First, make sure the mean value theorem applies for the given f . Its domain is x + 1 > 0, or x > -1, and it's continuous and differentiable on its domain, so all is well.
By the MVT, we have for some c in the open interval (1, 4),
f ' (c) = (f (4) - f (1)) / (4 - 1)
f (x) = 5 cos²(x/2) + ln(x + 1) - 3
→ f (4) = 5 cos²(2) + ln(5) - 3
→ f (1) = 5 cos²(1/2) + ln(2) - 3
→ f ' (c) = (5 cos²(2) + ln(5) - 3 - 5 cos²(1/2) - ln(2) + 3) / 3
-5 cos(c/2) sin(c/2) + 1/(c + 1) = (5 (cos²(2) - cos²(1/2)) + ln(5/2)) / 3
-15 sin(c) + 6/(c + 1) = 10 (cos(4) - cos(1)) + 2 ln(5/2)
You'll need the help of a calculator to solve this. Over the interval 1 < c < 4, there are two solutions c ≈ 1.0525 and c ≈ 2.217.
-5r- (6r- 1)
Whats the answer?
what is the value of y=4x-6 when x=5?
Is the following shape a right triangle? How do you know?
O A. No, there is no right angle.
O B. Yes, two sides are perpendicular, and the side lengths fit the
Pythagorean theorem.
O C. No, the side lengths do not fit the Pythagorean theorem.
O D. There is not enough information to determine.
Yes, two sides are perpendicular, and the side lengths fit the Pythagorean theorem. The correct answer is option B.
What is a right-angled triangle?A right triangle is a triangle in which one of the angles is at a right angle or two of the sides are perpendicular, or more formally, an orthogonal triangle, formerly known as a rectangle triangle.
In the given figure two sides are perpendicular, and the side lengths fit the Pythagorean theorem. the figure is a right-angled triangle.
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anyone knows how to help me at all this questions is worth a good amount of my grade
Answer:
Step-by-step explanation:
ΔSVX ≅ ΔUTX Given
SV // TU Given
SV ≅ TU Corresponding part of congruent triangle
VUTS parallelogram Definition of parallelogram.
Hint: 1) If any one pair of opposite side is congruent and parallel, then the quadrilateral is parallelogram.
2) If two pair of opposite sides are parallel then it is a parallelogram.
4 x 2/4 as a mixed fraction
4 x 2/4
2/4 can be reduced to 1/2
Now you have 4 x 1/2
Multiply 4 by 1 then divide by 2:
4 x 1 = 4
4/2 = 2
The answer is 2
13. Find the arc length with the given information . centralangle = pi/4, radius = 6
14. Which angle has its terminal side in the second quadrant?
Answer:
it is 4th one for 14 it is 2nd one
Step-by-step explanation:
The arc length is 3π/2 and the angle with terminal side in its fourth quadrant is 7π/6.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We need to find the arc length with the given information . centralangle = π/4, radius = 6
The formula for the arc length of a circle is given by:
Arc length = radius x central angle
In this case, the central angle is pi/4 and the radius is 6. Therefore, the arc length is:
Arc length = 6 x (π/4) = (3/2)π
Option D is correct, the arc length is 3π/2
An angle is said to be in the fourth quadrant if its terminal side lies in the fourth quadrant of the Cartesian plane, which is the quadrant below the x-axis and to the right of the y-axis.
Since the fourth quadrant is to the right of the y-axis, the angle must have a positive x-coordinate
3π/4 has its terminal side in the second quadrant, so it is not the answer.
π/3 has its terminal side in the first quadrant, so it is not the answer.
5π/3 has its terminal side in the third quadrant, so it is not the answer.
7π/6 has its terminal side in the fourth quadrant, so the answer is (d) 7π/6.
Therefore, the angle with terminal side in its fourth quadrant is 7π/6.
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2x – 3y =-11
3x +2y =29
Answer:
(5,7)
did you need and explanation?
2 questions in 1
1. 3n for n=4
2. x + 8 for x=8
Answer:
2:16
Step-by-step explanation:
Answer:
1. 12
2.16
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
What is 2+1 -6 +29 x3
Answer:
84
Step-by-step explanation:
2+1-6+29*3
= 2+1-6+87
= 3-6+87
= -3+87
= 84
Find the volume of the rectangular prism.
Solve for y
Just ignore this - hhjjjxmznfncnf f cucbc
Answer:
Step-by-step explanation:
y/7.5=11/10
y=7.5(11)/10
y=8.25mm
Wayne started making oatmeal cookies at 1:50 PM. It took him 55 minutes to make the dough and 1 hour and 30 minutes to bake all of the cookies. What time was it when Wayne finshed making cookies?
Answer:
4:15
Step-by-step explanation:
1:50 + 55 mins
2:45 + 1 hr 30 mins
4:15
The total after-tax cost of a laptop computer is 1610.60 the local sales tax rate is 5.7% what is the retail pretax price
56⋅1011 = please anser
Answer:
It is 56,616
Step-by-step explanation:
Answer:
56,616
Step-by-step explanation:
You just type in "56 x 1011" into your calculator and then hit the equal sign and it gives you the answer.
I need help please!!
what is the time signature of Chua ay songaliya
Answer:
The time signature (also known as meter signature, metre signature, or measure signature) is a notational convention used in Western musical notation to specify how many beats (pulses) are contained in each measure (bar), and which note value is equivalent to a beat.Step-by-step explanation:
The time signature (also known as meter signature, metre signature, or measure signature) is a notational convention used in Western musical notation to specify how many beats (pulses) are contained in each measure (bar), and which note value is equivalent to a beat.Answer:
2/4
Step-by-step explanation:
Alicia borrowed $3000 from the bank at a rate of 12% simple interest per year. She earned 1440. How many years was the loan.?
Answer:
1440 $
Step-by-step explanation:
3000 - 100%
x - 12%
360 - 1 years
There are 154 males and i36 females participating in a marathon. What percent of the particpants are male?
Answer:
154 im pretty sure sorry if wrong Q^Q
Step-by-step explanation:
if Richard worked for 7 dollars and made 9 dollars and hour how much would he make?
Answer:
$63
Step-by-step explanation:
I believe you meant Richard worked for 7 hours and made $9 per hour.
In order to know how much Richard earned for 7 hours, you have to multiply Richard's salary rate with his number of working hours.
7 hours x 9 dollars/hour = $63Therefore, Richard earned $63 for his 7-hour work.
Additional Information
Another example is: if Richard worked for 10 hours, you just have to multiply his salary rate again to his number of working hours.
10 hours x 9 dollars/hour = $90Explain your answer !!
Will give brainlst
Answer:
(-2, 2)
Step-by-step explanation:
this is the point where y= -2x+1 meets y=2x+3
Pat bounces a basketball 25 times in 30 seconds.At that rate,approximately how many times will pat bounce the ball in 150 seconds?(help asap pls,I'll give first answer brainliest!)
a.
Which of the following would not be listed under cash outflows in a financial plan?
car payments
b. insurance premiums
c. interest earned
d. mortgage payment
Answer:
I think interest earned ❤️
Julie and her friends share some orange juice equally. Each person recieves 3/4 cups of juice. Which of the following shows a possible way that the juice was served?
4 cups of juice divided among 3 people
cups of juice divided among 3 people
cups of juice divided among 4 people
3 cups of juice divided among 4 people
0.25
______________________________________
Answer:
Step-by-step explanation:
3 cups of juice divided among 4 people
sean has1/5 of a cupcake and 1/5 of a large cake .Does the sum 1/5+1/5=2/5 make sense in this situation ? Explain
Answer:
FRIST 10
Step-by-step explanation:
OH WAIT NEVERMIND I DONT HOW TO DO THIS LOL
Answer:
yes it makes sense but the cupcake and cake thing is like km and cm no problem but
Step-by-step explanation:
Given: LM congruent NO , and angle M congruent and O
Answer: Answer in See step by step
Step-by-step explanation:
Statements Reasons
1. LM≅NO 1.Given
2.Angle M≅Angle O 2.Given
3.Angle LPM is congruent to Angle NPO 3. Vetical Angles Theorem
4.ΔMPL≅NPO 4. AAS
Miguel is conducting a probability experiment using a coin and a spinner shown
below.
1
2
3
4
if Miguel flips the coin and spins the spinner at the same time, which of these lists the
possible results of his experiment?
Answer:
Step-by-step explanation:
Answer:
{H1, H2, H3, H4, T1, T2, T3, T4}
find the indicated probability using the venn diagram
Answer:
.91
Step-by-step explanation:
P(AUB) = 50/55 = .91 .
I need some help to to solve each proportion - I want to be able to explain to my son how to do this properly. The math problem is- 4 over 6 = blank over 21 ?
Answer
The missing value is -14
Step-by-step explanation:
First you make a ratio or proportion: -4/6=x/21
Then you cross multiply
-4x21 which is -84 then 6 times x which is 6x then the equation becomes 6x=-84
from 6x you divide which becomes x=-84/6 which is -14
Pls give brainliest! have a good day I suggest a website that helps kids which is called Khan Academy. It is free and helps your kid study and learn! :)
More info:
A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."
Can you please explain how to evaluate 5⁴? I'm trying to learn!
Answer:
The answer is 625
Step-by-step explanation:
5^4 means you have to multiply 5 four times.
5 • 5 • 5 • 5
25 • 5 • 5
25 • 25
625
p explanation:
5^4 means you multiple 5 by itself 4 times like this:
5 x 5 x 5 x 5
unlike multiplying, exponents would mean how many times a number would be multiplied by itself.
What is the sales tax on a jacket priced at $675 if the sales tax rate is 6%? The sales tax is $
Answer:
$ 37.50
Step-by-step explanation:
We can rewrite this problem as: What is 6% of $625?
"Percent" or "%" means "out of 100" or "per 100",
Therefore 6% can be written as 6/100.
When dealing with percents the word "of" means "times" or "to multiply".
Finally, lets call the sales tax we are looking for "t".
Putting this altogether we can write this equation and solve for t while keeping the equation balanced:
t=6100×$625
t=$3750100
t=$37.50
Answer:
40.50
Step-by-step explanation:
Sales price x sales tax rate = sales tax
675 x .06 (6%) = 40.50