Answer:
9\(\frac{3}{8} \)
Step-by-step explanation:
Help!! I spent hours trying to figure this out!! Answer was incorrect. And it has to be written in equation or fraction format. No decimals.
Here’s my work:
Using a substitution
u = 4 * x^(-2)
du = -8 * x^(-3) * dx
(-1/8) * du = x^(-3) * dx
Now I have:
e^(4x^(-2)) * dx / x^3 =>
e^(u) * (-1/8) * du
Integrate
(-1/8) * e^(u) + C =>
(-1/8) * e^(4x^(-2)) + C
From 4 to 6
(-1/8) * e^(4 * 6^(-2)) + (1/8) * e^(4 * 4^(-2)) =>
(1/8) * (e^(4/16) - e^(4/36)) =>
(1/8) * (e^(1/4) - e^(1/9))
Answer:
its correct my friend gg i ttok half an hour to do it
Step-by-step explanation:
I can’t process this through images on this app so I have no idea. Can someone please help. I’ll give brainliest.
Answer:
The 3rd answer
Step-by-step explanation:
Step 1: Rewrite the square root
(8^1/3)^x
Step 2: Multiply exponents
8^(x/3)
Remember when exponenting an exponent, you multiply the 2 exponents together.
Answer: The third choice, 8^(x/3)
Step-by-step explanation:
If you were to right the cube root of 8 in fractional exponent form, it would be 8^(1/3).
Now, we have (8)^1/3*x
Then we multiply 1/3 with x to get:
8^(x/3)
Hope this helps
IN ONE REGION 40% OF ALL RESIDENTIAL TELEPHONE NUMBERS ARE UNLISTED. IF 5 RESIDENTIAL HOUSING UNITS ARE RANDOMLY SELECTED FIND THE PROBABILITY THAT ALL OF THEM HAVE UNLISTED NUMBERS
Given:
Percentage of numbers unlisted = 40% = 0.40
Sample size, n = 5
Let's find the probability that all 5 of the selected houses have unlisted numbers.
To find the probability, we have:
p(numbers unlisted) = 0.40
Hence, we have:
q = 1 - p = 1 - 0.40 = 0.60
For the probability, apply the binomial probability:
0 .
\(P(x=5)=(^5C_5)(0.40)^5(0.60)^{5-5}\)Solving further:
\(\begin{gathered} P(x=5)=(\frac{5!}{5!(5-5)!})(0.01024)(0.60)^0 \\ \\ P(x=5)=(\frac{5!}{5!(0)!})(0.01024)(1) \\ \\ p(x=5)=1*0.01024*1 \\ \\ p(x=5)=0.01024 \end{gathered}\)Therefore, the probability that all 5 numbers have unlisted numbers is 0.01024
• ANSWER:
0.01024
oblem: Salvador purchased 6 hamburgers for $20.94. If each hamburger costs the same amount, what was the cost for each hamburger?
Answer:
Each hamburger costs 3.49
Step-by-step explanation:
Take the total cost and divide by the number of hamburgers
20.94/6 =3.49
Each hamburger costs 3.49
PLSSSS IF YOU TURLY KNOW THISSS
For given linear equation x will be 5.
What is a linear equation ?
A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form
Ax + B = 0
e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.
The standard form of a linear equation in two variables is of the form
Ax + By = C
e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.
Now,
As given linear equation is
15-x=10
x=15-10
x=5
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7. A mechanical device is used to launch a potato vertically into the air. The potato is launched from a platform 20 feet above the ground, with an
initial vertical velocity of 92 feet per second. The function h(t) is shown
below. Which of the following statement is TRUE? Select ALL that apply.
1. The potato was launched from the ground.
2. The flight is symmetric about the line t = 2.
3. The potato reaches a maximum height of about 3 ft
4. The potato is in the air during the interval 0
5. The potato reaches its maximum height after about 3 seconds in flight.
6. h(2)=h(5)
Answer:
See below
Step-by-step explanation:
Answer choices:
1. The potato was launched from the ground.
False. 20 feet above the ground2. The flight is symmetric about the line t = 2.
False. Line of symmetry is t=33. The potato reaches a maximum height of about 3 ft
False. Maximum height is about 150 ft4. The potato is in the air during the interval 0
Unclear. no interval given5. The potato reaches its maximum height after about 3 seconds in flight.
True6. h(2)=h(5)
False. h(2) = 140 ft, h(5) = 80 ftClare has 60% of her goal of $80 saved for her trip. How much did she save so far?
Johnny receives a weekly allowance of $7. He wants to save up for a skateboard that costs $50. Write an inequality that calculates the number of weeks Johnny needs to save in order to purchase the skateboard. Use x for your variable.
