Help me out with this question linked below.

[tex]\huge{\colorbox{pink}{Solution}}[/tex]

Step 1 : Equation at the end of step 1

(((7•(x^10 ))-5)•x)•(5x^10-8)

Step 2 : Equation at the end of step 2 :

((7x^10 - 5) • x) • (5x^10 - 8)

Step 3 :

Trying to factor as a Difference of Squares:

3.1 Factoring: 7x^10-5

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A² - AB + BA - B² =

A² - AB + AB - B² =

[tex] \: \: \: \: \: \blue {A² - B²}[/tex]

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 7 is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares.

Equation at the end of step 3 :

x • (7x10 - 5) • (5x10 - 8)

Step 4 :

4.1 Factoring: 5x^10-8

Check : 5 is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares.

Final result : ☞ x • (7x10 - 5) • (5x10 - 8)

→ 3.5 × 10^-12

____________________________

Hope It Helps You ✌️

Answer: 10

Step-by-step explanation:

10

Answer:

Very hard question i don't help you

Answer:

Following are the complete solution to the given question:

Step-by-step explanation:

The two main elements are geometry. One of them is analyzing the form of something. The second element is distance thinking. Four dominant sides are united into the triangle. Its sides can be of any height, however, the biggest side can be even more than and equal to a sum of the other two sides. Also, there are two concentric angles in a triangular, with the overall amount of three angles being 180 °.

Answer: He can make 36 different salds

Step-by-step explanation:

Answer:

3/5 so A.

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (1, 5)

m = [tex]\frac{5-2}{1-(-4)}[/tex] = [tex]\frac{3}{1+4}[/tex] = [tex]\frac{3}{5}[/tex]

Answer:

1/2 pounds or 0.5 pounds, 3/6 = 1/2 :)

hope i helped

Step-by-step explanation:

Answer:

0.5 pound/share

Step-by-step explanation:

 Divide 3 pounds by 6 shares, obtaining 0.5 pound/share

Answer:

Step-by-step explanation:

You need to put parentheses around the radicands.

√z · √(30z²) · √(35z³) = √(z·30z²·35z³)

= √(1050z⁶)

= √(5²·42z⁶)

= √5²√z⁶√42

= 25z³√42

The obtained expression would be 25z³√42 which is determined by the multiplication of the terms of expression.

A perfect Square is defined as an integer multiplied by itself to generate a perfect square, which is a positive integer. Perfect squares are just numbers that are the products of integers multiplied by themselves.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

We have been the expression as:

⇒ √z · √(30z²) · √(35z³)

Multiply and remove all perfect squares from inside the square roots

⇒ √(z·30z²·35z³)

⇒ √(1050z⁶)

⇒ √(5²·42z⁶)

Assume z is positive.

⇒ √5²√z⁶√42

⇒ 25z³√42

Therefore, the obtained expression would be 25z³√42.

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Answer:

b. 01285 esa es, espero este buena y que te ayude

Given:

The cost function is:

[tex]C(x)=0.28x^2-0.7x+1[/tex]

where C(x) is the cost per hour in millions of dollars and x is the number of items produced per hour in thousands.

To find:

The minimum production cost.

Solution:

We have,

[tex]C(x)=0.28x^2-0.7x+1[/tex]

It is a quadratic function with positive leading efficient. It means it is an upward parabola and its vertex is the point of minima.

If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then the vertex of the parabola is:

[tex]\text{Vertex}=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)[/tex]

In the given function, [tex]a=0.28, b=-0.7, c=1[/tex]. So,

[tex]-\dfrac{b}{2a}=-\dfrac{-0.7}{2(0.28)}[/tex]

[tex]-\dfrac{b}{2a}=1.25[/tex]

Putting [tex]x=1.25[/tex] in the given function to find the minimum production cost.

[tex]C(x)=0.28(1.25)^2-0.7(1.25)+1[/tex]

[tex]C(x)=0.28(1.5625)-0.875+1[/tex]

[tex]C(x)=0.4375+0.125[/tex]

[tex]C(x)=0.5625[/tex]

Therefore, the minimum production cost is 0.5625 million dollars.

Answer:

The minimum cost is 0.5625.

Step-by-step explanation:

The cost function is

C(x) = 0.28x^2 - 0.7 x + 1

Differentiate with respect to x.

[tex]C = 0.28x^2 - 0.7 x + 1\\\\\frac{dC}{dt} = 0.56 x - 0.7\\\\\frac{dC}{dt} = 0\\\\0.56 x - 0.7 = 0\\\\x = 1.25[/tex]

The minimum value is

c = 0.28 x 1.25 x 1.25 - 0.7 x 1.25 + 1

C = 0.4375 - 0.875 + 1

C = 0.5625

Answer:

4

Step-by-step explanation:

AD=4+8=12=DE thus angle EAD= angle AED=90÷2=45

angle ACB=90-45=45 thus CB=AB=4

Answer:

incorrect answer above

Answer:

5

Step-by-step explanation:

the only point in the chart, which has x=0 as coordinate, is the point up there at y=5.

and that is automatically the result. there is not anything else to it.

Answer:

The answer is "0.59".

Step-by-step explanation:

Please find the whole question in the attached file.

Given:

[tex]\mu=26.8\\\\\sigma=6.4\\\\X=30.6[/tex]

Using formula:

[tex]z=\frac{X-\mu}{\sigma}[/tex]

   [tex]=\frac{30.6-26.8}{6.4}\\\\=\frac{3.8}{6.4}\\\\=\frac{380}{640}\\\\=\frac{38}{64}\\\\=\frac{19}{32}\\\\=0.59375\approx 0.59[/tex]

Answer:

Point estimate = 76.4

Margin of Error = 2.680

Step-by-step explanation:

Given that distribution is approximately normal;

The point estimate = sample mean, xbar = 76.4

The margin of error = Zcritical * s/√n

Tcritical at 95%, df = 42 - 1 = 41

Tcritical(0.05, 41) = 2.0195

Margin of Error = 2.0195 * (8.6/√42)

Margin of Error = 2.0195 * 1.327

Margin of Error = 2.67989

Margin of Error = 2.680

Answer:

7.3

Step-by-step explanation:

y=2.5x+5.8

=2.5×0.6+5.8

= 1.5+.8

=7.3

Answer:

t = 44.79 years

Step-by-step explanation:

6 =  [tex]e^{.04t}[/tex]

ln(6) = .04t ln(e)

ln(6)/.04 =t  

t = 44.79

The amount of time it required to sextuple is 27.5 years.

To find out how long it takes for the money in an account to sextuple (i.e., become six times its original value) with continuous compounding at an annual interest rate of 4%, we can use the formula for continuous compound interest:

A = Pe^(rt)

If we let P be the initial principal, then the final amount is 6P (since we want the account to sextuple), and the interest rate r is 0.04. So we can write:

6P = Pe^(0.04t)

Dividing both sides by P, we get:

6 = e^(0.04t)

Taking the natural logarithm of both sides, we get:

ln(6) = 0.04t

Dividing both sides by 0.04, we get:

t = ln(6)/0.04

Using a calculator, we can find that:

t ≈ 27.5 years

Therefore, it will take approximately 27.5 years for the money in the account to sextuple with continuous compounding at an annual interest rate of 4%.

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Answer:

7/26

Step-by-step explanation:

Add all of it up.

9 + 8 + 4 +5 = 26

26 cookies, but done twice so,

26 × 2 = 52

14/52 = 7/26

Answer:

Domain: {1,2,4}

Step-by-step explanation:

The domain is the input values

We normally list the value in order from smallest to largest and only list the values one time if they appear more than once

Domain: {1,2,4}

Take the input values as domain.

→ 2,1,2,4

Now pick a number once if it is repeated and arrange in ascending order.

Then the domain will be,

→ 1,2,4

Hence, {1,2,4} is the domain of the pairs.

Answer:

C

Step-by-step explanation:

On a number cube from 1 to 6, there are only two numbers available that are equal to or greater than 5: 5 and 6. Out of the six possible options, only two options could meet these conditions. Therefore, the probability is 2/6. However, this can be further simplified as both 2 and 6 can be divided by two, which would equal 1/3.

Answer:

The best way to create a linked list using PublListNode and Publication classes is ensuring that:

d. The PublListNode class contains the Publication class.

Step-by-step explanation:

A linked list contains a set of address-connected nodes (elements).  The first node is called a header address, while the last node is called a null address. A linked list can be a single list (linear list), double list, multiple linked list, or circular linked list.  The PublListNode is a type of multiple linked list.  It forms a linked list of different publications using an inheritance tree.

It looks like the equation reads

2yy' = exp(x - y ²)

(where exp(blah) = e ^(blah))

This DE is separable:

2y dy/dx = exp(x) exp(-y ²)

==>   2y exp(y ²) dy = exp(x) dx

Integrating both sides gives

exp(y ²) = exp(x) + C

The initial condition tells you that y = -2 when x = 4, so that

exp((-2)²) = exp(4) + C

exp(4) = exp(4) + C

==>   C = 0

Then the particular solution to this DE is

exp(y ²) = exp(x)

Solving for y as a function of x gives

y ² = x

y = ±√x

But bearing in mind that y = -2 < 0 when x = 4, only the negative square root solution satisfies the DE. So

y(x) = -√x

Explanation:

For any rectangle, the diagonals are the same length.

