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Marina86 [1]
3 years ago
7

Help ASAP!

Mathematics
1 answer:
fgiga [73]3 years ago
4 0

The value of the expression is 19

Step-by-step explanation:

  • Step 1: Find the value of 9(n + 2) - 5n when n = 1/4

⇒ 9(n + 2) - 5n = 9(1/4 + 2) - 5 × 1/4

                         = 9(9/4) - 5/4

                         = 81/4 - 5/4 = 76/4 = 19

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Step-by-step explanation:

34 to the 4

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3 years ago
Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22
madam [21]

The equation x^{2} +y^{2} +z^{2} +2x-4y-6z=22  in standard form looks like (x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}.

Given equation of sphere be x^{2} +y^{2} +z^{2} +2x-4y-6z=22.

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like  x^{2} +y^{2} +z^{2} =r^{2}.

The given equation is x^{2} +y^{2} +z^{2} +2x-4y-6z=22.

We have to break 22 which is in right side into various parts according to the left side of the equation.

x^{2} +y^{2} +z^{2} +2x-4y-6z=-1-4-9+36

x^{2} +y^{2} +z^{2} +2x-4y-6z+1+4+9=36

x^{2} +1+2x+y^{2}+4-4y+z^{2} +9-6z=36

x^{2} +(1)^{2} +2*1*x+y^{2} +(2)^{2} -2*2y+z^{2} +(3)^{2} -2*3z=36

(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}

Hence the equation x^{2} +y^{2} +z^{2} +2x-4y-6z=22  in standard form looks like (x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}.

Learn more about equations at brainly.com/question/2972832

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7 0
2 years ago
Keith has $500 in his savings account at the beginning of the summer. He
bixtya [17]

Answer:

12

weeks

Explanation:

If Keith starts with

$

500

and wants to end with (at least)

$

200

he can withdraw up to

$

500

−

$

200

=

$

300

If he withdraws

$

25

week

the

$

300

will last

XXX

$

300

$

25

week

=

12

weeks

Step-by-step explanation:

I apologize if this isn't correct, I tried

7 0
3 years ago
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11111nata11111 [884]

Answer:

21 units

Step-by-step explanation:

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2 years ago
The sum of the angle measured in a triangle is 180°.Two angle of a triangle measures 20° and 50°.What did is the measure of the
babunello [35]

Answer:

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Triangles have three sides and two are given as 50 Degrees and 20 Degrees.

There is one angle remaining.

50 Degrees + 20 Degrees = 70 Degrees

Therefore, the last angle must be 110 Degrees. (180-70)

7 0
4 years ago
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