Find the average rate of change of f(x)=9x^2-2 on the interval of [1,t]
Answer:
[tex]Rate = 9(t+1)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 9x^2 - 2[/tex]
[tex]Interval = [1,t][/tex]
Required
Determine the average rate of change
This is calculated using:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex][a,b] = [1,t][/tex]
So, we have:
[tex]Rate = \frac{f(t) - f(1)}{t - 1}[/tex]
Solve for f(t) and f(1)
[tex]f(t) = 9t^2 - 2[/tex]
[tex]f(1) = 9*1^2 - 2[/tex]
[tex]f(1) = 9 - 2[/tex]
[tex]f(1) = 7[/tex]
So, we have:
[tex]Rate = \frac{9t^2 - 2 - 7}{t - 1}[/tex]
[tex]Rate = \frac{9t^2 - 9}{t - 1}[/tex]
Factorize:
[tex]Rate = \frac{9(t^2 - 1)}{t - 1}[/tex]
Apply difference of two squares
[tex]Rate = \frac{9(t- 1)(t+1)}{t - 1}[/tex]
[tex]Rate = 9(t+1)[/tex]
A coaster is designed to hold 2 different drinks. Find the area of the coaster. Round your answer to the nearest hundredth
Answer:
mhm
Step-by-step explanation:
that is right
calculate the area of the regular
Pentagon below 11.8 and 8.1
A:164.025
B:238.95
C:351.78
D:477.9
Answer:
we cant see the numbers in the picture
Let g be the function given by g(x)=√ 1−sin2x. Which of the following statements could be false on the interval 0≤x≤π ?
The statement that could be false on the interval is if x is greater than π/2
Given the function g(x)=√ 1−sin2x
We are to get the value of x that will make the function not exist. For the function not to exist, hence:
sin2x> 1
Solve the expression for x
2x > arcsin(1)
2x > π
x > π/2
This shows that the statement that could be false on the interval is if x is greater than π/2
Learn more here: https://brainly.com/question/18738481
mike and sam are running laps. mike runs a lap in 5 minutes and sam runs a lap in 6 minutes. if mile and sam begin running at the same time, after how many minutes will they cross the starting line at the same time
answer:
they will never cross....
Find the circumference and area of the circle to the nearest hundredth. Use 3.14 for . Round to the nearest hundredth if necessary.
The circumference of the circle is about ____ cm.
The area of the circle is about ____ cm2.
Please answer!
Answer:
The circumference of the circle is about 166.42 cm.
The area of the circle is about 2205.07 cm².
Step-by-step explanation:
Diameter = 53 cm
Radius = r = 53cm/2 = 26.5 cm
π = 3.14
Circumference = C = 2 π r
C = 2(3.14)(26.5cm) = 166.42cm
The circumference of the circle is about 166.42cm.
Area = A = π r²
A = (3.14)(26.5cm)² = 2205.07 cm²
The area of the circle is about 2205.07 cm².
PLEASEEEEEEEEEEEEEEE answer below
Please Help me
What is the answer
Answer:
here you go I hope this helps:)
If MN = x+4 and DE = 3x-2, find x. (More info in pic)
Answer: D) 10
============================================================
Explanation:
I'm assuming points M and N are midpoints of segments FD and FE respectively. If that's the case, then segment DE is twice as long compared to segment MN. We consider MN to be a midsegment.
So,
DE = 2*(MN)
3x-2 = 2*(x+4)
3x-2 = 2x+8
3x-2x = 8+2
x = 10
Marcia biked 600 meters on friday. On saturday ,she biked 5 kilometers. On Sunday, she biked 2 kilometers, 500 meters. How many kilometers did Marcia bike over the three days?
Answer:
10.4
Step-by-step explanation:
So let's do the basic, adding. 5 kilometers on Saturday and 4 on part of Sunday. That's 9. So let's save that. Now for the meters. We know that there are 1000 meters in a kilometer. So add up 600 and 800. That gives you 1400 meters total. Now if we divide 1400 by 1000, we get 1.4. So that is how many kilometers he rode on Friday and and the other part of Sunday. SO now we just add everthing up. 9km+1.4km = 10.4, your answer
Evaluate 4x+2 when x=6 .please answer I'm being timed
Answer:
26
Step-by-step explanation:
first, substitute the value for x into the expression. since x = 6, you will be plugging in 6 for x.
4x + 2 ⇒ 4(6) + 2
simplify the expression, starting with 4 · 6.
4(6) + 2 ⇒ 24 + 2
then add 24 + 2.
24 + 2 ⇒ 26
aaaand your answer is 26! hope this helps. have a lovely day! <3
PLEASE HELP ILL GIVE BRAINLIEST
Step-by-step explanation:
Rabbit/Snake= 4
Rabbit/Not snake= 18
Not rabbit/Snake= 11
Not rabbit/Not snake= 26
Total snake= 15 (from 4+11)
Total not snake= 44 (from 18+26)
Total rabbit= 22 (from 4+18)
Total not rabbit= 37 (from 11+26)
Total total= 118 (from all totals added together [15+44+22+37])
Which expression shows an equivalent way to represent the total bill?
Answer:
(7+5.5)m + 5.5(2)
Step-by-step explanation:
Given:
Equation;
7m + 5.5(2+m)
Find:
Equivalent way
Computation:
7m + 5.5(2+m)
7m + 11 + 5.5 m
12.5m + 11
Or
(7+5.5)m + 5.5(2)
Values of p and q? Answers in exact terms please.
50 points! I will mark brainliest! Please only give me the correct answers! Random answers will be reported :)
Answer:
Q3. x = 14, y = 7Q4. x = 29, y = 3Step-by-step explanation:
Question 3
Anglesx + 45° = 59° (exterior angle)x = 14°SidesThe triangle is right isosceles (45°)
The legs have equal length
10 + 2y + 1 = 4y - 34y - 2y = 11 + 32y = 14y = 7Question 4
The figure is a square
Sides5y + 3y = 248y = 24y = 3AnglesThe angle between sides 24 and 24 is the right angle
x + (9y + 5) + x = 90°2x + 9(3) + 5° = 90°2x = 90° - 32°2x = 58°x = 29°Please I’ll do anything I’m begging
Answer:
14√2
Step-by-step explanation:
This is a 45-45-90 triangle
Because both of the angles are the same all sides, but the hypotonouse are the same
this means that the other length is 14 too
we can use a²+b²=c² to solve
14²+14²=c²
=
392=c²
√392=c
√392=14√2
TRY IT Solve and support your thinking
A grasshopper weighs of an ounce. A beetle weighs
of an ounce. Which weighs more?
100
10
Answer:
45 hihihihihihihihihihihihih
Step-by-step explanation:
Answer:
Your answer doesnt say how much the beetle wighs, probably the grasshopper though
Step-by-step explanation:
write the ratio in simplest form 15:45
I need help with this please
the correct answer is A) 10x + 30
Answer:
The answer is "10x+30"
Step-by-step explanation:
At the local bank 60% of the employees have 2 or more children. There
are 240 employees that have fewer than 2 children. How many
employees does the bank have?
A 96
400
D600
Solve the following inequality 5x+12+3x<36
Answer:
x<3
Step-by-step explanation:
5x+12+3x<36
First subtract 12 from both sides.
5x+3x<24
Next combine like terms on the left side (5x and 3x)
8x<24
Next divide 8 from both sides
x<3
whats the figurative language in scars to your beautiful explain
YOU WILL GET BRAINLIEST
Answer:
Scars to Your Beautiful Analysis
Alessia Cara uses figurative language to emphasize that our differences are what makes us beautiful and we should embrace it. She personifies that the world has possibilities to change its opinions on people with differences by saying "the world could change it's heart".
Step-by-step explanation:
is this it?
Zachary went to the store to buy some walnuts. The price per pound of the walnuts is
$5.25 per pound and he has a coupon for $3.25 off the final amount. With the
coupon, how much would Zachary have to pay to buy 3 pounds of walnuts? Also,
write an expression for the cost to buy p pounds of walnuts, assuming at least one pound is purchased.
Cost of 3pounds:
Cost of p Pounds:
Please help me on this :(
Answer:
300 & 200
Step-by-step explanation:
In the first slide, 45 is the "whole" and 15 percent is the "part." From there you cross mutiply and solve. You should end up with 300.
The same concept is appled in the second slide, just without the example to go from!
The points (6, -23) a
and
(11, r) lie on a line with slope 4. Find the missing coordinate r.
HELP ME PLEASE ITS DUE IN 2 HOURS I NEED HELPPP I WILL MARK BRAINLIEST HELPPP PLSSSSS
Answer:
[tex]r=-3[/tex]
Step-by-step explanation:
The line that passes through the two points (6, -23) and (11, r) has a slope of 4.
We want to determine the missing value of r.
We can use the slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (6, -23) be (x₁, y₁) and let (11, r) be (x₂, y₂). The final answer should be 4. Therefore:
[tex]\displaystyle \frac{r-(-23)}{11-6}=4[/tex]
Simplify and evaluate:
[tex]\displaystyle \frac{r+23}{5}=4[/tex]
Multiply both sides by 5:
[tex]r+23=20[/tex]
Therefore:
[tex]r=-3[/tex]
a chord subtends an angle of 34 at the center of a circle of radius 4cm find the length of the chord (take =22/7)
Answer:
2.34 cm
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle at the centre (θ) = 34°
Radius (r) = 4 cm
Length of chord (C) =?
The length of the chord can be obtained as follow:
C = 2rSine(θ/2)
C = 2 × 4 × Sine(34/2)
C = 8 × Sine 17
C = 8 × 0.2924
C = 2.34 cm
Therefore, the lenght of the chord is 2.34 cm.
PLEASE HELP!!! URGENT!!
Answer
234
Step-by-step explanation:
The value of a certain stock has decrease 5% per day for the past 10 days. The initial price of the stock was $30 per share. Which equation describes the value of the share price of the stock as a function of n the number of days elapsed during the 10 days period?
Your answer is:
V(n) = 30(0.95)^n
Why?
Well here is why!
Rate of decrease = 5%
Period, n = 10 days
Initial stock price = $30
Value of share price as a function of n:
Value, V(n)
Initial price = A
V(n) = Initial price(1 - rate)^n
V(n) = 30(1 - 0.05)^n
V(n) = 30(0.95)^n
Hope this helps if it did mark brainlist!
You went clothes shopping two times. The first time you bought 3 shirts and 2 pants for $120.00. The second time, you paid $213.00 for 6 shirts and 3 pants. What was the cost for each shirt and for each pair of pants?
PLEASE ANSWER I'LL GIVE BRAINLIEST
PLEASE HELP ME ILL GIVE BRAINLIEST SELECT ALL THAT APLY!!!!!!!!!!!!!!!!!!!!!!!
[tex]y\cdot \:2\frac{1}{2} =[/tex] [tex]2\frac{1}{2}=\frac{2\cdot 2+1}{2}=\frac{5}{2}[/tex] [tex]=\frac{5y}{2}[/tex]
a) [tex]2y+\frac{1}{2}=\frac{4y+1}{2}[/tex]
b) [tex]2y+\frac{1}{2}y=\frac{5y}{2}[/tex]
So b) is the expression that is equivallent.Hope I helped you!Success!