Work Shown:
SA = surface area of cone
SA = pi*r^2 + pi*r*sqrt(r^2 + h^2)
SA = pi*5^2 + pi*5*sqrt(5^2 + h^2) ... plug in r = 5
SA = pi*5^2 + pi*5*sqrt(5^2 + 12^2) ... plug in h = 12
SA = pi*25 + pi*5*sqrt(169)
SA = 25pi + 5pi*13
SA = 25pi + 65pi
SA = 90pi .... exact surface area in terms of pi
SA = 282.743338823081 .... see note below
SA = 282.7
note: this is the approximate surface area. I used the calculator's stored value of pi, rather than something like pi = 3.14; that way the surface area is as accurate as possible. Your teacher may want you to use pi = 3.14 though, which is why its a good idea to ask and clarify.
Consider the polynomial function g(x)=5x^6+x^5+9x^3-12x-125 What is the end behavior of the graph of g?
Answer:
As x —> infinity, g(x)—> infinity, and as x —> Negative infinity, g(x) —> Infinity
Step-by-step explanation:
Because
The end behavior of the graph will be as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.
What is a polynomial function?A quadratic, cubic, quartic, and other functions involving only non-negative integer powers of x are examples of polynomial functions. We can define a polynomial's degree and provide a generic definition for it.
A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
The given function is g(x)=5x ⁶+x⁵+9x³-12x-125 will have the end behavior of the graph as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.
Therefore, the end behavior of the graph will be as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.
To know more about polynomial functions follow
https://brainly.com/question/2833285
#SPJ2
Using six random samples, the average number of catfish in the samples was 5.7. If the total population of fish in the pond is 200, the proportion of catfish in the pond will be 5.7 20 = x 200 . What is the predicted number of catfish in the pond?
Answer:
The predicted number of catfish in the pond is 57.
Step-by-step explanation:
We are given that the average number of catfish in the samples was 5.7. If the total population of fish in the pond is 200, the proportion of catfish in the pond will be 5.7/20 = x/200.
We have to calculate the predicted number of catfish in the pond.
The given proportion to us is;
[tex]\frac{5.7}{20}=\frac{x}{200}[/tex]
Cross multiplying both the fractions we get;
[tex]5.7 \times 200=x \times 20[/tex]
[tex]\frac{57}{10} \times 200=x \times 20[/tex]
[tex]{57} \times 20=x \times 20[/tex]
[tex]x = \frac{57 \times 20}{20}[/tex]
[tex]x = 57[/tex]
So, the predicted number of catfish in the pond is 57.
Answer:
57
Step-by-step explanation:
Big brain.
Given that P(B|A)=0.88 and P(A)=0.46, what is P(B AND A)? Round to three decimal places.
===============================================
Work Shown:
The notation P(B|A) has a vertical line separating the B and A
Given values
P(B|A) = 0.88P(A) = 0.46----------
P(B|A) = P(B and A)/P(A) ... conditional probability formula
P(B and A) = P(B|A)*P(A) ... solve for P(B and A)
P(B and A) = 0.88*0.46 ... plug in given values
P(B and A) = 0.4048
P(B and A) = 0.405 .... rounding to three decimal places
This is the same as P(A and B).
Whoever answers this fully will get brainliest. Part A: Using the graph above, create a system of inequalities that only contains points C and F in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A. Part C: Chickens can only be raised in the area defined by y > −4x + 3. Explain how you can identify farms in which chickens can be raised.
Answer:
Step-by-step explanation:
a. the inequality is x+y >= 2 (red line) that keeps onlythe two farms in the region.
b. substituting the coordinates of the farms in the inequality and see if they are satisfied:
C(2,2) 2+2 = 4 > 2 checks
F(3,4) 3+4 = 7 > 2 checks.
The other farms will not , for example,
D(1,-2) 1-2 = -1 < 2 does not check.
...
c. y > -4x + 3 is shown in blue.
Farms that satisfy given inequality can raise chickens, i.e. to the right of the blue line, or farms C,E and F.
If necessary, we can again check by the coordinates as in part b.
C(2,2) -4(2) + 2 = -8+2 = -6 y=2 > -6, so checks.
...
