Answer:
see explanation
Step-by-step explanation:
Using the identities
tan x = [tex]\frac{sinx}{cosx}[/tex] , sec x = [tex]\frac{1}{cosx}[/tex] , csc x = [tex]\frac{1}{sinx}[/tex] , then consider left side
sinxcosxtanxsecxcscx
= sinxcosx × [tex]\frac{sinx}{cosx}[/tex] × secxcscx ← cancel cosx on numerator/ denominator
= sinx × sinx × [tex]\frac{1}{cosx}[/tex] × [tex]\frac{1}{sinx}[/tex] ← cancel sinx on numerator/ denominator
= sinx × [tex]\frac{1}{cosx}[/tex]
= [tex]\frac{sinx}{cosx}[/tex]
= tan x
= right side , thus proven
Patrick has $5300 in his college savings account. When he starts college, he withdraws $870 from his account every month. Based on this information, which equation best represents the relationship between the number of months, x, and the amount of money left in his savings account, y?
y=−870x+5300
y=870x−5300
y=5300870x
y=870x+5300
Answer:
its the second one y=870x-5300
Step-by-step explanation:
Let f(x)=(x+2)^4, x>0. Find a formula for f^-1(x).
Answer:
Step-by-step explanation:
A road running north to south crosses a road going east to west at the point P. Car A is driving north along the first road, and an airplane is flying east above the second road. At a particular time the car is 15 kilometers to the north of P and traveling at 60 km/hr, while the airplane is flying at speed 185 km/hr 10 kilometers east of P at an altitude of 2 km. How fast is the distance between the car and the airplane changing?
Answer:
D^2 = (x^2 + y^2) + z^2
and taking derivative of each term with respect to t or time, therefore:
2*D*dD/dt = 2*x*dx/dt + 2*y*dy/dt + 0 (since z is constant)
divide by 2 on both sides,
D*dD/dt = x*dx/dt + y*dy/dt
Need to solve for D at t =0, x (at t = 0) = 10 km, y (at t = 0) = 15 km
at t =0,
D^2 = c^2 + z^2 = (x^2 + y^2) + z^2 = 10^2 + 15^2 + 2^2 = 100 + 225 + 4 = 329
D = sqrt(329)
Therefore solving for dD/dt, which is the distance rate between the car and plane at t = 0
dD/dt = (x*dx/dt + y*dy/dt)/D = (10*190 + 15*60)/sqrt(329) = (1900 + 900)/sqrt(329)
= 2800/sqrt(329) = 154.4 km/hr
154.4 km/hr
Step-by-step explanation:
Hello I need help At a certain temperature, the speed of sound in the air is 330 meters per second.
Which of the following expressions would convert this speed into kilometers per second?
Answer:
Firstly, we are told that the value we are supposed to convert is "330 meters per second." When we see the word "per," we know that the unit should be divided.
So, really, the value is:
[tex]330\ \frac{meters}{second}[/tex]
Which can be abbreviated to:
[tex]\frac{330\ m}{1\ sec}[/tex]
We can scratch off the last two answers because they involve an x, and that is not our given value.
We can also eliminate the second answer because we are supposed to convert to kilometers, which is abbreviated by "km."
So, the answer is A or:
[tex](\frac{330\ m}{1\ sec})(\frac{1\ km}{1000\ m})[/tex]
The equivalent expression is [tex](a)\ \frac{330m}{sec} \times \frac{1\ km}{1000\ m}[/tex]
SpeedSpeed is the rate of change of distance over time
The speed in meter per second is given as:
[tex]Speed =330m/sec[/tex]
Equivalent expressionTo convert from meters to kilometers, we simply multiply the distance by 0.001.
So, we have:
[tex]Speed =\frac{330m}{sec} \times 0.001[/tex]
Express 0.001 as 1/1000
[tex]Speed =\frac{330m}{sec} \times \frac{1}{1000}[/tex]
Rewrite as:
[tex]Speed =\frac{330m}{sec} \times \frac{1\ km}{1000\ m}[/tex]
Hence, the equivalent expression is [tex](a)\ \frac{330m}{sec} \times \frac{1\ km}{1000\ m}[/tex]
Read more about equivalent expressions at:
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You charge a customer $62.48 for an article. He gives you a check for $100. How much change is due him? $
Can I get some help plz?...
Answer:
[tex]1\frac{1}{2}[/tex]
Step-by-step explanation:
The first step to solving this problem is to convert these into improper fractions.
[tex]7\frac{2}{3} =\frac{21+2}{3}=\frac{23}{3}[/tex]
[tex]5\frac{1}{9} =\frac{45+1}{9}=\frac{46}{9}[/tex]
The second step is to determine the reciprocal of the second term.
