Answer:
576π
Step-by-step explanation:
Surface Area of a Sphere
4πr²Given
r = 12Solving
S.A. = 4 x π x (12)²S.A. = 4 x 144 x πS.A. = 576πA mountain in Jackson County is eroding and losing elevation at a rate of 5% every
millennium. If the current elevation is 1,300 meters, how tall will the mountain be in 8
millennia?
mund your anuor to the noroctwhold number
Answer:
862 m (nearest whole number)
Step-by-step explanation:
General form of an exponential function: [tex]\sf y=ab^x[/tex]
where:
a is the y-intercept (or initial value)b is the base (or growth factor)x is the independent variabley is the dependent variableIf b > 1 then it is an increasing function
If 0 < b < 1 then it is a decreasing function
If the mountain is losing elevation at a rate of 5% every millennium , then it as every millennium passes, it will be 95% of the height it was in the previous millennium (as 100% - 5% = 95%)
Given:
a (initial value) = 1300 mb = 95% = 0.95x = 8 millenniaSubstituting these values into the formula:
[tex]\sf \implies y=1300(0.95)^8[/tex]
[tex]\sf \implies y=862.4467607...[/tex]
[tex]\sf \implies y=862 \ m \ (nearest \ whole \ number)[/tex]
The circumference of a circle is 44π cm. find the diameter, the radius, and the length of an arc of 110.
Answer:
Step-by-step explanation:
find the slope of the line that passes through the points given in the table
Answer:
17. -2.5
18. 3
19. 0
20. -1
21. 2.33
22. undefined
The Slope of line:
1. -5/2
2. 3
3. 0
4. -1
5. 7/3
6. ∞
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
1. Slope of line
= (1-11)/ (-2 +6)
= -10 / 4
= -5/2
2. Slope of line
= (-2+ 5)/ (-3+ 4)
= 3 / 1
= 3
3. slope of line
= (6-6)/ (3+1)
= 0
4. Slope of line
= (7-8)/ (2-1)
= -1
5. Slope of line
= (-1+8)/ (0+3)
= 7/3
6. Slope of line
= (3-5)/ (-2+ 2)
= ∞
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Graph the function using the graphing calculator. find the least positive value of t at which the pendulum is in the center. t = sec to the nearest thousandth, find the position of the pendulum when t = 4.25 sec. d = in.
The least value of the function at which the pendulum is in the center is 0 and the position of the pendulum when t = 4.25 sec. is 4.24
The graph of the functionThe function is given as:
y = 6cos(πt)
See attachment for the graph of the function
The least positive value of tThe value of t is given as: -0.5
From the attached graph, the smallest value of the function when t = -0.5 is 0.
Hence, the least value of the function at which the pendulum is in the center is 0.
The position of the pendulum when t = 4.25 sec.We have:
y = 6cos(πt)
Substitute 4.25 for t
y = 6cos(4.25π)
Evaluate
y = 4.24
Hence, the position of the pendulum when t = 4.25 sec. is 4.24
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Answer:
t = 6
next one is 5
Step-by-step explanation:
~Hope this helps! :)
Do Not Red
consider the net of a rectangular pyramid.
156 ft
63 ft S132 ft
63 ft
66 ft
1
156 ft
What is the surface area, in square feet, of the rectangular pyramid?
A 336 ft2
B 434 ft2
C 2,350 ft2
D 7,824 ft2
Answer:
c
Step-by-step explanation:
Find the perimeter of the given figure.
Answer:
9.4
Step-by-step explanation:
(rectangle) shape 1: perimeter of rctangle= 2(l b)
=7
(semicircle)shape 2:perimeter of semicirlce=½ñd+d(ñ=pie)
0.5×ñ×1.4+1.4=3.6
add them
7+3.6=10.6
i hope i was helpful
please consider as brainlest
find the inverse of function of a function g=((a,1),(b,2),(2,3),(d,4))
Answer:
g inverse = (1,a),(2,b),(c,3),(4,d)
Step-by-step explanation:
I think the third part of the question should be (c,3) not (2,3)
if it's (2,3) then the inverse becomes (3,2)
Answer:
Inverse of function g = {(1,a),(2,b),(3,2),(4,d)}
Step-by-step explanation:
Hey there! :)
Please see an explanation below for better understanding to the answer - also let me know if you have any questions!
What is Inverse Function?Inverse Function is a function that swaps domain and range.
What are domain and range?Domain is the set of all x-values while Range is the set of all y-values, can be defined in coordinate point as (x,y).
StepsIf (x,y) is an original function then (y,x) will be an inverse function of original.
We are given the function g = {(a,1),(b,2),(2,3),(d,4)} - swap the domain and range.
Therefore, the inverse of function g is [tex]\displaystyle \large{g^{-1}}[/tex] = {(1,a),(2,b),(3,2),(4,d)}
what is the product of 237 and 962?
