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Answer:

The equation is not an identity.

Step-by-step explanation:

Since we have Sin theta/cos theta + cos theta/sin theta = cos theta sin theta, we re-write as Sinθ/cosθ + cosθ/sinθ = cosθsinθ where theta = θ.

For the equation to be an identity, we need to show that L.H.S(left-hand-side)= R.H.S (right-hand-side)

So,

Sinθ/cosθ + cosθ/sinθ = (Sin²θ + cos²θ)/cosθsinθ (taking L.C.M = cosθsinθ)    

                                     = 1/cosθsinθ                         (Sin²θ + cos²θ = 1)

                                     ≠ cosθsinθ      

Since L.H.S = Sinθ/cosθ + cosθ/sinθ = 1/cosθsinθ ≠ R.H.S = cosθsinθ, the equation is not an identity.

Answer:

y=x/4

Step-by-step explanation:

add x to the other side of your equation so: 4y = x

now divide both sides by 4 so your y is isolated: y=x/4

Answer:

The mapping can also be represented as the set of ordered pairs: (4, 9) (5, 10) (6, 11) (7, 12). The ordered pair preserves the directional property of the relation. It is consistent with the order of points plotted on a Cartesian Plane represented by (",$). In the Arrow Diagram that follows.

Step-by-step explanation:

When n is equal to 4, the expression 6(n+8) - 5n evaluates to 52. This means that if we replace the variable n with 4, the expression simplifies to the constant value of 52.

To evaluate the expression 6(n+8) - 5n when n = 4, we substitute n with 4 and simplify step by step:

First, we substitute n with 4 in the expression:

6(4+8) - 5(4)

Next, we simplify the parentheses:

6(12) - 5(4)

Multiplying within the parentheses:

72 - 20

Finally, we subtract the two values:

52

As a result, the formula 6(n+8) - 5n evaluates to 52 when n is equal to 4. This indicates that the expression becomes simpler if we substitute the variable n with the number 4, which is 52.

for such more question on expression

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Answer:

90 days

Step-by-step explanation:

Let the rate per day for the 30 days period be x

Given that the rate drops to 1/3 of the rate used in 30 days period, it means that the new rate

= 1/3 x

If at a rate of x, the full tank runs for 30 days

at a rate of 1/3 x, the full tank would run for

= x/ (1/3 x) * 30 days

= 3 * 30 days

= 90 days

At the new rate, the full tank of oil will last for 90 days

Answer:

803.84 Cm Squared

Step-by-step explanation:

A= π r2

A = 3.14 times 16 squared

A = 803.84

Answer:

The Margin of Error in percentage is 5.88%

Step-by-step explanation:

The values of the factors in the question are;

The mean increase in price per share,  = $1.95

The number of companies in the sample, n = 100

The mean increase in price per share, [tex]\overline x[/tex] = $1.82

The standard deviation of the population, σ = $0.30

The margin of error, MOE, is given by the following formula;

[tex]Margin \ of \ Error= z \times \dfrac{\sigma}{\sqrt{n} }[/tex]

Where;

z = z-score, critical value = 1.96 at 95%

σ = The standard deviation of the population = $0.30

n = The sample size = 100

Therefore, we have;

[tex]Margin \ of \ Error= 1.96 \times \dfrac{0.3}{\sqrt{100} } = 0.0588[/tex]

The Margin of Error in percentage = 0.0588 × 100 = 58.8%

The Margin of Error in percentage = 5.88%

Answer:

356 Seventh Graders

Step-by-step explanation:

All I did was find out what number 64 was 18% of, and that gave me the answer. I took 64 and put it over 18%, and set it across from X over 100%. I did the cross multiplication, and got 355.56, but rounded it to get 356. So there are 356 total seventh graders. Hope this is helpful...have a great day! :))

Answer:

5 (x + 2y - 3)

Step-by-step explanation:

5x + 10y - 15 = 5*x + 5*2y  - 5*3

                    = 5* (x + 2y - 3)

Answer:

If a is positive, the parabola will open to the right, so the answer is C

Step-by-step explanation:

Answer:

$720

Step-by-step explanation:

I = Prt

I = (9000)(0.04)(2)

I = 720

Answer:  B= 11

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

180 - 90 - 68

Answer:

22

Step-by-step explanation:

Answer:

10 units

Step-by-step explanation:

√(-1-5)²+(-4-4)²

√(-6)²+(-8)

√36+64

√100

10 units

Answer:

Step-by-step explanation:

Answer: x= 5

Step-by-step explanation: subtract 2x from both sides eliminating 2x.

4x-64=-44 add 64 to both sides eliminating -64

4x=20  divide by 4  

20/4 = 5

4x/4 = x

x= 5

Hope this helps :)

Answer:

32 x p/100 = 40

(Solve for P)

Multiply by 100 on both sides

32x = 4,000

Divide by 32 to get:

X = 125%

(reason why you multiply by 100 is because opposite of division is multiplication and we multiply the number "100" because we always multiply the denominator to both sides when having a fraction so you can solve for p or whatever. And that means p/100 x 100 it means p because since p is not a known value we consider 1/100 x 100 = 1, a variable by itself means 1 so you could just put p by itself next to the number its multiplied by which is 32 so it would be 32p because your multiplying both and the opposite of that would be dividing by 32 on both sides because you are getting rid of the 32 so therefore you will be left with: X = 125)

Answer:

2

Step-by-step explanation:

Answer:

the slope of the line is 5/2

Answer:

x--5

Step-by-step explanation:

2x+ x

Answer:

it depends on the amount of miles

Step-by-step explanation:

Answer: 148

Step-by-step explanation:

Answer:

148

Step-by-step explanation:

khan

Answer:

√{35×35}=√35²=35 is your answer

Answer:

35 is your answer

Step-by-step explanation:

.......

Answer:

There are no Like Terms.

Answer: 54=x

Step-by-step explanation:

Answer:

10 Ans.......

Step-by-step explanation:

Given:

=√200÷ 2

Solution:

= √200÷2

= √100

= 10 Answer......

Answer:

2x²+5x-9=0

using quadratic formula

a=2 b=5 c=-9

x=[-5±√5²-4(2)(-9)]/2(2)

x=[-5±√97]/4

the zeros are( -5±√97)/4