Reciprocal of [tex]\frac{46}{9} =\frac{9}{46}[/tex]
The third step is to multiply the first term by the reciprocal of the second term.
[tex]\frac{23}{3}*\frac{9}{46}=\frac{207}{138}[/tex]
The fourth step is to reduce this fraction.
[tex]\frac{207}{138}=\frac{3(69)}{3(46)}=\frac{23(3)}{23(2)}=\frac{3}{2}=1\frac{1}{2}[/tex]
Answer:
1 1/2 or 3/2
Step-by-step explanation:
First you need to make your fractions improper.
7 times 3 + 2 = 23, so the fraction is 23/3
5 times 9 + 1 = 46, so the fraction is 46/9
Since this is division, flip the second fraction.
So instead of 46/9, it's now 9/46
Now you can multiply.
23/3 + 9/46 = 207/138
207/138 simplified is 3/2, or 1 1/2
Hope this helped! Leave a comment if it did. :)
3 căn x bằng 6
căn x trừ 3 bằng 5
Answer:
x=4
x=64
Step-by-step explanation:
3[tex]\sqrt{x}[/tex]=6 => [tex]\sqrt{x}[/tex] = 2 => x=4[tex]\sqrt{x}[/tex] - 3 = 5 => [tex]\sqrt{x}[/tex] = 8 => x=64Use the vertical line test to determine if the graph represents a function. Type in yes or no for your answer. Please answer as soon as possible ASAPP!!
Answer:
Step-by-step explanation:
this graph does not pass the vertical line test as it has many y values for the on x value. the answer is no, it is not a function
A sphere has a radius of 4 in. Which equation finds the volume of the sphere?
4
V=
O V-14)
ON=(4)
O V-300
= 3 108)
OV=
8
2
O V=
V
(
Answer:
V = 268 cubic inches
Step-by-step explanation:
[tex]V = \frac{4}{3} \pi r^{3}[/tex]
[tex]V = \frac{4}{3} \pi (4^{3} )[/tex]
[tex]V =\frac{4}{3}\pi (64)[/tex]
V = 268.0825731
V = 268
The volume of the sphere with radius 4 inches is V = 268.08 inches³
What is a Sphere?A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.
The Surface Area of a Sphere = 4πr²
The Volume of a Sphere = ( 4/3 ) πr³
where r is the radius of the sphere
Given data ,
Let the radius of the sphere be r = 4 inches
Let the volume of the sphere be V
So , Volume of a Sphere = ( 4/3 ) πr³
Substituting the given value of the radius, r = 4 in, we get:
V = (4/3)π(4³)
V = (4/3)π(64)
V = 268.08 inches³
Hence , the equation that finds the volume of the sphere is
V = (4/3)πr³ = (4/3)π(4³) = 268.08 inches³
To learn more about sphere click :
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Solve the system by substitution.
-9y - 10 = x
5x+ 6y = -11
Step-by-step explanation:
-9y - 10 = x
x = -9y - 10
5x + 6y = -11
5(-9y - 10) + 6y = -11
-45y - 50 + 6y = -11
(-45 + 6)y = -11 + 50
-39y = 39
y = 39/-39
y = -1
x = -9y - 10
x = -9(-1) - 10
x = 9 - 10
x = -1
solve the system of equations.
y=x^2+x+5
y=x+1
A x=-2,-2
B no solution
C (-2,0) and (2,0)
D (-2,-1) and (2,3)
Step-by-step explanation:
y = x² + x + 5
y = x + 1
x² + x + 5 = x + 1
x² + 4 = 0
x² = -4
x = ±√-4 undefined
No solutions
Option → B
Which of the following has 4 significant figure? B. 0.001 A. 7560 C.4.100 D. 4.0001
Answer:
A
Step-by-step explanation:
the zero is significant
7540
–7x − 9y = –19
–3x + 2y = –14
Answer:
the answer is
7x+9y_19=0
the sceond one is
3x_2y_14=0
if you are playing bingo night, there is a $10 cover charge plus $2 per bingo card. what is an equation for the cost (y) based on the number of bingo cards (x).
Answer:
10 + 2x = y
Step-by-step explanation:10 + 2x = y
This is because 10 is the main cost then plus 2 per bingo card
When two numbers are next to each other it means multiplication
4y+6x+5x-2y?
Help?
Ahhhhhhhhhhhh its due in 19 m
Answer:
2y + 11x
Step-by-step explanation:
4y + 6x + 5x - 2y
=> 2y + 11x
Hoped this helped.
Lakshmi planted 20 begonias, but her neighbor’s dog ate 7 of them. What percent of the begonias did the dog eat
Answer:
100 / 20 = 5
5 * 7 = 35
So the dog ate 35% of it
Step-by-step explanation:
yea so your welcome. im 7 btw
Answer:
35
Step-by-step explanation:
7/20 multiply by 100 = 35
The fish tank was $50 yesterday, and today it
has gone up by 25%... What's the new price?
Answer: $62.5
Step-by-step explanation:
50 x 25% = 12.5
50+12.5=62.5
Please please help me! Thank youu
(2x - 20) = 20
(4x - 10) = 70
I'm having trouble with his question. Can some help me?
Answer:
34ft
Step-by-step explanation:
Line OQ is 46ft which is half of line SR which was 92ft. This means that half of line SP is the same as line QP or g: 68 ÷ 2 = 34. Therefore, g = 34ft
Hope this helps!
GIVING BRIALIST!!!! (IF YOU SHOW THE STEPS THAT YOU TOOK TO SOLVE )
ex(1 ADE=61 ∠ADE=61 ∘ reason- Given)
if you don't know the answer don't press answer for points! Cause I wouldn't do that to any of y you!!!
Answer:
49
Step-by-step explanation:
<EDA + <ADC = 180 (half an angle)
So:
180 - 61 = 119 = <ADC
The interior angles of the quadrilateral add up to 360- we already know three of them, so:
73 + 119 + 119 + C = 180 ->
311 + C = 180 ->
C = 180 - 311 ->
C = 49
:)
Help can’t figure it out. It’s quadratic function
Answer:
a < -1
Step-by-step explanation:
The question is asking what coefficient a could possibly be. By comparing the blue and red parabolas, it can be observed that the red parabola has been flipped and vertically stretched. Let's break this down.
First, in order for the red parabola to mirror the blue parabola, it needs the opposite sign. The blue parabola's coefficient is positive. In order to mirror this, the red parabola's coefficient will need to be negative.
Lastly, the red parabola has been stretched. In order for the red parabola to stretch, its coefficient has to be greater than 1.
In conclusion, the red parabola needs to be negative and have a value greater than 1. Therefore, the answer is a < -1.
6. A survey revealed that 80/480 students chose math as
their favorite subject. What percentage of students
chose math as their favorite subject? (6.5B)
a) 9%
b) 2%
c) 20%
d) 16.7%
Answer:
d) 16.7%
Step-by-step explanation:
Answer:
D, 16.7%
Hope that helps (:
convert 0.35 into fraction
Answer: 7/20
hope this helps XD
What is 3x3x3x3x6x6x7=
Answer:
20412
Step-by-step explanation:
because I mutiply everything together
Answer: 3024
Step-by-step explanation:
4x3=12
12x6=72
72x6=432
432x7=3024
HELPPPPPP PLEASE IM GONNA FAILLLLL!!!!
Answer:
I can even see anything can you reupload your answer, please?
Step-by-step explanation:
Is the answer A B C D will mark as brainly
Answer:
c dkdkk
yes cause i said so
Alexandria deposits $5,000 in a savings account earning 5% interest, compounded annually. To the nearest cent, how much will be in the account after 4 years?
Answer:
At the end of 4 years, your savings will have grown to $6,077.
Step-by-step explanation:
Use the given root to find the remaining root of the function. Root: x = - 3 Function: f(x) = x ^ 2 + x - 6
Answer:
x = 2
Step-by-step explanation:
Since we know one root is -3, we know one factor of the equation is (x+3)
From there we can use the factor we know to factor the rest of the equation:
x^2 + x - 6 = (x+3) * ?
Since know -6 is just 3 * -2 and since 3-2 is 1,
(x+3)(x-2) = x^2 + x - 6
From there,
x - 2 = 0
x = 2
I need help and this is part 1
Answer:
what is part 2?? ey? ;)
Step-by-step explanation:
I need help with this I don’t understand at all
Answer:
first, simplify the equation, 5x-8x is -3x. So 6-7x = -3x+10
now subtract 6 from both sides, -7x = -3x+4
now add 3x on both sides. -4x = 4. now divide 4/-4 is -1. Thus X=-1
Answer:
x=-1
Step-by-step explanation:
6 - 7x = 5x - 8x + 10
First move the variables (x) to one side:
6 - 7x = 5x - 8x + 10
+7x +7x
6 = 5x - 8x + 7x + 10
Subtract 10 from both sides:
6 = 5x - 8x + 7x + 10
-10 -10
-4 = 5x - 8x + 7x
Simplify:
4x = -4
Divide by 4 to isolate x:
4x = -4
÷4 ÷4
x=-1
