Name a possible solution to the riddle. Explain or show how you know.

Please Help POINTS: 15 (look at the screenshot below)

lord [1]

D: 2/1

EXPLANATION:
Jacob has 8

Antonio has 4.

8/4 is the ratio

8/4 can be simplified to 2/1

Hope this helps!

6 0

3 years ago

What basic trigonometric identity would you use to verify that sinx cosx tanx=1-cos^2x

andre [41]

Answer:

$sin^2x+cos^2x=1$ is used to prove the given equation.

Step-by-step explanation:

We have given an equation:

$sinx\cdot cosx\cdot tanx=1-cos^2x$

We will consider right hand side first

tan x can be written as:

$tanx=\frac{sinx}{cosx}$

So, on substituting tan x in the left hand side of the given equation we get:

$sinx\cdot cosx\cdot \frac{sinx}{cosx}$

Cancel common term from denominator and numerator which is cosx we get

$sin^2x$

And we have an identity:

$sin^2x+cos^2x=1$

$\Rightarrow sin^2x=1-cos^2x$

Hence, right hand side is equal to $sin^2x$ .

5 0

3 years ago

Read 2 more answers

Suppose <br> f '(x) = xe^−x^2

iogann1982 [59]

<h3>Answers:</h3>

(a) The function is increasing on the interval (0, infinity)
(b) The function is decreasing on the interval (-infinity, 0)

=======================================================

Explanation:

You should find that the derivative is entirely negative whenever x < 0. This suggests that the function f(x) is decreasing on this interval. So that takes care of part (b).

The interval x < 0 is the same as -infinity < x < 0 which then translates to the interval notation (-infinity, 0)

Similarly, you should find that the derivative is positive when x > 0. So the function is increasing on the interval (0, infinity)

6 0

3 years ago

Determine if the sequence is arithmetic. If it is, find the common difference. Is the sequence a function ?

BaLLatris [955]

$6)\\r=a_{n+1}-a_n\to r=a_2-a_1=a_3-a_2=a_4-a_3=...\\\\a_1=-7;\ a_2=-10;\ a_3=-11;\ a_4=-13\\\\a_2-a_1=-10-(-7)=-10+7=-3\\a_3-a_2=-11-(-10)=-11+10=-1\\\\a_3-a_2\neq a_2-a_1\\\\\text{It's not an arithmetic sequence}$

$\r=\dfrac{a_{n+1}}{a_n}\\\\r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...\\\\8.)\\a_1=4;\ a_2=20;\ a_3=100;\ a_4=500\\\\r=\dfrac{20}{4}=\dfrac{100}{20}=\dfrac{500}{100}=5\\\\10.)\\a_1-30;\ a_2=-45;\ a_3=-50;\ a_4=-65\\\\\dfrac{a_2}{a_1}=\dfrac{-45}{-30}=\dfrac{3}{2}\\\\\dfrac{a_3}{a_2}=\dfrac{-50}{-45}=\dfrac{10}{9}\\\\\dfrac{a_2}{a_1}\neq\dfrac{a_3}{a_2}\\\\\text{It's not a geometric sequence}$
$12.)\\a_1=-7;\ a_2=-14;\ a_3=-21;\ a_4=-28\\\\\dfrac{a_2}{a_1}=\dfrac{-14}{-7}=2\\\\\dfrac{a_3}{a_2}=\dfrac{-21}{-14}=\dfrac{3}{2}\\\\\dfrac{a_2}{a_1}\neq\dfrac{a_3}{a_2}\\\\\text{It's not a geometric sequence}\\\\\text{It's a function}$

8 0

3 years ago

The equation to model Exponential Growth is:

abruzzese [7]

Your salary in x years is modeled an the exponential growth

The equation that determines your salary in x years is y = 45000(1.05)^x

<h3>How to model the salary growth?</h3>

The model of the exponential growth is given as:

y = a(1 + r)^x

From the question, we have:

Initial salary, a = 45000

Raise, r = 5%

So, the equation becomes

y = 45000(1 + 5%)^x

Evaluate the sum

y = 45000(1.05)^x

Hence, the equation that determines your salary in x years is y = 45000(1.05)^x

Read more about exponential functions at:

brainly.com/question/11464095

5 0

2 years ago