A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-15x^2+801x-5900

answer: where is the question?

Answer:

16/81

Step-by-step explanation:

Lets break it down

When you see ^4, you are multiplying the base ( 2/3 ) by itself 4 times

So lets write the equation

[tex]\frac{2}{3} *\frac{2}{3} *\frac{2}{3} *\frac{2}{3} = x\\[/tex]

[tex]\frac{4}{9} *\frac{4}{9} =x[/tex]

[tex]\frac{16}{81} =x\\x= \frac{16}{81}[/tex]

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Step-by-step explanation:

hope it is helpful to you

Answer:

GCF= 14

Step-by-step explanation:

For the values 126 and 140

The highest common factor of 126 and 140 is 14

From the question,

We are to determine the highest common factor of 126 and 140

To do this,

We will list out the factors of the numbers

The factors of 126 are

126 - 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, and 126

The factors of 140 are

140 - 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, and 140.

From above, the common factors are 1,2,7 and 14, and 14 is the highest.

Hence, the highest common factor of 126 and 140 is 14

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Answer:

39,739

Step-by-step explanation:

The formula for exponential growth regarding this situation would be y=32600(1+0.02)^10, because 32600 is our initial amount, 1.02 is our growth rate, and 10 is the number of years. after putting it into a calculator you get 39.739.

Answer:

table C

Step-by-step explanation:

We have to try to substitute the x with its value and y with its value. If the equality is satisfied, the points are points of the line

Table A

0 = 0 + 2

0 = 2 false, table A can’t be the answer

Table B

2 = 2 true

4 = 6 + 2

4 = 8 false, table B can’t be the answer

Table C

2 = 2 (true)

8 = 6+2 ; 8=8 (true)

14 = 12 + 2 ; 14= 14 (true)

20 = 18 + 2 ; 20=20 (true)

Answer:

-4/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-10-(-2))/(9-(-1))

m=(-10+2)/(9+1)

m=-8/10

simplify

m=-4/5

Answer:

It should be 115.2 meters^3

Step-by-step explanation:

Volume = 1/3 a^2h

             = 1/3 x 12^2 x 2.4

             = 115.2 m ^3

Answer:

-4;  -3;   -2;   0;  1;   3;

Step-by-step explanation:

Answer:

slope = 3/4

Step-by-step explanation:

(=^w^=)

can do 7-4/-5--9

3/4 woof

The slope of the line represented by the given data points is 3/4.

To find the slope of the line represented by the given data points, we can use the formula for slope:

slope = (change in y) / (change in x)

Let's calculate the changes in y and x using the given data points:

Change in y:

From y = 4 to y = 16, there is an increase of 16 - 4 = 12.

Change in x:

From x = -9 to x = 7, there is an increase of 7 - (-9) = 16.

Now, we can calculate the slope using the formula:

slope = (change in y) / (change in x)

= 12 / 16

= 3 / 4

Therefore, the slope of the line represented by the given data points is 3/4.

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Answer:43090

Step-by-step explanation: Pt=35000*2 3/10

Pt= 43090.0545

Answer:

I believe it's a. I've seen you posting a lot of questions I hope you do good on your resubmission.

Answer:

(11 hrs + 16 hrs)/2 = 13.5 hrs

13.5 hrs /2 = 6.75 hrs

Use the pic and solve the COS x-sin x/COS x+ sin x part

comment if there's something u don't understand

The value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

tanx = 3/4        (x is an acute angle)

[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}-1=\dfrac{4}{3}-1\\\\\rm \dfrac{cosx-sinx}{sinx}=\dfrac{1}{3}\\\\[/tex]  ….(1)

[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}+1=\dfrac{4}{3}+1\\\\\rm \dfrac{cosx+sinx}{sinx}=\dfrac{7}{3}\\\\[/tex]  …(2)  

Divide (1) ÷ (2)

(cosx-sinx)/(cosx+sinx)  = (1/3)/(7/3) = 1/7

Thus, the value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4

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Answer:

i think your answer would be d

Step-by-step explanation:

The trophic level of an organism is the number of steps it is from the start of the chain

Answer:

D)

Step-by-step explanation:

It starts out with a leaf (1st trophic level)

the leaf then gets eaten by the caterpillar (2nd trophic level)

then, the chameleon eats the caterpillar ( 3rd trophic level)

next, the chameleon gets eaten by the snake ( 4th trophic level)

finally, the snake gets eaten by the mongoose ( 5th trophic level)

Therefore, there are 5 trophic levels

Answer:

0.4866 = 48.66% probability that the engine will fail before it is inspected

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

Exponentially distributed with mean 900 hours.

This means that [tex]m = 900, \mu = \frac{1}{900}[/tex]

If the engine is inspected every 600 hours of flight time, what is the probability that the engine will fail before it is inspected?

This is [tex]P(X \leq 600)[/tex], which is:

[tex]P(X \leq 600) = 1 - e^{-\frac{600}{900}} = 0.4866[/tex]

0.4866 = 48.66% probability that the engine will fail before it is inspected

a. 759

b. 8769

c. 96699

d. 36754209

The trick is looking at the first numbers for either possible answer. Pick the one that is the greatest going backward. If you're stuck with the same numbers as in d, just continue going back until you see something like the 7 being greater than the 5.

Lets convert 3 3/4 into improper fraction first.

[tex]3\frac{3}{4} = \frac{3 \times 4 + 3}{4} \\ = \frac{15}{4} [/tex]

[tex] \frac{3\frac{3}{4} }{ \frac{2}{5} } \\ = \frac{15}{4} \div \frac{2}{5} \\ = \frac{15}{4} \times \frac{5}{2} \\ = \frac{75}{6} \\ = \frac{25}{2} \: or12 \frac{1}{2} or \: 12.5[/tex]

Answer:

15

Step-by-step explanation:

The given is a right triangle divided into two parts by a sector

so 3x + 45 = 90 subtract 45 from both sides

3x = 45 divide both sides by 3

x = 15

Answer:

y = 98(w) + 115(18 - w)

Step-by-step explanation:

The expression that represents how much Kevin spends for classes at both schools :  (#credits at Westside)($98) + (#credits at pinewood)($115).   If he takes all credits at Westside this is 18(98) + 0, which would be the lowest cost it could be,  if he takes all credits at Pinewood this would be 0 + (18)(115) which would be the maximum Bob could pay for 18 credits.   If y is the total cost of is courses, then  y = 98(w) + 115(18 - w).  Using the distributive property, this can be simplified.

Answer:

the answer would be x>-7/3

Answer:

Step-by-step explanation:How do we know when a numerical expression is undefined? It is when the denominator equals zero. When we have a denominator that equals zero, we end up with division by zero. We can't divide by zero in math, so we end up with an expression that we can't solve.

To find:

Which of the four expressions are undefined, or not possible to calculate.

Steps:

Lets go through each option one by one

Option A:

[tex]-\frac{0}{2}[/tex] , in this expression a negative zero is divided by 2, we know that zero divided by any number is equal to 0.

[tex]-\frac{0}{2}= -0 = 0[/tex]

Since option A is defined. Now lets go to option B

Option B:

[tex]\frac{3}{6-6}= \frac{3}{0}[/tex]

this expression shows 3 divided by a zero, but dividing any non-zero number by 0 is not possible.

Therefore option B is undefined. We found out the answer but lets continue for learning purposes.

Option C:

0 ÷ 11 = [tex]\frac{0}{11}[/tex]

This expression is similar to the first expression, where zero is divided by any number.

[tex]\frac{0}{11} = 0[/tex]

Therefore option C is defined. Now let continue to option D

Option D:

[tex]\frac{-4+0}{8}= \frac{-4}{8}= \frac{-1}{2}[/tex]

In this expression, the final answer after simplifying is -1/2 which is a number and is possible to calculate

Therefore option D is defined.

Happy to help :)

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Answer:

Hi! The answer to your question is [tex]-3[/tex]

Step-by-step explanation:

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Answer:

The area of the Triangle is 1/2 the area of the Rectangle

The answer is D.

Step-by-step explanation:

Ignore the area of the rectangle for the moment, just so you can get the answer.

Area Triangle = 1/2 * b * h

Area Triangle = 1/2 * 8 * 4

Area Triangle = 1/2 32

Area Triangle = 16 square feet.

The area of the rectangle = L * W

L = 8

W = 4

Area of the rectangle = 8*4 = 32

Angle 4 would equal the given angle in the opposite corner so angle 4 = 32 degrees.

The diagonal line is a bisector so angle 3 = the given angle of 32 and then angle 5 would also be 32 degrees.

The two diagonals are perpendicular so angle 8 would be 90 degrees.

The three inside angles of a triangle need to equal 180 so angle 1 would be 180-90-32 = 58 and angle 2 would also be 58.

Here are all the angles:

1 = 58

2 = 58

3 = 32

4 = 32

5 = 32

6 = 58

7 = 58

8 = 90

Now just pick the correct answers

Answer:

(c) [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA

Step-by-step explanation:

Given

See attachment for triangles

Required

The relationship between both triangles

First, we determine the corresponding sides.

The corresponding sides will be determined based on the length of each side (i.e. bigger sides correspond while smaller sides correspond).

So, we have:

[tex]AC\ to\ EC[/tex]

[tex]BC\ to\ DC[/tex]

Next, is to name the triangle base on the corresponding sides

The names will be: [tex]\triangle ABC[/tex] and [tex]\triangle EDC[/tex]

Lastly, is to check the scale ratio (k).

For both triangles to correspond, the scale ratio must be the same

So:

[tex]k = \frac{EC}{AC} = \frac{DC}{BC}[/tex]

[tex]k = \frac{8}{6} = \frac{12}{9}[/tex]

[tex]k = \frac{4}{3} = \frac{4}{3}[/tex]

[tex]k = \frac{4}{3}[/tex]

Hence, the theorem is: [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA

Answer:

90

Step-by-step explanation:

an obtuse angle is an angle from 90 - 180 degrees, so it would greater than 90 degrees

Answer:

80

Step-by-step explanation:

because 8 is in tens place

so it´s value is 8*10=80