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Brrunno [24]
3 years ago
7

1. Hoover Dam spans the Colorado

Mathematics
1 answer:
Alona [7]3 years ago
5 0

BEST estimate of this  amount is 2(10^{7}) . Correct option A. 2 x 10^7 .

<u>Step-by-step explanation:</u>

Here we have , Hoover Dam spans the Colorado  River on the Nevada-Arizona state  line. For its construction, the federal  government purchased 21,670,000  pounds of gates and valves. We need to find BEST estimate of this  amount . Let's find out:

21,670,000  pounds

⇒ 21,670,000  pounds

⇒ 21,670,000

⇒ 2167(10^{4})

⇒ 2.167(10^{3})(10^{4})

⇒ 2.167(10^{3+4})

⇒ 2.167(10^{7})

Now, Rounding of 2.167 we get 2  ,So

⇒ 2(10^{7})

Hence ,  BEST estimate of this  amount is 2(10^{7}) . Correct option A. 2 x 10^7 .

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The variable z varies jointly with x and y. If z = 18 when x = 2 and y = 6, find the constant of variation, k, and then find the
solniwko [45]

Answer:

The constant of variation k is 3/2.

The value of z is -30.

Step-by-step explanation:

As we know Function form is

Z=kxy-------------1

So for k  

K = z/xy

So if z=18, x=2 y=6

k= 18/2 x6

k= 18/12

k=3/2

Now we have to find for z, now we know the value of x= -4  y =5 z =3/2

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3 years ago
What is the equation of the blue line?
zaharov [31]

Answer: <em>y = 3x + 2</em>

Step-by-step explanation:

\dfrac{x-x_{1} }{x_{2} -x_{1} } =\dfrac{y-y_{1} }{y_{2} -y_{1} }\\

<em>Let's choose two arbitrary points on the graph.</em>

<em>For example, let these be points with coordinates (1, 5) and (2, 8).</em>

<em>Substitute the coordinates of these points into the above formula and derive the equation of a straight line.</em>

\dfrac{x-1}{2-1} =\dfrac{y-5}{8-5}\\\\\dfrac{x-1}{1} =\dfrac{y-5}{3}\\\\3(x-1)=y-5\\3x-3=y-5\\y=3x-3+5\\y=3x+2

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3 years ago
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Simplify 10 - [14 = (3 + 4) · 2]+3
lora16 [44]

Answer:

There is a typo near the equal sign.

There can be two different answers if we think that = sign as + or -.

First way: Making = as +

=> 10 - [14 + (3+4) x 2] +3

=> 10 - [14 + 7 x 2] + 3

=> 10 - [14 + 14] + 3

=> 10 - 28 + 3

=> 10 + 3 - 28

=> 13 - 28

=> -15

=> So, -15 is the answer if we consider "=" sign as "+" sign.

Second way: Making = as -

=> 10 - [14 - (3+4) x 2] + 3

=> 10 - [14 - 7 x 2] + 3

=> 10 - [14 - 14] + 3

=> 10 - 0 + 3

=> 10 + 3

=> 13

=> So, 13 is the answer if we consider "=" sign as "-" sign.

5 0
3 years ago
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