Answer:
We seek to verify the Mean Value Theorem for the function
f(x)=3x2+2x+5
on the interval
[−1,1]
The Mean Value Theorem, tells us that if
f(x)
is differentiable on a interval
[a,b]
then ∃
c∈[a,b]
st:f'(c)=f(b)−f(a)b−a
So, Differentiating wrt
x
we have:
f'(x)=6x+2
And we seek a value
c∈[−1,1]
st: f'(c)=f(1)−f(−1)1−(−1)
∴6c+2=(3+2+5)−(3−2+5)2
∴6c+2=42
∴6c+2=2
∴6c=0
∴c=0
Is 42 a prime number
Answer:
No
Step-by-step explanation:
Answer: No it is not
Step-by-step explanation:
2² X 3 + √576 X (2² X 16 ) – (25 + 5²)
Answer:
1498
Step-by-step explanation:
Write the following rate as a unit rate.
1720 words to 40 minutes
Answer:
430 words per minutes because we divide 1720 by 40 to get the number of words for a singular minute.
Hope this helped and brainliest please
circle equal groups to find the equivalent fraction
Answer:
where is the picture
is there a picture?
Help me please. And if you can explain but if not its ok
Answer:
B. 13√3
Step-by-step explanation:
Apply pythagorean theorem:
Thus, we have:
x² = (12√3)² + (5√3)²
x² = 432 + 75
x² = 507
x = √507
x = 13√3
. Which equation has y=5.1
HELP IM CLUELESS
Answer:
A
Step-by-step explanation:
Isolate the variable y in each equation
A.
y + 2.9 = 8
To isolate y, subtract both sides by 2.9
y = 5.1
This equation has y = 5.1
Let's check the other equations just to get a better understanding of how to do it
B.
y - 11 = 5.1
To isolate y, add both sides by 11
y = 16.1
This equation does not have y = 5.1
C.
y + 4.2 = 5.2
To isolate y, subtract both sides by 4.2
y = 1
This equation does not have y = 5.1
D.
24 - y = 19.2
To isolate y, subtract both sides by 24
-y = -4.8
To isolate y, divide both sides by -1
y = 4.8
This equation does not have y = 5.1
Answer:
A
Step-by-step explanation:
Y+2.9=8
8-2.9= 5.1
Y=5.1
Select three ratios that are equivalent to 7: 6.
Answer: 12:14, 21:18, 42:36
Step-by-step explanation:
Rachel’s earrings are in the shape of a triangle. The height of the earrings is 1 1/2 inches and the base is 3/5 inches. What is the area of both of Rachel’s earrings?
Formula: A=1/2bh
Formula: A=0.5 x b x h
Answer:
9/10
Step-by-step explanation:
First, 1 1/2 as a improper fraction is 3/2
Second, 3/2 x 3/5 = 9/10
Third, you need to do 9/10 x 2 since there are two earings which equals 18/10.
Fourth, 18/10 divided by 2 = 9/10 which means that the area of both earrings is 9/10
Hope this helps!
MNPQ is a square. The radius of circle Ris 3 inches.
Which of the following is the length of QR?
Answer:
i think its 7
could be wrong tho
Step-by-step explanation:
The length of QR is required.
The length of QR is 6.71 inches.
GeometryFrom the figure it can be determined that
[tex]RP=NR=3\ \text{inches}[/tex] (Radius)
[tex]RP=NP=6\ \text{inches}[/tex] (MNPQ is a square)
From the Pythagoras theorem we get
[tex]QR=\sqrt{RP^2+QP^2}\\\Rightarrow QR=\sqrt{3^2+6^2}\\\Rightarrow QR=6.71\ \text{inches}[/tex]
Learn more about geometry:
https://brainly.com/question/24375372
Yadira's mom is buying hot dogs and hot dog buns for the family barbecue. Hot dogs come in packs of 12 and hot dog buns come in packs of 9.
The store does not sell parts of a pack and Yadira's mom wants the same number of hot dogs as hot dog buns.
What is the smallest total number of hot dogs that Yadira's mom can purch
Answer:
36 hot dogs
Step-by-step explanation:
For this question, we use the LCM of 12 and 9 to calculate the answer
The LCM of 12 and 9 = 36
12=4 x 3
9=3 x 3
LCM of Number = 3 x 3 x 4 = 36
will mark you brainliest if you get the answer correct!!
Answer:
81.64
that's the answer
Divide. Express your answer in simplest form.
10 ÷ 3 5/9
Please help me, I will give brainliest, 20 points.
