If y = x + 6√(x + 4), then
y' = 1 + 3/√(x + 4)
Substituting y and y' into the DE gives
(y - x) y' = (x + 6√(x + 4) - x) (1 + 3/√(x + 4))
… = 6√(x + 4) (1 + 3/√(x + 4))
… = 6√(x + 4) + 18
on the left side, while on the right you get
y - x + 18 = x + 6√(x + 4) - x + 18
… = 6√(x + 4) + 18
so both sides match and the given function is indeed a solution to the DE.
Help for number 2a) b) c)
Thank you!! Make u the brainliest
9514 1404 393
Answer:
a) 300 square units
b) 260 square units
c) 264 square units
Step-by-step explanation:
The total surface area of a triangular prism is the sum of the areas of its 5 faces. Two of those are triangles (the bases), and three are rectangles. The area of an individual triangle is A = 1/2bh, but the area of the two of them together will be simply A = bh.
The area of the three rectangular faces is the sum of the products of the height of the prism and the edge length of each face. Then the sum of these products can be computed as the product of the height and the perimeter of the base.
These repetitive calculations are nicely done by a spreadsheet loaded with the appropriate formulas. Areas are all in "square units." (For problem 3, the units are centimeters.)
Example: (2a)
Base area = 5×12 = 60 . . . . combined area of both bases
Lateral area = (5 +12 +13)(8) = 30×8 = 240
Total surface area = 60 + 240 = 300 . . . . square units
Answer:
2. a. 300 units²
b. 260 units²
c. 264 units²
Step-by-step explanation:
2. a. Surface area of triangular prism = bh + (s1 + s2 + s3)*H
Where,
b = 12
h = 5
s1 = 13
s2 = 12
s3 = 5
H = 8
Plug in the values into the formula
Surface area of triangular prism = 12*5 + (13 + 12 + 5)*8
= 60 + (30)*8
= 60 + 240
Surface area = 300 units²
b. Surface area of triangular prism = bh + (s1 + s2 + s3)*H
Where,
b = 11
h = 3
s1 = 11
s2 = 5
s3 = 6.7
H = 10
Plug in the values into the formula
Surface area of triangular prism = 11*3 + (11 + 5 + 6.7)*10
= 33 + (22.7)*10
= 33 + 227
Surface area = 260 units²
c. Surface area of triangular prism = bh + (s1 + s2 + s3)*H
Where,
b = 6
h = 8
s1 = 10
s2 = 6
s3 = 8
H = 9
Plug in the values into the formula
Surface area of triangular prism = 6*8 + (10 + 6 + 8)*9
= 48 + (24)*9
= 48 + 216
Surface area = 264 units²
A sample of 1700 computer chips revealed that 35% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature claimed that over 32% do not fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.02 level to support the company's claim
Answer:
The p-value of the test is 0.004 < 0.02, which means that there is sufficient evidence at the 0.02 level to support the company's claim.
Step-by-step explanation:
The company's promotional literature claimed that over 32% do not fail in the first 1000 hours of their use.
At the null hypothesis, we test if the proportion is of at most 32%, that is:
[tex]H_0: p \leq 0.32[/tex]
At the alternative hypothesis, we test if the proportion is more than 32%, that is:
[tex]H_1: p > 0.32[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.32 is tested at the null hypothesis:
This means that [tex]\mu = 0.32 \sigma = \sqrt{0.32*0.68}[/tex]
A sample of 1700 computer chips revealed that 35% of the chips do not fail in the first 1000 hours of their use.
This means that [tex]n = 1700, X = 0.35[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.35 - 0.32}{\frac{\sqrt{0.32*0.68}}{\sqrt{1700}}}[/tex]
[tex]z = 2.65[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion above 0.35, which is 1 subtracted by the p-value of z = 2.65.
Looking at the z-table, z = 2.65 has a p-value of 0.9960.
1 - 0.9960 = 0.004.
The p-value of the test is 0.004 < 0.02, which means that there is sufficient evidence at the 0.02 level to support the company's claim.
Sample information: 24 out of 1000 people who were surveyed had type 2 diabetes. Use the above sample information and construct two confidence intervals (one with confidence level of 90% and the other one with confidence level of 99%) to estimate the proportion of people who have type 2 diabetes. What is the relationship between the confidence level and the size of the confidence interval? Is this significant? Why is it important to understand this concept?
Answer:
it is important because the number of people who are infected by the disease is rising
9. Find the value of the trigonometric ratio tan C
Hi there!
[tex]\large\boxed{tanC = 40/9}[/tex]
tan = O / A, or the opposite side over the adjacent side.
From the diagram, we can see that the opposite side = 40 and the adjacent side = 9, so:
tan C = 40 / 9
Answer:
tan C = 40/9
Step-by-step explanation:
According to SOH - CAH - TOA, tan = opposite over adjacent.
In the picture, the opposite of tan C is 40 and the adjacent is 9.
So, tan C = 40/9
P.S. - Answer above is also correct.
What is the volume of the pyramid shown below?
Answer:
B is the answer of this question
Step-by-step explanation:
144 cu. units
Exercise science researchers collecting data within their state noticed that teens who spend more time streaming videos spend less time exercising.
What are the explanatory variable and response variable for this relationship?
Explanatory variable: time spent exercising
Response variable: state of teen’s residence
Explanatory variable: time spent streaming videos
Response variable: time spent exercising
Explanatory variable: time spent exercising
Response variable: time spent streaming videos
Explanatory variable: state of teen’s residence
Response variable: time spent streaming videos
I think it is (B):
Explanatory variable: time spent streaming videos
Response variable: time spent exercising
Answer:
It is (B) ED2021
Explanatory variable: time spent streaming videos
Response variable: time spent exercising
Five students sit at a circular table. Their chairs are number in order 1 through 5. Abby sits next to both Ben and Colin. Dalia sits next to both Ben and Sarah. The numbers on Abbys and Colins chairs add up to 6. Who is in chair number 3?
320 rounded to the nearest ten
Answer:
320
Step-by-step explanation:
Answer:
the answer is 320
Step-by-step explanation:
twenty is part of the ten times table and is therefore a "ten"
which of the following expressions are equivalent to 36x + 24y? choose all that apply
6x (6+4y) 6(6x + 4y) 12(36x + 24y) 12(3x + 2y) 4y(9x + 6) 4(9x + 6y)
The following expressions are equivalent to 36x + 24y is 6(6x+4y).
6x(6+4y)
6(6x+4y)
12(3x+2y)
4(9x+6y)
We have,
What is the expression?The expression consists of numbers and arithmetic operators. It does not contain equality or inequality symbols. The expression consists of unknown variables
36x + 24y
=6(6x)+6(4y)
=6(6x+4y)
Therefore, The following expressions are equivalent to 36x + 24y is 6(6x+4y).
To learn more about the expression visit:
https://brainly.com/question/723406
#SPJ2
What is the domain of the function
v=m***
O x2
O
O O xe3
o
X> 3
ASAP
Answer:
The function will be exist if and only if :
[tex] \frac{ - x + 3}{2} > 0 \\ = > - x + 3 > 0 \\ = > - x > - 3 \\ = > x < 3 \\ \\ \therefore \bf \: domain \: \: \green{x < 3}[/tex]
If 4 men working 4 hours for 4 days complete 4 units of work, then how many units of work will be completed by 2 men working for 2 hours per day in 2 days.
Answer:
16 days
Step-by-step explanation:
Here,
By the question,
4 men takes 4 days working each day 4 hours to complete 4 units of work..
then..
if 1 man works 1 hour each day then i would take ( 4×4×4 ) days
= 64days
then..
if 2 men work for 2 hours per day then.
it would take
4×4×4 / 2×2 days
= 16 days
The scatterplot shows the number of bedrooms in a house and the selling price for that house.
Calculate the residual for the house with 6 bedrooms, to the nearest thousand.
The residual for the house with 6 bedrooms is ___
-30k
-26k
26k
30k
Answer:
-26k, -26,000 ; (B)
ED2021
The residual for the house with 6 bedrooms is -26k.
What is Scatterplots?Scatterplots are the plotting of set of points on a vertical axis and an horizontal axis. The shows the correlation extent between the numbers of the observed quantities.
Given is a scatterplot showing the selling price of houses with the number of bedrooms.
Equation of the line of best fit is given as,
y = 6.3x + 4.8
Residual = Actual value - Predicted value
From the scatterplot,
Actual selling price of house with 6 bedrooms = 40 × 10,000 = 400,000
Predicted selling price for 6 bedrooms = (6.3 × 6) + 4.8
= 42.6 × 10,000
= 426,000
Residual = 400,000 - 426,000
= -26,000
Hence the residual is -26k.
Learn more about Residuals and Scatterplots here :
https://brainly.com/question/27847907
#SPJ2
A patient is supposed to have 800 mL every 24 hours. You kmow that the patiemt has three fourths of the fluid between breakfast 8am and dinmer 6pm. How much should be injested between 8am and 6pm?
Answer: 600 ml
Step-by-step explanation:
The patient has 3/4 out of 800 milliliters of fluid. To find how much they take in, multiply 3/4 * 800.
3/4 *800= 2400/4
simplify 2400/4
= 600
Please help me out with how to solve this
In a math class, one of your 4 test scores is dropped. On the first three tests, you have the following scores: 79, 34, and 95. What score do you need on the next test for your average to be 75 (assuming you drop the lowest test score)?
9514 1404 393
Answer:
51
Step-by-step explanation:
Your score total must be 3×75 = 225. Subtracting the two high scores gives ...
225 -95 -79 = 51
__
The score of 34 is below that value, so it is the one that will be dropped.
You need a test score of 51 on the next test for your average to be 75.
In a class of 40 statistics majors, each one constructs a 90% confidence interval for the unknown probability p of a weighted coin landing heads. About how many of the 40 intervals will capture the value of the unknown parameter p? About how many will miss it?
Answer:
36 intervals will capture the value of the unknown parameter p, and 4 will miss it.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b. x% of confidence intervals capture the unknown parameter.
About how many of the 40 intervals will capture the value of the unknown parameter p?
90% of them will capture, so:
0.9*40 = 36
0.1*40 = 4
36 intervals will capture the value of the unknown parameter p, and 4 will miss it.
Which is the following is equivalent to 16^3/4
Answer:
8
Step-by-step explanation:
8
Question 1 and 2 plz explain
Answer:
1.D
2.B
Step-by-step explanation:
1. The x intercept is the value of x when y is zero. We know that the x intercept is 0.5 so we must find a value of k that will make our rational function equal zero when x=0.5
[tex]y = \frac{k}{x + 1} - 2[/tex]
Substitute x=0.5 and y=0.
[tex]0 = \frac{k}{0.5 + 1} - 2[/tex]
[tex]0= \frac{k}{1.5} - 2[/tex]
[tex]2 = \frac{k}{1.5} [/tex]
[tex]3 = k[/tex]
D is the Answer.
2. We need to consider the function
[tex] \frac{2x}{1 - {x}^{2} } [/tex]
Since the numerator is a linear term, it will have one zero to the equation using fundamental Theorem of Algebra so C is wrong.
This is a rational function because we are dividing two polynomials by each other and q(x) or the denominator isnt zero. So D is wrong.
The denominator is a quadratic term so it will have two vertical asymptote according to the fundamental Theorem of Algebra So A is Wrong.
B is Right, the equation isnt defined at x=0 because when we plug 0 into the denominator, it doesn't equate to zero.
Find the area of the shaded regions.
Answer: About 21.98 cm²
Step-by-step explanation:
First, find the area of the large shaded circle:
[tex]r^{2} \pi =3^{2} \pi =9\pi[/tex]
Find the area of the two small unshaded circles:
[tex]1) r^{2} \pi =1^{2} \pi =1\pi \\2) r^{2} \pi =1^{2} \pi=1\pi[/tex]
Subtract the area of the small circle from the large circle:
[tex]9\pi -1\pi -1\pi =9\pi -2\pi =7\pi[/tex]
Therefore, the area of the shaded region is:
[tex]7\pi =7*3.14=21.98[/tex]
A group of high school students were surveyed about their handedness and their favorite sport. The results are displayed below.
Which of the following statements is not true, according to the graph?
The left-handed group has a higher percentage of people who prefer baseball.
The right-handed group has a lower percentage of people who prefer basketball.
The percentage of people who prefer soccer has a lower percentage in the left-handed group.
The percentage of people who prefer football is approximately the same for the right- and left-handed groups.
Answer:
The percentage of people who prefer football is approximately the same for the right- and left-handed groups.
Step-by-step explanation:
The bar for the right-handed group representing soccer is between 10% and 20% (below 20%) while the bar for the left-handed group representing soccer is at 20%.
Percentage of left-handed group of people who prefer soccer is higher than the right-handed group who prefer soccer. Therefore, they don't have the same percentage.
Answer:
D
Step-by-step explanation:
;)
The weight (in pounds) and height (in inches) for a child were measured every few months over a two-year period. The measurements are given in the table.
Using technology, what is the equation for the least-squares regression line?
y= –34.13 1.98x
y = 1.98 – 34.13x
y = 17.37 0.50x
y = 0.50 17.37x
I think it's (C) y = 17.37 0.50x --> 100%
Answer:
The answer is (C)
17.37 + .50x
ED2021
please help me with this
Answer:
2x-30 + x + 40 = 180
3x + 10 = 180
3x = 170
x = 56 [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Help please, but more importantly, I am really trying hard to figure out how, you arrive at the answer. Thanks in advance!
A recent social survey asked respondents whether they like Apple or Microsoft. The responses were recorded in the following table.
Male Female Total
Apple 152 194 346
Microsoft 168 126 294
Total 320 320 640
a. A respondent is randomly selected among those that prefer Apple, what is the probability that the respondent will be female?
b. A respondent is randomly selected among those that are Male, what is the probability that the respondent prefers Apple?
c. What is the relative frequency of a female who prefers Microsoft?ocial survey asked respondents whether they like Apple or Microsoft. The responses were recorded in the following table.
Male Female Total
Apple 152 194 346
Microsoft 168 126 294
Total 320 320 640
a. A respondent is randomly selected among those that prefer Apple, what is the probability that the respondent will be female?
b. A respondent is randomly selected among those that are Male, what is the probability that the respondent prefers Apple?
c. What is the relative frequency of a female who prefers Microsoft?
Answer:
Step-by-step explanation:
#1
A) P(FEMALE|APPLE)
apple total = 346
apple/female = 194
194/346 = .56 = 56 %
B) P(APPLE|MALE)
male total = 320
apple male = 152
152/320 = .475 = 47.5%
C) female prefer Microsoft
152:168 = 76:84 = 38:42 = 19:21
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
complete the square to form a true equation;
x^2-3/4x+__ = (x-__)^2
172273-3-$=$==8399993939384888884-%"%/=%=%8%
Step-by-step explanation:
(x^2-3/4x+y^2)=(x-y)2
(x-3/4*1/2)2
(x-3/8)(x-3/8)
(x^2-3x/8-3x/8+9/64)
(x^2-6x/8+9/64)
(x-3/8)2
WILL GIVE BRAINLISTAnother copy machine also has the ability to reduce image dimensions, but by a different percentage. This graph shows the results found when copying a design x times. Use the graph to write the equation modeling this relationship.
