Answer:
3/10 for the first and the second 5/9
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:
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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.
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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Area of triangle Question 4
Answer:
3sq units
Step-by-step explanation:
bxh = 2x3=6
6/2=3
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
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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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).
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
which figure is a convex polygon?
Answer:
A.
Step-by-step explanation:
Convex polygon
A polygon is a figure that has no curved lines. A convex polygons has no "caves."
In this instance, answer choices B, C, and D all have curved lines which means that they aren't polygons. Additionally, as an example of a concave polygon, answer choice D creates a sort of "cave."
Therefore, answer choice A is a convex polygon.
Hope this helps!
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?? :)
what is the measure of angle x
Answer:
Step-by-step explanation:
56 + 41 + x = 180
97 + x = 180
x = 83
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°
A pie shop sells 32 apple pies, 33 pumpkin pie,20 cherry pies, and 15 chocolate pies.What percentage of pies were sold were apples or cherry
The percentage of pies sold that were apples or cherry is 52%
How to determine the percentage of apples or cherry?The given parameters are:
Apple = 32Pumpkin = 33Cherry = 20Chocolate = 15The total number of pies is:
Total = 32 + 33 + 20 + 15
Evaluate
Total = 100
The percentage of apples or cherry is calculated as:
Percentage = (Apple + Cherry)/Total
So, we have:
Percentage = (32 + 20)/100
Evaluate the quotient
Percentage = 0.52
Express as percentage
Percentage = 52%
Hence, the percentage of pies sold that were apples or cherry is 52%
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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
(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]Complete the frequency table using 6 intervals beginning with 1-15.
Answer:
1. 18 just + 6
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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Convert the following decimal to a fraction. 0.425
Answer:
~17/40~
Step-by-step explanation:
Answer please please
Answer: the answer is b which is the second choice . as the second one is greater than the first one . ( <)
Step-by-step explanation: HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST . THANKS .
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 m²a 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
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:
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:
Help me find the circumference
Answer:
The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex]. We can then input the value and we get that [tex]C=2*\pi*3.3[/tex] and as we solve it more the final answer that we get is [tex]C=20.735[/tex].
Hope this helps! Let me know if you have any questions
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 height, x, of the equilateral triangle shown?
Answer:
C. 10in
Step-by-step explanation:
[tex]\frac{sinA}{a} = \frac{sinB}{b}[/tex]
[tex]\frac{sin60}{10} = \frac{sin60}{x}[/tex]
[tex]x[/tex]sin60 = 10 × sin60
[tex]x[/tex]sin60 = [tex]5\sqrt{3}[/tex]
[tex]x[/tex] = [tex]\frac{5\sqrt{3} }{sin60}[/tex]
[tex]x[/tex] = 10in
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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Draw a HF on the diagram that is parallel to AE and perpendicular to GF.
The line HF that is perpendicular to GF and parallel to AE is presented in the image uploaded.
What is perpendicular line?A perpendicular line is a line that intersects another line at 90 degrees or normal to the line.
What is a parallel line?A parallel line is a line that never intersect with another. In this type of line, the angle between the two parallel lines is zero.
Thus, the line HF that is perpendicular to GF and parallel to AE is presented in the image uploaded.
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