Answer:
The 3, and -4 are the places where you start, then just graph 1/2 and -3 as slope
Step-by-step explanation:
Step-by-step explanation:
you start at -4 and then you go down 3 and to the right 2
A racecar is racing along a circular track. The car starts at the 3-o'clock position and travels CCW along the track. The car is constantly 8 feet from the center of the race track and travels at a constant speed and it takes the car 7.854 seconds to complete one full lap.
a. How many radians does the car sweep out per second? radians per second Preview
b. Write a function fthat determines the car's distance to the right of the center of the race track (in feet) in terms of the number of seconds t since the start of the race. f(t)
Answer:
a. The car sweeps out 0.799 radians per second.
b. f(t) = 8 cos (0.799t)
Step-by-step explanation:
Given that:
The radius r = 8 feet
a.
The time t it takes to complete one full lap = 7.854 seconds
Recall that:
Angular velocity ω = 2π / t
So if in 7.854 seconds, the car sweeps = 2π radian
∴
per second, the car will sweep ω = 2π/ 7.854
ω = 0.799 rad/sec
Thus, the car sweeps out 0.799 radians per second.
b.
Since, r = 8 feet.
Suppose the car travels an angle θ in time (t),
Then the general equation for the horizontal component is:
f(t) = rcos( ωt)
f(t) = 8 cos (0.799t)
The true statements are:
The car swept out [tex]0.255 \pi[/tex] radians per secondsThe function f that determines the car's distance at time t is: [tex]f(t) = 8\cos( 0.255\pi t)[/tex]The given parameters are:
Radius = 8 feetTime = 7.584 seconds(a) The radian swept per secondsTo do this, we simply calculate the angular velocity as follows:
[tex]\omega = \frac{2\pi}{T}[/tex]
Substitute 7.854 for T
[tex]\omega = \frac{2\pi}{7.854}[/tex]
Simplify
[tex]\omega = 0.255 \pi[/tex]
Hence, the car swept out [tex]0.255 \pi[/tex] radians per seconds
(b) The function at time tTo do this, we simply make use of the general equation for the horizontal component as follows:
[tex]f(t) = r\cos( \omega t)[/tex]
Substitute 8 for r
[tex]f(t) = 8\cos( \omega t)[/tex]
Substitute [tex]\omega = 0.255 \pi[/tex]
[tex]f(t) = 8\cos( 0.255\pi t)[/tex]
Hence, the function f that determines the car's distance at time t is: [tex]f(t) = 8\cos( 0.255\pi t)[/tex]
Read more about angular velocity at:
https://brainly.com/question/6860269
What does x an y represent
Answer:
x represents the bottom and y represents the top
Step-by-step explanation:
Answer:
grid
Step-by-step explanation:
So they x in the grid it a straight line in the middle ok. Then we have the y which is the one that's up and down in the grid. Also when the numbers are added that are ploted somewhere on the x goes first because x goes first in the alphabet.
How do you find slope? like...what's the equation? Cause nothing in my math class makes sense rn and finding the slope of things is the reason why
A newspaper surveyed households to determine how likely they were to subscribe to their publication. The results are shown below by annual household income.
Household Income
< $60,000 > $60,000
I would never purchase a newspaper subscription. 40 63
I might or might not purchase a newspaper subscription. 53 70
I would probably purchase a newspaper subscription. 65 32
I already purchase a newspaper subscription. 73 16
Identify the percentage of families with an income more than $60,000 who might or might not purchase a newspaper subscription. What does this number represent?
