y = csc(x) and y = sec(x)
==========================================================
Explanation:
The term "zeroes" in this case is the same as "roots" and "x intercepts". Any root is of the form (k, 0), where k is some real number. A root always occurs when y = 0.
Use GeoGebra, Desmos, or any graphing tool you prefer. If you graphed y = cos(x), you'll see that the curve crosses the x axis infinitely many times. Therefore, it has infinitely many roots. We can cross choice A off the list.
The same applies to...
y = cot(x)y = sin(x)y = tan(x)So we can rule out choices B, E and F.
Only choice C and D have graphs that do not have any x intercepts at all.
------------
If you're curious why csc doesn't have any roots, consider the fact that
csc(x) = 1/sin(x)
and ask yourself "when is that fraction equal to zero?". The answer is "never" because the numerator is always 1, and the denominator cannot be zero. If the denominator were zero, then we'd have a division by zero error. So that's why csc(x) can't ever be zero. The same applies to sec(x) as well.
sec(x) = 1/cos(x)
Math grade 9, can anyone solve it
Answer:
a) Acceleration = 2.4 m per seconds²
b) Distance traveled = 132 m
Step-by-step explanation:
a). Acceleration of an object is defined by the equation,
v = u + at
Here, v = Final speed
u = Initial speed
a = Acceleration
t = Duration Or time
From the graph attached,
Between t = 0 and t = 5 seconds,
v = 12 meter per second
u = 0
t = 5 seconds
B substituting values in the equation,
12 = 0 + a(5)
a = [tex]\frac{12}{5}[/tex]
a = 2.4 m per seconds²
b). Equation representing distance traveled by an object,
v² = u² + 2as
Here, v = Final speed
u = Initial speed
a = Acceleration
s = Distance traveled
By substituting these values in the given equation,
1). Between t = 0 to t = 5 seconds,
(12)² = 0 + 2(2.4)s
s = [tex]\frac{144}{4.8}[/tex]
s = 30 m
2). Between t = 5 to t = 12 sec
Car moved with a constant speed (Acceleration = 0)
Distance traveled = Speed × Time
= 12 × 7
= 84 m
3). Acceleration of the car between t = 12 sec to t = 15 sec
By substituting the values in the equation,
v = u - at
0 = 12 - a(3)
a = 4 meter per seconds²
Distance traveled in this duration,
v² = u² - 2as
0 = (12)² - 2(4)s
144 = 8s
s = [tex]\frac{144}{8}[/tex]
s = 18 m
Therefore, total distance covered by the car = 30 + 84 + 18
= 132 meters
witch sides are perpendicular??
Answer:
B
Step-by-step explanation:
40 points! Determine the area of the figure below round to the nearest hundredth
Answer: 60 + 13 sqrt 10
the top part adds up to 10 and the bottom part is 13
so you get a 7-3-2 sqrt 10 triangle to the left
the area of that is 3 sqrt 10
the area of the leftmost rectangle is 5 * 2sqrt 10 which is 10 sqrt 10
the area of the big vertical rectangle is 5*12 which is 60
so you add them up
60 + 13 sqrt 10
Need help ASAP. Don’t understand how to do this
Answer:
0.088
Step-by-step explanation:
Given two cylinders
Volume of one = 64cm^3
Volume of the other = 729cm^2
Scale factor = Volume of the small/Volume of the large
Scale factor = 64:729
Scale factor = 0.087
Choose an appropriate data display for the situation. Write the CAPITAL letter of your choice.
No repeats.
A. bar graph
_5.) the profits of a company over a year
B.circle graph
C. scatter plot
_6.) a person's income based on age
D. line graph
E. pictograph
7.) percent of student athletes in each sport
8.) the numbers and types of different species of fish at an aquarium
Answer:
LINE GRAPH : the profits of a company over a year
SCATTER PLOT : a person's income based on age
CIRCLE GRAPH : percent of student athletes in each sport
BAR GRAPH: the numbers and types ofdifferent species of fish at an aquarium
Step-by-step explanation:
The scatter plot are useful when trying to create a graphical relationship between two measured variables, like the camparison or relationship between age and income.
