Ratios Question 2

Westkost [7]

The same input is being mapped into two outputs, so this is not a function.

<h3>Does the table represent a function?</h3>

A function is a relation that maps elements from the domain into elements from the range. Such that each element of the domain can be mapped into only one element of the range.

Here we have the table:

x y

4 2

3 3

4 5

5 6

7 7

As you can see, the input x = 4 appears two times, first it is mapped into y = 2, and then it is mapped into y = 5.

Then this table does not represent a function.

If you want to learn more about functions:

brainly.com/question/2328150

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7 0

2 years ago

Question 1

Scrat [10]

Answer:

17.11 meters

Step-by-step explanation:

You are using trigonometry in this problem.

The height of the flagpole represents the side opposite the given angle.

The base of the triangle is given as 19 meters and represents the side adjacent to the given angle.

Out of the main trigonomentric functions (sine, cosine, and tangent), only tangent uses both the opposite and adjacent sides.

Tan(angle) = opposite / adjacent

If we plug in what we know into that equation: tan(42 degrees) = h / 19

This means that your answer = 19 * tan(42) = 17.11 meters

6 0

2 years ago

Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. If we start with only one

Elan Coil [88]

Answer:

2^24 = 16,777,216 bacterias.

Step-by-step explanation:

So we start with 1 bacteria

after 1 hours: 2*1 = 2

after 2 hours: 2*2 = 2^2 = 4

after 3 hours: 2*2^2 = 2^3

after n hours: 2^n

Since one day has 24 hours we have n = 24 and total number of bacteria will

be: 2^24 = 16,777,216 bacterias.

5 0

3 years ago

Health and jaydon liked birdwatching and kept track of how many different species they saw at each site. In one day, they busted

bearhunter [10]

You do 5*7=35 and then subtract 35-30 to get your answer 5 less species

6 0

3 years ago

If 180° < α < 270°, cos⁡ α = −817, 270° < β < 360°, and sin⁡ β = −45, what is cos⁡ (α + β)?

eduard

Answer:

$cos(\alpha+\beta)=-\frac{84}{85}$

Step-by-step explanation:

we know that

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

Remember the identity

$cos^{2} (x)+sin^2(x)=1$

step 1

Find the value of $sin(\alpha)$

we have that

The angle alpha lie on the III Quadrant

so

The values of sine and cosine are negative

$cos(\alpha)=-\frac{8}{17}$

Find the value of sine

$cos^{2} (\alpha)+sin^2(\alpha)=1$

substitute

$(-\frac{8}{17})^{2}+sin^2(\alpha)=1$

$sin^2(\alpha)=1-\frac{64}{289}$

$sin^2(\alpha)=\frac{225}{289}$

$sin(\alpha)=-\frac{15}{17}$

step 2

Find the value of $cos(\beta)$

we have that

The angle beta lie on the IV Quadrant

so

The value of the cosine is positive and the value of the sine is negative

$sin(\beta)=-\frac{4}{5}$

Find the value of cosine

$cos^{2} (\beta)+sin^2(\beta)=1$

substitute

$(-\frac{4}{5})^{2}+cos^2(\beta)=1$

$cos^2(\beta)=1-\frac{16}{25}$

$cos^2(\beta)=\frac{9}{25}$

$cos(\beta)=\frac{3}{5}$

step 3

Find cos⁡ (α + β)

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

we have

$cos(\alpha)=-\frac{8}{17}$

$sin(\alpha)=-\frac{15}{17}$

$sin(\beta)=-\frac{4}{5}$

$cos(\beta)=\frac{3}{5}$

substitute

$cos(\alpha+\beta)=-\frac{8}{17}*\frac{3}{5}-(-\frac{15}{17})*(-\frac{4}{5})$

$cos(\alpha+\beta)=-\frac{24}{85}-\frac{60}{85}$

$cos(\alpha+\beta)=-\frac{84}{85}$

4 0

3 years ago