Today roberto mowed the lawn in 90 minutes.Every time he mows the lawn,he is able to decrease the amount of time it takes by 5%.How long will it take him to mow the lawn after he mows it 10 times
Answers
100% - 5% = 95%
Multiply time by 95% raised to the number of times he will mow:
90 minutes x 0.95^10 = 53.88 minutes (round answer as needed)
Answer:
See below
Step-by-step explanation:
Each time he mows is 95% of the previous time ...the first time is 90 minutes, then mow nine more times ...
90 ( .95)^9 = 56.72 minutes
Related Questions
9. Which of the following is an equilateral triangle?
Answers
Answer:
d
Step-by-step explanation:
The dashes on the sides of the triangles mean that they are equal in length.
Isosceles triangle: 2 sides of equal length
Equilateral triangle: 3 sides of equal length
Triangle a doesn't have any dashes, so all the sides are different length.
Triangle b has 2 sides that each have the same number of dashes, so these sides are equal in length → Isosceles triangle
Triangle c has 2 sides that each have the same number of dashes, so these sides are equal in length → Isosceles triangle
Triangle d has 3 sides that each have the same number of dashes, so these sides are equal in length → Equilateral triangle
Mrs. Yamaguchi's class weighed the potatoes that they grew in their garden and recorded the data in a table. What are the least and greatest weights of the potatoes in the data set? Weights of Potatoes (in pounds) 1 4 3 8 5 8 1 2 5 8 1 2 1 2 3 4 1 4 1 8 3 4 1 2 3 8 1 2 3 4 3 8 The least weight is the greatest weight is please help me and can you explain how you did this to
Answers
Answer:
1/8 has 1, 1/4 has 2, 3/8 has 3, 1/2 has 4, 5/8 has 2, and 3/4 has 3. Step-by-step explanation:
The least weight is
(one-sixteenth)
pounds and the greatest weight is
(three-fourths)
pounds.
Like us, mice are warm-blooded creatures. Their bodies must maintain a constant
temperature of 37°C, regardless of the temperature of their environment. Doing so burns
calories. The more severe the temperature difference, the more calories the mouse must
burn to maintain its body temperature. Consulting the research literature, you found the
following model:
C = 0.37219T + 1,560
Where C is the number of calories an idle mouse burns each day and T is the temperature
of its environment in °C. What is the most comfortable temperature for an idle mouse?
(This is the temperature where it burns the least calories per day). How many calories will
it burn each day at that temperature?
Answers
At a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.
According to the given model C = 0.37219T + 1,560, where C represents the number of calories an idle mouse burns each day and T represents the temperature of its environment in °C.
To find the most comfortable temperature for an idle mouse, we need to determine the temperature at which the mouse burns the least amount of calories per day.
To find this temperature, we can minimize the equation C = 0.37219T + 1,560. To do so, we take the derivative of C with respect to T and set it equal to zero:
dC/dT = 0.37219 = 0
Solving this equation, we find that the derivative is a constant value, indicating that the function C = 0.37219T + 1,560 is a linear equation with a slope of 0.37219. This means that the mouse burns the least calories at any temperature, as the slope is positive.
Therefore, there is no specific "most comfortable" temperature for an idle mouse in terms of minimizing calorie burn. However, if we consider the range of temperatures mice typically encounter, we can find a temperature where the calorie burn is relatively low.
For example, if we take a temperature of 20°C, we can calculate the calorie burn:
C = 0.37219 * 20 + 1,560
C = 7.4438 + 1,560
C ≈ 1,567.4438 calories per day
Therefore, at a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.
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In which quadrants is cosine positive?
A. I and II
B. I and III
C. II and IV
D. I and IV
Answers
D. I and IV are the quadrants the cosine function is positive
To determine in which quadrants the cosine function is positive, we need to consider the signs of cosine in different quadrants of the Cartesian coordinate system.
The unit circle is a useful tool to understand the behavior of trigonometric functions. In the unit circle, the x-coordinate represents the cosine value, while the y-coordinate represents the sine value. The cosine function is positive in the quadrants where the x-coordinate is positive.
Quadrant I is the top-right quadrant, where both the x and y coordinates are positive. In this quadrant, cosine is positive because the x-coordinate is positive.
Quadrant II is the top-left quadrant, where the x-coordinate is negative, but the y-coordinate is positive. In this quadrant, cosine is negative because the x-coordinate is negative.
Quadrant III is the bottom-left quadrant, where both the x and y coordinates are negative. In this quadrant, cosine is negative because the x-coordinate is negative.
Quadrant IV is the bottom-right quadrant, where the x-coordinate is positive, but the y-coordinate is negative. In this quadrant, cosine is positive because the x-coordinate is positive.
Based on this analysis, we can conclude that cosine is positive in Quadrant I and Quadrant IV. Therefore, the correct answer is D. I and IV.
It's important to note that this applies to the standard unit circle and the principal values of cosine. When considering periodicity and multiple revolutions around the unit circle, the positive regions of cosine will repeat every 360 degrees or 2π radians.
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A survey of 800 randomly selected adults in a certain country found that 82% believed that
protecting the rights of those with unpopular views is a very important component of a strong
democracy.
a. Verify the Central Limit Theorem conditions.
b. Find a 95% confidence interval for the proportion of adults in the country who believe that
protecting the rights of those with unpopular views is a very important component of a strong
democracy.
c. Would a 90% confidence interval based on this sample be wider or narrower than the 95%
interval? Give a reason for your answer.
Answers
a) the Central Limit Theorem conditions are met. b) The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.
c) . A 90% confidence interval would be wider than the 95% interval
How to Verify the Central Limit Theorem conditions.To verify the Central Limit Theorem (CLT) conditions, we need to check the following:
1. Random Sampling: The survey states that 800 adults were randomly selected, which satisfies this condition.
2. Independence: We assume that the responses of one adult do not influence the responses of others. This condition is met if the sample is collected using a proper random sampling method.
3. Sample Size: To apply the CLT, the sample size should be sufficiently large. While there is no exact threshold, a common rule of thumb is that the sample size should be at least 30. In this case, the sample size is 800, which is more than sufficient.
Therefore, the Central Limit Theorem conditions are met.
b. To find a 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views, we can use the formula for calculating a confidence interval for a proportion:
CI = p ± z * √(p(1-p)/n)
where:
- p is the sample proportion (82% or 0.82 in decimal form).
- z is the z-score corresponding to the desired confidence level. For a 95% confidence level, the z-score is approximately 1.96.
- n is the sample size (800).
Calculating the confidence interval:
CI = 0.82 ± 1.96 * √(0.82(1-0.82)/800)
CI = 0.82 ± 1.96 * √(0.82*0.18/800)
CI = 0.82 ± 1.96 * √(0.1476/800)
CI = 0.82 ± 1.96 * √0.0001845
CI ≈ 0.82 ± 1.96 * 0.01358
CI ≈ 0.82 ± 0.0266
The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.
c. A 90% confidence interval would be wider than the 95% interval. The reason is that as we increase the confidence level, we need to account for a larger margin of error to be more certain about the interval capturing the true population proportion. As a result, the interval needs to be wider to provide a higher level of confidence.
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Find the coordinates of point P along the directed line segment AB to PB is the given ratio. If necessary, round to the nearest hundredth.
A(-3, 2), B(5,5) ; 1 to 3
Answers
The coordinates of point P along the directed line segment AB to PB is
P( -1 , 11/4)
What is Line segment?
A line segment in geometry is a section of a straight line that is enclosed by two clearly defined end points and contains all of the points on the line that lie inside those endpoints. The Euclidean distance between two ends of a line segment determines its length.
AP/BP = 1/3 you assume the order pair of P is (a , b )
AP = a - (-3)
PB = 5 - a
(a + 3)/ ( 5 - a ) = 1/3
after cross multiplication you will have
(a + 3)3 = (5 - a)
3a + 9 = 5 - a
3a + a = 5 - 9
4a = -4
a = -1
one more time the ratio must calculate for y's
AP = b - 2
PB = 5 - b
(b - 2) / ( 5-b) = 1/3
3b - 6 = 5 - b
3b + b = 5 + 6
4b = 11
b = 11/4
after cross multiplication you will have
so P( -1 , 11/4)
Hence, The coordinates of point P along the directed line segment AB to PB is P( -1 , 11/4)
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Using a scale where 3 inches = 5 feet. If a room measures 20 feet (Width) by 22.5 feet (length), what are the dimensions of the room in inches?
A 12 inches (width) by 13 inches (length)
B 12.5 inches (width) by 13 inches (length)
C 12 inches (width) by 13.5 inches (length)
D 12.5 Inches (width) by 13.5 inches (length)
Answers
Answer:
wnna call me and lift the lorax
Step-by-step explanation:
Answer:
12 inches by 13.5 inches
Step-by-step explanation:
3 inches= 5 feet
0.6 inch = 1 feet
20 feet=12 inches
22.5 feet=13.5 inches
please give me brainiest!!<3
If 7p-4=8 what is the value of p
Answers
Answer: 1.71
Step-by-step explanation:
Add 4 to both sides, therefore 7p=12, now divide both sides by 7 to get what P= P is 1.71 if rounding to nearest tenth.
Dan buys a car for £1700.
It depreciates at a rate of 4% per year.
How much will it be worth in 4 years?
Answers
Answer:
Step-by-step explanation:
100%-4%=96%
96/100=0.96
£1700*0.96^4=£1443.89
Answer:
1143.89Step-by-step explanation:
I HOPE it's help you
The table shows the number of students in each grade at two different schools.Grade 9 Grade 10 Grade 11 Grade 12 TotalSchool A50252025120School B2020251580Total70454540200Compare the probability that a randomly selected student is in grade 10 at each school. Move options to the blanks to complete thesentences.The probability a student at School A is in grade 10 isThe probability a student at School B is in grade 10 isIt isthat a student at School A is in grade 10 compared to a student at School B.19less likelymore likelyequally likely
Answers
Answer:
the probability that a student in school A is in grade 10 is;
\(\frac{5}{24}\)Explanation:
Given the table in the attached image.
The probability that a student in school A is in grade 10 would be;
\(P(A10)=\frac{\text{number of students in grade 10 in school A}}{\text{total number of students in school A}}=\frac{n(10A)}{n(A)}\)From the given data;
\(\begin{gathered} n(10A)=25 \\ n(A)=120 \end{gathered}\)substituting the given values;
\(P(A10)=\frac{25}{120}=\frac{5}{24}\)Therefore, the probability that a student in school A is in grade 10 is;
\(\frac{5}{24}\)A
Consider the function f(x)=2x−−√−8. If f−1(x) is the inverse function of f(x), find f−1(2)
Answers
\(f^(-1)(2) = 6\), which is consistent with our earlier result.
What is inverse function?A function that "undoes" another function is known as an inverse function. If f(x) is a function, then f(x inverse, )'s indicated by f-1(x), is a function that accepts f(x output )'s as an input and outputs f(x initial )'s input.
Given the function f(x) = √(2x - 8), if f^(-1)(x) is the inverse function of f(x), what is \(f^(-1)(2)\)?
Solution:
To find f^(-1)(2), we need to find the value of x such that \(f(x) = 2\) . We can set up an equation:
\(f(x) = \sqrt(2x - 8) = 2\)
Squaring both sides, we get:
\(2x - 8 = 4\)
\(2x = 12\)
\(x = 6\)
Therefore, \(f^(-1)(2) = 6.\)
We can also verify this result by using the definition of an inverse function. If f^(-1)(x) is the inverse function of f(x), then by definition:
\(f(f^(-1)(x)) = x\)
We can substitute x = 2 and solve for f^(-1)(2):
\(f(f^(-1)(2)) = 2\)
\(f^(-1)(2) = (f(6))^(-1)\)
f(6) = √(2(6) - 8) = √4 = 2
Therefore,\(f^(-1)(2) = 6\), which is consistent with our earlier result.
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The probability of raining on Saturday is 0.09. If today is Saturday, then find the
probability of raining today.
A. 0.63
B.0.49
C.0.37
D.1
Answers
Answer:
I Think it is A
Step-by-step explanation:
It is a because 9×7=63
The probability of raining today is equal to the probability of raining on Saturday, which is 0.09.
To find the probability of raining today, given that today is Saturday and the probability of raining on Saturday is 0.09, we can use conditional probability.
The conditional probability of an event A occurring, given that event B has already occurred, is denoted as P(A|B) and is calculated as follows:
P(A|B) = P(A ∩ B) / P(B)
In this case, event A represents the event of raining today, and event B represents the event of it being Saturday.
We are given that P(B) = 0.09 (the probability of raining on Saturday). Since today is Saturday, we know that event B has occurred.
Now, let's assume that event A and event B are independent. This means that the probability of raining today (event A) is not affected by whether it is Saturday (event B) or not.
Under the assumption of independence, we can say that P(A ∩ B) = P(A) * P(B).
Given that P(B) = 0.09, we can substitute these values into the conditional probability formula:
P(A|B) = (P(A) * P(B)) / P(B)
= P(A)
Therefore, the probability of raining today is equal to the probability of raining on Saturday, which is 0.09.
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Bob earns $10 per hour plus a
15 percent commission on his sales. Last week he worked h hours and had s dollars in sales. Write an equation that represents his total earning, in dollars, last week?
O 10.15hs
O 10.15(h +s)
O 10h+0.15s
O 10(h + 0.15s)
Answers
Answer:
C, 10h + 0.15s
Step-by-step explanation:
he earns 10 dollars per hour so 10h
he earns 15% or .15 per sale so .15s
add them together to get 10h + 0.15s
(ab)(6a^5b)(-ab) simplified please
Answers
Answer:
25b3a+93b+60a=30a2+b2
Step-by-step explanation:
Heather has the equation y = 2 * 3^x + 1. She wants to graph a function that represents exponential decay. What should she change in her equation?A) change the 2 to a 1/2B) change the 3 to a 1/3C) change the + 1 to a - 1D) change the x to a 2
Answers
We have that:
- Raising a whole number to an exponent will make the value increase.
- Raising a fraction to an exponent, however, will make the value decrease.
- The +1 at the end is insignificant.
Therefore, given the function:
\(y=2\cdot3^x+1\)To find a new function that represents the exponential decay we must change the number 3.
Answer:
B. Change the 3 to a 1/3
determine if the figures below are similar. if they are, identify the similarity statement.
Answers
Answer:
Yes the are similar, they are similar because they have the same angles. They are the same shape as each other, just dilated.
Please help asap!!!
Answers
The exact values of trigonometric functions are, respectively:
sin (u + v) = - 13 /85
tan (u + v) = - 13 / 84
How to find the exact values of trigonometric functions
In this problem we need to determine the exact values of trigonometric functions, this can be done by using trigonometric formulas and relationships between trigonometric functions. We need to use the following expressions:
sin² x + cos² x = 1
sin (u + v) = sin u · cos v + cos u · sin v
tan x = sin x / cos x
tan (u + v) = (tan u + tan v) / (1 - tan u · tan v)
Where x, u, v are measured in radians.
Now we proceed to determine the exact values of each function:
cos u = √[1 - (- 3 / 5)²]
cos u = 4 / 5
sin v = √[1 - (15 / 17)²]
sin v = 8 / 17
sin (u + v) = (- 3 / 5) · (15 / 17) + (4 / 5) · (8 / 17)
sin (u + v) = - 13 /85
tan u = (- 3 / 5) / (4 / 5)
tan u = - 3 / 4
tan v = (8 / 17) / (15 / 17)
tan v = 8 / 15
tan (u + v) = (- 3 / 4 + 8 / 15) / [1 - (- 3 / 4) · (8 / 15)]
tan (u + v) = - 13 / 84
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Given the series 2 + two-thirds + StartFraction 4 Over 9 EndFraction + StartFraction 8 Over 27 EndFraction + StartFraction 16 Over 81 EndFraction + StartFraction 32 Over 243 EndFraction + ellipsis, which partial sums are correct? Check all that apply.
edge
Answers
Answer:
A and C
Step-by-step explanation:
Edge 2021
The partial sums are correct are Option A and Option C. That is: (2) and (28/9).
What is a partial sum?A partial sum (simply put) refers to the sum of the various parts that make up a sequence.
For example, in the above sequence given as:
2 + (2/3) + (4/9) + (8/27) + (16/81) + (32/243) + ...
A partial sum would be:
2 + (2/3).
In this case, thus,
Series 2 = 2 + (2/3) = 8/3 - incorrectSeries 3 = (8/3) + (4/9) = (28/9) CorrectSeries 4 = (28/9) + (8/27) = (92/27)Series 5 = (92/27) + (16/81) = 292/81
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Kari lives in Arizona and is purchasing a new laptop. The list price for the laptop is $399.99. How much will
Kari pay for the laptop after tax?
Answers
Answer:
$434.39
Step-by-step explanation:
Before tax the laptop was 399.99.
8.6% of 399.99 is 34.40
Add the two, 399.99+34.40
434.39
if point F is translated 6 units to the right and 5 units up , what are the coordinates of F'?
Answers
Answer:
Where is F to begin with? If F is at (0,0), then F' will be (6,5) But if F is at (3,-5), F' will be at (9,0).
Step-by-step explanation: Can i have brainliest pls
Answer:
6, 5
Step-by-step explanation:
move 5 up and 6 to the right
complete the following to make true statement.then determine the property applied
1)18+ =6 +18
2)-40 + =0
3)(10+3) + 6 - 10 +
4)-15 =-15
Answers
Answer:
1. 6 - commutative property of addition
2. 40 - additive inverses
3. (3+6) - associative property of addition
4. 0 - Identity property for addition
Which symbol correctly relates 23 ? 16 check all that apply
Answers
Answer:
C and E
Step-by-step explanation:
23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.
5f-9c=160 solve for f
Answers
Step-by-step explanation:
5f = 160+9c
f = {160+9c} ÷ 5
THIS IS DU IN 10 MINS
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Complete the explanation of how you can use base ten blocks to find 2.49 ÷ 3. I start with___ units,___tenths, and ____hundredths. Since 2 units cannot be divided equally between 3 groups, regroup the 2 units into____tenths. Then divide tenths and_____hundredths between 3 groups. Each group has tenths and hundredths.
Answers
Answer: So Im basicaly just replying to get points sorry
Look i sure someone will answer it soon good luck buddy I have faith in you
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLEIST
15 POINTS....
Answers
Answer:
B or C
Step-by-step explanation:
Answer:
B is correct
Step-by-step explanation:
Which of the following is the value of the polynomial 4x^3 + 2x^2 + 3x +7 when x=10
Answers
Answer:
Step-by-step explanation:
When \(x=10\),
\(4x^3 + 2x^2 + 3x +7=4(10^3)+2(10^2)+3(10)+7 =4000+200+30+7=4,237\)
What is the slope of the line?
Answers
The easiest way to find the slope is to find 2 points that are at an exact point. (-3,1) and (2,-3) are exact points. Start at (-3,1) and count to the right 5 and go down four. The slope would be \(\frac{5}{-4}\) or \(\frac{-5}{4}\).
I hope my explanation makes sense! :) If it doesn't make sense I can try to explain it better!
No bots answer fast plz 1. (4x + 8) + (7x + 3) =
Answers
………………………………….
Answer: 11x+11
Step-by-step explanation:
hope this helped u in any way
Need help someone? Please
Answers
Answer:
-5
Step-by-step explanation:
All of the numbers to the left of the origin on the x-axis are negative.
Hope this helps!
Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 5 ft at midnight, rises to a high of 9 ft, falls to a low of 1 ft, and then rises to 5 ft by the next midnight.
What is the equation for the sine function f(x), where x represents time in hours since the beginning of the 24-hour period, that models the situation?
Enter your answer in the box.
Answers
Answer:
y = 4sin( π/12) + 5
Step-by-step explanation:
For a sinusidal function :
y = Asin(w + c) + s
Where ; A = amplitude ; w= angular velocity, s = vertical Displacement, c = phase angle
A = (maximum - minimum) / 2
A = (9 - 1) /2 = 8/2 = 4 feets
w = 2π/T ; T = 24
w = 2π/24 = π/12
s = (maximum - minimum) / 2
s = (9 +1) /2 = 10/2 = 5
c = 0
Plugging our values into the general equation :
y = Asin(w + c) + s
y = 4sin( π/12) + 5