Given:
The given function is
[tex]y=\sec x[/tex]
To find:
The period of given function.
Solution:
General sec function is defined as
[tex]y=A\sec (Bx+C)+D[/tex]
Where, A is amplitude, [tex]\dfrac{2\pi}{B}[/tex] is period, [tex]-\dfrac{C}{B}[/tex] is phase shift and D is vertical shift.
We have,
[tex]y=\sec x[/tex]
Here, B=1. So,
[tex]Period=\dfrac{2\pi}{1}[/tex]
[tex]Period=2\pi[/tex]
Therefore, the period of given function is 2π.
The value of period of function y = sec x is, 2π.
The given function is,
y = sec x
Since, We know that,
General form of equation for sec x is,
y = A sec (Bx + C) + D
Where, A is amplitude, 2π/B is period and D is vertical shift.
Here, function is,
y = sec x
Hence, B = 1,
So, Period = 2π/B
= 2π/1
= 2π
Thus, The value of period of function y = sec x is, 2π.
Learn more about trigonometric ratios at:
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Please answer thank you
Answer:
y=10.2x
Step-by-step explanation:
x represents hikers
y represents total pounds
what am i supposed to put in that chart?
Answer:
as explained
Step-by-step explanation:
as in the photo i've shown :
i've shown the table for you both
i've shown the graph for one only the second one hope you can complete it if you have any questions you can ask.
for first one
if x=2 replace x=2 in f(x) you will get f(2)=4
f(3)=1
f(4)=0
f(5)=1
f(6)=4
Why did I start with x=2 and not x=1 because f(1)=9 in the graph provided there is no marking for y=9 but when drawing the graph extends it (as in photo 3 not as in photo 4)(graph in photo 3 is better)
Hope you understand(you can also put(2,4) ,(3,1) and so on in the graph as in photo 5
Which of the following must be true for the parallelogram shown below?
Answer:
We conclude that:
Option D i.e. m∠DAB = m∠BCD is correct option.
Step-by-step explanation:
We know that a Parallelogram is a quadrilateral with two pairs of parallel sides.
We also know that the opposite angles of a parallelogram are equal.
Given
m∠DABm∠BCDFrom the figure:
It is clear that m∠DAB is the opposite angle of m∠BCD.
Thus,
m∠DAB = m∠BCD ∵ opposite angles of a parallelogram are equal.
Therefore, we conclude that:
Option D i.e. m∠DAB = m∠BCD is correct option.
how do you find out whether somethings a function or not?
Step-by-step explanation:
if you can put a vertical line through it and it only touches the line once it's a function
Answer:
Step-by-step explanation:
Select the correct answer from each drop-down menu.
The
In a circle with a radius of 7 feet, the radian measure of the central angle subtended by an arc with a length of 4 feet is
area of the sector formed by the arc is
Assume T = 3.14, and round your answers to the nearest hundredth.
square feet.
100 POINTS
Answer:
87.9? maybe i am not sure
Step-by-step explanation:
Step-by-step explanation:
Circumference of circle = π2r = 14πft.
Angle subtended by arc
= 2π * (Arc length/Circumference)
= 2π * (4ft/14πft) = 0.18π. (2d.p.)
Area of sector = 0.5r²(Angle subtended by arc)
= 0.5 * (7)² * (0.18π)
= 14.00ft². (2d.p.)
what is an eqivallent fraction to 4/3
Answer:
8/6
Step-by-step explanation:
That is because 8 and 6 are double than that of 4 and 3 so it is an equavalent equation.
Answer:
8/6
Step-by-step explanation:
Multiply the numerator and denominator by 2! :)
What is the value of the expression 5ab−7b+c when a=3, b=3, and c=4?
13
24
28
39
Answer: the value of the expression is 28
Step-by-step explanation:
we simply substitute the letters in for the numbers.
5(3)(3) - 7(3) + (4)
we just multiply all of those together.
45 - 21 + 4
answer: 28
Answer:
the value of the expression is 28
Step-by-step explanation:
since we have already been given the values of a, b and c ,we must substitute them in the expression like this:
5(3)(3)-7(3)+4
28
4(b-3)=6 put the steps in Oder to solve the equation from first to last
Answer:
B= 9/2 Hope this helped
Let's solve your equation step-by-step.
4(b−3)=6
Step 1: Simplify both sides of the equation.
4(b−3)=6
(4)(b)+(4)(−3)=6(Distribute)
4b+−12=6
4b−12=6
Step 2: Add 12 to both sides.
4b−12+12=6+12
4b=18
Step 3: Divide both sides by 4
The value of b in the expression 4(b - 3) = 6 is 4.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, 4(b - 3) = 6 and we have to solve for b.
4(b - 3) = 6.
4b - 12 = 6. (distributive law a(b+c) = ab + ac).
4b = 6 + 12. (constants change sign when moved to the other sides).
4b = 16.
b = 16/4.
b = 4.
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A countertop is 11 feet long and 8 feet wide.
Part 1 out of 2
What is the area of the countertop in square meters? Use the conversion 1 foot = 0.305 meter. Round your final answer to 2 decimal places.
The countertop is
square meters.
Part 2 out of 2
Tile costs $28 per square meter. How much will it cost to cover the countertop with new tile?
It will cost $
to cover the countertop with new til
PLZZZZZ
HELPPPPPP
MEEEEEE
PLZZZZZ
A political action committee wanted to estimate the proportion of county residents who support a change to the county leash law. They took a random sample of 600 county residents and found that the proportion who wanted to change the law was 33% with a margin of error of +/- 4% (with 95% confidence). This implies:_____
a. If we took another sample of 600 residents the sample proportion would definitely be between 29% and 37%.
b. If we take many other samples from this population 95% of them will have a sample proportion that is between 29% and 37%.
c. We can not conclude anything about the population parameter since this is only a sample.
d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.
e. There is a 95% chance that the true parameter is 33%.
Answer:
d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.
Step-by-step explanation:
Meaning of a confidence interval:
A x% confidence interval being between a and b means that we are x% sure that the true population proportion is between a and b.
In this question:
Sample of 600, proportion who wanted to change the law was 33% with a margin of error of +/- 4% (with 95% confidence). This implies:
From the concept of confidence interval above, the correct answer is:
d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.
If a tires k=0.85, what does this tell you about the tire installed on the car as opposed to the factory-installed tire?
A) The tire on the car is smaller than factory installed tire.
B) The tire on the car is the same as the factory installed tire.
C) The tire on the car is larger than the factory installed tire
D) The k value tells us nothing about the tire on the car.
Answer: since I don’t understand this question I’m choosing D
Step-by-step explanation:
I will give brainiest to whoever answers correctly !!
rewrite the expression 2+5×4-2 with parenthesis to equal the given value: 12
A 40-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 4 times as long as the first piece. If x
represents the length of the first piece, find the lengths of all three pieces.
What is the length of the first piece?
What is the length of the second piece?
What is the length of the third piece?
Answer:
The first piece is 5 inches long, while the second is 15 inches and the third one is 20 inches.
Step-by-step explanation:
To determine the length of the 3 pieces, knowing that the total of the board is 40 inches, and that the second measures 3 times more than the first and the third measures 4 times more than the first, the following equation must be performed:
X + 3X + 4X = 40
8X = 40
X = 40/8
X = 5
Therefore, the first piece is 5 inches long, while the second is 15 inches and the third 20 inches.
Please answer quick!!! Will Mark BRAINLIEST!!!
Answer:
picture 1 : 360 cm2
picture 2: sorry I don't really know
picture 3: 11.25 cm2
Step-by-step explanation:
hope this helps
can u pls help me with this question asap
Answer:
$14670
Step-by-step explanation:
Selling price of the house = $326000
Commission rate of the agency = 4.5%
Commission amount earned by the agency = 326000 × 0.045
= $14670
Commission rate of the agent = 20% of commission earned by the agency
= [tex]\frac{20}{100}\times 14670[/tex]
= $2934
Therefore, agency made $14670 on the house.
I GIVVEV BRAINLILSTTTTTTTTTTTTTTTT
Answer:
x-2, y+6
Step-by-step explanation:
Count up for Y and count to the left for X
Answer:
(x, y ) → (x - 10, y + 7 )
Step-by-step explanation:
Consider the coordinates of W and W'
W ( 1, - 2 ) and W'(- 9, 5 )
Consider the x- direction from W to W'
1 → - 9 = - 9 - 1 = - 10
Consider the y- direction from W to W'
- 2 → 5 = 5 - (- 2) = 5 + 2 = + 7
Thus the translation rule is
(x, y ) → ( x - 10, y + 7 )
Mia cycled 12 miles over two days.
She cycled 7 miles on one day.
How many miles did she cycle on the other day?
19 miles?
7 miles?
5 miles?
12 miles?
Which of the following represents a function?
EXPLAIN YOUR ANSWER if correct will mark brainiest
Step-by-step explanation:
[tex]x \geqslant - 5[/tex]
from the graph it's seen there's a dot on -5 so it's also considered
and since it considered -5 and greater.
[tex]x \geqslant - 5[/tex]
Roberto has a certain number of songs on his MP3 player.
Each week, he plans to add 4 more songs. After 5 weeks, he
had 40 songs on his MP3 player. Which statement is true?
A. Roberto adds 5 songs on his MP3 player per week.
B. Roberto adds 10 songs on his MP3 player per week.
C. The initial number of songs on Roberto’s MP3 player is 10.
D. The initial number of songs on Roberto’s MP3 player is 20.
a
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I’ve done this math I know I am right!
Find the measure of angle B
(9x+2) (5x-4)
Answer:
119
Step-by-step explanation:
[tex]due \: to \: Corresponding \: angles \\ (5x - 4) + (9x + 2) = 180 \\ 14x = 182 \\ x = 13 \\ \\ 9.13 + 2 = b \\ b = 119[/tex]
Answer:
In the given figure, we know that (angle B+angle C)=180°.
[tex](9x + 2) + (5x - 4) = 180 \\ 14x - 2 = 180 \\ 14x = 182 \\ \boxed{x = 13}[/tex]
Angle B = (9x+2) = (9×13+2) = (117+2) = 119°.
can someone please teach me how to find the value of x ?
Answer:
The value of x is approximately 13.58
Step-by-step explanation:
Translate the following words into an expression:
The quotient of "y" and 3
A. Y/3
B. 3/y
C. 3y
D. Y * 3
2(5-6f)= 34
I need to find the value of f pls help
Answer:
f=-2
Step-by-step explanation:
2(5-6f)= 34
(5-6f)= 34/2
5-6f= 17
-6f=17-5
-6f=12
f=12/-6
f=-2
Step-by-step explanation:
2(5-6f)= 34
(2*5)-(2*6f)=24
10-12f=34
-12f=34-10
-12f=24
-f=24/12
-f=2
f=-2
What is 9876÷448+892-24????
Answer:
99685/ 112
or
890 5/112
Step-by-step explanation:
can you please help me, I cannot find the answer I'm trying to do my homework so my teacher doesn't get mad at me
Answer:
the answer is 9
Step-by-step explanation:
hope i helped :)
Answer:
9
Step-by-step explanation:
3 times 3 is 9
Zared plays basketball on his high school team. One of the things he needs to practice is his free throws. On his first shot, there is a probability of 0.6 that he will make the basket. If he makes a basket, his confidence grows and the probability he makes the next shot increases by 0.05. If he misses the shot, the probability he makes the next one decreases by 0.05.
He takes 5 shots. What is the probability he makes at least 3 shots? (Hint: a tree diagram might be a helpful strategy)
Answer:
lol brainliest
Step-by-step explanation:
The probability that he makes at least 3 shots is P{E} = 0.15
What is a probability? Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
Given is that Zared plays basketball on his high school team. One of the things he needs to practice is his free throws. On his first shot, there is a probability of 0.6 that he will make the basket. If he makes a basket, his confidence grows and the probability he makes the next shot increases by 0.05. If he misses the shot, the probability he makes the next one decreases by 0.05.
If he takes 5 shots, than the probability that he makes at least 3 shots is-
P{E} = 5 x 0.05 - 2 x 0.05
P{E} = 0.25 - 0.1
P{E} = 0.15
Therefore, the probability that he makes at least 3 shots is P{E} = 0.15.
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Which example does NOT show the commutative property of addition?
a. 4 + x = x + 4
b. ab=ba
c. a + b = b + a
d. 3x + 4y = 4y +3x
sam counted his heart beats while resting his heart beat 220 times in 4 minutes Sam heart beat at the same rate for the 4min .complete the ratio of beats to min
Answer: 220:4 or 220 to 4
Step-by-step explanation:
Answer:220:4
Step-by-step explanation:
What is the value of a2 + 36 2c when a = 3, b = 8, and c = 2?
Answer: 21 +4c
Step-by-step explanation:
Answer:
what is in between 36 and 2c?