Answer:
2 13/16 or 2.8125
Step-by-step explanation:
What I did is 90/32 and then solved that.
HELP I will make you bring bring list
Answer:
Uhh you got it right already
Step-by-step explanation:
Answer:
The top question is 17/15 or 1 2/15 but I dont get the second part
Step-by-step explanation:
To get my answer I first found a common denominator and multiplied each fraction to fit it, then I added the fractions and got 17/15, next I turned it into a mixed fraction by dividing 17 by 15 and I got 1 2/15 which cannot be simplified.
Raj studied for4/7of an hour,while ram studied for 5/8 of an hour.who studied for longer time
Answer:
Ram studied for longer time
Step-by-step explanation:
An hour = 60 minutes
Raj studied for 4/7 of an hour
= 4/7 of 60 minutes
= 4/7 × 60
= (4×60)/7
= 240/7
= 24.29 minutes
ram studied for 5/8 of an hour
= 5/8 of 60 minutes
= 5/8 × 60
= (5×60)/8
= 300/8
= 37.5 minutes
who studied for longer time?
Ram - Raj
= 37.5 - 24.29
= 13.21 minutes
Ram studied for longer time
Ram studied 13.21 minutes longer than Raj
PLEASE HELP ME WITH THIS FOR BRAINLIST AND 5 STAR
Answer:
Step-by-step explanation:
1) 792÷ 36=22
2) 1/2 ÷ 3 = 1/6
3) D
4) its 10,00 cause 7.741 x 10 = 77,410
5) the answer in decimal is 60.089
Leeson can proofread a newspaper copy in 4 hours. If Ryan proofreads the same newspaper copy, it takes 3 hours. How
long would it take if they worked together?
Answer:
1 hour
Step-by-step explanation:
It would take that long because they work together, at 4 hours Ryan's 3 are subtracted and the result would be 1 hour. This is because while one of us makes the errors in the first or second paragraph, the other is checking the next and thus they finish faster.
If they worked together they can finish the given task in [tex]\frac{7}{12}[/tex] hours.
Given that, Leeson can proofread a newspaper copy in 4 hours. If Ryan proofreads the same newspaper copy, it takes 3 hours.
We need to find how long would it take if they worked together.
What is the formula to find the work done?Work Done = Time Taken × Rate of Work. Rate of Work = 1 / Time Taken. Time Taken = 1 / Rate of Work. If a piece of work is done in x number of days, then the work done in one day = 1/x.
Now, the work done by Leeson [tex]=\frac{1}{4}[/tex] and the work done by Ryan [tex]=\frac{1}{3}[/tex]
So, work done by both together [tex]=\frac{1}{4}+\frac{1}{3}=\frac{3+4}{12}=\frac{7}{12}[/tex] hours.
Therefore, if they worked together they can finish the given task in [tex]\frac{7}{12}[/tex] hours.
To learn more about work and time questions visit:
https://brainly.com/question/9050411.
#SPJ2
Which function has a remainder of 18 when divided by (x-2)?
The function that has a remainder of 18 when divided by ( x-2 ) is
f ( x ) = 2x⁴ + 4x² - 10x - 10
What is a polynomial function?
A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.
Given data ,
The divisor = ( x - 2 )
The remainder = 18
The function will be f( x ) = 2x⁴ + 4x² - 10x - 10
Step 1 :
Divide f ( x ) by ( x-2 ) = [tex]\frac{2x^4+4x^2-10x-10}{x-2}[/tex]
=
[tex]2x^3+\frac{4x^3+4x^2-10x-10}{x-2}[/tex]
Step 2 :
Divide [tex]\frac{4x^3+4x^2-10x-10}{x-2}[/tex]
=
[tex]2x^3+4x^2+\frac{12x^2-10x-10}{x-2}[/tex]
Step 3 :
Divide [tex]\frac{12x^2-10x-10}{x-2}[/tex]
=
[tex]2x^3+4x^2+12x+\frac{14x-10}{x-2}[/tex]
Step 4 :
Divide [tex]\frac{14x-10}{x-2}[/tex]
=
[tex]2x^3+4x^2+12x+14+\frac{18}{x-2}[/tex]
The remainder is 18 at the end of step 4
Hence , the function that has a remainder of 18 when divided by ( x-2 ) is
f ( x ) = 2x⁴ + 4x² - 10x - 10
To learn more about fractions click :
https://brainly.com/question/2929160
#SPJ2
A theatre class is made up of
actors and set designers. If there
are 24 actors and 16 set
designers, what percent of the
theatre class are
set designers ?
NEED DONE ASAP
Answer:
Step-by-step explanation:
percent means p/100
p/100=16/(16+24)
p/100=16/40
p=100(16)/40
p=1600/40
p=40%
Answer:
40
Step-by-step explanation:
first find total theater cast:40
then set up a proportion:
16/40 = x/100
cross multiply 16 and 100
1600
then divide by 40
40
What value of x is in the solution set of 8x – 6 > 12 + 2x?
Answer:
the answers are -1, 0, 3, and 5
Step-by-step explanation:
3. If
15
x+20'
what is the value of?
X
90, 98, 96, 95, 97, 96, 99, 91, 93, 98, 96, 97, 95, 96 Part C: Tierney says that 40% of her ponies are over 96 centimeters in height. Is Tierney’s statement CORRECT? A. Yes, because there are 9 ponies with a height of at least 96 centimeters and that is 60% of her ponies. B. No, because there are 5 ponies with a height greater than 96 centimeters and that is about 36% of her ponies. C. Yes, because the median height of the ponies is 96 centimeters and 50% of the ponies would be taller. D. No, because there are 4 ponies with a height of 96 centimeters and that is about 27% of her ponies.
Answer:
Yes, because the median height of the ponies is 96 centimeters and 50% of the ponies would be taller.
Step-by-step explanation: I think so
6.105x 10^8/3.7x10^3
Step-by-step explanation:
[tex] = \frac{6.105 \times 10^8}{3.7 \times 10^3} \\ = 1.65 \times {10}^{8 - 3} \\ = 1.65 \times {10}^{5} [/tex]
If JL= 54, what is the value of x? x
Answer:
x=2
Step-by-step explanation:
(8x+11)+(14x-1)=54=> 22x +10=54=>22x=44=>x=2
Suppose f(x) =log(x-3) and a g(x)=x+4.
Find the domain of. (fog)(x)
Answer:
x > -1
Step-by-step explanation:
p = (f o g)(x) = log ((x+4)-3)
p = log (x+1)
so that p has a value,
the value of x + 1 mus be greater than 0
x + 1 > 0
x > -1
so the domain is x > -1
Domain = {x | x > -1, x must real number}
Help me outttttt !!!!!!
Answer: 41
Step-by-step explanation: the hypotenuse is always the longest side of a right triangle!
Answer:
41
Step-by-step explanation:
the hypotenuse is the longest side always
Help fast plz 100 points!
Answer:
The answer is the first one
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Ellen wants to give 100 toys to each of 9 charities. In one week, she collects 387 toys. The next week, she collects 515 toys. Has Ellen reached her goal? Use an estimate to explain.
Find the area of the figure
Someone help I’m giving 30 points
Answer:
126.5 cm
Step-by-step explanation:
First, find the area of the rectangular shape at the bottom.(think of this as 2 separate shapes then add their areas together to find the final area)
11x8=88 cm
Next, find the area of the triangle.
Area of triangle = base x height /2
11x7=77
77/2=38.5
88+38.5=126.5 cm
As a ship approaches the dock, it forms a 70 angle between the dock and the lighthouse. At the lighthouse, an 80 angle is formed between the dock and the ship. How far is the ship from the dock?
Answer:
The distance from the ship to the dock is approximately 5.24 miles
Step-by-step explanation:
From the parameters given in the question, we have;
The angle formed between the dock and the lighthouse = 70°
The angle formed between the dock and the lighthouse at the ship = 80°
The distance between dock and the lighthouse = 5 miles (From a similar question online)
By sine rule, we have;
[tex]\dfrac{a}{sin(A)} = \dfrac{b}{sin(B)} = \dfrac{c}{sin(C)}[/tex]
Therefore, we have;
[tex]\dfrac{5}{sin(70^{\circ})} = \dfrac{The \ distance \ from \ the \ ship \ to \ the \ dock}{sin(80^{\circ})}[/tex]
[tex]\therefore The \ distance \ from \ the \ ship \ to \ the \ dock = sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})}[/tex]
[tex]sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})} \approx 5.24 \ mi[/tex]
Therefore;
The distance from the ship to the dock ≈ 5.24 miles
Determine the degree of the following polynomial: - 4x + 10
Answer:
yeah it si correct
Step-by-step explanation:
4x-5x²+6x³/2x=4x-5x²+3x²=4x-2x²
therefore the degree of the following polynomial is 2