Here we are given that ;
[tex]{:\implies \quad \sf f(x)=x^{2}-81}[/tex]
Differentiating both sides w.r.t.x ;
[tex]{:\implies \quad \sf f^{\prime}(x)=\dfrac{d}{dx}(x^{2}-81)}[/tex]
[tex]{:\implies \quad \sf f^{\prime}(x)=\dfrac{d}{dx}(x^{2})-\dfrac{d}{dx}(81)}[/tex]
[tex]{:\implies \quad \sf f^{\prime}(x)=2x^{2-1}-0}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{f^{\prime}(x)=2x}}}[/tex]
This is the required answer
Write an equation for the nth term of this sequence: 1/8, 1/4, 1/2, 1..
Answer:
[tex]a_n=\frac{1}{8} (2^{n-1})[/tex]
Step-by-step explanation:
This is a geometric sequence. You start with the first term, 1/8, then multiply it by 2 to get 1/4, then double that to get 1/2, etc.
The number you multiply by is called the common ratio. In this case, the common ratio is 2.
A formula for the general (nth) term is: [tex]a_n=a_1 r^{n-1}[/tex].
[tex]a_1=1/8\\r=2[/tex]
So the nth term is [tex]a_n=\frac{1}{8} (2^{n-1})[/tex]
what is the measure of the angle shown?
Answer:
35 degrees
Step-by-step explanation:
Answer:
The measure of the angle is 35 degrees
Step-by-step explanation:
There are two measurements on the protractor.
If the angle is acute you will use the smaller measurenment of the two, and if the angle is obtuse, you will use the larger of the two.
In this case the angle is acute, so the measure is 35 degrees.
Hope that helps!
the restaurant is 7.5 feet high and 22 feet long. find the volume of a cone restaurant
Answer:
950.331ft^3
Step-by-step explanation:
I hope this is correct...
I believe 22ft would be the diameter of thr circle so to find the radius you divide it by 2 and follow the formula like so.
given right triangle ABC with altitude BD drawn to hypotenuse AC. If BD = 24 nd DC = 12, what is the length of AD?
Answer:
Step-by-step explanation:
YES IS THE ANSWER BECAUSE X=9
AND 11+3=87
PLEASE HELP ME ASAP!! 20 POINTS
Answer:
44%
Step-by-step explanation:
25 divided by the eleven students is .44
Answer:
It would be 44%.
Step-by-step explanation:
There are 11 boys and 25 students in total. That would make it 11/25. That is 44 out of 100. Which is 44%.
Which geometric figure would be the best to model a suitcase?
Answer:
A rectangular prism would be best to model a suitcase
Step-by-step explanation:
Hope that helps!
Answer:
Rectangular Prism
Step-by-step explanation:
If you look at a suitcase, it resembles a rectangular prism quite well.
If VZ=p–7 and WY=p–21, what is the value of p?
Answer:
p = 35
Step-by-step explanation:
the midsegment WY is half the measure of VZ , that is
WY = [tex]\frac{1}{2}[/tex] VZ ( substitute values )
p - 21 = [tex]\frac{1}{2}[/tex] (p - 7) ← multiply through by 2 to clear the fraction
2p - 42 = p - 7 ( subtract p from both sides )
p - 42 = - 7 ( add 42 to both sides )
p = 35
Angle FGH is a right angle.
The measure of angle JGH is 50.
The measure of angle FGJ is
What is the value of x?
Answer:
since its a triangle then angles have to be 90 (the right angle) and 50 (which is given)
180-90-50 = 40
Answer = 40
Step-by-step explanation:
Look at these equations.
9 = 7+ a
a + 8 = b + 5
Use both equations to work out the value of B
Answer:
B=5
Step-by-step explanation:
If 7 plus a equals 9 then a would equal 2.
2+8=b+5
10=b+5
Ask yourself what number plus 5 equals 10
B is 5 because 5 plus 5 is 10
Marvin has a vintage comic book worth $351. According to a dealer, the value of this particular comic book will increase by 12.1% each year. How much will the comic book be worth in 13 years?
If necessary, round your answer to the nearest cent.
