Answer:
Given formula:
d = (21.9) [tex]2^{(20-x)/12}[/tex]1.
Find d(7), d(8) and d(9)
d(7) = (21.9) [tex]2^{(20-7)/12}[/tex] = (21.9) [tex]2^{13/12}[/tex] ≈ 46.404d(8) = (21.9) [tex]2^{(20-8)/12}[/tex] = (21.9) [tex]2^{12/12}[/tex] = 43.8d(9) = (21.9) [tex]2^{(20-9)/12}[/tex] = (21.9) [tex]2^{11/12}[/tex] ≈ 41.3422.
The ratios are
d(9)/ d(8) = 41.342/43.8 ≈ 0.944d(8)/(d(7) = 43.8/46.404 ≈ 0.944As we see the ratios are same. This is due to the exponential nature of the function. 0.944 is the common ratio between two consecutive distances.
Step-by-step explanation:
This Is The AnswerHope It Helps U
Use the simple interest formula to find the interest earned and the ending balance. I = Prt
1. $48,000 at 3% for 6 years
Answer:
8640
Step-by-step explanation:
I = Prt
I = (48000)(0.03)(6)
I = 8640
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Answer:
Step-by-step explanation:
Calculate the area of the base (which is a circle) by using the equation πr² where r is the radius of the circle. Then, multiply the area of the base by the height of the cylinder to find the volume.
Answer:
[tex]\frac{32}{3} \pi \\v= 33.5[/tex]
Step-by-step explanation:
[tex]v=\frac{4}{3} \pi r^{3}[/tex]
[tex]v= \frac{4}{3} \pi 2^{3} \\\\v=\frac{4}{3} \pi 8\\v=\frac{32}{3} \pi \\v= 33.5[/tex]
What's the degree of 6s^4 t^2?
Answer:
6
Step-by-step explanation:
add the two exponents
Answer:
Step-by-step explanation:
Add all the powers of the term.
4 + 2 = 6
Degree = 6
Let f be differentiable such that f(-2)=3,f(3)=5, f'(-2)=4 and f'(3)=6. Let g be differentiable functions such that g(x)=f^-1 (x) for all x. What is the value of g'(3)
Answer:
[tex]g'(3)=\frac{1}{4}[/tex]
Step-by-step explanation:
There is a rule in calculus that tells us that:
[tex]g'[f(x)]=\frac{1}{f'(x)}[/tex]
In this case, we know that f(-2)=3, therefore:
g'(3)=g'(f(-2))
So, if we used the rule, we would get that:
[tex]g'[f(-2)]=\frac{1}{f'(-2)}[/tex]
we know that f'(-2)=4, so:
[tex]g'[f(-2)]=\frac{1}{4}[/tex]
or:
[tex]g'[3]=\frac{1}{4}[/tex]
What does the mode represent in a set of numbers?
Answer:
The mode is the number that shows up the most in the set.
Step-by-step explanation:
1 4 6 3 7 1 1 4 9 1
mode is 1
The mode represents the most frequent number that is, the number that occurs the highest number of times in a set of numbers.
Given that,
Define the term 'Mode'.
Since, The mode, in a set of numbers, represents the value that appears most frequently.
It is a measure of central tendency, providing insights into the most common or popular value within the data set.
For example, let's consider the set of numbers: 3, 5, 5, 1, 2, 4, 5, 3, 5, 6.
In this set, the mode is 5 because it appears more frequently than any other number.
So, The mode, in a set of numbers, represents the value that appears most frequently.
To learn more about the mode visit:
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$8.00+$6.00 =
answer
Answer:
$8.00+$3.00+$3.00=$14.00
Step-by-step explanation:
given g(x)=-x-2find g(-3)
Answer:
-5
Step-by-step explanation:
look at the pictire......
What is the surface area of a dome (a half sphere) with a radius of 6 meters?
72 pi meters squared
48 pi meters squared
24 pi meters squared
144 pi meters squared
Answer: 72π meters squared.
Step-by-step explanation: Given that the radius is 6 meters, use the sphere surface area formula to find the surface area of the half-sphere;
Replace the value in the formula: A=4πr² → A=4π6²Solve the exponent first: A=4π6² → A=4π36The order of the multiples does not affect the total, so we can multiply 4 times 36 first: A=4π36 → A=144π144π is the surface area of the whole sphere, so half the sphere will be 72π. In conclusion, the surface area of the dome will be 72π meters squared.
y = (x + 4)(x - 1) what is the x intercept
(−4,0), (1,0)
There hope this helped
Solve and show work.
Find the output, y, when the input, x, is 30
y=14 - 0.5x
Answer:
y = -1
Step-by-step explanation:
Given x = 30 , y = 14 -0.5x
Find y
let (x = 30) fill in y
y = 14 - 0.5(30)
y = 14 - 15
Thus , y = -1help please I gotta get my grade up!
First step: you got to add y to both sides in the math problem Ex: 15x - y + y < 12 + y
Second step: simplify 15x < 12 + y
Third Step: This you got to divide both sides by 15 like this: 15x/15 < 12/15 + y/15
Last and Fourth step: Simplify and thats your answer x < 12 + y/15
The weights in pounds of five cats are 12, 14, 12, 16, and 16. Find the mean, median, mode, and range of the data set.
