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3 years ago

Which of the following are true statements? Select all that apply.

Mathematics

2 answers:

Gennadij [26K]3 years ago

3 0

Since sine and cosecant are reciprocals, when one has a maximum the other has a minimum and vice versa.

That's choices B & D

Not sure what the question at the end is asking; at 90 degrees and also at -90 degrees the values of sine and cosecant are equal.

andreyandreev [35.5K]3 years ago

3 0

B) The cosecant graph has a local minimum when the sine graph has a local maximum.

D) The cosecant graph has a local maximum when the sine graph has a local minimum.

, The Period

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Given the following exponential function, identify whether the change represents

elixir [45]

Answer: The change represents growth with 89% of growth rate.

Step-by-step explanation:

The exponential function is given by :-

$f(x)= Ab^x$ ... (i)

Where , A = initial value , b= multiplicative factor and x= time period

We call 'b' growth factor when b>1, we can write b= 1+r , where r is the rate of growth.

We call 'b' decay factor when b<1 , we can write b= 1-r , where r is the rate of decay.

The given function : $y = 940(1.89)^x$ .

By comparing this to (i) , we get

b= 1.89 > 1 , thus it represent the growth.

Also,

$b= 1+r\Rightarrow\ 1.89 = 1+r\\\\\Rightarrow\ r=1.89-1=0.89$

i.e. Percentage rate of growth = 0.89 x 100 = 89%.

7 0

3 years ago

there are 33 seventh graders and 27 eighth graders in band, and 9 members of the band play trumpet. What decimal describes the p

Salsk061 [2.6K]

33+27=60. 9/60= .15 there's not much more to say.

4 0

3 years ago

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra

Nana76 [90]

The length of BC is $4 \sqrt{5}$ .

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

<u>Leg rule of geometric mean theorem:</u>

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$

$\Rightarrow \frac{16}{x}=\frac{x}{5}$

Do cross multiplication.

$\Rightarrow 16\times 5 = x\times x$

$\Rightarrow 80= x^2$

$\Rightarrow 16\times 5= x^2$

Taking square root on both sides.

$\Rightarrow \sqrt{16\times 5} = \sqrt{x^2}$

$\Rightarrow \sqrt{4^2\times 5} = \sqrt{x^2}$

square and square roots get canceled, we get

$\Rightarrow 4\sqrt{ 5} = x$

The length of BC is $4 \sqrt{5}$ .

7 0

3 years ago

How do I find the average rate of change?

Alenkasestr [34]

Answer:

add them all up together and then divide by the number of items

Step-by-step explanation:

8 0

3 years ago

Using a sheet of graph paper, solve the following system of equations graphically. Be sure to show any work, use a straight edge

madam [21]

Answer:

Step-by-step explanation:

Given system is

$\left \{ {{x+y=0} \atop {x-y+2=0}} \right.$

If we graph, the solution would be the interception point between these two lines, because each linear equation represents a line. The lines are attached.

In the graph, you can observe that the solution is the point (-1,1), that is x = -1 and y = 1.

Now, if we want to solve this system by another method, we can just sum both equations and solve for <em>x</em>

$\left \{ {{x+y=0} \atop {x-y+2=0}} \right.$

$2x+2=0\\x=\frac{-2}{2}=-1$

Then, we replace this value in one equation to find the other value

$x+y=0\\-1+y=0\\y=1$

Therefore, the solution is (-1,1)

4 0

3 years ago