Which description is paired with its correct expression?
O two less than the quotient of a number cubed and four, increased by eight;
2-
O six times the difference of five and a number squared; 6(n² – 5)
7³
4
3+
O three more than the quotient of nine and a number cubed, decreased by two;
O twice the difference of a number squared and three; 2n²-3
+8
9
2
Answers
The correct pairing of description and expression is B. six times the difference of five and a number squared, 6(n² - 5)
How to find the correct pairing ?The correct pairing is six times the difference of five and a number squared because it accurately shows how the expression would look like at 6 (n² - 5)
.
The difference between five and a number squared would be shown as :
= n² - 5
Then when six multiplies this difference, the full thing becomes :
= 6 (n² - 5)
In conclusion, the correct answer is B.
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Related Questions
The third term of a geometric sequence is 396. The sixth term of the sequence is 85,536. Calculate the common ratio. Round the ratio to the nearest tenth if necessary. Be sure to show all your work. (4 points)
Once you've found the common ratio, find the first term of the sequence. Again, show your work.
Answers
a3 = a1 * r^2
Similarly, we can use the same formula to relate the sixth term (a6) to the first term and common ratio:
a6 = a1 * r^5
Given that a3 = 396 and a6 = 85,536, we can write two equations:
396 = a1 * r^2 85,536 = a1 * r^5
Let's divide the second equation by the first equation:
(85,536 / 396) = (a1 * r^5) / (a1 * r^2)
We can simplify to:
216 = r^3
Taking the cube root of both sides, we get:
r = 6
So the common ratio is 6
Now, we can use the equation we derived earlier, a3 = a1 * r^2, to solve for the first term:
396 = a1 * 6^2
Simplifying:
396 = 36a1
a1 = 11
So the first term is 11
If a coin is randomly chosen from a jar that contains exactly `4` pennies, 3 nickels, and 8 dimes, what is the probability that the coin will NOT be a penny or a nickel?
Answers
Answer:
53.33%
Step-by-step explanation:
There are a total of 4 + 3 + 8 = 15 coins in the jar. If we want to find the probability that the coin will not be a penny or a nickel, we need to find the number of coins that are not pennies or nickels, and divide that by the total number of coins in the jar.
The number of coins that are not pennies or nickels is 8 dimes. Therefore, the probability that the coin will not be a penny or a nickel is:
8 / 15
This simplifies to:
0.5333 or 53.33%
Therefore, the probability that the coin will NOT be a penny or a nickel is approximately 0.5333 or 53.33%.
a study of long-distance phone calls made from general electric corporate headquarters in fairfield, connecticut, revealed the length of the calls, in minutes, follows the normal probability distribution. the mean length of time per call was 4.0 minutes and the standard deviation was 0.40 minutes. a. what is the probability that calls last between 4.0 and 4.6 minutes? (round your z-value to 2 decimal places and final answer to 4 decimal places.)
Answers
The probability that calls last between 4.0 and 4.6 minutes is around 0.4332.
To unravel this issue, we got to standardize the values and utilize the standard typical dispersion table or calculator.
To begin with, we discover the z-scores for 4.0 and 4.6 minutes:
z1 = (4.0 - 4.0) / 0.40 =0
z2 = (4.6 - 4.0) / 0.40 = 1.5
Employing a standard ordinary conveyance table or calculator, we are able to discover the likelihood of the calls enduring between 4.0 and 4.6 minutes:
P(0 ≤ Z ≤ 1.5) = 0.4332
Subsequently, the likelihood that calls final between 4.0 and 4.6 minutes is 0.4332, or around 0.4332.
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Griffin is riding his bike down the street in Churchville, N.Y. at a constant speed, when a nail gets caught in one of his tires. The height of the nail above the ground, in inches, can be represented by the trigonometric function f(t)=-13cos(0.8pi(t))+13, where t represents the time (in seconds) since the nail first became caught in the tire. A) Determine the period of f(t). B) Interpret what the period represents in this context. C) On the grid below, graph at least one cycle of f(t) that includes the y-intercept of the function.
Answers
A) The value of period of f (t) is, 2.5 seconds
B) The period of the function represents the time it takes for the height of the nail above the ground to complete one full cycle.
C) The graph is shown in figure.
Now,
A) To find the period of the function f(t), we need to identify the coefficient of the variable "t" inside the cosine function.
Hence, In this case, the coefficient is 0.8pi.
So, The period of the function is given by the formula;
T = 2π / |0.8π|,
T = 2.5 seconds.
