I don't understand how to find the negative. Some of these are wrong and just need help finding my errors

Find all solutions in radian [0,2pi) solve 4sinx= -cos^2x +4

Sphinxa [80]

I hope this helps you

-cos²x= sin²x-1

4.sinx = sin²x-1+4

sin²x-4.sinx +3=0

(sinx-3)(sinx-1)=0

sinx≠3

sinx =1

SİN90=1

8 0

3 years ago

You need to find the volume of the plastic sphere that holds the gum in your gumball machine. If the diameter is 2 feet, what is

soldier1979 [14.2K]

For this case we have that by definition, the volume of a sphere is given by:

$V = \frac {4} {3} * \pi * r ^ 3$

Where:

r: It is the radius of the sphere

According to the statement we have to:

$r = \frac {2} {2} = 1 \ft$

So the volume is:

$V = \frac {4} {3} * \pi * (1) ^ 3\\V = \frac {4} {3} * 3.14\\V = 4.186$

Rounding we have that the volume of the sphere is: $4.19 \ ft ^ 3$

Answer:

Option B

4 0

3 years ago

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These tables of values represent continuous functions. In which table do the values represent an exponential function?

vichka [17]

Answer:

The correct option is B.

Step-by-step explanation:

A function is called an exponential function if it has common ratio.

A function is called an linear function if it has common difference.

In option A.

$\frac{f(2)}{f(1)}=\frac{6}{3}=2$

$\frac{f(3)}{f(2)}=\frac{9}{6}=\frac{3}{2}$

$2\neq \frac{3}{2}$

Since the given table has different ratio, therefore it is not an exponential function. Option A is incorrect.

In option B.

$\frac{f(2)}{f(1)}=\frac{6}{2}=3$

$\frac{f(3)}{f(2)}=\frac{18}{6}=3$

$3=3$

Since the given table has common ratio, therefore it is an exponential function. Option B is correct.

In option C.

$\frac{f(2)}{f(1)}=\frac{22}{10}=\frac{11}{5}$

$\frac{f(3)}{f(2)}=\frac{34}{22}=\frac{17}{11}$

$\frac{11}{5}\neq \frac{17}{11}$

Since the given table has different ratio, therefore it is not an exponential function. Option C is incorrect.

In option D.

$\frac{f(2)}{f(1)}=\frac{8}{7}$

$\frac{f(3)}{f(2)}=\frac{9}{8}$

$\frac{8}{7}\neq \frac{9}{8}$

Since the given table has different ratio, therefore it is not an exponential function. Option D is incorrect.

3 0

2 years ago

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Find the area bounded by the curve y = x 1/2 + 2, the x-axis, and the lines x = 1 and x = 4 A. 16 B. 10 2/3 C. 7 1/2 D. 28 1/2

jeka94

To find the area of the curve subject to these constraints, we must take the integral of y = x ^ (1/2) + 2 from x=1 to x=4
Take the antiderivative: Remember that this what the original function would be if our derivative was x^(1/2) + 2
antiderivative (x ^(1/2) + 2) = (2/3) x^(3/2) + 2x
* To check that this is correct, take the derivative of our anti-derivative and make sure it equals x^(1/2) + 2

To find integral from 1 to 4:
Find anti-derivative at x=4, and subtract from the anti-derivative at x=1
2/3 * 4 ^ (3/2) + 2(4) - (2/3) *1 - 2*1
2/3 (8) + 8 - 2/3 - 2 Collect like terms
2/3 (7) + 6 Express 6 in terms of 2/3
2/3 (7) + 2/3 (9)
2/3 (16) = 32/3 = 10 2/3 Answer is B

6 0

3 years ago

What are the solutions of the equation 2x^2=2? Use a graph to the related function.

Annette [7]

2x^2=2
x^2=1
x=+ - 1
now u can make graph

4 0

2 years ago