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Degger [83]
3 years ago
14

Alexis washes 10 1/2 windows in 3/4 hour.at least rate how many windows can she wash in one hour

Mathematics
1 answer:
Komok [63]3 years ago
8 0
10 1/2 : 3/4
Divide both sides by 3/4 so the hour side is 1:
(10 1/2)/(3/4) :1
(21/2)/(3/4) :1
21/2*4/3 :1
84/6 :1
14 :1
She can wash 14 windows in one hour.

Hope this helps :)
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How do you find the area of a semicircle when the diameter is 10?
PolarNik [594]

Answer:6.28 units sq

Step-by-step explanation:

To find the area of a semi ..circle

Area of semi- circle=1/2πr^2

d=10 r=2

A=1/2×3.14×2×2

A=6.28 units sq

5 0
3 years ago
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Find the taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that
Bond [772]

Taylor series is f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2}  }

To find the Taylor series for f(x) = ln(x) centering at 9, we need to observe the pattern for the first four derivatives of f(x). From there, we can create a general equation for f(n). Starting with f(x), we have

f(x) = ln(x)

f^{1}(x)= \frac{1}{x} \\f^{2}(x)= -\frac{1}{x^{2} }\\f^{3}(x)= -\frac{2}{x^{3} }\\f^{4}(x)= \frac{-6}{x^{4} }

.

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Since we need to have it centered at 9, we must take the value of f(9), and so on.

f(9) = ln(9)

f^{1}(9)= \frac{1}{9} \\f^{2}(9)= -\frac{1}{9^{2} }\\f^{3}(x)= -\frac{1(2)}{9^{3} }\\f^{4}(x)= \frac{-1(2)(3)}{9^{4} }

.

.

.

Following the pattern, we can see that for f^{n}(x),

f^{n}(x)=(-1)^{n-1}\frac{1.2.3.4.5...........(n-1)}{9^{n} }  \\f^{n}(x)=(-1)^{n-1}\frac{(n-1)!}{9^{n}}

This applies for n ≥ 1, Expressing f(x) in summation, we have

\sum_{n=0}^{\infinite} \frac{f^{n}(9) }{n!} (x-9)^{2}

Combining ln2 with the rest of series, we have

f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2}  }

Taylor series is f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2}  }

Find out more information about taylor series here

brainly.com/question/13057266

#SPJ4

3 0
1 year ago
ONE HUNDRED POINTS
Over [174]

Answer:

See Below.

Step-by-step explanation:

We are given that ∠A = ∠D, and we want to prove that ΔACB ~ ΔDCE.

Statements:                                    Reasons:

1) \text{ $\angle A=\angle D$}                                    \text{Given}

2) \text{ }\angle BCA=\angle ECD                        \text{Vertical Angles Are Congruent}

3) \text{ } \Delta ACB \sim \Delta DCE                        \text{AA (Angle-Angle) Similarity}

5 0
3 years ago
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The probability of randomly selecting a female from a group of 25 elementary school teachers is . Which of the following describ
nirvana33 [79]

Answer:

it is likely that a female will be picked

Step-by-step explanation:

the probability of selecting a female = 21/25....or 84%

7 0
2 years ago
1 of 3
lara31 [8.8K]

Answer:

a

n

=

2

2

n

−

1

Step-by-step explanation:

hope this helps

3 0
3 years ago
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