The value on the interval [0, 2π) where f(θ) = g(θ) is 3π/2.
To find the value(s) on the interval [0, 2π) where f(θ) = g(θ), we need to set the two functions equal to each other and solve for θ.
Setting f(θ) = g(θ), we have:
4sin(θ) + 3 = cos(2θ)
Now, we can solve this equation. Let's break it down step by step:
Rewrite cos(2θ) using the double-angle identity: cos(2θ) = 1 - 2sin^2(θ)
The equation becomes: 4sin(θ) + 3 = 1 - 2sin^2(θ)
Rearrange the equation:
2sin^2(θ) + 4sin(θ) + 2 = 0
Divide the entire equation by 2:
sin^2(θ) + 2sin(θ) + 1 = 0
Factorize the equation:
(sin(θ) + 1)^2 = 0
Solve for sin(θ):
sin(θ) = -1
The value of sin(θ) is -1 at θ = 3π/2.
As a result, 3π/2 is the value on the interval [0, 2π) where f(θ) = g(θ).
for such more question on interval
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Mr. Jamison bought a toaster oven that was originally priced at
$89. He received a 20% discount. What is the sale price of the
toaster oven?
please help
Answer: $71.20
Step-by-step explanation: 20% discount means 20% of the original price is subtracted from the original price, so to find 20% of the original price multiply 89 by 0.2 and you will get 17.8. Subtract the 17.8 from 89 and you get the answer, $71.20!
Seth needs to buy mulch to cover a circular garden. The garden has a radius of 5ft. Mulch costs $0.25 per square foot. How much will it cost Seth to cover his garden in mulch?
Answer:
?????
Step-by-step explanation:
12x 0.25=? ?x 5= $?
Please calculate the probability using the following equations (in document)
Substitute u = t ³/2592 and du = t ²/864 dt. Then
[tex]P(T)=1-\displaystyle\int_0^T f(t)\,\mathrm dt=1-\displaystyle864\left(1.1574\times10^{-3}\right)\int_0^{\frac{T^3}{2592}}e^{-u}\,\mathrm du[/tex]
The probability that a 12 hour surgery is successful is P (12), so letting T = 12 gives
[tex]P(12)\approx1-\displaystyle\int_0^{\frac23}e^{-u}\,\mathrm du\approx e^{-\frac23} \approx \boxed{0.5134}[/tex]
Find the Volume of the prism. All sides of a square box is 7/10 in.
Answer:
yyyuu,gsfehwgegrbarhqhyekejtwhhtthtanafgegrajtsjttjrhrhrjarhahrhehrhrrnrjehehehehthsqrsjsyksthggejejsgrh,,kerhatstnwtkekehaahwjjyykjm.hteerylektkh#h#h#jrj
square root 3 minus X Minus x squared is equals to x - 2
Step-by-step explanation:
I hope it helps I was just trying. if I'm wrong you can tell me I I will ask the people who are around me. wish you all the best.
Can anyone help me with my homework
Answer:
The answers are as follows:
Step-by-step explanation:
A --> (-1,0) , x-axis
B --> (2,-3) , Q IV
C --> (4,2) , Q I
D --> (-1,5) , Q II
E --> (-3,-4) , Q III
both pictures go together
The probabilities of the events are P(A) = 4/7. P(B) = 1/2, P(A and B) = 1/7, P(A | B) = 2/7 and P(B) * P(A | B) = 1/7
The probability that equals P(A and B) is P(B) * P(A | B)
How to calculate the probabilities of the eventsFrom the question, we have the following parameters that can be used in our computation:
The Venn diagram
Where, we have
A = 8
B = 7
A and B = 2
Neither = 1
Total = 14
So, we have
P(A) = 8/14 = 4/7
P(B) = 7/14 = 1/2
P(A and B) = 2/14 = 1/7
P(A | B) = (1/7)/(1/2) = 2/7
P(B) * P(A | B) = 1/2 * 2/7 = 1/7
How to calculate the probability that equals P(A and B)In (a), we have
P(A and B) = 1/7
Also, we have
P(B) * P(A | B) = 1/7
This means that the probability that equals P(A and B) is P(B) * P(A | B)
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Which of the following grids does the
shaded portion represent 10% of the grid?
Answer:
C
Step-by-step explanation:
Since the area all of the grids are 100 (10X10), in order for the shaded portion to be 10% of that it would have to be 10 of the squares. (10% = 10/100) Therefore because the one with 10 squares shaded is C, the answer is C!
Answer:
meow meow ............
.......
Two of the angles in a triangle measure 90 degrees and 7 degrees what is the measure of the third angle
Answer:
The third angle would be 83 degrees.
