Answer: This sample may be biased because he is only asking the bike riders when in reality there might be a majority of students who instead take an alternate form of transportation
Step-by-step explanation:
Someone please help me ASAP please anyone I need help now
Select the graph that correctly represents ƒ(x) = –2(x + 4)2 – 1.Find the equation of the parabola with its focus at (3,4) and its directrix y = 0.
Answer:
Equation of parabola: 8*(y - 2) = (x - 3)^2
or
y = (1/8)*(x - 3)^2 + 2
Step-by-step explanation:
focus at (3,4) and its directrix y = 0.
Focus equation: (h, k + c) = (3, 4)
Directrix equation y = k - c = 0
so h = 3, k + c = 4, k - c = 0
Solve the system : k + c = 4 and k - c = 0
add the equations together: k + c + k - c = 4 + 0
2k = 4
k = 2
so k + c = 4, 2 + c = 4, c = 2
4c (y - k) = (x - h)^2
4*2 *(y - 2) = (x - 3)^2
8*(y - 2) = (x - 3)^2
will give brainliest please
What political changes occurred in the years shortly before World War I?
What is the volume of the rectangular prism?
HURRY PLEASE I WILL MARK BRAINLIEST PLEASEEEEE
The diameter of a monster truck tire is 6 feet. If the truck tire makes 12 revolutions, how far did the truck travel?
Answer:
About 207 inches
Step-by-step explanation:
The circumference of a circle is given by the formula ...
C = πd . . . . . where d represents the diameter
The circumference of the tire is the distance the truck will move when the tire makes one revolution. That distance is ...
C ≈ 3.1416×(66 in) ≈ 207.35
The truck will travel about 207 inches for each revolution of the tire.
A bag contains 6 red marbles, 4 black marbles, and blue 5 blue marbles. A marble is picked without looking into the bag. Determin the probobility of picking out a blue marble
Answer:
5/15
(1/3 if u want it simplified)
(about 33.3 % if you want percentage)
Step-by-step explanation:
6 + 4 + 5 = 15 total marbles
There are 5 blue marbles.
Please help me fill out the numbers in the box and help me answer the question
9514 1404 393
Answer:
(1, 55), (4, 220), (5, 275)
times 55
Step-by-step explanation:
You know from life experience that the cost of tickets is often proportional to the number of tickets*. Here, you can check that by dividing the cost by the number of tickets for each of the table entries where both are given:
110/2 = 55 = 165/3
This tells you the cost of 1 ticket is 55. It also tells you the cost of 4 tickets will be 4×55 = 220, and the cost of 5 tickets will be 5×55 = 275.
In short, the cost in dollars is the number of tickets times 55.
_____
* Your life experience will also tell you that sometimes there is a "processing fee" that makes the relation non-proportional. No such fee is evident here.
__
Alternate solution
Since the relation is proportional, you can find the cost of 1 ticket by dividing the cost of 2 tickets by 2: 110/2 = 55. You can find the cost of 4 tickets by doubling the cost of 2 tickets: 2×110 = 220. You can also find the cost of 5 tickets by adding the costs of 2 and 3 tickets: 110 +165 = 275.
I dont understand how do this question.
There is a picture.
9514 1404 393
Answer:
b⁶
Step-by-step explanation:
The question tells you how to work it: use the relations you studied.
Here, you have the power of an expression with an exponent. The exponents multiply.
[tex]\text{Rule: }(a^b)^c=a^{bc}\\\\\text{Appication: }(b^3)^2=b^{3\cdot2}=\boxed{b^6}[/tex]
_____
Additional comment
A coefficient is used to indicate repeated addition: 3x = x + x + x.
An exponent is used to indicate repeated multiplication: x³ = x·x·x.
This is still true when the exponent is applied to an expression with an exponent:
(b³)² = (b³)(b³) . . . . the factor b³ is repeated 2 times as indicated by the exponent 2
Of course, each of these indicates repeated multiplication, so we really have ...
(b³)(b³) = (b·b·b)·(b·b·b) = b·b·b·b·b·b
And this can be simplified using an exponent to show the repeated multiplication:
= b⁶
Then, by going the long way around, we arrive at ...
(b³)² = b⁶
Asha has 3 times as many books as Luna. How many books does Asha have if Luna has "x" books.
Answer:
Asha has 3x books
Step-by-step explanation:
Since we dont not know how many books Luna has we know it is "X" so luna will have 3 times as much as X so 3x which also represents 3 times x
Solve the inequality.
x + 23 < 37
Group of answer choices
x < 60
x < 14
x < 37
x < 23
Answer:
x = 14
x + 23 < 37 ( move constant to right-hand side and change its sign)
x<37-23 ( subtract numbers)
x < 14
Find the area of the triangle.
Area=
(Simplify your answer)
Answer:
formula is 1/2 *b * h
so h=8m
b=8m
Step-by-step explanation:
b*h=
8*8=64*1/2=
64divided by 2= 32m²
What is the distance between point (5, 9) and its reflection across the x-axis?
Answer:
10 units
Step-by-step explanation:
Pls solve this for 40 points and fast
Step-by-step explanation:
1)
10(3) + 2(1) = 32/4 = 8 mph
2)
[3(1.5) + 0.5x]/2 = 4
(4.5 + 0.5x) = 8
0.5x = 3.5
x = 7mph
victor is selling lemonade to raise money for his school the amount of money he collected from his sales each day is summarized on the box plot below
The interquartile range of Victor's lemonade sale is A = 7
What in Interquartile Range ( IQR )?The distance between the upper and lower quartiles is known as the interquartile range. Half of the interquartile range corresponds to the semi-interquartile range. Finding the values of the quartiles in a small data set is straightforward.
The spread of the data, or statistical dispersion, is measured by the interquartile range. The middle 50%, fourth spread, or H-spread are further names for the IQR. It is described as the spread between the data's 75th and 25th percentiles.
Given data ,
Let the interquartile range of sales of Victor's lemonade be A
Now , the equation will be
Let the 75th percentile data = 29
Let the 25th percentile data be = 22
Now , the IQR is calculated by spread between the data's 75th and 25th percentiles
On simplifying , we get
The IQR = 29 - 22 = 7
Hence , the interquartile range is 7
To learn more about interquartile range click :
https://brainly.com/question/15686744
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The complete question is :
Victor is selling lemonade to raise money for his school the amount of money he collected from his sales each day is summarized on the box plot below.
What is the interquartile range of the data?
please help!! I'm probably gonna be spamming sooo
Answer:
12π
is the correct answer
Plz answer will mark brainliest
Answer:
Step-by-step explanation:
w and d are the width and diagonal, respectively.
w = d/2 + 1 = (d+2)/2
Pythagorean theorem
w^2 + 8^2 = d^2
substitution
(d+2)^2/4 +64 = d^2
(d+2)^2 + 256 = 4d^2
d^2+4d+4 + 256 = 4d^2
3d^2-4d-260 = 0
Quadratic formula
d = [4±√( 4²-4(3)(-260))]/[2⋅3] = 10, -26/3
-26/3 is an extraneous solution, so d = 10 inches
w=d/2 +1 =6 inches
Ant‘s path = 8+6 = 14 inches
Beetle’s path = 10 inches
14 < 1.5(10)
Ant reaches food first.
PLEASE HELP WILL MARK BRAINLIEST!!
What is the value of j?
Answer:
21
Step-by-step explanation:
simply
the square represents 90 degrees and 90 - 61 is 21
Which of the following expressions can be written as 12(y – x)
Answer:
I think it would be -12(x-y)?
Step-by-step explanation:
help pls thank you
ok byeeee
Answer:
fine, the answer is 38.47 inches squared;why are you getting this from a live quiz? I know it is a live quiz because it probably is FLVS
Step-by-step explanation:
7 divided by 2 = 3.5
3.5 x 3.5 x 3.14 = 12.25 x 3.14 = 38.465
ROUND IT AND GET 38.47
what is the surface area ?
A. 78
B. 57
C. 50
D. 72
I gave Brainlist you ever answer first
Answer:
A. 78
Step-by-step explanation:
7 x 4 is the bottom and the bottom is the same as the top so I got 28 x 2 which is 56. 4 x 1 is one side. The other side is the same so I got 4 x 2 which is 8. 1 x 7 is the front and back. I got 7 x 2 is 14. i wrote 56 + 14 + 8 and got 78
hope this helps :)
Use properties of operation to write an expression equivalent to y/5 + (y + 4)
Answer:
Step-by-step explanation:
The scale on a map is 1 inch = 40 miles. If two towns are 90 miles apart, how far apart on the map should they be?
please help
Answer: 2.25
Step-by-step explanation: This is because 2.25*40 is 90
Hope this helps and brainliest would be appreciated
You are traveling down a country road at a rate of 95 feet/sec when you see a large cow 300 feet in front of you and directly in your lane. The cow is fearless, and staring you down. (Or perhaps she does not understand the gravity of the situation.) Regardless, if you simply hit your brakes, after t seconds, the car will be j(t) = 95t - 9t^2 feet from the point where the brakes were first applied.
1) Must you steer to avoid the cow, or can you rely solely on your brakes? Explain.
2) Graph J(t), j'(t), and j"(t) and Interpret their meanings in context.
3) Is there a time t after which the graphs in part (ii) probably do not accurately model the path of the car?
4) Write a piece-wise function using j(t) that would more accurately model the path of the car on the interval [0, 10], assuming the car did not move after it stopped. Sketch this graph and its derivative.
Answer:
1) You can rely solely on your brakes because when doing so the car will just travel 250ft from the point you hit your brakes till the point the car stopped completely, leaving you 50ft away from the cow.
2) See attached picture.
j(t) represents the distance from the point you hit the brake t seconds after you hit it in feet
j'(t) represents the velocity of the car t seconds after the brakes have been hit in ft/s.
j"(t) represents the acceleration of the car t seconds after the brakes have been hit in [tex]ft/s^{2}[/tex]
3) yes, any time after t=5.28 will not accurately model the path of the car since at that exact time the car will reach a velocity of 0ft/s and unless another force is applied to the car, then the car will not move after that time.
4) [tex]j(t)=\left \{ {{95t-9t^{2}; 0\le t<5.28s} \atop {250.69; 5.28s\leq t \leq 10s}} \right.[/tex]
[tex]j'(t)=\left \{ {{95-18t; 0\leq t<5.28s} \atop {0 ; 5.28s\leq t \leq 10s}} \right.[/tex]
(see attached picture for graph)
Step-by-step explanation:
1) In this part of the problem we need to find the time when the speed of the car is 0. Gets to a complete stop. For this we will need to take the derivative of the position function so we get:
[tex]j(t)=95t-9t^2[/tex]
[tex]j'(t)=95-18t[/tex]
and we set the first derivative equal to zero so we get:
95-18t=0
and solve for t
-18t=-95
[tex]t=\frac{95}{18}[/tex]
t=5.28s
so now we calculate the position of the car after 5.28 seconds, so we get:
[tex]j(5.28)=95(5.28)-9(5.28)^{2}[/tex]
[tex]j(5.28)=250.69ft[/tex]
so we have that the car will stop 250.69ft after he hit the brakes, so there will be about 50ft between the car and the cow when the car stops completely, so he can rely just on the breaks.
2) For answer 2 I take the second derivative of the function so I get:
[tex]j(t)=95t-9t^{2}[/tex]
[tex]j'(t)=95-18t[/tex]
j"(t)=-18
and then we graph them. (See attached picture)
j(t) represents the distance from the point you hit the brake t seconds after you hit it in feet
j'(t) represents the velocity of the car t seconds after the brakes have been hit in ft/s.
j"(t) represents the acceleration of the car t seconds after the brakes have been hit in [tex]ft/s^{2}[/tex]
3) yes, any time after t=5.28 will not accurately model the path of the car since at that exact time the car will reach a velocity of 0ft/s and unless another force is applied to the car, then the car will not move after that time.
4) [tex]j(t)=\left \{ {{95t-9t^{2}; 0\le t<5.28s} \atop {250.69; 5.28s\leq t \leq 10s}} \right.[/tex]
[tex]j'(t)=\left \{ {{95-18t; 0\leq t<5.28s} \atop {0 ; 5.28s\leq t \leq 10s}} \right.[/tex]
(see attached picture for graph)
Find the measure of 2.
50 2.
1130
< 2 =
[?]
100 POINTS! URGENT PLZ HELP
Select the correct answer. What is the simplified form of 4x√5-2π√5/3√5
[tex]\pink{\bigstar}[/tex] Simplified form [tex]\large\leadsto\boxed{\tt\purple{\dfrac{2 \pi}{3}}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Given:-[tex]\sf \dfrac{4 \pi \sqrt{5} - 2 \pi \sqrt{5}}{3 \sqrt{5}}[/tex]⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• To Find:-Simplified form⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Solution:-⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{4 \pi \sqrt{5} - 2 \pi \sqrt{5}}{3 \sqrt{5}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{2 \pi \sqrt{5}}{3 \sqrt{5}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{\sqrt{5} (2 \pi)}{\sqrt{5} (3)}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{\cancel{\sqrt{5}}(2 \pi)}{\cancel{\sqrt{5}} (3)}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
★ [tex]\bold\red{\dfrac{2 \pi}{3}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Therefore, Option A is the correct choice.
option A.
Step-by-step explanation:
we have
[tex] \frac{4\pi \sqrt{5} - 2\pi \sqrt{5} }{3 \sqrt{5} } [/tex]
taking out 2[tex] \pi\sqrt{5}[/tex] common from the numerator
[tex] \frac{2\pi \sqrt{5}(2 - 1) }{3 \sqrt{5} } [/tex]
canceling [tex] \sqrt{5} [/tex] from both numerator and denominator
[tex] \frac{2\pi(1)}{3} [/tex]
hence the answer is option A.
The lines below are parallel. If the slope of the green line is -2, what is the
slope of the red line?
Answer:
C. -2
Step-by-step explanation:
All parallel lines have the same slope
Find the exact values of the indicated trigonometric functions. Write fractions in lowest terms.
Right triangle ACB is shown where segment AC is twenty one units, segment CB is seventy two units, and segment BA is seventy five units.
Find sin B and tan B.
Answer:
sinB = 21/75
tanB = 21/22
Step-by-step explanation:
sinΦ = Height / Hypotenuse
tanΦ = Height / Base
Answer:
sin B = 7/25, tan B = 7/24
Step-by-step explanation:
sin = opposite / hypotenuse, tan = opposite / adjacent
Maybe I missed something but all I did was recreate your triangle and solve the trig ratios.
PLEASE HELP ME, I WILL MARK YOU BRAINLIEST!!
Five students came for after-school tutoring. Lin's teacher assigned each of them the same number of problems to complete. Then he assigned each student 2 more problems. 30 problems were assigned in all. Write an equation to the story. Then find the number of problems
originally assigned by the teacher. Be sure to explain how your reasoning.
Answer:
Step-by-step explanation:
Five students= 5x
They all got two more= 5x + 2(5)
5x + 10 = 30
- 10 -10
5x = 20
5
x = 4
What is the difference between the first image and the second??
Answer:
There is only one image
Step-by-step explanation:
If sin 0º = 0, then csc 0°=
(check image)
Answer:
Step-by-step explanation:
sin(0) = 0/2
sin(30) = 1/2
sin(45) = [tex]\sqrt{2}[/tex]/2
sin(60) = [tex]\sqrt{3}[/tex]/2
sin(90) = [tex]\sqrt{4}[/tex]/2
cos(90) = 0/2
cos(60) = 1/2
cos(45) = [tex]\sqrt{2}[/tex]/2
cos(30) = [tex]\sqrt{3}[/tex]/2
cos(0) = [tex]\sqrt{4}[/tex]/2
notice that sin and cos repeat, but in reverse
the answer for your questions is in there.