Answers
Answer:
d.
Step-by-step explanation:
To convert a root to a fraction in the exponent, remember this rule:
[tex]\sqrt[n]{a^{m}}=a^{\frac{m}{n}}[/tex]
The index becomes the denominator in the fraction. (The index is the little number in front of the root, "n".) The original exponent remains in the numerator.
In this question, the index is 4.
The index is applied to every base in the equation under the root. The bases are 16, 'x' and 'y'.
[tex]\sqrt[4]{16x^{15}y^{17}} = (\sqrt[4]{16})(\sqrt[4]{x^{15}})(\sqrt[4]{y^{17}}) = (2)(x^{\frac{15}{4}}})(y^{\frac{17}{4}}) = 2x^{\frac{15}{4}}}y^{\frac{17}{4}}[/tex]
To find the quad root of 16, input this into your calculator. Since 2⁴ = 16, [tex]\sqrt[4]{16}[/tex] = 2.
For the "x" and "y" bases, use the rule for converting roots to exponent fractions. The index, 4, becomes the denominator in each fraction.
[tex]2x^{\frac{15}{4}}y^{\frac{17}{4}}[/tex]
Related Questions
Suppose Tommy walks from his home at (0, 0) to the mall at (0, 8), and then walks to a movie theater at (6, 8). After leaving the theater Tommy walks to the store at (6, 0) before returning home. If each grid square represents one block, how many blocks does he walk?
Answers
Answer:
He walks 28 blocks.
Step-by-step explanation:
0,0 to 0,8 is 8 blocks
0,8 to 6,8 is 6 blocks
6,8 to 6,0 is 8 blocks
returning home (6,0 to 0,0) is 6 blocks
8+6+8+6=28 blocks
Y=-2x on a graph line
Answers
Answer: Its gonna be a line going down to the right
Step-by-step explanation:
find the measure of ∠6
Answers
Answer:
75 degrees would be it
What is the justification for step 2 in the solution process? 12 − x = 7x + 32 Step 1: -x = 7x + 20 Step 2: -8x = 20 A. the addition property of equality B. the division property of equality C. the subtraction property of equality D. the multiplication property of equality
Answers
Answer:
C. the subtraction property of equality
Step-by-step explanation:
Answer:
C. the subtraction property of equality
Step-by-step explanation:
If r = −6, s = −2, and t = −3 then evaluate –t(r – s).
Answers
3(-4)
12
;( the correct
Answer:
3(-6 + 2) = -12
Step-by-step explanation:
If a negative is multiplied by another negative we will have a positive, t is -3 and when a negative is in the way the equation is now 3(r - s).
S is - 2 with the negative in the way its now 3(r + 2) ad last r = -6 with no negative in the way the equation is now 3(-6 + 2) which equals 12.
Hope it helps.
Please consider marking brainliest. :)
What is the solution for x in the equation -x + 3/7 = 2x - 25/7
Answers
Answer:
4/3
Step-by-step explanation:
-X + 3/7 = 2X - 25/7
2X + X = 3/7 + 25/7
3X = 28/7
3X = 4
X = 4/3
Answer:
4/3
Step-by-step explanation:
Find the distance between the given points. (2,4) (6,-2)
Answers
Answer:
y=-1/2x+7
Step-by-step explanation:
what is 3.5(2.25 + x)= 14
Answers
Step 1: Simplify both sides of the equation.
3.5(2.25+x)=14
(3.5)(2.25)+(3.5)(x)=14(Distribute)
7.875+3.5x=14
3.5x+7.875=14
Step 2: Subtract 7.875 from both sides.
3.5x+7.875−7.875=14−7.875
3.5x=6.125
Step 3: Divide both sides by 3.5.
3.5x/3.5=6.125/3.5
x=1.75
Answer:
x=1.75
Step-by-step explanation:
5. Use multiplicatonto show
that 1/4 is
equivalent to 3/12
Answers
Answer:
1 Simplify 3/12 to 1/4
1/4 =1/4
2 Since both sides equal, there are infinitely many solutions.
Infinitely Many Solutions
Ada's lunch costs $14.32. She hands the cashier $20.
About how much change will Ada receive?
Answers
.
Paul has $35000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 8%
interest and part at 14% interest. How much does Paul need to invest in each option to make get a total 11% return on
his $35000?
Investing for 8% return: $
9
Investing for 14% return: $
B
Answers
Answer:
$17,500 at 8%$17,500 at 14%Step-by-step explanation:
The fraction that needs to be invested at the higher rate is ...
(11% - 8%)/(14% -8%) = 3%/6% = 1/2
Half the money should be invested at each of the rates:
$17,500 for 8% return
$17,500 for 14% return.
_____
If you let x represent the amount at the higher rate, then the total return is ...
14%x + 8%(35000 -x) = 11%(35000)
(14% -8%)x = (11% -8%)(35000) . . . . subtract 8%·35000
x = (11% -8%)/(14% -8%)×35000 . . . . divide by the coefficient of x
Note that this formula is exactly the one we started with, above.
What is the value of x and y of the parallelogram?
