Answer:
20 units
Step-by-step explanation:
Volume of a cylinder = πr²h
V = πr²h
height, h = 7
V = π * r² * 7
V = 8792
8792 = 21.991148 * r²
r² = 8792 / 21.991148
r² = 399.79722
r = √399.79722
r = 19.99unit
r = 20 units
evaluate the intergral2x(xsquared+3)exponent 4
Answer:
(x^2+3)^5/5 + C
Step-by-step explanation:
Here substitute u = x^2 + 3 , du/dx = 2x ---> dx= 1/2x du
Then: integral (u^4) du
Apply power rule: u^5/5
Then replace the substitution u=x^2+3 in u
= (x^2+3)^5/5 + C
The trapezoid below is formed from two triangles and a rectangle. What is the area of the trapezoid?
9 cm
3 cm
6 cm
3 cm
A 81 cm 2
B 108 cm 2
C 67.5 cm 2
D 54 cm 2
Answer:
A. 81 cm^2
Step-by-step explanation:
9*6 = 54
9*3 = 27
54+27 = 81
Anyone know how to answer this question
9514 1404 393
Answer:
(x +6)^2 +(y -10)^2 = 225
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)^2 + (y -k)^2 = r^2
where the center is (h, k) and the radius is r.
The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.
((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)
The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.
(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2
(x +6)^2 +(y -10)^2 = 81 +144 = 225
The equation of the circle is ...
(x +6)^2 +(y -10)^2 = 225
If f(x) = x - 4 and g(x) = 3x + 5, find (f + g)(x).
Answer:
(f + g)(x) = 4x + 1
Step-by-step explanation:
(f + g)(x) = f(x) + g(x) = x - 4 + 3x + 5 = 4x + 1
A picture 10 feet long is to be centered on a wall that is 14 feet long. How much space is there from the edge of the wall to the picture?
Answer:
4 feet is left in the wall
Step-by-step explanation:
If something is 1 foot and it’s supposed to be 2 feet, how much space is left? 1 foot, therefore you have to subtract what you want from what you have.
Answer:
2 ft.
Step-by-step explanation:
14 - 10 = 4.
4/2 = 2
You divide beacuse theres space on botrhsides of the painting.
A full bottle holds 1/4gallon of juice, If of3/5
the juice has beenpored how much
juice is left in the bottle?
Answer:
1/10 gallon
Step-by-step explanation:
2/5 left of 1/4 gallon
2/5 x 1/4 = 2/20 = 1/10 gallon
I need help with slopes!!
Answer:
The slope of this line is -4
ixllllllllllllllllllll
Answer:
the answer is 7 feet
Step-by-step explanation:
28/4=7
What is the volume? 3 m 1 m cubic meters
Answer:
9 cubic meters
Step-by-step explanation:
V = lwh
V = 1 by 3 by 3
Answer:
9 cubic meters
Step-by-step explanation:
1x3x3=9
A bookstore had 81 copies of a magazine, Yesterday the bookstore sold 7/9 of these copies. How many copies were sold yesterday?
Answer: 63 copies were sold yesterday.
Step-by-step explanation: To find how many copies were sold yesterday, simply multiply 81 by 7 which is 567. Then, divide 567 by 9 which is 63.
Devonte is 7 years older than Hanna. In 7 years the sum of their ages will be 83. How old is Devonte now?
Answer:
Hannah = 34 and 1/2
Devonte = 41 and 1/2
Step-by-step explanation:
Hanna = x
Devonte = x+7
x+x+7=83-7
2x+7=76
2x=76-7
2x=69
x=34.5
Hannah = x = 34.5
Devonte = x+7 = 41.5
PLEASE HELP ASAP GEOMETRY I AM LITERALLY DYING!! 100 POINTS REAL ANSWERS ONLY OR YOU WILL BE REPORTED AND GET NO POINTS!
Let’s design a new ferris wheel!! Create a sketch of a new Ferris wheel. This new ferris wheel must have an arc length measuring 3 25π feet. What is the equation of your new ferris wheel if the center must be at least 60 feet from the ground? Be sure to show and explain all work.
9514 1404 393
Answer:
x^2 +(y -61)^2 = 625/36
Step-by-step explanation:
The graph of the above equation is attached.
