simplify the above expression, then tell me what rule you used, (product rule, power rule, quotient rule.) then explain how you did the problem
Answers
Answer:
Step-by-step explanation:
You have to use the power rule for this. The way I teach my Algebra 1 students to do this is take everything inside the parenthesis and put it into its own set of parenthesis, and then raise each one to the outside power. One thing at a time makes it not so overwhelming. Like this:
[tex](4)^2(x^5)^2(y^3)^2[/tex]
Now follow the power rule. Multiply the power of each element in the parenthesis by the 2 outside.
[tex](4^1)^2=4^2=16[/tex], then [tex](x^5)^2=x^{10[/tex], and finally, [tex](y^3)^2=y^6[/tex].
Now put it all together to get:
[tex]16x^{10}y^6[/tex]
Related Questions
Burger Queen a popular fast food restaurant among college students has undertaken a study to determine the weights of the hamburgers served in its new location in San Marcos, TX. Half pounders should weigh at least 8 ounces. The weight is assumed to be normally distributed. A sample of 500 hamburgers reveals the average precooked weight to be 8.02 ounces, with a standard deviation of .4 ounce.
1. What is the probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces?
2. What is the probability that a hamburger selected at random with less than 7.52 ounces?
Answers
Answer:
1. 0.2422 = 24.22% probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces
2. 0.1056 = 10.56% probability that a hamburger selected at random with less than 7.52 ounces.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
A sample of 500 hamburgers reveals the average precooked weight to be 8.02 ounces, with a standard deviation of .4 ounce.
This means that [tex]\mu = 8.02, \sigma = 0.4[/tex]
1. What is the probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces?
This is the pvalue of Z when X = 8.02 subtracted by the pvalue of Z when X = 7.76. So
X = 8.02
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{8.02 - 8.02}{0.4}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
X = 7.76
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.76 - 8.02}{0.4}[/tex]
[tex]Z = -0.65[/tex]
[tex]Z = -0.65[/tex] has a pvalue of 0.2578
0.5 - 0.2578 = 0.2422
0.2422 = 24.22% probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces.
2. What is the probability that a hamburger selected at random with less than 7.52 ounces?
This is the pvalue of Z when X = 7.52. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.52 - 8.02}{0.4}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a pvalue of 0.1056
0.1056 = 10.56% probability that a hamburger selected at random with less than 7.52 ounces.
Give the opposite of the following
1. 8
2. - 79
3. 93
4. 65
5. -6
Answers
Answer:
1. -8
2. 79
3. -93
4. -65
5. 6
Step-by-step explanation:
I hope you were finding this type of answer.
Round up 64,781 to the nearest ten thousand
Answers
64,781
/\
|
60,000
---
hope it helps
Answer:
60,000
Step-by-step explanation:
Hope This Helps ; )
Plz Mark Brainliest
HELP ME PLEASE!!!!
I WILL GIVE BRAINLIST!!!!
Answers
Answer:
1/6
Step-by-step explanation:
There are 3 odd numbers on the die and 6 total numbers on the die so the answer is 3/6 and when you simplify it. It becomes 1/2
Work out the gradient of the line joining the points (2, 3) and (5,7)
Answers
Answer:
The gradient of the line joining the points [tex]P(x,y) = (2,3)[/tex] and [tex]Q(x,y) = (5,7)[/tex] is [tex]\frac{4}{3}[/tex].
Step-by-step explanation:
The gradient of the line joining two distinct point on a plane is represented by the slope of a secant line ([tex]m_{PQ}[/tex]), that is:
[tex]m_{PQ} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex] (1)
If we know that [tex]P(x,y) = (2,3)[/tex] and [tex]Q(x,y) = (5,7)[/tex], then the gradient of the line is:
[tex]m_{PQ} = \frac{7-3}{5-2}[/tex]
[tex]m_{PQ} = \frac{4}{3}[/tex]
The gradient of the line joining the points [tex]P(x,y) = (2,3)[/tex] and [tex]Q(x,y) = (5,7)[/tex] is [tex]\frac{4}{3}[/tex].
Malika bought 7 new pairs of shoes. Each pair of shoes cost the same amount and was discounted by $21.75.
Lauren paid a total of $654.50 before tax. How much was each pair of shoes before the discount?
A: $152.25
B: $93.50
C: $115.25
D: $71.75
Answers
Multiply the amount of the discount by pairs of shoes:
21.75 x 7 = 152.25
Add that to the total she spent:
152.25 + 654.50 = 806.75
Divide the total by pairs of shoes:
806.75/7 = $115.25
The answer is C. $115.25
HELPPP!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
try the last one on your own then check answer
please help:) i would appreciate it lol
Answers
Answer:
subtotal: $65.00
8% sales tax: $5.20
total: $70.20
Step-by-step explanation:
A culture of bacteria has an initial population of 790 bacteria and doubles every 4
hours. Using the formula P+ = Po.2, where P is the population after t hours, Po
is the initial population, t is the time in hours and d is the doubling time, what is the
population of bacteria in the culture after 11 hours, to the nearest whole number?
Answers
Answer:5314.4563≈5314
Step-by-step explanation:
Construct triangle ABC such that AB = 8cm, BC = 6.5 cm and angle ABC = 80 degree. Measure and write down the length of AC.
Answers
Answer:
AC = 9.39 cm
Step-by-step explanation:
sin 80 = m/8
m = 7.88
cos 80 = n/8
n = 1.39
p = 6.5 - 1.39 = 5.11
AC² = 7.88² + 5.11²
AC = 9.39 cm
176.625 rounded to the nearest tenth
Answers
Answer:
176.6
Step-by-step explanation:
Answer:
180 idrk
Step-by-step explanation:
The series converges by the Limit Comparison Test. Each term is less than that of a convergent geometric series. The series converges by the Limit Comparison Test. The limit of the ratio of its terms and a convergent p-series is greater than 0. The series diverges by the Limit Comparison Test. Each term is greater than that of the divergent p-series. The series diverges by the Limit Comparison Test. The limit of the ratio of its terms and the harmonic series is greater than 0.
Answers
Answer:
hello your question has some missing information attached below is the complete question
answer : The series diverges by the Limit Comparison Test. The limit of the ratio of its terms and the harmonic series is greater than 0.
Step-by-step explanation:
steps to determine if the series converges
step 1 : apply series limit comparison test
step 2 : consider Cauchy's convergence condition ; which states that ∑an converges if and only if for every ∈ > 0 there is a natural number N
attached below is the detailed solution
Graph the line with slope 6 and y intercept -3
Answers
Answer:
Step-by-step explanation:
Can someone
Please
Help me
Answers
Answer:
First let's calculate the area of the bottom part
diameter is 34 m
so the radius (r) is 1/2 * 34 m = 17 m
bottom part is 1/2 of a circle
circle surface area formula is πr²
so surface area of our bottom part is 1/2 * πr²
1/2 * πr² = 1/2 * 3,14 * 17² = 453,73
so it's 453,73 m²
Triangle part consists of 2 smaller rectangular triangles
surface area for rectangular triangle is 1/2 * a * h
in our case a = r = 17 m and h = 30m
so one smaller rectangular triangle is 1/2 * r * h = 1/2 * 17 * 30 = 255
so it's 255 m²
and because our entire triangle part consists of 2 smaller rectangular triangles it's area is 2 * 255 m² = 510 m²
Surface area of the entire figure is a sum of 510 m² and 453,73 m²
510 m² + 453,73 m² = 963,73 m²
Find the lettered angles.
Answers
Another friend's distance d from you (in feet) after t seconds is given by
d = |80 - 5t|. What does the 80 in the equation represent? What does the 5 in the equation represent? At what times is she 60 ft from you?
Answers
And the 5 is their speed
d=|80-5t|
60=|80-5t| |square both sides
60² = (80-5t)(80-5t)
3600 = 6400-400t-400t +25²
25t²-800t +6400 =3600
25t² -800t + 2800=0
5t² -160t +560=0
(ax²+bx+c=0)
(a=+5 b=-160 c=+560)
Sub into -b formula
x=(-b±√(b²-4ac))/(2a)
t= (-(-160)±√((-160)²-4(5)(560))/(2(5)) .
Should get t=4 seconds and t=28 seconds
sub both values back in to make sure
d=|80-5(4)|
d=|80-20|
d=60ft
d=|80-5(28)|
d=|80-140||
d=60ft
at a store a shirt has regular price of y dollars. During a sale, the price of the shirt by 40%. The expression 0.60y describes the discounted price, in dollars, of the shirt. Which expression also describes the discounted price, in dollars, of the shirt?
a) 0.4y
b) 7 - 0.4
c) y - 0.4y
d) y - 40
Answers
A bottle-filling process has a low specification limit of 1.8 liter and upper specification limit of 2.2 liter. The standard deviation is 0.15 liter, and the mean is 2 liter. The company now wants to reduce its defect probability as 0.0455. To what level would it have to reduce the standard deviation in the process to meet this target
Answers
Answer:
The standard deviation would have to be reduced to 0.1 in the process to meet this target
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The mean is 2 liter.
