This question is designed to be answered with a calculator. which inequality compares the left (l), right (r), and trapezoidal (t) sum approximations of the area under the curve f(x) = 2 cos(2x) over the interval [0, pi/ 4] using 3 equal subdivisions?
a.) l < t < r
b.) r < l < t
c.) r < t < l
d.) t < r < l
The inequality compares the left (l), right (r), and trapezoidal (t) sum approximations of the area under the curve is C. r < t < l.
How to illustrate the inequality?From the information given, it should be noted that f'(x) is negative. Therefore, L > R. Also since f"(x) is negative, T > R.
f(x) = 2 cos 2x.
f'(x) = -4 sin 2x
f"(x) = -8 cos 2x
Therefore, the inequality compares the left (l), right (r), and trapezoidal (t) sum approximations of the area under the curve is r < t < l
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Convert the following decimal to a fraction. 0.425
Answer:
~17/40~
Step-by-step explanation:
A company is considering two different prize policies for a sweepstakes. In Policy A, the cost to enter is $5. and the overall win rate is 10%. 90% of the winners receive a product worth $10. 9.5% of the winners receive a product worth $50, and 0.5% of the winners receive $250 in cash. In Policy B, the cost to enter is $10, and the overall win rate is 15%, 80% of the winners receive a product worth $10, 18% of the winners receive a product worth $50, and 2% of the winners receive $250 in cash.
The company predicts that Policy A will attract 10.000 entries, and Policy B will attract 5000 entries. Which policy makes the largest proſt for the company? By how much?
a. Policy A, by 1500
b. Policy A, by 4000
c. Policy B, by 1500
d. Policy B, by 4000
An explanation would be really awesome!
The policy that makes the largest proſit for the company is Policy A, by $1500.
Which policy makes the largest proſIt?Profit is the amount paid by people to enter the sweepstakes less the amount they can win.
Policy A's profit: $5 - 0.1[(0.9 x $10) + (0.095 x $50) + (0.005 x $250)] = $5 - 1.5 = $3.5
$3.5 X 10,000 = $35,000
Policy B's profit:10 - 0.15[(0.8 x 10) + (0.18 x 50) + (0.02 x 250) = 10 - 3.30 = 6.7$6.7 X 5000 = $33500
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a term salinity refers to the amount of salt in water. the salinity of earths oceans is about 525 grams of dissolved salt for evert 15 kilograms of water. find the grams of salt for every gram of ocean water
Answer:
0.035 grams
Step-by-step explanation:
Grams of salt per gram of ocean water
Divide the amount of salt by amount of water525 g / 15 kg525 g / 15000 g [∴1 kg = 1000 g]0.035 / 1For every gram of ocean water, there is 0.035 grams of salt dissolved in it.
The salinity of earths oceans,
→ a = 525 g
Amount of water for the salinity,
→ b = 15 kg
→ b = 15 × 1000
→ [ b = 15000 g ]
Then find the grams of salt for every gram of ocean water,
→ a ÷ b
→ 525 ÷ 15000
→ 0.035 g
Hence, answer is 0.035 grams of salt.
What is the Lcm of 5 and 11
Answer:
55
Step-by-step explanation:
55
Answer:
55
Step-by-step explanation:
11×5=55.So 55 is the lcm of 5&11
A. 12
B. 24
C. 84
D. 288
4. How many ways can 3 identical green candles and 7 identical blue
candles be arranged in a row in any variation?
A. 21
B. 3,628,800 C. 30,240
D. 120
How many ways can 8 keys be arranged on a key ring with no chain?
Answer:
anything else you need me to bring anything for you to come over and watch the kids tonight and I will be there in about the work I do not have a good day at work love you too baby girl I love you too baby a
Caroline opens a saving account at her local bank. She plans to put 1/10 or her net paycheck in her savings account every week. In June her paychecks are $164.69, $177.86. $187.74 and $163.04 how much money did Caroline put in her savings account?
Answer:
So she has $50–$43.85 = $6.15 in her pocket and $25 in her savings account
Step-by-step explanation:
Enter the values needed to find the
length AB. (Simplify your answer.)
A (-5x, 4y)
AB = (3x)2 + ([?])2
D
E
C (7x, -1y)
Distance Formula
d = V(x2 - x1) + (72 - y)?
B (-2x,1-4y)
Answer: 8y
Step-by-step explanation:
The values needed to find the length AB will be;
⇒ AB = √(3x)² + (- 8y)²
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Given that;
The coordinate are,
⇒ A = (- 5x, 4y)
⇒ B = (- 2x, - 4y)
Now,
Since, We know that;
The distance between the points (x₁ , y₁) and (x₂, y₂) is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
So, The distance between the points (- 5x, 4y) and (- 2x, - 4y) is,
⇒ d = √ (- 2x - (- 5x))² + (- 4y - 4y)²
⇒ d = √(3x)² + (- 8y)²
Thus, The values needed to find the length AB is find as;
⇒ AB = √(3x)² + (- 8y)²
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what is x in 2(1-5x)+4=-8
Answer:
Fraction Form: x = 7/5
Decimal Form: x = 1.4
Mixed Number Form: x = 1 1/2
Step-by-step explanation:
The markup on a restaraunt meal is 250%. A meal costs $7.30 to produce. How much will the customer be charged before tax and tip.