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is C
Step-by-step explanation:
The sample
Household Income
< $60,000 > $60,000
I would never purchase a newspaper subscription. 40 63
I might or might not purchase a newspaper subscription. 53 70
I would probably purchase a newspaper subscription. 65 32
I already purchase a newspaper subscription. 73 16
Generally the sample size is mathematically represented as
[tex]n = 40 + 53 + 65+ 73 + 63 + 70 + 32+ 16[/tex]
=> [tex]n = 412[/tex]
Generally the number of the sample with an income greater $60,000 is mathematically represented as
[tex]N = 63 + 70 + 32 + 16[/tex]
=> [tex]N = 181[/tex]
Generally the number of families with an income more than $60,000 who might or might not purchase a newspaper subscription is
[tex]X = 70[/tex]
Generally the percentage of families with an income more than $60,000 who might or might not purchase a newspaper subscription is
[tex]P(X) = \frac{70}{181} * 100[/tex]
=> [tex]P(X) = 39\%[/tex]
What two numbers multiply to 11.6
Please help
:(((
Mrs. Roslin has 32 students in her class. Of these students, 14 are girls. She chooses one boy and one girl at random to help pass out papers. Determine the total number of outcomes.
(Basically how many different outcomes can be made... no explanation needed.)
Answer:
2 outcomes
Step-by-step explanation
The Roslin has 32 students in her class, of these students, 14 are girlsl number of outcomes are 252.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The total number of outcomes can be found by multiplying the number of options for choosing a boy by the number of options for choosing a girl:
Number of outcomes = number of options for choosing a boy x number of options for choosing a girl
Since Mrs. Roslin has 32 students in her class, there are 32 - 14 = 18 boys in her class.
So the number of options for choosing a boy is 18, and the number of options for choosing a girl is 14.
Therefore, the total number of outcomes is:
18 x 14 = 252
Hence, the total number of outcomes is 252.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ3
find the total cost or sale price to the nearest cent and write your answer with a dollar sign
$2,500 jet ski; 6.5% tax
Answer:
$2662.5 is the answer in my opinion
someone sole this please?!
Answer:
[tex] \frac{3x}{5} - \frac{1}{10} = \frac{x + 2}{10} - 2 \\ \frac{6x - 1 = x + 2 - 20}{10} \\ 6x - x = - 18 + 1 \\ 5x = - 17 \\ x = - \frac{17}{5} [/tex]
Answer:
x= -17/5 or x=-3.4
Step-by-step explanation:
1. multiply both sides of equation by 10 (6x-1 = x+2-20)
2, calculate the difference (6x -1=x-18)
3. move the terms ( 6x-x-1=-18)
4. collect like terms ( 5x=-18+1)
5. divide both sides (x=-17/5)
3(2x – 14) = -3(-13 + x)
Answer:
9
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
AnswerX=9
Step-by-step explanation:
6x-42=39-3x
What is the Simplified Answer: (5x+11)-(2x-3)
Answer: 3x + 14
Step-by-step explanation: you have to combine the terms 11 + 3 = 14 5x - 2x = 3x
is the product of 8 negative numbers and 7 positive numbers a positive number or a negative number?
Answer:
negative
Step-by-step explanation:
Positive numbers do not change the polarity of a number in multiplication, only negative numbers.
What is the equation of the line represented by the table below?
x y
-3 1
6 4
12 6
30 12
Answer:
[tex]\displaystyle y-1=\frac{1}{3}(x+3)[/tex]
Step-by-step explanation:
Equation of a Line
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The table shows the relation between x and y. It contains the following points
(-3,1), (6,4), (12,6), (30,12).
Taking the two first points, we find the equation of the line:
[tex]\displaystyle y-1=\frac{4-1}{6+3}(x+3)[/tex]
[tex]\displaystyle y-1=\frac{3}{9}(x+3)[/tex]
Simplifying:
[tex]\displaystyle y-1=\frac{1}{3}(x+3)[/tex]
To ensure the rest of the points belong to the line, we test them:
For the point (12,6):
[tex]\displaystyle 6-1=\frac{1}{3}(12+3)[/tex]
[tex]\displaystyle 5=\frac{1}{3}(15)[/tex]
5=5
Since equality is true, the point belongs to the line.
For the point (30,12):
[tex]\displaystyle 12-1=\frac{1}{3}(30+3)[/tex]
[tex]\displaystyle 11=\frac{1}{3}(33)[/tex]
11=11
Since equality is true, the point belongs to the line.
Thus, the equation of the line is:
[tex]\mathbf{\displaystyle y-1=\frac{1}{3}(x+3)}[/tex]
Which function could this graph represent?
A) an even-degree function with two relative extrema
B) an odd-degree with three relative extrema
C) an even-degree function with three relative extrema
D) an odd-degree with two relative extrema
Answer:
Option (A)
Step-by-step explanation:
From the graph attached,
Right and left ends of the graph are moving downwards.
Ends moving upwards or downwards (In the same side of x-axis) tells the graph to be an even function.
There are two maximum points (points having maximum y-values)represent the two relative extrema of the function.
Therefore, Option (A) will be the correct option.
Can someone please help me? I can't find the h(x) for 0. I also need help with the last question. Please I need it very soon.
9514 1404 393
Answer:
see attachments for a table and graph
Step-by-step explanation:
I find it convenient to use a graphing calculator or spreadsheet to do repetitive computations reliably.
__
Your specific question asks for h(0):
h(0) = -|0 +2| +1 = -2 +1
h(0) = -1
You may want to check your other table values.
rob bought 15 concert tickets worth $322.50. Floor tickets cost $25 each while balcony tickets cost $17.50 each. How many tickets of each type did rob bye?
Answer:
8 floor tickets and 7 balcony tickets.
Step-by-step explanation:
f+b=15
25f+17.50b=322.50
Answer:
8 floor tickets, 7 balcony tickets
Step-by-step explanation:
F + B = 15
25F + 17.50B = 322.50
Randy bought 6 candy bars for $7.20. What is the cost per candy bar? PLS HELP FAST IT IS WORTH 45 POINTS AND MY GRADE
Answer:
$1.20 per candy bar
Step-by-step explanation:
7.2 ÷ 6 = 1.2
Use the graph below to answer the question. Quadrilateral PQRS will be rotated 90° clockwise about the origin resulting in quadrilateral P'Q'R'S'. Which statement is true
Answer: it’s D
Step-by-step explanation:
Please please help! Its due soon!! Ill mark brainliest!!
I need side b, using tangent!! Thank you!!
Answer:
tan 68 degrees = b/60
60 * tan 68 degrees = b
b = 148.5 in tenths, 149 as a whole number, and 148.51 in hundredths
Step-by-step explanation:
Hope it helps!
Answer:
tan 68 degrees = b/60
60 * tan 68 degrees = b
b = 148.5 in tenths, 149 as a whole number, and 148.51 in hundredths
. Step-by-step explanation:
Hope it helps!
plss help ASAP
What is the ratio of blue shapes to all shapes in the set below?
4.9
5.9
4.5
5.4
Answer:
5:9
Step-by-step explanation:
There are 5 blue shapes out of 9 total shapes.
Make a table of values and graph the solutions of the given equation.
y= 2x + 1
Find y when x=1
Which statement best explains the relationship between
lines AB and CD?
They are parallel because their slopes are equal.
They are parallel because their slopes are negative
reciprocals.
They are not parallel because their slopes are not
equal.
They are not parallel because their slopes are
negative reciprocals.
A- they are parallel because they have equal slopes.
Mr. Accardi sold 600 tickets for the high school play. If adult tickets cost $6.00 each and student tickets cost $4.00 each, how many of each type of ticket did he sell if $2,900.00 was collected in ticket money?
Given:
Total number of tickets = 600
Cost of adult ticket = $6.00
Cost of student ticket = $4.00
Total sales = $2900.00
To find:
The number of tickets of each type.
Solution:
Let the number of adult tickets be x and number of student tickets be y.
According to the question,
[tex]x+y=600[/tex] ...(i)
[tex]6x+4y=2900[/tex] ...(ii)
Multiply equation (i) by 4 and subtract the result from (ii),
[tex]6x+4y-4(x+y)=2900-4\times 600[/tex]
[tex]6x+4y-4x-4y=2900-2400[/tex]
[tex]2x=500[/tex]
Divide both sides of 2.
[tex]x=250[/tex]
Put x=250 in (i).
[tex]250+y=600[/tex]
[tex]y=600-250[/tex]
[tex]y=350[/tex]
Therefore, number of adult tickets is 250 and number of student tickets is 350.
(Geometry) Please help! 50 points
Answer:
A) similar; SSS similarity
Step-by-step explanation:
You have to find the proportion by dividing each side to the according side
35/14 = 2.5 - S/D
20/8 = 2.5 - R/E
30/12 = 2.5 - Q/F
Answer:
A B AND C
Step-by-step explanation:
The answers are
abcthe area of a rectangle is 177 square meters the width is 9 meters what is the length of the rectangle
Answer:
19.67
Step-by-step explanation:
divide 177 by 9. the answer is 19.66666667, but you might have to round ;)
Misaki cut some wood for a bookcase she is building.She needs to find how many 13 ft boards she can make from a 5 ft board.Explain how to model with fraction bars to solve the problem.
Complete question :
Misaki cut some wood for a bookcase she is building.She needs to find how many 1/3 ft boards she can make from a 5 ft board.Explain how to model with fraction bars to solve the problem
Answer:
15
Step-by-step explanation:
Total Size of board = 5 feets
Size of board to be made = 1/3 feets
Number of 1/3 feets board to be made from 5 feets board :
Total size of board / size of board to be made
5 feets ÷ 1/3 feets
5 feets * 3 / 1 feets
= 15
Hence, number of 1/3 feets board that can be made from 5 feets board = 15
Which pair of triangles must be similar? * 1 point Triangles 1 and 2 each have a 50 degree angle. Triangles 3 and 4 are both isosceles. They each have a 60 degree angle. Triangle 5 has a 40 degree angle and a 95 degree angle. Triangle 6 has a 35 degree angle and a 70 degree angle. Triangle 7 has a 60 degree angle and a 10 degree angle. Triangle 8 has a 60 degree angle and a 100 degree angle.
Answer:
Triangles 3 and 4 are both isosceles. They each have a 60 degree angle.
This is a similar triangle.
Step-by-step explanation:
Isosceles triangle is one in which two sides are equal.
Similar triangles are triangles which have all corresponding angles equal and which have corresponding sides with the same ratio.
Now the given isosceles triangle both have all three angles equal to 60 degrees which makes them similar triangles.
The other choices given are not similar triangles because
1) they do not have all corresponding angles equal
2) their lengths are unknown and cannot be assumed to be in ratio.
I need help with this question -3/8 + 1/6
Answer:
5/24
Step-by-step explanation:
Step-by-step explanation:
[tex] - \frac{3}{8} + \frac{1}{6} [/tex]
[tex] (- \frac{3}{8} \times \frac{3}{3} ) + ( \frac{1}{6} \times \frac{4}{4} )[/tex]
[tex] - \frac{9}{24} + \frac{4}{24} [/tex]
[tex] - \frac{5}{24} [/tex]
help please i need it
dhhdkhdkjhdkdhkshdksj
Answer:
26 percent sodium
also can i have brainliest please
1 Admission to the local movie theater is $3 for each child and $7 for each adult. A group of 12 people pay $64 admission. How many children are in this group?
Given:
Admission to the local movie theater is $3 for each child and $7 for each adult.
A group of 12 people pay $64 admission.
To find:
The number of children in a group.
Solution:
Let the number of children be x and number of adults be y.
According to the question,
Total persons : [tex]x+y=12[/tex] ...(i)
Total cost : [tex]3x+7y=64[/tex] ...(ii)
Multiply equation (i) by 7 and subtract the result from (ii).
[tex]3x+7y-7(x+y)=64-7(12)[/tex]
[tex]3x+7y-7x-7y=64-84[/tex]
[tex]-4x=-20[/tex]
Divide both sides by -4.
[tex]x=5[/tex]
Therefore, the number of children is 5.
You have $22 to spend on four raffle tickets. After buying them you had $6. How much did each raffle ticket cost?
Answer:
$4 each
Step-by-step explanation:
Answer:
each ticket cos $4
Step-by-step explanation:
because is you multiply 4 × 6 is 16
and 22-16=6