Answers
Answer:
X=15
Y=45
Step-by-step explanation:
Which of these is a ratio table?
Pls help
Answers
Answer:the one at the very bottom
Step-by-step explanation:Because 1-2 is right so then 2-blank would have to be 4 which is the very bottom one.
The correct answer would be option (D) which is a ratio table.
What is a Ratio Table?A ratio table is a table that shows the recurring relationship between two values. A set of data points can be used to observe the constant relationship. A set of data with a constant relationship between two values is a comparison of miles traveled to hours traveled. A special type of ratio is the comparison of two different quantities. A rate compares quantities measured in different units.
As per option (D), we have
A B
1 2
2 4
3 6
The ratio of A and B is :
A:B = 1/2 = 1:2
A:B = 2/4 = 1/2 = 1:2
A:B = 3/6 = 1/2 = 1:2
Hence, we can conclude that this is a ratio table.
The correct answer would be option (D)
Learn more about the Ratios here:
brainly.com/question/1504221
#SPJ5
I need help with this
Answers
Answer:
with what
Step-by-step explanation:
how do i learn how to do divison without using a peice of paper, i wanna do it in my head, can i get some help?
Answers
Answer:I did lattice math over the summer in between 4th and 5th grade when I was bored and wanted to enjoy the sun and now I can do division in my head
Step-by-step explanation: go learn how to do lattice and then do it over and over again. Give yourself a prize time you do like 5 or something and do double digits to challenge yourself
Answer:
Abri do what i showed you on paper but in your head do the circles divide them into groups in your head ( also we are sister i am 13 she is younger i'm in 7th grade she is in 6th )
Step-by-step explanation:
Susan is drawing a triangle. The first segment she draws is 6 centimeters in length, and the second segment is 8 centimeters long. What must the third segment be to be able to create a triangle?
Group of answer choices
15
14
16
12
Answers
Answer:
14
Step-by-step explanation:
Because to make a triangle, if two sides of the triangle is added and is equal to the third side then the triangle can be made.
In this case one side is 6 cm and the other is 8cm, if added its 14 cm and it will make a triangle
A multiple choice exam has 100 questions, each with 5 choices. If a student randomly guesses the answer to a question on the exam, what is the probability that he will get that answer correct?
Answers
Final answer:
The probability of a student guessing the correct answer on one multiple choice question with five possible choices is 20%. For specific targets, such as guessing more than 75% correctly, the binomial probability formula would be used.
Explanation:
If a student is taking a multiple choice exam with 100 questions and each question has 5 choices, the probability of guessing correctly on any single question is simply 1 in 5, as there is only one correct answer out of five possibilities. To calculate the probability of an event such as this, where each event is independent and there's an equal chance of each outcome, we use the formula for the probability of a single event, which is P(Event) = Number of successful outcomes / Total number of possible outcomes.
Therefore, the probability of the student guessing the correct answer on one question is P(Correct) = 1/5 or 20%.
If we are dealing with a question about guessing more than a certain percentage correctly, such as more than 75%, we would use the binomial probability formula, which is a bit more complex and depends on the specific question being asked.
Rachael is working at Taco Bell. She gets paid $8.00 per hour she works. She works 12 hours per day, for 5 days per week. How much does she get paid in 1 week? How much does she get paid in 2 weeks?
Answers
Answer:
she will be paid $480 for one week and $960 for two
Step-by-step explanation:
let P = paycheck
let d = days
let h = hours
P = d (8*h)
P = 5(8*12)
P = $480
to find two weeks multiply week one by 2
A dvd is marked down 15% the regular price is $12 what is the sale price?
Answers
15% off means the dvd is selling for 85% of the original price ( 100% - 15%=85%)
Multiply the original price by 85%
12 x 0.85 = 10.20
The price is $10.20
If Nora's house has an assessed value of $76,320 and a real estate tax rate of $2.98 per $100,
what will she pay in real estate tax?
A.$3,567.34
B.$2,274.34
C.$2,008.94
D.$1,345.26
Answers
Option B:
$2,274.34
Step-by-step explanation:
Given Nora's house has an assessed value = $76,320
Real estate tax rate = $2.98 per $100
[tex]=\frac{2.98}{100}[/tex]
= $0.0298
Tax for assessed value $76,320 = $76,320 × $0.0298
= $2274.336
= $2274.34
Hence, tax for Nora's house is $2274.34.
Form a union for the following sets.
K= {2, 3, 5, 8}
L = {3, 5, 7}
00)
O (3,5}
O [2, 3, 5, 7, 8]
O (2,7,8)
Answers
Answer:
The Correct option is third one { 2, 3 , 5 , 7 , 8 }.
Therefore,
KUL = { 2, 3 , 5 , 7 , 8 }
Step-by-step explanation:
Set:
A set in mathematics is a collection of well defined and distinct objects, also consist of a collection of elements.
Examples given here is
K = { 2, 3 , 5 , 8 }
K is a set consist of number two, three, five, and eight.
Similarly,
L = { 3 , 5 , 7 }
L is a set consist of number three, five, and seven.
