Answer:
[tex]f(t) = 1 - cos^2\ t[/tex] and [tex]f(t) = sin^2\ t[/tex]
Step-by-step explanation:
Given
[tex]\frac{sec\ t - cos\ t}{sec\ t} = f(t)[/tex]
Required
Simplify
[tex]f(t) = \frac{sec\ t - cos\ t}{sec\ t}[/tex]
Split fraction
[tex]f(t) = \frac{sec\ t }{sec\ t} - \frac{cos\ t}{sec\ t}[/tex]
[tex]f(t) = 1 - \frac{cos\ t}{sec\ t}[/tex]
[tex]sec\ t = \frac{1}{cos\ t}[/tex]
So, we have:
[tex]f(t) = 1 - \frac{cos\ t}{\frac{1}{cos\ t}}[/tex]
[tex]f(t) = 1 - cos\ t * cos\ t[/tex]
[tex]f(t) = 1 - cos^2\ t[/tex]
In trigonometry:
[tex]1 - cos^2\ t = sin^2\ t[/tex]
So, we have:
[tex]f(t) = sin^2\ t[/tex]
55 points and brainliest
What is the equation of the function that is graphed as line a?
y = 2 x - 1
y = - x - 1
y = - x
y = 3 x
Answer:
B. y = - x - 1Step-by-step explanation:
Line a is declining and has the y-intercept of -1
The equation with negative slope and - 1 y-intercept is:
y = - x - 1Correct option is B
55 points and brainliest
What is the equation of the function that is graphed as line a?
y = 2 x - 1y = - x - 1y = - xy = 3 xOption:-[tex]y = - x - 1[/tex]
Is a -2/3 a integer?Is it also a rational number?
I NEED HELP PLZZZ!!!!!!
Answer:
No the pay rates are not equivalent.
Step-by-step explanation:
Your pay rate per 8 hours is $56.
Your friends pay rate per 8 hours is $72.
A new version of the Medical College Admissions Test (MCAT) was introduced in spring 2015 and is intended to shift the focus from what applicants know to how well they can use what they know. One result of the change is that the scale on which the exam is graded was modified, with the total score of the four sections on the test ranging from 472 to 528. In spring 2015, the mean score was 500.0 with a standard deviation of 10.6.
Required:
What are the median and the first and third quartiles of the MCAT scores?
Answer:
The median of the MCAT scores was of 500.
The first quartile of MCAT scores was of 492.845.
The third quartile of MCAT scores was of 507.155.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The mean score was 500.0 with a standard deviation of 10.6.
This means that [tex]\mu = 500, \sigma = 10.6[/tex]
Median:
In a normal distribution, the median is the same as the mean, so the median of the MCAT scores was of 500.
First quartile:
This is the 100*(1/4) = 25th percentile, which is X when Z has a pvalue of 0.25. So X when Z = -0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 500}{10.6}[/tex]
[tex]X - 500 = -0.675*10.6[/tex]
[tex]X = 492.845[/tex]
The first quartile of MCAT scores was of 492.845.
Third quartile:
This is the 100*(3/4) = 75th percentile, which is X when Z has a pvalue of 0.75. So X when Z = 0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 500}{10.6}[/tex]
[tex]X - 500 = 0.675*10.6[/tex]
[tex]X = 507.155[/tex]
The third quartile of MCAT scores was of 507.155.
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLS SHOW THE WORK!!!!!!!!
Answer:
Step-by-step explanation:
X is 1 y is -4
Which gets the following:
X(1) + y(-4) = -3
x(1) + 2(-4) = -7
Answer:
Step-by-step explanation:
-1*(2x-3y+7)
Harrison pays $22.36 each month for his phone bill.
He also pays an extra $4.73 each time he makes a
long-distance call. Harrison paid a total of $64.93
for his phone bill last month. Write an equation to
find how many long-distance calls he made.
22.36 + 4.73c = 64.93
Solve the equation:
C
= [?]
Answer:
9
Step-by-step explanation:
64.93-22.36=42.57
42.57/4.73=9
Solve the inequality: x - 12 < -16
Answer:
x > -4
Step-by-step explanation:
What you do is in order to get the x by itself you need to do the opposite of -12 which is just +12 so you need to add 12 to both sides. You should end up with something like this:
x -12 + 12 < -16 + 12
x < -4
So, that should be your answer. Hope this helps :) Have a good day!!
According to her running log, Alexa averaged 4 Miles per week last month and 50%less this month. How much did she average this month?
Answer:
2 miles per week
Step-by-step explanation:
If she averaged 50% less this month, that means her average this month is half of 4.
Divide 4 by 2
4/2
= 2
So, she averaged 2 miles per week this month
What is the relation of the slopes of perpendicular lines or segments?
A) congruent
B) both positive
C)opposite reciprocals
D)both negative
Answer:
C
Step-by-step explanation:
In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees). The property extends to other related geometric objects.
Answer: D both negative
Step-by-step explanation:
3 feet = _____ inches
Answer: 3 Ft = 36 Inches
Step-by-step explanation:
A) what slope does this line have?
B) what is the slope of the line?
C) what is the y- intercept of the line?
D) what is the equation of the line?
Answer:
The slope is a positive linear slope
The slope is 2
The y-intercept is -4
The equation of this line would be: y = 2x - 4
Step-by-step explanation:
y = mx + b format
m = slope
b = y-intercept
and x and y are the x and y components
11. Interest earned: $10
Principal: $250
Interest rate: 4%
Time: ?
I just have a test due and can’t get these !!
Answer:
hello
Step-by-step explanation:
no sé soy nuevo jajajaja
An electrical completes 1/6 of job in 2/3 hours At this rate how many hours does it take the electrician to complete the job
Answer:
4 hours
Step-by-step explanation:
6 × 2 = 12
12 ÷ 3 = 4
4 hours is the correct answer
Glad I could help:)
In order to describe the velocity of an object, which three pieces of data are needed?
� The mass of the object in grams � The speed at which the object traveled � The pull of gravity on the object
� The distance traveled by the object � The time taken to travel � The direction of travel
� The mass of the object in grams � The time taken to travel � The acceleration of the object object
� The distance traveled by the object � The force the object had on another object � The mass of the object in grams
PLZZZ HURRY !! MARK BRAINLIST
Answer:
The distance traveled by the object � The time taken to travel � The direction of travel
Step-by-step explanation:
Answer:
It's B The distance traveled by the object � The time taken to travel � The direction of travel
Brad paid $7.00 for books and $0.99
for pencils. How much did he spend?
A $10.60
B $1.06
$79.90
$7.99
Answer:
7.99 or D
Step-by-step explanation:
It is simple addition.
help find the radius
Answer:
12.5
Step-by-step explanation:
the radius of a circle is half of the diameter
PLEASE ANSWER FOR BRAINLIEST!!!!!!!!!
You are choosing between two health clubs. Club A offers membership for a fee of $18 plus a monthly fee of $14. Club B offers membership for a fee of $21 plus a monthly fee of $13. After how many months will the total cost of each health club be the same? What will be the total cost for each club?
In __ months the total cost of each health club will be the same.
The total cost for each health club will be $__.
Answer:
In 3 months the total cost of each health club will be the same.
The total cost for each health club will be $_60_.
Step-by-step explanation:
i agree with the person who was first
Answer:
me tooooo!
Step-by-step explanation:
3. Find the missing side length
of the right triangle below.
Help me please
Determine the ratio for COS C in the picture below
Answer:
Step-by-step explanation:
Cos=opposite/hypotenuse
Cos C=32/40 or 4:5
Cos C=0.8
Which option best describes the likelihood of Jennifer picking a green ball
NEED THIS ASAP Solve each inequality and graph its solution
Answer:
x>22
Step-by-step explanation:
hope this helps
Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 460 miles o. 20 gallons of gas. How far could you drive on 70 gallons of gas.
Answer:
1,610 miles
Step-by-step explanation:
If you do 460/20 you get the gas mileage. The gas mileage is 23. If you do 23*70 you get 1610 miles out of 70 gallons of gas. (Double-check to make sure I'm correct)
50 POINTS AND MARKED BRAINLIEST IF U DO THIS ASAP!
LOOK AT PICTURE
Answer:
Diagram 2, 12 foul balls
Step-by-step explanation:
12/3=4
12-4=8
Please answer fast! I have only like 15 minutes. :(
Answer:
A is the correct answer. hope this helps you
Convert 1/4% to ratio
Answer:
1 : 4
Step-by-step explanation:
I need help with this if you get it right I will mark you
What’s the closets fraction to 1/2
Answer:
1/2 2/4 3/6
Step-by-step explanation:
Answer:
7/13
Step-by-step explanation:
if 1/26 is closest to zero then 7/13 is closer to 1/2
30 PTS
Is 2.6 < -6.2 explain
Answer:
No
Step-by-step explanation:
2.6> -6.2
2.6 is more positive
Answer:
no
Step-by-step explanation:
the 6.2 is negative so it's below zero therefore this is false
ten to the power of 8
Answer:
000000000
Step-by-step explanation:
