The line y = 2x + 5 would pass through which of the following points?
(0, 2)
(0, 10)
(0, 7)
(0, 5)
Answers
Hello!
\(\large\boxed{ (0, 5)}\)
Recall that the first number in the coordinate is 'x', and the second number is 'y'.
Since all the answer choices have '0' as the x-coordinate, we can substitute in this value for 'x' in the equation for the line to solve for the correct y-value.
y = 2(0) + 5
y = 5
The only answer choice that has this combination is D, (0, 5). This is the correct answer.
Answer: Hope this helps you!
D (0,5)
Step-by-step explanation:
In y = 2x + 5, the equation is the same as y = mx + b.
5, which is standing in the equation as b, the y-int, is equal to (0,5).
The reason 5 is (0,5) and not (5,0) is because the y-int is when the x is 0.
Full explanation of equation:
y = mx + b (M is the slope of the line) (B is the y-int) (Y and X are like (x, y))
Brainliest?
Related Questions
On a map, 1 in. represents 704 mi. How much does 3/8 in. represent?
Answers
Answer:
264 miles
Step-by-step explanation:
\(\frac{3}{8}\) × 704 miles
= 3 × 88 ( dividing 704 by 8 )
= 264 miles
If 32 teams participate in a standard single elimination tournament, how many games must be played to decide a champion?
Answers
======================================================
Explanation:
32/2 = 16 games will happen in round 1. Afterward, 16 teams are left.16/2 = 8 games will happen in round 2. Afterward, 8 teams are left.8/2 = 4 games happen in round 3.4/2 = 2 games in round 4.2/2 = 1 game as the final championship.Count the number of times you divide by two and we have five occurrences of this. So there five rounds overall.
To get the total number of games played, we add up the quotients
16+8+4+2+1 = 31
----------------
Or as a shortcut we can simply subtract off 1 since 1+2+4+...+2^n = 2^(n+1)-1
We can write that rule as
\(\displaystyle \sum_{k=1}^{n}2^k = 2^{n+1}-1\)
which is equivalent to
\(\displaystyle \sum_{k=1}^{n}2^{k-1} = 2^n-1\)
I'll give 30 for the right answer
the new Toyota can go 15 3/4 miles on 3/4 of a gallon of gas. a.) What is the gas mileage in miles per gallon? b.) How far could the car go on 15 gallons?
Answers
Answer:
Part A. The Toyota uses 21 miles per gallon.
Part B. The Toyota can go 315 miles using 15 Gallons.
Step-by-step explanation:
P.S Can I have brainliest?
The new Toyota can travel 315 miles with 15 gallons of gas.
Given that, the new Toyota can go 15 3/4 miles on 3/4 of a gallon of gas.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
A) Here, 15 3/4 miles can be written as 63/4
Now, the mileage = 63/4 ÷ 3/4
= 63/4 × 4/3
= 21 miles per gallon
B) Number of miles travelled with 15 gallons
= 21 × 15
= 315 miles
Hence, the new Toyota can travel 315 miles with 15 gallons of gas.
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This is a map of three towns. It shows the train line and the highway that connects the towns. The north direction is shown. The map is drawn to scale. The distance between Tounouse and Avaria is 250 kilometers. A new train line is to be built between Tounouse and Mt.Monotti. Estimate the distance between these two towns.
Answers
Answer:
about 106 km
Step-by-step explanation:
The distance between the two towns can be estimated several ways. In the attachment, we chose to measure the angles on the map. Using the law of sines, we can estimate the unknown distance.
The distance can also be estimated using the Tounouse-Avaria distance as a ruler. For best results, that ruler would need to be subdivided to an appropriate level.
__
angle measuresThe angles in the triangle can be measured using a protractor or some other tool. The attachment shows the results from a geometry program:
∠TMA ≈ 107°∠TAM ≈ 24°law of sinesThe law of sines tells us the distances are proportional to the sines of the opposite angles:
TM/sin(TAM) = TA/sin(TMA)
TM = sin(24°)×(250 km)/sin(107°) ≈ 106.3 km
The distance from Tounouse to Mt. Monotti is estimated to be about 106 km.
__
Alternate solution
Using a compass or dividers to project the TM distance onto TA, we find it is between 0.4 and 0.5 of the TA distance. The difference between 2×TM and TA can be estimated to be about 0.4×TM. That is, ...
TM ≈ TA/2.4 ≈ (250 km)/2.4 ≈ 104.2 km
This estimate is consistent with the one found using angle measures.
A car drives 60 miles per hour. Write and solve an equation to find the number of hours it takes the
car to travel 720 miles.
Answers
Answer:840 hours
Step-by-step explanation:You have to Add to get your answer.This is how I got 840:
60+60=120
120+720=840
Your answer is:840 hours
hope this was helpful :)
IQ tests are standardized and follow a normal distribution. On a common IQ test, the mean score is 100 with a standard deviation of 15. a) What is the probability that a randomly selected individual gets a score of 105 or higher
Answers
Given, On a common IQ test, the mean score is 100 with a standard deviation of 15To find, The probability that a randomly selected individual gets a score of 105 or higher Solution: Standard score can be calculated as z = (X - μ) / σwhere X is the raw score, μ is the mean, σ is the standard deviation z = (105 - 100) / 15z = 0.3333
Probability (p) of z can be calculated as: p = P(Z > 0.3333)We know that the standard normal distribution is symmetrical. Hence the area to the right of the mean is equal to the area to the left of the mean plus mean itself is 0.5.P(Z > 0.3333) = 0.5 - P(Z < 0.3333)Using standard normal distribution table, the value of P(Z < 0.3333) = 0.6293P(Z > 0.3333) = 0.5 - P(Z < 0.3333)= 0.5 - 0.6293= -0.1293
Since probability cannot be negative, the answer is 0. Hence the probability that a randomly selected individual gets a score of 105 or higher is 0. The probability that a randomly selected individual gets a score of 105 or higher is 0.More than 100 words: An IQ test is intended to determine a person's intelligence. Standardizing IQ tests allows comparison of scores from different IQ tests. A normal distribution is a bell-shaped curve where most values lie near the mean value. This means that, if a test follows a normal distribution, most people score close to the mean, with fewer scoring at the lower and higher ends. On a common IQ test, the mean score is 100, and the standard deviation is 15. A standard score (z-score) is calculated by subtracting the mean from a raw score and dividing by the standard deviation. The formula for calculating z-score is: z = (X - μ) / σFor instance, to calculate the z-score of a person who scores 105, the z-score formula is: z = (105 - 100) / 15 = 0.3333The standard normal distribution table can be used to look up the probability of a z-score being higher or lower than a particular value. In this case, we want to find the probability of a score of 105 or higher. Therefore, we need to find the area to the right of the z-score of 0.3333.
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What is the sign of the third term of the expansion of (x - y)n for n = 3, 4, and 5?
Answers
Cⁿ₁ is always positive, then the second term has negative sign.
What does binomial expansion mean?
Theorem that states that any power of a binomial (a + b) can be expanded as a specific sum of products (aibj), such as (a + b)2 = a2 + 2ab + b2.
The i-th term of the binomial expansion \((x- y)^{n}\)
Ti = nCi - 1 . (x)ⁿ+¹⁺i . (-y)i - 1
For any n, when i=2,
T₂ = nC₂₋₁ . xⁿ⁺¹⁻² . (-y)²⁻¹ = -Cⁿ₁ xⁿ⁻¹ . y
Given that is consistently positive, the second term has a negative sign.
Cn1 is consistently positive, and the second term is always negative.
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Find the surface area of a rectangular glass block whose volume is 1524cm³,if it is 72cm long and 48cm wide
Answers
Step-by-step explanation:
V=1524cm3 L=72B=48A=?NOW.A=LXB 72*48A=ANSWERAnswer:
The height is 0.4410cm and the total surface area is 7017.84 cm^2
Step-by-step explanation:
Use this Formula
That glass "block" which is is 72cm long and 48cm wide, is
less than half a centimeter high!
So it's not really a glass block. It's a sheet of glass to
be installed in a window as a window-pane!
So we wouldn't call the 0.4410 cm "the height", but rather,
"the THICKNESS" of the window pane.