Union:
The union of a collection of sets is the set of all elements in the collection.
It is denoted as ' ∪ '
Therefore,
(K∪L) = { 2, 3 , 5 , 7 , 8 }
It is the collection of set K and L both together.
Therefore,
KUL = { 2, 3 , 5 , 7 , 8 }
How do you calculate y-intercept
Answers
Answer:
In the equation y = mx + c if we substitute the value of x as zero we will get a point on the y axis given by y =(m × 0) + c ⇒ y = c. Therefore the point of the line on the y axis is (0, c) and so c is also called the y intercept of the line.
Step-by-step explanation:
i) from the general equation of line we know that any line can be represented in the form y = mx + c , where m is a constant and is called the slope of the line and c is also a constant and is the y-intercept.
ii) In the equation y = mx + c if we substitute the value of x as zero we will get a point on the y axis given by y =(m × 0) + c ⇒ y = c. Therefore the point of the line on the y axis is (0, c) and so c is also called the y intercept of the line.
iii) If for example we have the line 3y = 6x + 12 then we first get this equation of the line to match the general form of the equation of the line, that is y = mx + c. Therefore dividing both the left and the right sides of the given equation of the line by 3 we get y = 2x + 4 which matches with the general form of the equation for line and we see that the slope of the given line is m = 2 and the y intercept is given by c = 4.
Find the sum:261+345+502
Answers
Answer:
1108
Step-by-step explanation:
1
261
345
502
------
1108
:)
find the area of the trapezoid 21m by 7m by 21m
Answers
Answer:
its 294 hope this helps
Step-by-step explanation:
Which of the following represents Exponential Growth? Choose all that apply.
Group of answer choices
y=(5/4)^x
y=4^-x
y=5^x
y=(4/5)^x
Answers
Answer:
[tex]y=(\frac{5}{4})^x[/tex]
[tex]y=5^x[/tex]
Step-by-step explanation:
we know that
In a exponential function of the form
[tex]y=a(b^x)[/tex]
where
a is the initial value
b is the base
If the value of b >1 ----> then is a exponential growth
If the value of b <1 ----> then is a exponential decay
Verify each case
case a) we have
[tex]y=(\frac{5}{4})^x[/tex]
[tex]b=\frac{5}{4}[/tex]
b> 1
therefore
The function represent exponential growth
case b) we have
[tex]y=(4)^{-x}[/tex]
[tex]b=\frac{1}{4}[/tex]
b< 1
therefore
The function represent exponential decay
case c) we have
[tex]y=5^x[/tex]
[tex]b=5[/tex]
b> 1
therefore
The function represent exponential growth
case d) we have
[tex]y=(\frac{4}{5})^x[/tex]
[tex]b=\frac{4}{5}[/tex]
b< 1
therefore
The function represent exponential decay
The functions y=(5/4)^x and y=5^x represent exponential growth since the value of the function increases as the exponent (x) increases. This pattern follows the characteristic of exponential growth, where larger values lead to faster rates of increase.
Explanation:Exponential growth occurs in mathematics when a quantity increases by a fixed percentage or fraction over equal intervals of time. This can be represented by a mathematical function where the variable is an exponent. Looking at the provided options, let's determine which ones represent exponential growth:
y=(5/4)^x: This function represents exponential growth because as x increases, the value of the function also increases proportionally.y=4^-x: This function does not represent exponential growth; instead, it represents exponential decay, as the value of the function decreases as x increases.y=5^x: This is a classic example of exponential growth, with the base 5 being raised to the power of x. As x increases, the function's value grows exponentially.y=(4/5)^x: Similar to the second function, this represents exponential decay, not growth, as the function's value diminishes as x increases.Therefore, the functions that represent exponential growth are y=(5/4)^x and y=5^x.
What is the answer to 6(4)
Answers
Car A and car B are traveling opposite directions st the same speed. Car A drove for 17 minutes and car B drove for 32 minutes. Car B drove 12 miles more than car A. How fast were the cars driving?
Answers
Answer:
48 mph
Step-by-step explanation:
Car B drove for 32 minutes. Car A drove for 17 minutes.
32 - 17 = 15
Car B drove for 15 minutes more than car A.
Car B drove 12 miles more than car A.
That means that in 15 minutes, car B drove 12 miles.
speed = distance/time
15 minutes * (1 hour)/(60 minutes) = 0.25 hour
speed = (12 miles)/(15 minutes)
speed = (12 miles)/(0.25 hour)
speed = 48 miles/hour
Answer: 48 mph
recently 5/8 of the items sold at Debbies Sporting Good were baseball caps. at Sasha Sports 7/10 of the items sold were baseball caps which store sold a greater fraction of baseball caps?
Answers
Answer:
7/10 is the larger fraction
Step-by-step explanation:
use cross multiplication
which fraction has the largest number above it.
8 x 7 = 56
5 x 10 = 50
you could also use a common denominator such as 40
5/8 = x/40
25/40
7/10 = x/40
28/40
28>25 so 7/10 is larger
4085 divided by 43 with work
Answers
Round the following numbers and estimate the product 52.84x28