Answer:
Mean: 14
Median: 14
Mode: 12, 16
Good luck!
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Answer:
Step-by-step explanation:
the area is 314.16
Answer:
314 square inches
Step-by-step explanation:
A= 3.14 x (10)2
= 3.14 x 100
= 314
If PQ = 2v and PS = 6v - 52, find the value of v in parallelogram QRST.
Answer:
Step-by-step explanation:
Which function represents exponential decay?
the answer to your question would be D
The perimeter of a rectangle is 36 meters. If the length of the rectangle is 10 meters, what is the width (in meters)?
Indicate whether each statement about linear functions A and B shown below is true or false by checking the appropriate box in the table.
Function A
Function B
2
3
4
3
2
11
15
19
+
5
<
Statement
True
False
The rates of change for both Function A and Function B are positive.
The rate of change for Function A is 3 times the rate of change for Function B.
The intercepts for both Function A and Function B are positive
If you want 2 cookies and you only have.50 cents and the cookies cost 10 dollars how much money will you have to get if you only have.50 cents
Answer:
The answer would be 15 cookies.
Step-by-step explanation:
Cookies = 24 cents each
Pop = 45 cents each
you would need about 2000 pennies to have enough to buy two cookies, 2000-50=1950, so if you have 50 cents you would need 1,950 more pennies to be able to get 2 cookies
How many hours do Max and Sasha exercise per week?
Max and Sasha exercise a total of 20 hours each
week. Max exercises 15 hours less than 4 times
the number of hours Sasha exercises. The system
x+y= 20
of equations
x - 4y = --15
represents this
situation, where x represents the number of hours
Max exercises and y represents the number of
hours Sasha exercises. How many hours do Max
and Sasha exercise per week?
How do I find the solution to 1 = r /12 ?
Answer:
first, you have to multiply out the 12, to isolate the r. so multiply 12 to both sides to get:
r= 12
Step-by-step explanation:
i hope this helps :)
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You might think that the angle between the hour and minute hand at 2:20 is 60 degrees, but it is not! The hour hand has moved beyond the 2. Calculate the angle between the clock hands at 2:20.
Answer:
70 degrees
Step-by-step explanation:
Moving from one hour number to the next (12 to 1, 3 to 4, etc) moves the hand of the clock 30 degrees. Using this, we know that the hour hand moved 60 degrees to get to the hour number 2. Then, the angle the hour hand moved because of the minute hand can be calculated by doing (20/60)*30=10. So the final answer would be 70 degrees.
is anyone like good at math that can help me real quick?
please help me tooday
Answer:
its 3
Step-by-step explanation:
Mrs. Baxter deposits $2000 in an account that earns 5% interest. How much is Mrs. Baxter's investment worth after 8 years
Answer:
2954.91088758
Step-by-step explanation:
exact answer
write 24 minutes to 3 hours as a ratio in its simplest form
3 hours = 180 minutes
So, 24:180.
Simplified: 1:5
Hope this helps; have a great day!
Solve for x*
please help
Answer:
B
Step-by-step explanation:
∠ AEB and ∠ ADC are corresponding angles and are congruent, then
3x - 10 = x + 40 ( subtract x from both sides )
2x - 10 = 40 ( add 10 to both sides )
2x = 50 ( divide both sides by 2 )
x = 25
7 inches, 8 inches, 9 inches will these lengths form a triangle
Answer:
Yes
Step-by-step explanation:
If we use the triangle inequality theorem, then we would have:
7+8 > 9
HOPEE THIS HELPS
find the value of given expression
[tex] \sqrt{56 - 7} [/tex]
Answer:
± 7
Step-by-step explanation:
Given
[tex]\sqrt{56-7}[/tex]
= [tex]\sqrt{49}[/tex]
= + 7 or - 7 , that is ± 7
Answer:
±7
Step-by-step explanation:
56 - 57
______
gives you 49
which then turns into ±7
⇒⇒⇒Hope this helps!
Amanda, Bruno and Carla collected bottle caps for charity. Amanda collected (4f – 3) bottle caps. Bruno collects twice as many bottle caps as Amanda. Carla collects 3(5 + 2f) bottles. How many bottles did they collect altogether in terms of f ?
Answer:
18f - 6 bottles
Step-by-step explanation:
Amanda, Bruno and Carla collected bottle caps for charity. Amanda collected (4f – 3) bottle caps. Bruno collects twice as many bottle caps as Amanda. Carla collects 3(5 + 2f) bottles. How many bottles did they collect altogether in terms of f ?
From the question
Amanda collected (4f – 3) bottle caps. Bruno collects twice as many bottle caps as Amanda.
= 2(4f - 3)
= 8f - 6 bottle caps
Carla collects 3(5 + 2f) bottles.
= 15 + 6f bottles
The number of bottles they collected altogether in terms of f is calculated as:
(4f – 3) bottle + 8f - 6 bottle + 15 + 6f bottle
4f - 3 + 8f - 6 + 15 + 6f
= 18f - 6