The surface area is the total area of the front and back
surfaces which is two times this area:
A = LW
A = (72 cm)(48 cm)
A = 3456 cm2
Twice that is
Total area of front and back = 6912 cm2
The area of the left and right edges is twice this area:
A = LW (The width is the thickness)
A = (72 cm)(0.4410 cm)
A = 31.752 cm2
Twice that is 63.504 cm2
The area of the top and bottom edges is twice this area:
A = LW (The width is the thickness)
A = (48 cm)(0.4410 cm)
A = 21.168 cm2
Twice that is 42.336 cm2
Add all of it up:
Total area of front and back = 6912 cm^2
Total area of left and right long edges = 63.504 cm^2
Total area of top and bottom short edges = 42.336 cm^2
-----------------------------------------------------------------
Total surface area = 7017.84 cm^2
a boy kicks a 0.445kg soccer ball with the force of 75 newtons what is the acceleration of the soccer ball
Answers
Answer:
168.5 m/s^2
Step-by-step explanation:
Mr. Hall has two combines to harvest 625 acres of corn. One combine has a 12 row header and the other has an 8 row header. The combine with the 12 row header harvests 11.8 acres per hour using 1.5 gallons of diesel fuel per acre. At the same time, the combine with the 8 row header harvests 8.1 acres per hour using 1.4 gallons of diesel fuel per acre.a. Using both combines, how many acres do they harvest in an hour?b. How many hours does it take them to harvest his corn?C. How many acres does each combine harvest?d. How many gallons of diesel fuel are used?
Answers
Answer:
a. 19.9 acres per hour
b. 31.41 hours
c. 1st Combine: 370.6 acres
2nd Combine: 254.4 acres
d. 912.06 gallons
Explanation:
The first combine has a 12-row header and harvests 11.8 acres per hour using 1.5 gallons of diesel per acre.
The 2nd combine has an 8-row header and harvests 8.1 acres per hour using 1.4 gallons of diesel per acre.
Then, if we use both combines, the number of acres harvest in an hour can be calculated as the sum of the rate of each combine, so:
11.8 acres per hour + 8.1 acres per hour = 19.9 acres per hour
Now, we can use this rate (19.9 acres per hour) to know the number of hours to harvest 625 acres of corn as:
\(625\text{ acres }\times\frac{1\text{ hour}}{19.9\text{ acres}}=31.41\text{ hours}\)So, both combines take 31.41 hours to harvest all the corn.
To know how many acres each combine harvest, we will use the total number of hours and the rate of acres per hour for each combine.
So, for the first combine, we get:
\(31.42\text{ hours}\times\frac{11.8\text{ acres}}{1\text{ hour}}=370.6\text{ acres}\)For the second combine, we get:
\(31.42\text{ hours}\times\frac{8.1\text{ acres}}{1\text{ hour}}=254.4\text{ acres}\)Finally, to know the total number of gallons used, we need to know the number of gallons for each combine.
So, for the first combine (1.5 gallons per acre), we get:
\(370.6\text{ acres}\times\frac{1.5\text{ gallons}}{1\text{ acre}}=555.9\text{ gallons}\)For the second combine (1.4 gallons per acre), we get:
\(254.4\text{ acres}\times\frac{1.4\text{ gallons}}{1\text{ acre}}=356.16\text{ gallons}\)Then, the total number of gallons of diesel fuel used were:
555.9 gallons + 356.16 gallons = 912.06 gallons of diesel.
So, the answers are:
a. 19.9 acres per hour
b. 31.41 hours
c. 1st Combine: 370.6 acres
2nd Combine: 254.4 acres
d. 912.06 gallons
14. What is the slope of the following points?(-3, 7), (-3, -4)
Answers
the slope of the points is undefined
Explanation:The given points: (-3, 7), (-3, -4) = (x1, y1) , (x2, y2)
We apply the slope formula:
\(m\text{ = }\frac{y_2-y_1}{x_2-x_1}\)\(m\text{ = }\frac{-4-7}{-3-(-3)}=\text{ }\frac{-11}{-3+3}\)\(\begin{gathered} m\text{ = slope = -11/0} \\ \text{Anything divided by zero is undefined} \\ \end{gathered}\)Hence, the slope of the points is undefined
the general manager of a fast-food restaurant chain must select restaurants from for a promotional program. how many different possible ways can this selection be done?
Answers
The number of possible combinations will depend on the size of the restaurant chain. However, we can always use the formula nCr to calculate the number of different possible ways to select r items from a set of n items.
To determine the number of different possible ways the general manager can select restaurants for the promotional program, we need to use the formula for combinations. Let's say there are n restaurants in the chain, and the manager needs to select r restaurants for the program. The formula for combinations is:
nCr = n! / r!(n-r)!
In this case, the manager needs to select a certain number of restaurants, so r is a fixed value. Let's assume the manager needs to select 5 restaurants for the program. Then the formula becomes:
nC5 = n! / 5!(n-5)!
We don't know the value of n, but we can calculate the number of possible combinations for different values of n. For example:
- If there are only 5 restaurants in the chain, then the manager has no choice but to select all of them. In this case, there is only one possible combination.
