Answers
Related Questions
If sin(x)=0.3090 , what is the approximate value of csc(x)?
0.5559
1.3090
3.2362
10.4733
Answers
3.2362
ExplanationTo solve this, we are going to use the trig identity: [tex]csc(x)=\frac{1}{sin(x)}[/tex]
We know that our problem that [tex]sin(x)=0.3090[/tex], so let's replace the value in our identity:
[tex]csc(x)=\frac{1}{sin(x)}[/tex]
[tex]csc(x)=\frac{1}{0.3090}[/tex]
[tex]csc(x)=3.2362[/tex]
We can conclude that the approximate value of [tex]csc(x)[/tex] is 3.2362.
The approximate value of csc(x) is 3.2362
Trigonometric ratios:csc ∅ = 1 / sin ∅sec ∅ = 1 / cos ∅cot ∅ = 1 / tan ∅since sin x = 0.3090
Therefore,
1 / sin x = csc x
Then
csc x = 1 / 0.3090
csc x = 3.23624595469
csc x ≈ 3.2362
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Determine the range of: f(x) = 13 - 20x - x^2 -3x^4. Also, find the max. And min. Values and state where those values occur
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The range of the graph refers to the coverage of y-values of the curve. From the picture, we could see that it covers most of the negative y-axis. To know at which value, let's find the maxima. There is no minima for this graph as you can see because it extends downwards infinitely at both sides.
To find the maxima, differentitate f(x) with respect to x and equate to 0
f'(x) = 0 = -20-2x-12x^3=0
You can find the roots easily by using a scientific calculator using the mode EQN. For this equation, there are 2 complex root and 1 real root. Thus, x = -1.14. Substitute this to the original equation:
y = 13 - 20(-1.14) - (-1.14)^2 -3(-1.14)^4
y = 29.433
Thus, the maxima is at point (-1.14,29.433). It can't be seen clearly in the graph because of the close intervals.
Which property is illustrated in this problem?
33 + 0 = 33
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It states that the sum of any number and 0 is that number.
Solve:
y^6 (y^5)
plz i put eleven idk why se says it's wrong :c
Answers
The dot plot below shows the hourly rate of some babysitters in a city: A number line is shown from 1 dollar to 7 dollars in increments of 1 dollar for each tick mark. The horizontal axis label is Dollar per hour. There are 2 dots above 4 dollars, 3 dots above 5 dollars, 3 dots above 6 dollars, and 2 dots above 7 dollars. The title of the line plot is Babysitting Rates. Which statement best describes the shape of the data? It is symmetric and has no gaps. It is not symmetric and has a peak at $7.00. It is a cluster from $1.00 to $7.00 and has no gaps. It is a cluster from $1.00 to $7.00 and has a peak at $6.00.
Answers
Answer:
D
Step-by-step explanation:
it did this test
Write the equation of a linear function in point-slope form and slope-intercept form for a line that passes through point A(3,-7) and has an undefined slope.
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order the numbers from least to greatest. 3 29\40, 3 19\20, 3 1\2
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29/40= 0.725
19/20 = 0.95
1/2 = 0.50
least to greatest = 3 1/2 , 3 29/40 , 3 19/20
Five scouts took a white water rafting trip. The total cost of the trip was $721. Each person in the group received a student discount of $6. Write and solve an equation to find out how much each student paid before discount.
Answers
cost per student before discount = 721/5+6
721/5 = 144.20 +6 = 150.20
The table shows the number of students in a school who like tacos and/or pizza: Like Tacos Do Not Like Tacos Total Like Pizza 57 13 70 Do Not Like Pizza 12 15 27 Total 69 28 97 What is the relative frequency, by row, of students who like both tacos and pizza? 0.18 0.46 0.81 0.83
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The relative frequency of students who like both tacos and pizza is [tex] \frac{57}{70} [/tex] which as decimal is 0.81
Find the measure of angle AOE in the diagram below.
Help will be appreciated!
Answers
Answer:
We choose D
Step-by-step explanation:
Given that:
∠BOA = (3x -28) degrees ∠COD = (66 -x) degrees ∠BOC = 90 degreesAs we know that ∠BOA + ∠COD + ∠BOC= 180 degrees because AD is a straight line, so we have:
(3x -28) + (66-x) +90 = 180
<=> 2x = 52
<=> x = 26 degrees.
=> ∠BOA = 3*26 - 28 = 50 degrees
As we can see that, ∠BOA = ∠DOE (The properties of two straight lines intersect)
<=> ∠DOE = 50 degrees
Once again, the AD is a straight line, so we have:
∠DOE + ∠AOE = 180
<=> ∠AOE = 180 - ∠DOE
<=> ∠AOE = 180 - 50 = 130 degrees
We choose D
what's the Least common multiple for 2,6,8?
Answers
6= 2*3
8= 2*4
8= 2*2*2
The lcm of these three numbers equals 2*2*2*3*1. Notice how we only multiply 3 sets of 2. This is because 2 is a common factor between all 3 of the numbers.
2*2*2*3*1= 24
Final answer: 24
help someone plz
A student needs to make a rectangular cardboard piece that is 12 inches long. The area of the cardboard piece should be between 60 square inches to 300 square inches. The function f(w) relates the area of the cardboard, in square inches, to the width w in inches. Which of the following shows a reasonable domain for f(w)?
A: 2 ≤ w ≤ 5
B: 5 ≤ w ≤ 25
C: 25 ≤ w ≤ 60
D: 60 ≤ w ≤ 300
Answers
area = L x w
60 = 12 x w
w=60/12 = 5
300 = 12 x w
w = 300/12 = 25
so B is the correct answer
Answer:
Option B
[tex]5 \leq w \leq 25[/tex]
Step-by-step explanation:
Let
L------> the long of the cardboard piece
W-----> the width of the cardboard piece
The area of cardboard piece is equal to
[tex]A=L*W[/tex]
In this problem we have
[tex]L=12\ in[/tex]
so
[tex]A=12W[/tex]
[tex]f(W)=12W[/tex]------> equation A
[tex]f(W)\geq 60\ in^{2}[/tex] ------> inequality B
[tex]f(W)\leq 300\ in^{2}[/tex] ------> inequality C
Substitute equation A in the inequality B
[tex]12W\geq 60\ in^{2}[/tex]
[tex]W\geq 60/12[/tex]
[tex]W\geq 5\ in[/tex]
Substitute equation A in the inequality C
[tex]12W\leq 300\ in^{2}[/tex]
[tex]1W\leq 300/12[/tex]
[tex]1W\leq 25\ in[/tex]
The domain for the function f(W) is equal to the interval------> [tex][5,25][/tex]
factors of 212 like finding a common factor its really hard because the number is so high please please HELP ME!!!!!!!
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Answer:
1.2..17.5
Step-by-step explanation:
i had been singing for the operpopitay
How many times will 1/5 go into 37
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1/5 will go into 37 185 times.
you need 5 1/5ths to make a whole, because in 5/5, there are 5 1/5ths. 5*37=185
Therefore, 5 goes into 37 185 times
hope this helps:))
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What is X/60=700 ?
Plz help it's due tomorrow
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Ralph sold brownies for $0.27 a piece in order to earn money to buy baseball cards. If the cards cost $0.54 per pack, and if Ralph had no money left over after buying them, what is the least number of brownies he must have sold?
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A woman bought a dress at a discount of 16 2/3. If the woman paid 32.50, what was the original price of the dress
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= 32.50 + 16 2/3
= 32.50 + 50/3
convert to one form of fractions (improper or decimal)
= 49 1/6
= 49.16
--------------------------------------
In case of 16 2/3 % discount of the original price:
price after discount = price before discount - discount
= x - 16 2/3 % of x
= x - 01667x
= 0.833 x
32.5 = 0.833 x
then x = 32.5/0.833 = 39.015 =~ 39
hope that helps
if angle ABC measured 90, what is the measure of arc AC
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hope this helps:)
please mark thanks and brainliest:)
The measure of arc arc [tex]AC[/tex] will be [tex]90^0[/tex] .
What is arc ?Arc is the part or segment of the circumference of a circle which is drawn between two points and an angle. And length of arc is known as arc length.
i.e. Arc length [tex](L)=\frac{\theta}{r}[/tex]
And "The measure of an arc is equal to the measure of the central angle that intercepts it".
We have,
[tex]\theta = 90^0[/tex]
So,
From the above mentioned statement i.e.,
"The measure of an arc is equal to the measure of the central angle that intercepts it".
We can say that,
The measure of arc [tex]AC=90^0[/tex]
Hence, we can say that the measure of arc arc [tex]AC[/tex] is [tex]90^0[/tex].
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Ryan is looking for the sum of the cube of a number, n, and 16.
What is the sum Ryan is looking for if n = 2?
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What is the next term in the sequence below?
-321,108,-36,12,.....
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a(n)=ar^(n-1), in this case a=-324 and r=-1/3 so
a(n)=-324(-1/3)^(n-1) so the 5th term will be
a(5)=-324(-1/3)^4
a(5)=-324/81
a(5)= -4
The next term for the given series will be equal to a(5) = -4.
What is geometric progression?When there is a constant between the two successive numbers in the series then it is called a geometric series.
This is a geometric sequence with a common ratio of -1/3 and an initial term of -324. Any geometric sequence can be expressed as:
a(n) = [tex]ar^{n-1}[/tex], in this case a=-324 and r=-1/3 so
a(n) = -324(-1/3)[tex].^{n-1}[/tex] so the 5th term will be
a(5) = -324(-1/3)⁴
a(5) = -324/81
a(5) = -4
Therefore the next term for the given series will be equal to a(5) = -4.
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Answer this please image below
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A histogram never provides information regarding how many for an exact number. A histogram measures frequency by looking at and comparing several ranges.
The last answer includes information that can't be drawn from the histogram.
It ask for a specific number of bottles when the histogram utilizes a range to sort the amount of bottles collected.
Hope this helps!
A baseball was pitched at a speed of 75.2 miles per hour. a tennis ball was served at a speed 1.5 times faster than this. how much faster was the speed of the tennis ball than the speed of the baseball?
Answers
112.8+75.2=188
188-75.2=112.8
Answer:
75.2*1.5=112.8
112.8+75.2=188
188-75.2=112.8
Eight states in the united states start with the letter M. What fractions of states in simplest form,begins with the leter M?
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fraction of states beginning with M = 8/50 reduces to 4/25 <==
Find the height of a triangle with an area (A) of 35 square inches and base (b) of 7 inches. Use the formula for the area of a triangle, A=1/2bh
Answers
2A=bh
h=2A/b, we are given that A=35 in^2 and b=7 in
h=2(35)/7
h=10 in
Height of the triangle is 10 inches
What is Triangle ?A triangle is a polygon with three edges and three vertices.
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface.
Given,
Area of the triangle = 35 square inches
Base of the triangle = 7 inches
Area of the triangle = [tex]\frac{1}{2}bh[/tex]
where,
b is the base length and h is the height
Substitute the values in the equation
[tex]35=\frac{1}{2}(7)(h)\\ 35=3.5h\\h=\frac{35}{3.5}[/tex]
Height h = 10 inches
Hence, the height of the triangle is 10 inches
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Daisy works at an ice-cream parlor. She is paid $10 per hour for the first 8 hours. She works for x hours in a day and x is greater than 8, the expression giving her net earnings for the day is
A. x(80+1.5)
B. (x-8)1.5
C. 80+15 (x-8)
D. (8)(15)(x-8)
Answers
With that this is the solution step by step:
1) Number of hours worked: x
2) Rate for the first 8 hours: $10 per hour
2) Pay for the first 8 hours = $10 * 8 = $80
3) Number of hours worked over 8 hours = x - 8
4) Rate for the hours worked over 8: 1.5 times $10 per hour = $15 per hour
5) Pay for the hours worked over 8 = $15 (x - 8) = 15 (x - 8)
6) Total pay = 80 + 15 (x - 8)
That is the option C.
Answer: option C. 80 + 15(x - 8)
the answer is option C
find the area of the circle with diameter of 11mm leaving answer in terms of pi
Answers
r=d/2=11/2=5.5
area=π*30.25=30.25π
Which of the following volumes represent a perfect cube? CHECK ALL THAT APPLY.
A. 1 in.3
B. 4 in.3
C. 8 in.3
D. 12 in.3
E. 25 in.3
F. 27 in.3
G. 64 in.3
Answers
Answer: A C F G
Step-by-step explanation:
The volumes that represent perfect cubes are A ) 1 inch³, C) 8 inch³, F) 27 inch³ and G) 64 inch³.
What is meant by Perfect Cubes?Perfect cubes are defined as the number which is the result of the multiplication of another number, likely integers, to itself three times.
For example, 8 = 2 × 2 × 2
So 8 is a perfect cube of 2.
Given are a set of volumes in cubes.
A ) 1 inch³ can be written as 1 inch × 1 inch × 1 inch
So it is a perfect cube.
B) 4 inch³ cannot be written as the product of a number thrice.
So not a perfect cube.
C) 8 inch³ = 2 inch × 2 inch × 2 inch
Perfect cube
D) 12 inch³ not a perfect cube.
E) 25 inch³ not a perfect cube
F) 27 inch³ = 3 inch × 3 inch × 3 inch
Perfect cube
G) 64 inch³ = 4 inch × 4 inch × 4 inch
Perfect cube
Hence the perfect cubes are found.
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Answers
A motorboat
travels 222 km in 6 hours going upstream.
Rate = distance/time = 222/6 = 37 km/hr
----------------------
It travels 390 km going downstream in the same amount of time.
Rate = distance/time = 390/6 = 65 km/hr
---------
What is the rate of the boat in still water and what is the rate of the
current?
Equations:
Upstream: b-c = 37 km/hr
Downstrm: b+c = 65 km/hr
Add and solve
for "b":
(2)b = 102 km/hr
b = 51 km/hr (speed of the boat in still water)
-----
Solve for "c":
b+c = 65
51 + c = 65
c = 14 km/hr (speed of the current)
Jennifer can clean her room in 2 hours, while John can clean the same room in 5 hours. How many hours would it take for them to clean the room together?
7
10
seven tenths
ten sevenths
I think the answer is tenth sevenths but im not sure! Please Help ASAP
Answers
Answer: ten sevenths
Step-by-step explanation:
Given: Time taken by Jennifer to clean her room [tex]t_1= 2 \text[ hours}[/tex]
Time taken by John to clean same room [tex]t_2= 5\text[ hours}[/tex]
If they work together to clean the room , then the total time taken by them is given by :-
[tex]\dfrac{1}{t}=\dfrac{1}{t_1}+\dfrac{1}{t_2}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{2}+\dfrac{1}{5}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{5+2}{10}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{7}{10}\\\\\Rightarrow\ t=\dfrac{10}{7}\text{ hours}[/tex]
A peregrine falcon can fly 332 kilometers per hour. How many meters per hour can the falcon fly?
Answers
332 x 1000 = 332,000
A peregrine falcon can fly 332,000 meters per hour. Hope this helps!
~Ash