Answer:
500 ÷ 3650 = 0.13698630136986 = 13.698630136986%
A cylindrical well has a radius of 6 feet and a height of 12 feet. How many cubic feet of water will it take to fill the well?
Assume that π = 3.14 and round to the nearest tenth when necessary.
maybe 1375 cubic feet of water will take to fill the well
If an interval estimate is said to be constructed at the 90% confidence level, the confidence coefficient would be _____.
Using the z-distribution, the confidence coefficient for the 90% confidence interval is of 1.645.
What is the critical value for a 90% confidence interval?In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.95[/tex], and the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.
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This is for AP CALCULUS. I really need help on this. I’m trying to find the first and second derivative of these three functions.
Review Material:
[tex]\sqrt[n]{x^m} = x^{\frac{m}{n}}[/tex]
[tex]\frac{d}{dx}[x^n]=nx^{n-1}\\[/tex]
[tex]\frac{d}{dx}[\sin(x)]=\cos(x)\\[/tex]
[tex]\frac{d}{dx}[\cos(x)]=-\sin(x)\\[/tex]
[tex]\frac{d}{dx}[constant]=0\\[/tex]
Step-by-step explanation:
(a)
[tex]F(x) = -2\cos(x) +x^{\frac{4}{3}} -3e\\ \text{Note: 3e is a constant}\\F'(x) = 2\sin(x) + \frac{4}{3}x^{\frac{1}{3}}\\F''(x) = 2\cos(x) + \frac{4}{9}x^{-\frac{2}{3}}[/tex]
(b)
[tex]F(x) = x^{-3} + \frac{1}{2}x^2-\sin(x)\\F'(x)=-3x^{-4} + x - \cos(x)\\F''(x) = 12x^{-5} + 1 + \sin(x)[/tex]
(c)
[tex]F(x) = 2x^{-3}+x^{\frac{3}{4}}-4x\\F'(x) = -6x^{-4} + \frac{3}{4}x^{-\frac{1}{4}}-4\\F''(x)= 24x^{-5} - \frac{3}{16}x^{-\frac{5}{4}}[/tex]
35-40 evaluate the integral by interpreting it in terms of areas.
39. [tex]\int_{-4}^{3}\left|\frac{1}{2} x\right| d x[/tex]
The value of the definite integral corresponds to the total area of two triangles (see attached plot).
[tex]\displaystyle \int_{-4}^3 \left|\frac x2\right| \, dx = \dfrac12 \times 2 \times 4 + \dfrac12 \times 3 \times \dfrac32 = \boxed{\frac{25}4}[/tex]
Graph and label each figure and it’s image under the given translation. Give the coordinates of the image.
Answer:
New coordinates:
A'(-3, 3)
B'(4, -1)
C'(-2, 0)
Step-by-step explanation:
It tells you (x-3, y-4), which means you have to subtract 3 from every x coordinate, and 4 from every y coordinate.
Hope this helps <3
Answer:
See below ~
Step-by-step explanation:
New coordinates
A' = (0 - 3, 7 - 4) = (-3, 3)B' = (7 - 3, 3 - 4) = (4, -1)C' = (1 - 3, 4 - 4) = (-2, 0)hlp!
options:
A. [tex]x\leq -5[/tex]
B. [tex]x\geq -5[/tex]
C.[tex]x\geq 2[/tex]
D.[tex]x=4[/tex]
Answer:
Option B
x ≥ (-5)
Step-by-step explanation:
Given;-3(x + 4) ≥ x + 8So,
-3(x + 4) ≥ x + 8
-3x – 12 ≥ x + 8
Add both sides 12 we get,
-3x – 12 + 12 ≥ x + 8 + 12
-3x ≥ x + 20
Similarly, subtract x from both sides we get,
-3x – x ≥ x – x + 20
-4x ≥ 20
Then, divide both sides by (-4) we get,
-4x/(-4) ≥ 20/(-4)
x ≥ -5
Thus, The answer is x ≥ (-5).
Pls find equation of parabola
Answer:
y = - 3x² + 6x + 9
Step-by-step explanation:
given the zeros of a parabola x = a , x = b , then the factors are
(x - a) , (x - b)
here the zeros are x = - 1 and x = 3 , then
factors are (x + 1) and (x - 3)
the equation of the parabola is then the product of the factors, that is
y = a(x + 1)(x - 3) ← a is a multiplier
to find a substitute the point (0, 9 ) into the equation
9 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )
- 3 = a
then equation is
y = - 3(x + 1)(x - 3) ← expand factors using FOIL
= - 3(x² - 2x - 3) ← distribute parenthesis by - 3
y = - 3x² + 6x + 9
José tiene una tabla de: (x² -4x + 4) cm de largo y (x+4) cm de ancho ¿Cuál es el área de la tabla?
Answer:
x³ - 12x + 16
Step-by-step explanation:
(x² -4x + 4) × (x+4) =
= x³ + 4x² - 4x² - 16x + 4x + 16
= x³ - 12x + 16
Question 4 (Essay Worth 10 points)
(04.05 MC)
The graph represents the journey of a bus from the bus stop to different locations:
Bus Journey
Distance
(miles)
Time (hours)
Part A: Use complete sentences to describe the motion of the bus in parts 1, 2, 3, 4, and 5 of the journey. (4 points)
Part B: In which parts of the graph is the function increasing, decreasing, and constant? (4 points)
Part C: Is the graph linear or non-linear? Explain your answer. (2 points)
5
1 and 3 are increasing, 2 and 4 are constant, and 5 is decreasing. And the graph is non-linear.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
The graph represents the journey of a bus from the bus stop to different locations:
Complete sentences to describe the motion of the bus in parts 1, 2, 3, 4, and 5 of the journey.
1 and 3 show that the bus is going to the last station, 2 and 4 show the holding time of the bus at a station, and 5 shows that the bus is returning.
1 and 3 are increasing, 2 and 4 are constant, and 5 is decreasing.
The graph is non-linear.
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Find the volume of this triangular prism. Be sure to include the correct unit in your answer. 7m 5m 9m? Thank u!!
What is h(-8) for h(x) = x²
2
-x² +7x?
Answer:
8
Step-by-step explanation:
Re-write the equation:
h(x) = x² * 2 - x² -7x
If X is equal to -8, then we can re-write the equation as:
h(-8) = (-8)² * 2 - (-8)² - 7(-8)
Following P.E.M.D.A.S. we must first solve for the exponents:
h(-8) = (64) * 2 - (64) - 7(-8)
Then we need to solve the multiplication.
h(-8) = (128) - (64) - (-56)
Now, we solve for the addition/subraction.
h(-8) = (128) - (120)
Lastly...
128 - 120 = 8
This means that if h(-8), then H = 8
I think?
what is 4x^2 -40-120 is equivalent to
Answer:
Step-by-step explanation:
4x^2-40-120
4x^2-160
4x^2=160
x^2=40
sqrt40=6.32
Carl is wrapping present in the box shown. How much wrapping paper doe she need not including overlap
Answer:
164 [tex]in^{2}[/tex]
Step-by-step explanation:
We find the areas of all the faces
30 [tex]in^{2}[/tex]
30[tex]in^{2}[/tex]
40[tex]in^{2}[/tex]
40[tex]in^{2}[/tex]
12[tex]in^{2}[/tex]
12[tex]in^{2}[/tex]
add them all up to get 164[tex]in^{2}[/tex]
:)
Which of the following expressions is true?
2^4•2^4>2^7
3^2•3^6=3^7
4^3•4^5<4^8
5^2•5^3=5^6
Answer:
2^4•2^4>2^7
Step-by-step explanation:
Hope it helps you in your learning process.
which expression is equivalent to 2^2 x 2/24
a. 2^-2
b.2^-1
c.2^6
d.2^7
Answer:
noneStep-by-step explanation:
which expression is equivalent to 2^2 x 2/24
a. 2^-2
b.2^-1
c.2^6
d.2^7
2^2 * 2/24 =
4 * 2/24 =
4 * 1/12 =
1/3
then
1/3 = 0.33
find equivalent
a) 2^-2 = 0.25
b) 2^-1 = 0.5
c) 2^6 = 64
d) 2^7 = 128
Solve 12x + 6>9x+ 12.
Ο Α. x>6
Ο Β. x<2
Ο C. X>2
O D. X<6
Answer:
x>2
Step-by-step explanation:
-Subtract 6 from both sides
-Simplify
-Subtract 9x from both sides
-Simplify
-Divide both sides by 3
-Simplify
POINTS!!! Answer both 3 and 4 PLEASE
Answer:
yes not function because 1 is repeated
Julio says "If you subtract 16 from my number and multiply the difference by -3, the result is 69." What is Julio's number?
Julio's number is 3.
What is Algebra?
Algebra is a branch of mathematics that deals with symbols or variables and uses arithmetic operations (+, –, ×, ÷) to find the unknown quantities represented by these variables.
Let us consider the number is 'x'
Julio's number be,
-3(x-16)=69
x-16=-13
x= -13+16
x= 3
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Determine the next two terms in the arithmetic sequence.
5, 11, 17, 23,
The sequence is add 6 so the answer is 29 and 35
Answer:
Next two will be 41, 47
Step-by-step explanation:
5+6= 11
11+6= 17
17+6= 23
23+6= 29
29+6= 35
35+6= 41
41+6= 47
Answer:
29 and 39
Step-by-step explanation:
A box contains 6 black crayons, 4 blue crayons, 5 red crayons,3 yellow crayons, and 2 white crayons. One crayon is chosen at random. Write each probability as a fraction, a percent, and a decimal
The probability of getting black crayons is 0.3, blue crayons 0.2, red crayons 0.25, yellow crayons 0.15, and white crayons 0.1.
What is the probability?
Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
A box contains 6 black crayons, 4 blue crayons, 5 red crayons,3 yellow crayons, and 2 white crayons.
One crayon is chosen at random.
The total number of crayons = 20
The probability of getting black crayons
= 6/20
= 0.3
The probability of getting blue crayons
= 4/20
= 0.2
The probability of getting red crayons
= 5/20
= 0.25
The probability of getting yellow crayons
= 3/20
= 0.15
The probability of getting white crayons
= 2/20
= 0.1
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A cooler is filled with different juices. There are 6 bottles of juice:
1 orange juice, 2 apple juice, 2 cranberry juice, and 1 grape juice.
What is the probability of randomly choosing 1 orange juice and then 1 apple juice
without replacing the first juice?
Answer:
1/15
Step-by-step explanation:
Total = 6 bottles
1 orange and apple
Without replacement:
P(orange and apple) = 1/6 x 1/5 = 1/15
Answer: Probability = 1/15
Which two numbers on the right will you use to calculate 3 x 9?
Answer:
3×9=27 the two numbers right to use is 2and7
Solve for x: 2x² - 7x - 30 = 0
Answer:
x=-10
Step-by-step explanation:
2x²-7x=0+30
2x²-7x=30
4x-7x=30
-3x=30
x=-10
Answer:
Step-by-step explanation:
(2x + 5)(x - 6) = 0
2x + 5 = 0
x = -5/2
x - 6 = 0
x = 6
You decide that you will only sell two different types of frozen treats in your
ice-cream cart. You use the following criteria to help you make your decision:
• You will purchase 550 frozen treats for your cart.
• You have a budget of $450.
• Your goal is to make a profit of at least $700.
Which two frozen treats will you sell in your ice-cream cart, and how many of
each treat will you purchase? Show that your combination of frozen treats
meets the criteria.
Based on the given scenario above, the purchase decision will be I will chose Ice cream bar fruit and frozen bar fruit.
What is Purchase decision?This is know to be the thought method or act that helps a consumer to identify a need, gather options, and choosing a given product and brand.
Note that Based on the given scenario above, the purchase decision will be I will chose Ice cream bar fruit and frozen bar fruit.
If I am to purchase 550 frozen treats, I will buy:
Ice cream bar fruit = 300
Frozen bar fruit = 250
Therefore, for Ice cream bar fruit , it will be = amount x cost price
300 x 0.85 = 255
For Frozen bar fruit = 250 x 0.50
= 125
Add up the total cost= 255 + 125
Total amount spent will be= 380
Therefore we can see that the total price spent falls within the budget allocated and so I will choose both Ice cream bar fruit and frozen bar fruit.
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A recipe requires 1/4 cup of oil for every 2/3 cup of water. How much oil (in cups) is
needed per cup of water?
Answer:
3/8 cup of oil
Step-by-step explanation:
divide 1/4 by 2 to get how many are needed for 1/3 cup of water, and times 3 to find one cup of water.
Please Help its a math problem amber has done 3 projects this year in Social Studies and wants a mean project grade of 92. Her first three project grades are 92, 93 and 89. What does she need to make on the fourth project to meet her goal?
Question 5 options:
94
90
95
92
Answer:
a) 94
Step-by-step explanation:
92 + 93 + 89 + 94 = 368/4= 92
Answer:
94
explanation:
because common sense
2. Every morning, Desiree walks around her pool to get some morning exercise. She doesn't remember
the width of the pool, but she knows that the length of the pool is three less than twice the width.
Her father tells her that when he built the border of the pool, it had a perimeter of 48 feet. What is
the width of the pool?
can someone help me here
NONSENSE=REPORT
topic: Circles and its Concept
Answer:
Step-by-step explanation:
Circumference of a circle: 2πrArea of a circle: πr²π = 3.14r (radius) = d/21. Circumference: 2(3.14)(4.2) = 26.38 in.
Area: πr² = 3.14(4.2)² = 55.39 in.²
2. Circumference: 2(3.14)(1) = 6.28 m.
Area: πr² = 3.14(1)² = 3.14 m.²
Hope this helps!
what is the absolute vale of |35|
Answer:
Absolute value of any number is positive. so the absolute value of (-35) is 35.
Step-by-step explanation:
216−−−√3 radical?? a little lost (Lol)
[tex]\sqrt[n]{3}[/tex] is 216−−−√3 radical: Yes because of the √
Meaning of RadicalA radical in mathematics can be defined as the square root of a number. It can also be said to be the opposite of exponent.
The symbol of a radical is √ also known as the square root.
Radicals are really important in mathematics as they help us find the nth term of any number.
We can conclude by saying that 216−−−√3 is a radical, because the radical sign is carried by 3.
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