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2 years ago

6. Estimate by clustering: 56.9, 63.2, 59.3, 61.1 A. 240.0 B. 200.0

Mathematics

2 answers:

Andre45 [30]2 years ago

7 0

B!!!!!!!!!! The answer is 200

EXPLANATION

Added sum is estimated to 200

prisoha [69]2 years ago

5 0

B. aka 200.0 :) (hope it gets easier)

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how to integrate <img src="https://tex.z-dn.net/?f=e%5E%7B2s%7D%20%2ACos%20%5Cfrac%7Bs%7D%7B4%7D" id="TexFormula1" title="e^{2s}

icang [17]

Answer:

$\int\limits {e^{2s} cos\frac{s}{4} ds$ = $\frac{4 e^{2s} }{65 } ({8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s} ))$

Step-by-step explanation:

Step(i):-

Given that $f(s) = e^{2s} cos\frac{s}{4}$

Now integrating

$\int\limits {f(s)} \, ds = \int\limits {e^{2s} cos\frac{s}{4} ds$

By using integration formula

$\int\limits { e^{ax} cos b x dx = \frac{e^{ax} }{a^{2}+b^{2} } ( a cos b x + b sin b x )$

Step(ii):-

$\int\limits {e^{2s} cos\frac{s}{4} ds$ = $\frac{e^{2s} }{(2)^{2}+(\frac{1}{4}) ^{2} } ( 2 cos (\frac{1}{4} ) s + \frac{1}{4} sin \frac{1}{4} s ))$

= $\frac{e^{2s} }{(4+\frac{1}{16})} ( 2 cos (\frac{1}{4} ) s + \frac{1}{4} sin \frac{1}{4} s ))$

= $\frac{e^{2s} }{(\frac{65}{16} } ( \frac{8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s}{4} ))$

= $16 X\frac{e^{2s} }{65 } ( \frac{8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s}{4} ))$

= $\frac{4 e^{2s} }{65 } ({8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s} ))$

Final answer:-

$\int\limits {e^{2s} cos\frac{s}{4} ds$ = $\frac{4 e^{2s} }{65 } ({8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s} ))$

6 0

2 years ago

Triangle ABC is congruent to triangle XYZ. Angle A measures 50 degrees, angle B measure 2x+40 degrees, and angle Z measures 4x+8

stiv31 [10]

Angle Z is congruent to angle C, so angle C measures 4x+8
the sum of the three angles of a triangle is 180, so
50+2x+40+4x+8=180
6x++98=180
6x=82
x≈13.67

3 0

2 years ago

Technology required. A function f gives the number of stray cats in a town t years since

8090 [49]

This means that the number of stray cats in a town when the town started the animal control program is 729.

<h3>Exponential function</h3>

An exponential function is given by:

y = abˣ

Let y, x are variables, a is the initial value and b is the multiplication factor.

Where f is the number of stray cats in a town t years since the town started an animal control program.

Since $f(t) = 729(\frac{1}{3} )^t$

f(0) = 729(1/3)° = 729

This means that the number of stray cats in a town when the town started the animal control program is 729.

Find out more on Exponential function at: brainly.com/question/12940982

4 0

2 years ago

2. The weekly profit function of a company that produces unicorn widgets is P(x)=-0.01x² + 3x-50000, where x is the number of un

sergeinik [125]

Answer:

300

Step-by-step explanation:

I think its 300 but if I'm wrong then XD I Don't know

8 0

1 year ago

What side do DEC and EDB have in common?

pav-90 [236]

Answer:

DE is the common side in the two triangles

Explanation:

The side of the triangle is named based on its start and end points

A triangle is named based on its three vertices where each two vertices would join forming a side

For ΔDEC, the sides are:

DE, EC and DC

For ΔEDB, the sides are:

ED, DB and EB

By comparing the two triangles, we would find that DE is the common side in both triangles

Note: The visual illustration is in the attached image

Hope this helps :)

7 0

2 years ago

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