Answer:
quite not sure
Step-by-step explanation:
Johnny was able to drive an average of 27 miles per hour faster in his car after the traffic
cleared. He drove 25 miles in traffic before it cleared and then drove another 104 miles. If the
total trip took 3 hours, then what was his average speed in traffic?
Answer: 40 mph
Step-by-step explanation: let s = speed in traffic
(s+17) = out of traffic
:
Write a time equation; time = dist/speed
traffic time + normal speed time = 4 hrs
46%2Fs + 80%2F%28%28s%2B17%29%29 = 4
multiply by s(s+17) to cancel the denominators
46(s+17) + 80s = 4s(s+17)
46s + 782 + 80s = 4s^2 + 68s
126s + 782 = 4s^2 + 68s
Arrange as a quadratic equation on the right
2s^2 - 29s - 391 = 0
Use the quadratic formula a=2; b=-29; c=-391
I got a positive solution of
s = 23 mph in traffic
:
:
:
Check this by finding the actual times. Normal speed: 23 + 17 = 40 mph
46/23 = 2 hrs in traffic
80/40 = 2 hrs at normal speed
----------------------------
total time 4 hrs
0 = 4s^2 + 68s - 126s - 782
4s^2 - 58s - 782 = 0
simplify, divide by 2
so the answer is 40mph
the sum of a rational number and a irrational number
Answer: The sum of rational and irrational number is always irrational...
Answer:
When both rational and irrational numbers are written in decimal form, rational numbers can be written as finite decimals and infinite recurring decimals, such as 4=4.0, 4/5=0.8, 1/3=0.33333... and irrational numbers can only be written as infinite non-recurring decimals, such as √ 2=1.414213562…………According to this point, people define irrational numbers as infinite non-recurring decimals. 2. All rational numbers can be written as the ratio of two integers; irrational numbers cannot.
(Rational number): A number that can be accurately expressed as the ratio of two integers. Such as 3, -98.11, 5.72727272..., 7/22 are all rational numbers. Integers and fractions are all rational numbers. Rational numbers can also be divided into positive rational numbers, 0 and negative rational numbers. Irrational numbers refer to infinite and non-recurring decimals such as: π ·The difference between irrational and rational numbers: 1. When both rational and irrational numbers are written in decimal form, rational numbers can be written as finite decimals and infinite cyclic decimals. For example, 4=4.0, 4/5=0.8, 1/3=0.33333... and irrational numbers can only be written as infinite and non-cyclic decimals. For example, √2=1.414213562…………According to this point, people define irrational numbers as infinite and non-cyclic decimals. 2, all rational numbers can be written as the ratio of two integers; irrational numbers cannot. Based on this, some people suggested that irrational numbers should be removed from the "irrational" hat, and rational numbers should be called "comparative numbers" and irrational numbers should be called "irrational numbers". Originally, irrational numbers are not unreasonable, but people don't know much about it at first. Using the main difference between rational and irrational numbers, we can prove that √2 is irrational. Proof: Assume that √2 is not an irrational number, but a rational number.Since √2 is a rational number, it must be written as the ratio of two integers: √2 = p / q Since p and q do not have a common factor to be reduced, p / q can be considered to be the reduced fraction, the simplest form of fraction. Put √2 = p / q squared on both sides Get 2 = (p ^ 2)/(q ^ 2) Is 2 (q ^ 2) = p ^ 2 Since 2q ^ 2 is an even number, p must be an even number, so set p = 2m From 2 (q ^ 2) = 4 (m ^ 2) Get q ^ 2 = 2m ^ 2 Similarly, q must be an even number, let q = 2n Since p and q are both even numbers, they must have a common factor of 2, which contradicts the previous assumption that p/q is a reduced fraction. This contradiction is caused by the assumption that √2 is a rational number. Therefore √2 is an irrational number.
.
Why are the triangles below congruent?
Answer:
SAS
Step-by-step explanation:
As shown, you are given two measures of sides and since the intersecting lines(triangles) create vertical angles, then they are congruent.