Answer:
f(x)=8 (0.5)^x
Step-by-step explanation:
Answer from plato
Determine the measure of the interior angle at vertex E.
A. 50
B. 90
C. 30
D. 150
PLS REPLY FAST THIS IS URGENT
The measure of the interior angle at vertex E can be determined by using the properties of triangles. In a triangle, the sum of all interior angles is always 180 degrees.
Therefore, to find the measure of the interior angle at vertex E, we need to subtract the measures of the other two angles at vertices A and B from 180 degrees. Let's assume that the measures of the angles at vertices A and B are a and b degrees, respectively. Then, the measure of the interior angle at vertex E can be calculated as follows: Interior angle at vertex E = 180 degrees - (measure of angle at vertex A + measure of angle at vertex B) Now, let's refer back to the given answer choices: A. 50 B. 90 C. 30 D. 150 Without additional information or a diagram, it is not possible to determine the exact measures of the angles at vertices A and B. Therefore, we cannot directly calculate the measure of the interior angle at vertex E. In order to solve this problem, we need more information about the triangle or a diagram that shows the relative positions of the vertices.
To know more about angle here
https://brainly.com/question/1309590
#SPJ2
Madison represented the sentence "The product of 3 and the difference of and the quotient of a number and is at most 5" by using the inequality . Which best describes Madison’s error?a) The difference of –4 and the quotient of a number and –2" should be written as . b) The product of 3 and the difference of –4 and the quotient of a number and –2" should be written as . c) The less than symbol should be replaced with the less than or equal to symbol. d) The less than symbol should be replaced with the greater than symbol.
Answer:
c) The less than symbol should be replaced with the less than or equal to symbol.
Step-by-step explanation:
3(-4 - n/-2) < 5
The equation written above could be interpreted as :
The product of 3 and the difference of -4 and the quotient of a number, n and -2 is less than 5
This means that the only error in Maddison's representation is the inequality sign, the inequality sign used by Maddison is wrong.
The equation should be used with a ≤ sign and expressed thus :
3(-4 - n/-2) ≤ 5
This means the left hand side (L. H. S) is less than or equal to 5 ; this means the L. H. S is at most 5
Answer:
C
Step-by-step explanation:
2kg of chicken
61.5 g left
How many kg of chicken were eaten
Answer:
1.9385 kilograms were eaten
1.9385 kg
Step-by-step explanation:
because 2 kg=2000 g
Subtracting 2000
- 61.5
1938.5
Converting 1938.5 in kg is 1.9385 kg
Charlotte has to read a book for school. There are 513 pages in the book. She read 113 pages on
Saturday, she read 78 pages on Sunday, and 101 pages on Monday. How many pages does Charlotte
have left to read?
A.221 pages
B.513 pages
C.292 pages
D.400 pages
A certain positive integer has exactly 20 positive divisors.
What is the largest number of primes that could divide the integer?
thx for the help in advance
9514 1404 393
Answer:
3
Step-by-step explanation:
20 has at most 3 proper factors greater than 1: 2×2×5. Each of these can represent a prime factor of the number of interest, and is 1 more than that prime's power. That is, the number of interest (n) will have at most 3 prime factors p, q, r, and will be ...
n = p·q·r^4
_____
For some prime factorization ...
[tex]\displaystyle n=\prod_{k=1}^m{p_k^{q_k}}[/tex]
The total number of divisors of n is ...
[tex]\displaystyle\prod_{k=1}^m{(q_k+1)}[/tex]
f(x)=4(2)^x
what would a graph of this look like?
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A graphing calculator can do a nice job of showing you what the graph looks like.
The initial factor of 4 is the value when x=0, the y-intercept. The base of 2 tells you the function value is multiplied by 2 for each unit of x to the right, and divided by 2 for each unit of x to the left. (The curve quickly goes off the top of the graph.)
The horizontal asymptote is y=0, as it is for all exponential functions (that have not been translated).
