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LenKa [72]
3 years ago
13

Find the gradient of the function at the given point. function point f(x, y, z) = x2 + y2 + z2 (3, 9, 8)

Mathematics
1 answer:
madam [21]3 years ago
8 0
Wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages 
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The function y=60+25sin(pi/6)t, where t is in months and t=0 corresponds to April 15, models the average high temperature in deg
BartSMP [9]

Answer:

The maximum temperature will be of 85 degrees, on July 15.

Step-by-step explanation:

Sine function:

The sine function oscilates between -1 and 1, and it's maximum value is:

\sin{(\frac{\pi}{2})} = 1

y=60+25sin(pi/6)t

The maximum value will occur when \sin{(\frac{\pi t}{6}}) = 1, and it will be of 60 + 25 = 85 degrees.

When will it occur?

First we find the value of t for which the value inside the function sine is \frac{\pi}{2}. So

\frac{\pi t}{6} = \frac{\pi}{2}

\frac{t}{6} = \frac{1}{2}

2t = 6

t = \frac{6}{2} = 3

That is the number of months after April 15, which is 3 months. So July 15.

8 0
3 years ago
Given the following exponential function, identify whether the change represents
siniylev [52]

Hello there!

Using the given exponential function of y = 64(0.97)^x, we can tell that it is a decaying exponential function since the rate is less than 1.

The percent of decrease is 3% since 97% of the value is retained per x time.

8 0
3 years ago
Blake and James are planning to go on a trip. Blake already has some money saved. She earns $96 more by working overtime. James
rosijanka [135]

Blake saved \bold{\$ 433.80}

Option - A

<u>SOLUTION: </u>

Given, Blake and James are planning to go on a trip.  

Blake already has some money saved.  

Let the amount saved by Blake be \$ n.

She earns \$96 more by working overtime.  

Then, total amount by Blake =\$(n+96)

James has \$ 53 more than 4 times the amount of money that Blake has saved.  

Then, total amount by James will be \$ 53+4 \times \$ n=\$(4 n+53)

If they have \$2,318 in all, we have to find how much money had Blake originally saved

Now, total amount = \$2318

\begin{array}{l}{\rightarrow \text { Amount by Blake }+\text { amount by James }=2318} \\\\ {\rightarrow \mathrm{n}+96+4 \mathrm{n}+53=2318 \rightarrow 5 \mathrm{n}+149=2318 \rightarrow 5 \mathrm{n}=2318-149 \rightarrow 5 \mathrm{n}=2169 \rightarrow \mathrm{n}=433.8}\end{array}

7 0
3 years ago
Which of these are the intercepts of the graph of y = 3x – 12?
charle [14.2K]
Y intercept is (0,-12), the x-intercept is (4,0)
5 0
3 years ago
Read 2 more answers
a circle is divided into 18 equal parts how many degrees is the angle for each part? how many degrees is the angle for 5 parts?
Ket [755]
There are 360 degrees in a circle, and we have 18 pieces, so we need to see how many times 18 goes into 360. We can find this out by dividing.

360/18=20

You can check this by multiplying 20 and 18 (it equals 360)!

So, each fraction of the circle will be 20 degrees.

If you take 5 of these 20 degree pieces, you'll need to multiply them by 20 to see how many degrees they'd be.

You need to multiply by 20 because each piece is 20 degrees, and we need to find how many degrees 5 pieces is. It's the same as doing
20+20+20+20+20! :)

20*5=100. 5 parts will be 100 degrees.


Hope I helped! :)
4 0
3 years ago
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