Solve this system using the substitution method: y = 6x – 5; y = (2/3)x + 1
Answer:
x = 1.125
Step-by-step explanation:
6x – 5 = (2/3)x + 1
6x - (2/3)x = 1 + 5
(16/3)x = 6
x = 9/8
x = 1.125
What are the zeros of the polynomial function f(x) = x3 − x2 − 12x?
Answer:
x = 0, x = 4, x = -3
Step-by-step explanation:
Factor out the x, which makes it x(x^2-x-12)
Then it will be x(x-4)(x+3)
x = 0
x - 4 = 0, x = 4
x + 3 = 0, x = -3
simplify 2^4×2^3/2^5×2^4 leaving your answer in index form
Step-by-step explanation:
[tex]\frac{2^4 * 2^3}{2^5 * 2^4}[/tex] [tex]\frac{2^(4+3)}{2^(5+4)}[/tex] [tex]\frac{2^7}{2^9}[/tex] 2^(7-9) 2^(-2)Answer:
Your correct answer is 64.
Step-by-step explanation:
2^4 × 2^3/2^5 × 2^4 = 64
-125>-135 divide each side by -5 what is the resulting true inequality
Answer: 25<27
Step-by-step explanation:
-125/-5=25
-135/-5=27
25<27
Answer:
[tex]\boxed{25<27}[/tex]
Step-by-step explanation:
[tex]-125 > -135[/tex]
Dividing both sides by -5
=> [tex]\frac{-125}{-5} < \frac{-135}{-5}[/tex]
=> [tex]25 < 27[/tex]
10. The sum of four consecutive integers is at least 18. What's the smallest consecutive integer to make this statement true?
O A.3
O B.4
O C.5
O D.8
Answer:
A. 3
Step-by-step explanation:
Let the integers be
x
(x+1)
(x+2)
(x+3)
Sum the integers
We have,
x+(x+1)+(x+2)+(x+3)=18
x+x+1+x+2+x+3=18
4x+6=18
Subtract 6 from both sides
4x-6=18-6
4x=12
Divide both sides by 4
4x/4=12/4
x=3
The smallest integer which is x is equal to 3
Check:
3+4+5+6=18
Which statement about this figure is true?
I'd have to say it Has Reflectional Symmetry.
Honeydew lemons sell in a market place for $24.95 per box. One box contains 9 melons. How much would you have to pay for 17 melons?
Answer:
47.13 for 17 melons
Step-by-step explanation:
We can use a ratio to solve
24.95 x dollars
---------------- = ----------------
9 melons 17 melons
Using cross products
24.95 * 17 = 9x
Divide by 9
24.95 * 17/9 = x
47.127777777 = x
Rounding to the nearest cent
47.13 for 17 melons
Answer:
$47.12
Step-by-step explanation:
We know that 1 box has 9 lemons and each box is $24.95. Therefore, 1 lemon costs 24.95/9 dollars. That leads us to know that 17 lemons cost (24.95/9 * 17). Once we plug that into the calculator and round to the nearest hundreth place, we get $47.12.
What is the area of the obtuse triangle below?
다
Tom counted the number of cards in his collection for 10 weeks. By week 5, he had collected 12 cards. How many cards had he collected by week 9? 5 18 4 20 Tom counted the number of cards in his collection for 10 weeks. By week 5, he had collected 12 cards. How many cards had he collected by week 9? 5 18 4 20 Graph showing how many cards were collected each week. Vertical axis labeled Cards collected. Coordinate pairs plotted at 1,4, 2,6, 3,8, 4,9, 5,12, 6,13, 7,14, 8,15, 9,18, 10,20.
Answer:
20
Step-by-step explanation:
12/5 means roughly 2 cards per week
In 4 weeks he would get 8 additional cards
12+8=20
Hope this help!
Can I pls have help with question 8 and 9
Answer:
2.88 kilometers
Step-by-step explanation:
8. If the round trip took 17/20 of an hour.
How long does it take in minutes?
1 hour=60 minutes
17/20*60
=17*3
=51 minutes
9. Calculate the distance between the supermarket and Hilary's house
Speed=distance/time
Distance=speed × time
Total speed=30km/h+12km/h
=42km/h
Total time=17/20 hour
Time spent for 30km/h=30/42*17/20
=510/840
=0.61h
Time spent for 12km/h=12/42*17/20
=204/840
=0.24h
Supermarket to Hilary's house=12km/h
Distance=speed × time
=12×0.24
=2.88 kilometers
pls hurry the answer is not 36.......Given a * b=ba−ba+ab, find (2*3)×(3*2).
