More points!! Please solve 22 and 23

Mathematics

1 answer:

nadya68 [22]4 years ago

8 0

For the table, we can count the circles that appear in each step of the fractal. The center is a single circle and is step 0. Step 1 sees 4 circles grow off of that one circle. Step 2 sees 4 circles grow off of each of these circles. Therefore the table should be:

Step 0 : 1 circle
Step 1 : 4 circles
Step 2 : 16 circles
Step 3: 64 circles

Using this table, we can solve the second part. This function is exponential growth and each step is a multiple of 4. Therefore, the function is $f(x) = 4^x$ .

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Last one!! I need the steps please! Will mark brainliest!

hoa [83]

Answer:

$h(t)=-6(t-2)^2+24$

Step-by-step explanation:

Given function:

$h(t)=-6t^2+24t$

where:

h = height (in feet)
t = times (in seconds)

Rewrite in the form $h(t)=a(t-h)^2+k$

The quickest way to do this is to expand $h(t)=a(t-h)^2+k$ and compare coefficients with the original function.

$\begin{aligned}h(t)& =a(t-h)^2+k\\ & = at^2-2aht+ah^2+k\end{aligned}$

Comparing coefficients with $h(t)=-6t^2+24t$

$\begin{aligned}\implies at^2& =-6t^2\\ a &=-6\end{aligned}$

$\begin{aligned}\implies -2aht & =24t\\ -2(-6)ht& =24t\\ 12ht & = 24t\\ 12h & = 24\\ h & = 2\end{aligned}$

$\begin{aligned}\implies ah^2+k & = 0\\(-6)(2)^2+k &=0\\ -24+k & =0\\ k &=24 \end{aligned}$

Therefore, substituting the found values into the equation:

$h(t)=-6(t-2)^2+24$

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2 years ago

If sin Θ = 2 over 3 and tan Θ < 0, what is the value of cos Θ?

guapka [62]

If sin Θ is positive and tan Θ is negative, then the angle should be in the second quadrant using the rule of thumb. In this case, cos Θ is expected to be negative. Using the calculator, the answer is -0.7454. This is equivalent to option D. <span>negative square root of 5 over 3</span>

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3 years ago

Read 2 more answers

3$ rebate on $35 pants

Assoli18 [71]

Answer:

8.57% rebate

Step-by-step explanation:

100 / 35 = 2.85714285714

2.85714285714 * 3 = 8.57142857143

8.57142857143 ---> 8.57%

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