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alisha [4.7K]
3 years ago
15

Write the ordered pair that represents yzThen find the magnitude of yz. Y(5,0), Z(7,6)

Mathematics
2 answers:
Nastasia [14]3 years ago
8 0

Answer:

A. (2,6); \sqrt{12} units

Step-by-step explanation:

Annette [7]3 years ago
7 0

Answer: (2,6) ; 2sqrt10 units

Step-by-step explanation:

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A high-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. Suppose that the radius
lord [1]
The increase of the radius is a linear increase since we have the constant rate of 0.07 inches per second

The equation for a linear growth/decay is given by the form y=mx+c where m is the rate of increase and c is the value of y when x=0

We have 
m = 0.07 
c=36 when t=0

So the equation is r=0.07t+36

The length of the radius when t=400 seconds is
r=0.07(400)+36
r=64 inches
7 0
3 years ago
What is the volume of a cube with side lengths that measure 8 cm?
Nataly_w [17]

Answer: 512 cm³

Explanation: Since the length, width, and height of a cube are all equal,

we can find the volume of a cube by multiplying side × side × side.

So we can find the volume of a cube using the formula v = s³.

In the cube in this problem, we have a side length of 8 cm.

So plugging into the formula, we have (8 cm)³

or (8 cm)(8 cm)(8 cm), which is 512 cm³.

So the volume of the cube is 512 cm³.

7 0
3 years ago
Read 2 more answers
Jamal has at most $100 to spend on computer paper and printer ink for his computer. He buys 1 box of paper for $24.99. If ink ca
lions [1.4K]

Answer:

1 box of paper with 3 ink cartridges

Step-by-step explanation:

$100 total

$24.99+19.99(3)= $84.96 (4 ink cartridges would be over the allotted amount)

7 0
3 years ago
The random variable X~(30,2^2) <br> Find p(X&lt;33) <br> Find p(X&gt;26)
Ostrovityanka [42]

Answer:

i) P(X<33)  = 0.9232

ii) P(X>26) = 0.001

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the Population = 30

Given that the standard deviation of the Population = 4

Let 'X' be the Normal distribution

<u>Step(ii):-</u>

i)

Given that the random variable  X = 33

               Z = \frac{x-mean}{S.D}

               Z = \frac{33-30}{2} = 1.5 >0

P(X<33) = P( Z<1.5)

              = 1- P(Z>1.5)

             = 1 - ( 0.5 - A(1.5))

             = 0.5 + 0.4232

  P(X<33)  = 0.9232

<u>Step(iii) :-</u>

Given that the random variable  X = 26

               Z = \frac{x-mean}{S.D}

               Z = \frac{33-26}{2} = 3.5 >0

P(X>26)  = P( Z>3.5)

              = 0.5 - A(3.5)

              = 0.5 - 0.4990

             = 0.001

P(X>26) = 0.001

5 0
3 years ago
A train is traveling at 60 mph. If the rate of speed increases 4 mph each hour,
Alenkasestr [34]

Answer:

B) 5 hours

Step-by-step explanation:

First, find the amount of mph between 60 and 80:

80 - 60

= 20 mph

Since the speed increases 4 mph per hour, we can find how long it will take to get to 80 mph by dividing 20 by 4:

20/4

= 5

So, the correct answer is B, 5 hours

6 0
2 years ago
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