Answer:
227994
Step-by-step explanation:
Answer:
value x value = product
237 x 962 = product = 227,994
Step-by-step explanation:
hope this helps,
15 times a number plus 42 is greater than 7
please help!
Answer: equation would be 15x+42>7
Step-by-step explanation: first subtract 42 from 7, you would get -35, then divide -35 by 15, which gets you -2.3, meaning your answer is x>-2.3
4.289 rounded to the nearest tenth
The cubic root of 400 lies between which two numbers?
Answer:
Let x = cube root of 400
Using a calculator x = 7.368 to 3 decimal places
So: 7 < x < 8
Help does this even make sense
Answer:
You can set two simultaneous equations and solve it
Let the cost of a plate be x, and the cost of a cup be y.
5x + 4y = 19.6 --- 1
6x + 5y = 23.8 --- 2
25x + 20y = 98 --- 3
24x + 20y = 95.2 --- 4
3 - 4 : x = 2.8
Sub x = 2.8 into 1
5(2.8) + 4y = 19.6
4y = 5.6
y = 1.4
so 1 plate costs 2.8 dollars and 1 cup costs 1.4 dollars
hope this helps!!! please mark brainliest!!!!
i) Given that a = 1, b = 3, c = 7, evaluate abc
Calculations ↓Instead of a write 1 :1bcInstead of b write 3 :1*3cInstead of c write 7 :1*3*7Multiply :1*2121Evaluated expression ↓21
A squared garden has am area of 81 squared meters what is the permiter of this garden
Answer:
9 meters
Step-by-step explanation:
just find the square root of 81 and it gives you the number 9
Given the regular polygon ABCDEF with side lengths of 16 km, find the area of the shaded region. Round your answer to the nearest tenth.
The hexagon surface area is the amount of space on it
The surface area of the hexagon is 665.11 square centimeters
How to determine the surface area?The question is incomplete, as the diagram is not given.
So, I will calculate the surface area of the hexagon.
The side length of the hexagon is given as:
L = 16 km
The surface area of the hexagon is calculated using:
A = 1.5[tex]\sqrt3[/tex]L^2
This gives
A = 1.5 * [tex]\sqrt3[/tex] * 16^2
Evaluate the product
A = 665.11
Hence, the surface area of the hexagon is 665.11 square centimeters
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Kira ran 8 1/5 miles in 69 7/10 minutes. What is Kira’s average time per mile?
Answer:
1 mile = 8.5 minutes
Step-by-step explanation:
Determining the equation:
Kira ran 8 1/5 miles in 69 7/10 minutes.
⇒ Kira = 8 1/5 miles = 69 7/10 minutes
⇒ 41/5 miles = 697/10 minutes
Simplifying both sides:
⇒ 41/5 miles = 697/10 minutes
⇒ 41 miles = 697/2 minutes
Using cross multiplication:
⇒ 41 × 2 miles = 697 minutes
⇒ 82 miles = 697 minutes
Dividing 82 both sides:
⇒ 82 miles = 697 minutes
⇒ 82/82 miles = 697/82 minutes
⇒ 1 mile = 8.5 minutes
67 x=?
Please help!
Which of the triangles shown are scalene triangles?
A group of triangles. Triangle A has three acute angles and two equal sides. Triangle B has two acute angles, one ninety degree angle, and two equal sides. Triangle C has three acute angles and two equal sides. Triangle D has two acute angles and one obtuse angle. All the sides on this triangle are different lengths.
The triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.
What is a Scalene Triangle?A scalene triangle is a triangle whose three angles are unequal and also has three unequal sides.
This means that any two sides or two angles of a scalene triangle must not be equal.
Thus, the triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.
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Which statement illustrates the distributive property?
3(4+5) = 3(4)+5
3(4+5)-3(4)+ 3(5)
3[(4)(5)] - 3(4)+3(5)
3[(4)(5)] = [ 3(4)][3(5)]
Answer:
3(4+5)=3(4)+3(5)
Hope it helps
Step-by-step explanation:
How many cups of water should be mixed with 1/4 cup of vinger to make the cleaning solution
Answer:
"mix 1 cup of vinegar with 1 gallon of water"
1 cup = 8oz; 1/4 cup = 2oz
You can see that the amount of vinegar is 1/4 of the original amount,
so, we will need 1/4 of the amount of water, which is 1gallon = 128oz
so, 1/4 times 128oz = 32oz, which is one quart
Algebraically, 8oz : 128oz = 2oz : x
8x = 256; x = 32oz
A linear function is represented below.
Which function has a greater y-intercept than the function in the table?
