Answers
Properties of Exponential Function for Roots.
[tex]a^{\frac{m}{n}}=\sqrt[n]{a^m}[/tex]
The first one is wrong as 4^1/2 would equal √4 = 2
The second choice is correct.
The third choice is correct because ∛8 = 2 and √4 also = 2
The fourth choice is wrong because √8 = 2√2
The fifth choice is also wrong because 2^1/2 would be √2 while √32 is 2^5
The sixth choice is 3^3/2 which would equal √27 = 3√3 which is correct.
Related Questions
Suppose that y varies directly with x, and y = 10 when x = 25.
(a) Write a direct variation equation that relates x and y.
Equation:
(b) Find y when x = 6.
y =
Answers
Answer:
Equation: y = 0.4x
y = 2.4
Step-by-step explanation:
Use the direct variation equation, y = kx, where k is a constant
Plug in x and y:
y = kx
10 = k(25)
Solve for k:
0.4 = k
So, the equation is y = 0.4x
Then, use this equation to find y when x = 6:
y = 0.4x
y = 0.4(6)
y = 2.4
A direct proportion is a proportion such that the ratio between both variables remains constant thus the given proportion will be y = 04x and the value of y at x = 6 will be 2.4.
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.
a)
Let's say the direct proportion as,
y = kx
Given that y = 10 when x = 25.
10 = k(25)
Solve for k,
0.4 = k
Therefore, the equation will be y = 0.4x
y = 0.4x
b)
The value of y when x = 6
y = 0.4(6)
y = 2.4
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Kenny is on the local swim team for the summer and has swim practice
five days per week. The schedule is the same each day. The team swims in
the morning and then again for 3 hours in the evening. If he swims 30
hours per week, how long does he swim each morning. Write and solve
the equation. You must show the equation and solved solution in order to
receive credit. *
Answers
Answer:
She swims for 3 hours each morning.
Step-by-step explanation:
To determine the number of hours that Kenny swims in the morning, it is necessary to perform the following equation, taking into account that he swims 5 days a week for a total of 30 hours a week, and that in the afternoon he swims for 3 hours:
X + 3 x 5 = 30
X + 3 = 30/5
X = 6 - 3
X = 3
Therefore, Kenny swims for 3 hours in the morning.
for algebra 2 please help <3
Answers
Answer:
A. 1
Step-by-step explanation:
✔️To find f(g(1)), first find g(1).
From the mapping given for g(x), the corresponding value of x = 1, is 0.
That is,
g(1) = 0
✔️Next is to find f(g(1)) by replacing x with 0 in f(x) = 3√x + 1
Thus:
f(g(1)) = 3√0 + 1
f(g(1)) = 0 + 1
f(g(1)) = 1
A test of a new car results in 300 miles on 10 gallons of gas. How far could you drive on 45 gallons of gas?
Question 5 options:
1350 miles
67 miles
670 miles
135,000 miles
Answers
Answer:
1350
Step-by-step explanation:
300x4=1200
300×.5=150
1200+150=1350
Is precipitation a function of month? Explain why or why not, in at least
two full sentences.
Answers
Answer:
I cannot see the question
Step-by-step explanation:
what is 10:40 plus 7:15 in time?
Answers
Answer:
5:55
Step-by-step explanation:
just add it up and you'll get the answer which is 5:55
Answer:5:55
Step-by-step explanation: lol
Which two expressions are equivalent?
(F was wrong) H 7(x − 3) and 7x − 7 • 3
g 7(x − 3) and 7x − 4 j 7(x − 3) and 7x + 7 • 3
Answers
Answer:
The correct answer is:
Option H: 7(x − 3) and 7x − 7 • 3
Step-by-step explanation:
Equivalent expressions are those expressions that simplify to the same expression i.e. the result of both expressions is the same. There is no change of sign or variable or any quantity.
Option H:
The two expressions are:
7(x − 3) and 7x − 7 • 3
[tex]7(x-3) = 7x - 21\\7x - 7.3 = 7x-21[/tex]
It can clearly be seen that both the expressions result in same expression
Hence,
The correct answer is:
Option H: 7(x − 3) and 7x − 7 • 3
40 POINTS Geometry homework
Answers
[tex]\angle{DBC }[/tex]=(5x+4)°
[tex]\angle{ A }[/tex]=(2x-2)°
[tex]\angle{C }[/tex]=(4x-6)°
we know that,
[tex]\angle{DBC}[/tex]=[tex]\angle{A}[/tex]+[tex]\angle{C}[/tex]
According to the question,
[tex]\tt{ 5x+4=2x-2+4x-6 }[/tex]
[tex]\tt{ 5x+4=6x-8 }[/tex]
[tex]\tt{ 6x-5x=4+8 }[/tex]
[tex]\blue{x=12 }[/tex]
so,
[tex]\angle{C }[/tex]=(4x-6)°=(4×12-6)°=(48-6)°=42°
You have $40 to start a savings account. You plan to put $10 in the account each month.
Write an equation that represents the relationship in the story.
Answers
Equation: y = 10m + 40
m = number of months
a flour company in minneapolis wants to know what percent of local households bake at least twice a week. A company representative calls 500 randomly selected local households from 8am to 5pm during the week and finds that 56% of them bake at least twice a week
Answers
Answer:
Step-by-step explanation:
The response of this would be to say that those people without daytime jobs that are outside the home, are more likely to be home and thus, have more time on their hands to attempt to bake. So basically, the quoted 56% is definitely going to be higher than the population percentage.
Which of the fractions is equivalent to 2/5 ?
5/2
4/25
12/15
4/10
Answers
The fourth option
4/10
Answer:
4/10
Step-by-step explanation:
4/10 simplifies to 2/5
4/2 = 2
10/2 = 5
A parabola can be drawn given a focus of (-4, -5) and a directrix of y=3. Write the equation of the parabola in any form.
Answers
Answer:
The equation of the parabola is (x + 4)² = -16(y + 1)
Step-by-step explanation:
The standard form of the equation of the parabola is (x - h)² = 4p(y - k), where
The vertex of the parabola is (h, k)The focus is (h, k + p)The directrix is at y = k - p∵ The focus at (-4, -5)
∴ h = -4
∴ k + p = -5 ⇒ (1)
∵ The directrix at y = 3
∴ k - p = 3 ⇒ (2)
→ Add equations (1) and (2) to find k
∴ 2k = -2
→ Divide both sides by 2 to find k
∴ k = -1
→ Substitute it in equation (1) to find p
∵ -1 + p = -5
→ Add both sides by 1
∴ -1 + 1 + p = -5 + 1
∴ p = -4
→ Substitute the values of h, k, and p in the formula above
∵ (x - -4)² = 4(-4)(y - -1)
∴ (x + 4)² = -16(y + 1)
∴ The equation of the parabola is (x + 4)² = -16(y + 1)
y-2=1/4(x-3)
how can i graph this?
Answers
Answer:
your anwer is x=4y-5
Step-by-step explanation:
A baker has three banana muffin recipes. Recipe AAA uses 333 bananas to make 121212 muffins. Recipe BBB uses 555 bananas to make 242424 muffins. Recipe CCC uses 111111 bananas to make 484848 muffins.
Order the recipes by number of bananas per muffin from least to greatest.
Answers
Answer: Recipe Buses 5 bananas to make 24 muffins. Recipe C uses 11 bananas to make 48 muffins.
Step-by-step explanation:
What is the quotient in simplest form? 4/5 ÷ 8 a. 1/10 b. 1/2 c.8 d. 20
Answers
Answer:
1/10
Step-by-step explanation:
Answer:
4/5 divided by 8 is 4/40 and 1/10 if simplified.
Step-by-step explanation:
1. What is the place value of the 5 in the number 1,589,302? *
hundreds
O hundred thousands
millions
Answers
Answer:
Hundred thousand
Step-by-step explanation:
500,000
The graph below shows where the two functions y = f(x) and y = g(x) intersect. Solve the equation f(x) = g(x).
Answers
There are two solutions because the two functions cross each other twice.
The solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).
We have a graphical representation of two functions f(x) and g(x) and where they intersect.
We have to solve the equation f(x) = g(x)
Two functions A(x) and B(x) are plotted on the graph such that these these two functions intersect each other at three different coordinates. The total number of solutions possible for - A(x) = B(x) is ?The total number of solutions can be calculated by counting the points at which these curves intersect each other. Hence, the total number of possible solutions are 3.
In the question given - We have a straight line and a parabola -
Now, we just have to look at the points at which these two graphs intersect each other. It can be seen that - both the graphs cut each other at coordinates - (4, 8) and (-2, 2).
Hence, the solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).
Alternative Method -
The general equation of straight line is : y = mx + c and that of parabola is : y = [tex]\sqrt{4ax}[/tex]
The solution can be calculated by equating both of the above expressions and solving them.
mx + c = [tex]\sqrt{4ax}[/tex]
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Joe has read 20% of a book. He has 16 more pages to finish. How many pages are there in the book?
There are pages in the book.
(Type a whole number.)
Plz answer ASAP
Answers
Answer:
20
Step-by-step explanation:
16 is 80% of 20
Helpppppppppppppppppp
Answers
Answer:
ik that problem gimmie a sec
Step-by-step explanation:
Step-by-step explanation:
since 1 and 2 are same the lines which create 1(g and p) and 2(h and r)
the lines g h and p r shoul be parallel. we also know that g h is parallel which proves that p and r should be parallel as well
could you please help with this equation:
Simplify the algebraic expression: 4(3x + y) – 2(x – 5y)
Answers
Answer: 10x + 14y
Step-by-step explanation: just simplify it
Answer:
10x+14y
Step-by-step explanation:
Help me pleaseeeeeeeeeeee
Answers
Answer:
they first answer or a
Step-by-step explanation:
because if you look at stage direction he is just facing the crowd
Answer:
The stage direction shows how King Frederick looks when he speaks.
Step-by-step explanation:
3. Solve the following application of a system of linear equations.
Two students in the same Spanish class, Cindy and Ruben, plan to get together after school to make
vocabulary flashcards. Cindy started on the project yesterday and has already made 14 flashcards.
Ruben hasn't started yet so he has none. Since Cindy makes 9 flashcards per minute and Ruben makes
10 flashcards, Ruben will soon have the same number of flashcards.
Which variables will you use and what do they represent?
Write your system of linear equations below.
Solve the system.
How much time will it take for Cindy and Ruben to have the same number of flashcards?
How many flashcards will each student have at that time?
Answers
Answer:
Equations:
[tex]y = 14 + 9 x[/tex] --- Cindy
[tex]y = 10 x[/tex] --- Ruben
Solution to equation:
Time they have the same amount: 14 minutes
Number of cards they have at that time: 140 flashcards
Step-by-step explanation:
Solving (a): Variables and what they represent
The variables to use are x and y
Where x represent the minutes and y represents the number of flashcards in x minutes
Solving (b): System of linear equation
Cindy:
[tex]Existing\ Flashcards = 14[/tex]
[tex]Additional = 9[/tex] per minute
Total number of flashcards (y) in x minutes is:
[tex]y = Existing\ Flashcards + Additional * x[/tex]
[tex]y = 14 + 9 * x[/tex]
[tex]y = 14 + 9 x[/tex]
Ruben:
[tex]Rate = 10[/tex] per minute
Total number of flashcards (y) in x minutes is:
[tex]y = Rate * x[/tex]
[tex]y = 10 * x[/tex]
[tex]y = 10 x[/tex]
Solution to Equations:
Time they have the same amount.
To do this, we [tex]equate[/tex] [tex]both[/tex] expressions
i.e.
[tex]10x = 14 + 9x[/tex]
Collect Like Terms
[tex]10x - 9x = 14[/tex]
[tex]x = 14[/tex]
Number of cards they have at that time.
Here, we simply substitute 14 for x in any of the equations.
[tex]y = 10 x[/tex]
[tex]y = 10 * 14[/tex]
[tex]y = 140[/tex]
or
[tex]y = 14 + 9 x[/tex]
[tex]y = 14 + 9 * 14[/tex]
[tex]y = 14 + 126[/tex]
[tex]y = 140[/tex]
solve for x.
x/6 =2
A.x=3
B.x=-12
C.x=12
Answers
Answer:
C. x=12
Step-by-step explanation:
It was cloudy 12 out of 30 days in April. Which value is equivalent to the fraction of
days it was cloudy in April?
Answers
Answer:
any of the below:
Step-by-step explanation:
12/30
6/15
2/5
Answer:
2/5, or 40%.
Step-by-step explanation:
Write it as a fraction first, then reduce it to simplest form.
12/30
Simplest form is 2/5, or 40%
24/30 in the simplest form
Answers
Answer:
The answer to this question is 4/5.
Answer:
4/5 or 0.8
Step-by-step explanation:
we divide tap and bottom by 6.
help as fast as you can!!!!!! Any living thing is called an organism,no matter if it is one-celled or many-celled. True or False?.
Answers
Answer:
true
Step-by-step explanation:
Answer:
TRUE.
Step-by-step explanation:
A business person is desperate to better organize their business. They hire you to act as an efficiency expert. As you review their situation, you notice they file all of their receipts and documents into one overflowing folder. Their workspace is very messy with many piles of papers and useless knick-knacks. They mention difficulty finding important documents and have forgotten important dates and events due to their clutter. Write a formal letter to your client offering tips on ways to make their business more organized and efficient. Make sure your letter has specific examples which can improve the business' organization.
Answers
Answer:
Simply have neat and organized ways to save files. You can do this with file cabinets or by having digital copies of all the files to get rid of the clutter. I would recommend the second option.
Step-by-step explanation:
I got it right
The formal letter to the client offering tips on ways to make his business more organized and efficient is;
51, broad street,
Times Square Church,
New York City.
2/12/2021
The General Manager,
Clad financial services Ltd,
Brooklyn, New York city.
Dear Mr. Bill Wilkinson,
Letter of advice on more organized and efficient business.
I am writing with respect to the need to have a more organized and efficient office. Since resumption into this role as an efficiency expert, I have noticed that specific files and documents are very difficult to locate due to unorganization and untidiness.
With respect to the issue of unorganization and untidiness, I have some neat and organized ideas that can be used to save files. This can be can done by making use of file cabinets and also by creating and saving digital copies of all the files in order to get rid of some of the files and documents occupying a lot of space in the office.
Secondly, I will also like to add that unwanted papers or files should be thrown away and the files on the shelf should be properly labeled for easy identification.
Regards.
Frank Johnson,
Efficiency Expert.
Read more at; https://brainly.com/question/9510603
PLEASE HELP MEH ON THIS ASAP!!!!
Answers
Answer:
b
Step-by-step explanation:
Answer:
option B
Step-by-step explanation:
a is located in the left side of 0 . HENCE IT IS A NEGATIVE NUMBER . b & c are on the right side of 0. HENCE BOTH ARE POSITIVE NUMBER
In option B , it's given that -a > -c . If we'll verify this statement , we'll find that when we put the negative sign in a , the all totla value of a becomes positive BECAUSE 'a' WAS A NEGATIVE NUMBER.
Now if we put a negative sign in c , the all total value becomes negative BECAUSE 'c' WAS A POSITIVE NUMBER.
By comparing -a & -c , we'll get to know that :-
-a > -c
Sunny made 2 pitchers of strawberry smoothies for the science club. If each person got One-fifth of a pitcher, how many science club members are there?
2 area models. Both models are made up of 5 shaded parts.
Which statements are true?Check all that apply.
The correct division problem is One-fifth divided by 2.
The correct division problem is 2 divided by one-fifth.
The quotient isStartFraction 1 Over 10 EndFraction.
The quotient is 10.
There are 10 members in the science club.
There are StartFraction 1 Over 10 EndFraction members in the science club.
Answers
Answer:
tell me what grade u are in and I will try my best to help
Answer:WAIT I HAVE IT
Step-by-step explanation:
Helen borrowed money from her aunt to pay for college expenses. The graph below shows the amount left
on the loan as it is paid off over time. Write a linear equation that describes the amount, A, that Helen owes her
aunt to the number of months, n, since she borrowed the money. Show your work that supports your answer
Answers
Answer:
[tex]y = -100x + 13000[/tex]
Step-by-step explanation:
See attachment for graph
First, we need to take any corresponding values of x and y
[tex](x_1,y_1) = (0,13000)[/tex]
[tex](x_2,y_2) = (130,0)[/tex]
Next, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{0 - 13000}{130 - 0}[/tex]
[tex]m = \frac{- 13000}{130}[/tex]
[tex]m = -100[/tex]
Next, we calculate the line equation using:
[tex]y - y_1=m(x-x_1)[/tex]
[tex]y - 13000 = -100(x - 0)[/tex]
[tex]y - 13000 = -100x[/tex]
Make y the subject
[tex]y = -100x + 13000[/tex]
Hence, the line equation is:
[tex]y = -100x + 13000[/tex]