- If there are 10 restaurants in the chain, then the manager can select any 5 of them. Using the formula, we get:
nC5 = 10! / 5!(10-5)! = 252
So there are 252 different possible ways for the manager to select 5 restaurants from a chain of 10.
- If there are 20 restaurants in the chain, then the manager has even more choices. Using the formula, we get:
nC5 = 20! / 5!(20-5)! = 15,504
So there are 15,504 different possible ways for the manager to select 5 restaurants from a chain of 20.
In general, the number of possible combinations will depend on the size of the restaurant chain. However, we can always use the formula nCr to calculate the number of different possible ways to select r items from a set of n items.
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Which scenario could be modeled by a quadratic function?
The population of a city increases by 2% each year.
A rocket is launched and reaches a maximum height of 200 ft before falling to the ground.
Diego deposits $75 into his savings account at the beginning of the year, then adds $20 each month.
An Uber driver travels through the city at different rates of speed throughout the day.
Answers
A quadratic function allows us to calculate the rocket's height at any given time, determine the time it takes to reach the maximum height, and predict its eventual descent.
A quadratic function could be used to simulate a situation in which a rocket is launched and reaches a maximum height of 200 feet before crashing to the ground. For this situation, the level of the rocket can be depicted by a quadratic condition since the movement follows an illustrative direction because of the powers following up on it.
We can use a quadratic function to estimate the rocket's height at any given moment, how long it will take to reach its maximum height, and when it will eventually descend. The inherent quadratic relationship that can be represented by a parabolic equation is not present in the other mentioned scenarios, such as population growth, deposits into savings accounts, and the varying speeds of an Uber driver.
example of quadratic function
The quadratic ability condition is f(x) = ax² + bx + c, where a ≠ 0. We should check out at a couple of quadratic capability models: f(x) = 2x² + 4x - 5; Here, an is 2, b is 4, and c is - 5. f(x) = 3x² - 9; A is three, B is one, and C is nine.
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Point A is at (-2, 4) and point C is at (4, 7). Find the coordinates of point B on AC such that the ratio of AB to AC is 1: 3.
Answers
Answer:
Step-by-step explanation:
To find the coordinates of point B on line segment AC such that the ratio of AB to AC is 1:3, we need to find a point that is one-fourth of the way from point A to point C.
One way to find the point is to use the midpoint formula:
Let the coordinates of point B be (x, y). Then, the midpoint of line segment AB is:
x = (x1 + x2)/2 and y = (y1 + y2)/2,
where x1 and y1 are the coordinates of point A and x2 and y2 are the coordinates of point B.
Setting x1 = -2 and y1 = 4, and x2 = x and y2 = y, we can solve for x and y:
x = (-2 + x)/2 and y = (4 + y)/2
Next, we can set the midpoint equal to the point that is one-fourth of the way from point A to point C, which can be found by averaging the coordinates of point A and C:
x = (-2 + 4)/4 = 1 and y = (4 + 7)/4 = 5.5
So, the coordinates of point B are (1, 5.5).
Continue the sequence by increasing each number in powers of 1000:
11345,____,____,____,____,____.
Answers
Answer:
12345,13345,14345,15345,16345
Step-by-step explanation:
which of the following numbers is divisible by 2 and 3?
A) 111
B)112
C)113
D)114
Answers
Answer:
D) 114
Step-by-step explanation:
111/6 is not integer. 112/6 is not an integer. 113/116 is not either. however, 114/6 is an integer.
Answer:
D) 114
Step-by-step explanation:
114/2 = 57
114/3 = 38
coat is 20% off. If the regular price of the coat is $225, what is the sale price of the coat?
Answers
Answer:
$180
Step-by-step explanation:
$225 times .20 = 45 . 225-45=180
Answer:
$180
Step-by-step explanation:
Find 1% of the price.
100% = 225
1% = 225 ÷ 100 = 2.25
100 - 20 = 80% (Percentage of sale price)
80% = 2.25 x 80 = 180
How does a domain restriction placed on a non-invertible function affect its inverse? drag a function or an interval into each box to correctly complete the statement.
Answers
A domain restriction placed on a non-invertible function affect its inverse.
Using inverse function concepts, it is found that:
The inverse of the function is \(y = \sqrt{x+3}-1\), and the domain of the inverse function is \(\left[-3,\infty ]\)
A function will have an inverse if for each output, there is only one respective input.
