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Aloiza [94]
3 years ago
15

The function f(t) = 5 (4)^t represents the number of frogs in a pond after t years. If this function is graphed, what would be t

he meaning of the y-intercept?
The pond starts off with 4 frogs




The number of frogs multiplies by 4 each year




The pond starts off with 5 frogs




After the first year, there are 20 frogs
Mathematics
1 answer:
BabaBlast [244]3 years ago
8 0
From my understanding and calculations I got the answer D “after the first year, there are 20 frogs”
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(cotx+cscx)/(sinx+tanx)
Butoxors [25]

Answer:   \bold{\dfrac{cot(x)}{sin(x)}}

<u>Step-by-step explanation:</u>

Convert everything to "sin" and "cos" and then cancel out the common factors.

\dfrac{cot(x)+csc(x)}{sin(x)+tan(x)}\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)}{1}+\dfrac{sin(x)}{cos(x)}\bigg)\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg[\dfrac{sin(x)}{1}\bigg(\dfrac{cos(x)}{cos(x)}\bigg)+\dfrac{sin(x)}{cos(x)}\bigg]\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)cos(x)}{cos(x)}+\dfrac{sin(x)}{cos(x)}\bigg)

\text{Simplify:}\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)cos(x)+sin(x)}{cos(x)}\bigg)\\\\\\\text{Multiply by the reciprocal (fraction rules)}:\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)cos(x)+sin(x)}\bigg)\\\\\\\text{Factor out the common term on the right side denominator}:\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)(cos(x)+1)}\bigg)

\text{Cross out the common factor of (cos(x) + 1) from the top and bottom}:\\\\\bigg(\dfrac{1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)}\bigg)\\\\\\\bigg(\dfrac{1}{sin(x)}\bigg)\times cot(x)}\qquad \rightarrow \qquad \dfrac{cot(x)}{sin(x)}

6 0
3 years ago
Help me plz apperciat it
nata0808 [166]

Answer:

24

Step-by-step explanation:

I have had this question before I know the answer

4 0
3 years ago
Aurora hit a baseball with an initial velocity of 70 feet per second at an angle of 30° with the horizontal. The ball hit her ba
snow_tiger [21]

Answer:

See below

Step-by-step explanation:

Y component of velocity is 70 sin 30°

y position =   3  + 70 sin 30°  * t    - 1/2 a t^2

 when the ball hits the ground  y = 0

       0 = 3 + 70 sin 30°  t  - 1/2 (32.2)t^2

           - 16.1 t^2 + 35t + 3 = 0  

                    Use Quadratic Formula to find t = <u>2.26 seconds</u>

Horizontal component of initial velocity

 70 cos 30°             distance horizontal = 70 cos 30°  * t

                                   = 70 cos 30°  (2.26) =<u> 137.0 ft</u>

                     

4 0
2 years ago
Can someone please help, ty!! (Will mark brainliest)
Ivanshal [37]

Answer:

i believe it may be light blue

Step-by-step explanation:

5 0
3 years ago
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The dot is in the middle <br> 5) What exponent matches the expression? *<br> 1/8 . 1/8
Sunny_sXe [5.5K]

\dfrac{1}{8}\cdot \dfrac{1}{8} = \dfrac{1}{8^2} = \left(\dfrac{1}{8}\right)^2 = \left(\dfrac{1}{8}\cdot 1\right)^2 = \left(\dfrac{1}{8}\cdot \dfrac{2}{2}\right)^2 = \left(\dfrac{2}{16}\right)^2

7 0
3 years ago
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