If the circumference of the wheel is 25π/3 feet, the diameter is ...
d = C/π = (25/3π)/π = 25/3 . . . feet, about 8.33 feet
The radius will be half that value, or 25/6 feet.
For a center point (h, k) and radius r, the equation of a circle is ...
(x -h)^2 +(y -k)^2 = r^2
You want the center to be more than 60 feet from the ground, so we can make it be 61 feet. The horizontal location is not specified, so we can make it zero.
This means we apparently want the equation for a circle of radius 25/6 feet with a center that is (x, y) = (0, 61). The equation of this circle is ...
x^2 +(y -61)^2 = 625/36
Please answer soon
(2x+5)37 what is x
Answer:
74 x + 185
Step-by-step explanation:
Step-by-step explanation:
(2x+5)+37 - multiply 37 by 2x and then 37 by 5
which gives you a answer of 74x+185
Helpppppppp math pls I need help asap
I don’t know how to do this at all
9514 1404 393
Answer:
A) down
B) 25 m; 200 m/s
C) (20.41, 2065.82)
Step-by-step explanation:
When you are first introduced to equations for ballistic motion, you may be told that the formula is ...
h(t) = -4.9t² +v₀t +h₀ . . . . . height in meters at time t seconds
where v₀ is the initial upward velocity in meters per second, and h₀ is the initial height in meters.
When you are first introduced to quadratic equations, and the vertex form in particular, you may be told that the form is ...
f(x) = a(x -h)² +k . . . . . . . vertex (h, k) and vertical scale factor 'a'
When the scale factor (or leading coefficient) is negative the graph of the parabola opens downward. When it is positive, the graph opens upward.
Knowing these things, you are prepared to match the given equation to these patterns.
__
Part A: We observe that the leading coefficient of the function (-4.9) is negative, so the parabola opens down.
__
Part B: The constant in the first given equation is 25, so the initial height is 25 meters.
The coefficient of t in the first given equation is 200, so the initial velocity of the rocket is 200 m/s.
__
Part C: The vertex can be read from the second equation as ...
(h, k) = (20.41, 2065.82)
Helpp!!! I’ll mark as brainlistt
Find the Mean, Median, Mode and Range of the following data. 17, 11, 12, 8, 16,6
Answer:
Mean: 11.822.
Mode: 17,11,12,8,16,6.
Median: 12.
Step-by-step explanation:
Hope this helps! The mode is the number that occurs most in the set and since they all show up once the mode is all of them.
Answer and explain deeply thank you so much! I’ll mark brainliest
An object travels along a horizontal straight path at a constant rate. The object travels 1/2 of the
length of the path in 3/4 second. At that rate, how many seconds does it take the object to travel the
entire length of the path?
Answer:
1.5 seconds
Step-by-step explanation:
Given that,
The object travels 1/2 of the length of the path in 3/4 second.
We need to find the time it takes the object to travel the entire length of the path.
1/2 of length = 3/4 seconds
Entire length,
[tex]=\dfrac{3}{4}\times 2\\\\=1.5\ s[/tex]
So, it will take 1.5 seconds to cover the entire length of the path.
An initial investment of $2,000 earns 7% interest compounded continuously. What will the investment be worth in 17 years? (Round your answer to the nearest cent.)
Answer:
Future value, A = $6,317.6
Step-by-step explanation:
Given the following data;
Principal = $2,000
Interest rate = 7%
Time = 17 years
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{100})^{t}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] A = 2000*(1 + \frac{7}{100})^{17}[/tex]
[tex] A = 2000*(1 + 0.07)^{17}[/tex]
[tex] A = 2000*(1.07)^{17}[/tex]
[tex] A = 2000 * 3.1588 [/tex]
Future value, A = $6,317.6
I need help please asap......................
Answer:
hi
Step-by-step explanation:
The chair of the operations management department at Quality University wants to construct a p-chart for determining whether the four faculty teaching the basic P/OM course are in control with regard to the number of students who fail the course. Accordingly, he sampled 100 final grades from last year for each instructor, with the following results? What is the estimate of the mean proportion of failures for these instructors?
