Answer:
36x3.14=113.04
Step-by-step explanation:
Answer:
Approximately 113.1
Step-by-step explanation:
C = π d = π · 36 ≈ 113.09734
A passenger car travels 16 mph faster than the commuter bus. If the bus travels 56 miles in the same time it takes the car to travel 84 miles, what is the speed of each vehicle?
Answer:
speed of commuter bus: 32 km
speed of passenger car : 48 mph
Step-by-step explanation:
We will use the concept of speed distance and time.
where time = distance / speed
____________________________________________________
Let the speed of commuter bus be x mph
Given that passenger car travels 16 mph faster than commuter bus.
Speed of passenger car if speed of commuter bus is x mph (x+16)mph
Distance traveled by commuter bus = 56 miles
Time taken by commuter bus to travel 56 miles = 56/X (1)
Distance traveled by passenger car = 84 miles
Time taken by passenger car to travel 84 miles = 84/(X+16) (2)
__________________________________________
It is given that time taken by both bus and car is same
so equating equation 1 and 2
we have
56/X = 84/(X+16) (by cross multiplication we have)
=> 56(X+16) = 84*X
=> 56X + 896 = 84X
=> 896 = 84X - 56 X
=> 896 = 28X
=> X = 896/28 = 32.
Therefore , speed of commuter bus is x mph or 32 km
speed of passenger car is x+16 mph = (32+16) mph = 48 mph
Final answer:
The passenger car travels at 48 mph, while the commuter bus travels at 32 mph, derived from the fact that they travel the same time but different distances.
Explanation:
To find the speeds of the passenger car and the commuter bus, we can use the formula for distance (distance = speed × time). Since both the bus and the car travel for the same amount of time, we can set up an equation to solve for their speeds based on the distances they travel.
Let x be the speed of the commuter bus in mph. Consequently, the speed of the passenger car would be x + 16 mph. According to the information given:
The bus travels 56 miles.
The car travels 84 miles.
Since they travel for the same time t, we have:
Bus: 56 miles = x × t
Car: 84 miles = (x + 16 mph) × t
Dividing the mileage of the car by the bus gives us:
[tex]\(\frac{84}{56} = \frac{(x + 16)t}{xt}\)[/tex]
[tex]\(1.5 = \frac{x + 16}{x}\)[/tex]
Multiplying by x to get rid of the fraction and then solving for x provides:
1.5x = x + 16
0.5x = 16
x = 32 mph
This means the bus travels at 32 mph and the passenger car travels at:
32 mph + 16 mph = 48 mph
Therefore, the speed of the passenger car is 48 mph and the speed of the commuter bus is 32 mph.
Candice wants to estimate the proportion of the freshmen at her high school that likes sports drinks. She interviews a simple random sample of 75 of the 215 freshmen on campus. She finds that 18 students like sports drinks. Is the Normal condition for finding confidence intervals met? Explain.
Yes, the Normal condition for finding confidence intervals is met because np = 18 and n(1 − p) = 57, both of which are greater than 10.
The following information should be considered:
Since there is the simple random sample of 75 of the 215 freshmen on campus. She finds that 18 students like sports drinks.So, it is the normal condition as np = 18 and n (1- p) = 57.Learn more: https://brainly.com/question/1504221?referrer=searchResults
The Normal condition for constructing confidence intervals is met if both np and n(1-p) are greater than 10. In Candice's case, both conditions are met, so she can proceed with constructing a confidence interval for the proportion of freshmen who like sports drinks.
In order to determine if the Normal condition for constructing confidence intervals is met, we need to check if both np and [tex]\( n(1-p)[/tex] are greater than 10. Here n is the sample size and p is the sample proportion.
For Candice's sample:
n = 75 (sample size)p (sample proportion) = [tex]\frac{18}{75} = 0.24[/tex]Now, calculate np and n(1-p):
[tex]\[ np = 75 \times 0.24 = 18 \][/tex][tex]\[ n(1-p) = 75 \times (1 - 0.24) = 75 \times 0.76 = 57 \][/tex]Both values (18 and 57) are greater than 10, so the Normal condition is met. Therefore, it is appropriate to proceed with constructing a confidence interval for the proportion of freshmen who like sports drinks.