I will give BRAINILEST
Answer:
The players club is playing with the players
Step-by-step explanation:
give me a good Answer to my Question
What is the scale factor of this dilation? a:1/2 b:2/3 c:3/4 d:3/2
ethan puts 1/3 pound of dog food into dog bowls every time he fills it. How many times can ethan fill his dog's bowl with 5 pounds of dog food?
Answer: Ethan can fill the bowl(s) 15 times.
Step-by-step explanation:
Given a grid with 15 sections, determine how many sections in the grid need to be shaded so the probability of a point chosen at random in the shaded area is exactly 0. 8. Explain your reasoning.
12 shade out of 15 boxes which gives 0.8 chance of picking a shaded one.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
There are 15 sections given
To make the probability of choosing a shaded section randomly 0.8,
So,
0.8 of 15
0.8 is equal to 80%
we need to figure out 80% of the 15
80% of 15
80% × 15
= 12
Hence, we would need to shade 12 out of 15 boxes which gives 0.8 chance of picking a shaded one.
Learn more about probability;
brainly.com/question/795909
Use the example above and determine the fraction of total interest owed. After the fourth month of a 12 month loan, the numerator is: {(n + ) + (nt ) + (n + ) + (n + and the denominator is: {(n) + (n + 1) + ... + (n + )} Therefore, the fraction is numerator/denominator (to the nearest tenth) = %.
Answer:
Step-by-step explanation:
The picture does not show the example which will help in determining whether it is simple or compound interest calculation.
Based on what is shown, the answer is:
the numerator is: {(n + 11) + (n + 10) + (n + 9 ) + (n + 8) = 4n + 38;
and the denominator is: {(n) + (n + 1) + ... + (n + 11) = 12n + 66.
Therefore, the fraction is numerator/denominator:
= (4n + 38) / (12n + 66)
In this case n=1, the fraction = 42/78 = 0.53846
= 53.85%
An eight-sided dice is rolled twice. The numbers are 1 through 8. What
is the probability that it will land on the number 7 twice in a row?
Answer:
1/64
Step-by-step explanation:
The probability of both dice being a 1 is 1/8 * 1/8 = 1/64
A circle has a circumference of 6. It has an arc of length 1.
What is the central angle of the arc, in degrees?
The circumference formula for a circle is C=πd where C is the circumference, d is the diameter of the circle and π is a constant. If you plug in 6 for C and solve the equation for d like:
6= πd and then divide both sides of the equation by π you get that d = 1.90
To find the central angle of an arc you would use the equation S = rθ where S is the length of the arc, r is the radius of the circle, and θ is the measure of the angle which in this case is unknown. So with S = 1 and r = d/2 = 1.90/2 = 0.9549 you would have an equation that looks like this:
1 = 0.9549θ
Answer:
60
Step-by-step explanation:
1/6 x 360
Central angle is equal to measure of intercepted arc.
60 degrees
1. a) Solve the following linear-quadratic system of equations graphically.
y + 2x²– 8x – 1= 0
y+ 2x – 9= 0
b.) GRAPH
c.) Verify your solution (s) algebraically.
Answer:
please see explanation
Step-by-step explanation:
look at the photo
Solve for x.
32
(2x - 12)°
Answers:
x = 35
X= 51
x = 80
x = 96
If the half-life of that substance is 22 days, and only 1/4 of it remains, how many days have elapsed?
A- 11 days
B-22 days
C-44 days
D-88 days
Answer:
11
Step-by-step explanation:
if half of it is 22, then a whole life is 44 days. 1/4 of 44 days is 11 days so its A
Answer:
the answer is A (11 days)
Step-by-step explanation:
Hope this helps you!
mia kicked a football. the function f models the height of the ball above the ground (in meters) as a function of time (in seconds) after mia kicked it.
Answer:
Step-by-step explanation:
f(t)= 20t-5t^2
Answer:
(4,0)
Step-by-step explanation:
I did it on khan and got it right :)
After measuring the heights of 7 people, they have an average height of 156cm. after
measuring the heights of 8 people they have an average height of 158cm. how tall is
the 8th person?
Answer:
8th Person = 172 cm tall
Step-by-step explanation:
( a + b + c + d + e + f + g )/7 = 156
a + b + c + d + e + f + g = 1092 total size
----------------------------------------------------------
now they measured 8 people (a + b... g) + h, but we know the total size of the other 7 = 1092
a + b + c + d + e + f + g + h
( 1092 + h )/8 = 158
1092 + h = 158*8
h = 1264 - 1092
h = 172
-----------------------------------
the 8th person is 172 cm tall
1 2/3x=1/2
what is x?
x/2.5=1.75
what is x?
Answer:
Step-by-step explanation:
1. 12/3x = 1/2
4/1x = 1/2
4/1x = 1/2 / 4/1
1/2 x 1/4 , x = 1/8.
2). x / 2.5 = 1. 75/ 1
cross multiply to get
x = 2.5 x 1.75
x = 4.375
What time is it on the clock?
Answer:
About 2:18
The minute hand points toward the [tex]\frac{1}{4}[/tex] marker, meaning that is 15 minutes.Count the other ticks, and that's 18.Since the hand is not exactly on the 3, that means it is 2:00With this information, we can make a hypothesis or come to a conclusion that the clock says 2:18
Marcus plots the point (4, 7) in Quadrant I on the coordinate plane. Nicole then plots the point (4, –3) in Quadrant IV of the same graph. Explain what the line that goes through those two points would look like, and evaluate the slope.
coordinates: (4, 7) and (4, –3)
slope:
[tex]\sf \dfrac{y_2-y_1}{x_2-x_2}[/tex]
find slope:
[tex]\rightarrow \sf \dfrac{-3-7}{4-4}[/tex]
undefined
Here the slope is undefinedequation : x = 4
The line is a vertical line meaning no y-intercept.Without solving the addition problems, tell whether the answers are going to be odd or even. Model 39 +42 odd 1. 64 + 82 2. 129 + 377 3. 468 +599 4. 1,987 + 9,888 Activity 4 Without solving the multiplication problems, tell whether the answers are going to be odd or even. Model 39x42 even 2. 137 x 141 1. 78 X 44 4. 5,111 x 8,222 3. 528 X 603.
SOS HOMEWORK
Answer:
3. 1067
4. 11875
5. 1638
6. 19317
7. 3432
8. 42022642
9. 318384
HELP PLEASE!! 20 Points!! Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
Answer:
my answer was wrong
A textile factory uses a 43 pound bucket of dye to color a roll of fabric that is
1,067 feet long. if the company has 4 buckets of dye, can it color 5 rolls of
fabric?
Answer:
No
Step-by-step explanation:
At one bucket per roll, four buckets will color four rolls, not 5.
__
The company cannot color 5 rolls of fabric with 4 buckets of dye.
this question is too hard
Answer:
27 children
Step-by-step explanation:
For every 9 children, there are 4 adults. Those numbers added together equal 13. Now, if we divide the total number of adults and children by 13, we will get the number of how many groups there are of 9 kids and 4 adults.
39 / 13 = 3
There are 3 groups of 9 kids and 4 adults, which means to find the total number of children, we have to multiply 3 by 9.
3 * 9 = 27
Therefore, there are 27 children total. I know this was probably really confusing, but I hope it helped in some way! Have a lovely day!! :)
A function f is defined by f(x, y) = 3x2 – 4y. What is the value of
f(3, 2)?
Assuming the function is [tex]f(x,y)=3x^2-4y[/tex]
--> then f(3,2) is: [tex]f(3,2) = 3(3^2)-4(2)=3*9-8=27-8=19[/tex]
Hope that helps!
A researcher is studying the relationship between the number of TVs owned by a family and the size of the family's electric bill. After collecting data, he finds that the relationship is best modeled by the equation B = 2.43T + 95.66, where B is one month's electric bill in dollars and T is the number of TVs owned by the family. Which of these is a good interpretation of the y-intercept of this model?
Answer:
Step-by-step explanation:
No choice is given but here is the general interpretation.
Y-intercept is where the plot crosses the y-axia at x=0. In this case, x is T which represents number of TVs owned by the family. T=0 meaning there is no TV and B = 96.66 is the one month's electric bill in dollars for all other appliances in the home.
Given function
B=2.43T+95.66Now
Compare to slope intercept form y=mx+b
Slope=m=2.43Y intercept=b=95.66Here y intercept may be the fixed charge .