B) The period of the function represents the time it takes for the height of the nail above the ground to complete one full cycle.
This means that every 2.5 seconds, the nail will reach its maximum height of 13 inches, before descending to its minimum height of 0 inches, and then rising again to its maximum height.
C) Here is a graph of one cycle of the function f(t), including the y-intercept:
Hence, From the graph, the function starts at a height of 0 inches, reaches its maximum height of 13 inches at t = 1.25 seconds, descends back to a height of 0 inches at t = 2.5 seconds, and then rises again to its maximum height at t = 3.75 seconds.
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Which angles are adjacent? Select all that apply.
A. ∠AFB and ∠BFC
B. ∠AFB and ∠CFD
C. ∠BFC and ∠CFD
D. ∠BFC and ∠DFE
E. ∠CFD and ∠DFE
Answers
Answer:
It looks like the angle between C and D are the same as between D and E, so the correct answer would be:
E. ∠CFD and ∠DFE
Brainliest? ;)
It helps a lot!
Answer:
A, C, E.
Step-by-step explanation:
Hope it helps. :)
The area of a poster is 24 square feet. The perimeter is 20 feet. What are the dimensions of the poster?
Answers
Step-by-step explanation:
Perimeter = l + l + w + w = 20
2 l + 2w = 20
l + w = 10 ======> l = 10-w
Area = l * w = 24 sub in the definition of l (above)
24 = (10-w) * w
-w^2 + 10w - 24 = 0 Use quadratic formula (or factoring)
to find l and w = 4 and 6 ft
For what value of x must ABCD be a parallelogram?
X=
B
A
(17x+3)°
(19x-5)°
D
Answers
Answer:
Step-by-step explanation:
In a parallelogram, opposite angles are equal. So we can set the two opposite angles equal to each other and solve for x:
17x + 3 = 19x - 5
Simplifying the equation, we get:
-2x = -8
Dividing both sides by -2, we get:
x = 4
Therefore, for ABCD to be a parallelogram, x must be equal to 4.
From each corner of a square piece of sheet metal, remove a
square of side 6 centimeters. Turn up the edges to form an
open box. If the box is to hold 486 cubic centimeters,
determine the dimensions of the piece of sheet metal
Answers
The original piece of sheet metal was a square with side length 21 cm.
Let's denote the side length of the square piece of sheet metal as x. When we remove a square of side 6 cm from each corner, the length of each side of the remaining square becomes x-2(6) = x-12. Thus, the base of the box has dimensions (x-12) by (x-12) and the height of the box is 6 cm.
The volume of the box is given by
Volume = Base area x height
Volume = (x-12)² × 6
We are given that the volume is 486 cubic centimeters, so we can set up the equation
486 = (x-12)² × 6
Simplifying and solving for x, we get
81 = (x-12)²
9 = x-12
x = 21 cm
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Write the equation of the circle in general form.
Answers
Answer:
[tex] {(x - 1)}^{2} + {y}^{2} = {5}^{2} [/tex]
[tex] {(x - 1)}^{2} + {y}^{2} = 25[/tex]
At the end of a baseball game, the players were given the choice of having a bottle of
water or a box of juice. Of all of the players, 12 chose a bottle of water, which was
3
q of the total number of players. Write and solve an equation to determine p.
the total number of players at the baseball game.
Show your work.
Help me please
Answers
Answer:
Rather than doing the easy way do it the common way
ASAP PLEASE HELP WILL GIVE BRAINLEST!!
Recall the equation for a circle with center (h, k) and radius . At what point in the first quadrant does the line with equation u = 0.5x + 4 intersect the circle with radius 3 and center (0, 4)
Answers
Answer:
(x-h)2 +(y-k)2=r2
Step-by-step explanation:
If the circle has a centre at (0, 5) and radius 3 the above equation becomes:
x2 +(y-5)2=32
We want to know the point where this circle intersects the line y=x+5 in the first quadrant. In order to do that, we substitute y=x+5 into the equation for the circle or:
x2 +(x+5-5)2=32
x2 +x2 =9
2x2 =9
x = 3 sqrt(2)/2 =2.1213
Substituting to this value into the second equation for y, we find:
y = 2.1213 + 5 = 7.1213
Consequently, the line intersects the circle at (2.1213, 7.1213)
Hope this helps :)
Jiro has a right rectangular prism. Jiro is filling the prism with unit cubes. Each unit cube has a side length of
inch.
2 in
3/4
1¹ in
In the response box, enter the number of unit cubes Jiro will need to completely fill the prism.
Answers
Answer:
To find the volume of a rectangular prism, we multiply the length of the prism by the width of the prism by the height of the prism.
\text{Volume of rectangular prism}=Volume of rectangular prism=start text, V, o, l, u, m, e, space, o, f, space, r, e, c, t, a, n, g, u, l, a, r, space, p, r, i, s, m, end text, equals \text{length}\times\text{width}\times\text{height}length×width×heightstart text, l, e, n, g, t, h, end text, times, start text, w, i, d, t, h, end text, times, start text, h, e, i, g, h, t, end text
Want to learn more about finding volume of rectangular prisms?
Volume=length×width×heightstart text, V, o, l, u, m, e, end text, equals, start text, l, e, n, g, t, h, end text, times, start text, w, i, d, t, h, end text, times, start text, h, e, i, g, h, t, end text
\phantom{\text{Volume}}=3\times2\times3Volume=3×2×3empty space, equals, 3, times, 2, times, 3
\phantom{\text{Volume}}=18\text{ cubic units}Volume=18 cubic units
If the height of a rectangular prism is not given, divide the prism's volume by it's width and also divide it by it's length in order to find the height of the prism. For example:
Volume=30
Length=5
Width=3
Height=?
30/5=6, 6/3=2 so 2 equals your height.
Hope that helps.
A travel agent offers to convert any US dollars left over
after a holiday at one of two exchange rates, as shown
below.
Customers must choose which exchange rate they want
to convert any leftover money with before going on
holiday.
a) Roger chose to use the premium rate. He returned
from his holiday with $130. How many pounds did he
receive?
b) How much less, in pounds, would Roger have received
if he had chosen the standard exchange rate?
c) Work out how many dollars Roger would have had to
return with to receive the same amount, in pounds,
regardless of which exchange rate he chose.
Standard rate
$1.00 £0.71
Premium rate
$1.00 £0.75
£3.20 charge, deducted
from amount received
Answers
Roger received £97.50. after converting $130 at the premium rate. If Roger had chosen the standard rate, he would have received £5.20 less than what he received with the premium rate. To receive the same amount in pounds regardless of the exchange rate, Roger would need to return with $173.33.
Using the premium rate, Roger would receive $130 x £0.75 = £97.50.
If Roger had chosen the standard rate, he would have received $130 x £0.71 = £92.30. Therefore, he would have received £97.50 - £92.30 = £5.20 less if he had chosen the standard rate.
Let x be the number of dollars Roger would need to return to receive the same amount in pounds, regardless of the exchange rate he chose.
Using the premium rate, he received £97.50 - £3.20 (charge) = £94.30.
Using the standard rate, he would have received x x £0.71 - £3.20 (charge) = £94.30.
Simplifying the equation, we get
x x £0.71 = £97.50
x = £97.50 / £0.71
x ≈ $137.32
Therefore, Roger would need to return $137.32 to receive the same amount, in pounds, regardless of which exchange rate he chose.
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In a bag there are blue discs, green discs and white discs.
There are eight times as many blue discs as green discs.
number of blue discs : number of white discs = 6:5
One disc is selected at random.
Work out the probability that the disc is either blue or white.
Answers
The probability that the disc is either blue or white is 11/59
Working out the probability that the disc is either blue or white.Given that
number of blue discs : number of white discs = 6:5
number of blue discs : number of green discs = 1:8
So, we have
Blue : White = 6 : 5
Blue : Green = 1 : 8
This can be expressed as
Blue : Green = 6 : 48
So, we have
Blue : White : Green = 6 : 5 : 48
So, we have
Blue or White : Green = 11 : 48
So, the probability is
P = 11/(48 + 11)
Evaluate
P = 11/59
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identify the most appropriate test to use for the following situation: quart cartons of milk should contain at least 32 ounces. a sample of 22 cartons was taken and amount of milk in ounces was recorded. we would like to determine if there is sufficient evidence exist to conclude the mean amount of milk in cartons is less than 32 ounces? a) two sample t test b) one sample t test c) matched pairs d) two sample p test
Answers
If there is sufficient evidence exist to conclude the mean amount of milk in cartons is less than 32 ounces, then we have to use one sample t test (option b).
In this case, we have a sample of 22 cartons and we want to determine if the mean amount of milk in the cartons is less than 32 ounces. Since we are only dealing with one sample and comparing its mean to a known population mean of 32 ounces, we can use a one sample t test. This test will help us determine if the sample mean is significantly different from 32 ounces.
To perform a one sample t test, we need to calculate the sample mean and sample standard deviation of the amount of milk in the 22 quart cartons. We can then use these values, along with the known population mean of 32 ounces, to calculate the t statistic. This t statistic will tell us how many standard errors the sample mean is away from the hypothesized population mean of 32 ounces.
We can then calculate the p-value, which is the probability of getting a t statistic as extreme as the one we calculated, assuming the null hypothesis is true.
If the p-value is less than our chosen significance level (usually 0.05), we reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis that the mean amount of milk in the cartons is less than 32 ounces.
Hence the correct option s (b).
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Amanda is building a soft triangular kennel for her dog. She has four wooden planks of lengths 1 foot, 3 feet, 5 feet, and 6 feet. Determine which planks Amanda should use to build the triangular-shaped kennel. Enter the lengths from least to greatest.
Answers
Answer:
3 feet5 feet6 feetStep-by-step explanation:
Given lengths (in feet) of 1, 3, 5, 6, you want to know which three of them will form a triangle.
Triangle inequalityThe differences between adjacent lengths are 3-1 = 2, 5-3 = 2, 6-5 = 1. The shortest side must be longer than the difference in lengths between the other two sides. Hence the 1 foot plank cannot be used. (It is not longer than either 1 or 2 feet.)
The remaining three planks satisfy the triangle inequality:
3 + 5 > 6
3 + 6 > 5
5 + 6 > 3
Amanda should use the planks that are 3 feet, 5 feet, and 6 feet long.
The equation y=16x represents the relationship between x the number of pounds and y the number of ounces, which order pairs represent the number of pounds and the number of ounces in the given equation? choose all that apply.
Answers
Any ordered pair of the form (x, 16x) would represent a weight in pounds and its equivalent weight in ounces according to the given equation
The given equation y = 16x represents the relationship between x, the number of pounds, and y, the number of ounces. In other words, for a given weight in pounds, we can calculate the corresponding weight in ounces using the equation y = 16x.
To find the ordered pairs that represent the number of pounds and the number of ounces, we can plug in different values of x and solve for y.
For example, if x = 1, then y = 16(1) = 16. This means that 1 pound is equivalent to 16 ounces. Therefore, one ordered pair that represents the number of pounds and the number of ounces is (1, 16).
Similarly, if x = 2, then y = 16(2) = 32. This means that 2 pounds is equivalent to 32 ounces. Therefore, another ordered pair that represents the number of pounds and the number of ounces is (2, 32).
We can continue this process for different values of x to get more ordered pairs that represent the relationship between the number of pounds and the number of ounces.
In general, any ordered pair of the form (x, 16x) would represent a weight in pounds and its equivalent weight in ounces according to the given equation.
Therefore, all ordered pairs of this form would be valid solutions. For example, (3, 48), (4, 64), and (5, 80) are all ordered pairs that represent the relationship between pounds and ounces in the given equation.
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Complete question is:
The equation y=16x represents the relationship between x the number of pounds and y the number of ounces, which order pairs expression represent the number of pounds and the number of ounces in the given equation?
a sample of 900 computer chips revealed that 34% of the chips fail in the first 1000 hours of their use. the company's promotional literature claimed that less than 38% fail in the first 1000 hours of their use. is there sufficient evidence at the 0.05 level to support the company's claim? state the null and alternative hypotheses for the above scenario.
Answers
There is sufficient evidence at the 0.05 level to support the company's claim that less than 38% of computer chips fail in the first 1000 hours of their use, based on a one-tailed z-test for proportions with a test statistic of -3.17.
Null Hypothesis (H0): The proportion of computer chips failing in the first 1000 hours of use is greater than or equal to 0.38.
Alternative Hypothesis (Ha): The proportion of computer chips failing in the first 1000 hours of use is less than 0.38.
The level of significance is 0.05.
To test the hypothesis, we can use a one-tailed z-test for proportions.
The test statistic can be calculated as
z = (p - P) / sqrt((P×(1-P))/n)
where,
p = sample proportion = 0.34
P = hypothesized proportion = 0.38
n = sample size = 900
Substituting the values, we get
z = (0.34 - 0.38) / sqrt((0.38×(1-0.38))/900) = -3.17
At a significance level of 0.05, the critical value of z is -1.645 (for a one-tailed test).
Since the calculated test statistic (-3.17) is less than the critical value (-1.645), we can reject the null hypothesis.
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How do you find the P when looking for the total surface area?