Line graph is used to monitor changes in a certain variable over time. Observing the fluctuation or variation in income over a certain period.
The circle graph represents the segmentation of a whole into groups or categories with each segment representing a proportion or percentage of the whole.
The bar graph also useful for categorization using vertical bars.
A collection of 30 gems, all of which are identical in appearance, are supposedto be genuine diamonds, but actually contain 8 worthless stones. The genuine diamonds arevalued at $1200 each. Two gems are selected.
(a) Let X denote the total actual value of the gems selected. Find the probability distribution function for X.
(b) Find E(X).
Answer:
Step-by-step explanation:
From the given information:
There are 30 collections of gems, of which 8 are worthless;
Thus, the number of the genuine diamonds = 30 - 8 = 22.
Let X = random variable;
X consider the value as 0 (for 2 worthless stone selection),
X = 1200(1 worthless stone & 1 genuine stone)
X = 2400 (2 genuine stones selected)
However, the numbers of ways of selecting and chosen Gems can be estimated as:
[tex](^n_r) = (^{30}_2) \\ \\ \implies \dfrac{30!}{2!(30-2)!} \\ \\ \implies \dfrac{30!}{2!(28)!} \\ \\ \implies \dfrac{30*29*28!}{2!(28)!} \\ \\ \implies \dfrac{30*29}{2*1} \\ \\ \implies 435[/tex]
Thus;
[tex]Pr (X = 0) = \dfrac{(^8_2)}{435}[/tex]
[tex]Pr (X = 0) = \dfrac{\dfrac{8!}{2!(8-2)!}}{435} \\ \\ Pr (X = 0) = \dfrac{\dfrac{8!}{2!(6)!}}{435} \\ \\ Pr (X = 0) = \dfrac{\dfrac{8*7*6!}{2!(6)!}}{435} \\ \\ Pr (X = 0) = \dfrac{\dfrac{8*7}{2*1}}{435} \\ \\ Pr (X = 0) = 0.0644[/tex]
[tex]P(X =1200) = \dfrac{(^{8}_{1})(^{22}_{1})}{435}[/tex]
[tex]P(X =1200) = \dfrac{ \dfrac{8!}{1!(8-1)!}) ( \dfrac{22!}{1!(22-1)!}) }{435}[/tex]
[tex]P(X =1200) = \dfrac{ (8) ( 22) }{435}[/tex]
[tex]P(X =1200) =0.4046[/tex]
[tex]Pr (X = 2400) = \dfrac{(^{22}_2)}{435}[/tex]
[tex]Pr (X = 2400) = \dfrac{\dfrac{22!}{2!(22-2)!}}{435} \\ \\ Pr (X = 2400) = \dfrac{\dfrac{22!}{2!(20)!}}{435} \\ \\ Pr (X = 2400) = \dfrac{\dfrac{22*21*20!}{2!(20)!}}{435} \\ \\ Pr (X =2400) = \dfrac{\dfrac{22*21}{2*1}}{435} \\ \\ Pr (X = 2400) = 0.5310[/tex]
To find E(X):
E(X) = (0 × 0.0644) + (1200 × 0.4046) + (2400 × 0.5310)
E(X) = 0 + 485.52 + 1274.4
E(X) = 1759.92
Plz help me well mark brainliest!..
9514 1404 393
Answer:
(a) (-3/4, 1/2)
Step-by-step explanation:
There are 4 grid lines between 0 and 1 in each direction, so each grid line represents 1/4 unit. Two of them is 1/2 unit; 3 of them is 3/4 unit. The x-dimension is listed first in the ordered pair.
Point S has coordinates (-3/4, 1/2).
3350 5654 10.. can anyone guess the last two numbers?
What ratio/s are equivalent to the following ratio: 6:8
a 3:4 b 12:16. с 18:24 d 30:40
Answer:
a. 3/4
Step-by-step explanation:
6:8
=6/8
=3/4
Hope it Helps
a triangles angles measures 87 degrees 32 degrees and 61 degrees. What type of triangle is this?
Answer:
Scalene
Step-by-step explanation:
Answer: Acute scalene triangle
A triangle with uneven degrees on all sides is known as a scalene triangle. Since none of the degrees are above 90, this triangle can also be described as acute.
find the area. the figure is not drawn to scale.
Answer:
131.5
Step-by-step explanation:
To find the area of the rectangle, we multiply the base and the height.
In this case, the base is 8 and the height is 13 I think. ( Your picture cuts it off very poorly)
8 x 13 = 104
Now, we need to find the area of the triangle. It is the same equation as the rectangle but we divide the result by 2.
11 * 5 = 55
55/2 = 27.5
27.5 + 104 = 131.5
If it's wrong, it's probably because of the picture. I can't tell what the height is of the rectangle, because it's certainly not 3.
Indra completed 85% of a Multiple Choice Test in Science. She has 3
questions to complete.
(a) How many questions are there in the test?
Answer:
20 questions
Step-by-step explanation:
There is 15% of the test left and 3 questions
15/3 = 5
85/5 = 17
17+ 3 = 20
For which shape is 180 degrees the smallest angle of rational symmetry?
5 gal- 1 qt = _____ gal ______ qt
What coordinates will remain the same? What coordinates will change to the opposite between the pre-- and post-image?
Answer:
Y values will stay the same
Step-by-step explanation:
Reflecting over the Y axis will alter the distance left and right but not up and down. so only Y remains unchanged
The height above the ground of a passenger on a Ferris wheel t minutes after the ride begins is modeled by the differentiable function H, where H(t) is measured in meters. Which of the following is an interpretation of the statement H'(7.5) = 15.708?
(A) The Ferris wheel is turning at a rate of 15,708 meters per minute when the passenger is 7.5 meters above the ground.
(B) The Ferris wheel is turning at a rate of 15.708 meters per minute 7.5 minutes after the ride begins.
(C) The passenger's height above the ground is increasing by 15.708 meters per minute when the passenger is 7.5 meters above the ground.
(D) The passenger's height aloe the ground is increasing by 15.708 meters per minute 7.5 minutes after the ride begins.
(E) The passenger is 15.708 meters above the ground 7.5 minutes after the ride begins.
Answer:
(D) The passenger's height aloe the ground is increasing by 15.708 meters per minute 7.5 minutes after the ride begins.
Step-by-step explanation:
Here, H(t) is the height after the t minutes of time.
Given :
H'(7.5) = 15.708 meters / minute
H'(t) = [tex]$\frac{d(H(t))}{dt}$[/tex]
= rate of change of the height
So, here, H'(t) = rate of change of height
Therefore, H'(7.5) = 15.708 meters / minute
It shows that the passenger's height is increasing at rate 15.708 meters per minute at time t = 7.5 minutes after the ride begins.