AC = BD

7x-35 = 3x+45

7x-3x = 45+35

4x = 80

x = 80/4

x = 20

Answer:

a) [tex]E(\bar x) = \mu_{1} = 22[/tex] inches

The sampling distribution of the sample means annual rainfall for California is 1.278.

b)

[tex]E(\bar x) = \mu_{2} = 42[/tex] inches

The sampling distribution of the sample means annual rainfall for New York is 1.0435.

c)

Here, The standard error of New York is smaller because the sample size is larger than for California.

Step-by-step explanation:

California:

[tex]\mu_{1} = 22[/tex] inches.

[tex]\sigma_{1}[/tex] = 7 inches.

[tex]n_{1}[/tex] = 30 years.

New York:

[tex]\mu_{2} = 42[/tex] inches.

[tex]\sigma_{2}[/tex] = 7 inches.

[tex]n_{2}[/tex] = 45 years.

a)

[tex]E(\bar x) = \mu_{1} = 22[/tex] inches

[tex]\sigma^{p} _{\bar x} = \frac{\sigma_{1} }{\sqrt n_{1} } \\\\\\\sigma^{p} _{\bar x} = \frac{7}{\sqrt 30} \\\\\sigma^{p} _{\bar x} = 1.278[/tex]

b)

[tex]E(\bar x) = \mu_{2} = 42[/tex] inches

[tex]\sigma _{\bar x} = \frac{\sigma_{2} }{\sqrt n_{2} } \\\\\\\sigma_{\bar x} = \frac{7}{\sqrt45} \\\\\sigma _{\bar x} = 1.0435[/tex]

c)

Here, The standard error of New York is smaller because the sample size is larger than for California.

Answer:

20 doses

Step-by-step explanation:

400 milli. = 0.4 grams

8/0.4 = 20 doses

Answer:

Step-by-step explanation:

From the given information:

We can see that:

[tex]x + 2y + 3z = 0 --- (1) \\ \\ 2x + 4y + 6z = 0 --- (2)[/tex]

From equation (1), if we multiply it by 2, we will get what we have in equation (2).

It implies that,

x + 2y + 3z = 0    ⇔   2x + 4y + 6z = 0

And, W satisfies the equation x + 2y + 3z = 0

i.e.

W = {(x,y,z) ∈ R³║x+2y+3z = 0}

Now, to determine the distance through the plane W and point is;

[tex]y = [1 \ 1 \ 1]^T[/tex]

Here, the normal vector [tex]n = [1\ 2\ 3]^T[/tex] is related to the plane x + 2y + 3z = 0

Suppose θ is the angle between the plane W and the point [tex]y = [1 \ 1 \ 1]^T[/tex], then the distance is can be expressed as:

[tex]||y|cos \theta| = \dfrac{n*y}{|n|}[/tex]

[tex]||y|cos \theta| = \dfrac{[1 \ 2\ 3 ]^T [1 \ 1 \ 1] ^T}{\sqrt{1^2+2^2+3^2}}[/tex]

[tex]||y|cos \theta| = \dfrac{[1+ 2+ 3 ]}{\sqrt{1+4+9}}[/tex]

[tex]||y|cos \theta| = \dfrac{6}{\sqrt{14}}[/tex]

[tex]||y|cos \theta| = 3\sqrt{\dfrac{2}{7}}[/tex]

Answer:

= -10√3 - √3 . 5^3/2

Step-by-step explanation:

Apply the distributive law: a(b + c) = ab + ac

a = -5 √3, b = 2, c = √5

-5 √3 . 2 + -(5√3) √5

Apply minus-plus rules: + (-a) = -a

= -5 . 2√3 - 5 √3 √5

Simplify

= -10√3 - √3 . 5^3/2

Answer:

The answer is C. -82 + 26i

(8+6i)(-5+7i) = -82+26i

Answer:

1. (i) 7, 21, 63, 189

(ii) 20, 10, 5, 2.5

2. (i) n²+n (where n = 1, 2, 3, ..)

(ii) 8/(10^n) (where n = 1, 2, 3, ..)

(iii) 1/(n+1) (where n = 1, 2, 3, ..)

Answer:

-1/4

Step-by-step explanation:

Take two points on the line

(-4,-1) and (0,-2)

Using the slope formula

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

   = ( -2 - -1)/( 0 - -4)

    = (-2+1)/ ( 0+4)

    -1/4

Answer:

Number of limes are 20

Number of oranges are 22

Number of cherries are 26

Step-by-step explanation:

number of pieces of total candies = 68

Let the number of limes is y.

Number of orange = y + 2

Number of cherry = 4 + y + 2

So,

According to the question

y + y + 2 + 4 + 2 + y = 68

3 y + 8 = 68

3y = 60

y = 20

Number of limes are 20

Number of oranges are 22

Number of cherries are 26