Answer:
15,225
Step-by-step explanation:
volume is length×width×height
29×25×21=15,225
A snail is at the bottom of a 10 foot well. Every
day, he crawls up 3 feet, but at night, he slips
down 2 feet. How many days will it take for him to get
out of the well?
Answer:
10 days.
Step-by-step explanation:
3-2 = 1 foot of progress per day.
Answer:
8 days
Step-by-step explanation:
We get 8 days because the snail gets one foot higher every day. By the morning of the 8th day, the snail is 7 feet up and just needs to climb its daily 3 feet and it will be out of the well. You don't need 10 days because the snail only falls at night.
An airline ticket costs $220. Jameson receives a 10% discount on the ticket but is also charged an 8.25% service fee. what is the discounted price of the ticket? What is the total cost of the ticket with the discount and service fee?
The discounted price of the ticket is $198.
The total cost of the ticket with the discount and service fee is $214.33.
What is a percentage?A percentage is a ratio or number that may be expressed as a fraction of 100. Moreover, it is denoted by the sign "%."
Given:
The cost of a ticket on an airline is $220.
And Jameson receives a discount of 10%.
To find the discounted price:
The discounted price = 220 - 220 x 10 / 100
The discounted price = $198.
And the service charge is 8.25%.
So, the amount of service charge,
= 198 x 8.25/100
= 16.33
The total cost of a ticket = $198 + $16.33 = $214.33
Therefore, the cost is $214.33.
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Using the following conversions between the metric and U.S. systems, convert the measurement.
Round your answer to 6 decimal places as needed.
1 meter= 3.28 feet
1 Liter= 0.26 gallons
1 kilogram = 2.20 pounds
26.794 yd = _________km.
By sing the following conversions between metric and US systems 26.794 yard = 0.024500 .
What is the value of 1meter in terms of centimeter ?
1 meter can be equal to 100 centimeters and suppose for x meters , then it could be around 100x centimeters .
Given,
1 meter= 3.28 feet
1 Liter= 0.26 gallons
1 kilogram = 2.20 pounds
we know that ,
1yard = 0.0009144 km
so ,
26.794 yard = 26.794*0.0009144 km
= 0.024500
Hence by sing the following conversions between metric and US systems 26.794 yard = 0.024500 .
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Solve for x.
5x−6=−403
Enter your answer in the box.
x =
Answer:
x=-79.4
Step-by-step explanation:
5x−6=−403
5x−6+6=−403+6
5x=−397
5x/5=−397/5
x=-79.4
i
You are given the difference of the numbers of boys and girls in a class and the ratio of boys to girls. How many boys
and how many girls are in the class?
4 more girls; 9 for every 13
There are
boys and
girls in the class.
Answer:
Maybe they are all 13s th am sure
Sara's mother bought 8 large oranges for $12.00. Sara said there was a ratio of 12 to 8, so the unit rate was $1.50 per orange. Sara's friend Daniel said he thought the ratio would be 8:12, so the unit rate would be 8/12 of an orange per dollar.
Explain how both Sara and Daniel might have found their unit rates and how both could be correct.
Sara calculated the unit rate as dollars per orange whereas Sara's friend Daniel calculated unit rate as oranges per dollar.
What is unit rate?
One of a given object constitutes a unit. The cost of only one of an item is its unit rate. With one as the denominator, this is written as a ratio. For instance, you would move 7 yards on average every second if you covered 70 yards in 10 seconds.
Sara said there was a ratio of 12 to 8, so the unit rate was $1.50 per orange, it means she is calculating the unit rate as dollar per oranges.
Whereas, his friend Daniel, he thought the ratio would be 8:12, so the unit rate would be 8/12 oranges per dollar.
In this way both the unit rates are correct.
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See attached for the question
Check the picture below.
Answer:
∠ U = 12°
Step-by-step explanation:
the inscribed angle RST is half the measure of its intercepted arc RT , then
arc RT = 2 × ∠ RST = 2 × 30° = 60°
the secant- tangent angle U is equal to half the difference of its intercepted arcs, that is
∠ U = \(\frac{1}{2}\) ( RS - RT ) = \(\frac{1}{2}\) × (84 - 60)° = \(\frac{1}{2}\) × 24° = 12°
Despite having developed a reputation as a good cook, I'm really not one. What I am is a really good recipe follower. I put my trust in real chefs whose recipes are posted here on Recipe Masters. Turns out, though, my trust was misplaced. Sadly, my weekly supper club dinner that featured a Recipe Masters recipe for meatball sub casserole turned into a pizza delivery night. If after reading this review, any of my fellow Recipe Masters subscribers are still set on trying this casserole recipe, here is my advice: Stop after the first step, when the sauce turns into an un-stirrable glob. Don't do as I did and continue on, believing things will improve. They won't. Following this recipe is a recipe for disaster. My advice for Recipe Masters is to ensure that recipes posted here are "tried and true," as advertised. We subscribers pay a fee for access to "top-notch, no-fail recipes." If we lose faith in your recipes, we might just turn to the free recipe sites all over the internet. Which sentence best summarizes the author's point of view about the casserole recipe posted on Recipe Masters?
The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.
The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.
Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.
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The point-slope form of a line that has a slope of Two-thirds and passes through point (6, 0) is shown below. y minus 0 = two-thirds (x minus 6) What is the equation in slope-intercept form? y = two-thirds x minus 12 y = two-thirds x minus 6 y = two-thirds x minus 4 y = two-thirds x minus 8
Answer:
y = (2/3)x -4
Step-by-step explanation:
Simplify the given equation.
y - 0 = (2/3)(x - 6)
y = (2/3)x -4
Answer:
Its C
Step-by-step explanation:
just took the test.
Hope this helps! :)
Use implicit differentiation to find an equation of the tangent line to the curve
sin(x+y)=4x−4y at the point (π,π)
Answer:
The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.
Step-by-step explanation:
o find the equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) using implicit differentiation, we can follow these steps:
Differentiate both sides of the equation with respect to x:
cos(x+y) * (1 + dy/dx) = 4 - 4dy/dx
Simplify by grouping the terms with dy/dx on one side and the rest on the other side:
cos(x+y) * (1 + dy/dx) + 4dy/dx = 4
Substitute x = π and y = π, since we want to find the equation of the tangent line at the point (π,π):
cos(2π) * (1 + dy/dx) + 4dy/dx = 4
Simplify:
-5dy/dx = 4 - cos(2π)
dy/dx = -4/5
Use the point-slope form of the equation of a line to write the equation of the tangent line:
y - π = (-4/5)(x - π)
Simplify:
y = (-4/5)x + (8/5) + π
The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.
A train travels 80 mph for 2 hours and then it travels 60 mph for 3 hours . What is its average speed over the entire 5-hour trip?
Answer:
68 mph
Step-by-step explanation:
80 m/hr * 2 hr = 160 miles
60 m/hr * 3 hr = 180 miles
total miles / total time = average speed
340 miles / 5 hr = 68 m p h
determine the interceptions of the line.2x + 5y = -6y- intercept: ( , )x- intercept: ( , )
we have the equation 2x + 5y = -6
pleaseee helppppppppp
Answer:
y is just being multiplyed by -4 :)
Step-by-step explanation:
in other words -4x
Answer:
y = -4x
Step-by-step explanation:
Rodrigo's hair is 10 2/7 inches long. The barber trims 1/4 inch. About how long is his his hair now ?
6x = 52 − 2y 5x + 7y = 70 Question 1 What is the first step when solving the given system by the elimination method?
The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
The equations are given below.
6x = 52 - 2y
6x + 2y = 52
3x + y = 26 ...1
5x + 7y = 70
(5/7)x + y = 10 ...2
Subtraction equation 2 from equation 1, then we have
3x - (5/7)x = 26 - 10
(16/7)x = 16
x = 7
Then the value of 'y' is given as,
3(7) + y = 26
21 + y = 26
y = 5
The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).
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What is the slope of the line
Answer:
3/4
Step-by-step explanation:
Solve the system of equations by graphing.
1. y = x - 1
y = 2x - 2
2. y = 4x
y = x + 3
3. y - x = 1
y = x - 2 + 3
Answer:
Step-by-step explanation:
1) x - 1 = 2x - 2
-x = -1
x = 1
2) 4x = x + 3
3x = 3
x = 1
3) x + 1 = x + 1
infinite solutions (parallel lines)
For graphing, just look at the y-intercept, in the equation y = mx + b.
b is the y-intercept, so, for you plot the y-intercpet on the y-axis. You look at m, which is the slope. For positive, you go up how many ever it says in the numerator and then to the right how many ever it says in the denominator. For a negative you do the same thing except you go down and then to the right, or up and to the left. For positive there is only up and then to the right. I hope this answers your question.
If v=4s to the power of 3 and s=2.5 units,what is the value of V?
Here are the cost of tickets at a cinema venue
Answer:
A=40.8 B=8
Step-by-step explanation:
A Explanation
£7.20*3=£21.6
£9.60*2=£19.2
19.2+21.6=40.8
B Explanation
£9.60*3=£28.8
86.40-28.8=57.6
57.6/7.20=8
Please can someone explain this question to me step-by step, i have a exam this Wednesday so pleasee help me!! Help is greatly greatly appreciated ^^
Thankyou!!
Answer:
AB = 45.688 metres
Step-by-step explanation:
* i used a scientific calculator for my working. i am not sure if calculators are permitted for your exam on Wednesday *
⭐AB = AD + DB
⭐AB = 16.5 + DB
Thus, we need to find DB in order to solve for AB.
First, I utilized the triangle sum theorem to find ∠BDC:
\(< BDC + < DCB + < B = 180\\ < BDC + 59 + 90 = 180\\ < BDC + 149 = 180\\ < BDC = 31\)
Then, I utilized the linear pair sum to find ∠ADC:
\(< ADC + < BDC = 180\\ < ADC + 31 = 180\\ < ADC = 149\)
Next, I utilized the triangle sum theorem to find ∠DAC:
\(< DAC + < ADC + < ACD = 180\)
\(< DAC + 149 + 10 = 180\)
\(< DAC + 159 = 180\)
\(< DAC = 21\)
After, I utilized the law of sines to find DC:
\(\frac{sin10}{16.5} = \frac{sin21}{DC}\)
\(DCsin10 = 16.5sin21\)
\(DC = \frac{16.5sin21}{sin10}\)
\(DC = 34.052\)
Then, I utilized the sine function to find DB for ΔBDC:
\(sin(59) = \frac{DB}{34.052}\)
\(34.052sin(59) = DB\)
\(29.188 = DB\)
Finally, I substituted DB into our original equation for AB:
\(AB = AD + DB\)
\(AB = 16.5 + 29.188\)
\(AB = 45.688 metres\)
Good luck on your exam on Wednesday! :-)
The height of the pole will be equal to 45 meters.
Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.
Given that the angle BCD is 59 and the angle BCA is 69. The height will be calculated as,
tan(59) = BD / BC
BC = BD / tan(59)
BC = 0.6BD
tan(69) = AB / BC
tan(69) = ( 16.5 + BD ) / BC
BC = 0.38( 16.5 + BD )
Equate the values of BC,
0.6BD = 0.38 ( 16.5 + BD )
0.6BD = 6.27 + 0.38BD
0.22BD =6.27
BD = 28.5 meters
The height of the pole is,
AB = AD + DB
AB = 16.5 + 28.5
AB = 45 meters
The height is 45 meters.
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one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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The diameter of a circular plate is 12 inches. What is the area of the plate? Round your answer to the nearest tenth of a square inch.
Answer:
Plate Area = PI * radius^2
Plate Area = 3.14159 * 6 * 6
Plate Area = 113.09724 square inches
Plate Area = 113.1 square inches (rounded)
Step-by-step explanation:
Answer 70 Points!
The local government is concerned with the population of a new predatory fish, the tiger gar, which was first observed in Lake Richmond about 5 years ago.
The following table shows the approximate number of tiger gars living in the lake since 2016
This is an example of Exponential _________.
A. Decay
B. Growth
Answer:
Step-by-step explanation:
Answer now Thanks day was
My checking account balance was $443 on February 1st and $872 on February 7th. Show the rate of change
Answer:
$61.29 per day.
Step-by-step explanation:
Checking account balance on February 1st: $443
Checking account balance on February 7th: $872
Difference in balances: $872 - $443 = $429
Number of days between February 1st and February 7th: 7 days
Rate of change = Difference in balances / Number of days
Rate of change = $429 / 7 days
To find the rate of change per day, divide the difference in balances by the number of days:
Rate of change = $429 / 7 days ≈ $61.29 per day
Therefore, the rate of change in your checking account balance during that period was approximately $61.29 per day.
suppose that prices of a gallon of milk at various stores in one town have a mean of $3.55 with a standard deviation of $0.14 . using chebyshev's theorem, state the range in which at least 75% of the data will reside. please do not round your answers.
At least 75% of the data might very well fall between $3.25 and $3.81. According to Chebyshev's theorem, at least 75% of the value systems in a distribution are well within 2 the mean standard deviation.
A delivery has at least 89% of its values inside of three of the mean's standard deviation.
We have the following in this problem:
Mean = $3.53
$0.14 is the standard deviation.
Using Chebyshev's Theorem, determine the range that contains least 75% of the information will live.
2 standard deviations from the mean.
So 3.53 - 2*0.14 = $3.25 becomes 3.53 + 2*0.14 = $3.81.
At least 75% of the data might very well fall between $3.25 and $3.81.
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What is the volume of this figure?
Enter your answer in the box.
yd³
The volume of the composite figure is
4095 cubic ydHow to find the volume of the composite figureThe volume is calculated by dividing the figure into simpler shapes. and adding the individual volumes
The simple shapes used here include
trapezoid andrectangleVolume of rectangle = length x width x depth
= 30 * 9 * 7
= 1890 cubic yd
Volume of trapezoid = 1/2 (sum of parallel lines) x height x depth
= 1/2 (30 + 19) x 10 x 9
= 2205 cubic yd
Total volume
= 1890 cubic yd + 2205 cubic yd
= 4095 cubic yd
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struggling hard with probability questions, if anyone could help would be greatly appreciated, will give brainiest
The value of the probability is P(Large or Blue) = 7/10
How to evaluate the probability?The given parameters are represented on the table
Using the table parameters, we have
P(Large or Blue) = [(Large) + (Blue) - (Large and Blue)]/Total
This gives
P(Large or Blue) = ((17 + 8) + (17 +3) - 17)/(17 + 3 + 8 + 12)
This gives
P(Large or Blue) = 28/40
Simplify
P(Large or Blue) = 7/10
Hence, the value of the probability is P(Large or Blue) = 7/10
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For each situation, determine why the situation cannot be modelled after a binomial distribution. (2 pts each)a. A bowl of candy contains 23 Pluto Bars, 21 Jolly Farmers, 14 Husky's Kisses, 21 Finnish Fishes, and 18 HairHeads. Kristina decides to pull out 77 pieces of candy, without putting any back, and count only the number of Jolly Farmers that she grabs.b. A bowl of candy contains 23 Pluto Bars, 21 Jolly Farmers, 14 Husky's Kisses, 21 Finnish Fishes, and 18 HairHeads. Ian decides to pull out 70 pieces of candy, with replacement, and record each type of candy the he pulls.c. A bowl of candy contains 23 Pluto Bars, 21 Jolly Farmers, 14 Husky's Kisses, 21 Finnish Fishes, and 18 HairHeads. Marissa decides to pull out pieces of candy, with replacement, until a Husky's Kiss is pulled.
The question is geometric distribution. We are concerned with just the first success. That means there is no fixed number of trials
How to solve this
Before a situation can model binomial distribution.
1) There should be a fixed number of trial2) Each trial should have two possible outcomes (success or failure)3) The probability of success is the same for each trial.4) The trials are independent.For question a.
The probability of success is not the same for each trial. Since we are not putting any back. So it cannot be modeled as binomial distribution
For question b.
This has many outcomes not just success and failure.
Lan needs to record Pluto bar, jolly farm, husky kisses, finish fish, and hair heads.
For question c.
The question is geometric distribution. We are concerned with just the first success. That means there is no fixed number of trials
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Ian suffered a loss of 10% when his watch was sold at $90. How much should he have sold his watch if he wanted to make a gain of 20%?
Explanation:
This problem is a simple percent chage problem. The absoluge change in price was $12−$8=$4. Relative to the original price, it was 412, which is 0.3333 or 33.33%.