Answer:
SAS
Step-by-step explanation:
there are two congruent sides given on the triangles and that shows us that the vertex of both triangle where they meet is congruent... so its side-angle-side
what’s 2x+y=4 in slope intercept form
Translate the sentence into an inequality
A number X increased by 5 is less than -17
Shawn buys a new bike for $75.50 and a new helmet for $12.50. If the sales tax rate is 11%, what will be the amount of sales tax on Shawn’s purchase?
Answer:
$9.68
Step-by-step explanation:
The total cost before tax is $75.50 + $12.50 = $88
11% of $88 = 0.11 * $88 = $9.68
Answer: $9.68
Answer:
Step-by-step explanation:
$75.50 (bike) + $12.50 (helmet) = $88 (this is the amount shawn will pay before tax
next $88 (total before tax) multiplied by 0.11 (11% tax) to get $9.68 tax. that should be the answer
edit: answer was wrong before, im really sorry if you already submitted the answer and i got it wrong for you.
8-x+ 5x - 2-9x =
Please help
Answer:
-5x+6
Step-by-step explanation:
Combine like terms:
-x + 5x - 9x = -5x
8 - 2 = 6
Answer: - 5x+6 plz name me brainliest. I got it right on my test
Step-by-step explanation:
-x + 5x - 9x = -5x
8 - 2 = 6
I was 6 my sister was half my age. I am 30 how old is she
Answer:
I think its 27.
Step-by-step explanation:
If they were 6 and her sister was half her age her sister would be 3. That means her sister is 3 years younger than they are. So if they are 30 all you do is 30 - 3 and you get your answer 27.
Hope this helps!
I need help with my homework I did it but it is wrong.
Answer:
π= 3V/(4r³)Step-by-step explanation:
Solve for π
V = 4/3πr³3/4V = πr³3V/(4r³) = ππ= 3V/(4r³)Answer:
π = 3V 4r³Step-by-step explanation:
V = 4 π r³
3
solve for π
3*V = 4π r³
3V = π
4r³
therefore.
π = 3V
4r³
Mr. Frankel bought 5 tickets to a puppet show and spent $26. He bought a combination of child tickets for $2 and adult tickets for $10 each. Write a system of equations to determine the number of adult tickets, a, and the number of child tickets, c, he bought. Solve the system. *Show both the equations and solutions
Answer:
3 child tickets and 2 adult tickets
Step-by-step explanation:
5t = 26
2c + 10a = 26
c = 3 a = 2
(2 * 3) + (10 * 2) = 26
6 + 20 = 26
The equations are c + a = 5 and 2c + 10a = 26. Then the number of children and adults will be 2 and 3, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Mr. Frankel bought 5 tickets to a puppet show and spent $26. He bought a combination of child tickets for $2 and adult tickets for $10 each.
Let 'c' be the number of children and 'a' be the number of adults. Then we have
a + c = 5 ...1
2c + 10a = 26 ...2
From equations 1 and 2, then we have
2(5 - a) + 10a = 26
10 - 2a + 10a = 26
8a = 16
a = 2
Then the value of the variable 'c' is calculated as,
2 + c = 5
c = 3
The equations are c + a = 5 and 2c + 10a = 26. Then the number of children and adults will be 2 and 3, respectively.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
what is the answer? pls help
Answer:
for the line to have a constant slope, the difference of every y- ordinate with the last ordinate has to be equal
to check this, we will use the following formula
y4 - y3 = y2 - y1
if both the LHS and the RHS are equal, the slope is constant and is irregular otherwise
5 - 8 = 7 - 3
-3 = 4
LHS ≠ RHS
Since LHS is not equal to RHS, the slope is NOT constant and hence keeps increasing or decreasing irregularly
Therefore, option 4 (Not a line) is correct
Answer:
it is not a constant line
Step-by-step explanation:
each x value increases by 1, but the y values are all over the place and are in no order.
The first aircraft has 48 more seats than the second aircraft. The third aircraft has 58 fewer seats than the second aircraft. If their total number of seats is 401, find the number
of seats for each aircraft
The first aircraft has seats. (Simplify your answer)
Answer:
1st aircraft has 353 seats
2nd aircraft has 343 seats
Step-by-step explanation:
401 minus 48 equals 353 (1st aircraft)
401 minus 58 equals 343 (2nd aircraft)
Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows: 79.3, 75.1, 78.2, 74.1, 73.9, 75.0, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.9, 72.9, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8. (a) Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why. (b) Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%. (c) Calculate point estimates of the population variance and the population standard deviation. (d) Calculate the standard error of the point estimate found in part (a). Interpret the standard error. (e) Calculate a point estimate of the proportion of all connectors in the population whose pull-off force is less than 73 pounds
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
79.3, 75.1, 78.2, 74.1, 73.9, 75.0, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.9, 72.9, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8
a) Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why.
The mean can be used as a point estimate for the pull of force.
Using a calculator :
The mean(m) :
Σx /n = 1966/26
= 75.62 pounds
(b) Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%.
To obtain this, we calculate the median:
Median = 0.5(n + 1)th term
Median = 0.5(27)th term = 13.5
Take the 13th and 14th term:
(75.1 + 75.3) / 2 = 75.2 pounds
(c) Calculate point estimates of the population variance and the population standard deviation.
Using calculator ; the variance (s²) = 2.73815
The standard deviation (s) = √variance
s = √2.73815 = 1.655
(d) Calculate the standard error of the point estimate found in part (a). Interpret the standard error.
Standard Error = standard deviation / √n
Standard Error = 1.655 / √26
= 0.3245
(e) Calculate a point estimate of the proportion of all connectors in the population whose pull-off force is less than 73 pounds
Number of Proportions less than 73 pounds / number of samples
= 1 / 26
= 0.0385
Paul bought 2.25 meters of wood to make 5 shelves of equal length . What is the length of each shelf ? show your work on a picece of paper
Answer:
Length of each shelf is 0.45 meters
Step-by-step explanation:
Given
[tex]Total\ Length = 2.25\ meters[/tex]
[tex]Shelves = 5[/tex]
Required
Determine the length of each shelf
This is calculated by dividing the total length by number of shelves as thus:
[tex]Length = Total\ Length/Number\ of\ Shelf[/tex]
[tex]Length = 2.25m /5[/tex]
[tex]Length = 0.45m[/tex]
Hence;
Length of each shelf is 0.45 meters
Answer:
0.45
Step-by-step explanation:
Which expression is equivalent to 4(3+5) - 3.92?
Answer:
28.08
Step-by-step explanation:
4(3+5)−3.92
Add 3 and 5 to get 8
4×8−3.92≈28.08
Multiply 4 and 8 to get 32
32−3.92≈28.08
Subtract 3.92 from 32 to get 28.08
28.08
in a triangle abc the lengths look the three sides are 7 cm 12 cs and 13 cs
Answer:
So what's the question ur trying to ask?
Least to greatest djjzhxjxhxjxjx
Answer:
thats easy j
Step-by-step explanation:
Order set of numbers from least to greatest
3/4, 0.72%, 69%, .63
Answer:
Step-by-step explanation:
0.72%, .63= 63%, 69%, 3/4
One week, Makayla earned $142.20 at her job when she worked for 6 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $829.50?
Answer:
I belive the number you are searching for is 35.
Step-by-step explanation:
Simply divide 142.20 by 6 to get the hourly wage(23.70). Divide 829.50 by the hourly wage to get the answer. (35)
Please someone answer this for me
Choose a line that is contained in plane s look at the picture for an example it’s an easy 50 pts cmon
the answer is line h
Answer:
h <3
Step-by-step explanation:
PLEASE HELP ME!! WILL MARK BRIANLIEST!
Answer:
462
Step-by-step explanation:
15 x 11 + 33 x 9 = 462
100% sure gimme brainliest please thanks
Answer:
Its 462
Step-by-step explanation:
help please, i need it due in 5 min
х
0
1
у
—125
-121
-93
-17
131
2
3
4
Answer:
12
Step-by-step explanation:
Simplify 6 to the negative 3rd power over 6 to the 5th
Answer:
6
Step-by-step explanation:
6 to the -3 power then to 6 to the 5th.
Getting 5.95374181e-7, simplfied made into a 6. Or a 5.9, most likely 6.
Can anyone answer these questions?
Answer:
1. y² = 169
taking a square root of both sides
y = √169
we know that 13 * 13 = 169
since when squaring a number, the signs on the numbers do not matter
(i.e - 2* 2 = 4 and (-2)*(-2) = 4)
So (-13) * (-13) = 169 as well
Hence we can say that √169 = ±13 OR √169 = +13 and -13
2. Volume of a cube-shaped crate = side*side*side
Volume = side³
(We are given that volume = 27)
27 = side³
side = ∛27
Since 3*3*3 = 27 and (-3)*(-3)*(-3) = 27
So, we can say that ∛27 = ± 3
BUT
the side of a crate cannot be negative, so the side will NOT be -3 and hence,
side = 3
3. b³ = 1000
we know that 10*10*10 = 1000 and (-10)*(-10)*(-10) = 1000
So, ∛1000 = ∛(10*10*10)= ±10
4. Area of a square(Patio) = Side²
Area = Side²
196 = Side² (Since we are given the area of the patio)
Side = √196 = √(14*14) or √(-14*-14)
Hence,
Side = + 14 or -14
but the side of a patio cannot be negative
Side = +14 ft
Bernard used the expression 18x + 27 to calculate his earnings. Select all of the expressions that are equivalent to Bernard's expression.
A.9(2x + 3)
B.9(18x +27)
C.9(2x + 27)
D.3(6x + 27)
E.3(6x+9)
Answer:
A. and E.
Step-by-step explanation:
9(2x + 3)
9 times 2x = 18x 9 times 3 = 27
18x + 27
3(6x+9)
3 times 6x = 18x 3 times 9 = 27
18x + 27
Hope this helps dude ! ^-^
Which table does NOT represent a function please hurry it’s urgent Thank you
A) a
B) b
C) c
D) d
A doctor sees between 7 and 12 patients each day.
On Mondays and Tuesdays, the appointment times are 15 minutes.
On Wednesdays and Thursdays, they are 30 minutes.
On Fridays, they are one hour long.
The doctor works for no more than 8 hours a day.
Here are some inequalities that represent this situation.
Answer:
The complete question seems to be:
A doctor sees between 7 and 12 patients each day.
On Mondays and Tuesdays, the appointment times are 15 minutes.
On Wednesdays and Thursdays, they are 30 minutes.
On Fridays, they are one hour long.
The doctor works for no more than 8 hours a day.
Here are some inequalities that represent this situation.
0.25 ≤ y ≤ 1
7 ≤ x ≤ 12
xy ≤ 8
What represents each variable?
7 ≤ x ≤ 12
We know that the doctor sees between 7 and 12 patients each day, and the smallest value of x is 7, and the largest is 12, then x must represent the number of patients that the doctors see in a given day.
0.25 ≤ y ≤ 1
now,
On Mondays and Tuesdays, each appointment is 15 minutes long.
An hour has 60 minutes.
Then 15 minutes = 15/60 hours = 0.25 hours.
On Wednesdays and Thursdays, they are 30 minutes.
30 minutes = 30/60 hours = 0.5 hours.
Then the possible value of the time for each appointment are {0.25, 0.5, 1}
Then the variable y must represent the time that each appointment takes.
xy ≤ 8
We know that:
x = number of patients in a given day.
y = time that the appointment takes in a given day.
x*y = total number of hours that he works in that given day.
and we know that he works, at maximum, 8 hours.
then the inequality xy ≤ 8 has sense.
2. The length of time � necessary to complete a key operation in the construction of houses has an exponential distribution with mean 10 hours a. How long do you expect the key operation to take? b. What is the probability the key operation will take less than 24 hours? c. What is the probability the key operation will take at least 5 hours? d. What is the probability the key operation will take at least an additional 5 hours given the construction works have already worked for 10 hours? e. What do you notice about your answers to part c and part d? What is this property called?
Answer:
This question has been solved in the attachment I added to the answer. Please try to follow the calculations. If you have any questions you can drop it on the comment section.
a. How long do you expect the key operation to take?
The operation would take 10 minutes
b. What is the probability the key operation will take less than 24 hours
= 0.909285 or 0.909
c. What is the probability the key operation will take at least 5 hours?
= 0.606
d. What is the probability the key operation will take at least an additional 5 hours given the construction works have already worked for 10 hours?
0.6065
e. What do you notice about your answers to part c and part d?
Part c an d have the same values.