Answer:
I think it’s p(t)=10t-400
Answer:
t(p) = 10p-400
Step-by-step explanation:
A rectangular plot of ground having dimensions 26 feet by 30 feet is surrounded by a walk of uniform width. If the area of the walk is 240 feet squared, what is its width?
Answer:
2 ft
Step-by-step explanation:
Given that Dimensions of rectangular plot are: 26 feet by 30 feet
Length is 26 ft
Width is 30 ft
Area of rectangle = Length [tex]\times[/tex] Width
So, area of given rectangular field is = 26 [tex]\times[/tex] 30 = 780 sq ft
Let the width of the walk = [tex]x[/tex] ft
Kindly refer to the attached image for the given scenario.
Dimensions of the plot with walk = (26+2[tex]x[/tex]) ft by (30+2[tex]x[/tex]) ft
So, area of plot without walk = 780 sq ft
Area of walk = Area with walk - Area of plot
Now, we are given that area of walk = 240 sq ft
So, we get:
240 = (26+2[tex]x[/tex]) [tex]\times[/tex] (30+2[tex]x[/tex]) - 840
[tex]\Rightarrow (26+2x)(30+2x)=780+240\\\Rightarrow 780+4x^2+112x=780+240\\\Rightarrow 4x^2+112x-240=0\\\Rightarrow x^2+28x-60=0\\\Rightarrow x^2+30x-2x-60=0\\\Rightarrow x(x+30)-2(x+30)=0\\\Rightarrow x = 2, -30\ ft[/tex]
[tex]x[/tex] can not be negative, so [tex]x = 2\ ft[/tex]
So, the width of the walk = 2 ft
what is the constant proprotionality in the equation y=5x
Answer:
5
Step-by-step explanation:
Well if y=5x then, the constant variation would have to be 5. Hope that helps.
WORTH LOT OF POINTS DONT PLAGERIZE NO FAKE ANSWERS WILLL REPORT::::: Mindy understands how to tell if ordered pairs are functions but does not remember how to determine if a graph is a function. What test could she use and how does it work? (also include definition of functions)
Answer:
The vertical line test
Step-by-step explanation:
Basically, draw vertical lines over the function.
If each value of x has a different y-value, then it is a function.
Grant pays $30 a month for his data package for his cellphone plus an additional 5 cents for each mega bite, m, used over his limit. Write an algebraic expression to represent Grant's data package expense per month
Answer:
30+0.05x where x is the amount of data over the limit in megabytes.
If 9 is subtracted from a certain number and the difference is divided by 3, the result is 1 more than
1/7 of the original number. Find the original number.
Answer:
Let the number be x.
(x-9)/3= (x/7)+1
(x-9)/3= (x+7)/7
Cross multiplying
7x-63= 3x+21
4x= 84
x= 42
Hope this will help :-)
*PLEASE ANSWER ASAP, ILL CHOOSE BRAINLIEST* Julie is playing a game where she must flip 3 coins. If Julie flips all 3 coins and gets heads all three times, she wins. If Julie does not get heads all three times, she loses. This information was used to create the following tree diagram.
Answer:
It is fair.
See the chart?
On all coins, there is a 50/50 chance it will be wrong or right.
There are 6 sides.
Half of them are H, and the other half T.
So, there are 3 heads and 3 tails.
3 to 3 is equal, so it is fair.
Hope this helped :)!
Answer:
No, the game is not fair because Julie does not have equal probabilities of winning or losing.
Step-by-step explanation:
Cooper works part time for a moving company. One day he had to move 34 boxes from a truck to inside a house. After moving some boxes, he took a break and told his boss that he has only 15 boxes to move. Which equation below can be solved to find how many boxes Cooper moved before his break. A. 15+34=x B. 15−x=34 C. 34−x=15 D. 34+x=15
Answer: D
Step-by-step explanation: hope this helped u.
2-55 Nite Time Inn has a toll-free telephone number so that customers can call at any time to make a reservation. A typical call takes about 4 minutes to complete, and the time required follows an exponential distribution. Find the probability that a call takes
The question is incomplete. Here is the complete question.