A. y = 4x
B. y = –2x
C. y = –x – 1
D. y = –0.5x + 5
here is the chart it wouldn't let me do a screenshot:
X, Y
-2,-6
0 0
3 9
Solution:
D. y = –0.5x + 5
In this chart, the slope, (m):
[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\hookrightarrow \sf \frac{-6-0}{-2-0}[/tex]
[tex]\hookrightarrow \sf \frac{-6}{-2}[/tex]
[tex]\hookrightarrow \sf 3[/tex]
Equation:
[tex]\sf y_1-y= m(x_1-x)[/tex]
[tex]\hookrightarrow \sf y-(-6)= 3(x-(-2))[/tex]
[tex]\hookrightarrow \sf y+6= 3x+6[/tex]
[tex]\hookrightarrow \sf y+6-6= 3x+6-6[/tex]
[tex]\hookrightarrow \sf y= 3x[/tex]
⇒ Thus we found in the chart, the slope is 3 and y-intercept : 0
A = y-intercept : 0B = y-intercept : 0C = y-intercept : -1D = y-intercept : 5From this D only has the greatest y-intercept than the chart.
Answer:
D
Step-by-step explanation:
Sorry if I'm late for the party, hope this helps anyways! :)
The volume of a cylinder is 10.14 cudic centimeters. If a cone has the same height and radius as the cylinder, what is its volume?
Answer:
3.38 cm^3
Step-by-step explanation:
volume of cylinder = pi r^2 h
10.14 / pi = r^2 h
volume of a cone = 1/3 pi r^2 h
V = 1/3 pi (10.14/pi) = 3.38
Solve for p show work
8p-3=13
First, add 3 to both sides:-
[tex]\sf{8p=13+3}[/tex]
[tex]\sf{8p=16}[/tex]
Now, divide both sides by 8:-
[tex]\bigstar{\boxed{\pmb{p=2}}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
show work!!
What value of x makes the equation 33x=11 true
33x=11
Can X = 2 be linear function
Answer:
yes it can
.........................................
Answer:
Yes
Step-by-step explanation:
A linear function is a straight line and when we graph x=2 the line goes straight through x=2
A cylindrical tank holds about 615.44
cubic inches of helium. The radius of the tank
is 3 1/2 (3 and one half)inches. What is the height of the tank?
Use 3.14 for Pi. (Please give explanation/show work)
Answer:
The height is 15.992 in
Step-by-step explanation:
1. The equation for a cylinder is [tex]V=\pi r^2h[/tex]. In this case, the equation looks like [tex]615.44=\pi (3.5)^2h[/tex]
2. Isolate h by dividing both sides of the equation by [tex]\pi (3.5)^2[/tex]
3. This leaves us with [tex]\frac{615.44}{\pi (3.5)^2}=h[/tex]
4. Solve for the left side, which leaves us with h = 15.992 (rounded to the nearest thousandth)
Which of the following number CANNOT represent the probability of an event?
A. 0.888
B. 0
C. 4.2
D. 0.39
Answer:
c
4.2 would mean a 420% chance of something happening which doesnt make sense
The number 4.2 cannot represent the probability of an event because it is greater than one.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The probability of an event must be less than or equal to one.
So 0.888 can represent the probability of an event because it is a non-negative number that is less than or equal to one.
0, cannot represent the probability of an event because it is a non-negative number but it is not less than or equal to one. This number represents an impossible event.
4.2, cannot represent the probability of an event because is greater than one which means it represents an event that is certain to occur, which is not a probability.
0.39, can represent the probability of an event because it is a non-negative number that is less than or equal to one.
Therefore, the number 4.2 cannot represent the probability of an event because it is greater than one.
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E
H
36
X + 10
57°
370
(5y + 7)º
G
60
F
J
36
1
Triangle FEG is similar to triangle IHJ. Find m_H.
mZH =
What is the answer?
Answer: 86 degrees
Step-by-step explanation:
Describe how to compare the two ratios 5:8 to 7:9. Tell each step to set up the ratios, then explain what to do to be able to compare the ratios. Finally make sure to answer how the ratios compare. ~ 100 POINTS AND ILL GIVE YOU BRAINLIEST IF YOU ANSWER CORRECTLY AND 5 SENTENCES NEEDED
Answer:
5/8 is smaller.
Step-by-step explanation:
A ratio is just a different type of fraction, a 5:8 ratio means 5/8 which is 0.625. A 7:9 ratio equals 7/9 which is 0.777777
Then to compare them you see which is smaller or bigger.
0.77777 is bigger than 0.625 so we know that 0.77777777 which was the 7:9 ratio is the bigger one.
Steps:-
First rewriteThen convert to fractionsThen divide both[tex]\\ \rm\rightarrowtail 5:8::7;9[/tex]
[tex]\\ \rm\rightarrowtail 5/8:7/9[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{5(9)}{8(9)}:\dfrac{7(8)}{9(8)}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{45}{72}:\dfrac{56}{72}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{45}{56}[/tex]
Second one is biggerWhat is 4 – 12? −16 −8 8 16
please help
Answer: -8
Step-by-step explanation: