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Alenkasestr [34]

2 years ago

5

Help me with this plz

1 answer:

laiz [17]2 years ago

8 0

Answer:

The answer is 67 degrees

Step-by-step explanation:

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Aunt Lucille is 15 years older than Shateria. Aunt Lucille is 2 years younger than twice Shanteria's age. How old are Aunt Lucil

Viktor [21]

If l is lucille's age and s is shateria's age then:
$l = s + 15$

and
$l = (s \times 2) - 2$
so that means that
$s + 15 = 2 \times s - 2 \\ s - 2 \times s = - 15 - 2 \\ - s = - 17 \\ s = 17$
and if s=17 then l is:
$l = s + 15 \\ l = 17 + 15 \\ l = 32$

3 0

3 years ago

Here we will study the function f (x) = e ^ x sin (x), where x ∈ [0, 2π]. a) Determine where the function is decreasing and incr

Semmy [17]

fff

$f(x) = e^x sin (x)$

To find increasing and decreasing intervals we take derivative

$f'(x) = e^xsin(x)+e^x(cosx)= e^x(sinx+cosx)$

Now we set the derivative =0 and solve for x

$e^x(sinx+cosx)=0$

sinx + cosx =0

divide whole equation by cos x

$\frac{sinx}{cosx} + \frac{cosx}{cosx} =0$

tanx +1 =0

tanx = 1

$x=\frac{3\pi }{4}$ and $x=\frac{7\pi}{4}$

Now we pick a number between 0 to $\frac{3\pi }{4}$

Lets pick $\frac{\pi }{2}$

Plug it into the derivative

$f'(x) =e^{\frac{\pi }{2}}(sin(\frac{\pi}{2})+cos(\frac{\pi }{2}))$

= 4.810 is positive

So the graph of f(x) is increasing on the interval [0, $x=\frac{3\pi }{4}$ )

Now we pick a number between $\frac{7\pi}{4}$ to 2pi

Lets pick $\frac{11\pi}{6}$

Plug it into the derivative

$f'(x) =e^{\frac{11\pi}{6}}(sin(\frac{11\pi}{6})+cos(\frac{11\pi }{6}))$

= 116 is positive

So the graph of f(x) is increasing on the interval $(\frac{7\pi }{4}, 2\pi)$

Increasing interval is $(0,\frac{3\pi }{4}) U (\frac{7\pi }{4}, 2\pi)$

Decreasing interval is $(\frac{3\pi}{4}, \frac{7\pi}{4})$

(b)

The graph of f(x) increases and reaches a local maximum at $x=\frac{3\pi}{4}$

The graph of f(x) decreases and reaches a local minimum at $x=\frac{7\pi}{4}$

(c)

f(0) = 0

$f(2\pi)=0$

$f(\frac{3\pi }{4})=7.46$

$f(\frac{7\pi}{4})=-172.64$

Here global maximum at $x=\frac{3\pi}{4}$

Here global minimum at $x=\frac{7\pi}{4}$

3 0

3 years ago

Read 2 more answers

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

larisa [96]

Answer: The area is 1,330 inches.

Step-by-step explanation:

Parallelogram Area = base * height

Height = 35

Base = 38

38 * 35 = 1,330

8 0

3 years ago

Read 2 more answers

Divide 1 1/5 ÷ 2/3 plz awser in a mixed number and in simplest form.

katovenus [111]

1 $\frac{4}{5}$

change 1 $\frac{1}{5}$ to an improper fraction = $\frac{6}{5}$

to divide change ÷ to × and turn the divisor upside down

$\frac{6}{5}$ ÷ $\frac{2}{3}$ = $\frac{6}{5}$ × $\frac{3}{2}$

= $\frac{18}{10}$ = $\frac{9}{5}$ = 1 $\frac{4}{5}$

3 0

2 years ago

What does the 6 stand for in 8,375,693.1? 0.6 6 600 6000

bogdanovich [222]

Answer:

The 6 stands for 600

5 0

3 years ago