What time will Sam go
to the store?
Answer: 1:44
Step-by-step explanation: 1:32. take the 32 and add 12. 1:44
Answer:
1:32
Now add 12 minutes to 32.
1:44
Step-by-step explanation:
The number on the left of the colum is the hour and the number on the right of the colum is the minutes.
Dawn is going scuba diving. Which situation would be modeled by a positive number?
on the dive boat deck
at the water line
underwater near a reef
on the ocean floor
Answer:
Step-by-step explanation:
on the dive boat deck :)
Parker borrowed some money from his friend in order to help buy a new video game system. Parker agreed to pay the friend back some amount every week until his loan was paid off. An equation representing the amount Parker owes his friend after tt weeks is L=150-25t. What is the y-intercept of the equation and what is its interpretation in the context of the problem?
Answer:
L = 150
Step-by-step explanation:
y intercept: when x = 0
Plug in x = 0 into the equation.
L = 150
This means that Parker has not yet begun to pay his friend.
What percent of data is less than 20?
Answer:
100%
Step-by-step explanation:
The answer is 100% because all of the numbers in the data are less than 20. Therefore 100% of the data is less than 20.
Which equation represents a line which is parallel to the line 2x+y=-82x+y=−8?
y= 2x-1
y= -2x+1
y= 1/2x -6
y= -1/2x -5
Answer:
x=7 is the line parallel to the given line x=8 . Parallel lines are the lines which are always same distance apart and never intersect. The given line is x=8 with intersects the x axis at x=8 and it is parallel to y axis with slope infinite or not defined.
Step-by-step explanation:
Please I need help!!!!
Answer:
y=1/4x-1
Step-by-step explanation:
So lets start off by going over what slope intecerp form is.
Slope intercept form looks like this:
y=mx+b
Lets go over the different values in this formula:
y is always going to just be what mx+b equals, and you can plug in values for x to solve for it.
m is always teh slope. The slope is y/x, basically just the change in y over the change in x.
x is going to be the number you plug in a value for to solve for y.When writing slope intercept form, this will always just be x.
Lastly we have b. This is what y equals when x is 0.
Lets use this to make our slope intercept.
So we have:
y=mx+b
y and x are not going to have a written value, so we only need to determine m and b.
So lets find b.
B will be the slope. When we look at the points on the graph, we see (-4, -2) and (0, -1)
The difference in y is -1.(-2--1=-1). The difference in the x is -4.(-4-0=-4).
So b will be: -1/-4, or just 1/4:
y=1/4x+b
Now lets find b.
Lets specificly lookat what y equals when x is 0 on the graph.
We can see the point is (0, -1)
So the y intercept is -1. This means b is equal to -1:
y=1/4x-1
This is your slope intercept!
Hope this helps! :D
Sorry for bad grammar, I am writting on a strange keyboard.
expanding triple brackets, i will give brainliest
Answer:
Step-by-step explanation:
Easy
(x^2+10x+24)(x+3)
(x^3+10x^2+24x + 3x^2+30x + 72)
x^3 + 13x^2+54x+72
[tex]x {3}^ + 13x + 54x + 72[/tex]
A jeweler had 38 inches of silver chain. She need five times that much to make some necklaces and 3 times that amount to make some bracelets. How much silver chain does the jeweler need to make her necklaces and bracelets?
Answer:
304 IN
Step-by-step explanation:
total inches needed for necklace : 38 x 5 = 190
total inches needed for necklace : 38 x 3 = 114
190 + 114 = 304 inches
I've eliminated A & B already, I Just need help with the volume. NO LINKS!!
Answer:
Step-by-step explanation:
Area of equilateral triangle = ([tex]\sqrt{3}[/tex]/4) * [tex]2^{2}[/tex]
1.732050 * 7 = 12.123[tex]mm^{3}[/tex]
A study found that soda sales increase in stores located in neighborhoods that have banned soda sales in schools which best
describes how such a study would be designed as an observational study?
Answer:
Step-by-step explanation:
No attempt is made to influence anything - just ask questions and record the responses. By definition, An observational study measures the characteristics of a population by studying individuals in a sample, but does not attempt to manipulate or influence the variables of interest.
How many proportional relationships are shown in the coordinate plane below?
Answer:
The answer is A) There are no proportional relationship
Step-by-step explanation:
The green line does not go through the origin and it is curved. This is not a proportional relationship.
Problems: It does not go through 0,0 and it is curved.
----------------------------------------------------------------------------------------------------------------
The blue line may go through the origin but it is curved. This is not a proportional relationship.
Problem: It is curved.
----------------------------------------------------------------------------------------------------------------
The purple line does not go through the origin. This is not a proportional relationship.
Problem: It does not go through 0,0
----------------------------------------------------------------------------------------------------------------
Conclusion: Since the green, blue, and purple line are not proportional, this means zero lines are proportional.
Note:
I know my answer is very late but I wanted to help anyone who needs it for future reference.
The graph has 0 proportional relationships.
What shows proportional relation?
The graph of a proportional relationship is a straight line through the origin or a ray whose endpoint is the origin.
How many proportional relation in graph?
In the given graph, only one purple color curve is a straight line but it is not starting through the origin.
Therefore, the graph does not have any proportional relationships.
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