Answers
[tex]y = x + \pi[/tex]
Step-by-step explanation:
We need to find the slope of the line tangent to y at [tex]x=-\pi[/tex] and we can do that by calculating the derivative of y at that point. We know that
[tex]y'(x) = \dfrac{d}{dx}(\tan{x}) = \sec^2{x}[/tex]
and
[tex]y'(-\pi) = \sec^2(-\pi) = 1[/tex]
To find the equation of the tangent line, we know that the line passes through the point [tex](-\pi, 0)[/tex] so we can write the slope-intercept form of the line's equation as
[tex]0 = (-\pi) + b \Rightarrow b = \pi[/tex]
Therefore, the equation of the line tangent to the point [tex]x = -\pi[/tex] is
[tex]y = x + \pi[/tex]
The graph of the two functions is shown above.
Related Questions
A rectangular shelf with an area equal to x^2-16x+60 square units could have which possible dimensions for length and width
Answers
Answer:
Step-by-step explanation:
x²-16x+60
=x²-6x-10x+60
=x(x-6)-10(x-6)
=(x-6)(x-10)
so dimensions are x-6 and x-10.
Solve for x using
multiplication.
cross
X - 2
x3
x + 2
=
4
3
x = [?]
Answers
Answer:
x = 14Step-by-step explanation:
[tex] \frac{x - 2}{3} = \frac{x + 2}{4} [/tex]
=> 4(x-2) = 3(x+2) [Cross Multiplication]
=> 4x - 8 = 3x + 6
=> 4x - 3x = 8 + 6
=> x = 14 (Ans)
for 20 points and brainliest
What is the surface area of a right circular cylindrical oil can, if the radius of its base is 4 inches and its height is 11 inches?
Answers
Answer:
376.99in³
Step-by-step explanation:
no proof but a g00gle calculator, you're just gonna have to trust me on this one
Answer:
SA = 376.8 in²
Step-by-step explanation:
area of top:
π4² = 50.24 in²
50.24 x 2 = 100.48 in² (for both ends)
area of side:
circumference = 2 x 4 x π = 25.12 in
area = 25.12 x 11 = 276.32 in²
276.32 + 100.48 = 376.8 in²
In the geometric sequence below, what is the common ratio?
Sequence: 64,16,4,1
Answers
9514 1404 393
Answer:
1/4
Step-by-step explanation:
The common ratio is the ratio of successive terms:
16/64 = 4/16 = 1/4
The common ratio is 1/4.
Naomi's fish is 40 millimeters long. Her guinea pig is 25 centimeters long.
How much longer is her guinea pig than her fish?
Answers
Explanation 1:
Her guinea pig is
25 cm long.
25 cm = 250 mm
Her fish is 40 mm long, so her guinea pig is longer than her fish by
25 cm − 40 mm = 250 mm − 40 mm = 210 mm= 21 cm
Explanation 2:
First, lets convert the length of Naomi's guinea pig from cm to mm.
1 cm=10 mm
We can multiply each side of the equation by 25 to obtain the length of the guinea pig in mm.
25 × 1 cm = 25 × 10 mm
25 cm = 250 mm
Because we have a length of the guinea pig and the fish in a common metric we can subtract the two values: 250 mm − 40 mm = 210 mm The guinea pig is 210 millimeters longer than the fish. Or, if we want to convert this to centimeters we can divide by 10: 210 millimeters 10 = 21 centimeters
Hope this helps have a good day/night!
:21 ezz it is 21 centimeters
Tucker purchased $4,600 in new equipment for a catering business. He estimates that the value of the equipment is reduced by approximately 40% every two years. Tucker states that the function V(t)=4,600(0.4)2t could be used to represent the value of the equipment, V, in dollars, t, years after the purchase of the new equipment. Explain whether the function Tucker stated is correct, and, if not, determine the correct function that could be used to find the value of the equipment purchased.
Answers
The function stated by Tucker is incorrect.
V(t) = 4600(0.8)^t
Step-by-step explanation:
Given the function :
V(t)=4,600(0.4)2t
The initial value of equipment = 4600
Decay rate = 40% of very 2 years
The value of equipment t years after purchase
The exponential decat function goes thus :
V(t) = Initial value * (1 - decay rate)^t
The Decay rate per year = 40% /2 = 20% = 0.2
V(t) = 4600(1 - 0.2)^t
V(t) = 4600(0.8)^t
having trouble on this ixl
Answers
Answer:
1/2
Step-by-step explanation:
Since they sold 3 cupcakes of each section, it would be a 50/50 chance that the next one would be either.
Find the measure of 26.
4 6 = [?]
249
46
Answers
Answer:
Solution given:
<6+24=180[co- interior angle]
<6=180-24=156°
<6=156°
find the highest common factor of 63 and 81 please no links
Answers
Jose graphed the amount of money paid in relation to the Number of avocados bought. Which statement best describes the unit rate for the graph below?
Answers
Answer:
The answer is c : avacodos cost 5.00 each
Step-by-step explanation:
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.y=69(0.92)
x
Answers
9514 1404 393
Answer:
decay; 8% decrease per time period
Step-by-step explanation:
The growth factor is the base of the exponential term. The growth rate is 1 less.
growth rate = 0.92 -1 = -0.08 = -8%
When the growth rate is negative, it is exponential decay withe the amount of decrease equal to the magnitude of the rate.
A growth rate of -8% represents exponential decay, with a decrease of 8% per time period.
Find the value of x.
75°
36°
Answers
Answer:
111 is X
Step-by-step explanation:
So the theroum for any extended angle is to add the two opposite angles.
So if you add the 2 numbers is suppose to be X.
75+36=111
Thats it
1/8 divided by 5 pls help
Answers
Answer:
1/40
Step-by-step explanation:
Answer:
decimal form- 0.025
fraction form- 1/40
Step-by-step explanation:
Emily ha 6 pounds of grapes. She splits the grapes into smaller 1/3 pound bunches. How many bunches of grapes can she make ?
Answers
Answer:
2
Step-by-step explanation:
2 because 6 multipled by 1/3 is 2 and 2 multipled 3 is 6
During a flu epidemic, 35% of the school's students have the flu. Of those with the flu, 90% have high
temperatures. However, high temperatures are possible for people who do not have the flu. It is estimated that
12% of those without the flu have high temperatures.
If a student has a high temperature, what is the probability that the student has the flu?
Answers
Answer:
0.8015 = 80.15% probability that the student has the flu
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Has high temperature.
Event B: Has the flu
Probability of a student having high temperatures:
90% of 35%(have the flu)
12% of 100 - 35 = 65%(do not have the flu). So
[tex]P(A) = 0.9*0.35 + 0.12*0.65 = 0.393[/tex]
Probability of having high temperatures and the fly?
90% of 35%, so
[tex]P(A \cap B) = 0.9*0.35 = 0.315[/tex]
If a student has a high temperature, what is the probability that the student has the flu?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.315}{0.393} = 0.8015[/tex]
0.8015 = 80.15% probability that the student has the flu
2+2(8)-12=
whats the answer?
Answers
Answer:
2 + 2(8) - 12 =?
2 + 16 - 12 =?
2 + 4 = 6.
Answer:
[tex]2 + 2(8) - 12 \\ = 2 + 16 - 12 \\ = 2 + 4 \\ = 6 \\ \\ 6 \: is \: the \: correct \: answer[/tex]
Hope it helps!
Sam had 2/3 of a pie and gave Joe 1/2 of what he had. What fraction of the whole pie does Joe have?
Answers
Answer:
1/6
Step-by-step explanation:
He has 2/3 of a pie, and half of that is gonna be 1/3. If he gives away 1/3, 2/3-1/3=1/6 left because its not a fraction of his original piece that the question is asking for, but the whole pie
Five surf shops sell the same pair of flip-flops for the following prices: $17.00, $15.50, $15.00, $18.00, $15.00. Find the mean, median, and mode of the data to determine which measure of center and which measure of variability best describe the data.
The mean is $
. The median is $
. The mode is $
.
The
best describes the data, so the
is the better measure of variability.
Answers
Answer:
Mean: $16.1
Median: $15.00
Mode:$15.00
The mode best describes the data, so the mean is the better measure of variability.
Step-by-step explanation:
How to find the mean:
Add up each value on the data set, then divide it by the number of values on the data set. (Example: $17.00 + $15.50+$15.00+$18.00+$15.00= 80.5/5=16.1)
How to find the median: Order your values from least to greatest, then find the value in the center.
How to find mode: Look for the most frequent value in the data set. What value shows up the most?
Hence, the mean is $ [tex]16.1[/tex] and the median is $ [tex]15.50[/tex] and the mode is $ [tex]15.00[/tex].
Here, the mode best describes the data, so the mean is the better measure of variability.
What is the mean, median, mode?
Mean, median, and mode are the measures of central tendency, used to study the various characteristics of a given set of data. A measure of central tendency describes a set of data by identifying the central position in the data set as a single value.
Here given data is
$[tex]17.00[/tex], $[tex]15.50[/tex], $[tex]15.00[/tex], $[tex]18.00[/tex], $[tex]15.00[/tex]
Here,
Mean is the sum of all values divided by number of observation
i.e,
[tex]\frac{17.00+15.50+15.00+18.00+15.00}{5}=\frac{80.5}{5}\\\\\\=16.1[/tex]
Median is the middle value of the data, firstly we arrange the data in ascending order
[tex]15.00,15.00,15.50,17.00,18.00[/tex]
So, the middle value is [tex]15.50[/tex] $.
Mode is the repetition of the same number in the data
[tex]15.00,15.00,15.50,17.00,18.00[/tex]
Then, [tex]15.00[/tex] is the mode of the given data.
Hence, the mean is $ [tex]16.1[/tex] and the median is $ [tex]15.50[/tex] and the mode is $ [tex]15.00[/tex].
Here, the mode best describes the data, so the mean is the better measure of variability.
To know more about the mean, median and mode
https://brainly.com/question/3183994
#SPJ2
Silvergrove middle school spent $60 to purchase 4 work books. How many these workbooks can they buy for $90? Solve using unit rates.
Answers
EVERYONE HELP SOS SOS I NEED YOUR HELP THIS IS AN EMERGENCY SOS
SOS
SOS
How is X - 5 mathematically different from x > 5?
INCLUDE A REAL LIFE EXAMPLE IN YOUR RESPONSE AND YOU WILL RECEIVE A BONUS POINT AND MARKED BRAINLYEST
Answers
Answer:
The result is different
Step-by-step explanation:
Hope this helps
The heights of the pine trees in a certain forest are normally distributed, with a mean of 86 feet and a standard deviation of 8 feet.
Approximately what percentage of the pine trees in this forest are taller than 100 feet?
Answers
Answer:
4%
Step-by-step explanation:
PLATO users
4% of the pine trees in this forest are taller than 100 feet.
The heights of the pine trees in a certain forest are normally distributed, with a mean of 86 feet and a standard deviation of 8 feet. Approximately what percentage of the pine trees in this forest are taller than 100 feet to be determined.
The statistic is the study of mathematics that deals with relations between comprehensive data.
raw score x = 100 , mean = 86 standard deviation = 8,
The probability of pine trees in the forest being taller than 100 ft is given as,
p = p( x > 100)
[tex]P =P[z = \frac{X - \mu}{\sigma}][/tex]
P = z [ (100-86)/8 ]
P = z [1.5]
P = 0.04004
P = 4.04%
Thus, 4% of the pine trees in this forest are taller than 100 feet.
Learn more about Statistics here:
https://brainly.com/question/23091366
#SPJ2
What is the volume of this container?
Answers
Answer:
420
Step-by-step explanation:
Annual starting salaries for college graduates with degrees in business administration are generally expected to have a population standard deviation of $3,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. How large a sample should be taken if the desired margin of error is (a) [1 pt] $500
Answers
Answer:
A sample of 139 should be taken.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Population standard deviation of $3,000.
This means that [tex]\sigma = 3000[/tex]
How large a sample should be taken if the desired margin of error is $500?
A sample of n is needed.
n is found when M = 500. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]500 = 1.96\frac{3000}{\sqrt{n}}[/tex]
[tex]500\sqrt{n} = 1.96*3000[/tex]
Dividing both sides by 500
[tex]\sqrt{n} = 1.96*6[/tex]
[tex](\sqrt{n})^2 = (1.96*6)^2[/tex]
[tex]n = 138.3[/tex]
Rounding up:
A sample of 139 should be taken.
Fred takes out a mortgage for $60,000 at 7% for 20 years. What are his monthly payment, the total
amount paid, and the cost of the mortgage?
Answers
You need 12 and it cost 50k
a shipping company charges a cost per pound plus a fixed fee to ship a package. The total cost, f(x), in dollars, of shipping x pounds is modeled by the function shown. f (x) = 4.99x + 5.75 which part of the function represents the fixed fee
Answers
Answer:
5.75
Step-by-step explanation:
Think about it like this, which number is changing with "X" ? Obviously the total f(x) and the number being multiplied by x (the slope) 4.99 so the fixed number is 5.75
Maxwell buys a bag of dog food that contains 18 cups of food, Maxwell feeds his dog 1 cups each day. Maxwell says he will be able to feed his dog for 27 days.
correct?
Answers
Answer:
Incorrect
Step-by-step explanation:
Well since there is only 18 cups of dog food he will only be able to feed his dog for 18 days since he feeds his dog 1 cup a day.
Answer:
Incorrect
Explanation:
Maxwell's dog eats one cup of food a day. The bag contains only eighteen cups, so it will feed the dog for eighteen days. There will not be enough food to last Maxwell for 27 days. So, the answer is incorrect.
2. A CD is marked with a sale sticker saying it is 56% off. The original price is $10.17. What is the sale price?
Answers
Answer:
4.4748
Step-by-step explanation:
$10.17- 56% = $4.4748
just round it of to 2 decimals
In how many ways can 21 be expressed as the sum of 3 prime numbers?
Answers
Answer:
I think by using a prime factor tree
If you make $30 every 10 seconds how much would you make in an hour?
Answers
Answer:
$10800
Step-by-step explanation:
Answer:
10800
Step-by-step explanation:
but this person is super rich
Answers please and explain
Answers
Answer:
34 divided by pie. so type this in your calculator, 34/3.14 and then theres ur answer when u hit enter
Step-by-step explanation:
type it in the calculator bc i dont have mine rn
Answer:
102
Step-by-step explanation:
Well it says use 3 instead of pi. So (3)(34)
Which is 102