Answer
cos(θ) = –313√(13)
Step-by-step explanation:
There is a rule we are to establish first to get the answer right.
If the terminal side of an angle θ in standard position intersects a unit circle A(x, y), then cos(θ) = x and sin(θ) = y.
Therefore, given that the terminal side of angle θ goes through the point (−313√13,−213√13) on the unit circle:
cos(θ) = –313√(13)
In the sequence: 20, 25, 23, 28, 26, …, what number should come next?
a) 24
b) 31
c) 21
d) 28
Answer:
b) 31
Step-by-step explanation:
20 + 5 = 25
25 - 2 = 23
23 + 5 =28
28 - 2 = 26
pattern: add 5 then subtract 2
since we subtract last, we would add 5 on 26:
26 + 5 = 31
Answer:
31
Step-by-step explanation:
In the sequence they are adding 5 and taking away 2. So if they start with 20, they added 5 and took away 2, it was 23. Then they added 5 again and it was 28, they took away 2 and it was 26. If they add 5, the next number would be 31.
Hope it helped :)
The mapping diagram shows a relation. A mapping diagram shows a relation, using arrows, between inputs and outputs for the following ordered pairs: (negative 6, 0), (2, 1), (negative 7, negative 4), (11, 2), (3, 2). What is the domain of the relation? {x| x = –4 , 0, 1, 2}. {x| x = –7, –6, 2, 11, 3}. {y| y = –4, 0, 1, 2}. {y| y = –7, –6, 2, 11, 3}.
Answer:
b
Step-by-step explanation:
The domain is a set of input values so {x| x = –7, –6, 2, 11, 3} will be the domain of the relation therefore option (B) will be correct.
What is the range and domain of a function?A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
For example f(x) = x²
Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.
The domain is the set of all input values where the function is defined.
Since in the given relation ;
All input values have an output so all input values will be the domain of the given relation.
Hence "{x| x = –7, –6, 2, 11, 3} will be the domain of the relation".
For more details about the range and domain of the function,
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Andy buys a new car for $23,540. He estimates that the new car will decrease in value by about 5% each year. Which of the following functions best models this situation?
f(x)=23,540(1.05)xf of x is equal to 23 comma 540 times 1 point 0 5 to the x th power
f(x)=23,540(0.95)xf of x is equal to 23 comma 540 times 0 point 9 5 to the x th power
f(x)=−23,540(1.05)xf of x is equal to negative 23 comma 540 times 1 point 0 5 to the x th power
f(x)=−23,540(0.95)x
The function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.
What is function?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given that, Andy buys a new car for $23,540. He estimates that the new car will decrease in value by about 5% each year.
The depreciation rate =
A = P(1-r)ⁿ
Where, A = amount final
P = initial amount
r = rate and n = number of the years
Therefore,
The depreciation rate =
f(x) = 23540(1-0.05)ˣ
f(x) = 23540(0.95)ˣ
Hence, the function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.
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Kristin
spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost
$15. If she bought a total of 7 then how many of each kind did she
buy?
Derek's car has run out of gasoline. He walks 24 km west and then 10 km south looking for a gasoline station. If he is now h km directly from his starting point, find the value of h
Answer:
the value of h is √676km
Step-by-step explanation:
The computation of the value of h is shown below
Here we apply the Pythagoreus theorem
= 24^2 + 10^2
= 576 + 100
= √676
Hence, the value of h is √676km
We simply determine by using the Pythagoreus theorem
what two number multiply to make -36 as well as add to make 16
-12 x 3 = -36
-6 x 6 = 36
-8 x 2 = -16
-4 x 4 = -16
How do you graph it ?
Answer:
It should look like this
Step-by-step explanation:
hope it helps
Anyone know the answer to this ?
Answer:
no srry
Step-by-step explanation:
Find the value of 3p2 – 4p -5, if p= -3
Answer:
-11
Step-by-step explanation:
3 x (-3) x 2 - 4 x (-3) - 5
= -18 + 12 - 5
= -11
the hotog eating champion eats 27.5 hot dogs in 4 minutes. at that rate how many does he eat in the 10 min competition?
Answer:
68.8 hot dogs
Step-by-step explanation:
27.5 ÷ 4 = 6.875 per minute
6.875x10 = 68.75 hot dogs
Answer:
68.75 hotdogs
Step-by-step explanation:
lets say x = number of hotdogs
27.5/4 = x/10
use cross multiplication:
27.5 (10) = 4(x)
multiply
275 = 4x
divide both sides by 4 to isolate x
x = 68.75
Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the same rate for the cost of one hot dog, how many more hot dogs would winston need to sell to earn a total of 185.00?
2. Classify a triangle with the following side lengths 26, 12, and 18. *
1 point
Acute
Obtuse
Right
Answer:
Acute
Step-by-step explanation:
26^2 + 12^2 = 18^2
676 + 144 = 324
820 = 324
Since 324 is smaller, this triangle is acute
Please help me I will give brainlest if right
What is the complete factorization of the polynomial below?
x^2 + 4x^2 + 16x + 64
O A. (x-4)(x + 4i)(x + 4i)
B. (x + 4)(x + 4i)(x + 4i)
C. (x + 4)(x + 4i)(x-4i)
O D. (x-4)(x + 4i)(x-4i)
Given:
Consider the given polynomial is:
[tex]x^3+4x^2+16x+64[/tex]
To find:
The complete factorization of the given polynomial.
