Answers
Answer:
B.
Step-by-step explanation:
We are given:
[tex]\displaystyle \int \sqrt{x}\Big(9x^3-2\sqrt{x}+\frac{8}{x}\Big)\, dx[/tex]
And we want to select its equivalent form.
Note that A is not valid. No integration property allows us to separate factors unless that factor is a constant.
We can simply rewrite and then distribute. First, by rewriting:
[tex]\displaystyle =\int x^{1/2}\Big(9x^3-2x^{1/2}+8x^{-1}\Big)\, dx[/tex]
Distribute. Recall exponent properties;
[tex]\displaystyle =\int(9x^{3+1/2}-2x^{1/2+1/2}+8x^{-1+1/2})\, dx[/tex]
Simplify:
[tex]\displaystyle=\int9x^{7/2}-2x+8x^{1/2}\, dx[/tex]
This can then be separated (since its addition/subtraction) and integrated individually.
Hence, our answer is B.
Related Questions
this is on ttm or imagine math
Answers
Answer:
I think the answer is A as well
Step-by-step explanation:
Answer:
a a a a a a a a a a a a a
Step-by-step explanation:
The rate of change of y is proportional to y. When t=0, y=4, and when t=2, y=8. What is the value of y when t=3?
Answers
Answer:
When t = 3, y = 12. y = 4t, for t>0
Step-by-step explanation:
8 = 4 x 2; y = 4 x 3 = 12.
Myopia in children. Myopia, also called short-sightedness, is a common visual impairment that is reaching alarming proportions worldwide. The condition typically develops in school-age children and adolescents. It has long been thought that the condition was associated with too much reading, but recent evidence suggests instead that a lack of exposure to natural outdoor light may play a role. To investigate this new theory, researchers compared rates of myopia among randomly selected young children (6 and 7 years old) of Chinese ethnicity living in either Sydney (Australia) or Singapore. The researchers found that 4 of the 124 children in the Australian sample had myopia, compared with 183 among the 628 children from Singapore
Required:
a. Display the findings in a two-way table. What percent of the children in the study had myopia?
b. What is that percent among the children living in Australia and among those living in Singapore?
Answers
Answer:
a. percentage of children with myopia = 24.87%
b. 3.23% of children living in Australia have myopia
29.14% 0f children living in Singapore have myopia
Step-by-step explanation:
a.
the table is an attachment
percentage of children with myopia in this study
number of children with myopia in Australia = 4
number of children with myopia in Singapore = 183
total children with myopia = 4 + 183 = 187
total number of Australian children = 124
total number of Singapore children = 628
total number of children = 124 + 628 = 752
percentage with myopia = 187/752 * 100 = 24.87%
2.
percentage of Australian children with myopia
total children from Australia = 124
those with myopia = 4
percentage = 4/124 * 100 = 3.23% of children living in Australia have myopia
percentage of Singapore children with myopia
total number of children = 628
those with myopia = 183
percentage = 183/628 * 100 = 29.14% 0f children living in Singapore have myopia
Helppp pleaseeee which one
Answers
Answer:
Coefficient is your answer
Answer:
3 is a coefficient
Step-by-step explanation:
a constant is a number without a variable and that is unchanging
3 has the variable w attached to it and will change with the value of w
hope this helps <3
A cup of coffee at 95 degrees Celsius is placed in a room at 25 degrees Celsius. Suppose that the coffee cools at a rate of 2 degrees Celsius per minute when the temperature of the coffee is 70 degrees. The differential equation describing this has the form
Answers
Answer:
See Explanation
Step-by-step explanation:
For an object at temperature T and supposing that the ambient temperature is Ta then we can write the differential equation that typifies the Newton law of cooling as follows;
dT/dt=-k(T-Tₐ)
So
dT/dt = 2 degrees Celsius per minute
T = 70 degrees Celsius
Ta = 25 degrees Celsius
2 = -k(70 - 25)
-k = 2/(70 - 25)
k = - 0.044
Hence we can write;
dT/dt=-(- 0.044)(95-25)
dT/dt= 3 degrees Celsius per minute
What is the value of p?
x=1/4y^2
Answers
Answer:
The value of p is 1
Step-by-step explanation:
we know that
The standard form of the equation of a horizontal parabola is
(y - k)² = 4p(I - h)
where
(h,k) is the vertex
p[tex]\neq[/tex] 0
if p > 0, the parabola opens to the right, and if p < 0, the parabola opens to the left.
In this problem we have
I = [tex]\frac{1}{4}[/tex]y²
Convert to standard form
y² 4I
The vertex is the point (0,0)
4p = 4
P = 1 -----> p > 0, the parabola opens to the right
Find the circumference of a quarter of the circle (radius = 6)
Answers
Answer:
rajjsjdjdjxkkdkdkdkkdjxjjdjxjckfkjdjfuidid
A normal distribution has a mean of 33 and a standard deviation of 4. Find the probability that a randomly selected x-value from the distribution is in the given interval. a. between 29 and 37 b. between 33 and 45 c. at least 29 d. at most 37
Answers
Answer:
a. 0.6826 = 68.26% probability that a randomly selected x-value from the distribution is between 29 and 37.
b. 0.4987 = 49.87% probability that a randomly selected x-value from the distribution is between 33 and 45.
c. 0.8413 = 84.13% probability that a randomly selected x-value from the distribution is at least 29.
d. 0.8413 = 84.13% probability that a randomly selected x-value from the distribution is at most 37.
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 normal distribution has a mean of 33 and a standard deviation of 4.
This means that [tex]\mu = 33, \sigma = 4[/tex]
a. between 29 and 37
This is the pvalue of Z when X = 37 subtracted by the pvalue of Z when X = 29. So
X = 37
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{37 - 33}{4}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
X = 29
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{29 - 33}{4}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
0.8413 - 0.1587 = 0.6826
0.6826 = 68.26% probability that a randomly selected x-value from the distribution is between 29 and 37.
b. between 33 and 45
pvalue of Z when X = 45 subtracted by the pvalue of Z when X = 33. So
X = 45
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{45 - 33}{4}[/tex]
[tex]Z = 3[/tex]
[tex]Z = 3[/tex] has a pvalue of 0.9987
X = 33
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{33 - 33}{4}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
0.9987 - 0.5 = 0.4987
0.4987 = 49.87% probability that a randomly selected x-value from the distribution is between 33 and 45.
c. at least 29
This is 1 subtracted by the pvalue of Z when X = 29. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{29 - 33}{4}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
1 - 0.1587 = 0.8413
0.8413 = 84.13% probability that a randomly selected x-value from the distribution is at least 29.
d. at most 37
This is the pvalue of Z when X = 37. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{37 - 33}{4}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
0.8413 = 84.13% probability that a randomly selected x-value from the distribution is at most 37.
Following are the solution to the given points:
Given:
[tex]\to Mean \ (\mu)= 33\\\\ \to \text{standard deviation}\ (\sigma) =4 \\\\[/tex]
To find:
find points=?
Solution:
For point a:
[tex]\to P (29 <x<37) = P(\frac{29-33}{4} \leq \frac{X-\mu}{\sigma} \leq \frac{37-33}{4} )[/tex]
[tex]= P(\frac{-4}{4} \leq \frac{X-\mu}{\sigma} \leq \frac{4}{4} )\\\\= P(-1 \leq z \leq 1 )\\\\= P(-1 < z <1 )\\\\= P(Z <+1) - P(Z <-1) \\\\=0.84134 - 0.15866\\\\= 0.68268 \\\\=68.268\%[/tex]
For point b:
[tex]\to P (33 <x<45) = P(\frac{33-33}{4} \leq \frac{X-\mu}{\sigma} \leq \frac{45-33}{4} )[/tex]
[tex]= P(\frac{0}{4} \leq \frac{X-\mu}{\sigma} \leq \frac{12}{4} )\\\\= P(\frac{0}{4} \leq \frac{X-\mu}{\sigma} \leq 3 )\\\\= P(-2< z< 0)\\\\= P(Z <-2) - P(Z <0) \\\\=0.9987-0.5 \\\\= 0.4987\\\\= 49.87\%[/tex]
For point c:
When X = 29, subtract by 1 from the p-value of Z.
Using formula:
[tex]\to Z = \frac{X -\mu}{\sigma}\\\\[/tex]
[tex]=\frac{29-33}{4} \\\\ =\frac{-4}{4} \\\\= -1 \\\\=1 - 0.1587 \\\\= 0.8413 \\\\= 84.13\%[/tex]
For point d:
[tex]\to Z = \frac{X -\mu}{\sigma}\\\\[/tex]
[tex]= \frac{37-33}{4}\\\\ =1\\\\ =\text{1 has a p-value of}\ 0.8413\\\\=0.8413 \\\\= 84.13\%[/tex]
So, the answer is " 68.268%,49.87%, and 84.13%"
Learn more about the normal distribution:
brainly.com/question/12421652
Find the length of side x in simplest radical form with a rational denominator
Answers
Answer is in the file below
tinyurl.com/wpazsebu
A realtor receives 7% commission for each home for each home she sells. She sold a home recently, earning a commission of $17,500. What was the sale price of the home?
Answers
Answer:
Step-by-step explanation:
if the realtor received a commission of 17,500 dollars which represent only 7% of the price of the house,
the sale price was
(17,500*100)/0.07=250,000
The sum of the ages of two brothers is 38. in four years ago the age of the elder brother was the square of the younger brother. Find their ages
Answers
Answer:
Elder brother: 25
Younger brother: 5
Step-by-step explanation:
38 - (4+4)= 30
Now trial all square numbers
e.g 2 + 4 = 6 (does not work)
5 + (5x5)= 30
Question 1 (1 point) What is the volume of the square-based pyramid shown below? 12 in. A. 96 cu in. B. 384 cu in. C. 256 cu in. D. 768 cu in.
Answers
Area of square pyramid:
⅓×[base area]×height
according to the question
⅓×[8×8]×12
simplify parentheses:
⅓×64×12
Simplify fraction
64×4
Simplify multiplication
256
256 did the test on k12 Answer:
c
Step-by-step explanation:
Which algebraic expression is a polynomial?
3m^2 n - 2m/n + 1/n
4m^3/n^2 - 3mn^5 + square root of 8
7mn + 3m/2 + 5n/4
Answers
Answer: The answer is 7mn+3m/2+5n/4
7mn + 3m/2 + 5n/4 is the algebraic expression which is a polynomial
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
A polynomial is an expression with variables and coefficients separated by addition and subtraction.
The following are used when determining if an expression is a polynomial:
i) Variables of a polynomial must not have negative exponent.
ii) Variables of a polynomial must not have fractional exponent.
iii) Dividing by an exponent is not allowed
iv) Exponent radicals are not allowed.
7mn + 3m/2 + 5n/4 is a polynomial because it has variables and seperated by operators addition and subtraction.
Hence, 7mn + 3m/2 + 5n/4 is the algebraic expression which is a polynomial
To learn more on Polynomials click:
https://brainly.com/question/11536910
#SPJ5
A survey was conducted on a college campus to determine what type of food students want in the dining halls. Out of 1200 students that completed the survey, 45% said that they wanted ice cream available. What is the margin of sampling error for the survey?
a. 0.149
b. 0.029
c. 0.450
d. 0.214
Answers
Answer:
The answer is b. 0.029
Step-by-step explanation:
Margin error for a sample size of 1200 is 2.9%.
The Margin error formula can be represented as:
[tex]z \times \: \sqrt{ \frac{p0(1 - po)}{n} } [/tex]
Where
z = critical value
n = sample size
[tex]p0 = sample \: proportion[/tex]
Help ASAP!!!!! Which is the same as moving the decimal point 3 places to the right in a decimal number?
Answers
Answer:
In this case, the net effect is that you moved the decimal point three places to the right, which is the same as multiplying 7 by 1,000.Step-by-step explanation:
the correct answer is b
Find the vertex of the parabola y=2x^2+10x+8
Answers
Answer:
Step-by-step explanation:
Put the equation into vertex form.
y = 2x² + 10x + 8
= 2(x² + 5x) + 8
= 2(x² + 5x + 2.5²) - 2·2.5² + 8
= 2(x+2.5)² - 4.5
vertex (-2.5, -4.5)
I NEED THE ANSWER ASAP:
Dr. Whether-or-Not collects two hailstones during a storm in California. One hailstone weighs 2 3/8 pounds, and the other hailstone weighs1 3/10 pounds. How much heavier is the larger hailstone than the smaller hailstone?
Answers
Step-by-step explanation:
difference in weight
= 2 3/8- 1 3/10
= 19/8-13/10
=(19*5 -13*4)/40
=95-52/40
=43/40
=1 3/40 pounds
Answer:
1 3/40, or 1.075!
Step-by-step explanation:
Please tell me if i made a mistake or misunderstood.
Questions in the attachments
Thank you to whoever answers :)
Answers
Answer:
A.
C.
D.
That should be the answer.
Hopefuly that helped.
Using the diagram below, calculate the value of x
Answers
Answer:
51°
Step-by-step explanation:
35°+(2x+16)°+(4x+3)°=360°
54°+6x=360°
6x=360°-54°
6x=306°
x=306°/6
x=51°
i need help can you explain how to do it
Answers
Answer:
-7.
Step-by-step explanation:
(x²+t²x+t³+8)`=(x²)`+(t²x)`+(t³)`+(8)`=2x*x'+2t*x+t²*x'+3t²;
[tex]x'=\frac{2tx+3t^2}{t^2+2x};[/tex]
[tex]x'(-2;-4)=\frac{2*2*4+3*4}{4-8}=-7.[/tex]
3/4x 2 1/3 what is the answer to this question
Answers
Answer:
1.75
Step-by-step explanation:
nsjdjdjdjdjndnsjdjdjjddbjdjsjsj its 1.75
Answer:
7/4
Step-by-step explanation:
3/4 * 2 1/3 = 7/4
Hope this helps =]
Find the mode of 10,12,11,10,15,20,19,21,11,9,10.
Answers
Answer:
mode is 10 as it is repeated more
A 25,000-gallon swimming pool needs to be completely drained for maintenance purposes.
Your pump empties the pool at a rate of 30 gallons/minute.
Part A: Let h represent the number of hours the pool has been draining. Write an
equation that can be used to determine the number of hours it will take to
completely drain the pool.
Part B: Suppose you start draining the pool Monday, May 7 at 8:00 a.m. Would it be
safe to schedule maintenance to begin on Tuesday, May 8 at noon?
Answers
Answer:
A: 1800h-25,000
B: Yes, he would have time.
Step-by-step explanation:
A:
Lets turn 30 gallons/minute into hours so we can make it easier.
18000h-25000
Then plug in h which is hours. To get your answer
B:
From May 7 at 8:00 a.m. to May 8 at 12 p.m. would be 28 hours.
So we plug in 28 for h and get our answer of 25400 gallons/hour
The hanger image below represents a balanced equation. Find the value of n that makes the equation true.
Answers
Answer:
6
Step-by-step explanation:
16=n +10
subtract 10 from both sides and your left with 6=n
the ages of six boys are given as 12 years 3 months, 18 years, 13 years 7 months, 17 years 2 months 15 years and 14 years respectively. what is their average age?
Answers
Answer:
15 years (180 months)
Step-by-step explanation:
turn it into months first
147
216
163
206
180
168
add them together, then divide by how many there are
1,080/6=180 months
180/12 =15
All of the following operations are used to solve for x in the equation below except one. Which one is it?
9x-2=4x+8
A. Addition
B. Division
C. Multiplication D.subtraction
Answers
Answer:b
Step-by-step explanation: use pemdas
Which expression has the largest value? Each has 9/16 as a factor.
A) 1 2/3 x 9/16
B) 2 7/8 x 9/16
C) 9/2 x 9/16
D) 10/89 x 9/16
Answers
Answer:
A
Step-by-step explanation:
3/4 x 1/5, just double checking for a test
Answers
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer....
3/4 × 1/5 = 3/20Hope it helps you,
Mark me brainliest plz....
Follow me! :)
Dinner at chili's came to 27.00. You want to leave a tip of 15%,how much money will you leave for just the tip
Answers
Answer:
4.05 dollars
Step-by-step explanation:
4 dollars and 5 cents. 15 percent of 27 is 4.05
Find the slope of a line that passes through the following points (3,2) (5,-3)
A. 2/5
B. 5/8
C. -5/2
B. -5/8
Answers
Answer:
C
Step-by-step explanation:
Use the slope formula:
m = (y2 - y1) / (x2 - x1)
m = (-3 - 2) / (5 - 3)
m = -5/2