The shapes of the horizontal cross-sections of the cylinder below are not all congruent True or false
Answer:
False
Step-by-step explanation:
Please have a look at the attached photo
As we know the shapes of the horizontal cross-sections of the cylinder are circles congruent with the circle at the base and at the top of the cylinder because they are parallel to each other.
Can someone please help me with this question ASAP?
Answer:
a = 2
b = -1
7(2y^2 + (-1)y - 3) =
14y^2 - 7y -21
Step-by-step explanation:
How much change will you get back from a quarter if you buy 2 ten-cent candies?
A. 1 dime
B. 1 nickel and 2 pennies
C. 2 dimes
D. 2 nickels
E, 1 nickel
Answer:
E. 1 nickel
Step-by-step explanation:
2 ten cent= 20 cent
a quarter is 25 cent
25-20=5
a nickel is 5 cent
Answer:
E.) nickle (5 cents)
Step-by-step explanation:
You give 25 cents (value of a quarter)
2 ten-cent candies is equal to 20 cents:
[tex]2*10=20\\10+10=20[/tex]
Find the difference between what you paid and the actual amount:
[tex]25-20=5[/tex]
You paid an extra 5 cents. Find the answer that has the same value as 5 cents:
A. ) 1 dime
This is wrong because a dime is worth 10 cents, not 5
B.) 1 nickel 2 pennies
this is wrong because a nickle is worth 5 cents and a penny is worthy 1 cent. Add the values, and the change would be 7 cents.
C.) 2 dimes
This is wrong because a dime is worth 10 cents, so 2 dimes would be 20 cents.
D.) 2 nickles
This is wrong because a nickle is worth 5 cents, so 2 nickles would be 10 cents.
E.) 1 nickle
This is correct because a nickle is worth 5 cents, the exact change you should receive.
:Done
Calculate the inverse of the matrix and find the values for a, b, c, and d [4,12,1,10] A^1=[a/14,b/7,c/28,d/7]
Answer:
a: 5
b: -3
c: -1
d: 1
Step-by-step explanation:
Given the matrix:
A = [4 12
1 10]
its determinant is: 4*10 - 1*12 = 28
the inverse of A is:
1/28*[10 -12
-1 4]
[10/28 -12/28
-1/28 4/28]
A^-1 = [5/14 -3/7
-1/28 1/7]
a: 5
b: -3
c: -1
d: 1
The calculation is as follows:Given the matrix:
A = [4 12
1 10]
its determinant is: 4(10) - 1(12) = 28
Now
the inverse of A is:
1 ÷ 28 × [10 -12
-1 4]
[10 ÷ 28 -12 ÷ 28
-1 ÷ 28 4 ÷ 28]
A^-1 = [5÷ 14 -3 ÷ 7
-1÷ 28 1 ÷ 7]
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Carol bought some items at a variety store. All the items were the same price, and she bought as many items as the price of each item in cents. (For example, if the items cost 10 cents, she would have bought 10 of them.) Her bill was $2.25. How many items did Carol buy?
Answer:
15
Step-by-step explanation:
b/c .15 tims 15 =2.25
p.s can u mark me brainliest if i got it right plz?
The number of items carol can buy is 225.
What is unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.
Given that Carol bought some items at a variety store. All the items were the same price, and she bought as many items as the price of each item in cents. The items cost 10 cents, she would have bought 10 of them.) Her bill was $2.25.
The number of the items will be calculated as below:-
1 dollar = 100 cents
2.25 dollars = 2.25 x 100 cents
2.25 dollars = 225 cents.
It is given that the number of items bought is equal to the number of cents.
Therefore, the number of items carol can buy is 225.
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Choose the graph of the function
Answer:
sorry I don't see the grap or the function
A rectangle has a height of 5 and a width of 4x^2-2x-6 . Express the area of the entire rectangle.
Answer:
20x² - 10x - 30
Step-by-step explanation:
Height = 5
Width = 4x² - 2x - 6
Area of rectangle = length × breadth
Area of triangle = height × width
Area = 5 × (4x² - 2x - 6)
Area = 20x² - 10x - 30
Area of the rectangle is 20x² - 10x - 30
PLease help
The line plots show the number of minutes two different age groups of teenagers spent online the previous week.
Answer:
Range: 13 and 15 Mean: 247 and 286
Step-by-step explanation:
The graph of g(x) = (x + 2)2 is a translation of the
graph of f(x)
by
units.
DONE
X
-2
2
4
2
h = 1
y = (2-1)
Answer:
The graph of g(x) = (x + 2)2 is a translation of the
graph of f(x) ✔ left by 2 units.
The graph of h(x) = (x − 3)2 is a translation of the
graph of f(x) ✔ right by 3 units.
100% Correct
Step-by-step explanation:
factor 8x^2+ 12x-16
Answer:
-4( -2x^2 -3x+4)
Step-by-step explanation:
8x^2+ 12x-16
Factor out a 4 from each term
4 (2x^2 +3x-4)
We can also factor out a negative 4
-4( -2x^2 -3x+4)
it is the first one -4(-2x^2-3x+4)
Find the indicated side of the right triangle
Answer:
x = 14
Step-by-step explanation:
[tex] \sin \: 30 \degree = \frac{7}{x} \\ \frac{1}{2 } = \frac{7}{x} \\ x = 7 \times 2\\ x=14[/tex]
HELP YOU WILL GET BRAINLIST
Answer:
it is the blue box (not teal)
64 x 7/4 is less than 64 because 7/4 > 1
Hope this helps :)
If 2 Apple watches out of every 250 are defective, how many defective ones would there be out of 2000 total watches
Step-by-step explanation:
Simple if there are 2 watches defective from 250 then 2000 ÷ 250 = 8
So total 10 watches are defective
Answer:
16 are defective
Step-by-step explanation:
2000/250=8
8*2=16
A box contains 12 slips of paper as shown. Each slip of paper is equally likely to be drawn.
Find P(red).
Answer:
6
Step-by-step explanation:
Answer:
6 red 2 yellow 3 blue so the answer is 6
Step-by-step explanation:
What is the mathematical shape made by each net
Answer:
a) cylinder
b) Tetrahedron
Step-by-step explanation:
Thank you
(a) Cylinder is the figure formed by the given net of two circles and rectangle.
(b) Tetrahedron is the figure formed by given net of triangles.
(a) The net made up of two circles and a rectangle represents a shape known as a cylinder.
The two circles form the top and bottom faces of the cylinder, and the rectangle wraps around the circles to form the curved surface.
(b) the triangles are connected with their bases adjacent to each other, forming a closed figure, the resulting shape is a tetrahedron (a specific type of pyramid with four triangular faces).
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The radius of a circle is 13 feet. What is the length of an arc that subtends an angle of
radians?
13 ft
Give the exact answer in simplest form.
feet
Answer:
The length of the arc is 221π/18 ft or 38.55 ft
Step-by-step explanation:
Given
Subtended angle, θ = 17π/18
Radius, r = 13 ft
Required
Length of the arc.
When an angle is given in radians, the length of the arc is calculated using the formula below
Length = rθ
By substituting
Length = 13 * 17π/18
Length = 221π/18
The answer can be left in this form.
But for simplification purpose, I'll solve further.
Taking π as 3.14
Length = 221 * 3.14/18
Length = 693.94/18
Length = 38.552222
Length = 38.55 ft (Approximated).
Hence, the length of the arc is 221π/18 ft or 38.55 ft
Find the equivalent expression 2^3
Answer:
8^1
Step-by-step explanation:
The magnitude and direction of two vectors are shown in the diagram. What is the magnitude of their
sum?
A) 5 squared
B) 8
C) 20
D) 6
The magnitude of their sum is 6 units
ResultantThe formula for calculating the resultant vector is given as:
[tex]V=\sqrt{(\sum V_x)^2+(\sum V_y)^2}[/tex]From the given figure, the resultant is calculated as:
[tex]V=\sqrt{[(4cos45)+(2sin45)]^2+((4sin45)+2cos45)^2} \\V=\sqrt{[2\sqrt{2}+\sqrt{2}]^2 +[2\sqrt{2}+\sqrt{2}}]^2\\V=\sqrt{18+18} \\V= 6 units[/tex]
Hence the magnitude of their sum is 6 units
Learn more on resultant force here: https://brainly.com/question/25239010
How did Alexander Grothendieck affect other mathematicians 100 points
Answer:
Grothendieck used his remarkable capacity for abstract thinking to make advances across the entire spectrum of mathematics. He developed unifying concepts that could be applied to a variety of avenues of mathematical thought, including number theory, category theory, functional analysis and topology
Step-by-step explanation:
if someone was born in 2018 September 12th how old will they be in 2082?
Answer: 64 years old
Step-by-step explanation:You subtract 2082 by 2018 to get the sum of 64
Answer:
64/63
Step-by-step explanation:
It depends on what day it is in 2082 however the calculation should be simple...
2082-2018=64
If it is before September 12th in 2082, then they would be 63 because their 64th birthday would be on September 12th!
Hope this helps!
???? ???? ???? Help me
Answer:
B) x = 1/4y²
Step-by-step explanation:
I graphed x = 1/4y² below and it matched the graph that you gave.
How would you describe "plate motion" to someone else? (In other words, how
do plates move?) *
Will mark as Brainliest plz help
The box plot suggests that about 25% of gyms in Shanesville have more than what number of gym members?
Answer:
Step-by-step explanation:
70
Answer:
it is 70 hahaha thanks
Step-by-step explanation:
please answer quickly!
Answer:
1) 3 and 4
2) B
Step-by-step explanation:
sorry if i am wrong
The rate of collection by a solar panel decreased steadily throughout the day due to increasing cloud cover until it reached a constant amount. Later in the day, there were two short periods where the Sun appeared, only for the cloud cover to return.
Which graph models the amount of energy collected depending on the time since the cloud cover began?
ANSWER: B
Answer:
Second graph
Step-by-step explanation:
In the second graph we can see how the rate of collection decreases steadily at 0 < x < 7.5; at x = 7.5 it becomes constant; and later in the day, there were two short periods (about x = 12.5 and x = 22.5) where the rate of collection has two peaks.
if the 897 step stairwell has 50 landings, how many steps would be between landings
Answer:
17.94
I think you would do 897 divided by 50. Tell me if im wrong.
To find the number of steps between each landing in an 897-step stairwell with 50 landings, divide the total steps by the number of segments, resulting in approximately 17 to 18 steps per segment.
Step by Step Solution:
To determine how many steps are between each landing in an 897-step stairwell with 50 landings, follow these steps:
First, note that there are 50 landings, which divide the stairwell into 51 segments (since the top step is considered the last segment).Then, divide the total number of steps by the number of segments: 897 steps / 51 segments = 17.588 steps per segment.Since you can't have a fraction of a step, you may need to adjust for some rounding. Usually, some segments may have 17 steps and others may have 18 steps to total correctly.Therefore, each segment will have approximately 17 or 18 steps.
The teacher concluded that there is a correlation between having a computer and having a phone. Do you agree with the teacher? Explain your thinking. (giving brainliest to fastest response)
Answer:
yes I agree with teacher
Step-by-step explanation:
I I think this because 1 people that have a phone and a computer are the highest group and two becauseit seems that most of the class has a phone it also seems that most of the class has a computer
what is the slope of the line that passed through (-2,-1) and (12,6)
Answer:
1/2
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
= (6 - -1)/(12 - -2)
= (6+1)/(12+2)
7/14
1/2
Step-by-step explanation:
Step 1: Find the slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{6-(-1)}{12-(-2)}[/tex]
[tex]m=\frac{6+1}{12+2}[/tex]
[tex]m=\frac{7}{14}[/tex]
[tex]m=\frac{1}{2}[/tex]
Answer: The slope is 1/2