Solution:
We have,
[tex]x^3+4x^2+16x+64[/tex]
Using grouping method, we get
[tex]=(x^3+4x^2)+(16x+64)[/tex]
[tex]=x^2(x+4)+16(x+4)[/tex]
[tex]=(x+4)(x^2+16)[/tex]
[tex]=(x+4)(x+4i)(x-4i)[/tex] [tex][\because x^2+y^2=(x+iy)(x-iy)][/tex]
Therefore, the correct option is C.
Please help me with this i will give brainliest
Answer:
i think it's 10%
Step-by-step explanation:
Please help I'm begging you please ASAP ASAP please ASAP I need to finish in 20 min please ASAP please please help
Answer:
In the first rectangle,
one side =15*1=15
other side = 15* 3=45
in the second rectangle,
one side = 25*1=25
other side= 25*3=75
Step-by-step explanation:
20 Points!!!! PLEASE help!! Math!! Due soon!!
Answer:
the first one is true, the third one is true, the fourth one is true, the fifth one is true
Step-by-step explanation:
the second one is false
Trapezoid
Area= 1/2 (6+14)8
A=80
Now i know what the equals but i don’t know how to find the m2
Please help :)
bb
Step-by-step explanation:
honda is the lowest price on the market and the price of the following lines are not anybody else so expect to have a good time and be able to make a few things that are good
1. x+1 when x=10
2. 5y-8 when y=6
3. 6t-9m when t=5 and m=3
4. 62/2 when x=10
5. 5h3-3j2+20 when h=4 and j=5
Answer:
1
X is equal to 10
10 plus 1 equals 11
2
y is equal to 6
30 minus 8
is equal to 22
3
m equals 3 and t equals 5
30 minus 27
is equal to 3
4 not written properly
5 not written properly
1. How long does it take running at a rate of 12m/s over a distance of 360m?
Step-by-step explanation:
T=D/S
D=360m
S=12m/s
360m÷12m/s
Time=30s
how many minutes will it take for a plane altitude to change by -5,400 meters
Answer:
I believe it will be 5 minutes for it to reach that.
Can someone help me please
Answer:
B
Step-by-step explanation:
sohcahtoa
sin = opp/hyp
sin A = 16/20= 4/5
can you help with this Its due today.
Answer: x squared equals y
Step-by-step explanation:
A student simplified the expression (3x^2+2)-(2x^2+4) as x^2+^6 Explain what the student did incorrectly and state the correct answer.
Answer:
x^2 - 2
Step-by-step explanation:
The correct procedure would have been to distribute the negative to the +4 also, so you would have +2 - 4 = -2 so the final answer should have been
x^2 - 2
(3x²+2)-(2x²+4)
write in a different form, remove parentheses
3x²+2-2x²-4
calculate the value of the corresponding terms
x²-2
Answer: Yes, he made a mistake.
A simplified expression would look like this x²-2 and not like this x²+^6.
7x = 14 step by step
Answer:
x=2
Step-by-step explanation:
7x = 14
x = 14/7
x = 2
Answer:
2
Step-by-step explanation:
7x/7 = 14/7
x = 2
Part A - Find the area of the shaded region. Round to the nearest hundredth. Just write the number with no unit attached. * 11 cm / Tan ་ 12 cm
Answer
128.86
Step-by-step explanation:
The box is 11x12 so 132.
The circles area is 3.14, or
A = πr^2 = π·1^2 ≈ 3.14159
So 132-3.14 is 128.86
Complete the following table for f(x) = -2.4"
-2
-1
0
1
2
-2
[
Choose
- 1
Choose)
0
Choose!
1
Choose
2
Choose
Answer:
3
Step-by-step explanation:
5) Mario owns a plumbing business. He charges an hourly rate plus a onetime set up fee. His first job was 4 hours and he charged $450. His second job was 3 hours and he charged $675. If his set up fee is $150, how much does he charge per hour?
Answer:
Results are below.
Step-by-step explanation:
First, we need to calculate the variable income per job:
First job= 450 - 150= 300
Second job= 675 - 150= 525
Now, the hourly rate:
Hourly rate= total variable income / number of hours
First job= 300 / 4= $75
Second job= 525 / 3= $175
It is probably that the second job was 7 hours long. If not, he doesn't charge the same amount per hour
15 is 20% of what number? Enter your answer in the box.
Answer:
75
Step-by-step explanation:
During a sale, a store offered a 40% discount on a bed that originally sold for $840. After the sale, the discounted price of the bed was marked up by 40%. What was the price of the bed after the markup? Round to the nearest cent.
Answer:
$705.60
Explanation:
Discounted price:
$840 × (100% - 40%)
= $840 × 60%
= $840 ÷ 100 × 60
= $504
Markup:
$504 × (100% + 40%)
= $504 × 140%
= $504 ÷ 100 × 140
= $705.60
i hope this helps! :D
A scientist used a microscope to count the number of bacterial cells in a petri dish every hour. The graph shows the data collected.
Which function most accurately represents this data, where n is the number of bacteria and t is the time elapsed, in hours?
n = 2t
n = 2^t
n = t^2
n =