Answer:
y=t−1+ce
−t
where t=tanx.
Given, cos
2
x
dx
dy
+y=tanx
⇒
dx
dy
+ysec
2
x=tanxsec
2
x ....(1)
Here P=sec
2
x⇒∫PdP=∫sec
2
xdx=tanx
∴I.F.=e
tanx
Multiplying (1) by I.F. we get
e
tanx
dx
dy
+e
tanx
ysec
2
x=e
tanx
tanxsec
2
x
Integrating both sides, we get
ye
tanx
=∫e
tanx
.tanxsec
2
xdx
Put tanx=t⇒sec
2
xdx=dt
∴ye
t
=∫te
t
dt=e
t
(t−1)+c
⇒y=t−1+ce
−t
where t=tanx
A sales clerk sold 3 times as many T-shirts as hats last week. The number of belts she sold was 15 more than 1/4 the number of hats she sold. If she sold 288 hats, how many fewer belts than t-shirts did the clerk sell?
Answer:
777 fewer belts
Step-by-step explanation:
288/4 = 72
72 + 15 = 87
288*3 = 864
864 - 87 = 777
S varies inversely as G. If S is 9 when G is 2.4, find S when G is 6. a) Write the variation. b) Find S when G is 6
Answer:
S = 21.6/G
S = 3.6
Step-by-step explanation:
Inverse variation:
y = k/x
For this problem:
S = k/G
We use the given values of S and G to find k.
9 = k/2.4
k = 9 * 2.4
k = 21.6
The equation is
S = 21.6/G
For G = 6,
S = 21.6/6
S = 3.6
A School of 38 teachers has 15 married
women. If 6 of the teachers are couples, how
many of the teachers are neither married nor
have their spouses not in the school? (A) 17 (B) 23 (C) 20 (D) 21
17 teachers are neither married nor have their spouses not in the school
Venn diagram
A Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things.
Venn diagrams help to visually represent the similarities and differences between two concepts.
From the question:
Number of teachers neither married nor have their spouses not in the school = 38 - (15 + 6) = 17
Find out more on venn diagram at: https://brainly.com/question/1024798
Answer:
17
Step-by-step explanation:
15-6=21
38-21=17
Translate the figure 3 units right and 7 units down. What are the coordinates of A'?
Answer:
i will go do the math
Step-by-step explanation:
In the diagram RT is tangent at s. If the measure of SVU is 138 what is m
Answer:
D 111
Step-by-step explanation:
Answer:
D. [tex]111\degree [/tex]
Step-by-step explanation:
By tangent secant theorem:
[tex] m\angle TSU=\frac{1}{2}(360\degree - 138\degree) [/tex]
[tex] m\angle TSU=\frac{1}{2}\times 222\degree [/tex]
[tex] m\angle TSU=111\degree [/tex]
Joel rides bikes in his city There are 4 lengths of race tracks.
Answer:
21
Step-by-step explanation:
asdawda
Find the area of the figure
Someone plz help I’m giving 30 points its not 6 not 16 not 112 someone plz help me figure this out
Answer:
2,400
Step-by-step explanation:
10 x 10 x 6 x 4 = 2,400
so your answer is going to be 2,400
Answer: 132
Step-by-step explanation:
Area of rectangle = length x width
(10 x 14. Add on the length of the triangle base)
Area of triangle = 1/2 base x height
(1/2*4 x 2. Notice the missing lengths on either side of 6 would be 2. 2 is also the height of the triangle)
In the figure, you have a rectangle with two equal triangles cut out at the bottom.
Find the area of the rectangle and subtract the area of the two triangles.
Area of rectangle 10x14= 140
Area of one triangle (1/2)4 x 2 = 4
Area of rectangle - two times area of triangle
140 - 2(4) =
140 -8 = 132
Jenna earns $10.75 per hour working at the mall. If Jenna worked 27 1/5 hours last week, how much did she earn before taxes were taken out?
Answer:
$292.40 earned
Step-by-step explanation:
$10.75 x 27 = $290.25
$10.75 x 1/5 = $2.15
$290.25 + $2.15 = $292.40 (total earned)
I hope this helps :)
Pie belongs to which number set?
What is the value of up to the hundred-thousandths place?
9514 1404 393
Answer:
irrational numbers3.14159Step-by-step explanation:
Pi is the name given to the ratio of the circumference to the diameter of a circle. It is the same irrational value for all circles. "Pi" is the 16th letter of the Greek alphabet. The lower-case symbol π is used to represent the value ...
3.1415926535897932384626433...
The value has been calculated to more than 31 trillion digits. The exercise of doing that is often used to test supercomputers and computer clusters.
__
"Pie" is something else entirely. Most often, it belongs on the dessert cart, not in a number set.
PLZ HeLP
Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.
hight 5m
base 5m
other base 9m
Given m = -1/2 and the point (2, 1), which of the following is the point-slope form of the equation?
Answer:
let (2,1) be (x1,y1)
equation of straight line in one intercept form
y-y1=m (x-x1)
y-1=-1/2 (x-2)
2 (y-1)=x-2
2y-2=x-2
x-2y-2+2=0
x-2y=0 is the required eqn
Which expression is equivalent to 17s - 10+3(2s+1)
Answer:
23s-7
Step-by-step explanation:
expand
17s-10+6s+3
simplify
=23s-7
lol my laptop died in the middle of typing this mb
Which theorem is the following?
"If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment"
Answer:
Perpendicular bisector theorem
Step-by-step explanation:
The illustration of the theorem is:
If point B is a perpendicular bisector of Line AC and the length of AC is 10cm
Then
[tex]AB + BC = 10[/tex]
Where
[tex]AB = BC[/tex] --- Perpendicular bisector
So, the equation becomes
[tex]AB + AB =10[/tex]
[tex]2AB =10[/tex]
[tex]AB = 5[/tex]
Recall: [tex]AB = BC[/tex]
[tex]AB = BC = 5[/tex]
HELPPPPPP PLEASE I AM STRUGLING]
10 is the answer
why are you struggling
so simple
hope it helps you ❣❣Mark me as brainliest
Plzz help me I am bad at math plzzz!
Complete this number sentence with the correct symbol.
0.2. 0.20
A. <
B.>
D.=
Answer:
=
Step-by-step explanation:
its the same just with an extra 0 at the end
Please answer and explain I’ll mark brainliest!!!!!!!!!!!!
Answer:
A. x^2−x+6
B. 2x^2−11x+12
C. x^2−4
Step-by-step explanation:
Hope it helps
A. Distribute:
=(x)(x)+(x)(−3)+(2)(x)+(2)(−3)
=x2+−3x+2x+−6
Combine Like Terms:
=x2+−3x+2x+−6
=(x2)+(−3x+2x)+(−6)
=x2+−x+−6
B. I can't find an explanation
C. I can't find an explanation
Answer:
So we apply the distributive property to get
a) x^2 - 3x + 2x - 6
b) 2x^2 - 8x - 3x + 12
c) x^2 - 2x + 2x - 4
then we add like terms to get
a) x^2 - x - 6
b) 2x^2 - 11x + 12
c) x^2 - 4
brainliest please?
Which graph represents the solution say to the system of equations
Answer:
Step-by-step explanation:
System of equations has been given as,
y = [tex]-\frac{1}{2}x+3[/tex] -------(1)
and y = [tex]\frac{1}{2}x-1[/tex] -------(2)
Slope-intercept form of the equation of a line is,
y = mx + b
Here, m = slope of the line
b = y-intercept
By comparing this equation with the given lines,
y-intercepts of the given equations are 3 and -1
For solution of the systems,
[tex]-\frac{1}{2}x+3=\frac{1}{2}x-1[/tex]
[tex]\frac{1}{2}x+\frac{1}{2}x=3+1[/tex]
x = 4
From equation (2),
y = [tex]\frac{1}{2}(4)-1[/tex]
y = 1
Point of intersection of these lines is (4, 1).
Therefore, 4th graph (Extreme last from the left) will be the answer.
Before the clowns arrived, only 35 percent of the children
wore happy faces. If 91 children did not wear happy
faces, how many children were there in all?
Answer:
91 + 35 =126. Hope it helps
i need help with this question
Answer:
[tex] \boxed{ \tt{x = 201 \:m}}[/tex]
Step-by-step explanation:
[tex]applying \: the \: sine \: rule \to \\ \: \sin(38) = \frac{x}{327} \\ x = 327 \sin(38) \\ x = 201.32[/tex]
Find the value of X please i need help
Answer:
a
Step-by-step explanation:
Answer:
C.70
Step-by-step explanation:
ANYBODY KNOW THIS ??? DUE TODAY
Answer:
not sure but hope you find what your looking 4
Step-by-step explanation:
Billy conducted an experiment by rolling a a standard number die 500 times.
During this experiment he rolled a three 120 times. What is the theoretical
probability of rolling a three on a standard number die?
pls i need help with this math question what is 17 - 12
What is the slope of the graph of the line y=2x-3
Answer:
3/2 ??
Step-by-step explanation:
Hello there!
This equation is written in slope-intercept form (y=mx+b) which means it's easy to identify the slope.
In slope-intercept form, m is the slope.
Therefore, the slope of this line is 2.
Hope it helps.
~An emotional teen who helps others and listens to her favourite song "How Far I'll Go"
-Grace ;-)
Good luck.
the price of a computer had a discount of 7,800 if the discount was 20% how much was the original price
answer:
39000
step by step:
5x7800=39000
Answer:
The answer is 39,000
Step-by-step explanation:
Hope you have a great day
PLS HELP! DUE IN 30 MINUTES!
Answer:
8x
Step-by-step explanation:
Joe added 1,500 liters of water to his pool. How many kiloliters did he add to his pool?
Answer:
1.5 kiloleter
Step-by-step explanation:
1 kiloleter = 1000 liters
so
1500 liters = 1.5 kiloleters
pls mark brainliest if possible lol
Answer:
1 1/2 kl
Step-by-step explanation:
1 kiloliter is a 1,000 liters, so 1 liter and 500 is 1/2 of 1,000
Ben is laying a triangular brick patio beside his wood deck.
25 ft
10 ft
12 ft
What is the area of the brick patio?
Please help I will give brainliest! I just need 22 and 23 please! Thank you! (And it’s related to ordered pairs by the way!)
Answer:
22. B1, G1 (from left to right)
23. E5
Step-by-step explanation:
3 x 7/8 I need help with this I do not understand if anyone knows tell me
Answer:
21/8
Step-by-step explanation:
because 3*7 is 21 over8
Answer:
Step-by-step explanation:
Your problem → 3 x ^7/8
3x^7 /8
= 3* x^7 /8
= 3x^7 /8
There is no any common factor