Answer:
ln|sec(x) + tan(x)| + c
Step-by-step explanation:
∫sec(x) dx
secx = 1/cos(x) = cos(x)/cos²(x) = cos(x)/(1-sin²(x))
let u = sinx
we get ∫secx = ∫du/(1-u²) = ln√(1+u)/(1-u)
as (1+u)/(1-u) = (1+sinx)/(1-sinx) = (sec²x + tan²x)
so ln √(1+u)/(1-u) = ln√(sec²x + tan²x) = ln|secx+tanx| +c
A theater always sets the price of a seat on the lower level, a, as $5 more than the price of a seat in the balcony, b. This situation is represented by the function a = 5 + b.
Answer:
I took the test
Step-by-step explanation:
From 11 friends to 12 friends find the percent
Answer:
109.090909%
Step-by-step explanation:
Answer:
9.09091%
Step-by-step explanation:
From 11 friends to 12 friends find the percent
from 11 friends to 12 friends. The number of friends is increased by 1.
To get the percentage of increase:
(12 - 11) / 11 = 1 / 11 = * 100% =
The increase of 1 friend is equivalent to 9.09091% increase
11 is the basis. It is the 100%
1 is the increase. It is the 9.09091%
12 is the total number of friends.
Last summers, students who worked earned an average of $80 a week with a standard deviation of $12. What percentage of students earned more that $104 per week?
Answer:
2.28%Step-by-step explanation:
Given:
μ = 80σ = 12x = 104Find z-score:
z = (x - μ)/σz = (104 - 80)/12 = 2Percent value corresponding to 2 as per z-table is 0.9772. This is corresponding to 97.72%.
Percentage of students earned more than $104:
100 - 97.72 = 2.28factorize 21xy - 14xz - 28wx
Answer:
7x(3y - 2z - 4w)
Step-by-step explanation:
21xy - 14xz - 28wx ← factor out 7x from each term
= 7x(3y - 2z - 4w)
Answer:
7 x . (3y - 2z - 4w
Step-by-step explanation:
plz help ty<3
6cd^2+ 5cd + 3c^2 d^3
I think its 52 I'm not sure please dont get angry If I got it wrong
1.
Identify the vertex and the y-intercept of the graph of the function.
y = 0.5(x – 3)^2
A. vertex, (3, 0); y-intercept 4.5
B. vertex, (–3, 0); y-intercept, 4.5
C. vertex, (–3, 0); y-intercept, 1.5
D. vertex, (3, 0); y-intercept, 1.5
Answer:
A. vertex, (3, 0); y-intercept 4.5
Step-by-step explanation:
Rewrite in vertex form and use this form to find the vertex
( h , k ) . ( 3 , 0 )
To find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y .
x-intercept(s):
( 3 , 0 )
y-intercept(s):
( 0 , 4.5 )
Isosceles trapezoid ABCD has legs AB and CD, and base BC. If AB = 3y - 4, BC = 2y -3, and CD = 4y - 18, find the value of y.
Answer:
(6)
Step-by-step explanation:
Since it is an isosceles trapezoid the length of the two legs (i.e. AB = 5y-10 and CD = 2y+8) are equal. In other words,
5y - 10 = 2 y + 8
Subtract 2y from each side:
5y - 2y - 10 = 8
Now add 10 to each side
5y - 2y - 10 + 10 = 8 + 10 =>
3y + 0 = 18 =>
3y = 18 =>
y = 6
There are 50 students in one of Mr. Rudolph's physical education classes. On Monday, 14% of the students were absent from that dass. How many students were present in that dass
on Monday?
43 is the number of students were present in that class on Monday
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that there are 50 students in one of Mr. Rudolph's physical education classes.
On Monday, 14% of the students were absent from that dass.
We have to find the number of students were present in that dass
on Monday.
Let us find 14% of 50
14/100 ×50
0.14×50
7 students were absent.
Now 50-7=43 students.
Hence, 43 number of students were present in that class on Monday
To learn more on Percentage click:
https://brainly.com/question/28269290
#SPJ6
A company claims that their new bottle holds 25% more laundry soap. If their original container help 48 fluid ounces of soap, how much does the new container hold?
Can someone please answer for d and b
Answer:
d=2√2, b=[tex]\frac{3\sqrt{2}}{2}[/tex]
Step-by-step explanation:
first triangle is a 30-60-90
so, sides x-x√2-2x
x=2
therefore d=2√2
second triangle is 45-45-60
sides, 1-1-√2
which means b√2=6
b=6/√2 ---> multiply by √2/√2 to get ride of the √2 denominator
b=6√2/4 , simplify
b=[tex]\frac{3\sqrt{2}}{2}[/tex]
The distance your friend travels in y (miles) running x hours is represented by the equation y = 7.5x.
a. Graph the equation and interpret the slope
b. how many minutes does it take for your friend to run one mile
What force is required to accelerate a car at a rate of 5 m/s2 if the car has a mass of 35.7 kg?Force Mass Acceleration
30.7 N
7.14 N
178.5 N
0.14 N
Answer:
178.5 N
Step-by-step explanation:
force = mass * acceleration
f = 35.7 * 5
f = 178.5
178.5 Newtons
Graph the equation and identify the intercept(s). If the equation is linear, find the slope of the line.
4. 2x - 3y = 6
5. y = 4.5
6. y = | x - 1 | -2
Answer:
Graphs shown below.
4.) x-intercept: (3,0) y-intercept: (0,-2) slope: 2/3
5.) x-intercept: none y-intercept: (0,4.5) slope:0
6.) x-intercept: (3,0) and (-1,0) y-intercept: (0,-1) slope: none
#4 is blue graph, #5 is green graph, #6 is red graph
Step-by-step explanation:
** #4 is blue graph, #5 is green graph, #6 is red graph **
man to be honest there is a girl i really like should i tell her how i feel
Answer:
I think if you haven't hung out with her a lot, you should start hanging out with her, getting along, until you have built up courage to tell her you have feelings for her.
which one is the same to 0.6 . 1/6 , 6% , 3/5 , 60% or 6/100
Which Game Is The Best And Why?
A.) Uncharted 4 a Thief's End
B.) Call Of Duty Modern Warefare
C.) Batman Arkham Knight
D.) Marvel's Spider-Man
Answer:
Hmm, id say call of duty, because first of all, my brother would not be happy if i chose something else, lol, also that one is pretty fun
Step-by-step explanation:
Griff needs $46.35 more to buy a video game that costs $75.00, how much money does he already have?
straight line graph table - complete the table of values for the equation y=x+6 using values that lie on the graph shown
Answer:
take any value of x and substitute such as x is 0
y will be plus 6 so (0,6)
y is 0 so x will be minus 6 so (-6,0)
Step-by-step explanation:
take any value of x and y and substitute
Mark as brainliest!!!
Solve the slope for the table.
the answer to your question is slope is 6
What is 35 X (5 +150)=
Answer: 5425
Step-by-step explanation:
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
w>-20
Step-by-step explanation:
Write the equation of the line described below in point-slope form.
Answer:
y-1=2(x-3)
Step-by-step explanation:
Point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]. m = the slope. [tex]1=y_{1}[/tex] and [tex]3=x_{1}[/tex] now you plug it in. y-1=2(x-3).
[tex]\text{Given that,}\\\\(x_1,y_1)=(3,1) ~ \text{and slope, m=2}\\\\\text{The equation,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -1 = 2(x -3) \\\\\implies y = 2(x-3) +1 \\\\\implies y =2x-6 +1\\\\\implies y =2x -5[/tex]
Will mark brainliest
Answer:
27
Step-by-step explanation:
A fish is at 12.85m below sea level and a turtle is at 3.5m right above the fish. State the position of the turtle.
Answer:
9.35
Step-by-step explanation:
because you take 3.5 away from 12.85
Answer:
9.35
Step-by-step explanation:
SAME EXPLANATION PO
If a Japanese company reported an 8.8 percent increase in net profit from last year’s 426 billion yen, what would be this year’s net profit in yen?
Answer:
463,488,000,000
Step-by-step explanation:
8.8% = .088
426,000,000,000 * .088 = 37,488,000,000
426,000,000,000 + 37,488,000,000 = 463,488,000,000
four more than the price ,p
Ahmed has x pens.
Lucy has 2 more pens than Ahmed.
James has twice as many pens as Lucy.
Write down an expression, in terms of x, for the number of pens James has,
2(x +2 )
This is the number
Write using a fractional exponent.
Answer:
a number with a fractional exponent or power or index is the same as the denomination's root the whole number power the numerator
therefore the denominator will be three and numerator will be one
x²×⅓= x⅔
Choose the graph of the inequality's solution. -4x + 8 > 12
Answer:
[tex]x < - 1[/tex]
You should have a circle on -1 with the arrow going left
Step-by-step explanation:
Subtract 8 from both sides.
[tex] - 4x + 8 > 12 \\ - 8 \: \: \: \: - 8[/tex]
[tex] - 4x > 4[/tex]
Divide by -4
[tex] \frac{ - 4x}{ - 4} > \frac{4}{ - 4} [/tex]
Since you are dividing by a negative, you need to flip the inequality.
[tex]x < - 1[/tex]
Solve for m.
−2.4(m−5/6)=−5
Enter your answer as a simplified mixed number in the box.
m = plzzzzzzz helpppppp meee i willl give you all my points
Answer:
2 11/12
Step-by-step explanation:
This is what I got for the answer in the test.
The value of m in the given equation would be; m = 2.91
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We need to find the value of m.
This equation could also be given by;
−2.4(m−5/6)=−5
Distribute the negative;
−2.4(m−5/6)=−5
- 2.4m + 2.4 x 5/6 = -5
Now we get;
- 2.4m = -5 - 2
- 2.4m = -7
m = 2.91
Hence, the value of m in the given equation would be; m = 2.91
Learn more about expression here;
brainly.com/question/14083225
#SPJ2