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tigry1 [53]
3 years ago
7

I need help with this​

Mathematics
1 answer:
Makovka662 [10]3 years ago
6 0

Answer:

25

Step-by-step explanation:

a_{1}=10\\a_{n}=2a_{n-1}-5\\a_2=2*10-5=15\\a_{3}=2*15-5=25

You might be interested in
F(x)=(x-6)e^-3x find the interval in which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema
Over [174]
\bf f(x)=(x-6)e^{-3x}\\\\
-----------------------------\\\\
\cfrac{dy}{dx}=1\cdot e^{-3x}+(x-6)-3e^{-3x}\implies \cfrac{dy}{dx}=e^{-3x}[1-3(x-6)]
\\\\\\
\cfrac{dy}{dx}=e^{-3x}(19-3x)\implies \cfrac{dy}{dx}=\cfrac{19-3x}{e^{3x}}

set the derivative to 0, solve for "x" to get any critical points
keep in mind, setting the denominator to 0, also gives us critical points, however, in this case, the denominator will never be 0, so... no critical points from there

there's only 1 critical point anyway, and do a first-derivative test on it, check a number before it and after it, to see what sign the derivative has, and thus, whether the graph is going up or down, to check for any extrema
5 0
3 years ago
What is the slope of this graph?
Verdich [7]

Answer:

6/12 or 1/2 which is 0.5

Step-by-step explanation:

I hope this is right, because I'm doing this stuff as well in class.

Slope is always rise over run. It is rising by 6 and it is running (going across) by 12. This fraction (6/12) can be simpiled to 1/2 and that can be narrowed down to 0.5.

Hope this is clear and correct.

8 0
3 years ago
Cynthia Besch wants to buy a rug for a room that is 19 ft wide and 32 ft long. She wants to leave a uniform strip of floor aroun
Rainbow [258]

Answer:

The rug should be 15 ft wide and 28 ft long.

Step-by-step explanation:

I have attached a figure that represents the situation.

The the rug is l by h, the width of the strip of floor is w.

We are told that Cynthia can only afford 420 square feet of carpeting; therefore, it must be that

l*h=420 <em>(this says the area of the rug must be 420 square feet)</em>

From the figure we see that

l= 32-2w

h=19-2w

Therefore,

l*h=420\\\\(32-2w)(19-2w)=420

We expand this equation and get:

4w^2-102w+608=420\\\\4w^2-102w+188=0

using the quadratic equation we get two solutions:

w=2\\w=23.5

since the second solution, namely w=23.5, is larger than one of the dimensions of the room (is greater than 19 ft) it cannot be the width of the strip; therefore, we take w=2 to be our solution.

Now we find the dimensions of the rug:

l=32-2(2)=28\\\\h=19-2(2)=15

The rug is 15 ft wide and 28 ft long.

8 0
4 years ago
Solve for x (picture attached) Thank you!
Hatshy [7]

Answer:

x= 52

Step-by-step explanation: you have a 90 degree angle the other side would be 90 also. you take 90 and subtract 38 to get the missing value?

3 0
3 years ago
Determine the height
tangare [24]

Answer:

The height of the model is 138 cm.

Step-by-step explanation:

Simply multiply the height by the scale factor.

230*0.006

= 1.38 m

We need to convert this measure to centimeters. Centimeters are 1/100 of a meter. Therefore, we can multiply 1.38 meters by 100 to find how many centimeters it is equal to.

1.38*100 = 138

The height of the model is 138 cm.

6 0
3 years ago
Read 2 more answers
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