Answer:
the statement will be true
The gates of an amusement park are closely monitored to determine whether the number of
people in the amusement park ever poses a safety hazard.
On a certain day, the rate at which people enter amusement park is modeled by the function
e(x) = 0.03x3 + 2, where the rate is measured in hundreds of people per hour since the gates
opened. The rate at which people leave the amusement park is modeled by the function
l(x) = 0.5x + 1, where the rate is measured in hundreds of people per hour since the gates
opened.
What does (e – l)(4) mean in this situation?
Answer:
Maybe how many people are in the park
For given situation, (e - l)(4) means, there are 92 people in the amusement park 4 hours after the gates open.
What is a function?"It is an expression that defines a relationship between one variable and another variable."
For given example,
the rate at which people enter amusement park is modeled by the function
[tex]e(x) = 0.03x^3 + 2[/tex]
where the rate is measured in hundreds of people per hour since the gates opened.
The rate at which people leave the amusement park is modeled by the function
[tex]l(x) = 0.5x + 1[/tex]
where the rate is measured in hundreds of people per hour since the gates opened.
First we find the subtraction of functions [tex](e-l)(x)[/tex].
[tex]\Rightarrow (e-l)(x)=e(x)-l(x)\\\\\Rightarrow (e-l)(x)=0.03x^3 + 2-(0.5x + 1)\\\\\Rightarrow (e-l)(x)=0.03x^3+2-0.5x-1\\\\\Rightarrow (e-l)(x)=0.03x^3-0.5x+1[/tex]
For x = 4,
[tex]\Rightarrow (e-l)(4)=0.03(4)^3-0.5(4)+1\\\\\Rightarrow \bold{(e-l)(4)=0.92}[/tex]
As, the rate is measured in hundreds of people per hour
So, (e - l)(4) means, there are 92 people in the amusement park 4 hours after the gates open.
Lean more about function here:
https://brainly.com/question/13461298
#SPJ2
In the diagram below of triangle CDE, F is the midpoint of CE and
G is the midpoint of DE.If m ECD = 51 – 7x, and m
ZEFG = -8x +53, what is the measure of ZECD?
Answer:
link po ito po o hgugifhi zsuff/tkloi77r5 to 57t/
Mrs. Dean harvested 1 pounds of green peppers,
2 pounds of yellow peppers, and 5pounds of red
peppers from her garden. Is 8 pounds, 9 pounds, or
10 pounds a more reasonable estimate for how many
pounds of peppers she harvested altogether?
PLEASE ANSWER
Answer: 8 Pounds because it doesn't have to be an estimate due to it being the actual number.
Step-by-step explanation: because it doesn't have to be an estimate due to it being the actual number.
Help me ASAP!!
Find the area of the whole blue triangle.
8.5 m
10 m
8 m
3 m
6 m
Which pair of segments must be parallel? A. AB and CD B. AB and GH C. CD and EF D. EF and GH
Answer:
G and H
Step-by-step explanation:
though with that being said i may be wrong (im not scamming like other users with random answers im being for real)
You pick a card at random. 4 5 6 What is P(4)? Simplify your answer and write it as a fraction or whole number.
Answer:
4/p
Step-by-step explanation:
4/p=4overp
The triangle P(1.-4), U(5,0) and N(2, 1) is reflected over the y-axis. What are the coordinates of the new points?
P
1-14
Answer:
Step-by-step explanation:
Reflection of x axis
1) the new points have the same x coordinates
2) the new point have the opposite y coordinates
P (1;4) ; U (5;0) ; N(2;-1)
From a barrel of colored marbles, you randomly select 1 blue 6 yellow 7 red 4 green and 6 purple marbles
Complete question :
From a barrel of colored marbles, you randomly select 1 blue 6 yellow 7 red 4 green and 6 purple marbles. Find the experimental probability of randomly selecting a marble that is NOT yellow.
Answer:
Step-by-step explanation:
Total number of marbles :
Blue = 1 ; yellow = 6 ; red = 7 ; green = 4 ; purple = 6
Total = (1 + 6 + 7 + 4 + 6) = 24 marbles
Probability of selecting marble that is not yellow :
Number of marbles that aren't yellow / total number of marbles
Marbles that aren't yellow = 24 - 6 = 18
P(selecting a marble that isn't yellow) = 18 / 24 = 3/4
Andy estimated that he would need 73 feet of lumber for a tree house project. He later found that the actual amount of lumber needed was 62 feet. What was the percent error of Andy's estimation?
