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2 years ago

(7z^3+42z^2-15z+1)- (36z^2+12z-21)

Mathematics

2 answers:

My name is Ann [436]2 years ago

6 0

Answer:

7z^3+6z^2-27z+22

Step-by-step explanation:

The given question is of subtraction:

So,

(7z^3+42z^2-15z+1)- (36z^2+12z-21)

=7z^3+42z^2-15z+1-36z^2-12z+21

Combining alike terms to simplify

=7z^3+42z^2-36z^2-15z-12z+1+21

=7z^3+6z^2-27z+22

So the answer in simplified form is:

7z^3+6z^2-27z+22 ..

zalisa [80]2 years ago

4 0

Answer:

7z³ + 6z² - 27z + 22

Step-by-step explanation:

It is given an expression in variable z,

(7z³ + 42z² - 15z + 1) - (36z² + 12z - 21)

<u>To find the simplified form</u>

(7z³ + 42z² - 15z + 1) - (36z² + 12z - 21)

= (7z³ + 42z² - 15z + 1 - 36z² - 12z + 21)

= 7z³ + 42z² - 36z² - 15z -12z + 1 + 21

= 7z³ + 6z² - 27z + 22

Therefore the simplified expression is = 7z³ + 6z² - 27z + 22

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Find an exact value.

leonid [27]

Answer:

(√2 - √6) / 4

C. square root of two minus square root of six divided by four.

Step-by-step explanation:

sine of negative eleven pi divided by twelve.

We have :

sin(-11π/12)

sin((4 - 15)π / 12) = sin(4π/12 - 15π/12)

sin(4π/12 - 15π/12) = sin(π/3 - 5π/4)

Recall:

Angle difference formula:

sin(A - B) = sinAcosB - sinBcosA

Hence,

sin(π/3 - 5π/4) = sin(π/3) cos(5π/4) − sin(5π/4) cos(π/3)

From trigonometry:

sinπ/3 = √3/2

cos5π/4 = -√2/2

sin5π/4 = -√2/2

cos π/3 = 1/2

(√3/2) (-√2/2) − (-√2/2) (1/2)

-√6/4 - -√2/4

-√6/4 + √2/4

√2/4 - √6/4

(√2 - √6) / 4

7 0

2 years ago

Where is a major league ballpark in which the distance from home plate to the center-field fence and the height of the center fi

jonny [76]

Given:

A height of 2 feet above the ground and angle of elevation of 86 degrees.

Assuming that the form of our problem is a right triangle, we can solve for the remaining angle:

180 - (90+86) = 4 degrees

The distance from the home plate to the centerfield is

2/sin 4 = x / sin 86

solve for x

x = 28.60 feet
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8 0

3 years ago

Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate each day. It is f

pashok25 [27]

Answer:

0.999987

Step-by-step explanation:

Given that

The user is a legitimate one = E₁

The user is a fraudulent one = E₂

The same user originates calls from two metropolitan areas = A

Use Bay's Theorem to solve the problem

P(E₁) = 0.0131% = 0.000131

P(E₂) = 1 - P(E₁) = 0.999869

P(A/E₁) = 3% = 0.03

P(A/E₂) = 30% = 0.3

Given a randomly chosen user originates calls from two or more metropolitan, The probability that the user is fraudulent user is :

$P(E_2/A)=\frac{P(E_2)\times P(A/E_2)}{P(E_1)\times P(A/E_1)+P(E_2)\times P(A/E_2)}$

$=\frac{(0.999869)(0.3)}{(0.000131)(0.03)+(0.999869)(0.3)}$

$\frac{0.2999607}{0.00000393+0.2999607}$

$\frac{0.2999607}{0.29996463}$

= 0.999986898 ≈ 0.999987

6 0

3 years ago

All sacks of sugar have the same weight. All sacks of flour also have the same weight, but not necessarily the same as the weigh

maksim [4K]

Sugar: x pounds
flour: 2x + 5 pounds
2x + 3(2x + 5) = 40
2x + 6x + 15 = 40
8x = 25
x = 3.125
-> a sack of flour is 3.125 + 5 = 8.125 pounds
I hope it‘s coorect

4 0

3 years ago

How do i round 8.544 to the nearest hunderdth

mario62 [17]

8.54. The last number is low so it can not round up to 5

5 0

3 years ago

Read 2 more answers

(7z^3+42z^2-15z+1)- (36z^2+12z-21)​

(7z^3+42z^2-15z+1)- (36z^2+12z-21)