Answer:
7× greater than or equal to 50
Step-by-step explanation:
it won't let me put the sign but I think that the correct answer
How many sides does a rectangular pyramid
Answer:
Step-by-step explanation:
A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.
≧◉◡◉≦
Shelley's kitten weights 2 1/3 times as much as she did last year. She now weighs 21 ounces. What did the kitten weight a year ago?
Answer:
weight of the kitten last year = 9 ounces
Step-by-step explanation:
Let
x = weight of the kitten last year
Weight of the kitten this year = 2 1/3 * x = 21
7/3*x = 21
7/3x = 21
x = 21 ÷ 7/3
x = 21 × 3/7
= 63/7
x = 9 ounces
weight of the kitten last year = 9 ounces
Erin has one coin and Jack has one coin.
The total amount of their two coins is less than 50p.
Assuming that each outcome is equally likely, work
out the probability that exactly one of the coins is a
10p piece.
Give your answer as a fraction in its simplest form.
The probability that exactly one of the coins is a 10p piece is 1/2.
What is the probability that exactly one of the coin is a 10p piece?To find the probability that exactly one of the coins is a 10p piece, we can consider the possible outcomes.
There are two coins, and each coin can be either a 10p piece or a non-10p piece. Let's consider the four possible outcomes:
1. Erin's coin is a 10p piece, and Jack's coin is a non-10p piece.
2. Erin's coin is a non-10p piece, and Jack's coin is a 10p piece.
3. Both Erin's and Jack's coins are 10p pieces.
4. Both Erin's and Jack's coins are non-10p pieces.
Since the total amount of the two coins is less than 50p, we can eliminate the third possibility (both coins being 10p pieces).
Now, let's calculate the probability for each of the remaining possibilities:
1. Erin's coin is a 10p piece, and Jack's coin is a non-10p piece:
The probability of Erin having a 10p piece is 1/2, and the probability of Jack having a non-10p piece is also 1/2. Therefore, the probability of this outcome is (1/2) * (1/2) = 1/4.
2. Erin's coin is a non-10p piece, and Jack's coin is a 10p piece:
This is the same as the previous case, so the probability is also 1/4.
3. Both Erin's and Jack's coins are non-10p pieces:
The probability of Erin having a non-10p piece is 1/2, and the probability of Jack having a non-10p piece is also 1/2. Therefore, the probability of this outcome is (1/2) * (1/2) = 1/4.
Now, we sum up the probabilities of the two cases where exactly one of the coins is a 10p piece:
1/4 + 1/4 = 2/4 = 1/2.
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why did the girl wear glasses during math class
Answer:
Because she found it improves division.
Step-by-step explanation:
One year, the mean age of an inmate on death row was 38.8 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 37.5, with a standard deviation of 9.2. Construct a 95% confidence interval about the mean age. What does the interval imply
The confidence interval about the given mean age is (40.7, 34.3). Since the given mean age of 38.8 years is in the obtained interval, there is no sufficient evidence to conclude that the mean age had changed.
What is the formula for calculating the confidence interval?The formula for the confidence interval is
C.I = \(\bar x\) ± z(σ/√n)
Where \(\bar x\) - sample mean; z or z(α/2) - test value; σ - standard deviation of the sample; n - sample size;
Calculation:Consider the hypothesis,
null hypothesis H0: μ = 38.8
alternate hypothesis Ha: μ ≠ 38.8
It is given that,
sample size n = 32
sample mean \(\bar x\) = 37.5
standard deviation σ = 9.2
Constructing a 95% confidence interval about the mean age:
a) Finding the significance level:
= 1 - (95/100)
= 1 - 0.95
∴ α = 0.05
b) Finding the z-value for the obtained significance level:
z(α/2) = z(0.05/2)
∴ z = 1.96 (From the distribution table)
c) Calculating the lower and upper bounds:
C.I = \(\bar x\) ± z(σ/√n)
On substituting,
C.I = 37.5 ± (1.96)(9.2/√32)
⇒ 37.5 ± (1.96)(1.626)
⇒ 37.5 ± 3.186(≅3.2)
Upper bound = 37.5 + 3.2 = 40.7
Lower bound = 37.5 - 3.2 = 34.3
Thus, the interval is from 34.3 years to 40.7 years.
Hence the given mean age of 38.8 is included in the interval, the evidence is insufficient to conclude that there is a change in the mean age.
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Which number does point A represent?
А
-3
-2
to
2
Loi
0 -3.5
3
y-2.5
0 2.5
03.5
Answer:
A represents -2.5.......
