Which of the following is NOT an example of a special cubic factorization?
O 125w? + 272' = (5w + 3z) (25w? – 15wz + 9z²)
O 21663 – 64g? = (68 – 4g) (3652 + 245g + 16g)
O (7c + 8d) = 343c3 + 1176c-d + 1344cd2 + 512d3
O (51 – 9u)' = (51 – 9u) (2512 – 90tv + 81v-)

Answer:

x = 132

Step-by-step explanation:

720/6 = 120 (one angle of the hexagon)

540/5 = 108 (one angle of the pentagon)

120+108 = 228

360 - 228 = 132

x = 132

On solving the provided question, we can say that by the help of unitary method total 28 + 40 = $ 68

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

One package of chicken costs  = $7

steaks cost  = $4 per pound.

cost of 4 chicken = 4 * 7 = $28

cost of 10 steaks = 4*10 = $40

total 28 + 40 = $ 68

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A numerical equation using addition as the only operator, for instance, is 2 + 17.

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Answer:

5/6 x 3/2

Step-by-step explanation:

I think that would be correct out of all of those. I hope this helped!

(Please don't be mean if it's wrong, it's what I learned)

Answer:

26.3

Step-by-step explanation:

The altitude splits the 7-inch base into two 3.5-inch pieces find the missing sides:

3.5^2+9^2=c^2

9.656603=c

7+9.657+9.657=the perimeter

26.314 or 26.3

Answer:

what do i dohere?

Step-by-step explanation:

The dots in the expression - 321⋅35⋅7⋅15 represents multiplication.

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

From higher classes, we write a dot sign in between two terms to represent that the terms are being multiplied.

Given, - 321⋅35⋅7⋅15 this represents multiplication between the numbers

- 321, 35, 7, and 15.

The result of this product is,

- 321×35×7×15

= - 1,179,675.

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Answer:

C.,77°{interior alternate angle}

hope it helps.

Answer:

41°

Step-by-step explanation:

Sum of angle measures in a triangle: 180°

So,

108 + x + 5 + x - 5 = 180

Simplify.

2x + 108 = 180

Subtract 108 from both sides.

2x = 72

x = 36

Substitute x = 36 into (x + 5)

m∠A = 36 + 5 = 41

Thus, the answer is 41°

Answer:

18

Step-by-step explanation:

2

2

+

3

9

=

−

1

8

2x^{2}+39=-18

2x2+39=−18

2

2

+

3

9

−

(

−

1

8

)

=

0

Answer:fraction that represents the international snow globes, =9//10

Step-by-step explanation:

Number of international snow globes ==12

Number of domestic snow globes ==18

total number of snow globes =12+18=20

fraction that represents the international snow globes=18/20=9//10

Answer:

8¹

Step-by-step explanation:

The given expression is :

8 to the power 1.

We need to write it in exponential form.

If we write 10³, here 10 is base and 3 is exponent.

8 to the power 1 = 8¹

The base is 8 and exponent is 1.

Hence, the exponential form is 8¹.

0.71 percentage points greater is wyatt’s effective interest rate than his nominal interest rate.

Interest is a fee paid by a borrower to a lender for the use of borrowed money. It is calculated as a percentage of the amount borrowed, and is usually paid periodically at intervals. Interest is generally considered to be a form of compensation for the time and risk taken by the lender in providing a loan or other form of credit.

The effective interest rate is calculated by taking the (1 + nominal interest rate/number of compounding periods per year) to the number of compounding periods per year power minus 1. In this case, the effective interest rate would be 0.1362 x (1 + 0.1362/4)^4 - 1, which is 0.1439 or 14.39%. The difference between the nominal interest rate of 13.62% and the effective interest rate of 14.39% is 0.71 percentage points.

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The value of y in the equation is y = x / 100.

Subject of the formula is a variable which is expressed in terms of other variables involved in the formula.

Therefore, let's make y the subject of the formula in the equation x = 100y.

Hence, we will find y in terms of x.

Therefore,

x = 100y

divide both sides of the equation by 100

100y  / 100 = x / 100

y = x / 100

Therefore,

y = x / 100

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From set theory, A and B: {4, 6} A or B: {2, 3, 4, 5, 6, 8} B's complement is 1, 2, 7, and 8.

Basic set theory describes these various kinds of sets as follows: Finite set: There are only a finite number of elements. A set with an infinite number of elements. A set that is empty has no elements. A singleton set consists of just one element.

The elements that appear in both A and B at the same time are referred to as A and B.

From 1 to 8, the even numbers are 2, 4, 6, and 8.

The numbers 3, 4, 5, and 6 are in that order.

Look for the components that are the same in both sets.

A and B: {4, 6}

The union of the two sets is either A or B.

Combine the components from both sets.

A or B: {2, 3, 4, 5, 6, 8}

All the components that are absent from B make up its complement.

Except for the event elements, write all of the sample space's components.