INSTRUCTOR NUMBER OF FAILURES
Prof. A 13
Prof. B 0
Prof. C 11
Prof. D 16
Answer:
D. 16
Step-by-step explanation:
A quality analyst wants to construct a control chart for determining whether three machines, all producing the same product, are under control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results:
MACHINE MEASUREMENTS
#1 17 15 15 17
#2 16 25 18 25
#3 23 24 23 22
9+99999+99999-9999999999+9999999
Answer:
-9989799993
Step-by-step explanation:
Put it in a calculator
Ty for points
Answer:
Step-by-step explanation:
-989,799,993
can you do this math test for me i need it done by 4:00
Answer:
14. x=1, x=−9
x^2 + 8x + 20 = 29
x^2 + 8x + 4^2 = 9 + 4^2
(x + 4)^2 = 25
x + 4 = ± 5
15. x = -1/2, x = -3/2
4x^2+8x+3=0
x = -8 ± √8^2-4x4x3/2x4
x = -8 ± √64-4x4x3/2x4
x = -8 ± √64-16x3/2x4
x = -8 ± √64-48/2x4
x = -8 ± √16/2x4
x = -8 ± √4/2x4
x = -8 ± √4/8
x = -4/8
x = -1/2
x = -12/8
x = -3/2
16. -36
Use the values of a, b, and c to find the discriminant.
17. x=2, x=−2
3x^2 + 5 = 17
3x^2 + 5 - 17 = 0
3x^2 - 12 = 0
x^2 - 4 = 0
(x−2)(x+2)=0
x=2 x=−2
18. x=12
, x=−12
x^2 = 144
x^2 - 144 = 0
(x−12)(x+12)=0
x=12,
x=−12
19. x=2√5+3, x=3−2√5
x−3=2√5
x−3=−2√5
x−3−(−3)=2√
5−(−3)
x−3−(−3)=−2√5−(−3)
x=2√
5−(−3)
x=−2√5−(−3)
x=2√5+3
x=3-2√5
20. t = -√24-h/4+1, t = √24-h/4+1, h≤24
Word bank:
A) zeroes
B) axis of symmetry
C) y-value of the vertex
Step-by-step explanation:
I hope this helps!
Could I get some help with this question? Thanks
Answer:
I am unable to see the picture if you type it i can possibly help
Step-by-step explanation:
Solve using the substitution method:
6x + y =15
4x + 3y = 31
Answer:
the answers to this are x= 1 and y= 9
Payne saves $2,000 at a yearly simple interest rate of 2%. He earns $280 in interest. How many years did he save his money?
For the data set shown in the scatterplot, what is the BEST approximation of the y-intercept for the line of best fit? A) 0 B) 50 C) 125 D)200
Answer:
C) 125Step-by-step explanation:
If you add a line of best fit, its extension is likely to intersect the y-axis between 200 and 100 but closer to 100.
The best estimate is choice C) 125
What is the better deal? 6 for $6.99 or 24 for $13.99
Answer:
24 for $13.99
Step-by-step explanation:
Find the cost of 1 for both deals.
6 for $6.99. Divide 6.99 with 6:
6.99/6 = 1.165
~$1.17 for one.
24 for $13.99. Divide 13.99 with 24:
13.99/24 = ~0.582
~$0.58 for one.
24 for $13.99 is the better deal, by ~59¢.
Consider the given figure, which shows groups of dots arranged in increasingly larger hexagons. If the pattern continues, the next group of dots would have 61 dots. Which of
the following statements best describes the sequence that represents the number
of dots in each group?
A The sequence is arithmetic, because the first differences are constant.
B) The sequence is arithmetic, because the second differences are constant.
c) The sequence is quadratic, because the first differences are constant.
The sequence is quadratic, because the second differences are constant.
Answer:
a
hddhdhdhhdgdhdgdhf
yyeyeyehrggggdgfhfhhfbfbdbfbdfbbfhhbfbdvwshhdgnhh
The sequence is arithmetic because the second differences are constant. Then the correct option is B.
What is a sequence?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
Consider the given figure, which shows groups of dots arranged in increasingly larger hexagons.
If the pattern continues, the next group of dots would have 61 dots.
The first difference will be
The difference between 7 and 1 is 6.
The difference between 19 and 7 is 12.
The difference between 37 and 19 is 18.
The difference between 61 and 37 is 24.
The second difference will be
The difference between 12 and 6 is 6.
The difference between 18 and 12 is 6.
The difference between 24 and 18 is 6.
Thus, the sequence is arithmetic, because the second differences are constant. Then the correct option is B.
More about the sequence link is given below.
https://brainly.com/question/21961097