Answer:
17.74%
Step-by-step explanation:
The formula for percent error is given as:
|Estimated value - Actual value|/Actual value × 100
From the above question:
Estimated value = 73 feet
Actual value = 62 feet
Hence,
Percent error = |73 - 62|/62 × 100
= 11/62 × 100
= 17.741935484%
Approximately , percent error = 17.74%
Therefore, the percent error of Andy's estimation is 17.74%
Please help!
Due soon...
Answer:
1: 233 m
2: 466 m
3: 241.87 m
4: 483.72
Step-by-step explanation:
The Pythagorean Theorem states that a^2 + b^2 = c^2, in which c is the hypotenuse (in this case, PQ and RS).
1: 105^2 + 208^2 = 54289, square root of 54289 = 233
2: Since the area of the triangle makes up half of the rectangle, multiply the area by 2 to get 466
3: 120^2 + 210^2 = 58500, square root of 58500 is 241.87
4: Multiply by 2 to get 483.72
Evaluate the expression for a = 10 and b = 12.
a+4(b−3)
Answer:
46
Step-by-step explanation:
a + 4(b - 3)
Substitute the values for a and b.
10 + 4(12 - 3)
Subtract inside the parenthesis.
10 + 4(9)
Multiply.
10 + 36
Add.
46
Andrew jogs 4.2 miles every day. How many miles does he jog in five days?
Answer:
21 miles
Step-by-step explanation:
he runs 4.2 miles x 5 days
Andrew jogs 4.2 miles every day. Andrew runs 21 miles in five days.
We have given that,
Andrew jogs 4.2 miles every day.
We have to determine how many miles he jog in five days.
What is the distance?
The extent or amount of space between two things, points, lines, etc. · the state or fact of being apart in space, as of one thing from another remoteness.
he runs
= 4.2 miles x 5 days
=21.0
Therefore Andrew runs 21 miles in five days.
To learn more about the distance visit:
https://brainly.com/question/2854969
#SPJ2
it is multiple choice and i know 100% that the answer is no, but i dont know the answer for the solution part
Answer:
NO
NO SOLUTION
Step-by-step explanation:
2t + 2e = 11 eqn 1
t + e = 6.5 eqn 2
this can be solved using simultaneous equation
Multiply eqn 2 by 2
2t + 2e = 13
subtract eqn 1 from2
0 + 0 = 2
there is no solution
What is the value of n in the equation below? a^n/ a^3 = a^9
a. 3
b. 6
c. 12
d. 27
Answer:
C, 12
Step-by-step explanation:
The number of marbles of different colors stored in a hat is listed below:
4 red marbles
10 green marbles
7 blue marbles
Without looking in the hat, Dan takes out a marble at random. He replaces the marble and then takes out another marble from the hat. What is the probability that Dan takes out a blue marble in both draws?
2/21
1/9
1/2
2/3
Answer:
The answer would be a 1/9 chance of him picking two blue marbles in a row.
Justin likes to get 7 hours of sleep. He woke up after sleeping for 5 1/3 hour. How many more hours does he need to get the amount of sleep he likes?
Answer:
He needs 1 hour 40 minutes more to get the amount of sleep he likes or 1 2/3 hours
Step-by-step explanation:
Justin likes to get 7 hours of sleep.
He woke up after sleeping for 5 1/3 hour = 5 hours 20 mins
Number of more hours needed to get the amount of sleep he likes= 7 hours - 5 1/3 hours.
1 hour = 60 minutes
1/3 hours = 60/3 = 20 minutes
Hours Minutes
7 00 when we borrow 1 hour we borrow 60 minutes
5 20
1 40
He needs 1 hour 40 minutes more to get the amount of sleep he likes
or 1 2/3 hours
solve the equation using square roots. round your solutions to the nearest hundredth. 5x^2+2=6
Which measurement can be used to describe the size of an angle
Answer:
Step-by-step explanation:
degrees
ect the correct answer.