Answers
Answer:
0
Step-by-step explanation:
Amari is playing a game with a standard deck of cards. Amari selects one card and then replaces it in the deck.
Part A: What is the theoretical probability that Amari draws a red card? (5 points)
Part B: What is the P(first draw is a club ∩ second draw is a club)? (5 points)
Part C: What is the probability of drawing a spade given that the card drawn is black? (5 points)
Part D: Consider the events "The card drawn is a spade" and "The card drawn is black." Are these events independent? Justify your answer mathematically. (5 points)
Answers
A) The theoretical probability of drawing a red card is 1/2.
B) The theoretical probability of the intersection of the events "The first draw is a club" and "The second draw is a club" is 13/208
C) The theoretical probability of drawing a spade given that the card drawn is black is 1/2
D) The events "The card drawn is a spade" and "The card drawn is black" are not independent.
A) The theoretical probability of drawing a red card is:
P(Red card) = Number of red cards / Total number of cards
= 26/52
= 1/2
B) The probability of drawing a club on the first draw and a club on the second draw is the product of the probabilities of each event:
P(First draw is a club ∩ Second draw is a club) = P(First draw is a club) * P(Second draw is a club)
= (13/52) * (13/52)
= 169/2704
= 13/208
C) The probability of drawing a spade given that the card drawn is black is:
P(Spade | Black card) = P(Spade ∩ Black card) / P(Black card)
= 26/52
= 1/2
D) To determine if the events "The card drawn is a spade" and "The card drawn is black" are independent, we need to check if the probability of drawing a spade is affected by the knowledge that the card drawn is black. From Part C, we know that:
P(Spade | Black card) = 1/2
The probability of drawing a spade without any additional information is:
13/52 = 1/4.
Since P(Spade | Black card) ≠ P(Spade), the events are dependent, and not independent.
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A counter in Darren's kitchen is 1 meter wide and 2 meters long. Darren wants to replace the counter with a granite countertop, which would cost $240.00 per square meter. How much would the granite countertop cost?
Answers
Answer:
$480.00
Step-by-step explanation:
The area of the counter is:
1 meter * 2 meters = 2 square meters
To calculate the cost of the granite countertop, we need to multiply the area of the counter by the cost per square meter:
2 square meters * $240.00/square meter = $480.00
Therefore, the granite countertop would cost $480.00.
If your p-value is .11, and the significance level is .05, what do you conclude?
Answers
If your p-value is 0.11 and the significance level is 0.05, you would conclude that there is insufficient evidence to reject the null hypothesis. In other words, you cannot establish a statistically significant relationship between the variables you are studying.
To explain this further, the p-value (0.11) represents the probability of observing the data, assuming that the null hypothesis is true. A smaller p-value indicates stronger evidence against the null hypothesis. The significance level (0.05) serves as a threshold to determine whether the p-value is small enough to reject the null hypothesis.
If the p-value is less than or equal to the significance level, you would reject the null hypothesis and conclude that there is a statistically significant relationship between the variables. However, in this case, the p-value (0.11) is greater than the significance level (0.05), which means that the probability of observing the data is not low enough to reject the null hypothesis.
Therefore, you cannot establish a statistically significant relationship between the variables, and the observed results could be due to chance or random variation.
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what is 59 multiple by 95
Answers
5,605
Answer:
5605
Step-by-step explanation:
59*95
we can think 95 as 90+5
so we get :
59*(90+5)
5310+295
5605
Oh man snow traveling at the speed of 40 feet in one hour what was its speed in centimeters per minute
Answers
The speed of snow traveling at 40 feet per hour is equivalent to 20.41 centimeters per minute.
To convert the speed of snow from feet per hour to centimeters per minute, we need to use the appropriate conversion factors.
We convert 40 feet per hour to feet per minute by dividing it by 60, since there are 60 minutes in an hour. 40 feet per hour / 60 = 0.67 feet per minute
We convert feet to centimeters by multiplying by the conversion factor of 30.48, since there are 30.48 centimeters in a foot. 0.67 feet per minute * 30.48 = 20.41 centimeters per minute.
It's important to pay attention to units when making conversions, as it can significantly affect the accuracy of calculations. In this case, we made sure to use the appropriate conversion factors to convert between feet per hour and centimeters per minute.
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What is the mode of the data represented by the stem and
leaf plot above?
Hint: Use the key to determine the individual values
MODE = value appearing the most times
A 309
B 57
C 108.75
Answers
From the given stem and leaf plot, the mode of the given data is 57.
A stem and leaf plot also called a stem and leaf diagram is a way of organizing data into a form that makes it easy to observe the frequency of different types of values.
We know that, mode is value appearing the most times.
From the given graph, we can 57 is repeated thrice.
Therefore, option B is the correct answer.
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a study has been done to determine whether or not a certain drug leads to improvement in symptoms for patients with a particular condition. the results are shown in the table. based on this information, what is the probability that a patient shows improvement if it is known that the patient was given the drug? p(improvement | drug)
Answers
The probability that a patient shows improvement if it is known that the patient was given the drug is 0.7 or 70%.
Based on the information given in the table, the probability that a patient shows improvement if it is known that the patient was given the drug can be calculated as:
p(improvement | drug) = number of patients who improved and were given the drug / total number of patients who were given the drug
= 56 / (56 + 24)
= 0.7
Therefore, the probability that a patient shows improvement if it is known that the patient was given the drug is 0.7 or 70%. This suggests that the drug has a relatively high chance of leading to improvement in symptoms for patients with the particular condition being studied.
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Complete Question:
a study has been done to determine whether or not a certain drug leads to improvement in symptoms for patients with a particular condition. the results are shown in the table. based on this information, what is the probability that a patient shows improvement if it is known that the patient was given the drug? p(improvement | drug)
the annual salaries of employees in a large company are normally distributed with a mean of $50,000 and a standard deviation of $20,000. what percent, or what is the probability, of people earning between $45,000 and $65,000?
Answers
The probability of people earning between $45,000 and $65,000 in this large company is approximately 29.46%.
We need to use the standard normal distribution formula, where we standardize the original distribution with mean and standard deviation to a standard normal distribution with mean 0 and standard deviation 1. We can then use a Z-table to find the probability.
First, we calculate the Z-scores for the lower and upper limits of the range of interest:
Z1 = (45,000 - 50,000) / 20,000 = -0.25
Z2 = (65,000 - 50,000) / 20,000 = 0.75
We can then look up the probabilities associated with these Z-scores in a standard normal distribution table. From the table, we find that the probability of a Z-score between -0.25 and 0.75 is 0.2946. To convert this back to the original units, we need to multiply the probability by 100 to get a percentage:0.2946 x 100 = 29.46%.
The normal distribution is a continuous probability distribution, so the probability of exact values is zero. We are calculating the probability of a range of values.
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I need a paragraph describing how to get the answer (using the 5 skeleton sentences)
Answers
The graph of the triangle after the dilation is given by the image presented at the end of the answer.
What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
The vertices of the original triangle after given as follows:
F(1,1), G(3,1) and H(3,2).
The scale factor is given as follows:
k = 3.
Hence the vertices of the dilated figure are given as follows:
F'(3,3), G'(9,3) and H'(9,6).
When a figure is reflected over the x-axis, the sign of the y-coordinate is changed, hence the vertices of the reflected figure are given as follows:
F''(3,-3), G''(9,-3) and H''(9,-6).
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Solve this equation pls
Answers
[tex]\cfrac{5}{x+2}+\cfrac{1}{2}=3\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2(x+2)}}{2(x+2)\left( \cfrac{5}{x+2}+\cfrac{1}{2} \right)=2(x+2)(3)} \\\\\\ 10+(x+2)=6x+12\implies x+12=6x+12 \\\\\\ x=6x\implies 0=5x\implies \cfrac{0}{5}=x\implies \boxed{0=x}[/tex]
Rational exponents write final answer is radical form
Answers
In radical form, the rational exponent can be written as [tex]m ^\frac{32}{3}[/tex]
Given rational exponent function is [tex]3^\frac{5}{4}[/tex]
Rational exponents are fractional exponents with power as the numerator and a root as the denominator.
We can write the Rational exponent function into radical form as follow
To write a rational exponent in radical form, keep in mind that it represents a power that can be written as a fraction, with the numerator being the power to which the base is raised and the denominator being the root to which the base is taken.
[tex]3^\frac{5}{4}[/tex] = [tex]3^{5\times\frac{1}{4}[/tex]
= [tex](3^5)^\frac{1}{4}[/tex]
= [tex]\sqrt[4]{3^5}[/tex]
Therefore, in radical form, the rational exponent can be written as [tex]\sqrt[4]{3^5}[/tex]
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Given question is incomplete, the complete question is given below
Rational exponents write the final answer in radical form
[tex]3^\frac{5}{4}[/tex]
