Express this number in scientific notation.
621,000
621,000=
(Use scientific notation. Use the multiplication symbol in the math palette as needed.)

The pizza parlor is technically efficient, but its not allocatively or economically efficient because technically efficient if all supply is used, allocate is if desired demand is met.

Technical efficiency is related to how productive a company can be given this same fewest inputs, as well as resources, required to complete a task.

The concept of economic efficiency is related but distinct. Technical efficiency seeks to minimize inputs, whereas economic efficiency seeks to minimize costs, that might or might not necessitate fewer inputs.

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The complete question is;

A pizza parlor can make 100 pizzas in an evening. They make 40 pepperoni pizzas and 60 extra cheese pizzas. 100 people order pizza, but 50 people would like a pepperoni pizza and 50 would like an extra cheese pizza. This pizza parlor is what?

Technically efficient

allocatively efficient

economically efficient

Answer:

8 quarters equal 2 dollars 11 dimes is a dollar and 10 cents so 3 dollars and 10 cents

Step-by-step explanation:

Answer:4.6 miles for 5 days

Step-by-step explanation:

37 - 14 = 23

23 divided by 5 = 4.6

Answer:4.6 miles

Step-by-step explanation: she has already ridden 14 miles so 5 mroe days is 4.6 miles

Answer:

Density=13g/45cm cubed

Step-by-step explanation:

D=M/V

D=65g/225cmcubed

D=13g/45cm cubed

Answer:

-207

Step-by-step explanation:

t/23 = -9

Multiply both sides by 23 to cancel out the denominator.

23 * (t/23) = (-9) * 23

t = -207

Answer: The name of the algebraic expression is polynomial.

Step-by-step explanation: An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations .

A binomial expression is an algebraic expression which is having two terms, which are unlike. Examples of binomial include 5xy + 8.

similarly;

algebraic expression which is having only one term is known as a monomial. example: 5x,10y.

an expression with more than one term with non-negative integral exponents of a variable is known as a polynomial.

example: 8x³y - 11x²y² + xy³ +17.

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Answer:

Step-by-step explanation:  algebric expression of degree4.

Answer:

0

Step-by-step explanation:

The light must be at a height of 7.07m from the floor for the maximum illumination at P.

How  Distance  is that?

Let I be the illumination at P then according to given conditions,

I =  k cosθ/r²

Where k is constant of proportionality: since

r² = h² + 10²

cosθ = [tex]\frac{h}{\sqrt{h^{2} + 10^{2} } }[/tex]

then

I = k [tex]\frac{h}{( h^{2} + 100)^{3/2} }[/tex]

on differentiating

[tex]\frac{dI}{dh} = k \frac{h^{2} + 100)^{3/2} - 3h^{2 ( h^{2} + 100)^{1/2} } }{( h^{2} + 100)^{3} }[/tex]

[tex]= k \frac{( 100 - 2h^{2}) }{( h^{2} + 100)^{5/2} }[/tex]

[tex]\frac{dI}{dh} = 0[/tex]

gives

that is

h = √50 = 7.07

now

[tex]\frac{d^{2I} }{dh^{2} } = k \frac{( 6h^{3} - 900h }{( h^{2} +100)^{7/2} }[/tex]

for h = 7.07

[tex]\frac{d^{2}I }{dh^{2} } = - 10267.6[/tex]

then by second derivative test,I has a maximum ath=7.07

Hence the light must be at a height of 7.07m from the floor for the maximum illumination at P.

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Answer:

5:45

...................................

Answer:

the time is 5:45 PM according to that watch

Answer:

26%

Step-by-step explanation:

Number of seats by 6th graders / Number of seats in total × 100% = Percentage of seats by 6th graders

442/1700 × 100% = 26%

Hope this helps! ^^

The equation of the line is x = 25, in accordance with the given conditions.

Given:

To find: Equation of the line.

Finding:

Let the equation of the line be: (y - y') = m (x - x'),

where, (x',y') = point through which the line passes and m = slope of the line.

The slope of the first line = [tex]\frac{1}{0}[/tex] , i.e., the y-intercept of this line does not exist and it is a vertical line.