This means that [tex]\mu = 2[/tex]
The company now wants to reduce its defect probability as 0.0455.
This means that:
P(X < 1.8) = 0.0455/2 = 0.02275
P(X < 2.2) = 0.0455/2 = 0.02275
This means that the pvalue of Z when X = 1.8 is 0.02275. This means that when [tex]X = 1.8, Z = -2[/tex]. We use this to find the new standard deviation [tex]\sigma[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-2 = \frac{1.8 - 2}{\sigma}[/tex]
[tex]-2\sigma = -0.2[/tex]
[tex]\sigma = \frac{0.2}{2}[/tex]
[tex]\sigma = 0.1[/tex]
The standard deviation would have to be reduced to 0.1 in the process to meet this target
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house how tall does the ladder need to be?
Answers
Answer:
15 ft TRUST ME I LOVE MATH
Carl hits the target 50% pf the time he throws a ball at it. Carl uses a coin to simulate his next three pitches. The assigns H for a hit and T for a miss. The results of the 12 trials are shown below. Based on the results, what is the probability that cael will hit the next the Target with exactly two of his next three throws
Answers
Answer:
I have that same problem but im trying to figure out the answer
Step-by-step explanation:
Write and solve equation to answer the question 18 is 32% of what number W? And equation is equal 0.32 the solution is W equal
Answers
Answer:
W = 56.25
Step-by-step explanation:
Is is equivilent to equals.
Of is equivilent to multiplication.
18 = 0.32 x w
0.32 x W = 0.32w
18 ÷ 0.32 = 56.25
To check it,
56.25 x 0.32 = 18!!
I need help!!!! I’m stuck!!!
Answers
Answer:
66.3
Step-by-step explanation:
A cube is a special right rectangular prism with congruent sides. If a block of cheese is shaped like a cube with a length of 5 inches, find the volume of the block of cheese.
A) 25 cubic inches B) 100 cubic inches Eliminate C) 125 cubic inches D) 175 cubic inches
Answers
Answer:
125 cubic inches
Step-by-step explanation:
Hey There!
We can easily find the volume of a cube by cubing the side length
[tex]5^3\\5*5=25\\25*5=125[/tex]
so we can conclude that the volume of the block of cheese is 125 cubic inches
Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below certain established subsidy standards. A recent report notes that 60% of island residents of a country have reduced their electricity usage sufficiently to qualify for discounted rates. If five residential subscribers are randomly selected from a city on this island find the probability of each of the following events. (Round your answers to three decimal places.)
a. At least four qualify for the favorable rates.
b. All five quality for the favorable rates.
Answers
Answer: Many utility companies promote energy conservation by offering discount rates to ... who keep their energy usage below certain established subsidy standards. A recent EPA report notes that 70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.
Step-by-step explanation:
What expression is equivalent to 1/3x + 1/4 - 2/3x
Show work please
Answers
Answer:
1/12 * (-4x+3)
Step-by-step explanation:
1/3x + 1/4 - 2/3x
1/12 * (4x+3-8x)
1/12 * (-4x+3)
44) You and a friend are each driving a car in opposite directions. You both leave your house at the same time. If you are traveling at "a" miles an
hour and your friend is traveling at "b" miles an hours, make up a formula to show how far apart the two cars are after 5 hours. Let "Y" represent the
total distance. Refer to the given diagram for help in visualizing the problem and writing the complete formula. (Hint: d = rt)
d=?
d=?
Answers
Answer:
d=42
Step-by-step explanation:
provided
What is the value of 2 in the equation 60x = 360x
Answers
Out of a group of 30 volunteers, 17 people are chosen to participate in a survey about the number of phone calls they make each week. What is the sample in this situation?
Answers
Answer:
i dont know
Step-by-step explanation:
cool
Answer:
I know you properly don't need it anymore but other people might so here you go!
Step-by-step explanation:
When I think of a number and halve it, then
result is 7. Form an equation and solve it to fins
the number that I thought of.
Answers
Answer:
14
Step-by-step explanation:
7 × 2 = 14
the number you thought of was 14
:)
Prove that: cotθ - tanθ = 2cos²θ - 1/sinθcosθ
Need help, fast!
Answers
See attachment to get your answer. Thanks.