Answer:
-2.5
Step-by-step explanation:
<------3, -2.5, -2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2, 2.5, 3 ---->
When it's negative on the number line the value of a number gets smaller. When it's positive the value gets bigger.
I hope this helps!
Write 72,658 in expanded form using
exponents to write powers of 10.
ayo how do answer these
Step-by-step explanation:
7 x 10^4
+ 2 x 10^3
+ 6 × 10^2
+ 5 × 10^1
+ 8 X 10^0
A number cube is tossed 60 times Outcome Frequency 1. 12 2. 13 3. 11 4. 6 5. 10 6. 8 Determine the experimental probability of landing on a number greater then 4 17/60 18/60 24/60 42/60
For the given tossing of number cube and its frequency outcome, the probability on landing a number greater than 4 is 18/60.
As given in the question
Total number of tossing a number cube = 60
Number of times greater than 4 comes up = 10 + 8 (frequency of is 10 and frequency of 6 is 8)
⇒Number of times greater than 4 comes up = 18
Probability of getting number greater than 4
= (frequency of getting 5 and 6) / (total number of trials)
⇒ probability of getting number greater than 4 = 18 / 60
Therefore, for the given tossing of number cube and its frequency outcome, the probability on landing a number greater than 4 is 18/60.
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18/60..............................................................
1
Next, choose the expression that is equivalent to = x 12.
4
4 ÷ 12
12 ÷ 1
124
12 ÷ 12
The expression which is equivalent to 12 is 12 ÷ 1.
The correct answer choice is option B
Which expression is equivalent?check all that applies:
4 ÷ 12 = 0.34
12 ÷ 1 = 12
124 ÷ 4 = 31
12 ÷ 12 = 1
In conclusion, 12 ÷ 1 is the equivalent expression to 12
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Ms. Perea's kitchen floor is a rectangle with the dimensions shown here. Height= 12.5 ft and With= 22.5 ft. Ms. Perea wants to cover the floor with rectangular tiles that measure 1.5 feet by 0.8 feet. Which equation can be used to find t, the number of tiles she will need to cover the kitchen floor?
For the rectangular floor, Ms. Perea will need 235 tiles to cover her kitchen floor.
What exactly is a rectangle?
A rectangle is a four-sided polygon with four right angles (90-degree angles). It has opposite sides that are equal in length and parallel to each other. The rectangle is a special case of a parallelogram, where the opposite sides are also parallel. The two sides that are equal in length are called the "width" or "short side", while the other two sides are called the "length" or "long side". The area of a rectangle is found by multiplying its length by its width, while its perimeter is found by adding the lengths of all four sides.
Now,
To find the number of tiles Ms. Perea will need to cover the kitchen floor, we can divide the total area of the floor by the area of each tile.
The area of the kitchen floor is given by:
Area = Height x Width = 12.5 ft x 22.5 ft = 281.25 sq ft
The area of each tile is given by:
Area of tile = Length of tile x Width of tile = 1.5 ft x 0.8 ft = 1.2 sq ft
To find the number of tiles required, we can divide the area of the kitchen floor by the area of each tile:
t = Area / Area of tile
Substituting the values, we get:
t = 281.25 sq ft / 1.2 sq ft ≈ 234.375
Since we cannot have a fractional number of tiles, we need to round up to the nearest whole number. Therefore, Ms. Perea will need 235 tiles to cover her kitchen floor.
The equation that can be used to find the number of tiles she will need is:
t = (Height x Width) / (Length of tile x Width of tile)
or
t = (12.5 ft x 22.5 ft) / (1.5 ft x 0.8 ft)
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pls help due today
I will give brainliest
Answer:
I think its a) I only
Step-by-step explanation:
b gives a random value that isn't relevant to the question. C is backwards because F would increase more than C.
A company needs to take 330 sample sensor readings. If the sensor collects data at 5
samples per second, how long will it take the company to take all 330 samples?
Answer:
1 minute and 6 seconds or 66 seconds
Step-by-step explanation:
Hope it helps :)
Brainliest pls?
Have a good day/night
Answer:
66
Step-by-step explanation:
The company wants to know how long it will take to get all the samples. So If the sensor collects data at 5, Then you will need to divide 330 by 5. Make any sense
Question 70 Approximately 38 percent of people living in on Whave the blood type o positive. A random sample of 100 people from region veled people in the samed the Contra Hypothesis test to vestigate whether the percent of people in thegion with positive blood is different from that of tegen wWwth of the following is the property for the H-0.35 He0.35 с Hep -0.35 D Hp 0.35 H: 0.38
Answer: The null hypothesis (H0) is the statement that there is no significant difference between the proportion of people in the region with the O positive blood type (p) and the population proportion (p0) of 0.38.
The null hypothesis is usually denoted as:
H0: p = p0
In this case, p0 is given as 0.38, so the correct answer is:
H0: p = 0.38
Step-by-step explanation:
Can someone plz help me with this one problem plzzzzz!!!!
(I’m marking brainliest)!!!!
Answer:
Points; (0,4), (2,5), (4,6),(6,7), (8,8) & (10,9)
Step-by-step explanation:
Please please help please ASAP
Answer:
VT = 50√3 , PT = 50
Step-by-step explanation:
Given
PV = 100
With reference angle 60°
hypotenuse (h) = 100
perpendicular (p) = ?
Now
Sin 60° = p/h
√3 / 2 = p / 100
p = √3 * 100 / 2
p = 50√3
Also
With reference angle 30°
hypotenuse (h) = 100
perpendicular (p) = ?
sin 30° = p/h
1/2 = p / 100
p = 100 / 2
p = 50
Hope it will help :)
GIVING 50 POINTS
Find the missing length indicated. Pls show your work
\(\\ \sf\longmapsto \dfrac{20}{3x-18}=\dfrac{15}{9}\)
\(\\ \sf\longmapsto 300=15(3x-18)\)
\(\\ \sf\longmapsto 300=45x-270\)
\(\\ \sf\longmapsto 45x=570\)
\(\\ \sf\longmapsto x\approx 13\)
Answer:
• from scale factors, big triangle : small triangle
\(\dashrightarrow \: { \tt{ \frac{24}{(24 - 9)} = \frac{(3x - 18) + 20}{20} }} \\ \\\dashrightarrow \: { \tt{20 \times 24 = (3x + 2) \times 15}} \\ \\ \dashrightarrow \: { \tt{480 = 45x + 30}} \\ \\ \dashrightarrow \: { \tt{45x = 450}} \\ \\ \dashrightarrow \: { \boxed{ \tt{x = 10}}}\)
• The missing length:
\( = { \tt{3x - 18}} \\ \\ = { \tt{3(10) - 18}} \\ \\ = { \tt{30 - 18}} \\ \\ \dashrightarrow \: { \boxed{ \boxed{ \tt{ \: \: missing \: length = 12 \: \: }}}}\)
Drag each tile to the correct box.
Sort the following series in order from least to greatest, based on their sums.
Expressions can be represented using summations
The series from least to greatest is: \(\sum\limits^6_{k = 0}27(\frac 13)^k\), \(\sum\limits^5_{k = 0}50(\frac 18)^k\) and \(\sum\limits^6_{k = 0}33(\frac 12)^k\)
How to order the expressionsStart by evaluating the summation expressions
\(\sum\limits^6_{k = 0}27(\frac 13)^k\)
Expand the above expression
\(\sum\limits^6_{k = 0}27(\frac 13)^k = 27 * (\frac 13)^0 + 27 * (\frac 13)^1 + 27 * (\frac 13)^2 + 27 * (\frac 13)^3 + 27 * (\frac 13)^4 + 27 * (\frac 13)^5 + 27 * (\frac 13)^6\)
So, we have:
\(\sum\limits^6_{k = 0}27(\frac 13)^k = 27 * 1 + 27 * \frac 13 + 27 * \frac 19 + 27 * \frac 1{27} + 27 * \frac 1{81} + 27 * \frac 1{243} + 27 * \frac 1{729}\)
Evaluate the sum
\(\sum\limits^6_{k = 0}27(\frac 13)^k = 27 +9 + 3 + 1 + \frac 1{3} + \frac 1{9} + \frac 1{27}\)
Evaluate the sum
\(\sum\limits^6_{k = 0}27(\frac 13)^k = 40\frac {13}{27}\)
\(\sum\limits^6_{k = 0}27(\frac 13)^k \approx 40.4815\)
Also, we have:
\(\sum\limits^5_{k = 0}50(\frac 18)^k\)
Expand the above expression
\(\sum\limits^5_{k = 0}50(\frac 18)^k = 50(\frac 18)^0 + 50(\frac 18)^1 +50(\frac 18)^2+50(\frac 18)^3 +50(\frac 18)^4 +50(\frac 18)^5\)
Evaluate the exponents
\(\sum\limits^5_{k = 0}50(\frac 18)^k = 50 + 50(\frac 18) +50(\frac 1{64})+50(\frac 1{512}) +50(\frac 1{4096}) +50(\frac 1{32768})\)
Evaluate
\(\sum\limits^5_{k = 0}50(\frac 18)^k \approx 57.143\)
Also, we have the following expression
\(\sum\limits^6_{k = 0}33(\frac 12)^k\)
Expand the above expression
\(\sum\limits^6_{k = 0}33(\frac 12)^k = 33(\frac 12)^0 +33(\frac 12)^1 +33(\frac 12)^2 +33(\frac 12)^3 +33(\frac 12)^4 +33(\frac 12)^5 +33(\frac 12)^6\)
Evaluate the expression
\(\sum\limits^6_{k = 0}33(\frac 12)^k = 65.484375\)
Rewrite the three expressions
\(\sum\limits^6_{k = 0}27(\frac 13)^k \approx 40.4815\)
\(\sum\limits^5_{k = 0}50(\frac 18)^k \approx 57.143\)
\(\sum\limits^6_{k = 0}33(\frac 12)^k = 65.484375\)
So, the series from least to greatest is:
\(\sum\limits^6_{k = 0}27(\frac 13)^k\), \(\sum\limits^5_{k = 0}50(\frac 18)^k\) and \(\sum\limits^6_{k = 0}33(\frac 12)^k\)
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Answer:
Step-by-step explanation:
A gym has 2 Membership options, Option A, $5 per visit. Option B, pay $300 up front and $2 each visit. How many visits would it take to spend the same amount?
Answer:
100 visits
Step-by-step explanation:
5 - 2= 3
300 divided by 3 = 100
5 * 100 = 500
300 + (2*100)
300 + (200) = 500
Which is the value of this expression when )=-2 and k=-1?
3
jk2
0-64
Nino
O
w
o
NI -
O 64
Answer:
64
........................
Step by step You and a friend are hiking and find yourselves near the top of a waterfall. There is a path to hike down that takes 1.5 miles to reach the bottom safely and go swimming. There is also a path that is 1.2 miles down to a great place to eat lunch. Your friend wants to stay at the top of the waterfall and fly his drone overhead to take pictures from the sky. A drone is a flying robot that can be remotely controlled with computer software or technology. Draw a vertical number line to help you answer the questions.
Part A: How far would the drone need to fly up in the air to be the opposite distance from you when you are eating lunch? (3 points)
Part B: How far would the drone need to fly up in the air to be the opposite distance from you when you are swimming? (3 points)
Part C: What does the value of zero represent in this problem? (3 points)
Part D: Use absolute value to show that if you hike down to go swimming and then hike back to the top to meet your friend that you hiked the same distance in both directions. (3 points)
The values for the questions are given below.
What is Distance between Two Points?Distance between two points is the magnitude of the distance you travelled without regarding to the direction.
Let the point at the top of the waterfall is origin, where the value is 0.
Distance from the top of the waterfall to the point where they can swim = 1.5 miles or -1.5 miles since it is down the origin
Distance from the top of the waterfall to the point where they can eat lunch = 1.2 miles or -1.2 miles since it is down the origin
Part A :
When the drone needs to be in opposite distance from you when you are eating lunch, the distance of drone from the top of the waterfall must be 1.2 miles.
Total distance from the place where you eat lunch to the drone = 1.2 + 1.2 = 2.4 miles
Part B :
When the drone needs to be in opposite distance from you when you are swimming, the distance of drone from the top of the waterfall must be 1.5 miles.
Total distance from swimming to the drone = 1.5 + 1.5 = 3
Part C :
The value of 0 represent the top of the waterfall.
Part D :
If you hike down to go swimming, distance travelled = |-1.5| = 1.5 miles
If you hike up from the swimming point to the top of the waterfall, distance travelled = +1.5 miles
Both the distance are same.
Hence all the parts are answered.
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Is square root of 0.49 a rational number?
Answer:
yes it is a rational number because the square root of 0.49 is 0.7
Step-by-step explanation:
Hope that helps!
Problem
Toni and Nicky each earn a weekly salary
plus commission selling eyeglass frames.
Toni earns a weekly salary of $800 plus a
7%(800+0.07x) commission on her
weekly sales. Nicky earns a weekly salary
of $600 plus a 9%(600+0.09x)
commission on her weekly sales. How
much would their weekly(x) sales have to
be to result in Toni and Nicky earning the
same amount for the week?
Answer:
Their weekly sales would have to be $10,000 before they can be earning the same amount for the week
Step-by-step explanation:
If they are to be earning the same thing each week, it means whatever Toni is earning is what Nicky would be earning.
We proceed by equating their earnings so we would get x;
800 + 0.07x = 600 + 0.09x
Collect like terms
800-600 = 0.09x -0.07x
200 = 0.02x
x = 200/0.02
x = 10,000