Step-by-step explanation:
Seeing that every triangle's angles will always add up to 180 degrees, we would do the following:
180-90=90
90-7=83 degrees.
help with math thanks so much!!!!
Answer:
The answer is 7
THE TOPIC IS FIND THE CIRCUMFERENCE OF EACH CIRCLE!! 5 AND 8!! .. Help pls this is my first question on here and I need help with this pls. I will give you the brainliest and a thanks!! :)) can u do all three of these? Pls thanks!!!! :))
Answer:
Circle 1: 37.68 ft
Circle 2: 28.26 cm
Question
Use the Quotient Rule of Logarithms to write an expanded expression equivalent to ln(2/7).Make sure to use parenthesis
around your logarithm functions log(x + y).
Provide your answer below:
Answer:
ln(2) - ln(7)
Step-by-step explanation:
Logarithmic expressions are represented using ln or log keywords
The expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]
The expression is given as:
[tex]\mathbf{ln(2/7)}[/tex]
The quotient rule of logarithm states that:
[tex]\mathbf{ln(a/b) = ln(a) - ln(b)}[/tex]
So, by comparison:
a = 2, and b = 7
So, we have:
[tex]\mathbf{ln(2/7) = ln(2) - ln(7)}[/tex]
Hence, the expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]
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he response times for a random sample of 40 medical emergencies were tabulated. The sample mean is 13.25 minutes. The population standard deviation is believed to be 3.2 minutes. The EMS director wants to perform a hypothesis test, with a .05 level of significance, to determine whether the service goal of 12 minutes or less is being achieved.
Answer:
The calculated value Z = 2.5 > 1.96 at 0.05 level of significance
The null hypothesis is rejected
The Alternative hypothesis is rejected
The EMS director wants to service goal of 12 minutes or less is being achieved
Step-by-step explanation:
Step(i):-
Given that the size of the random sample = 40
Given that the mean of the sample (x ⁻) = 13.25
Given that the standard deviation of the Population = 3.2 minutes
Level of significance = 0.05
The mean of the Population (μ) = 12
Step(ii):-
Null hypothesis:-H₀: (μ) = 12
Alternative Hypothesis: H₁ : μ < 12
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{13.25-12 }{\frac{3.2}{\sqrt{40} } }[/tex]
Z = 2.5
The tabulated value Z₀.₀₅ = 1.96
The calculated value Z = 2.5 > 1.96 at 0.05 level of significance
The null hypothesis is rejected
The Alternative hypothesis is rejected
Final answer:-
The EMS director wants to service goal of 12 minutes or less is being achieved
convert 23cm in the inches(round off to the nearest inch)
Answer:
9.055
Step-by-step explanation:
Is 8/10 greater than 63/100
Answer:
8/10 is greater than 63/100, it is grater because when u change them into a percentage 8/10 is higher
Step-by-step explanation:
Answer:
true :D
8/10 = 80/100 which is greater than 63/100
6. Determine the measures of the unknown angles in the figure.
73°
2°
26
75°
what does any order grouping mean when adding expressions
Which properties are used?
Answer:
To evaluate a variable expression means to find the value of the expression for given values of the variables. To evaluate, substitute the given values for the variables in the expression and simplify using the order of operations (PEMDAS)
ruby has 202 minutes left on her cell phone plan for the next 5 days. is it possible for ruby to use the same number of whole minutes each day? explain.
Answer:
no, 202 is not evenly divisible by 5
Step-by-step explanation:
What is 6 7/13 divided by 5
Answer:
17/13
Step-by-step explanation:
Answer:
[tex]\frac{17}{13}[/tex] or 1 [tex]\frac{4}{13}[/tex]
Step-by-step explanation:
There are 10 cars to wash at the school
fundraiser.
- How many orders can be created if you wash
7 of them?
- How many orders can be created if you wash
all of them?
Answer:21
Step-by-step explanation:simple
Answer:
2 orders if you wash 7.
1 order if you was all of them.
Help I really need this answer 5,000 mL =
Answer:
5L
Step-by-step explanation:
[tex]\frac{5000mL}{1}*\frac{1L}{1000mL} = 5L[/tex]
Answer:
5L
Step-by-step explanation:
If you are trying to find out how many liters there are in 5000 milliliters then it is 5
A four-sided backyard is in the shape of a parallelogram and has two adjacent sides both with lengths of 30 feet. Which of the following must be true about the shape of the backyard?
Answer:
The question is uncomplete.
Step-by-step explanation:
Sorry but after you said
"which of the following must be true about the shape of the backyard." you didn't list possibilities after that. sorry
The statement that is true about the shape of the backyard is that: it is a rhombus.
What is a Rhombus?A rhombus is a quadrilateral whose adjacent sides have equal lengths, that is, they are congruent.
