Answer:
he should get $16.20 back
Step-by-step explanation:
Which set of ratios below is equivalent to 4:5?
A. 8 to 10, 8/10
B. 8 to 10, 16/20
C. 15/20,20:25
D. 40/50,24:36
A spherical hot-air balloon has a diameter of 55 feet. when the balloon is inflated, the radius increases at a rate of 1.5 feet per minute. approximately how long does it take to inflate the balloon to two-thirds of its maximum volume? use π = 3.14 and v = four-thirds pi r cubed. 16 minutes 18 minutes 23 minutes 26 minutes
Time taken to inflate the balloon to two-thirds of its maximum volume is 16 minutes.
Given the diameter of the balloon = 55 ft
Let r be the radius of the balloon. Then r = 55/2 = 27.5 ft
Rate of change of radius = 1.5 ft/min.
The maximum volume of the balloon = \(\frac{4}{3}\pi r^3\) = \(\frac{4}{3}\times3.14\times 27.5^3\)
= 87069.583 \(ft^3\)
Two- thirds of the volume = (2/3) x 87069.583 = 58046.389 \(ft^3\)
Let R be the radius of the balloon with two-thirds of its maximum volume.
Then, \(\frac{4}{3}\pi R^3\) = 58046.389
⇒ \(R^3=\frac{3}{4\times3.14}\times 58046.389\) = 13864.583
⇒ \(R=13864.583^\frac{1}{3}\)
⇒ R = 24.023 ft
Now time taken to inflate balloon to the two-third of the maximum volume = 24.023/1.5 = 16 minutes approximately.
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Answer:
A) 16 minutes
Step-by-step explanation:
Hope this helps! Pls give brainliest!
What does the abbreviation CD stand for?
The abbreviation CD stands for "Compact Disc."
A compact disc is a small, portable, round disc that is used for storing and playing back digital audio, video, and other types of data. It was introduced in the early 1980s as a replacement for vinyl records and cassette tapes.
A CD is made up of a polycarbonate plastic layer that is coated with a reflective metal layer and protected by a clear plastic layer. Information is stored on the disc in the form of tiny pits and lands that are read by a laser beam in a CD player or computer CD-ROM drive.
CDs have a storage capacity of up to 700 MB, which allows for around 80 minutes of audio or several hours of compressed video. They are commonly used for storing music albums, software programs, and other types of multimedia content.
In addition to audio CDs, there are also CD-ROMs (read-only memory), CD-Rs (recordable), and CD-RWs (rewritable). CD-ROMs are pre-recorded discs that cannot be modified, while CD-Rs and CD-RWs can be burned or written with data by the user. CD-Rs can only be written once, while CD-RWs can be erased and re-written multiple times.
Overall, the abbreviation CD refers to the Compact Disc, a versatile medium for storing and playing back digital data.
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Given the following formula, solve for n. S=(n-2)180
Answer:
n= s/180 +2
Step-by-step explanation:
Hope this helps.
Answer:
n = S/180 +2
Step-by-step
S= (n-2)180
S/180=n-2
S/180+2=n
n=s/180+2
Quadratic Word Problems (Profit/Gravity) (SHOW WORK)
Nov 03, 9:48:22 AM
Watch help video
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find out
the time at which the rocket will reach its max, to the nearest 100th of a second.
y = -16a² + 190x + 72
Answer:
Submit Answer
attempt 1 out of 4
After 5.94 sec it will reach at maximum height.
What is quadratic equation ?An algebraic equation of the second degree in x is a quadratic equation. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the standard quadratic equation.
Calculationy = -16a² + 190x + 72
for maximum y value we need to find y'(x)
y' = -32x + 190
put y' = 0
-32x + 190 = 0
x = 5.94 sec
so after 5.94 sec it will reach at maximum height.
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Find the exact values of the trigonometric function of
The exact values of the trigonometric ratio sinθ, cosθ, tanθ, cscθ, secθ and cotθ are 4/5, 3/5, 4/3, 5/4, 5/3 and 3/4 respectively.
What are the exact values of sinθ, cosθ, tanθ, cscθ, secθ and cotθ?The figure in the image is right triangle.
Angle = θAdjacent to angle θ = 3Opposite to angle θ = 4Hypotenuse = 5To find the trigonometric values, we use the trigonometric ratio.
Sine = Opposite / Hypotenuse
sinθ = 4/5
Cosine = Adjacent / Hypotenuse
cosθ = 3/5
Tangent = Opposite / Adjacent
tanθ = 4/3
Cosec = 1/sin
cscθ = 1/sinθ
cscθ = 1/(4/5)
cscθ = 5/4
sec = 1/cos
secθ = 1/cosθ
secθ = 1/(3/5)
secθ = 5/3
cot = 1/tan
cotθ = 1/tanθ
cotθ = 1/(4/3)
cotθ = 3/4
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Joe is straight into running a half marathon in too much this week he ran 1,200,000 km on Monday 2400 m on Wednesday and 4.6 km on Friday what is the total distance in kilometer that he ran this week
Answer:
1202404.6
Step-by-step explanation:
1,200,000 + 2400 =1202400
1202400 + 4.6 = 1202404.6
What is the probability that either event will occur?
15
A
17
B
2
P(A or B) = P(A) + P(B)
P(A or B) = [?]
The probability that either event will occur is 0.83
What is the probability that either event will occur?From the question, we have the following parameters that can be used in our computation:
Event A = 18
Event B = 12
Other Events = 6
Using the above as a guide, we have the following:
Total = A + B + C
So, we have
Total = 18 + 12 + 6
Evaluate
Total = 36
So, we have
P(A) = 18/36
P(B) = 12/36
For either events, we have
P(A or B) = 30/36 = 0.83
Hence, the probability that either event will occur is 0.83
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For a two-tailed test at 12. 66% significance level, the critical value of z is:.
for a two-tailed test at a 12.66% significance level, the critical values of z are approximately +1.53 and -1.53. We are looking for the z-score that corresponds to the area to the right of it (for the positive critical value) equal to 0.0633.
For a two-tailed test at a 12.66% significance level, we need to find the critical value of z.
Step 1: Determine the significance level for each tail.
Since this is a two-tailed test, we need to divide the overall significance level (12.66%) by 2. This gives us 6.33% (or 0.0633 in decimal form) in each tail.
Step 2: Find the z-score associated with the given significance level.
To find the critical value of z, you can use a z-table or an online calculator. We are looking for the z-score that corresponds to the area to the right of it (for the positive critical value) equal to 0.0633.
Using a z-table or calculator, you'll find that the z-score is approximately ±1.53.
So, for a two-tailed test at a 12.66% significance level, the critical values of z are approximately +1.53 and -1.53.
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An airport parking lot charges a basic fee of $2 plus $1 per half-hour parked. what is the total charge from parking in the lot for 72 hours? a. $144 b. $146 c. $74 d. $72 please select the best answer from the choices provided a b c d
Using a linear function, the total charge from parking in the lot for 72 hours is of:
b. $146.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Both the basic fee, which is the y-intercept, and the hourly fee, which is the slope, are of $2, hence the cost of parking x hours is given by:
C(x) = 2x + 2
Hence the cost for parking 72 hours is:
C(72) = 2 x 72 + 2 = 2 x 73 = $146.
Which means that option b is correct.
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If f(x) = 3x + 5 and g(x) = -2x2 - 5x + 3, find (f + g)(x).
Answer:
A
Step-by-step explanation:
(f+g)(x) simply means you add f(x) and g(x).
\(-2x^2-5x+3x+3+5=(f+g)(x)\)
We can then simplify by combining like terms to get
\(-2x^2-2x+8\)
A is correct!
Which one?
A or B?
A pillow contains 8 ounces of stuffing.
How many ounces would 4 of the pillows contain?
Answer:
32 ounces
Step-by-step explanation:
8x4=32
There are 32 ounces of stuffing in 4 of the pillow.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A pillow contains 8 ounces of stuffing.
Now,
Since, A pillow contains 8 ounces of stuffing.
So, The amount of ounces in 4 of the pillow = 8 x 4
= 32
Thus, There are 32 ounces of stuffing in 4 of the pillow.
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please help me with this question
Answer:
y = 75x +1
is the correct answer hope it is helpful to you ☺️
The linear equation for this situation is,
⇒ y = 75x
And, There are 75 apple pick in one hour.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The graph shows how many apples Erin can pick if she ,maintain a constant rate.
Now,
Let two points on the graph are (0, 0) and (1, 75).
So, Slope of the graph (m) = (75 - 0) / (1 - 0)
= 75
Thus, The linear equation is;
⇒ y - y₁ = m (x - x₁)
⇒ y - 0 = 75 (x - 0)
⇒ y = 75x
Where, y is number of apples and x is number of hour.
Thus, Number of apple pick in one hour is;
⇒ y = 75 x 1
⇒ y = 75
So, There are 75 apple pick in one hour.
Therefore, The linear equation for this situation is,
⇒ y = 75x
And, There are 75 apple pick in one hour.
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1.
Calculate the resultant of each vector sum if à is 8N at 45⁰ and 5 10N at 68⁰.
Transfer between true bearing and quadrant bearing by using diagram. a) 130⁰ b) S20⁰W
2. Express the a+b and a
Calculation of Resultant vector sum: To find out the resultant vector sum, we need to find out the components of each vector (ax and ay) and add them up to find the resultant vector (R).
From the above diagram, ax1 = 8cos 45° = 5.65N ax2 = 10cos 68° = 3.33N ay1 = 8 sin 45° = 5.65N ay2 = 10 sin 68° = 9.13N
Rx = ax1 + ax2 = 5.65N + 3.33N = 8.98N
RY = ay1 + ay2 = 5.65N + 9.13N = 14.78N
R = √(Rx² + Ry²) = √(8.98² + 14.78²) = 17.15N
angle = tan⁻¹ (Ry/Rx) = tan⁻¹ (14.78/8.98) = 58.25°
Resultant of each vector sum is 17.15 N at 58.25°.Transfer between true bearing and quadrant bearing by using diagram. a) 130°If the angle is between 90° and 180°, subtract the angle from 180° to get the quadrant bearing.130° is in the second quadrant.
Quadrant bearing = 180° - angle = 180° - 130° = 50°S50°W (bearing) b) S20°W, If the angle is between 180° and 270°, subtract the angle from 270° and add S to get the quadrant bearing.20° is in the third quadrant. Quadrant bearing = 270° - angle + SN = 270° - 20° + S= 250°S20°W (bearing). 2. Expression of a + b and a the expression for a + b is as follows; ) For vector a: a = (ax1, ay1).
Therefore, a = 8N at 45°a + b = (8cos 45° + 10cos 68°) i + (8sin 45° + 10sin 68°) j For vector a; a = (ax1, ay1). Therefore, a = 8N at 45°a = (8cos 45°)i + (8sin 45°)j=a = (5.65)i + (5.65)j
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free bilirubin is transported by the blood to the liver. TRUE OR FALSE
True, free bilirubin is transported by the blood to the liver.
Macrophages begin the disposal of hemoglobin by separating the heme from the globin. They hydrolyze the globin into free amino acids, which can be used for energy-releasing catabolism or recycled for protein synthesis.
Bilirubin
Bilirubin is a red-orange compound that occurs in the normal catabolic pathway that breaks down heme in vertebrates. This catabolism is a necessary process in the body's clearance of waste products that arise from the destruction of aged or abnormal red blood cells.
Hemoglobin
Hemoglobin is a protein in your red blood cells that carries oxygen to your body's organs and tissues and transports carbon dioxide from your organs and tissues back to your lungs.
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Which of the following figures has an area that can be found using the
formula A = 8r2?
A. Circle
B. Pentagon
C. Square
D. Rhombus
HELP PLSS
BAnswer:
Step-by-step explanation:
Answer: circle
Step-by-step explanation:
Tihn can row at a rate of 6 mph in still water, it takes her 2 hours to row upstream from a dock to a park. She then rows back to the dock, and it only takes 40 minutes . What is the speed of the river current
Answer:
A. 3mph
Step-by-step explanation:
This is the answer for Edg 2020
Nancy had 30 stamps and Jane had 154 stamps. After each of them bought x more stamps, Jane had thrice as many stamps as Nancy.Equation in x terms. Value of X?
Answer:
X = 32
Step-by-step explanation:
Step 0, Set up the equation like this:
3(30 + x) = 154 + x
Step 1, Expand 3(30 + x)
=> 90 + 3x = 154 + x
Step 2, Subtract both side by 90
=> 3x = 64 + x
Step 3, Continue subtract both side by x
=> 2x = 64
Step 4, Divide both side by 2
=> x = 32
If you divide a number by a other number will it always be smaller?
Suppose that 18% of people own dogs. If you pick two people at random, what is the probability that they both own a dog
The probability that both randomly chosen people own a dog can be calculated using the concept of independent events. If 18% of people own dogs, it means that the probability of a person owning a dog is 0.18.
When picking the first person, there is a 0.18 probability that they own a dog. Now, assuming replacement (putting the person back before picking the second person), the probability that the second person also owns a dog is also 0.18.
To find the probability of both events occurring, we multiply the individual probabilities together: 0.18 * 0.18 = 0.0324.
Therefore, the probability that both randomly chosen people own a dog is 0.0324, which is equivalent to 3.24%. This means that if we were to repeat this random selection process many times, we would expect approximately 3.24% of the time to end up with two dog owners.
It's important to note that this calculation assumes independence between the events and replacement, meaning the probability of one person owning a dog does not affect the probability of the other person owning a dog.
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What are the domain and range of the function f(x)=x4-2x2-4
Answer:
domain: all real numbers
range: y ≥ -5
Step-by-step explanation:
The domain of any polynomial function is "all real numbers."
This polynomial is of even degree and has a positive leading coefficient. It will have a minimum value, but no maximum. We can get an idea of the minimum value by looking at the vertex form.
f(x) = x^4 -2x^2 -4
f(x) = (x^4 -2x^2 +1) -5 = (x^2 -1)^2 -5
The squared term will have a minimum value of 0, so the minimum of f(x) is -5.
The range is all real numbers greater than or equal to -5.
Find the smallest pair of 4-digit numbers such that the difference between them is 303 and their HCF is 101. Show your steps.
Please give answer immediately
Based on the information provided, the two numbers whose HCF is 101 are 1010 and 1313.
What is the HCF?The HCF is the highest common factor or in other words, the highest number by which two numbers can be divided. Let's start by listing the four digits numbers that can be the HCF related to 101.
101 x 10 = 1010
101 x 11 = 1111
101 x 12 = 1212
101 x 13 = 1313
Now, from these numbers, there are two numbers whose difference is 303.
1313 - 1010 = 303
Based on this, the two numbers are 1010 and 1313
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I need help with a math question
Answer:
2x+1/3 = 9 - 6
2x+1/3 = 3
2x + 1 = 3 × 3
2x + 1 = 9
2x = 9 - 1
2x = 8
x = 8/2
x = 4
Good luck :)
HI, i need help. im not sure how to do this. apparently people did it in 5th grade but.. i dont know
Answer:
Yeah people did not do this in 5th grade just to let you know
and just do the numbers pointing to the other numbers top to bottom
Step-by-step explanation:
Here are the shopping times (in minutes) of nine shoppers at a local grocery store.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of shopping times in that class.
(Note that we are using a class width of 6 .)
The answer for all 3 of the boxes is 3. The number of observations for each class interval of a variable is shown in group frequency distributions.
Complete the grouped frequency distribution for the data ?DISTRIBUTION OF GROUPED FREQUENCIES
The greatest score is H, while the lowest is L.
By dividing the range by a number of groupings or classes, you can estimate the class width w.
Establish the class intervals.
Add up the scores for each period in the appropriate number.
The shopping time (in minutes) of the nine shoppers are:
15, 16, 18, 20, 22, 25, 27, 28, 29 (just to make it easier to read, I rearranged everything from least to greatest.)
We can see, that 3 shoppers shopped for 15-20 minutes.
And, 3 shoppers shopped for 21-26 minutes.
And finally, 3 shoppers shopped for 27-32 minutes.
So the answer for all 3 of the boxes is 3.
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in july 2008, the u.s. population was approximately 302,000,000. approximately how many americans were there in july 2009 if the estimated 2008 growth rate was 0.88%?
Approximately 304,657,600 Americans were there in July 2009 based on the estimated 2008 growth rate of 0.88%.
To find the approximate US population in July 2009, we need to apply the growth rate of 0.88% to the initial population in July 2008.
Convert the growth rate from percentage to decimal:
0.88% = 0.0088
Calculate the number of people added to the population in 2008: 302,000,000 * 0.0088 = 2,657,600
Add this number to the initial population to find the population in July 2009:
302,000,000 + 2,657,600 = 304,657,600.
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An owl is flying 42 m above a field when it sees a mouse.
The distance from the owl to the mouse is 78 m.
Work out the angle of depression from the owl to the mouse.
Give your answer to 3 s.f.
Hence, there is a 28.22 degree depression from the owl to the mouse as the inverse tangent of the two sides.
what is angle ?An angle is a geometric shape made up of two rays or lines that share a termination known as the vertex. A whole circle has 360 degrees, which is how angles are typically measured. Angles can be acute (less than 90 degrees), right (exactly 90 degrees), obtuse (more than 90 degrees but less than 180 degrees), straight (exactly 180 degrees), reflex, or compound (any combination of these) (greater than 180 degrees but less than 360 degrees). Calculus, geometry, trigonometry, and other branches of mathematics all make use of angles.
given
To resolve this issue, we can make use of the tangent function. Let x be the depression angle between the owl and the mouse. Next, we have:
Tangent(x) = adjacent/opposite
where the distance between the owl and the mouse is on the adjacent side and the opposite side is the height of the owl above the field (42 m) (78 m).
Tangent(x) equals 42/78
When we take the inverse tangent of the two sides, we obtain:
x = (42/78) arctan
Calculating the answer, we discover:
28.22 degrees x
Hence, there is a 28.22 degree depression from the owl to the mouse as the inverse tangent of the two sides.
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3x + 2 - x + 2 = x + 8
3x+2-x+2=x+8
3x-x=2x
2+2=4
4x+4=x+8
-4 -4
4x=x+4
-x -x
3x=4
/3 /3
x=4/3 or 1 1/3 or 1.3333
---
hope it helps
Answer:
x = 4
Step-by-step explanation:
3x+2−x+2=x+8
Add the numbers
3 + 2 − + 2 = + 8 3 + 4 − = + 8 2
Combine like terms
3 + 4 − = + 8 2 + 4 = + 8 3
Subtract 4 from both sides of the equation
Simplify
Subtract the numbers
2x+4−4=x+8−4
2 = + 8 − 4
Subtract the numbers
2 = + 4 5
Subtract x from both sides of the equation
2 = + 4 2 − = + 4 − 6
Simplify
Combine like terms
Multiply by 1
Combine like terms
= 4
Solution
= 4
evaluate the integral. (use c for the constant of integration.) (4x x ) dx
The main answer is \(\frac{4}{3} x^3 + c\), where c is the constant of integration.
Finding a function's integral includes the basic mathematical idea of integration. Calculating the area under a curve, which represents the accumulation of values over an interval or the opposite process of differentiation, is what this method entails.
By multiplying the terms, we may first simplify the statement and evaluate the integral (4x × x) dx.
\(\int(4x^2) dx\)
The exponent is raised by one using the power rule of integration, and the exponent is then divided by the new exponent:
\(\int(4x^2) dx = \frac{4}{3} \times x^3 + c\)
\(\int(4x^2) dx = \frac{4}{3} x^3 + c\)
As a result, the integral of (4x × x) with respect to x equals \(\frac{4}{3} x^3 + c\), where c is the integration constant.
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