Consider the same rectangle of the preceding 8 units. Squares of x by x units are cut out of each corner, and then the sides are folded up to create an open box. Express the volume of the box as a polynomial function in terms of x problem. Squares of 2x by 2x units are cut out of each corner. Express the volume of the box as a polynomial in terms of x.

Answer:

Y(x) = 10x - 2600

Profit= RS. 1000

Step-by-step explanation:

Amount sold per item=RS. 50.

Cost of manufacturing= RS. 36.5

Distributor charges= Rs 3.5

Daily over head charge= RS.2600

Profit function Y (x)

Y (x) =x(50) -36.5(x) -3.5(x)-2600

Y(x) = (50-36.5-3.5)x-2600

Y(x) = 10x - 2600

If x= 360

Profit Y = 10(360) - 2600

Profit Y = 3600-2600

Profit = 1000

Profit= RS. 1000

Answer: 192  books

Step-by-step explanation:

2/3 + 1/4 = 11/12

16 remaining books = 1/12

16 x 11 = 176

176 + 16=192

Answer:

ksdljfdacnkjdsfhbjfjkn

Step-by-step explanation:

Answer:

13.36

Step-by-step explanation:

I will first create a table

X. Y. XY. X²

1. 20. 20. 1

2. 24. 48. 4

3. 35. 105. 9

4. 46. 184. 16

5. 67. 335. 25

6. 80. 480. 36

1. 12. 12. 1

2. 34. 68. 4

3. 34. 102. 9

5. 78. 430. 25

ΣX = 32

ΣY = 430

ΣXY = 1744

ΣX² = 130

n = 10

The formula for regression line is given as :

Y = a + bX

a = intercept

b = slope

The question requires us to find b which is the slope.

b = nΣXY-ΣXΣY/nΣX²-(ΣX)²

= 10x1744-32x430/10x130-(32)²

= 17440-13760/1300-1024

= 3680/276

= 13.36

b = 13.36

Answer:

see explanation

Step-by-step explanation:

Given a quadratic equation in standard form, ax² + bx + c = 0 ( a ≠ 0 )

Then the discriminant Δ = b² - 4ac informs us about the nature of the roots.

• If b² - 4ac > 0 then 2 real and distinct roots ( solutions )

• If b² - 4ac = 0 then 2 real and equal roots

• If b² - 4ac < 0 then roots are not real

Given

3x² - 6 = 2x ( subtract 2x from both sides )

3x² - 2x - 6 = 0 ← in standard form

with a = 3, b = - 2, c = - 6 , thus

b² - 4ac = (- 2)² - ( 4 × 3 × - 6) = 4 - (- 72) = 4 + 72 = 76

Since b² - 4ac > 0 then the solution is 2 real and distinct roots

Answer:

5.

Step-by-step explanation:

24.5 is close to 25 and 25 * 1/5 = 5.

I hope this helps you. Plz mark me as the brainliest.

Answer:

-2x + 7/5

Step-by-step explanation:

(7-10x)/5

= [tex]\frac{-10x}{5}[/tex] + [tex]\frac{7}{5}[/tex]

= -2x + 7/5

Answer:

Explained below.

Step-by-step explanation:

(a)

It is provided that the price function for 1000 TVs is,

p (1000) = 400.

Also provided that if rebate of $10 is given then sale increases by 100 per week.

Let x be the number of unit sold per week then (x − 1000) is the increase in the number  of units sold.

Then the price function is:

[tex]p(x)=400-\frac{1}{10}(x-1000)[/tex]

       [tex]=400-\frac{x}{10}+100\\\\=500-\frac{x}{10}[/tex]

Thus, the demand function is, [tex]p(x)=500-\frac{x}{10}[/tex].

(b)

The revenue function is:

[tex]R(x)=x\cdot p(x)[/tex]

        [tex]=x[500-\frac{x}{10}]\\\\=500x-\frac{x^{2}}{10}[/tex]

Maximize the revenue as follows:

      [tex]\frac{d}{dx}(R(x))=0[/tex]

[tex]\frac{d}{dx}[500x-\frac{x^{2}}{10}]=0[/tex]

        [tex]500-\frac{x}{5}=0[/tex]

                 [tex]\frac{x}{5}=500[/tex]

                 [tex]x=2500[/tex]

Observe that R'(x) > 0 for 0 ≤ x < 2500 and R'(x) < 0 for x > 2500. Hence, first  derivative test will lead to the conclusion that maximum occurs at x = 2500.

Compute the value p (2500) as follows:

[tex]p(2500)=500-\frac{2500}{10}=500-250=250[/tex]

Then the rebate to maximize the revenue should be: $400 - $250 = $150.

(c)

The weekly cost function is,

[tex]C(x) = 73000 + 110x[/tex]

Compute the profit function as follows:

[tex]P(x)=R(x)-C(x)[/tex]

        [tex]=500x-\frac{x^{2}}{10}- 73000 - 110x\\\\=390x-\frac{x^{2}}{10}- 73000[/tex]

Compute the marginal profit as follows:

[tex]\text{Marginal profit}=P'(x)\\=\frac{d}{dx}P(x)\\=\frac{d}{dx}[390x-\frac{x^{2}}{10}- 73000]\\=390-\frac{x}{5}[/tex]

Compute the value of x for P'(x) = 0 as follows:

[tex]P'(x)=0\\\\390-\frac{x}{5}=0\\\\x=390\times 5\\\\x=1950[/tex]

Observe that P'(x) > 0 for 0 ≤ x < 1950 and P'(x) < 0 for x > 1950. Hence, first

derivative test will lead to the conclusion that maximum occurs at x = 1950.

Compute the value p (1950) as follows:

[tex]p(1950)=500-\frac{1950}{10}=500-195=305[/tex]

Then the rebate to maximize the profit should be: $400 - $305 = $95.

Answer:

Option (D)

Step-by-step explanation:

Surface area of a square pyramid is determined from the formula,

Surface area = Area of the square base + 4(Area of one lateral triangular side)

Area of the base = (Side)²

                            = 8²

                            = 64 cm²

Area of one lateral triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                             = [tex]\frac{1}{2}(8)(8)[/tex]

                                             = 32 cm²

Therefore, surface area of the square pyramid = 64 + 4(32)

                                                                              = 64 + 128

                                                                              = 192 cm²

Therefore, Option (D) will be the correct option.

Answer:

v2y +3=11

V2y=11- 3

V2y=8

2y=8²

2y=64

y=64÷2

y=32 Answer

The explicit formula for a straight line is written as y = Mx + b, where m is the slope and b is the y intercept.

The y intercept is the y value of where the line crosses the x axis. On the above picture the line crosses the x axis at -2, so the y intercept is -2

Use 2 points in the line for the slope:

Slope = change in y over the change in x:

(0,-2) (6,0)

Slope = (0- -2) / (6-0) = 2/6 = 1/3

Answer: y = 1/3x-2

Answer:

1.26

Step-by-step explanation:

1.008 divided by o.8 =1.26

Answer:

1.26, Dude get a calculator

Step-by-step explanation:

0 1. 2 6 0

8 1 0. 0 8 0

− 0        Listen. Its hard to do long division ona computer.

 1 0      

−   8      

   2 0    

 − 1 6    

     4 8  

   − 4 8  

       0 0

     −   0

         0

Answer:

13 1/6 cups.

Step-by-step explanation:

4 1/3 + 2 1/3 + 6 1/2

= 4 + 2 + 6 + 1/3 + 1/3 + 1/2

= 12 + 2/6 + 2/6 + 3/6

= 12 + 7/6

= 12 + 1 1/6

= 13 1/6.

Answer:

13 1/6

Step-by-step explanation:

Answer:

C) Both functions are decreasing and both are positive on the interval (0;2)

Step-by-step explanation:

As known the exponent function has no minimum and has no maximum.

Otherwise exponent function can be only or increasing or decreasing for all x.

That means that in case y(x2)>y(x1) and  if x2>x1-  function is increasing.

That means that in case y(x2)<y(x1) and  if x2>x1-  function is decreasing.  

Lets check what is going on with the function f(x)

If x1=0        f(x1)=24

If x2=2        f(x2)=0

So    x2>x1 however f(x2)<f(x1)=> function is decreasing

Similarly g(x)

If x1=0   g(x1)=15

If x2=2   g(x2)=0

So x2>x1 however g(x2)<g(x1) => function is decreasing

So bothfunctions are decreasing.

Because f(x) is decreasing the function meaning with argument x1=0 has max in the interval x∈(0;2) And function meaning has the minimum if argument x2=2.   So the function F(x) in interval (0;2) is changing from 24 to 0 => is positive on the interval (0,2)

The same is with g(x) .  g(x) gonna be positive on the interval (0;2)

Answer:

Step-by-step explanation:

To convert the statement to decimals, we need to use the following conversion rate.

Since $1 = 100cents

Writing $6.00 to 95 cents  as a decimal, we need to writw both units in the same units.

$6.00 to 95 cents = 600cents to 95 cents

= 600cents:95cents

= 600cents/95cents

= 6.32 (to 2dp)

For 3 hours to 35 minutes

SI=ince 1 hour = 60minutes

3 hours to 35 minutes  = (3*60)minutes to 35 minutes

= 180minutes : 35 minutes

= 180minutes/35 minutes

= 5.14 (to 2dp)

For 42 inches to 2 feet

Given 12inches = 1 foot

42 inches to 2 feet = 42inches to (2*12)inches

= 42inches to (24)inches

= 42inches : 24 inches

= 42inches/24 inches

= 1.75 (to 2dp)

Answer:

[tex] x = 6.25 [/tex]

Step-by-step explanation:

Given that ∆DFG ~ ∆RPQ, therefore, [tex] \frac{DF}{PR} = \frac{DG}{QR} = \frac{FG}{QP} [/tex] (similarity theorem).

DF = 10

PR = 8

DG = 5

QR = 4

QP = 5

FG = x

[tex] \frac{10}{8} = \frac{5}{4} = \frac{x}{5} [/tex]

Using [tex] \frac{5}{4} = \frac{x}{5} [/tex] , solve for x

cross multiply:

[tex] 4*x = 5*5 [/tex]

[tex] 4x = 25 [/tex]

[tex] x = \frac{25}{4} [/tex]

[tex] x = 6.25 [/tex]

Answer:

none of these unless one of the 45s are 46

Step-by-step explanation:

nearest dollar means no cents so $46.60 and $45.60 are out

58 is over 50 so the two 45s go away

the only option left is none of these or 46 if you accidentally put 45 instead of 46

Answer:

Step-by-step explanation:

[tex]\frac{x}{11}=\frac{7}{17}\\\\\mathrm{Multiply\:both\:sides\:by\:}11\\\\\frac{11x}{11}=\frac{7\cdot \:11}{17}\\\\\mathrm{Simplify\:}\frac{11x}{11}:\quad x\\\\\mathrm{Simplify\:}\frac{7\cdot \:11}{17}:\quad \frac{77}{17}\\\\x=\frac{77}{17}[/tex]

Answer:

Step-by-step explanation:

This is a geometric sequence with first element 1 and common ratio 2:

a(n) = 1*2^(n - 1)

Thus, a(1) = 1

a(2) = 2^(2 - 1) = 2

a(3) = 2^(3 - 1) = 4

a(4) = 2 ^( 4 - 1) = 2^ 3 = 8

a(5) = 2^(5  -1) = 2^ 4 = 16

One month is approximately 30 days.  Therefore,

a(30) = 2^ (30 - 1) = 2^29 = 536870912

Using this pattern, Paulina will "make" $536870.12 vs $20 via Paulina's father's plan.

Answer:

The correct answer is:

if the sample size big and the sample variance is small (a)

Step-by-step explanation:

The sample size of a study is the group of subjects that are selected from the general population and is considered an accurate representation of the population. With a large sample size, the likelihood of type I and type II errors occurring reduces. Increasing sample size allows the researcher to increase the significance level of the finding because it increases accuracy in coverage of the universal set, hence the effect accurately mirrors what goes on in the whole group. However, smaller sample size, on the other hand, does not accurately mirror the whole larger group.

The sample variance is the difference between the observed value and the true(actual). It is a measure of deviation or variability between the results and the true value. A smaller variance means increase closeness to the true value hence increase in accuracy and statistical significance.

Therefore, when the treatment effect is small but the sample size is large and variance is small, then the result is statistically significant.

Answer:

B. 1010

Step-by-step explanation:

Simplify:

Note that:

Therefore:

Correct choice is B.1010

Answer:

Hey there!

30-second ads for 20 days on a day time show.

6200(20)=124000

30-second ads for 5 days on a prime time show.

165000(5)=825000

124000+825000=949000 dollars.

Let me know if this helps :)

Answer:

20991

Step-by-step explanation:

Answer:

[tex]g=\frac{2\,H}{m+r}[/tex]

Step-by-step explanation:

Starting with :

m g + r g = 2 H

extract "g" as a common factor on the left of the equal sign:

g (m + r) = 2 H

Now, in order to solve for "g" , divide both sides of the equal sign by the binomial (m + r):

g = (2 H )/(m + r)

[tex]g=\frac{2\,H}{m+r}[/tex]

Answer:

(5+6)14 = x

11×14 = x

154 =x

Answer:

x = -100

Step-by-step explanation:

x/5+6 =-14

Subtract 6 from each side

x/5+6 -6 = -14-6

x/5 = -20

Multiply each side by 5

x/5*5 = -20*5

x = -100

Answer:

2.6

Step-by-step explanation:

Let us assume that the unit of measurement is centimetre (cm)

To obtain the value of A, do the following:

From the diagram above, we can say that the scale is 5 cm to 1 unit since there are 5 lines before a number.

Next, we shall determine the value of 1 cm.

5 cm = 1 unit

Therefore,

1 cm = 1/5 = 0.2 unit

This means that 1 small line is equivalent to 0.2 unit.

Now we shall determine A as follow:

A is exactly 3 lines (3 cm) after number 2.

1 cm = 0.2 unit

3 cm = 3 x 0.2 = 0.6 unit

Now, add 0.6 to 2 to obtain the value of A.

A = 2 + 0.6

A = 2.6

Therefore, A correspond to 2.6

Answer:

See below.

Step-by-step explanation:

1)

So we have:

[tex]\exists x\in\mathbb{N},y\in\mathbb{Z}|x^2=y^2[/tex]

This can be interpreted as:

"There exists a natural number x and an integer y such that x² is equal to y²."

2)

So we want even numbers are in the set of integers.

[tex]\{2n:n\in\mathbb{Z}\}\in\mathbb{Z}[/tex]

This is interpreted as:

"The set of even numbers (2n such that n is an integer) is in the set of integers"

Answer:

whole number

hope it helps

Answer:

x =28

Step-by-step explanation:

Divide the numbers

Combine multiplied terms into a single fraction

Eliminate fraction denominators

Simplify

Divide both sides of the equation by the same term