Answer:
The angle is in the third quadrant.
Shawn buys 15 shirts for a total of $60. Express this as an equation using 'X' as the cost of each shirt.
Answer:
15x = 60
Step-by-step explanation:
Hi,
We know he bought 15 shirts for an x amount of dollars, so 15 times however much they cost is 15x and the total is 60.
hope this helps :)
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.
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)
Tanner collected 360 cans and bottles while fundraising for his basketball team This was 40% less than what Reggie collected How many cans and bottles did Reggie collect?
Answer:
Reggie collected 504 cans and bottles.
Step-by-step explanation:
40%=.40
360*.40=144
360+144=504
Select the correct comparison.
Set A
Set B
.
....
24
8 10
4 6 8 12
A. The typical value and the spread are both greater in set B.
B. The typical value and the spread are both greater in set A.
C. The typical value is greater in set A. The spread is greater in set B.
D. The typical value is greater in set B. The spread is greater in set A.
Answer:i would say C ADHAKFFA
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
Solve for x Enter the solutions from least to greatest . (x - 4)(- 5x + 1) = 0 lesser x = greater x =
Answer: lesser x = 1/5 greater x = 4
Step-by-step explanation:
Jose Luis desea colocar una línea de azulejos alrededor de toda la piscina de su casa. La piscina tiene forma rectangular con un ancho de 10 m y una longitud de 25 m. , ¿cuántos metros lineales de azulejos necesitará comprar?
Answer:
70
Step-by-step explanation:
2 x (25 + 10) = 2 x 35 = 70
What is the slope of the line that goes through (-3, 2) and (3, 2)?
Answer:
m = 0
Step-by-step explanation:
Hope this helps:)
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.
What is the volume of the rectangular prism?
Use the distributive property to simplify the following expression: 3 (2 + 5z)
Select the correct answer. Sarah owns a flower shop and can model the profits from selling springtime bouquets using this equation, where b is the number of springtime bouquets. P = -5b^2 + 450b - 1,000
Which statement is true if Sarah needs to make a profit of at least $9,000?
A. Sarah must sell more than 90 bouquets.
B. Sarah must sell between 40 and 50 springtime bouquets.
C. Sarah must sell between 0 and 40 springtime bouquets.
D. Sarah must sell more than 50 springtime bouquets.
Answer:
B
Step-by-step explanation:
If you plug in the answers for guess and repeat this one works.
The correct statement is Sarah must sell between 40 and 50 springtime bouquets true if Sarah needs to make a profit of at least $9,000.
Given that,
Sarah owns a flower shop and can model the profits from selling springtime bouquets using this equation,
Where b is the number of springtime bouquets, [tex]P = -5b^2 + 450b - 1,000[/tex].
We have to determine,
Which statement is true if Sarah needs to make a profit of at least $9,000.
According to the question,
Sarah owns a flower shop and can model the profits from selling springtime bouquets using this equation,
[tex]P = -5b^2 + 450b - 1,000[/tex]
Divide the equation by -5,
[tex]P = -5b^2 + 450b - 1,000\\\\P = -b^2 + 90b - 200[/tex]
Factorize the equation for the value of profit,
[tex]b^2 - 90b +200 = 0\\\\b^2 -50b -40b +200= 0\\\\b ( b-50) - 40(b-50) = 0 \\\\(b-50) (b-40) = 0 \\\\b- 50 = 0, \ b = 50\\\\b - 40 = 0, \ b = 40[/tex]
Hence, Sarah must sell between 40 and 50 springtime bouquets.
To know more about Quadratic equations click the link given below.
https://brainly.com/question/22364785
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
1) f(x) = 3*
f(x)
x
-1
0
1
2 3
1)f(×)=3*=f(×)=×-1 0 1=0.23
What is the value of c so that −15 and 15 are both solutions of x^2−c=157?
Answer: -c= 157+X^2
Step-by-step explanation:
with one of these is a function
a
b
c
d
Answer:
It's B
Step-by-step explanation:
Answer:
B is a functional answer
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
Jeff and George each have a box of popcorn. How much more popcorn does the bigger box hold than the smaller box?
