Answer:
10.6
Step-by-step explanation:
y=a(2)^t/d
Plug in
720=370(2)^t/11
Divide both sides by 370
1.945945946 = (2)^t/11
Log both
Log(1.945945946) / Log(2)
0.9604716359 = t/11
0.9604716359 x 11 = t
10.56518799 to the nearest tenth is 10.6 = t
It would take 10.6 years for the value of the account to reach $720.
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
A person put $370 into an account that grew at a rate that allowed the money to double every 11 years.
As per the question, we can write an exponential function as:
[tex]y=a(2)^{t/d}[/tex]
Substitute the values of y = 720, a = 370 and d = 11 in the above equation:
[tex]720=370(2)^{t/11}[/tex]
Divide both sides by 370
[tex]1.945945946 = (2)^{t/11}[/tex]
Take logarithms on both sides of the equation,
log(1.945945946) / log(2)
0.9604716359 = t/11
0.9604716359 x 11 = t
t = 10.56518799
Rounded to the nearest tenth
t = 10.6
Thus, the required time would be 10.6 years.
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Answer this correctly I’ll give u brainalist + 10 points
Write the equation of a line that is parallel to y = -5/4x+ + 7 and that passes through the point (-4,1).
Answer: y- 1 = -5/4(x+4)\\
Step-by-step explanation:
y = mx + b, where m is the slope, and in the equation, the slope is -5/4.
For two-line that are parallel, the slope is the same, -5/4.
[tex]y - y_{1}= m( x - x_{1})\\y- 1 = -5/4(x-(-4))\\y- 1 = -5/4(x+4)\\[/tex]
A small bucket holds 75% as much as a large bucket.If the small holds 36 units,how much does the large hold?
Answer:
48
Explanation:
36÷75=
0.48
Write down the name of the solid.
Answer:
Cube
Step-by-step explanation:
what fraction does not belong?
8/12
6/12
2/3
4/6
Answer:
2/3
Step-by-step explanation:
because if you do 12 divided by 8 =1.15 and all the other one is 1.5 except 2/3
This is not a multiple choice, I need your help!
Answer:
Trapezoid, E, is the correct answer.
If it takes the pendulum 1.5 seconds to move back and forth once,the length of the pendulum is approximately what feet?
Answer:
Suppose that it takes a simple pendulum 1.2 seconds to swing from its leftmost point to its ... pendulum to complete one full back-and-forth motion – from its rightmost point back to its ... A pendulum with a string of length 2 m has a period of about 2.8 s. ... A pendulum with a period of 1.8 s on Earth is moved to another planet.
Step-by-step explanation:
At 12:45 Jimmy left his home in Pinetrees and cycled to visit his grandmother in Oakville. On his
way he stopped for 10 minutes in Rowan for a coffee and then he popped in to see his friend in
Yewton. He arrived in Oakville at 16:25. Jimmy cycled at a steady speed of 24 km/h and his
average speed for the whole journey, including the stops, was 18 km/h.
For how long did Jimmy stop in Yewton?
А
40 minutes
B
45 minutes
C
55 minutes
D
60 minutes
Jimmy stopped in Yewton for 45 minutes if Jimmy cycled at a steady speed of 24 km/h and his average speed for the whole journey, including the stops, was 18 km/h.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
It is given that:
At 12:45 Jimmy left his home in Pinetrees and cycled to visit his grandmother in Oakville.
Let x be the total time Jimmy stops in Yewton:
Total time for the journey = 220 minutes (12:45 to 16:25)
As we know:
distance = speed×time
24(220 - 10 - x) = 18(220)
220 - 10 - x = 165
x = 210 - 165
x = 45 minutes
Thus, Jimmy stop in Yewton for 45 minutes if Jimmy cycled at a steady speed of 24 km/h and his average speed for the whole journey, including the stops, was 18 km/h.
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The gross income, in dollars, that a company makes from
selling x items can be modeled by the expression 3x2 + 2x
+ 4. It costs the company x2 - 3x + 2 dollars to make x
items. Which expression represents the company's profit if
it makes and sells x items?
Answer:
x sells x
Step-by-step explanation:
$$$$$$$
Whats the answer to these? (These are called Proper fractions.)
Jeremiah ran for 3/10 of a mile and then walked another 2/5 of a mile. How far did he travel in all?
Daniel read 4/5 books and Edgar read 1/2 books. How many more books did Daniel read than Edgar?
Jared drove 2/8 miles to the restaurant. He drove another 1/4 miles to the mall. How many miles did he drive in all?
Answer:
1: 7/10
2: 3/10
3: 4/8 (2/4 or 1/2 if you need to simplify it)
Step-by-step explanation:
1: Convert 2/5 to tenths by multiplying the denominator and numerator by two. 3/10 plus 4/10 is 7/10
2: Convert 4/5 and 1/2 to tenths.
4/5 is going to be 8/10, 1/2 is going to be 5/10.
Subtract 5/10 from 8/10 to get 3/10
3: Convert 1/4 to eighths to get 2/8. Then add 2/8 and 2/8 to get 4/8.
Will give you points and BRAINLY
Step-by-step explanation:
[tex]f(\pi) = - 3 \\ f( \frac{\pi}{2} ) = 0 \\ f( - \frac{3\pi}{2} ) = 0 \\ \: \: = 3 \cos(theta) [/tex]
so what would the answer be to 2/3 x 6/7
Answer:
4/7
Step-by-step explanation:
Given function:
2/3·6/7Cross multiply:
6=2 and 3=1Rename:
2/1·2/7Multiply the terms:
2/1·2/7=4/7Therefore, 2/3·6/7 is 4/7..
Answer:
4/7
Step-by-step explanation:
1. you multiply
2/3 x 6/7 equals 2 x 6 and 3 x 7 equals 12/21
Multiply the denominator and numerator
2. simplify
12/21 equals 4/7
Help ?? Anyone and how
Answer:
just insert the x numbers in the calculation.. so for x = - 3 - > (- 3) / 2 +4 = 2.5
Step-by-step explanation:
x - 2 = y 3
and so on
Please help
Find the perimeter of the following shape, rounded to the nearest tenth
Answer:
19.1
Step-by-step explanation:
i took the testttttt
Perimeter is the sum of the length of the sides used to make the given figure. The perimeter of the given shape is 19.1 units.
What is the length of any line on the graph?The distance or length of any line on the graph,
[tex]{\rm Distance} = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]
where,
d = distance or length of the line between points 1 and 2,
(x₁ , y₁) = coordinate of point 1,
(x₂ , y₂) = coordinate of point 2,
To find the perimeter of the given figure we need to calculate the length of each line segment on the given graph. Therefore, the length of the different sides of the given quadrilateral can be written as,
AB = √[(5-0)²+(-1-0)²] = √26 units
BC = √[(5-3)²+(-1+5)²] = √20 units
CD = √[(3+2)²+(-5+4)²] = √26 units
AD = √[(-4 - 0)²+(- 2 - 0)²] = √20 units
Perimeter = AB + BC + CD + AD
= √26 units + √20 units + √26 units + √20 units
= 19.1423 units ≈ 19.1 units
Hence, the perimeter of the given shape is 19.1 units.
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A triangle has side lengths of 8 cm, 15 cm, and 17 cm. Classify it as acute, obtuse, or right.
acute
obtuse
O
right
Answer:
[tex]15^{2}[/tex] = 225
[tex]8^{2}[/tex] = 64
[tex]17^{2}[/tex] = 289
[tex]15^{2}[/tex] + [tex]8^{2}[/tex] + [tex]17^{2}[/tex]
= 225 + 64 = 289
289 = 289
Hence its a right angled triangle
Hope it helps
Please mark me as the brainliest
Thank you
Given 10 shirts, 6 pants, and 4 pairs of shoes to choose from, how many different combinations containing 1 shirt, 1 pants, and 1 pair of shoes are there?
9 shirts, 5 pants, 4 pairs.
4 Combinations since the lowest of them is 4.Answer:
Step-by-step explanation:
9 shirts, 5 pants, 4 pairs.
4 Combinations since the lowest of them is 4.
Answer ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: babes it blurry i cant see .
Step-by-step explanation:
A radio station plays 3 commercials for every 8 songs it plays. If they played 72 songs during the morning segment, how many commercials did they play?
Answer:
27
Step-by-step explanation:
A house was sold for $60,000 ten years ago. It has increase in value 55%. What is the value of the house now?
Convert:
5 meters 10 centimeters
centimeters
simplify the expression -2d + -2d - 9 + -9
Answer:
-4d-18
Step-by-step explanation:
Combine like terms:
-2d and -2d can combine since they have the same variable of d creating the term of -4d and -9 and -9 can combine to create -18. Put those together and you get the answer above.
Answer:
-4d-18
Step-by-step explanation:
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!
Answer: 105 km
Step-by-step explanation:
(15 km / 2.5 cm) x 17.5 cm = 105 km
Help please !!!! This is really hard
Answer:
Option -c :5^ -12 . 2^ 40
Step-by-step explanation:
( 5^6 . 2^8 )( 5^-2 . 2^5 )
( 5^6 . 5^-2 ) ( 2^8 . 2^5 )
5^ -12 . 2^ 40
Option -c : 5^ -12 . 2^ 40
I hope im right!!
What relationship between the quantities is shown in the table?
The relationship between quantities is +10.
The relationship between quantities is ×11.
The relationship between quantities is – 30.
The relationship between quantities is + 20.
Answer:
x11
Step-by-step explanation:
mega brain IQ
The relationship between the quantities x and y is option B. The relationship between quantities is ×11.
What is Direct Variation?Direct variations are defined as the functions of the form y = kx, where k is a constant.
Here when y increases, x increases and if y decreases, x also decreases.
Given values of x are 1, 2, 3 and 4.
Given values of y are 11, 22, 33 and 44.
We have to find the relationship between x and y.
Let y = f(x).
f(1) = 11, f(2) = 22, f(3) = 33 and f(4) = 44
Clearly we can see that,
f(x) = 11x, which is a direct variation.
When x = 1, f(1) = 1 × 11 = 11
When x = 2, f(2) = 2 × 11 = 22
When x = 3, f(3) = 3 × 11 = 33
When x = 4, f(4) = 4 × 11 = 44
So the relationship is y = x × 11
Hence the relationship between quantities is ×11.
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Your question is incomplete. The complete question is as given below.
Use the table to find the relationship between the two quantities. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table?
The relationship between quantities is +10.
The relationship between quantities is ×11.
The relationship between quantities is –30.
The relationship between quantities is +20.
Harold and Maude plan to take a cruise together, but they live in separate cities. The cruise departs from Miami, and they each book a flight to arrive in Miami an hour before they need to be on the ship. Their travel planner explains that Harold's flight has an 80% chance of making it on time for him to get o the ship and that Maude's flight has a 90% chance of making it on time. Assume that the event of Harold making it on time is independent of the event of Maude making it on time. What is the probability that at least one of Harold and Maude will make it to the cruise
Answer:
98% probability that at least one of Harold and Maude will make it to the cruise
Step-by-step explanation:
Independent probabilities:
When two events are independent, the probability of the two events happening simultaneously is the multiplication of each probability.
Probability that none makes it to the cruise:
Harold's flight has an 80% chance of making it, so 100 - 80 = 20% probability of missing.
Maude's flight has a 90% chance of making it on time, so 100 - 90 = 10% probability of missing.
Both missing: 0.2*0.1 = 0.02.
2% probability of both missing.
Probability that at least one makes it to the cruise:
Either both miss, or at least one makes it. The sum of the probabilities of these events is 100%. So
2 + p = 100
p = 98%
98% probability that at least one of Harold and Maude will make it to the cruise
what shape can be formed from the following net
Answer:
square pyramid
Step-by-step explanation:
Answer:
star
Step-by-step explanation:
The Davis family is going to reseed the grass in the backyard. Their yard is irregularly shaped with a cement patio and rectangular garden as shown below. Given that the family will not need grass seed for the patio or the garden areas, what is the total area of the land will they be reseeding?
Answer:
1,482 square feet
Step-by-step explanation:
Find total area - 37 x 46 = 1,702
Find area of patio and garden - 16 x 10 = 160 for the patio, 12 x 5 = 60 for the garden
Subtract from total area - 1702 - 160 = 1542, 1542 - 60 = 1,482 sq ft
CAN SOMEONE PLEASE HELP ME WITH THIS ITS DUE TODAY I WILL BRAINLIEST WHO EVER TELLS ME THE ANSWER
Answer:
There is a error that is
Not : 4 × 6
Correct: 4 × 4
Step-by-step explanation:
Given ,
Base of the parallelogram = 4 in.
Height of the parallelogram = 4 in.
Therefore,
Area of the parallelogram = base × height
= 4 in. × 4 in.
[tex] = 16 {in.}^{2} (ans)[/tex]
A drone is flying at kilometers per hour at a constant altitude of km above a straight road. The drone pilot uses radar to determine that an oncoming motorcycle is at a distance of exactly kilometers from the drone, and that this distance is decreasing at kph. Find the speed of the motorcycle. Note: Round to the nearest hundredth. Hint: At the end, remember to consider that the drone is moving towards the motorcycle at kph. Speed cannot be negative. Note: Round to the nearest tenth.
Answer:
Hello your question is poorly written attached below is the complete question
answer : 166.41 kph
Step-by-step explanation:
Given data :
Drone speed = 180 kph
Altitude of drone = 1 km
distance of motorcycle from drone = 2 km
distance of motorcycle decreases at 200 kph
calculate the speed in kph of the motorcycle
attached below is a detailed solution of the problem
The results of a national survey showed that on average, adults sleep 6.3 hours per night. Suppose that the standard deviation is 1.6 hours. (a) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 3.1 and 9.5 hours. % (b) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 2.3 and 10.3 hours. % (c) Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between 3.1 and 9.5 hours per day. % How does this result compare to the value that you obtained using Chebyshev's theorem in part (a)
Answer:
a) 75%.
b) 84%
c) Within 2 standard deviations from the mean is 95%. The normal distribution has a higher percentage of observations closer to the mean than a non normal distribution, so this percentage is larger.
Step-by-step explanation:
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Chebyshev Theorem:
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question:
Mean: 6.3 hours
Standard deviation: 1.6 hours
(a) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 3.1 and 9.5 hours.
3.1 = 6.3 - 2*1.6
9.5 = 6.3 + 2*1.6
Within 2 standard deviations, so the minimum percentage is 75%.
(b) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 2.3 and 10.3 hours.
How many standard deviations from the mean?
One standard deviation is 1.6
These measures are 10.3 = 6.3 = 6.3 - 2.3 = 4. This is k standard deviations, in which
[tex]k = \frac{4}{1.6} = 2.5[/tex]
The minimum percentage is:
[tex]100(1 - \frac{1}{k^{2}}) - 100(1 - \frac{1}{2.5^{2}}) = 84%[/tex]
So 84%.
(c) Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between 3.1 and 9.5 hours per day.
Within 2 standard deviations from the mean is 95%. The normal distribution has a higher percentage of observations closer to the mean than a non normal distribution, so this percentage is larger.