The domain of the inverse is the range of the original function.
The function given is:
\(f(x) = (x+1)^{2} -3\)
It's range is \(\left[-3, \infty]\), which will be the domain of the inverse.
To find the inverse, we exchange x and y, and isolate y, then:
\(y = (x+1)^{2} - 3\\ \\x = (y+1)^{2} - 3\\\\(y+1)^{2} = x+3\\ \\\sqrt{((y+1)^{2}} = \sqrt{x+3} \\\\y+1 = \sqrt{x+3}\\\\y = \sqrt{x+3} -1\)
The inverse of the function is \(y = \sqrt{x+3} -1\), and the domain of the inverse function is \(\left[-3, \infty]\).
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What is the answer of the Fractions listed? Will give Brainliest 20 points
Answers
Answer:
- 6 1/2
Step-by-step explanation:
-4 - 2 1/2
Since the signs are the same, we add them together and take the signs
4+2 1/2 = 6 1/2
Take the sign
- 6 1/2
Answer:
(-4) - 2 1/2 = -6.5
Step-by-step explanation:
( −4 ) − 2 1/2 = -13/2
-13/2 = -6 1/2
6 [ 13 - 2 ( 4 + 1 ) ] simply step by step
Answers
Answer:
18
Step-by-step explanation:
\(6(13 - 2(4 + 1)) \\ 6(13 - 2 \times 5) \\ 6(13 - 10) \\ 6 \times 3 \\ = 18\)
Answer:
18
Step-by-step explanation:
6[13-2(4+1)]
6[13-2(5)]
6[13-10]
6x3
18
Antoine owes $684. He can make six monthly automatic payments with a $2.50 fee for each
payment, or he can pay using a credit card. If he uses his credit card, he will pay $30 in
interest. How much money does he save by using automatic payments?
Answers
Answer:
honestly i got 273.6 so i'm thinking that he would have to pay about 273 times........
Step-by-step explanation:
Answer:
15$
Step-by-step explanation:
Find the length of the segment indicated below
Answers
The length of line segment AB in the triangle using the midsegment theorem is 64.
What is the length of line segment AB?
The Midsegment Theorem states that "the segment joining the midpoints of two sides of a triangle is parallel to and half the length of the third side."
From the diagram:
Midsegment = 3x + 5
Third side = 7x + 1
First, we solve for x, using the midsegment theorem:
( 3x + 5 ) = 1/2 × ( 7x + 1 )
Multiply both sides by 2:
2( 3x + 5 ) = ( 7x + 1 )
6x + 10 = 7x + 1
Collect and add like terms:
7x - 6x = 10 - 1
x = 10 - 1
x = 9
Now, we solve for line AB:
Line AB = 7x + 1
Plug in x = 9
Line AB = 7(9) + 1
Line AB = 63 + 1
Line AB = 64
Therefore, the line segment AB is 64.
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Rounding to the nearest ten, which two
numbers round to 40?
48
36
41
32
49
Answers
Answer:
48 and 32
Step-by-step explanation:
both numbers get rounded by 8 going up and down rounding it to 40
This solid is made from a cone and a cylinder of radius 5cm.
11 cm (l) cone length
7 cm (h) cylinder height
Find the total surface area of the solid, including the base, in terms of pi.
Answers
The object is cone and a cylinder combined,
So first we get the areas of both and sum the both.
TSA of a cylinder =2 πr+(r + h)
=2 π x (5)+(5+7)=43.41592654
Then the TSA of a cone
= πr(l + r)
π x5(11+5)=80 π
REMEMBER THEY HAVE THE SAME RADIUS SINCE THEY ARE JOINED!!
Therefore,
80 π + 43.41592654= 295cm squared to whole number
Answer:
200π cm².
Step-by-step explanation:
To find the total surface area of the solid made from a cone and a cylinder, we need to calculate the surface area of each component separately and then add them together.
1. Surface area of the cone:
The surface area of a cone can be calculated using the formula: πr(r + l), where r is the radius of the base and l is the slant height.
Given that the radius of the cone is 5 cm and the slant height is 11 cm, we can substitute these values into the formula to find the surface area of the cone.
Surface area of the cone = π(5)(5 + 11) = 80π cm²
2. Surface area of the cylinder:
The surface area of a cylinder can be calculated using the formula: 2πrh + 2πr², where r is the radius of the base and h is the height.
Given that the radius of the cylinder is also 5 cm and the height is 7 cm, we can substitute these values into the formula to find the surface area of the cylinder.
Surface area of the cylinder = 2π(5)(7) + 2π(5)² = 70π + 50π = 120π cm²
3. Total surface area:
To find the total surface area of the solid, we add the surface area of the cone to the surface area of the cylinder.
Total surface area = Surface area of the cone + Surface area of the cylinder
Total surface area = 80π + 120π
Total surface area = 200π cm²
Therefore, the total surface area of the solid, including the base, in terms of pi is 200π cm².
At noon on March 21st, what is the local sidereal
time?
a.
00:00
b.
06:00
c.
12:00
d.
18:00
e.
21:00
Answers
According to the question The local sidereal time (LST) at noon on March 21st is approximately 12:00 (option c).
To determine the LST, we need to consider the rotation of the Earth and its relation to the stars. LST is based on the apparent motion of the vernal equinox, which completes a full cycle in approximately 24 hours.
Since noon is halfway through the day, we can estimate that the LST at noon would be approximately half of 24 hours, which is 12:00. This assumes that we are considering a location where the local time is synchronized with the standard time zone and there are no factors like daylight saving time or variations in the location's longitude that can affect the LST calculation.
Therefore, the correct answer is option c) 12:00 local sidereal time.
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3.
After $x of discount, Emma paid $159 for her new sewing machine. Write the
expression for the original price of the sewing machine.
Answers
Answer:
$(159+x)
Step-by-step explanation:
Given
Discount price = $x
Amount Emma paid after discount = $159
Original price = Amount paid + Discount
Original price= $159 + $x
Hence the required expression is $(159+x)
John is saving to buy a new car that will cost him $24,000. John started his savings at the beginning of the school year and has been able to accumulate $1000 after the first month. John plans to continue his savings at a rate proportional to the amount he still needs to save. Determine John's savings amount as function of time Hint: A variable y is said to be proportional to a variable x if y=cx for some constant c.
Answers
John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.
John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.
We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:
S(t) = k * N(t)
where k is a constant of proportionality.
We need to find the value of k to determine John's savings amount at any given time.
Using the initial values, we can substitute t = 0 and t = 1 into the equation above:
S(0) = k * N(0) => $1,000 = k * $24,000 => k = 1/24
Now we have the value of k, and we can write John's savings amount as a function of time:
S(t) = (1/24) * N(t)
Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:
N(t) = $24,000 - S(t)
Substituting the expression for N(t) into the equation for S(t), we get:
S(t) = (1/24) * ($24,000 - S(t))
Simplifying the equation, we have:
24S(t) = $24,000 - S(t)
25S(t) = $24,000
S(t) = $24,000 / 25
Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.
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Which graph represents y as a function of x
Answers
hat is the maximum speed of a point on the outside of the wheel, 15 cm from the axle?
Answers
It depends on the rotational speed of the wheel. To calculate this speed, we need to know the angular velocity of the wheel.
The maximum speed of a point on the outside of the wheel, 15 cm from the axle, if we assume that the wheel is rotating at a constant rate, we can use the formula v = rω, where v is the speed of the point on the outside of the wheel, r is the radius of the wheel (15 cm in this case), and ω is the angular velocity of the wheel. Therefore, the maximum speed of a point on the outside of the wheel would be directly proportional to the angular velocity of the wheel.
The formula to calculate the maximum linear speed (v) is:
v = ω × r
where v is the linear speed, ω is the angular velocity in radians per second, and r is the distance from the axle (15 cm, or 0.15 meters in this case).
Once you have the angular velocity (ω) of the wheel, you can plug it into the formula and find the maximum speed of a point on the outside of the wheel.
Learn more about rotational speed here: brainly.com/question/17025846
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Find the measure of
Answers
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Explanation:
The angles SPT and TPU marked in red are congruent. They are congruent because of the similar arc markings.
Those angles add to the other angles to form a full 360 degree circle.
Let x be the measure of angle SPT and angle TPU.
86 + 154 + 60 + x + x = 360
300 + 2x = 360
2x = 360-300
2x = 60
x = 60/2
x = 30
Each red angle is 30 degrees.
Then,
angle SPQ = (angle SPT) + (angle TPU) + (angle UPQ)
angle SPQ = (30) + (30) + (86)
angle SPQ = 146 degrees
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Another approach:
Notice that angles QPR and RPS add to 154+60 = 214 degrees, which is the piece just next to angle SPQ. Subtract from 360 to get:
360 - 214 = 146 degrees