Nite Time Inn has a toll-free telephone number so that customers can call at any time to make a reservation. A typical call takes about 4 minutes to complete, and the time required follows an exponential distribution. find the probability that a call takes
a) 3 minutes or less
b) 4 minutes of less
c) 5 minutes of less
d) Longer than 5 minutes
e) Longer than 7 minutes
Answer: a) P(X<3) = 0.882
b) P(X<4) = 0.908
c) P(X<5) = 0.928
d) P(X>5) = 0.286
e) P(X>7) = 0.174
Step-by-step explanation: Exponential distribution is related with teh amount of time until some specific event happens.
If X is a continuous random variable, probability is calculated as:
[tex]P(X<x) = 1-me^{-mx}[/tex]
in which:
m is decay parameter, given by: [tex]m=\frac{1}{mean}[/tex]
For the Nite Time Inn calls:
[tex]m=\frac{1}{4}[/tex]
m = 0.25
(a) P(X<3)
[tex]P(X<3) = 1-0.25e^{-0.25.3}[/tex]
[tex]P(X<3) = 1-0.25e^{-0.75}[/tex]
[tex]P(X<3) = 1-0.25*0.472[/tex]
P(X < 3) = 0.882
The probability the call takes less than 3 minutes is 0.882.
(b) P(X<4)
[tex]P(X<4) = 1-0.25e^{-0.25.4}[/tex]
[tex]P(X<4) = 1-0.25e^{-1}[/tex]
P(X < 4) = 0.908
The probability the call takes less tahn 4 minutes is 0.908.
(c) P(X<5)
[tex]P(X<5) = 1-0.25e^{-0.25.5}[/tex]
[tex]P(X<5) = 1-0.25e^{-1.25}[/tex]
P(X < 5) = 0.928
The probability of calls taking less than 5 minutes is 0.928.
(d) P(X>5)
Knowing that the sum of probabilities of less than and more than has to equal 1:
P(X<x) + P(X>x) = 1
P(X>x) = 1 - P(PX<x)
[tex]P(X>x) = 1-(1-me^{-m*x})[/tex]
[tex]P(X>x)=me^{-mx}[/tex]
For P(X>5):
[tex]P(X>5) = 0.25e^{-1.25}[/tex]
P(X > 5) = 0.286
The probability of calls taking more than 5 minutes is 0.286.
(e) P(X>7)
[tex]P(X>7)=0.25e^{-0.25.7}[/tex]
[tex]P(X>7)=0.25e^{-1.75}[/tex]
P(X > 7) = 0.174
The probability of calls taking more than 7 minutes is 0.174.
find the other endpoint of the segment with the given midpoint M and endpoint J. J(7,2) and M(1,-2)
The midpoint formula is as follows
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Plug in the information we know.
[tex](1,-2)=(\frac{7+x_2}{2},\frac{2+y_2}{2})[/tex]
Solve for [tex]x[/tex]
[tex]1=\frac{7+x_2}{2}[/tex]
[tex]2=7+x_2[/tex]
[tex]x_2=-5[/tex]
Solve for [tex]y[/tex]
[tex]-2=\frac{2+y_2}{2}[/tex]
[tex]-4=2+y_2[/tex]
[tex]y_2=-6[/tex]
The other endpoint of the segment is [tex](-5,-6)[/tex]
Hope this helps.
頑張って!
If c(x)= 4x - 2 and d(x)= x^2 + 5x what is ( c • d ) ( x )?
Answer:
cdf
Step-by-step explanation:
Here is a central angle that measures 1.5 radians. Select all true statements. Question 1 options: A) The area of the whole circle is 1.5 times the area of the slice. B) The radius is 1.5 times longer than the length of the arc defined by the angle. C) The ratio of radius to arc length is 1.5. D) The length of the arc defined by the angle is 1.5 times longer than the radius. E) The ratio of arc length to radius is 1.5. F) The circumference of the whole circle is 1.5 times the length of the arc formed by the angle.
Answer:
D, E
Step-by-step explanation:
The applicable formula is ...
s = rθ
so, for θ = 1.5, the arc length is 1.5 times the radius. The true statements are ...
D) The length of the arc defined by the angle is 1.5 times longer than the radius.
E) The ratio of arc length to radius is 1.5.
e^x - e^-x/2
Evaluate the equation above for x = 1.5
a. 2.35
b. 2.13
c. 4.37
Answer: 2.13
Step-by-step explanation:
Plug x (1.5) into the equation.
e^(1.5) - e^(-1.5)
Then, divide by 2.
Your answer will be 2.129 and then round to 2.13.
Answer:
2.13
Step-by-step explanation:
find the distance between each pair and points (-4,6) (3,-7)
Answer:
[tex]d =\sqrt{218}[/tex]
Step-by-step explanation:
[tex]d =\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\(-4,6)=(x_1,y_1)\\ (3,-7)=(x_2,x_1)\\\\d = \sqrt{\left(3-\left(-4\right)\right)^2+\left(-7-6\right)^2}\\\\d = \sqrt{(3+4)^2+(-7-6)^2} \\\\d = \sqrt{(7)^2 +(-13)^2}\\ \\d = \sqrt{49+169} \\\\d = \sqrt{218} \\\\Decimal = 14.7648\\=14.8[/tex]
I have to find the slope and the y-intersect from these graphs. It would mean alot if someone could help with at least one of them, or teach me how to solve these.
Answer:
Alright bear with me, this is gonna be a long one.
The Y INTERCEPT
So the y-intercept is going to be where the line intersects the Y-AXIS. The y-axis is the vertical part of the graph with the numbers on it.
So, for the first one, the line goes through the origin which means that that the y intercept is going to be (0,0)
The next one, the line intersects the y-axis at (0,1)
Here's a tip: the y-intercept will always have 0 as it's x coordinate.
The Slope
Alright, the slope of a vertical line can be found using an equation. Most typically people will describe the slope as RISE/RUN meaning how many units you move up "rise" and how many units you move horizontally "run" to touch the line. Of course, it's easier when you can identify points.
So to make this a little bit easier to understand, I will show you how to use the equation to find the slope.
[tex]\frac{y2-y1}{x2-x1}[/tex]
So for this equation, what you need is two coordinates. So for the first graph, I'm going to use the points (0,0) and (1,3)
[tex]\frac{3-0}{1-0}[/tex]
So we make the three y2 because it's the second y coordinate and the y1 would be 0. Same applies to the x coordinates but use the x values.
the slope for the first graph would be 3/1
FOR THE SECOND GRAPH
[tex]\frac{y2-y1}{x2-x1}[/tex]
Here's our equation now pick two points. I'll be using (-5,4) and (0,1)
[tex]\frac{1-4}{0-(-5)}[/tex]
Don't forget that a negative-a negative = positive
which will leave you with
[tex]\frac{-3}{5}[/tex]
since it can't be simplified any further, your slope is -3/5.
I hope I was able to help you understand this a bit better :)
Subtract (3 + 2i) from (–9 – 8i).
–17 – 5i
–6 – 6i
–12 – 10i
12 + 10
Answer:
-12 - 10i
Step-by-step explanation:
We are subtracting 3 + 2i from -9 - 8i. Rewrite the left side as -3 - 2i and then ADD this result to -9 - 8i:
-9 - 8i
-3 -2i
-----------
-12 - 10i
Answer:
-9-8i)-(3+2i)
= -9-8i-3-2i
Separate i and the numbers
= (-9-3)+(-8i-2i)
= -12-10i
Step-by-step explanation:
PLEASE HELPPP ON THIS ONE TOO
Point I is on line segment HJ. Given I J equals 3X +3, HI equals 3X-1, and HJ equals 3X +8, determine the numerical length of HJ.
Answer:14
Step-by-step explanation:
3x + 3 + 3x - 1 = 3x + 8
6x + 2 = 3x + 8
3x + 2 = 8
3x = 6
x = 2
HJ= 3(2) + 8 =6 + 8 = 14
HI= 3(2) - 1 = 6 - 1 = 5
IJ = 3(2) + 3 = 6 + 3 = 9
The numerical value of the length HJ such that will be I J equals 3X +3, HI equals 3X-1, and HJ equals 3X +8 will be 14.
What is a line segment?A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
Given that the line HJ has a length of 3x+8
HJ = 3x+8
The line segment HI has a length of 3x -1
HI = 3x -1
The line segment IJ is 3x + 3
IJ = 3x + 3
Since line HJ = HI + IJ
3x -1 + 3x + 3 = 3x+8
x= 2
The length of HJ will be
HJ = 3(2) + 8
HJ = 14 hence, 14 will be the correct answer.
For more about line segment
https://brainly.com/question/25727583
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Irene's grandfather arrived in Sydney from Athens at 10 pm on Friday after a 25-hour trip. The flight began at 12 noon on Thursday, Athens time. What is the time difference between Athens and Sydney?
The question is incomplete:
Irene's grandfather arrived in Sydney from Athens at 10 pm on Friday after a 25-hour trip. The flight began at 12 noon on Thursday, Athens time. What is the time difference between Athens and Sydney?
A. Athens time is 9 hours behind Sydney time.
B. Athens time is 9 hours ahead of Sydney time.
C. Athens time is 15 hours behind Sydney time.
D. Athens time is 15 hours ahead of Sydney time.
Answer:
A. Athens time is 9 hours behind Sydney time.
Step-by-step explanation:
The statement indicates that the flight began at 12 noon on Thursday, Athens time and that it lasted 25 hours. So, you can calculate the Athens time when he arrived after 25 hours which would be 1 pm on Friday. Also, the statement says that Irene's grandfather arrived in Sydney at 10 pm on Friday and now we know that at that moment it was 1 pm on Friday, Athens time. From these, you can calculate the difference between 1 pm and 10 pm that would be 9 hours. Because of this, the answer is that the time difference between Athens and Sydney is that Athens time is 9 hours behind Sydney time.
24 x 0.17 lol help pls
The value of the 8th term is 78.
The sequence is increasing by 10 at each step.
Explicit equation: y=10x-2
Recursive: now= previous term +10
Find the 9th term.
Explanation:
Answer:
108
Step-by-step explanation:
number sets of the square root of 15
Answer:
the square root is 15=5
Can someone answer this ?
Answer:
A) 46
Step-by-step explanation:
230+9x=14x
230=5x
230/5=x
x=46
CHECK:
230+9(46)=644
14*46=644
Simplify the expression.
-44.288-31.6
-3.16-1.2)
0 -5.1
0 -4.21
O 3.42
0 5.1
Answer:
D: 5.1
Step-by-step explanation:
6c + 7c +7c + 8c + 9c nesesito de su ayuda plis
Answer:
37c
Step-by-step explanation:
6c+(7c+7c)+8c+9c
6c+14c+(8c+9c)
6c+(14c+17c)
6c+31c
37c
Solve the equation: 6n+5<11
Steps to solve:
6n + 5 < 11
~Subtract 5 to both sides
6n < 6
~Divide 6 to both sides
n < 1
Best of Luck!
Answer:
n > -1
Step-by-step explanation:
1.1 Pull out like factors :
-6n - 6 = -6 • (n + 1)
2.1 Divide both sides by -6
Remember to flip the inequality sign:
2.2 Subtract 1 from both sides
n > -1
2.3 Inequality plot for
-6.000 X - 6.000 > 0
The ages of an audience at a concert were recorded as follows:
12, 14, 13, 11, 10, 16, 17, 13, 12, 10, 10, 14, 15, 15, 12, 15, 17, 15
(a) Create a frequency table with the above information.
Express the following in scientific notation:
10,030,400,000
Answer:
1.00304 * 10^10
Step-by-step explanation:
The first one dark blue I think
Please help me solve the problem
Answer:
Probability of getting a green marble=5/15=3/5
Probability of getting a black marble=5/15=3/5
A post is put every 6 feet along a fence around a rectangular field that is 42 feet long and 36 feet wide. What is the total number of feet around the field? *
Answer:
26 posts
Step-by-step explanation:
find perimeter:
42+42+36+36= 156
divide by 6
156/6=26
(-1.5)(0.8) need the answers asap
Answer:
what do u look like
Step-by-step explanation: