The revenue, in dollars, of a company that manufactures televisions can be modeled by the polynomial 3x²+180x . The cost, in dollars of producing the televisions can be modeled by 3x² - 160x +300. The variable x is the number of televisions sold. If 150 televisions are sold, what is the profit?

Answer:

y = 1/27

Step-by-step explanation:

[tex]y^{\frac{-2}{3}} = 9\\[/tex]

Cube both sides

[tex](y^{\frac{-2}{3}})^{3}=9^{3}\\\\y^{\frac{-2}{3}*3}=9*9*9\\\\y^{-2}=729\\\\\frac{1}{y^{2}}=729\\\\1=729*y^{2}\\\\\frac{1}{729}=y^{2}\\[/tex]

[tex]y^{2}=\frac{1}{27^{2}}\\\\y^{2}=(\frac{1}{27})^{2}\\[/tex]

y = 1/27

Answer:

30 quarts

Step-by-step explanation:

4 quarts = 1 gallon

7.5 gallons * 4 quarts/ 1 gallon = 30 quarts

Answer:

D

Step-by-step explanation:

5:2::20:4::30:6::40:8

20/4 is 5

30/6 is 5

40/8 is 5

Answer:

x+y=3

Step-by-step explanation:

For an equation to have no solution, their slope needs to be same and y intercept needs to be different,

so in this case where x+y=2

doing simply, x+y=3 makes a set of equation which has no solution, you can take any real value which is not 2

Answer:

1

Step-by-step explanation:

K(x)=5^(x+2)

Let x = -2

K(-2)=5^(-2+2)

       = 5^0

      = 1

Answer:

k(- 2) = 1

Step-by-step explanation:

Substitute x = - 2 into k(x) , that is

k(- 2) = [tex]5^{-2+2}[/tex] = [tex]5^{0}[/tex] = 1 [ [tex]a^{0}[/tex] = 1 ]

An exterior angle of a triangle is equal to the sum of its interior opposite angles.

⇛ x = 90° + 46°

⇛ x = 136°

Answer:

x=8/7-y/7

Step-by-step explanation:

Answer:

A is the answer

Step-by-step explanation:

the center of the circle is (-2,-1) so you're going to reverse their signs and insert that value in for x and y. the radius is 5, but the equation of a circle is

[tex]x ^{2} + {y}^{2} = {r}^{2} [/tex]

so you're going to square the radius, this making it 25.

Answer:

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

[tex]4^3+4^2+2^2= 64+16+4=84[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{4^3 + 4^2 + 2^2}}[/tex]

[tex]\huge\boxed{\mathsf{4^3}}[/tex]

[tex]\huge\boxed{\mathsf{= 4 \times 4 \times 4}}[/tex]

[tex]\huge\boxed{\mathsf{= 16\times 4}}[/tex]

[tex]\huge\boxed{\mathsf{= \bf 64}}[/tex]

[tex]\huge\boxed{\mathsf{4^2}}[/tex]

[tex]\huge\boxed{\mathsf{= 4 \times 4}}[/tex]

[tex]\huge\boxed{\mathsf{= \bf 16}}[/tex]

[tex]\huge\boxed{\mathsf{2^2}}[/tex]

[tex]\huge\boxed{\mathsf{= 2 \times 2}}}[/tex]

[tex]\huge\boxed{\mathsf{= \bf 4}}[/tex]

[tex]\huge\boxed{\mathsf{= 64 + 16 + 4}}[/tex]

[tex]\huge\boxed{\mathsf{= 80 + 4}}[/tex]

[tex]\huge\boxed{\mathsf{= \bf 84}}[/tex]

[tex]\huge\boxed{\mathsf{Answer: 84}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

x is 3

Step-by-step explanation:

[tex]{ \bf{U _{2} - U _{1} = U _{3} -U _{2} }}[/tex]

[tex]{ \tt{3x - (x + 2) = (4x + 1) - 3x}} \\ { \tt{2x - 2 = x + 1}} \\ { \tt{x = 3}}[/tex]

Answer:

value of x is 6

Step-by-step explanation:

got it right on edgenuit

Answer:

1) [tex](\sqrt{25})^{2}[/tex]

------------

2)

-------------

3)

[tex](\frac{49}{64} )^{1/2}[/tex]

→ [tex][\frac{7^{2} }{8^{2} } ]^{1/2}[/tex]

→ [tex][\frac{7}{8} ]^{2\times 1/2}[/tex]

→ [tex]\frac{7}{8}[/tex]

------------

4)

[tex]\sqrt[3]{\frac{27}{125} }[/tex]

[tex]\frac{\sqrt[3]{27} }{\sqrt[3]{125} } =\frac{\sqrt[3]{3^{3} } }{\sqrt[3]{5^{5} } }[/tex]

[tex]=\frac{3}{5}[/tex]

--------------

5)

[tex]32^{1/5}[/tex]

[tex]=(2^{5} )^{1/5}[/tex]

[tex]=2^{5\times1/5}[/tex]

[tex]=2[/tex]

--------------

OAmalOHopeO

Answer:

22.8

Step-by-step explanation:

I just did the math :)

The mean of a given set of data is 22.8.

Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

Given the set of observations as :

{21.6, 25, 20.6, 24.6, 20.3, 25.2, 22.8, 24.1, 22.5, 22.5, 22.6, 22, 24.6, 23.6, 23.5, 22, 24.4, 20.9, 21.4, 20.5, 23.2}

Here, n = 21

⇒ ∑x = Sum of Observations

⇒ ∑x = 478.8

Mean = ∑x/n

Mean = 478.8/21

Mean = 22.8

Hence, the mean of the given data is 22.8.

Learn more about what Arithmetic means here:

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Cost of 1 kg = $9

So, cost of 5 kg = $9 × 5 = $45

Answer:

Step-by-step explanation:

0 should never be used as a substitute for θ!

(√2/2, √2/2) = (cos(45°), sin(45°))

The value of θ if 0°< 0<360° on a unit circle where the terminal point of 0 is (√2/2, √2/2), is 45°.

The terminal point of a circle is defined as the measure of the angle in degrees or radians over the circle, at the endpoint on the coordinate plane.

On a unit circle, the terminal point of θ is,

(√2/2, √2/2) = (cos(45°), sin(45°))

The value of theta at the terminal point (square root of 2/2, square root of 2/2) is 45 degrees.

Thus, the value of θ if 0°< 0<360° on a unit circle where the terminal point of 0 is (square root of 2/2, square root of 2/2) is 45°.

Learn more about the terminal point here;

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Answer:

$2875

Step-by-step explanation:

If the member ship costs 25 a month multiply it by 100 to find the amount of money made last month so 100*25=2500 to find the new amount take 100 add 40 and subtract 15 to find the number of people subscribed which is 115 multiply by 25 to get the total profit of 2875.

Answer:

it isn't the equation so it can't be any roots...

Step-by-step explanation:

[tex](2+1)^2+2=10-6\\4+4+1+2=10-6\\11\neq 4[/tex]

It depends a lot on where you live. But I would assume the answer is apples. I hope this helps you out and have a nice day! :)

Step-by-step explanation:

In geometry, a transversal is a line that intersects two or more other (often parallel ) lines. In the figure below, line n is a transversal cutting lines l and m . When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles

Answer:

13, 200 feet or 158,400 inches  are in 2.5 miles

Step-by-step explanation:

5,280 feet * 2.5 miles= 13,200 feet

Answer:

Step-by-step explanation:

Since round to the nearest one is too vague, i'll give everything this can be rounded too

Rounded to the nearest whole number

0.741 = 1

Rounded to the nearest tenth

0.741 = 0.7

Rounded the the nearest hundreth

0.741 = 0.74

Hopefully this helps

Answer:

x = 15.8

Hope this helps...Have a good day!!

Answer:

8r+8pg-pq

Step-by-step explanation:

The subtractable pg cancels out one of the 9 pg's. So 9 pg-1 pg= 8 pg

Hope this helps!

Answer:

x = 7 e y = -24

Step-by-step explanation:

The equation of the circle that has its centre at (7, -24) and passes through the origin is (x - 7)² + (y + 24)² = 625.

A circle can be characterized by its centre's location and its radius's length.

Let the centre of the considered circle be at (h,k) coordinate and the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x-h)²+(y-k)²=r²

The equation of a circle is given as (x-h)²+(y-k)²=r², where (h,k) is the coordinate of the centre of the circle, and r is the radius of the circle.

Since the given circle is needed to pass through the origin and the coordinates of the centre of the circle are (7, -24). Therefore, the distance between the origin and (7, -24) will the radius of the circle.

Therefore, the radius of the circle will be,

Radius = √[(7-0)² + (-24 - 0)²]

           = √(49 + 576)

           = √(625)

           = 25

Now, the equation of the circle that is centred at (7, -24) and has a radius of 25 units is,

(x - h)² + (y - k)² = r²

[x - 7]² + [y - (-24)]² = (25)²

(x - 7)² + (y + 24)² = 625

Hence, the equation of the circle that has its centre at (7, -24) and passes through the origin is (x - 7)² + (y + 24)² = 625.

Learn more about the Equation of a circle here:

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Answer:

see explanation

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{1}{a^{m} }[/tex] ⇔ [tex]a^{-m}[/tex]

64 = [tex]2^{6}[/tex] , then

[tex]2^{p}[/tex] = [tex]\frac{1}{64}[/tex] = [tex]\frac{1}{2^{6} }[/tex] = [tex]2^{-6}[/tex]

Since the bases on both sides are equal, both 2, then equate exponents

p = - 6

Answer: B) 3 × 3 × 3 × 3 × 3

Concept:

In factorization, the easiest way is to divide the term multiple times by the least factor each time until the answer is not divisible. Then, multiply all the factors and the remainder together to get the factorization of a term.

Solve:

243 ÷ 3 = 81

81 ÷ 3 = 27

27 ÷ 3 = 9

9 ÷ 3 = 3

3 ÷ 3 = 1

Therefore, the prime factorization of 243 = 3 × 3 × 3 × 3 × 3

Hope this helps!! :)

Please let me know if you have any questions

Answer:

B

Step-by-step explanation:

how could it not be??

Answer:

18 kilometres

Step-by-step explanation:

Speed of the car is 72 kilometres per hour

means the car runs 72 kilometers within 60 minutes

so, the car will travel in 15 mins,

72×15/60

= 72/4 = 18 kilometres

Answer:

36 is the median of give data

Answer:

I think A

Step-by-step explanation:

Answer:

A

Step-by-step explanation: