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Nata [24]
3 years ago
5

Solve for z. z/4 −2 = 2 z =

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
6 0

Answer:

z=16

Step-by-step explanation:

z/4-2=2(take l.c.m)

or,(z-8)/4=2

or,z-8=8

z=16

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The surface area of the rectangular prism can be found using the expression 6x exponent 3 + 4x exponent 2 + 12x. if the value of
kupik [55]

Answer:

234 cm²

Step-by-step explanation:

Given expression to represent the surface area of the rectangular prism is 6x^{3} +4x^{2} +12x

The given value of x is 3.

Now, finding value of expression by sustituting value of "x" as given.

Surface area of the rectangular prism = 6x^{3} +4x^{2} +12x

Surface area of the rectangular prism= 6\times 3^{3} +4\times 3^{2} +12\times 3

∴ Surface area of the rectangular prism= 6\times 27+ 4\times 9+ 12\times 3

Surface area of the rectangular prism= 162+36+36= 234\ cm^{2}

∴ Surface area of the rectangular prism= 234 cm²

7 0
3 years ago
Which is longest?
finlep [7]

Answer:

12cm

Step-by-step explanation:

where:

c

is the hypotenuse, and

a

and

b

are the other two sides (legs).

Let

a

=

9 cm

Rearrange the equation to isolate

b

2

. Plug in the values for

a

and

c

, and solve.

b

2

=

c

2

−

a

2

b

2

=

(

15 cm

)

2

−

(

9 cm

)

2

Simplify.

b

2

=

225 cm

2

−

81

cm

2

b

2

=

144 cm

2

Take the square root of both sides.

b

=

√

144 cm

2

Simplify.

b

=

12 cm

3 0
2 years ago
At the start of a tennis match Ivan had 28/32 quart of water in his water bottle. He drank water from the bottle during the matc
const2013 [10]

Answer:

5/8 of a quart.

Step-by-step explanation:

That would be 28/32 - 1/4

= 28/32 - 8 /32

= 20/32  

= 5/8 of a quart.

5 0
3 years ago
20 points!
larisa [96]

Answer:

13. no

14. d

15. A

Step-by-step explanation:


4 0
3 years ago
The passing yards for the top 5 quarterbacks in the country are 3,832, 3,779, 3,655, 3,642, and 3,579. Find the variance and sta
Leviafan [203]

First get the average passing yards:

(3,832 + 3,779 + 3,655 + 3,642 + 3,579) / 5 = 3,697.4

Now get the squared residuals for each quarterback's passing yards. That is, compute the difference between each data and the average, then square the result. For example,

(3,832 - 3,697.4)^2 = 134.6^2 = 18,117.2

For the others, you should get squared residuals of

6,658.56

1,797.76

3,069.16

14,018.6

Take the sum of the squared residuals, then - since this is a sample, and not a population of all quarterbacks - divide the sum by 5 - 1 = 4 to get the variance:

(18,117.2 + 6,658.56 + 1,797.76 + 3,069.16 + 14,018.6)/4 = 10,915.3

The standard deviation is just the square root of the variance:

√(10,915.3) ≈ 104.48

5 0
3 years ago
Read 2 more answers
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