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2 years ago

NEED HELP ASAP, TEST!! Solve the equation 2 cos (x) +1=0,0 ≤ x ≤ 2pi. Show all of your work.

Mathematics

1 answer:

Viefleur [7K]2 years ago

3 0

Answer: $cos(x) = -\frac{1}{2}$

Work:

1. Subtract 1 from both sides

$2cos(x)+1-1=0-1$

2. Simplify

$2cos(x)=-1$

3. Divide both sides by 2

$\frac{2cos(x)}{2}=\frac{-1}{2}$

4. Simplify

$cos(x)=-\frac{1}{2}$

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If I have five gallons of paint and I used 3/4 of the five gallons how much do I have left over

Yuliya22 [10]

Answer:

4.25

Step-by-step explanation:

5-3/4=4.25

4 0

3 years ago

Grumpy Corp drug tests all of the recent college graduates it hires each year. The drug test currently used correctly determines

Vedmedyk [2.9K]

Answer:

Hence, the probability of a Negative test is $P(T^C)=0.5904$ .

Step-by-step explanation:

(a)

Let $D=$ Drug user and $T=$ Test positive

Probability of drug users $P(D)=36\%=0.36$

$P(\frac{T}{D})=96\%=0.96$

$P(\frac{T^c}{D^c})=90\%=0.90$

(b)

Find the Probability of a Negative test,

$P(T^C)=P(\frac{T^C}{D^C})\cdot P(D^C)+P(\frac{T^C}{D})\cdot P(D)$

$\Rightarrow P(T^C)=0.9\cdot(1-0.36)+(1-0.96)\cdot 0.36$

$\Rightarrow P(T^C)=0.9\cdot 0.64+0.04\cdot 0.36$

$\Rightarrow P(T^C)=0.576+0.0144$

$\Rightarrow P(T^C)=0.5904$

4 0

3 years ago

Pls help me answer 2.2.3 and 2.2.4 (2.2.4 needs to be converted) ill give brainstorm

Anarel [89]

$\bold{\huge{\underline{ Solution }}}$

<h3>Analysis of graph :-</h3>

We have given one graph which is plot between distance and time. where time is in minutes and distance is in seconds.

According to the graph

For the first 5 minute ( O to A) , The distance is continously increasing 2m / per minute .
For the 5 minute that is from 5 minute to 13 minute ( A to B) both marellize and her dog wally moving with the constant speed .
For next 3 minutes that is from 10 minutes to 13 minutes ( B to C) , The distance is continously decreasing with time .
For next 3 minutes that is from 13 to 16 minutes ( C to D) , Again they moved with constant speed .
For next 6 minute that is from 16 to 21 minutes ( D to E) . Again, There distance is increasing with time .
Again For next 4 minutes that is 21 to 25 minutes , they are moving with constant velocity .

<h3>Let's Begin :-</h3>

1) Between O and A

The marellize and wally when moving between O to A , The distance is constantly increasing with time.
The graph is Straight line

2) Between A and B

The marellize and wally when moving between A to B, The distance remains the same with time that is they moving with constant speed.
The graph is constant or steady

3) Between B to C

The marellize and wally when moving between B to C, The distance is constantly decreasing with time .
The graph is straight line but it follows decreasing function .

4) For covering the First 6 km ,

According to the graph,

For covering first 6 km, They took 3 minutes.

5) No, Marellize and wally walk does not from where they have started.

According to the graph

It is end at 5 m instead of 0m .

3 0

3 years ago

A child’s wading pool has a diameter of 5 feet and a height of 2 feet. How much water would it take to fill the pool?

Svetradugi [14.3K]

Answer:

12.5π or ≈39.27

Step-by-step explanation:

The formula for finding the volume is V=πr^2*d (where h is the height and r is the radius).

Plug in the values: V=π(2.5)^2*2 (Diameter=2*Radius)

Solve: V=6.25π*2

V=12.5π

V≈39.27

3 0

3 years ago

I need help please i really need help

zhannawk [14.2K]

Hello there!

Here's what definitions I think match up with each term:

Equilateral triangle: a triangle with three congruent sides
Composite figure: a figure made up of two or more three dimensional figures
Parallelogram: a quadrilateral with opposite sides both parallel and congruent
Volume: the amount of space within a three dimensional figure
Rectangular prism: a three dimensional figure with six rectangular faces, twelve edges, and eight vertices
Regular polygon: a polygon with 5 sides
Triangular prism: a prism with two congruent triangular based
Obtuse triangle: a triangle with one obtuse angle
Face: a flat surface of a three dimensional figure
Polygon: a polygon with congruent sides/congruent angles
Square: a closed figure made up of line segments that do not cross each other

Hope this helped you out! :-)

6 0

4 years ago

NEED HELP ASAP, TEST!! Solve the equation 2 cos (x) +1=0,0 ≤ x ≤ 2pi. Show all of your work.​

NEED HELP ASAP, TEST!! Solve the equation 2 cos (x) +1=0,0 ≤ x ≤ 2pi. Show all of your work.