Answer:
AB and MN
∠B and ∠N
CB and LN
Step-by-step explanation:
edg
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]
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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.
Explain how can you use place value to compare 1.679 and 1.697.
Thanks!
Answer:
Well, you look at each individual place value.
1.679 and 1.697
Compare 1 to 1. They are the same. Move on.
Compare 0.6 to 0.6. They are the same. Move on
Compare 0.07 and 0.09. They are not the same. 0.07 is less than 0.09
Therefore 1.679 < 1.697
Hope this helps :)
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James bill at a restaurant
is $39.50. If he wants to
tip his server 18% how
much money should he
leave?
Answer:
46.61
Step-by-step explanation:
18% of 39.50 = 7.11
39.50 + 7.11 = 46.61
SINE COSINE and TANGENT ratios
(Type an integer or simplified fraction)
Answer:
17 / 8
Step-by-step explanation:
sec A = [tex]\frac{1}{cos A}[/tex]
cos A = [tex]\frac{40}{85}[/tex] = [tex]\frac{8}{17}[/tex] ⇒ sec A = [tex]\frac{17}{8}[/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.
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]
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.
x^2+1=0
What are the roots of this equation?
Thanks!
this is the answer for this question
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]
Make a table of values and graph the solutions of the given equation.
y= 2x + 1
Find y when x=1
1. What value is equivalent to 3 x 12 - (4 + 2)?
Answer:
30
Step-by-step explanation:
(3x12)-(4+2)
36-6
30
the 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 ;)
A 2-column table with 4 rows. Column 1 is labeled Item Sold with entries Microwave Oven, Refrigerator, Dishwasher, Washing Machine. Column 2 is labeled Sale Price with entries 130 dollars, 600 dollars, 300 dollars, 350 dollars.
Rashad works at an appliance store. He earns 10 percent of the total amount he sells. The table shows the amount of sales he made in one day.
What is the total amount of Rashad’s sales?
How much does Rashad earn from his sales?
Answer:
1.) 1,380
2.) 138
Step-by-step explanation:
I know i'm 5 days late but why let the question go to waste
If He earns 10 percent of the total amount he sells, He would Get-
The total amount of Rashad’s sales- 1,380
How much does Rashad earn from his sales- 138
Have a Nice day!
Answer:
1380
138
Step-by-step explanation:
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
Juan is making a cookout and needs 5 kilograms of fajita. There are approxiently 450gras in 1 pound. Which measurement is closest to the number of pounds in 5 kilograms
Answer:
The measurement closest to the number of pounds in 5 kilograms is 11.1 pounds
Step-by-step explanation:
To determine the measurement closest to the number of pounds in 5 kilograms,
First, we will convert 5 kilograms to grams. Let the value in grams be x grams.
(NOTE: 1 kilogram = 1000 grams)
If 1 kilogram = 1000 grams
Then, 5 kilograms = x grams
x = (5 × 1000) / 1 grams = 5000 grams
∴ 5 kilograms = 5000 grams
Now, we will determine the measurement closest to the number of pounds in 5000 grams. Let the number of pounds in 5000 grams be y.
From the question,
There are approximately 450grams in 1 pound
If there are 450 grams in 1 pound
Then, there will be 5000 grams in y pounds
y = (5000 × 1) / 450 pounds = 11.1 pounds
y = 11.1 pounds
∴ 5 kilograms = 5000 grams = 11.1 pounds
Hence, the measurement closest to the number of pounds in 5 kilograms is 11.1 pounds.
47 multiplied by 6 is?
Answer:
282
Step-by-step explanation:
47*6=282
Forty seven six times.
-4x+5y-x-9y....guys need help
Answer:
-5x-4y
Step-by-step explanation:
Combine like terms:
-4x-x+5y-9y rearrange
-5x-4y.
Hope this helps :D
What is the equation of the line that passes through the point (8,4) and has a slope of 3/2 ?
Answer:
y = [tex]\frac{3}{2}[/tex] x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{3}{2}[/tex] , thus
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (8, 4) into the partial equation
4 = 12 + c ⇒ c = 4 - 12 = - 8
y = [tex]\frac{3}{2}[/tex] x - 8 ← equation of line
The equation of a line that has a slope of 3/2 and passes through (8, 4) can be written as:
[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] (point-slope form) or
[tex]y = \frac{3}{2}x - 8[/tex] (slope-intercept form).
Given:
a point on a line: (8, 4)
slope of the line: 3/2
The equation of the line can be written in either point-slope form or slope-intercept form.
First, let's write the equation in point-slope form since we know one of the points and the slope.
Point-slope equation takes the form: y - b = m(x - a)Where,
(8, 4) = (a, b), andm = 3/2Substitute[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] =>> point-slope form.
Also, we can rewrite in slope-intercept form as follows:[tex]y - 4 = \frac{3}{2} (x - 8)[/tex]
Open bracket[tex]y - 4 = \frac{3}{2}x - 12[/tex]
Add 4 to both sides[tex]y - 4 + 4 = \frac{3}{2}x - 12 + 4\\\\y = \frac{3}{2}x - 8[/tex](slope-intercept form)
Therefore, the equation of a line that has a slope of 3/2 and passes through (8, 4) can be written as:
[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] (point-slope form) or
[tex]y = \frac{3}{2}x - 8[/tex] (slope-intercept form).
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Mary made a 48.5% on her math test. Which of the following shows a fraction and a decimal equivalent to 48.5%? 485 A and 0.485 10.000 485 B and 48.5 100 485 С and 4.85 100 485 D and 0.485 1.000
please show me the work I need it right know☹️
B.
you can eliminate A and D because grades are distributed by 100. and c only has 4.85 when the question says she made a 48.5
You and your friend went shopping. You bought 2 hats and 3 pairs of gloves for $28.25. Your friend bought 1 hat and 1 pair of gloves for $12.25. How much did one hat cost? How much did one pair of gloves cost? (Answers should reflect the real world scenario by including appropriate units.)
Answer:
One pair of gloves costs $3.75.
Step-by-step explanation:
Systems of equations
x=hats y=gloves
2x+3y=28.25
x+y=12.25
2(12.25-y)+3y=28.25
24.5+y=28.25
y=3.75
what is the answer to 66x10?
Answer:
660
Step-by-step explanation:
66x10
=660.
So the answer is 660
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
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)
:(((
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.
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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
What two numbers multiply to 11.6
Please help
1 $40.00 shirt is on a 10% off sale rack, What is the final price of the shirt 8.25%
tax is applicable?
Answer:
$38.97
Step-by-step explanation:
100% - 10% = 90% = 0.9
$40 × 0.9 = $36
100% + 8.25% = 108.25% = 1.0825
$36 × 1.0825 = $38.97
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.
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.