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Hunter-Best [27]
2 years ago
5

What is the slope of the line ​

Mathematics
1 answer:
valentina_108 [34]2 years ago
8 0
The answer to you ? is = -3/4x
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Find the exponential function that satisfies the given conditions: Initial value = 64, decreasing at a rate of 0.5% per week
mrs_skeptik [129]

Answer:

Step-by-step explanation:

An exponential function is of the form

y=ab^x

where a is the initial value and b is the growth/decay rate.  Our initial value is 64.  That's easy to plug in.  It goes in for a.  So the first choice is out.  Considering b now...

If the rate is decreasing at .5% per week, this means it still retains a rate of

100% - .5% = 99.5%

which is .995 in decimal form.

b is a rate of decay when it is greater than 0 but less than 1; b is a growth rate when it is greater than 1.   .995 is less than 1 so it is a rate of decay.  The exponential function is, in terms of t,

f(t) = 64(.995)^t

4 0
3 years ago
3 regions are defined in the figure find the volume generated by rotating the given region about the specific line
anastassius [24]

The volume generated by rotating the given region R_{3} about OC is \frac{4}{g}  \pi

<h3>Washer method</h3>

Because the given region (R_{3}) has a look like a washer, we will apply the washer method to find the volume generated by rotating the given region about the specific line.

solution

We first find the value of x and y

y=2(x)^{\frac{1}{4} }

x=(\frac{y}{2} )^{4}

y=2x

x=\frac{y}{2}

\int\limits^a_b {\pi } \, (R_{o^{2} }  - R_{i^{2} } )       dy

R_{o} = x = \frac{y}{2}

R_{i} = x= (\frac{y}{2}) ^{4}

a=0, b=2

v= \int\limits^2_o {\pi } \, [(\frac{y}{2})^{2} - ((\frac{y}{2}) ^{4} )^{2} )  dy

v= \pi \int\limits^2_o= [\frac{y^{2} }{4} - \frac{y^{8} }{2^{8} }}  ] dy

v= \pi [\int\limits^2_o {\frac{y^{2} }{4} } \, dy - \int\limits^2_o {\frac{y}{2^{8} } ^{8} } \, dy ]

v=\pi [\frac{1}{4} \frac{y^{3} }{3}  \int\limits^2_0 - \frac{1}{2^{8} }  \frac{y^{g} }{g} \int\limits^2_o\\v= \pi [\frac{1}{12} (2^{3} -0)-\frac{1}{2^{8}*9 } (2^{g} -0)]\\v= \pi [\frac{2}{3} -\frac{2}{g} ]\\v= \frac{4}{g} \pi

A similar question about finding the volume generated by a given region is answered here: brainly.com/question/3455095

6 0
1 year ago
If your good at maths help me
ahrayia [7]

Answer:

6n+1

Step-by-step explanation:

first term=13-6=7

nth term=7+(n-1)6=7+6n-6=6n+1

3 0
2 years ago
Read 2 more answers
2/3 + 3/4=? (pls show the steps on how you got an awnser :) )
shepuryov [24]

Answer:

17/12= 1 5/12

Step-by-step explanation:

Common denominator:

2/3= 8/12

3/4= 9/12

Solve:

8+9= 17

17/12= 1 5/12

8 0
3 years ago
Read 2 more answers
Solve the following quadratic by<br> completing the square.<br> y = x2 - 6x + 7
kobusy [5.1K]

Answer:

x = 5  or   x = 1

Step-by-step explanation:

 x² - 6x + 7 = 0

x² - 6x = -7

x² - 6x + 9 = -7 + 9      1/2 of the x term than square it and add it the both sides.

(x - 3)(x - 3) = 2

( x -3)² = 2

\sqrt{(x - 3)^2 = \sqrt{2}

(x -  3) = ± 2

x - 3 = 2  or  x - 3 = -2

x = 5     or  x = 1

7 0
2 years ago
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