Thus, since the four-sdied backyard is in the shape of a parallelogram and also has two adjacent sides that are congruent (30 ft each), then it is a rhombus.
Therefore, the statement that is true about the shape of the backyard is that: it is a rhombus.
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unit 7 lessen 12 cool down 12.5 octagonal box a box is shaped like an octagonal prism here is what the basee of the prism looks like
for each question, make sure to include the unit with your answers and explain or show your reasoning
To construct an octagonal box, you will need to cut eight rectangular pieces of equal size and eight regular octagons with equal sides. After cutting the pieces, fold them in a way that forms the octagonal box.
In an octagonal box shaped like an octagonal prism, the base is an octagon. Since the question does not provide specific measurements or angles for the octagon, we will assume that all the sides and angles of the octagon are equal. Let's denote the length of each side of the octagon as "s."
Area of the octagon = 2(1 + √2) * s^2
Where s is the length of each side.
An octagonal box is a type of prism that has eight equal sides and is shaped like a polygon. It has 8 vertices, 12 edges, and 6 faces.
The top and bottom faces are regular octagons, while the remaining faces are rectangles that connect the sides of the octagons.
Octagonal boxes can be used for various purposes, including storage, decoration, and shipping.
They are durable and can protect the contents inside from damage. In unit 7 lesson 12 cool down 12.5, you might be required to construct an octagonal box.
To learn more about : rectangular
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6х2 + 5х – 6
O (2x + 3)(3x - 2)
O (6x +1)(x - 6)
O (2x - 2)(3x + 3)
O (2x - 3)(3x + 2)
Answer15 y-int. (sety=0) 5%-15 (set x=0) x=3. 13,0).
Step-by-step explanation:
A spinner has 3 equal sections labeled X, Y, and Z. Jinghua spins this spinner twice. Which represents all the possible outcomes for Jinghua?
Select one:
XY, XZ, YX, YZ, ZX, ZY
XX, XY, XZ, YX, YY, YZ, ZX, ZY, ZZ
X, Y, Z
XX, YY, ZZ
acually anwser or i'll report u
Answer:
XX, YY, ZZ
Step-by-step explanation:
How much are your fixed expenses for the month?
Monthly Expenses
Mortgage
$897.00/month
Clothing
$96.00/month
Food-restaurants
$56.00/week
Telephone
$33.95/month
A. $1,082.95
B. $1,250.95
OC. $1,154.95
Answer:
The correct answer is B. $1,250.95.
Step-by-step explanation:
Given that I have monthly mortgage expenses for $ 897.00 / month, clothing for $ 96.00 / month, food and restaurants for $ 56.00 / week, and telephone for $ 33.95 / month, to determine how much are my fixed expenses for the month, the following calculation must be performed:
897 + 96 + (56 x 4) + 33.95 = X
897 + 96 + 224 + 33.95 = X
1,250.95 = X
So, my fixed expenses for the month are $ 1,250.95.
Answer:
$930.95
Step-by-step explanation:
just took the test
What percent of the rectangle above is
shaded?
which fraction is the least 2/4, 5/10, 2/5, 3/4
Answer:
2/5 or the third one
Step-by-step explanation:
The first two are 1/2 after they are simplified and the second two are just below or just above one half, the last one is above and the third one is below.
Answer:
2/5
Step-by-step explanation:
Convert all fractions to have a common denominator
4, 10, and 5 can all be multiplied to equal 20
As a result, we will use 20 for the common denominator
What multiplied by 4 equals 20? 5 × 4 = 20
What multiplied by 10 equals 20? 2 × 10 = 20
What multiplied by 5 equals 20? 4 × 5 = 20
If we multiply this to the denominator, we must also multiply the same number to the numerator
Starting from left to right:
2 × 5 / 4 × 5 = 10/20
5 × 2 / 10 × 2 = 10/20
2 × 4 / 5 × 4 = 8/20
3 × 5 / 4 × 5 = 15/20
Compare: 10/20, 10/20, 8/20, 15/20
Which fraction has the smallest numerator?
8/20 as 8 is less than 15 and 10
Which fraction was 8/20? Check back to our work.
8/20 = 2/5
2/5 is the least
PA = 0.5 PB = 0.3 and p A and b equals 0.15 what is p A or b
Answer:
P(A) = 0.2, P(B) = 0.5, P(A\B) = 0.3:
P(A\B) = P(A and B) P(B)
0.3 = P(A and B) 0.5
0.15 P(A and B)
P(A and B) = 0.15
B. P(A or B) = P(A) + P(B) - P(A and B)
0.2 + 0.5 - 0.15
0.70 - 0.15 = 0.55
The inverse of x→y is:
Answer:
This is invertible
Step-by-step explanation:
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