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Answer:

the answer is b

Answer:

67

6365/95 = 67

But if your counting METERS and SQUARE METERS

It would be 134

Answer:

Step-by-step explanation:

Answer:

1.8

Step-by-step explanation:

4.8 + 2.2 = 7

8.8 - 7 = 1.8

You will be calculate the function F(G) = f(g(x)) and G(F) = g(f(x)).

What is function ?

A function is a kind of rule that, for one input, it gives you one output. Image source: by Alex Federspiel. An example of this would be y=x2. If you put in anything for x, you get one output for y. We would say that y is a function of x since x is the input value.

Have given ,

Two functions , f(x) and g(x)

The composition of two functions g and f is the new function we get by performing f first, and then performing g. For example, if we let f be the function given by f(x) = x2 and let g be the function given by g(x) = x + 3, then the composition of g with f is called gf and is worked out as gf(x) = g(f(x)) .

So , You will be calculate the function F(G) = f(g(x)) and G(F) = g(f(x)).

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The sine of an acute angle is less than one because it is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle. Since the side opposite the angle is shorter than the hypotenuse, the ratio is always less than one.

To what does sin equate?

In contrast to the cosine of an angle, which corresponds to the ratio of the nearby side to the hypotenuse, the sine of an angle is the ratio of the opposite side to the hypotenuse.

It's also the same reason why the cosine of an acute angle is always less than one because it is the ratio of the adjacent side of the angle to the hypotenuse.

It's important to note that this is only true for acute angles, angles smaller than 90 degrees.

For obtuse angles, greater than 90 degrees, the sine and cosine values are greater than one.

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Answer:

The probability would be 2/5

Step-by-step explanation:

There is five numbers on the spinning and the chance of getting one certain number would be 1/5, and if you add the two probabilities together would be 2/5, I am pretty sure.

The statement given here is true as 5x and 5 are like terms.

This is because like terms have the variables of same degree . Therefore, 5x and x are like terms as both of them have x to the power 1 , which means both are of degree 1.

Like terms differs from the unlike terms only in case of numerical component.  By summing the coefficients of  like terms , similar phrases can be regrouped. Like terms in a polynomial equation are those terms  that have the same variables and these variables have the same powers, but with different coefficients.

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Answer:

The radius and height of the cone are 3.41 cm and 20.46 cm respectively.

Step-by-step explanation:

Given that,

The volume of a conical candle is 250 cm³.

The height of candle is 3 times of its diameter.

h = 3d  (d = 2r, radius)

So,

h = 6r

The formula of volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2h\\\\250=\dfrac{1}{3}\pi \times r^2\times 6r\\\\250=2\pi r^3\\\\r=(\dfrac{250}{2\pi })^{1/3}\\\\r=3.41\ cm[/tex]

Height, h = 6r = 6(3.41) = 20.46 cm

Hence, the radius and height of the cone are 3.41 cm and 20.46 cm respectively.

Answer:

8.04 ≈ 8 hours

Step-by-step explanation:

Given data:

parts produced per cycle = 8

Average measured cycle time = 8.36 minutes

Average measured stress time per cycle ( observed workers time) = 4.62 minutes

e.t.c

Determine the number of standard hours the operator works

Given that the operator works for 8 hours a day and produces 380 parts

First : calculate the normal time for worker and machine ( Normal time = ( observed worker time * performance rating ) / 100

Normal time for worker =  (4.62* 115) / 100 = 5.31 mins

Normal time for machine = (observed cycle time - observed worker time ) = 8.36 - 4.62 = 3.74 mins

Next; determine the Total standard time for Machine and worker  = ( normal time * ( 1 + Allowance factor )

Standard Time For Worker = 5.313* (1 + 0.1) = 5.84 mins

while Standard Time for Machine = 3.74 *( 1 + 0.15) = 4.30 mins

Total standard time = 5.84 + 4.3 = 10.14 mins

Finally determine the standard hours the operator works

Standard hours  = (Standard Piece Time* Pieces produced) / 60

where ; Standard piece time  = Standard time / pieces per cycle = 10.14 / 8 = 1.27 mins

hence ; Standard hours  = ( 1.27 * 380 ) / 60 = 8.04 hours

The additional charge per mile for Service B is less than 30 cents per mile of the trip. This is because the rate for Service B is 20 cents per mile plus a flat fee of $10, which works out to less than 30 cents per mile for longer trips.

For a trip of 10 miles, Service B would cost

(10 x 0.20) + 10

= $12.

For a trip of 20 miles, Service B would cost

(20 x 0.20) + 10

= $22.

Therefore, the additional charge per mile for Service B is

(12/10)

= 1.2 for the 10 mile trip and

(22/20)

= 1.1 for the 20 mile trip.

Both of these are less than 30 cents per mile.

The additional charge per mile for Service B is less than 30 cents per mile of the trip because the rate for Service B is 20 cents per mile plus a flat fee of $10, which works out to less than 30 cents per mile for longer trips. To demonstrate this, for a 10 mile trip, the total cost would be $12, and for a 20 mile trip, the total cost would be $22. This works out to an additional charge per mile of 1.2 and 1.1 cents respectively, which are both less than 30 cents per mile.

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