Answer:
$25.55
Step-by-step explanation:
7.30*2.50=18.25
7.30+18.25=25.55
What is the value of the 3 in the following numbers?
a) 37
b) 389
b) 6.38
c) 2873
c) 0.048
2 What is the value of the 8 in the following numbers?
a) 0.8
3 What is the value of the 5 in the following numbers?
a) 573
b) 8596
b) 0.71
c) 0.54
c) 401
4 What is the value of the 1 in the following numbers?
a) 18 300
d) 6.13
d) 184 000
d) 3.85
d) 0.041
Answer:
a.tens
b.hundreds
b.tenths
c. ones
c
Match the graph
with its system.
a.
667
b.
c.
Syco
(x > 0
y 2-2
(y - x < 1
x < 3
x + y > 2
Sy < 2x + 1
(y 2 -x + 3
Sy = x <3
ly-x^2
10
d.
e.
Answer:
e
Step-by-step explanation:
The following graph represents the 2 equations :
y - x < 3y - x ≥ 2The correct option is (e).
1. Find the derivative of [tex]x^{2}-2[/tex] at [tex]$x=10$.[/tex]
Answer:
20
Step-by-step explanation:
d/dx ( x² - 2 )
= d/dx ( x² ) - d/dx ( 2 )
= 2x - 0
= 2x
= 2 * 10
= 20
20points please help
Answer:
I would say B is the answer! Sorry if I was late to this!
Step-by-step explanation:
Can I get a Brainliest please?? :)
Find the area of the sector.
Answer:
33.5
Step-by-step explanation:
60°÷360=0.16
60°/360° ×π×8²m
=33.5m²
Answer:
5.9 m²
Step-by-step explanation:
Area (shaded) = Area (sector) - Area (triangle)
Finding base of triangle
(b/2)² + (6.9)² = 8²b²/4 + 47.61 = 64b²/4 = 16.39b² = 65.56b = 8.09 (approx.)Solving
Area (shaded) = 3.14 x 64 x 60/360 - 1/2 x 8.09 x 6.9Area (shaded) = 200.96 x 1/6 - 3.45 x 8.09Area (shaded) = 33.49 - 27.91Area (shaded) = 5.58 ≅ 5.9 m²
What is the slope of the line that passes through the points (-7,-2) and
(-2,-22)? Write your answer in simplest form.
[tex](\stackrel{x_1}{-7}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-22}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-22}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{(-7)}}}\implies \cfrac{-22+2}{-2+7}\implies \cfrac{-20}{5}\implies -4[/tex]
Complete the frequency table using 6 intervals beginning with 1-15.
Answer:
1. 18 just + 6
Step-by-step explanation:
what is the measure of angle x
Answer:
Step-by-step explanation:
56 + 41 + x = 180
97 + x = 180
x = 83
(3^4/3^n)=3^6 what value of N makes equation true
Answer:
n = - 2
Step-by-step explanation:
[tex] \huge\bigg (\frac{ {3}^{4} }{ {3}^{n} } \bigg) = {3}^{6}[/tex][tex]\implies\huge 3^{4-n} = 3^6[/tex]Bases are equal, so exponents will also be equal.[tex]\implies\huge 4 - n = 6[/tex][tex]\implies\huge - n = 6 - 4[/tex][tex]\implies\huge - n = 2[/tex][tex]\implies\huge n = - 2[/tex]the diameter of a circle measures 20 cm. What is the circumference of the circle?
Step-by-step explanation:
the circumference of a circle is
2×pi×radius = pi×diameter
so, in our case
pi×20 = 62.83185307... cm
urgent***
Determine the zeros, sign and extreme values of the function y = -x³ + 8x²-16x.
Step-by-step explanation:
To find extreme values, take the first derivative
[tex]y = - 3 {x}^{2} + 16x - 16[/tex]
Solve the equation for x.
[tex]x = \frac{ - 16 + \sqrt{256 - 192} }{ - 6} [/tex]
or
[tex]x = \frac{ - 16 - \sqrt{256 - 192} }{ - 6} [/tex]
[tex]x = \frac{ - 16 + \sqrt{64} }{ - 6} [/tex]
or
[tex]x = \frac{ - 16 - \sqrt{64} }{ - 6} [/tex]
We then get
[tex]x = \frac{4}{3} [/tex]
or
[tex]x = 4[/tex]
So our extreme values occur at x=4/3 and x=4
Zeroes:
[tex] - {x}^{3} + 8 {x}^{2} - 16x[/tex]
[tex] - x( {x}^{2} - 8x + 16)[/tex]
[tex] - x(x - 4) {}^{2} [/tex]
[tex] - x = 0[/tex]
[tex](x - 4) {}^{2} = 0[/tex]
[tex]x = 4[/tex]
So we have a double root at 4, and a root of 0. We have two positive roots and one non negative root
End behavior:
Since we have a negative leading coefficient and a odd degree, as x becomes more positive, y will become negative and as x becomes more negative, y will become positive.
1. A team loses 20 yards and then they gain 7
yards. What integer represents the total yards
gained or lost?
Answer:
The team lost 13 yards
Step-by-step explanation:
They lose 20 then gain 7. so the equation would be 20-7=13
1. Make Sense of the Task
2. Representing & Solving the Task
3. Accuracy
4. Communicating & Reasoning
5. Proof of work! You can redo it the same way OR even better, use a totally different method!!
Work Sample Question:
Farmer John has a rectangular holding pen that measures 10 yards long and
5 yards wide to contain his cattle. He is acquiring more cattle from the
neighboring farmer and wants to add the same amount of fencing to each
side to create a new holding pen that encloses 176 square yards. How
much should FarmerJohn add on to each side of his existing holding pen to
achieve his goal?
Answer:
each side to the fence has 6 units added to have an area of 176
Step-by-step explanation:
Let me know if you need anything more !!
Happy to help :)
Mikayla is building a pyramid of paper cups. The bottom row has 61 cups while the top row has only one cup. If there are 16 total rows and the number of cups on each row represents an arithmetic sequence, find the total number of cups.
The number of cups will be equal to 496.
What is arithmatic progression?The sequence in which every next number is the addition of the constant quantity in the series is termed as the arithmatic progression
Here we have the data:-
The bottom row has 61 cups
If there are 16 total rows
The number of the cups will be calculated as:-
[tex]S_n=\dfrac{n(a_1+a_n)}{2}[/tex]
Here a1 is first term 1
an is last term 2
n is the total number of the rows
By putting the values in the question we will get:-
[tex]S_n=\dfrac{16(1+61)}{2}=\dfrac{16\times 62}{2}=496\ cups[/tex]
Hence the number of cups will be equal to 496.
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Quinn mailed four postcards that each cost $0. 25, five letters that each cost $0. 44, two large envelopes that each cost $0. 80, and one small package for $5. 10. Which cost on the list of mailing fees on Quinn’s receipt would skew the mean? the cost of a postcard the cost of a letter the cost of a large envelope the cost of the small package.
Answer:
The cost of the small package because...
Step-by-step explanation:
Cost of 1 postcards = $0.25
Cost of 4 postcards = 0.25 x 4 = 1
Cost of 1 letter = $0.44
Cost of 5 letters = 0.44 x 5 = 2.2
Cost of 1 large envelope = $0.80
Cost of 2 large envelopes = 0.80 x 2 - 1.6
Cost of 1 small package =$5.10
Since the cost of small package is highest
So, It will increase the mean
So, the cost of the small package will skew the mean
Find the value of x.
86
34°
X
x = [?]°
X
Answer:
in a triangle the sum of angles is 180
so 180-(86+34)=60
a 2 -gallon container of window costs 31.36. what is the price per cup
Answer:
0.98 $/cup
Step-by-step explanation:
The final answer asks for price/cup, as "per" means "divided by".
So, our final units will be in $/cup.
We are given that for every 2 gallons, it will cost $31.36.
In order to get from gallons to cups, we need to convert units.
In 1 gallon, there are 16 cups.
So, our conversion factor will be 16 cups/1 gallon.
[tex]\frac{31.36}{2} *\frac{1}{16} \\\\= 0.98[/tex]$/cup
Important things to note:
- With these types of problems, it makes it much easier if you just figure out what units you need in the final answer, and then use conversions and dimensional analysis to get the answer
What is the number of degrees
Answer:
Step-by-step explanation:
Remark
Since this is a multiple choice question, you need not worry excessively about solving the equation that sin(4x) and Cos(3x + 13) produce. It can be done, but you will spend a lot time and drink a lot of coffee doing it.
C
The wording of this problem is not the best. 13 is not in any way considered.
4x = 4*13 = 523x + 13 = 52.Not only are the two angles equal (52) but they add to 104 which is greater than 90.
11 is the next one you should look at
4*11 = 44
3*11 + 13 = 46
That gives you the right answer, but the question you have to ask yourself is are you answering the question? I don't think you are. The question is the number of degrees in the smaller angle. I think that means that you have already substituted a value for x.
I think the answer is C.
∆DEF is similar to ∆ABC and the scale factor from ∆ABC to ∆DEF is 2. In ∆ABC, the largest angle measures 82º. Which measurements below could represent the largest angle in ∆DEF? Select all that apply.
Answer:
B
Step-by-step explanation:
the scale factor of 2 means the sides of Δ DEF are twice those of Δ ABC.
However, corresponding angles remain congruent , then
largest angle in Δ DEF is also 82°
How to factorise x2+x+1
Answer:
x2- 2x+1 =x2-x-x+1
=x(x-1) -1(x-1)
=(x-1)(x-1)
We need to keep it this way as this is the simplest way of expressing its factors.
-1