Answer:
there in not enough information in your question to get an answer
Answer:
Part 1: Jeff Part 2: 130
Step-by-step explanation:
What is the distance between point (5, 9) and its reflection across the x-axis?
Answer:
10 units
Step-by-step explanation:
Find the measure of 2.
50 2.
1130
< 2 =
[?]
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
CL 6-153
In 2012 the average cost for a new midsized car was about
$31,000. New car prices tend to go up about 2% every year.
a. What is the multiplier for this situation?
b. If this trend continues, what will the cost be in 4 years?
c. Write an equation to calculate the cost in n years. What does
each of the factors in your equation represent?
Answer:
A) The multiplier for this situation is 0.02.
B) The cost in 4 years will be $ 33,555.39.
C) 31,000 x 1.02 ^ N = X
Step-by-step explanation:
Since in 2012 the average cost for a new midsized car was about $ 31,000, and new car prices tend to go up about 2% every year, to determine what is the multiplier for this situation, what will the cost be in 4 years if this trend continues and to write an equation to calculate the cost in n years the following calculations must be performed:
A)
31,000 x 2/100 = X
31,000 x 0.02 = X
Thus, the multiplier for this situation is 0.02.
B)
31,000 x 1.02 ^ 4 = X
33,555.39 = X
Thus, the cost in 4 years will be $ 33,555.39.
C)
31,000 x 1.02 ^ N = X
Here, N represents the number of years over which the price increase will be calculated, and X represents the price after that number of years.
Graph the inequality.
x > 4
Answer:
Step-by-step explanation:
What is the difference between the first image and the second??
Answer:
There is only one image
Step-by-step explanation:
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.
Rackham Graduate School has 8,000 students (5,000 PhD students and 3,000 masters stu- dents). The Rackham Student Government Executive Board has 4 student members: a President, a VP of Operations, a VP of Finance, and a VP of Administration. Reminder: no need to simplify your answers in this homework (unless problem explicitly says to).
a) How many ways are there to choose the Exec Board from all Rackham students?
b) How many ways are there to choose the Exec Board so that there is at least one masters student and one PhD student? (for any of the 4 positions)
c) How many ways are there to choose the Exec Board if the VP positions have to be PhD students (the president can be either a PhD or Masters student)?
d) How many ways are there to choose the Exec Board so that there is at least one masters student VP?
Answer:
a) 8,000!/(8000 - 4)! ways
b) 15,000,000 + 7998!/(7998 - 2)! ways
c) 5,000 + 7,999!/(7,999- 3)! ways
d) 3,000 + 7,999!/(7,999- 3)! ways
Step-by-step explanation:
The number of students at Rackham Graduate School = 8,000 students
The number of PhD students = 5,000
The number of masters students = 3,000
The number of student members of the Rackham Student Government Executive Board = 4 students
a) The number of ways there are to choose the Exec Board from all Rackham students = The number of ways to choose 4 students from 8,000 = 8,000!/(8000 - 4)!
b) The number of ways of having one Master student in the board = 3,000 ways
The number of ways of having one PhD student in the board after selecting a masters student = 5,000 ways
The number of ways of selecting the remaining 2 members =
7998!/(7998 - 2)!
The total number of ways of selecting at least one masters and one PhD in the board is therefore equal to 5,000 × 3,000 + 7998!/(7998 - 2)! ways
c) The number of ways of choosing the VP position as PhD = 5,000 ways
The number of ways of choosing the other three members = 7,999!/(8000 - 3)!
Therefore, the total number of ways = 5,000 + 7,999!/(7,999- 3)! ways
d) The number of ways of choosing a masters student as the VP position = 3,000 ways
The number of ways of choosing the other three members = 7,999!/(8000 - 3)!
Therefore, the total number of ways = 3,000 + 7,999!/(7,999- 3)! ways
please help!! I'm probably gonna be spamming sooo
Answer:
12π
is the correct answer
The length of a cell phone is 1.41.4 inches and the width is 4.44.4 inches. The company making the cell phone wants to make a new version whose length will be 1.751.75 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
Answer:
Step-by-step explanation:
Answer:
5.573.75
Step-by-step explanation:
because math
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.