Answer:
36
Step-by-step explanation:
In the above question, we have been given a rule to follow
Given a * b = ba−ba+ab
We are to find (2*3)×(3*2)
Let simplify each bracket first
a * b = ba−ba+ab
2*3, a = 2, b = 3
2*3 = 3×2 - 3×2 + 2×3
= 6 - 6 + 6
= 6
a * b = ba−ba+ab
3*2, a = 3, b = 2
3*2 = 2×3 - 2×3 + 3×2
= 6 - 6 + 6
= 6
(2*3)×(3*2)
= 6 × 6
= 36
The answer is 36
I NEED THIS DONE ASAP!!!! WILL MARK BRAINLIEST
Answer:
The lines are NOT perpendicular because the slopes are not negative reciprocals.
Step-by-step explanation:
For two lines to be parallel, they must have the same slopes. For two lines to be perpendicular, they must be negative reciprocals.
In this case, the two slopes are simply reciprocals; they are not negative reciprocals. And so, the lines are NOT perpendicular because the slopes are not negative reciprocals.
Hope this helps!
can a quadrilateral be both a rectangle and a rhombus
Answer:
Yes
Step-by-step explanation:
Rules for a rectangle: 4 90 degree angles
Rules for a rhombus: 4 sides of equal length
A square is a quadrilateral with 4 angles of 90 degrees and 4 sides of equal length.
Answer:
Hey there! The answer to your question is yes.
Step-by-step explanation:
Work: A quadrilateral has 4 sides. Both rectangle and rhombus has 4 sides so the answer would be yes
Hope that helps!
By: xBrainly
what is the quadratic equation?
Identify the range of the function shown in the graph.
A. y> 0
B. O sys5
C. -5 sys5
D. y is all numbers.
Answer:
u should take a screenshot so i can better explain
Step-by-step explanation:
the graph of y=f(x) is shown on the grid
Answer:
look below
Step-by-step explanation:
The equation of graph g(x) = f(-x) as it has been rotated along y-axis and the maximum coordinates of g(x) is (-3, 4).
What is a function?A function can be thought of as output for the given set of inputs. The output is called the dependent variable and the inputs are called the independent variable.
We know when we rotate a function along the y-axis sign of x changes.
Given a function y = f(x) after rotation along y-axis it becomes y = f(-x) = g(x)
and if the given function is odd f(-x) becomes -f(x).
Also given that the maximum point of f(x) = (3, 4).
∴ Function g(x) will have maximum at coordinates (-3, 4).
learn more about functions here :
https://brainly.com/question/12431044
#SPJ2
The rules of a contest say that there is a 5% chance of winning a prize. 400 people enter the contest. Predict how many people will win a prize.
Answer:
20 people
Step-by-step explanation:
In this problem, you are solving for 5% of 400. All percentages are out of 100, meaning 5% equals 0.05 because 5 ÷ 100 = 0.05
1. Multiply 400 by 5% (0.05)
400 · 0.05 = 20 people
Answer:
20 people will win
Step-by-step explanation:
i used a notes and google to answer this :)
which best describes the main source of energy in the united states
Answer: B) Culture B
Step-by-step explanation:
As culture B doubles every hour you would have over 2.6 million by hour 18, far, far more than culture A, which increases by 1.5x each hour, that would only become 1.4 million.
Which interval would not be used for the stems of a stem-and-leaf plot? 10 100 1 5
Answer:
i think it's 100
Step-by-step explanation:
100 is the interval which would not be used for the stems of a stem-and-leaf plot.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
In a stem-and-leaf plot, the stem is typically the leftmost digits of a number and the leaf is the rightmost digit.
The stem represents the largest common place value of the numbers being plotted.
If the data set is {12, 15, 21, 26, 30, 31, 35, 38}, the stem would be the tens place and the leaf would be the ones place.
The stem values would be 1, 2, 3, and 4.
Therefore, the interval for the stems should be determined by the range of the data set.
Hence, 100 is the interval which would not be used for the stems of a stem-and-leaf plot.
To learn more on Statistics click:
https://brainly.com/question/30218856
#SPJ3
Consider the system of equations.
y = 3x + 2
y=-fx-4
Explain why these particular equations can be graphed
immediately
Answer:
Because these are in slope-intercept form which is much easier because y=mx+b means that m=the slope, and b=y intercept so all your information is laid out in front of you.
Step-by-step explanation:
Use the graph to approximate the ordered pair where the exponential function begins to exceed the quadratic function.
the graph of an exponential function f of x equals two and two tenths to the power of x minus 7 tenths and a quadratic function g of x equals one eighth times x squared plus 2 times x plus 8
Answer:
(4.462, 19.411)
Step-by-step explanation:
From the description, the functions are:
f(x) = (11/5)^(x - 7/10)
g(x) = 1/8x² + 2x + 8
(Notice that 2 2/10 is equivalent to 22/10 = 11/5)
In the picture attached, the plot of the functions is shown. The exponential is in red and the quadratic is in blue. The exponential function begins to exceed the quadratic function from point (4.462, 19.411)
It's B (3.5, 17)
I don't know how that other guy got that but for me it's (3.5, 17) since I got it right.
The corners of a square are cut off two centimeters from each corner to form an octagon. If the octagon is 10 centimeters wide, what is its area?
Answer:
Step-by-step explanation:
Area of octagon = area of square - area of 4 triangles that are formed in four corners
Area of square:
Side = Width of the octagon = 10 cm
Area = side * side
= 10 * 10
= 100 cm²
Area of triangle:
Base = 2cm
height = 2 cm
Area =[tex]\frac{1}{2}b*h[/tex]
=[tex]\frac{1}{2}*2*2[/tex]
= 2 cm²
Area of octagon = 100 - 2 = 98 cm²
12/ y + 8 = 4/9 Thats the question. Im dyin for help. :)
Answer:
-1 10/17
Step-by-step explanation:
Answer:
y = 1 10/17
Step-by-step explanation:
The LCD is 9y. Multiply all three terms by 9y:
(9y)(12) (9y)(4)
----------- + 8(9y) = -----------
y 9
This reduces to 108 + 72y = 4y, or 108 = -68y
Dividing both sides by 68, we get y = 1 10/17
Help pleaseeeeeeeeeeeeee and write it descriptively
Answer:
14) [tex]\frac{1}{2} n-1[/tex] (half of n is [tex]\frac{1}{2} n[/tex] and subtract that with 1)
15) 3o+4 ( multipy o with 3, it becomes "3o" and add that with "4")
16) 5p-2 (same concept as No.15)
17) 7+r ( add 7 with "r")
18) s+7 (same concept with No.18)
19) t-10 (subtract 10 from "t")
20) 10-u ( subtract "u" from 10)
21) 2v ( multiply 2 with v)
22) 2w (same concept as No.21)
23) [tex]\frac{x}{5}[/tex] (divide x with 5 and show the result in fractions)
24) [tex]\frac{5}{y}[/tex] ( divide 5 with y and show the result in fractions)
Tip : Alphabets and numbers never combine unless you multiply them with it (eg. 3*x = 3x) but ( 3+x stays like that ).
helppppp me answer this plz
Answer:
Green: 50%
Purple: 25%
Black: 25%
Step-by-step explanation:
Well, the circle has 4 equal sections.
2 are green
1 is purple
1 is black
To find the probability of the spinner landing on each section we make a fraction.
Green)
2/4 simplified,
1/2, as a percent is 50%
Purple)
1/4,
1 divided by 4 = .25
To make that into a percent we move the decimal 2 places to the right -> 25%
Black)
1/4
1 divided by 4 = .25 as a percent 25%
Write the interval {x|1 < x < 3} as an i inequality
and using interval notation.
Answer:
1 < x < 3
(1 , 3)
Step-by-step explanation:
We have been provided with a set that is
{x|1 < x < 3}
We have to write it in both as an inequality and also in the form of interval notation.
The inequality can be found easily by just looking at the given set. It states that the set contains x, such that x is greater than 1 and x is smaller than 3, so the inequality can be written as:
1 < x < 3
To write in interval notation, we use brackets, As both 1 and 3 are not included, we'll use round brackets to show the interval.
(1 , 3)