help what's 1x1+9x20
Answer:
The answer is 181
Step-by-step explanation:
PEDMAS
1 x 1 + 9 x 20
1 x 1 = 1
1 + 9 x 20
9 x 20= 180
1+180
which equals 181
Answer:
181
Step-by-step explanation:1x1=1 9x20=180+1=181
Thats your answer my fellow brains
HELP! can anyone help? I’m pretty stuck and the answer isn’t 2,700.. I’ll give Brainly please :(
I need help for my hw asap!! Help pls!!! Thank you
Answer:
1. S.A. = 4350 cm²
2. S.A. = 864 cm²
3. S.A. = 240 cm²
4. S.A. = 224 m²
5. S.A. = 301.6 in.²
6. S.A. = 6,082.1 cm²
7. S.A. = 923.6 in.²
Step-by-step explanation:
1. Surface area of the rectangular prism = 2(LW + LH + WH)
L = 45 cm
W = 25 cm
H = 15 cm
S.A. = 2(45*25 + 45*15 + 25*15)
S.A. = 4350 m²
2. Surface area of the cube = 6a²
a = 12 cm
S.A. = 6(12²)
S.A. = 864 cm²
3. Surface area of triangular prism = bh + (s1 + s2 + s3)*H
b = 4 cm
h = 6 cm
s1 = 4 cm
s2 = 7 cm
s3 = 7 cm
H = 12 cm
Plug in the values
S.A. = 4*6 + (4 + 7 + 7)*12
S.A. = 24 + (18)*12
S.A. = 24 + 216
S.A. = 240 cm²
4. Surface area of the square based pyramid = area of the square base + 4(area of 1 triangular face)
S.A. = (8*8) + 4[(8*10)/2]
S.A. = 64 + 4(40)
S.A. = 64 + 160
S.A. = 224 cm²
5. Surface area of the cone = πrl + πr²
r = 6 in.
l = 10 in.
S.A. = π*6*10 + π*r²
S.A. = 60π + 36π
S.A. = 301.592895
S.A. = 301.6 in.² (nearest tenth)
6. Surface area of the sphere = 4πr²
r = 22 cm
S.A. = 4*π*22²
S.A. = 1,936π
S.A. = 6,082.1 cm² (nearest tenth)
7. Surface area of the cylinder = 2πrh + 2πr²
r = 7 in.
h = 14 in.
S.A. = 2*π*7*14 + 2*π*7²
S.A. = 923.6 in.² (nearest tenth)
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
80
Step-by-step explanation:
18^2 + 80^2 = 82
324 + 160 = c^2
Answer:
80 cm
Step-by-step explanation:
To solve this problem, you can use the pythagorean theorem which is a^2 + b^2 = c^2. We are given that a = 18, and c as the hypotenuse equals to 82. We can plug these numbers into the theorem:
18^2 + b^2 = 82^2
324 + b^2 = 6724
b^2 = 6400
b = 80 cm
What is Limit of g (x) as x approaches 1, if it exists?
0
7,000,000
700,000,000
DNE
Answer:
7,000,000
Step-by-step explanation:
Limit of a function:
The limit of a function is finding looking at it's lateral limits.
If the lateral limits are equal:
The limit exists.
[tex]\lim_{x \rightarrow a} f(x) = \lim_{x \rightarrow a^{+}} f(x) = \lim_{x \rightarrow a^{-}} f(x)[/tex]
If lateral limits are different:
That is:
[tex]\lim_{x \rightarrow a^{+}} f(x) \neq \lim_{x \rightarrow a^{-}} f(x)[/tex], then the limit does not exist.
In this question:
To the left of 1, that is, 0.9999....
[tex]\lim_{x \rightarrow 1^{-}} g(x) = 7,000,000[/tex]
To the right of 1, that is, 1.0001...
[tex]\lim_{x \rightarrow 1^{+}} g(x) = 7,000,000[/tex]
Since the both limits are the same, the limits exists and it's value is of 7,000,000.
Answer:
D
Step-by-step explanation:
It shows it in the quwestions image
If P = (5,4), find the image
of P under the following rotation.
180° counterclockwise about the origin
([?], [])
Enter the number that belongs in
the green box.
Answer:
[tex](-5,-4)[/tex]
Step-by-step explanation:
Given
[tex]P = (5,4)[/tex]
Rotation: 180 degrees counterclockwise
Required
P'
Rotation: 180 degrees counterclockwise
The rule is:
[tex](x,y) \to (-x,-y)[/tex]
So: [tex]P = (5,4)[/tex] becomes
[tex](5,4) \to (-5,-4)[/tex]
There are 14 fish in the fish tank. Five-sevenths of
them are goldfish. How many goldfish are in the
tank?
Answer:
10
Step-by-step explanation:
[tex] \sf\sqrt{256} [/tex]
[tex] \\ \\ \\ [/tex]
Answer:
I hope this helps you hehehe :)
Step-by-step explanation:
=√256
=√4×4×4×4
=√4^4
=44/2
=4^2
=16
8
4
A gold bar is similar in shape to a rectangular prism. A gold bar is
7 1
approximately 7 in.x3 in.x1 in. If the value of gold is $1,214 per ounce,
about how much is one gold bar worth? Use the formula w 11.15n, where w
is the weight in ounces and n=volume in cubic inches, to find the weight in
ounces. Explain how you found your answer.
Answer:
[tex]Worth = \$284258.1[/tex]
Step-by-step explanation:
Given
[tex]Dimension: 7in\ * 3in\ * 1in[/tex]
[tex]Value = \$1214/oz[/tex] ---- value of Gold
Required
The worth of 1 gold bar
First, calculate the volume (n) of the gold bar
[tex]n = 7in * 3in * 1in[/tex]
[tex]n = 21in^3[/tex]
Next, calculate the weight of the gold bar using:
[tex]w = 11.15n[/tex]
[tex]w = 11.15 * 21[/tex]
[tex]w = 234.15oz[/tex]
Multiply the value of Gold by the weight of the gold bar to get the worth of the gold bar.
[tex]Worth =Value * w[/tex]
This gives:
[tex]Worth = \$1214/oz * 234.15oz[/tex]
[tex]Worth = \$1214 * 234.15[/tex]
[tex]Worth = \$284258.1[/tex]
Use Pythagorean Theorem to determine if the three
given sides create a right triangle.
15 m, 8 m, 17 m
Show your work
Answer:
Yes, it is a right triangle.
Step-by-step explanation:
8²+15²=17²
64+225=289
289=289 YES, it is a right triangle
Find the length of missing side BC and AC.
Best answer gets brainliest!!!
Answer:
b = 7.56
C = 9.24
Step-by-step explanation:
Find the last angle of the triangle.
The sum of all the angles in a triangle is
180 degrees.
A+
90+55=180
A=35
Then find c
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos(B)=adj/hyp or Cos(55) = 5.3 / c
re write as
C = 5.3 / cos55
This gives you c = 9.24
Then use the Pythagorean theorem to find the unknown side.
[tex]a^{2} +b^{2} = c^{2} \\rewrite as\\ b^{2} = c^{2} - a^{2} \\b^{2} = 9.2^{2} - 5.3^{2} \\b^{2} = 57.29\\b = 7.56[/tex]
Write two fractions that are equal to 1/2.
Answer:
2/4 nd 4/8
Step-by-step explanation:
Extras; 3/6, 5,10, 6/12
Answer:
2/4 and 3/6 .
Step-by-step explanation:
Given :-
A number 1/2.We need to write two fractions which equals to 1/2 . For that we can multiply the denominator and numerator by same number .
First equal fracⁿ :-
[tex]:\implies[/tex] 1/2 × 2/2 = 2/4
Second equal fracⁿ :-
[tex]:\implies[/tex] 1/2 × 3/3 = 3/6
Hence the two equal fractions are 2/4 and 3/6 .Help with this question!Please
Answer:
x = 14 for the first one, x = 60 for the second one
Step-by-step explanation:
Step-by-step explanation:
We know the measure of a straight line is 180° . So that ,
> 5x - 10 + 120 = 180
> 5x = 60 + 10
> 5x = 70
> x = 70/5
> x = 14
Solution 2 :-
> x + 50 + 70 = 180
> x = 180 - 120
> x = 60
Hector has 7/8 of a pound of leftover Halloween candy. He plans on giving it away to his friends. If he plans on giving each person 1/16 of a pound, how many people can he give to? Show your work.
Answer: 14
Step-by-step explanation:
1/16x = 7/8
x = 7/8*16/1 = 14
He can sell his candy
Give away to people.