Answer:
y = -3π/2 x + π
Step-by-step explanation:
sin(xy) = ½
The slope of the tangent line is dy/dx. Take the derivative of both sides with respect to x. You'll need to use chain rule and product rule.
cos(xy) (x dy/dx + y) = 0
x dy/dx + y = 0
x dy/dx = -y
dy/dx = -y/x
At x = ⅓ and y = π/2:
dy/dx = -(π/2) / ⅓
dy/dx = -3π/2
Using point-slope form of a line:
y − π/2 = -3π/2 (x − ⅓)
Simplifying to slope-intercept form:
y − π/2 = -3π/2 x + π/2
y = -3π/2 x + π
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
In this case, you should check the x-intercept (y = 0).
=> (x-3)(x+4) = 0
=> Two x-intercept at x = 3 and x = -4
C, D are not right, because there is no two x-intercepts.
A is not correct, because both of x-intercepts are less than 0.
=> Option B is correct.
Hope this helps!
:)
A 95% confidence interval of 17.6 months to 49.2 months has been found for the mean duration of imprisonment, mu, of political prisoners of a certain country with chronic PTSD. a. Determine the margin of error, E. b. Explain the meaning of E in this context in terms of the accuracy of the estimate. c. Find the sample size required to have a margin of error of 11 months and a 99% confidence level. (Use sigmaequals45 months.) d. Find a 99% confidence interval for the mean duration of imprisonment, mu, if a sample of the size determined in part (c) has a mean of 36.5 months.
Answer:
a) [tex] E = \frac{49.2-17.6}{2}= 15.8[/tex]
b) For this case we have 95% of confidence that the true mean would be between [tex]\pm 15.8[/tex] units respect the true mean.
c) [tex]n=(\frac{2.58(45)}{11})^2 =111.39 \approx 112[/tex]
So the answer for this case would be n=112
d) [tex]36.5-2.58\frac{45}{\sqrt{112}}=25.53[/tex]
[tex]36.5+2.58\frac{45}{\sqrt{112}}=47.47[/tex]
Step-by-step explanation:
Part a
For this case we know that the cinfidence interval for the true mean is given by:
[tex] \bar X \pm E[/tex]
Where E represent the margin of error. For this case we have the confidence interval at 95% of confidence and we can estimate the margin of error like this:
[tex] E = \frac{49.2-17.6}{2}= 15.8[/tex]
Part b
For this case we have 95% of confidence that the true mean would be between [tex]\pm 15.8[/tex] units respect the true mean.
Part c
The margin of error is given by this formula:
[tex] ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}[/tex] (a)
And on this case we have that ME =11 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
[tex]n=(\frac{z_{\alpha/2} \sigma}{ME})^2[/tex] (b)
The critical value for 99% of confidence interval now can be founded using the normal distribution. The critical value would be [tex]z_{\alpha/2}=2.58[/tex], replacing into formula (b) we got:
[tex]n=(\frac{2.58(45)}{11})^2 =111.39 \approx 112[/tex]
So the answer for this case would be n=112
Part d
The confidence interval for the mean is given by the following formula:
[tex]\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}[/tex] (1)
Replcaing the info given we got:
[tex]36.5-2.58\frac{45}{\sqrt{112}}=25.53[/tex]
[tex]36.5+2.58\frac{45}{\sqrt{112}}=47.47[/tex]
An elementary ntimesn scaling matrix with k on the diagonal is the same as the ntimesn identity matrix with _______ exactly one at least one all of the ______ 0's 1's replaced with some number k. This means it is _______ an invertible matrix, a zero matrix, a singular matrix, a triangular matrix, an identity matrix, and so its determinant is the _______ sum product of its diagonal entries. Thus, the determinant of an elementary scaling matrix with k on the diagonal is nothing.
Answer:
exactly one, 0's, triangular matrix, product and 1.
Step-by-step explanation:
So, let us first fill in the gap in the question below. Note that the capitalized words are the words to be filled in the gap and the ones in brackets too.
"An elementary ntimesn scaling matrix with k on the diagonal is the same as the ntimesn identity matrix with EXACTLY ONE of the (0's) replaced with some number k. This means it is TRIANGULAR MATRIX, and so its determinant is the PRODUCT of its diagonal entries. Thus, the determinant of an elementary scaling matrix with k on the diagonal is (1).
Here, one of the zeros in the identity matrix will surely be replaced by one. That is to say, the determinants = 1 × 1 × 1 => 1. Thus, it is a a triangular matrix.
five more than the quotient of y and 2 is -3
Answer:
y/2 + 5 = -3
y/2 = -8
y = -16
Step-by-step explanation:
The Cortes’ have a monthly combined take-home pay of $3,750. The Cortes’ recorded the following housing expenses for the month of August: $878.65 for mortgage payment; $52.50 for insurance premium; $266.67 for real estate taxes; $94.52 for electricity; $45.03 for telephone service; and $42.65 for water. How much are their housing costs over or under the FHA guidelines?
1 point
$67.52 under
$67.52 over
$2,369.98 under
$2,369.98 over
Answer:
I can't say over or under because I don't know the FHA guidelines but they had $2369.98 left over after the housing costs ($1380.02)
Step-by-step explanation:
Expenses for August= 878.65 + 52.50 + 266.67 + 94.52 + 45.03 + 42.65
= $1380.02
Income-Expenses= 3750-1380.02= 2369.98
What is the length of AC?
Answer:
2.96
Step-by-step explanation:
The cosine of an angle is the length of the adjacent side divided by the length of the hypotenuse. In this case:
[tex]\cos 65=\dfrac{x}{7}[/tex]
[tex]x=7\cdot \cos 65\approx 2.96[/tex]
Hope this helps!
Pls help with this one I will give brainliest thank you!
Answer:
B. 10 in.
Step-by-step explanation:
When you do length times width times height 10*10*10 equals 1000
10*10=100 and 100*10=1000
Answer:10 feet
Step-by-step explanation:
edge=[tex]\sqrt[3]{1000}[/tex]= 10 so the answer is B
Consider the polynomial: StartFraction x Over 4 EndFraction – 2x5 + StartFraction x cubed Over 2 EndFraction + 1 Which polynomial represents the standard form of the original polynomial? StartFraction x cubed Over 2 EndFraction – 2x5 + StartFraction x Over 4 EndFraction + 1 –2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1 –2x5 + StartFraction x Over 4 EndFraction + StartFraction x cubed Over 2 EndFraction + 1 1 – 2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction
Answer:
(B)[tex]-2x^5+\dfrac{x^3}{2}+\dfrac{x}{4}+1[/tex]
–2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1
Step-by-step explanation:
Given the polynomial: [tex]\dfrac{x}{4}-2x^5+\dfrac{x^3}{2}+1[/tex]
We are required to pick an equivalent polynomial which is in standard form.
A polynomial is in standard form when it is written in descending powers of x.
Therefore, rearranging the polynomial above, we have:
[tex]-2x^5+\dfrac{x^3}{2}+\dfrac{x}{4}+1[/tex]
The correct option is B.
The correct answer is B. –2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1
hope you have a great day :D
اذا كانت س زاويه حاده و كان جاس= ٣/٥ فان ظا س=؟؟
I keep gettin it wrong please help!!!
Answer:
-5≤ x ≤5 or [-5,5]
Step-by-step explanation:
domain is related to independent variable x
black dots means that number is included in the domain
in this case function is from -5,5 included or -5≤ x ≤5 or [-5,5]
Graphs of what functions are shown below?
Answer:
y = -√(x -5) +2
Step-by-step explanation:
This looks like a square root function reflected vertically, and translated up 2 and right 5.
y = -√(x -5) +2
_____
g(x) = a·f(x -h) +k represents a translation of f(x) by (h, k) and a vertical scaling by a factor of "a". If "a" is negative, the function is reflected across the x-axis.
Factor the expression. d2 + 12d+ 36
Answer:
the factored expression is
(d+6)(d+6) or (d+6)^2
Step-by-step explanation:
CAN SOMEONE PLEASE SOLVE THIS!!!!!!!!!!! NEED HELP!!!!!!!!!!!!!!!!!!!! PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A and E are correct
Step-by-step explanation:
lines DE and FG are congruent and so is angle DQE and GQF
help help help please
Answer:
to add to the table, continue the arithmetic sequence in each columnto use the table, extend the third column to 45, or multiply the first row by 9Step-by-step explanation:
The numbers in the first column are an arithmetic sequence with a common difference of 2. The next few numbers will be 6, 8, 10, ...
The numbers in the second column are an arithmetic sequence with a common difference of 3. The next few numbers will be 9, 12, 15, ...
The numbers in the third column are an arithmetic sequence with a common difference of 5. The next few numbers will be 15, 20, 25, ...
To use the table, Mark can extend each sequence until he has a row with 45 in the third column, or he can multiply or add rows to give a result of 45 in the third column. For example, multiplying the first row by 9 gives 18:27:45 meaning that Mark needs 18 liters of blue and 27 liters of yellow to make 45 liters of green paint.
:
What is 475.189 rounded to the nearest hundredth?
Answer:
It is:475.19.
HOPE THIS HELPED
Answer:
475.19.
Step-by-step explanation:
The hundredths place is two places to the right of the decimal, or (0.01).
In the number given, the number to the right of the hundredths place is larger than 5, meaning we will round up giving us:
475.189 --> 475.19.
Not sure on how to do these questions
Answer:f(8)=g(8)
Step-by-step explanation:
So in these problems f(8) means that you look at the f(x) function (function 1) and plug in 8 for x. Then since it says g(8), you look at the g(x) function and substitute x for 8. If we do that, f(x)=2(8)-3 which is 13. g(x)=3/2x+1=13. The two of them are equal when x=8. So the answer is the third choice
Answer:
f(8)=g(8)
Step-by-step explanation:
Just put the values of given functions in the equation
Tommy purchased a new vacuum for $1,150 at the Best Buy. He has a 15% coupon. How much will he save?
Answer:
$172.50
Step-by-step explanation:
1150 * 0.15 = 172.5
Answer:
the answer is 172.50
Step-by-step explanation:
So is the price for the the vacuum 1.150 and the coupon is 15% then u multiply them and get 172.50 which is your answer
Step-by-step explanation
1150 * 0.15 = 172.5
If it was helpful can u mark me brainliest pls!!!!!!!!!!!
Audrey collected 4⁄5 pint of blueberries. Addison collected 12 times as many pints of blueberries as Audrey. How many pints of blueberries did Addison collect?
Answer:
48/5≈ 9 3/5
Step-by-step explanation:
12 is the same thing as 12/1
so your multiply fractions
4/5 times 12/1
numerator=top
denominator=bottom
so to multiply a fraction you multiply the numerator times the numerator
so in that case your multiplying 4 times 12
=48
to find the bottom half you multiply the denominator times the denominator
in that case is 5 times 1
=5
numerator/denominator
48/5
if you want to simplify it further simply divide 48/5
5 goes into 48 about 9 times
and were left with 3/5
so 9 and 3/5
pls mark me brainliest
Write the slope-intercept form of the equation of the line through (-1,4) and parallel to x=5
Answer:
x = -1
Step-by-step explanation:
When lines are parallel, they have the same slope
x = 5 means the line is a vertical line going through x=5
The new line is a vertical line
We have a point (-1,4)
It will need to go through the x point of -1 and be a vertical line ( which is in the form x= )
x=-1
Ten cards numbered from 1 to 10 inclusive are placed in a hat Irene takes a card out of the hat without looking what is the probability that she takes out:
A] the number 10
B] an odd number
C] a number greater than 4
D] a prime number
E] a number between 5 and 9?
the driveway in front of the brown house is 35 feet long and the driveway of the red house is 7 yards and 9 feet long. which house has a long driveway? by how much
Answer:
The brown house has the longer driveway
Step-by-step explanation:
So we would need to convert both of these units of measurements to feet in order to compare them.
There are 3 feet in 1 yardConverting yards to feet, wee need to multiply the number of yards by 3
7 yards = 21 feetSince the red house has a driveway of 7 yards and 9 feet, we can rewrite this to 21 feet + 9 feet, which is equivalent to 30 feet
Now comparing the two driveways, the 35 ft-long brown driveway is 5 feet longer than the 30 ft-long red driveway.
The brown house has the longer driveway
word problem of addition or subtraction
Answer:
subtraction
Step-by-step explanation:
In order to find out how many more flowers you need, you need to subtract both of the numbers to get the difference.
Answer:19
Step-by-step explanation:subtract 27 from 8.
Fernanda is filling a cylindrical pot with cans of vegetable soup. The pot has a diameter of 15 in. and a height of 10 in. The soup can has a diameter of 4 in. and a height of 5 in. How many cans of soup will it take to fill up the pot?
Answer:
28.125 cans
Step-by-step explanation:
Step 1: Determine the Volume of the Pot
Diameter= 15 inches, therefore Radius=15/2=7.5 Inches
Height =10 Inch
Volume of a cylinder =[tex]\pi r^2h[/tex]
Volume of the Pot [tex]=\pi*7.5^2*10=562.5\pi[/tex] cubic inches.
Step 2: Determine the Volume of each can
Diameter= 4 inch, therefore Radius=4/2=2 Inches
Height =5 In.
Volume of a cylinder =[tex]\pi r^2h[/tex]
Volume of one can [tex]=\pi*2^2*5=20\pi[/tex] cubic inches.
Step 3: Divide the Volume of the Pot by the Volume of the can
To obtain the number of cans that will fill the pot, we divide the Volume of the Pot by the Volume of the can.
Volume of the Pot÷Volume of one can
[tex]=562.5\pi \div 20\pi\\=28.125 \:cans[/tex]
Therefore, we conclude that it takes 28.125 cans to fill up the cylindrical pot of soup.
A circle has a circumference that is greater than 8 meters. The inequality 3.14 d greater-than 8 can be used to determine the possible lengths of the diameter of the circle. What are the possible values of d, the length of the diameter in meters?
d less-than 25.1
d greater-than 25.1
d less-than 2.5
d greater-than 2.5
Answer:
It is the last one
Step-by-step explanation:
Answer:
it is d
Step-by-step explanation:
given h(x)=-2x+5, find h(-6)
This question is easy! it's simply asking to plug in -6 instead of the variable x.
h(-6)=-2(-6)+5
=12+5
=17
17 is your final answer.
what is the result of 3×3/5×(-8×1/3)
Answer:
-4.8
Step-by-step explanation:
Answer:
−24/5
Step-by-step explanation:
3x3/5x(-8x1/3)
Use the order of operations method, PEMDAS, in order to solve this expression.
U
14 poi
At the college football game there were 48,000 people. If 77% of the
people at the game were supporters for the home team, how many
people were supporting the home team? *
Answer:
36960 people
Step-by-step explanation:
Answer:
36,960 people
Step-by-step explanation:
[tex]\frac{is}{of}=\frac{percent}{100}[/tex] is the formula to solve for this equation, here plugging in all our numbers gives us [tex]\frac{x}{480,000} = \frac{77}{100}[/tex].
We do not know our "is" so we replace it for x and solve → [tex]x=(480,000)(\frac{77}{100} )[/tex] = 36,960 people
Write one digit on each side of 73 to make a four digit multiple of 36. How many different solutions does this problem have?
Answer: an option is 2736
and we only have two possible solutions, the other is 6732
Step-by-step explanation:
we want to write a number:
a73b, where a and b are one digit numbers (0 to 9) in such way that the number is divisible by 36.
Now, we know that 36 is multiple of 6, so 6*6 = 36
The multiples of 36 are always even numbers, so we can discard all the odd options for b.
We also can discard the option a = 0, because we want a 4 digit number.
now, let's do it by brute force.
if a = 1, we have:
173b, now you can give b different values (only even values) and see if some of them is divisible by 36. You will find that none is.
if a = 2
273b
when b = 6, we have:
N = 2736, that is divisible by 36 as:
2736/36 = 79, so this is a multiple of 36.
now, you can keep changing the value of a and find all the different possible solutions.
if a = 3,
373b is not divisible by 36 for any value of b
if a = 4
473b is not divisible by 36 for any value of b
if a = 5
573b is not divisible by 36 for any value of b
if a= 6
673b it is divisible by 36 when b = 2.
6732/36 = 187
if a = 7
773b is not divisible by 36 for any value of b
if a = 8
873b is not divisible by 36 for any value of b
if a = 9
973b is not divisible by 36 for any value of b
So we only have two possible solutions
The different solutions this problem have are 2736 and 6732.
What is a Digit?This is a part of a number which consists of numerals from 0 to 9.
a73b is the first number where a and b are one digit numbers (0 to 9) which is divisible by 36.
All multiples of 36 are always even numbers, so odd number options for b isn't considered.
If a = 2 when b = 6, we have: it is divisible by 36 when b = 2.
N = 2736, which is divisible by 36 to give 76 hence it is a multiple of 36.
673b is divisible by 36 when b = 2.
N = 6732 which is divisible by 36 to give 187 hence it is a multiple of 36.
Hence, the two values are 2736 and 6732.
Read more about Digits here https://brainly.com/question/13124157
. The pet store salesman told Evan to feed his dog 8 ounces of food per day. The food is sold in pounds. How many pounds does Evan need to buy for 2 weeks of feeding his dog? (16 ounces = 1 pound)?
Simon knows that 25% of the people at a movie theater are seeing a romantic comedy. How many people are at the movie theater if 55 people are seeing a romantic comedy?
Answer:
220
Step-by-step explanation:
Number of people in theater = x
25% * x = 55
x = 55 / 25% = 55 / 25 * 100 = 55 * 4 = 220