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VARVARA [1.3K]
3 years ago
15

1. a single standard number cube is rolled, what is the probability of getting 4 or 5?

Mathematics
1 answer:
True [87]3 years ago
5 0
There are 6 sides on a standard number cube. Numbers are listed on it from 1-6. This being said, 4 and 5 together make up 2/6 of the cube. Since this fraction can be reduced, this leaves us with C. 1/3
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Given the polynomial 2x3 18x2 − 18x − 162, what is the value of the constant 'k' in the factored form? 2x3 18x2 − 18x − 162 = 2(
oee [108]

The value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

<h3>What is polynomial equation?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial equation in the problem is,

2x^3 +18x^2 - 18x - 162

The factor of the polynomial equation are given as,

2(x+ k)(x - k)(x +9)

First find out the factors to compare and find the value of k.The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor 2, which can divide each term of the above equation (2, 18, -18, -162). Thus,

2(x+ k)(x - k)(x +9)=2(x^3 +9x^2 - 9x - 81)

Take out the highest common factor to make the groups as,

2(x+ k)(x - k)(x +9)=2(x^2( x+9) - 9(x + 9))\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 9)\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 3^2)

Use the property of difference of the square for the (x²-3²) term as,

2(x+ k)(x - k)(x +9)=2( x+9) (x+3)(x-3)\\2(x+ k)(x - k)(x +9)=2 (x+3)(x-3)( x+9)

On comparing the two equation, we get the value of k as 3. Thus, the value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

Learn more about factor of polynomial here;

brainly.com/question/24380382

7 0
1 year ago
An escalator from the ground floor to the second floor of a department store is 110 ft long and 32 ft vertical. What is the esca
grigory [225]

Answer: 16.91°

Step-by-step explanation:

1. You can draw a right triangle as you can see in the figure attached.

2. Then you can calculate the angle of elevation (α) as following:

\alpha=arcsin(\frac{opposite}{hypotenuse})

Where:

opposite=32\\hypotenuse=110

3. Now you must substitute these values. Then, the angle of elevation is:

 \alpha=arcsin(\frac{32}{110})

\alpha=16.91\°

4 0
3 years ago
Is there a trend in this data if there is please tell me and why ,thank u
pickupchik [31]
No thers not a trend because a trend need to be in a strait line and thers not a strait line in the photo

5 0
3 years ago
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How are perpendicluar lines diffirence with intersecting lines
Masteriza [31]

Answer:

The major difference between the intersecting lines and the perpendicular lines is that intersecting lines are the two lines in which they intersect each other at any angle, whereas the perpendicular lines are the two lines, in which they intersect at an angle of 90 degrees.

Step-by-step explanation:

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3 years ago
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A change in velocity <br><br><br> a. speed<br> b. velocity<br> c. acceleration
nata0808 [166]

Answer:

C

Step-by-step explanation:

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3 years ago
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