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IceJOKER [234]
3 years ago
10

lauren is driving to the grocey store.Tye average distance is d,in miles,she travels over t minutes is giving is givin bu the fu

nction d(t)=0.5t. what is the value of the function when t=15
Mathematics
1 answer:
yulyashka [42]3 years ago
4 0

Answer:

Average distance traveled in 15 minutes = 7.5 miles

Step-by-step explanation:

Given function:

d(t)=0.5t

where d represents average distance traveled in miles and t represents time in minutes traveled.

To find the average distance traveled in t=15 minutes.

Solution:

In order to find the distance traveled in 15 minutes, we will input t=15 in the given function.

d(15)=0.5(15)

d(15)=0.5\times 15

d(15)=7.5 miles

Average distance traveled in 15 minutes = 7.5 miles

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olya-2409 [2.1K]

3^4 + 2 * 5 = 91

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3 years ago
what is the equation for the line that is perpendicular to the x-axis and passes through the point (4, -7)?
Sidana [21]

Step-by-step explanation:

perpendicular means to cross at a right angle (90 degrees).

so, any line perpendicular to the x-axis is parallel to the y-axis.

and any line parallel to the y-axis has only a defining x value. all points on that line have the same x value (while any value for y from -infinity to +infinity is valid).

the y-axis itself is

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the specified point here has an x value of 4.

so, the line we are looking for is

x = 4

to point out : this is NOT a function, because for the same x value we get more than 1 valid y values.

7 0
3 years ago
An____solutions is a value that arises from the algebraic method of solving but is NOT a solution of the original
e-lub [12.9K]

Answer: an infinity many solutions

Step-by-step explanation:

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8 0
3 years ago
A)Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity
Colt1911 [192]

Answer:

a) The sequence converges to 0

b) The lenght of the curve is \frac{1}{54}(217^{3/2}-37^{3/2})

Step-by-step explanation:

Consider the sequence a_n = \frac{-6n^6 + \sin^2(7n)}{n^7+11}

a) We will prove it using the sandwich lemma. Note that for all n -1\leq \sin^2(7n)\leq 1, then

\frac{-6n^6 -1}{n^7+11}\leq\frac{-6n^6 + \sin^2(7n)}{n^7+11}\leq \frac{-6n^6 + 1}{n^7+11}

Note that the expressions on the left and the right hand side have a greater degree on the denominator than the one on the numerator. Then, by takint the limit n goes to infinty on both sides, we have that

0 \leq\frac{-6n^6 + \sin^2(7n)}{n^7+11} \leq 0

So, the sequence converges to 0.

b) The function f(x) = 4x^{3/2}+7 the formula of curve lenght is given by

s = \int_a^b \sqrt[]{1+(f'(x))^2}dx

in this case, a=1, b=6

Note that f'(x) =6x^{{1/2}. Then

s=\int_1^6 \sqrt[]{1+36x}dx. Take u  = 1+36x. Then du= 36dx (i.e du/36 = dx). If x = 1, then u = 37 and if x = 6 then u = 217. So,

s=\frac{1}{36}\int_{37}^{217}\sqrt[]{u} du = \frac{2}{36\cdot 3} \left.u^{3/2}\right|_{37}^{217}=\frac{1}{54}(217^{3/2}-37^{3/2})

8 0
3 years ago
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