Which of the following graphs represents the equation below?
Please answer this math question for me
Answer:
D=90° E=103° F=77°
Step-by-step explanation:
D+90°=180°
D=90°
F+103°=180°
F=77°
E + F=180°
E=103°
Can someone help me
Answer:
b. the slopes of both functions are positive
Step-by-step explanation:
hope this helps :)
Answer:
C. The slope of function A is positive and the slope of function B is negative.
Step-by-step explanation:
For this problem, you need to determine the slope of each function.
For function A:
You're given y = (1/4)x - 2/3, which is in slope-intercept form y = mx + b. The slope of an equation in slope intercept form is given by m.
So the slope for function A is 1/4.
For function B:
You're given a list of (x, y) points, so use the definition of the slope = [tex]\frac{y2-y1}{x2-x1}[/tex], which gives you the slope from any two (x, y) points on the line. Let's take the first and second points (2, -8) and (4, -9)
Slope = [tex]\frac{-9-(-8)}{4-2} = \frac{-1}{2}[/tex].
Therefore, the slope of function A is positive and the slope of function B is negative.
The Smith's 5 children need to be lined up for a family photo. In how many ways could this be done? 5 5 5! 5! 5C5 5 cap c sub 5 55
Answer:
120 ways
Step-by-step explanation:
To line 5 children up in a family photo, the number of possible arrangements is obtained by taking the factorial of the number of people on the line.
In this scenario, we have 5 ;
Recall;
n! = n(n-1)(n-2)(n - n-1)
5! = 5(5-1)(5-2)(5-3)(5-4)
5! = 5 * 4 * 3 * 2 * 1
5! = 120 ways
Help QUICK PLS
I need answers quick
will mark as brainliest.
Answer:
integer
Step-by-step explanation:
the slope looks like it's 4/1 when simplified it's 4. (integer)
Answer:
The slope is the integer 4
Step-by-step explanation:
take the points (-2, -9) (-1, -5) and put them in the formula y2 - y1 over x2 - x1 and you get m = 4
pppppllls help I need help
Answer: This is basic trig man, So I can help you here. First thing you need is a calculator that can do sin cos and tan, ti-84 would work best. You need to use the sin cos and tan formulas to find the edge lengths of the side. heres a helppful tip to remeber the proper way to use the formulas. SOH-CAH-TOA or sin(angle measure)= Opposite side to that angle measure divided by the hypotenuse cos(angle measure)= adjacent side (the side next to the angle) divided by the hypotenuse. and TOA or Tan(angle measure)=Opposite divided by adjacent.
Step-by-step explanation: This is a mix of Special right triangles and trig. You now know how to do the trig, look up special right triangles 60 30 90 and 90 45 45, it should show you how to do the rest of the math, since I don't recall the formulas for this off the top of my head. I am not just giving you the answers for two reasons, 1 it would take tooo long and I am already doing a quiz, which I have five minutes left to complete, and B If you cant do this for yourself you will fail the final for your course.
Anyone help me with this please!!
Find y to the nearest degree. *
Step-by-step explanation:
.....................
problem of volume that equals 9 work please
Step-by-step explanation:
l=1
b=3
h=3
l×b×h
9 is the vol
B is the midpoint of AC, if AB=2x+1 and BC= 3x-4, what is x? What is the measure of BC? What is the measure of AC?
Answer:
ayaw pag salig og brainly lods
HELP IM GOING TO HAVE A MENTAL BREAKDOWN
Find the values of x and y that make these triangles congruent by the HL Theorem.
Answer:
x = 3 ; y=2
Step-by-step explanation:
to simplify the work we can build a system of two equations
2x+3 = 3y+3
x = y+1
we can now substitute the value of x in the first equation
2(y+1)+3 = 3y+3
2y + 2 + 3 = 3y+3
2y + 5 = 3y+3
y = 2
now we can subisitute the value of y in the first equation
x = 2 + 1 = 3
Verify
2(3)+3 = 6+3 = 9
3(2) + 3 = 6 + 3 = 9
3
2+1 = 3
What is the solution to the inequality -3x - 5 < -20?
Answer: x>5
Step-by-step explanation: Hope this help :D