Verify that 1 + cot2 x = csc2 x is an identity.

Answers

Answer 1

Answer: $\sin ^( 2 ){ x } +\cos ^( 2 ){ x } =1\n \n \frac { \sin ^( 2 ){ x+\cos ^( 2 ){ x } } }{ \sin ^( 2 ){ x } } =\frac { 1 }{ \sin ^( 2 ){ x } }$

$\n \n \frac { \sin ^( 2 ){ x } }{ \sin ^( 2 ){ x } } +\frac { \cos ^( 2 ){ x } }{ \sin ^( 2 ){ x } } =\frac { 1 }{ \sin ^( 2 ){ x } } \n \n 1+\cot ^( 2 ){ x } =\csc ^( 2 ){ x }$

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The expression 1/2 times(4+8) represent the number of hours Mrs nakos work that last week of school.evaluate the expression to find the number of hours she works that week

Help me ASAP! ANSWER ALL

Answers

Answer:

Step-by-step explanation:

2. I think C

3.D

4.D

5.B

6. D

7.B

8.A

9.A I think

You are working in a hospital supply room and make $13.65 an hour. The union negotiates a new contract giving each employee a 4.3% cost of living raise. What is your new hourly rate?

Answers

The new hourly rate will be $14.196 per hour.

What is a mathematical function, equation and expression?

function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.

equation : A mathematical equation is used to equate two expressions.

Given is that you are working in a hospital supply room and make $13.65 an hour. The union negotiates a new contract giving each employee a 4.3% cost of living raise

Assume that the new hourly rate be $[x]. Then, we can write -

[x] = 13.65 + {4% pf 13.65}

[x] = 13.65 + {4/100 x 13.65}

[x] = 13.65 + 0.546

[x] = 14.196

Therefore, the new hourly rate will be $14.196 per hour.

To solve more questions on functions, expressions and polynomials, visit the link below -

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Find the amount of the raise by multiplying 13.65 x 4.3%...

13.65 x .043 = .58695

Round to the nearest cent

.59

So the raise is .59 (59 cents)

Add it to the original salary

13.65 + .59 = 14.24

New hourly wage... $14.24

Which function's graph has a period of 2?y=cos(x-pi/2)
y=3cos pi x
y=2 sin 3x
y=-4 sin 2x

Answers

If the function is:
y=a cos( bx+c), or y=a sin(x+c)
then the period is T= 2π/b and if T=2:
2=2π/b
b=2π/2=π
Answer: B) y=3 cos πx

Answer:

Option 2. y = 3 cos πx is the answer.

Step-by-step explanation:

If the function is in the standard form of y = acos(bx+c) or y = asin(bx+c)

Then period of the given function will be = 2π/b

1) For y = cos(x - π/2)

Therefore period of the function will be = 2π/1 = 2π

2) For y = 3cos πx

Period = 2π/π = 2

Correct option.

3) y = 2 sin 3x

Period of the function = 2π/3

4). y = -4sin 2x

Period of the function = 2π/2 = π

So option 2 is the answer.

Calculate how much each size per gram, and circle which gives the best value for money. 250g for $2.30, 400g for &3.40, 1Kg for $5.65

Answers

To do this, we must set up ratios:
Option One:
$(2.30)/(250g) \n (0.0092)/(1g) \n 0.0092/g$
The first options costs only $0.0092/gram (a fraction of a penny)!
Option Two:
$(3.40)/(400g) \n (0.0085)/(1g) \n 0.0085/g$
The second option costs only $0.0085/gram (cheaper than option one)!
Option Three:
This requires a little more work. First, we have to convert the grams into kilograms. For every 1 kg, there is 1,000 g. Therefore, 1,000g costs $5.65. Next, we set up the ratio as usual:
$(5.65)/(1000g) \n (0.00565)/(1g) \n 0.00565/g$
The third option costs $0.00565/gram.

Therefore, option three is the cheapest!

Hope this helps!

True or false, two figures are mathematically similar if the angles change by the same scale factor.

Answers

Answer:

true

Step-by-step explanation:

when a figure is changed by a scale factor, it is similar. The angles and shape stay the same, but the size changes.

the ball reach after bouncing four time? how many bounces does it take for the ball to reach a height of less than one inch?

Answers

After the 'n'th bounce, the ball returns to a maximum height of

   (100) times (0.75)^n .

-- After 4 bounces, the maximum height is (100) (0.75)^4 = 31.64 inches.

-- To look for the maximum height of 1 inch,    (100) (0.75)^x = 1

Let's take the log of each side: log(100) + x log(0.75) = 0

Subtract log(100) from each side: x log(0.75) = -log(100)

Divide each side by log(0.75) :     x = -log(100) / log(0.75).

log(100) = 2 . So ... x = -2 / log(0.75) = -2 / -0.124939 = 16.00785

So the ball returns to a slim hair more than 1 inch high on the 16th bounce,
and returns to definitely less than 1 inch high on the 17th bounce.

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