Simplify the integrand
[tex]\dfrac{1-\sin^2(t)}{\sin^2(t)} = \dfrac{\cos^2(t)}{\sin^2(t)} = \cot^2(t)[/tex]
Recall the derivative of csc(t),
[tex]\dfrac d{dt} \csc(t) = -\cot^2(t)[/tex]
It follows that
[tex]\displaystyle \int \frac{1-\sin^2(t)}{\sin^2(t)} \, dt = \int \cot^2(t) \, dt = \boxed{-\csc(t) + C}[/tex]
An angle is a figure formed by two _____ with a common endpoint.
A. rays
B. lines
C. shapes
D. straightedges
E. planes
Answer:
Two rays (or lines) that begin at the same point or share same endpoint. If the lines have endpoints, they're rays. If not, they're lines.
A rectangular prism has a length of 4 in., a width of 5 in., and a height of 3 1/2in.
The prism is filled with cubes that have edge lengths of 1/2 in.
How many cubes are needed to fill the rectangular prism?
Step-by-step explanation:
it needs 4×2 = 8 cubes asking the length, 5×2 = 10 cubes along the width, and 3 1/2 × 2 = 7 cubes along the height.
so, altogether
8×10×7 = 560 cubes
find the x- and y- intercepts of parabola y=5x^2-16x+10
Y-INTERCEPT
[tex]y = 5x^2 - 16x + 10[/tex]
The y-intercept is where the equation/curve/parabola cosses the y-axis.
The y-axis is where x = 0. (The x-axis is where y = 0)
To find the y-intercept:
[tex]\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10[/tex]
The y-intercept must be at (0, 10)
X-INTERCEPT (ROOTS/SOLUTIONS)
[tex]y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0[/tex]
We need to use the quadratic formula
The quadratic formula helps us find what values of [tex]x[/tex] make the equation = 0
Quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\[/tex]
The x-intercepts are at:
[tex](\frac{8 + \sqrt{14}}{5}, 0)\\(\frac{8 - \sqrt{14}}{5}, 0)[/tex]
Answer for the question
Answer:
it is the domain
Step-by-step explanation:
because if you put 5x on the other side it will be a -5
can anyone answer this ? or recommend a better website or app that’s good for doing algebra problems like these..
Answer:
(A) 7/(m+4)
Step-by-step explanation:
When fractions have a common denominator, you add them by adding their numerators and using that sum with the common denominator.
Here, you may be able to cancel a common factor from numerator and denominator to simplify the expression further.
[tex]\dfrac{4m-17}{m^2-16}+\dfrac{3m-11}{m^2-16}=\dfrac{4m-17+3m-11}{m^2-16}=\dfrac{7m-28}{m^2-16}\\\\=\dfrac{7(m-4)}{(m+4)(m-4)}=\boxed{\dfrac{7}{m+4}}[/tex]
what's the estimate of 6.48 + 9.34?
Answer:
16
Step-by-step explanation:
6.48 + 9.34= 15.82 so when u round the number it 16 so the estimate is 16.
Select the correct answer.
Which question Is NOT a statistical question?
O A.
How many vehicles do Boston residents have per household?
• B.
How much money do Boston residents spend on transportation every day?
O C.
How many Boston residents use public transportation?
® D.
How many times per month do Boston residents use
public transportation?
O E.
How long does it take for Boston residents to travel to work?
Answer:
A. How many vehicles do Boston residents have per household?
Step-by-step explanation:
A statistical question is that question, which is answered by collecting variable data. For example - “How old are the students in your neighborhood?”
So, here the question that is not statistical is How many vehicles do Boston residents have per household? As its answer can be 1 or 2 at maximum.
Whereas;
B. How much money do Boston residents spend on transportation every day? This is statistical as you need to conduct survey for this to collect data.
C. How many Boston residents use public transportation? This also needs survey to collect data and data will be variable.
D. How many times per month do Boston residents use public transportation? This is also statistical as you have to gather data from many people.
E. How long does it take for Boston residents to travel to work? This is also statistical as everyone will have a variable answer depending on the distance they travel.
Answer:
A
Step-by-step explanation:
have a good day
Samuel is running a 3-mile race. He would like to finish the race in under 33 minutes. He has already run for 10.5 minutes.
he should have covered 0.95-mile
I forgot to put this in the question... sorry!
Answer:
6x4=24 as a fraction it could be 24/1 48/2 72/3 etc.
Step-by-step explanation:
The box and whisker plots below show two classes' semester grades. Write a paragraph comparing the two sets of
data. Be sure to compare the extremes, quartiles, medians, and the different types of ranges.
100
50
100
UPLOAD
WRITER
C
The paragraph to show the comparision between two classes semester grades on the basis of the terms
extremesquartilesmediansrangesis given below:
What is Box and Whisker plots?A box and whisker plot is defined as a graphical method of displaying variation in a set of data.
From the first figure, write all the values where dark point is drawn
53, 62, 80, 86, 89
The lower extreme is the smallest value, which is 53.The upper extreme is the highest value, which is 89.
The median will be the middle of data , which is 80The upper quartile is the median of the upper region and the lower quartile is the median of the lower region.The upper quartile is 86 and the lower quartile is 62.
Range of the data be,= Highest - Lowest
=89-53
=36
From the second figure, write all the values where dark point is drawn
56, 62, 74, 89, 96
The lower extreme is the smallest value, which is 56.The upper extreme is the highest value, which is 96.
The median will be the middle of data , which is 74.The upper quartile is the median of the upper region and the lower quartile is the median of the lower region.The upper quartile is 89 and the lower quartile is 62.
Range of the data be,= Highest - Lowest
=96-62
=34
From the above discussion,
The First class have less upper extreme value than the second class.The First class have less lower extreme value than the second class.The First class have greater median than the second class.The First class have less upper quartile than the second class.The First and second class have equal lower quartile.The First class have greater range than the second class.The comparision of the two classes on the basis of extremes, quartile, median, range is concluded above.
learn more about box and whisper plot here:
https://brainly.com/question/11859288
#SPJ1
What is the volume of 8x9x3
Answer:
given - dimensions of a particular solid as 8 × 9 × 3to find - volume of that particular solidSince , we're given three distinct measures , we can make out that the dimensions are most probably of a cuboid.
[tex]Volume \: of \: cuboid = l \times b \times h \\ \\ \implies \: 8 \times 9 \times 3 \\ \\ \bold\red{\implies216 \: units^{3}}[/tex]
hope helpful ~
The state of Nevada is approximately in
the shape of a trapezoid with two right
angles. If the 'height' of Nevada is 320
miles, the longer base is 483 miles, and
the total area is about 110,000 square
miles, what is the lenght of the shorter
base, in miles?
Answer:
The formula for area of a trapezoid is (b_{1} + b_{2})*\frac{1}{2} h=A(b
1
+b
2
)∗
2
1
h=A
b=base
h=height AKA altitude.
A=area.
Base 1 is 483.
Base 2 is 405.
483+405=888
888×320 (h) = 284160
284160 × \frac{1}{2}
2
1
= 142080
The approximate area of Nevada is 142080 square miles.
♡ Hope this helps! ♡
❀ Ishu ❀
please mark brainlist
22 people share 333 chocolate bars equally. Each chocolate bar is the same size.
About how much chocolate does each person get?
22 people
333 chocolate bars
to find:the amount of chocolate each person get.
solution:[tex] \frac{333}{22} [/tex]
[tex] = 15.1363636364[/tex]
[tex] = 15.14[/tex]
[tex] = \frac{15.14}{1} [/tex]
[tex] \frac{15.14}{1} \times \frac{100}{100} [/tex]
[tex] = \frac{1514}{100} [/tex]
[tex] \frac{1514 \div 2}{100 \div 2} [/tex]
[tex] = \frac{757}{50} [/tex]
[tex] = 15 \frac{7}{50} [/tex]
Answer:
[tex]15\frac{7}{50}[/tex]
Step-by-step explanation:
Given that:
22 people share 333 chocolate bars equally. Each chocolate bar is the same size.
To Find:
About how much chocolate does each person get?
Solve:
Since, it given us that 22 people share 333 chocolate bars equally and how much chocolate does each person gets. Therefore we have to divide the chocolate bars by the number of people.
[tex]22\overline{|\smallspace333}\:\:\:\:\:\:[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1\emptyspace5.13636\:\:\:\:\:\:\:\:\:\:\:\\ 22\overline{|\smallspace333.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace2\emptyspace2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace1\emptyspace1\emptyspace3\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace1\emptyspace1\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace3\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\underline{\emptyspace2\emptyspace2}\\80\\\underline{\emptyspace6\emptyspace6}\\140\\\underline{\emptyspace13\emptyspace2}\\8[/tex]
Rounding to nearest tenth: 15.14
Now put 15.14 over 1
[tex]\frac{15.14}{1}[/tex]
Multiply both by 100
[tex]\frac{15.14}{1}\times\frac{100}{100}[/tex]
[tex]=\frac{1514}{100}[/tex]
[tex]=\frac{1514\div2}{100\div2}[/tex]
[tex]=\frac{757}{50}[/tex]
Turning into mixed number:
[tex]15\frac{7}{50}[/tex]
Thus, each person get about [tex]15\frac{7}{50}[/tex] chocolate
Kavinsky
solve using elimination method -4x+11y=-50
-4x+11y=-50
[tex]x = \frac{25}{2} + \frac{11y}{4} [/tex]
A line passes through the point (-4,8) and has a slope of -5/4.
Write an equation in slope-intercept form for this line.
Answer:
y = -1.25x + 3
OR
y = -1 1/4x + 3
OR
y = -5/4x + 3
Bella recorded data and used her graphing calculator to find the equation for the line of best fit. She then used the correlation coefficient to determine the strength of the linear fit. Which correlation coefficient represents the strongest linear relationship?
A) 0.9
B) 0.5
C) -0.3
D) -0.8
Answer: A.) 0.9
Step-by-step explanation: hope this helps xlXCherryColaXlx. have a great day :3...(pls mark me brainliest)
Find the area of each sector. Leave in terms of pi
Answer:
choice B
Step-by-step explanation:
using the formula:
[tex]theta \div 360\pi \times r ^{2} [/tex]
Answer:
B
Step-by-step explanation:
Formula
[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]
Solution
Given:
[tex]r[/tex] = 9 cm[tex]\theta[/tex] = 60°[tex]\begin{aligned}\implies \textsf{Area} & =\left(\dfrac{60^{\circ}}{360^{\circ}}\right) \pi \cdot 9^2\\\\ & = \dfrac16 \cdot \pi \cdot81\\\\ & = \dfrac{81}{6} \pi\\\\ & = \dfrac{27}{2} \pi \: \sf cm^2\end{aligned}[/tex]
A balloon rises to 100 feet in 4 minutes and 125 feet in 5 minutes. Write and solve an equation to find the distance the balloon rises in 8 minutes. Use d for distance and m for minutes.
Write the equation and the answer separated by a semi-colon. Included the unit in your answer.
For example, d = 5m; 35 feet
Answer:
See below
Step-by-step explanation:
100 ft in 4 min = 25 ft/min
125 feet in 5 min = 25 ft min
so the height is d = 25 * m d = height m = minutes
25* 8 = 200 feet
11. 20% of a number is 6. What is the number?
A. 12
B. 26
C. 30
D. 48
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Let's solve ~
Assume the number to be x, and let's proceed as per the given information :
[tex]\qquad \tt \dashrightarrow \: \dfrac{20}{100} \times x = 6 [/tex]
[tex]\qquad \tt \dashrightarrow \: \dfrac{x}{5} = 6[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 5 \times 6[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 30[/tex]
So, the correct choice is C
20% of a number= 6.
to find:the unknown number.
solution:let the unknown be x.
[tex]20\% \times x = 6[/tex]
[tex] \frac{20}{100} = 6[/tex]
[tex]x = 6 \times \frac{100}{20} [/tex]
[tex]x = 30[/tex]
therefore, 20% percent of 30 is 6.
answer= option c
Which line best represents the line of best fit for this scatter plot?
Line A
Line B
Line C
Line D
Answer:
Line D
Step-by-step explanation:
The line of best fit should be the one where majority of the points in the scatterplot lay near itLine D is the line of best fit for this scatter plotLet's see how much points fall under each line's region
Line A:-1 or 2Line B=2LineC=2 to 3Line D=5 to 6Majority of points lie under line D
Hence line D should be correct
the prime factorization of 567 is blank.
So, the prime factorization of 567 can be written as 34 × 71 where 3, 7 are prime.
Here are the test scores for 15 students in Mr. M's class.
96, 85, 59, 63, 76, 68, 94, 97, 89, 100, 93, 96, 72, 46, 78
What is the percentage of these test scores that are less than 90?
5) Give all intercepts
Answer:
4, -4, 10
Step-by-step explanation:
on these types of questions you can take each seperate parenthesis and equate it to 0
for example:
x^2 - 16 = 0
hence,
x^2 = 16
x = 4 or -4
second parenthesis:
10 - x = 0
x = 10
make sure to ask if you need any further guidance :)
Find the volume of this triangular prism. Be sure to include the correct unit in your answer.
No links, you will be reported
Answer:
120 yards cubed
Step-by-step explanation:
brainliest please
2/0 = 32/48 = 30/0. What number shpuld come in place of the zeros?
Answer:
[tex]\sf \dfrac{2}{3} = \dfrac{32}{48} = \dfrac{30}{45}[/tex]
For the 1st part[tex]\sf \rightarrow \dfrac{2}{x} = \dfrac{32}{48}[/tex]
[tex]\sf \rightarrow 2(48)= {32x}[/tex]
[tex]\sf \rightarrow 32x= 96[/tex]
[tex]\sf \rightarrow x = 3[/tex]
For the 2nd part[tex]\rightarrow \sf \dfrac{32}{48} = \dfrac{30}{y}[/tex]
[tex]\rightarrow \sf {32y} = 30(48)[/tex]
[tex]\rightarrow \sf {32y} = 1440[/tex]
[tex]\rightarrow \sf y = 45[/tex]
How can you show your work for 8800 divided by 4
7:21=10:3z
find the value of x in this ratio
Answer:
z=10
Step-by-step explanation:
We know that the ratio 7:21 is equal to the ratio of 10:3z.
Let's model that in proportions:
7 10
- = -
21 3z
Now that the equation is in proportional form, we can cross-multiply to find the value of z.
7 * 3z = 21 * 10 - Multiply both sides
21z = 210 - Divide both sides by 21
z=10
The answer is z=10.
find the value of x ( SHOW YOUR WORK )
Answer ASAP and only if you know its correct
Brainliest to the correct answer!
Hi!
Your answer is the 1st one, 36 inches of ribbon.
The question states this is a square picture frame. That means that all the side lengths are the same.
We are given a side length of 6 inches.
In order to find the area of a square, we multiply the length and the width together.
In this problem, the sides of the picture frame measure 6 inches. Therefore:
[tex]6*6=36[/tex]
For a similar problem, see:
https://brainly.com/question/26494746
Side of the Square picture frame= 6 inches
To Find:-How much inches of ribbon she requires to cover the square frame.
According to question:-There is a square picture frame. And we know Area of square= (side)²
Solution[tex] \text{Area of Square picture frame = (side)²}[/tex]
[tex] = (6) {}^{2} \\ = 36 \: \: \text{inches of ribbon}[/tex]
[tex] \therefore \text{Option A= 36 inches of ribbon}[/tex]
Hope this helpsWhich expression is equivalent to this polynomial?
x2 + 12
Answer:
Option A is the correct answer
A. [tex](x+2\sqrt3 i)(x-2\sqrt3 i)[/tex]
Step-by-step explanation:
[tex](x + 2 \sqrt{3} i)(x - 2 \sqrt{3} i) \\ \\ = {(x)}^{2} - (2 \sqrt{3} i)^{2} \\ \\ = {x}^{2} - {(2)}^{2} {( \sqrt{3} )}^{2} {i}^{2} \\ \\ = {x}^{2} -12 {i}^{2} \\ \\ = {x}^{2} - 12( - 1) \\ (\because i^2=-1) \\ = {x}^{2} + 12[/tex]