Answer: 0.15km/min and 0.3km in 2 mins
Step-by-step explanation:
Given Data:
Cyclists speed = 9km/hr
1. Some traveling 60 km/h is traveling one km/min
60/60= 1 km/min
Rate in km/min
= 9km/hr / 60min
= 3/20 km/min
= 0.15 km/min
Kilometers travelled in 2mins
= 2 / 60
= 1 / 30
= 9km/hr * 1 / 30
= 9 / 30
= 0.3 km in 2mins
Answer:
Rate(in km/min) = 0.15 km/min
Distance traveled in 2 mins = 0.3 km
Step-by-step explanation:
Rate = 9 km/hr
1 hr = 60 mins
In 60 minutes, the cyclist rides 9 km
in 1 minute, the cyclist will ride 9/60 km
Therefore, the rate in km/min = 9/60 km/min
Rate(in km/min) = 0.15 km/min
Since the cyclist rides 0.15 km in 1 min,
In 2 mins, the cyclist will ride 0.15 * 2 km = 0.3 km
Distance traveled in 2 mins = 0.3 km
What is the total number of outcomes for choosing a number from 1 to 10 in a day of the week use the fundamental counting principle
Answer:
Total number of outcomes in a week = 70
Step-by-step explanation:
Given:
Total number of outcomes = 10
Outcomes = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Number of days in a week = 7
Find:
Total number of outcomes in a week
Computation:
Total number of outcomes in a week = Total number of outcomes in a day × Number of days in a week
Total number of outcomes in a week = 10 × 7
Total number of outcomes in a week = 70
- Alisha had 3/4 yards of ribbon. She wanted to use it to decorate
three picture frames. If she uses one-third of the ribbon on each
frame, how many yards of ribbon will she use for one frame?
Answer:
1/4 yards
Step-by-step explanation:
3/4 is the total. Divide the total by 3 to get the answer.
Can someone help me ASAP!!!
Answer:
Slope= -7
Step-by-step explanation:
I like to use the rise/run method.
Take the point at (1,-2) and count up to (1, 7). Then because it is going left, you count your run over 3 points. Or you could do.
[tex]\frac{y2-y1}{x2-x1} = slope[/tex]
Answer:
-The slope of the following graph:
[tex]m = 3[/tex] or [tex]m = -3[/tex]
Step-by-step explanation:
-To find the slope you need this:
[tex]m = \frac{rise}{run}[/tex]
-So, according to graph the it shows that there are two point (1,-2) and (-2,7). To start from the first point to the second point, you need to count how far up or down (vertical) and how left or right (horizontal):
Rise: 9
Run: 3
or
Rise: 9
Run: -3
After you have the rise and the run, you need to solve the equation in order to get the slope:
[tex]m = \frac{9}{3}[/tex] or [tex]m =\frac{9}{-3}[/tex]
[tex]m = 3[/tex] or [tex]m = -3[/tex]
So, therefore the slope of the following graph is [tex]m = 3[/tex] or [tex]m = -3[/tex].
Which improper fraction shows the value of the shaded portion of the image?
Five-fourths
StartFraction 39 over 5 EndFraction
StartFraction 37 over 5 EndFraction
StartFraction 39 over 8 EndFraction
Answer:
i dont know
Step-by-step explanation:
Answer:
I believe it is 39/8
and I got it right on edge 2020
To solve the system of linear equations 8 x + 5 y = 18 and 6 x + y = negative 2. by using the linear combination method, Amos decided that he should first multiply the second equation by –5 and then add the two equations together to eliminate the y-terms. His calculations are as shown. 8 x + 5 y = 18. + 6 x minus 5 y = 10. 14 x = 28. StartFraction 14 x Over 14 EndFraction = StartFraction 28 Over 14 EndFraction. X = 2. 6 x + y = negative 2. 6 (2) + y = negative 2. 12 + y = negative 2. 12 + y minus 12 = negative 2 minus 12. y = negative 14. Amos’s solution is (2, –14). What did he do wrong? He multiplied the equation 6 x + y = negative 2. by –5 incorrectly. He added the equations 8 x + 5 y = 18 and 8 x + 5 y = 18 incorrectly. He substituted 2 into the equation 6 x + y = negative 2. incorrectly. He solved the equation 12 + y = negative 2 for y incorrectly.
Answer:
(A)He multiplied the equation[tex]6x+ y = - 2[/tex] by –5 incorrectly.
Step-by-step explanation:
To solve the system of linear equations:
8 x + 5 y = 186 x + y = -2.Part of Amos' calculations is shown:
8 x + 5 y = 18.
6 x -5 y = 10.
When you multiply 6x+y =-2 by -5, we have the expression:
-30y-5y=10.This was not Amos' result as he got 6 x -5 y = 10.
Therefore, he multiplied the equation[tex]6x+ y = - 2[/tex] by –5 incorrectly.
The correct option is A.
Which of the following graphs has a slope of
-5 and a y-intercept of 4?
Answer: B.
Step-by-step explanation:
I hope this helps!
Geometry Question Help please
Ans
It 1750
Step-by-step explanation:
You have to multiple
Find the midpoint of A and B where A has coordinates (2,4) and B has coordinates (-3,-9)
What is 7-5 pls help
Answer: The answer is 2 :)
Step-by-step explanation:
Answer:
778
Step-by-step explanation:
What is the area of the right triangle
Answer:
3.75
Step-by-step explanation:
2.5*1.5=3.75
Simplify: 64r^8
8r^2
8r^4
32r^2
32r^4
Answer:
8r^4
explanation:
Which statements about the ellipse are true? Check all that apply.
The center is located at (2, –1).
The major axis is 8 units long.
The minor axis is 3 units long.
The vertices are 4 units above and below the center.
The foci are √ 7 units above and below the center.
The foci are located along a horizontal line.
Answer:
1,2,4,5
Step-by-step explanation:
Answer:
1, 2, 4, and 5
Step-by-step explanation:
just did the work
What is the area of the shaded region?
21 m
23 m
10 m
34 m
Answer:
572
Step-by-step explanation:
Answer:
572 m
Step-by-step explanation:
step 1: find area of big box
23 m x 34 m = 782 m
step 2: find area of small box
21 m x 10 m = 210 m
step 3: subtract small box area from big box area to get shaded region
782 m - 210 m = 572 m
Park Street, Scott Street, and Oak Street form a triangle. If the angle formed by Oak Street and Park Street is 62° and the angle formed by Park Street and Scott Street is 58°, which lists the sides of the triangle from least to greatest?
Answer:
oak,park,scott
Scott > Park > Oak this will be the required arrangement.
What is triangle?A triangle is a three-sided polygon that closes in a space. It uses lines, line segments or rays to form the three sides. When three sides form and meet, they create three vertices, or corners.
A triangle is a closed polygon with three angles and sides.
The corners inside the triangle are interior angles. The corners outside the triangle are exterior angles.
The sum of the three angles of a triangle is 180°.
Given that the three streets Park Street, Scott Street, and Oak Street form a triangle.
Making angles = Oak Street and Park Street is 62° and the angle formed by Park Street and Scott Street is 58°,
We need to list the sides of the triangle from least to greatest,
Now the third angle = 180°-(58°+62°)
= 180°-120
= 60°
So, we know that in a triangle the greatest angle is opposite to the largest side and the smallest angle is opposite to the shortest side,
So, according to property we can say,
Scott > Park > Oak this will be the required arrangement.
Learn more about triangles click;
https://brainly.com/question/2773823
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Persuade Mr. Zorn whether the numbers 12, 16, and 20 make a right triangle or not. Make sure to state reasons for or against your belief.
Answer:
Yes!
Step-by-step explanation:
In Pythagorean Triples, the two legs always have to add up to be a greater number than the hypotenuse. In this case, 12 and 16 are the legs and 20 is the hypotenuse. The sum of 12 and 16 is 28. That is more than 20, so 12, 16 and 20 make a right triangle. I hope this helps you!
Final answer:
The numbers 12, 16, and 20 satisfy the Pythagorean Theorem, confirming that they indeed form a right triangle, as the sum of the squares of 12 and 16 is equal to the square of 20.
Explanation:
To persuade Mr. Zorn whether the numbers 12, 16, and 20 make a right triangle or not, we need to use the Pythagorean Theorem, which is a fundamental principle in Euclidean plane geometry that applies to right triangles. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be expressed as c² = a² + b², where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides.
For the given numbers 12, 16, and 20, we need to determine if 20² equals 12² + 16²:
12² = 144
16² = 256
20² = 400
Now, add the squares of the lengths of the two smaller sides:
144 + 256 = 400
Indeed, the sum of the squares of 12 and 16 equals the square of 20, which confirms that these side lengths do form a right triangle according to the Pythagorean Theorem. Thus, the numbers 12, 16, and 20 do in fact make a right triangle.
Which formula is used to calculate the standard deviation of sample data?
Answer:
step by step explanation:
Calculate the mean (simple of the numbers).
For each number: subtract the mean. Square the result. Add all of the squared results.
Divide the sum by one less than the number of data points (N-1). This gives you the sample variance.
Finally, take the square root of this value to obtain the simple standard deviation.
Answer: A
Step-by-step explanation:
A on edge 2022
A veterinarian surveys her clients and finds that 32 percent of the households have dogs, 25 percent have cats, and 11 percent have both dogs and cats. Let event C be choosing a client who has cats and let event D be choosing a client who has dogs. Which statements are true? Check all that apply.
P(C | D) = 0.78
P(D | C) = 0.44
P(C ∩ D) = 0.11
P(C ∩ D) = P(D ∩ C)
P(C | D) = P(D | C)
Answer:
B C D
Step-by-step explanation:
ED 2020
Answer:
B: P(D | C) = 0.44
C: P(C ∩ D) = 0.11
D: P(C ∩ D) = P(D ∩ C)
next is C: 2/9
then C: P(Y | X) = P(Y)
and F: P(X | Y) = P(X)
next is
10/26
5/14
not independent
Step-by-step explanation:
edg2021
What is the value of p in the equation of 2(3p -4) = 10
Answer:
p=3
Step-by-step explanation:
2(3p -4) = 10
6p-8=10 (distribute the 2)
6p=18 (add 8 to both sides)
p=3 (divide 3 from both sides)
Answer:
p = 3
Step-by-step explanation:
2 • (3p - 4) - 10 = 0
What is the area of the triangle?
A cylindrical feed silo has a diameter of 45 feet and a height of 30 feet. What is the volume of the largest sphere that will it into the game
A) 10677.9 Ft^ 3
B) 14,237.2 Ft^3
C) 42,711.6 Ft^3
D) 47,712 Ft^3
Answer:
The correct volume of the largest sphere that fits inside the silo is 14,137.2 ft³
Step-by-step explanation:
Since the sphere must feet inside the silo it's diameter must be at most 30 feet, therefore it's radius is 15 feet. To calculate the volume of the sphere we can use the appropriate formula:
Volume = (4/3)*pi*r³
Volume = (4/3)*3.14*(15)³
Volume = 14137.2 ft³
The correct volume of the largest sphere that fits inside the silo is 14,137.2 ft³. The nearest option would be B.
Final answer:
The volume of the largest sphere that can fit into the cylindrical feed silo is calculated using the formula for the volume of a sphere, resulting in 47,712 ft³, which corresponds to option D.
Explanation:
The question asks for the volume of the largest sphere that can fit into a cylindrical feed silo with a diameter of 45 feet and a height of 30 feet. To find the volume of the sphere, we need to consider the diameter of the cylinder because the diameter of the silo will be the same as the diameter of the sphere that can fit inside it. Hence, the radius of the sphere (and cylinder) is half of the diameter, which is 22.5 feet. The formula for the volume of a sphere is V = (4/3)πr³. Substituting the radius into the formula gives us V = (4/3)π(22.5)³ = 47,712 ft³.
Four rulers and three pencils cost £2.15
Three rulers and four pencils cost £2.05
Work out the cost of a ruler and the cost of a pencil.
Answer:
is it 10 cents lesser
Step-by-step explanation:
A random survey shows that 14 out of 21 students plan to vote for Jacob for class president. Which is the best prediction of the total number of votes Jacob will receive if 180 students vote?
A.35
B.90
C.120
D.173
Answer:
C. 120 Votes
Step-by-step explanation:
14/21 will get you 66.6. Taking that number and multiplying it by the 180 total students will end you with 120 which is your answer.
Suggest a universal set for the sets given below:
{ odd number less than 8 }, {prime number less than 8} and {even number between 3 and 8}
Step-by-step explanation:
A = ( 1 3 5 7) B = (2 3 5 7) C = (4 6)
U = ( 1 2 3 4 5 6 7)
Find the value of x below
Answer:
x=58 degrees
Step-by-step explanation:
The angle DB is equal to 90 degrees, so if you subtract 32 from 90 you get x, which is 58.
Which are the same as 26?
Choose all answers that apply
A 10+10+10+10+10+10+1+1
B 10+10+6
C 20+60
D 10+10+1+1+1+1+1+1
Answer:
B and D
Step-by-step explanation:
Mais teacher gives 4 quizzes each worth 5 points after three quizzes she has the score 4, 3, and 4. What does she need to get on her last quiz to have a mean score of 4
Answer:
5
Therefore, she must get 5 points from the last quiz to have a mean score of 4
Step-by-step explanation:
Mean is the average of a set of data, it is the sum of the data divided by the number of data.
To have a mean of 4 from 4 quizzes;
Let x represent the total;
mean = x/4
4 = x/4
x = 4 × 4 = 16
To have a mean of 4 he must have a total score of 16.
Let y represent her score in the last quiz;
16 = 4+3+4+y
16 = 11+y
y = 16-11 = 5
Therefore, she must get 5 points from the last quiz to have a mean score of 4
The teacher needs to get a score of 5 on her last quiz to have a mean score of 4.
To find out what score the teacher needs on the last quiz to have a mean score of 4, we can use the formula for mean (average):
Mean = (Sum of all scores) / Number of quizzes
Given:
- The teacher has taken 3 quizzes with scores of 4, 3, and 4.
- The mean score she wants is 4.
- Each quiz is worth 5 points.
Let x be the score she needs on the last quiz.
Sum of all scores = 4 + 3 + 4 + x = 11 + x
Number of quizzes = 4 (as she takes 4 quizzes in total)
Now, we can set up the equation and solve for x:
Mean = (Sum of all scores) / Number of quizzes
4 = (11 + x) / 4
4 * 4 = 11 + x
16 = 11 + x
x = 16 - 11
x = 5
Therefore, the teacher needs to get a score of 5 on her last quiz to have a mean score of 4.
What is Pythagorean Therom and how is it used?
Answer:
The Pythagorean Theorem in a^2 + b ^2 = c^2
It is used to solve for one side of a right triangle (any triangle where one angle is 90 degrees). Most of the times it is used to solve for the hypotenuse, which is represented by c. A and B represent the other sides of the triangle.
The Pythagorean Theorem also states that the sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse.
In other words, for the triangle shown below, a² + b² = c².
In the image below, I have drawn a triangle on my whiteboard.
In the triangle that is shown below, the legs, a and b, are the perpendicular sides of the right triangle and the hypotenuse, c, is the side opposite the right angle.
This only applies to right triangles!
You can use this theorem to find out if a triangle is an acute triangle, a right triangle, or even an obtuse triangle.
PLEASE HELP ASAP!!! 2. Calculate the volume of this solid using the formula V=Bh (all angles are 90 degrees).
Answer:
V = 27/64 cubic inches
Step-by-step explanation:
Given the information in the photo:
The height: 3/4 inThe length : 3/4 inThe width : 3/4 inThe volume of this solid using the formula
V=Bh where:
h is the height B is the area of the base = The length * The width=> The volume of this solid is:
V = 3/4 * 3/4 * 3/4
<=> V = 27/64 cubic inches
Hope it will find you well
If you help me get this right i will mark u as most brilliance!
Answer:
f(0) = -2
f(4) = -14
f(-1) = 1
Step-by-step explanation:
f(x) = -3x-2
f(0) means let x=0
f(0) = -3(0) -2
= 0-2
= -2
f(4) means let x =4
f(4) = -3(4) -2
= -12 -2
= -14
f(-1) means let x =-1
f(-1) = -3(-1) -2
= 3 -2
= 1
Answer:
f(0) = -2
f(4) = -14
f(-1) = 1
Step-by-step explanation:
To find each answer, you substitute the number in the parentheses for x.
-3(-0) - 2 = -2
-3(4) - 2 = -14
-3(-1) - 2 = 1
h(t)= -16t^2 + 87t. find the average rate of change of the height of the ball from 2 to 4.5 seconds
Answer:
-17 ft/s
Step-by-step explanation:
The average rate of change is the difference in height on the interval, divided by the difference in time.
m = (h(4.5) -h(2))/(4.5 -2) . . . . . . . . definition of rate of change on [2, 4.5]
h(4.5) = (-16·4.5 +87)(4.5) = 67.5
h(2) = (-16·2 +87)(2) = 110
Then ...
m = (67.5 -110)/(2.5) = -17
The average rate of change on the interval from 2 to 4.5 seconds is -17 ft/s.
_____
Check
The slope of the curve is given by its derivative:
h'(t) = -32t +87
The midpoint of the interval is (2+4.5)/2 = 3.25.
The slope at the midpoint is ...
h'(3.25) = -32(3.25) +87 = -17 . . . . average rate of change on [2, 4.5]
For a quadratic function. the average rate of change on an interval is the slope of the function at the midpoint of the interval. This calculation confirms that.
Final answer:
The average rate of change of the height of a ball described by the function h(t) = -16t^2 + 87t from 2 to 4.5 seconds is calculated using the difference in height values at these points divided by the difference in time, resulting in -17 feet/second.
Explanation:
The student asks to find the average rate of change of the height of a ball, given the function h(t) = -16t2 + 87t, from t = 2 seconds to t = 4.5 seconds. To find the average rate of change, we will use the following formula:
Average Rate of Change = (h(t2) - h(t1)) / (t2 - t1)
First, we calculate h(2) and h(4.5):
h(2) = -16(2)2 + 87(2) = -64 + 174 = 110
h(4.5) = -16(4.5)2 + 87(4.5) = -324 + 391.5 = 67.5
Plugging these values into the formula:
Average Rate of Change = (67.5 - 110) / (4.5 - 2) = -42.5 / 2.5 = -17
The average rate of change of the height of the ball from 2 to 4.5 seconds is -17 feet/second.