Hence, the equation of the line is 0 = 1 (x - x')

Thus, the equation of the line => 0 = 1 (x - 25)

=> x = 25.

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Answer:

320

Step-by-step explanation:

Plug the 4 into x and go from left to right:

4 times 4 is 16 times 20 is 320

Peyton needs to buy at least 45 sets for the restaurant to have enough forks.

Let the number of sets of forks be represented by 'x'. according to the question there are 10 forks in each set.

Since there are currently 287 forks available in the restaurant, and the restaurant needs at least 732 forks.

The inequality used to represent the given scenario is given by:

10x + 287 ≥ 732

10x ≥ 445

x ≥ 44.5

As Peyton cannot buy 44.5 sets of forks so we round it off to 45.

Therefore, he requires 45 sets in total.

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Answer:

81

Step-by-step explanation:

81 is a perfect square, and also ends with 1.

Answer:

37

Step-by-step explanation:

Evaluate 40-15/t for t=5 step by step

first, remember PEMDAS

substitute in 5 for t

40-15/5

since division (D) comes before subtraction (S) in PEMDAS, we divide first

15/5 is 3

we are left with

40-3

if we subtract, we are left with

37

Answer:

37

Step-by-step explanation:

PEMDAS

Parenthesis

Exponents

Multiply          

Divide

Add

Subtract

^

This is the order you should complete your problem in...

Answer:

No one can answer this

Step-by-step explanation:

You need to add a picture or something because we need more information. This could be a graph, a number line, etc.

Answer:

(Image 1)

d(A,C)=10d(C,B)=8

d(A,B)=d(A,C)+d(C,B)=10+8=18

(Image 2)

AB=AC−BC

=10−8=2

Step-by-step explanation:

Answer:

Question? where is a question...that is a statement

Answer:

-63, -90, -1924. -|63|, etc

Step-by-step explanation:

Answer:

Please see the picture below.  You were on the right track.  You were just off in letter A.

Step-by-step explanation:

Answer:

Step-by-step explanation: i bet your ray r stands for g

The correlation is a significant non-zero value.

The number of samples is n.

n = 25

The correlation of the coefficient is r.

r = -0.40

When correlation is significant,

[tex]H _{0} : p = 0[/tex]

When correlation is non-zero,

[tex]H _{ \alpha } : p ≠0[/tex]

The test statistic is,

[tex]TS = \frac{r \times \sqrt{n - 2} }{ \sqrt{1 - r {}^{2} } } [/tex]

[tex] = \frac{0.4 \times \sqrt{25 - 2} }{ \sqrt{1 - ( - 0.4) ^{2} } } [/tex]

[tex] = \frac{ - 1.918 }{ \sqrt{0.84} } [/tex]

= -2.093

The test statistic is -2.093.

The correlation is,

[tex]H _{ \alpha } : - 2.93 ≠0[/tex]

The correlation is not equal to zero and is significant.

Therefore, the correlation is a significant non-zero value.

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Answer:

Step-by-step explanation:

Answer: 14/15

Step-by-step explanation:

[tex]9x=10x-x[/tex]

Divide both parts of the equation by 9:

[tex]\displaystyle\\x=\frac{10x-x}{9}\\\\x=0,9333333...\\\\Hence,\\\\x=\frac{10*0,933333...-0,9333333...}{9} \\\\x=\frac{9,333333...-0,933333...}{9} \\\\x=\frac{8,4}{9} \\\\x=\frac{8,4*10}{9*10} \\\\ x=\frac{84}{90}\\\\x=\frac{14*6}{15*6} \\\\ x=\frac{14}{15}[/tex]

The volume of the box in terms of x will be :   [tex]\frac{50x-x^{3} }{2} cm^{3}[/tex]

We know, Total surface area of a cuboid is: 2(l*b + b*h + h*l)

and it is given that TSA is 100cm^2, the length of the base which is in a square shape is x. So, length l = breadth b = x, and taking height h = y

We need to find out the value of y for finding out the volume of the box.

Putting these values in the formula for TSA,

             => 2(x*x + x*y + x*y) = 100

             => 2(x^2 + 2xy) = 100    =>  y = (50-x^2)/2x

Put this value of y in the formula for volume.

The volume of Cuboid is : l*b*h

            =>  x*x*{(50-x^2)/2}       =>  x^2{(50-x^2)/2x}

             =>   (50x - x^3)/2

Hence, the volume for the box is   [tex]\frac{50x-x^{3} }{2} cm^{3}[/tex]

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Answer:

8:10, 12:15

Step-by-step explanation:

Answer:  [tex]\text{y} = \frac{7}{3}\text{x}-\frac{2}{3}[/tex]

This is the same as writing y = (7/3)x - 2/3

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

Explanation:

The given equation is in y = mx+b form

m = -3/7 = slope

b = 4 = y intercept

Flip the fraction for the slope to get -7/3, and flip the sign from negative to positive to get 7/3

The original slope is -3/7 and the perpendicular slope is 7/3. These two slopes multiply to -1.

We want the perpendicular line to go through [tex](\text{x}_1,\text{y}_1) = (2,4)\\\\[/tex]

We'll use the point-slope form to get...

[tex]\text{y} - \text{y}_1 = \text{m}(\text{x}-\text{x}_1)\\\\\text{y} - 4 = \frac{7}{3}(\text{x}-2)\\\\\text{y} - 4 = \frac{7}{3}\text{x}+\frac{7}{3}(-2)\\\\\text{y} - 4 = \frac{7}{3}\text{x}-\frac{14}{3}\\\\\text{y} = \frac{7}{3}\text{x}-\frac{14}{3}+ 4 \\\\\text{y} = \frac{7}{3}\text{x}-\frac{14}{3}+ \frac{12}{3} \\\\\text{y} = \frac{7}{3}\text{x}+\frac{-14+12}{3} \\\\\text{y} = \frac{7}{3}\text{x}-\frac{2}{3} \\\\[/tex]

This equation has a slope of 7/3 and y intercept of -2/3.

Answer:

90/49

Step-by-step explanation:

you want to convert 2 2/14 into 30/14 (2 x 14 is 28, 28 + 2=30)
reduce 30/14 into 15/7 by dividing by 2
multiply 6 x 15 and 7 x 7
90/49 is the answer and you cannot reduce it so that's the answer

The coordinates of the new triangle are P' = (5, 3), K' = (3, 1) and Y' = (1, 4)

The coordinates of the triangle in the figure are

P = (-5, -3)

K = (-3, -1)

Y = (-1, -4)

The transformation is given as 180 degrees rotation

The rule of this transformation is

(x, y) = (-x, -y)

When this is applied on the triangle, we have the coordinates of the new triangle to be

P' = (5, 3)

K' = (3, 1)

Y' = (1, 4)

Hence, the coordinates of the new triangle are P' = (5, 3), K' = (3, 1) and Y' = (1, 4)

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The domain at which the function f(x) = x² - 4•x + 2, and the inverse of the function, f(x), is given by the option;

The given function is f(x) = x² - 4•x + 2.

The points through which the parabola passes are;

The inverse of the function is found as follows;

f(x) = x² - 4•x + 2

The standard form of a quadratic equation is f(x) = a•(x - h)² + k

Where;

(h, k) = The coordinates of the vertex

a = The coefficient of x²

Comparing, we have;

(h, k) = (2, -2)

a = 1

Which gives;

f(x) = x² - 4•x + 2 = (x - 2)² - 2

f(x) = (x - 2)² - 2

Let f(x) = y

y = (x - 2)² - 2

y + 2 = (x - 2)²

x - 2 = √(y + 2)

x = √(y + 2) + 2 = 2 + √(y + 2)

x = 2 + √(y + 2)

Therefore, f(x) has an inverse when y > -2, which gives;

The domain where f(x) has an inverse is x > 2, given that the expression, 2 + √(y + 2), is always positive.

The inverse of the function is obtained by changing x to [tex] f^{-1}(x) [/tex] and y to x in the equation, x = 2 + √(y + 2), to give;

The correct option is therefore;

x > 2, f superscript negative 1 Baseline (x) = 2 + StartRoot x + 2 EndRoot

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Answer:

Its D.x > 2; f Superscript negative 1 Baseline (x) = 2 + StartRoot x + 2 EndRoot

Step-by-step explanation: