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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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Factor completely: 3x2 + 12x + 7
zepelin [54]

Answer:

Step-by-step explanation:

Eliminate answer 4 immediately, because (4)(3) is not 7.

Look at answer 2:  7x + 3x = 10x, which does not match the middle term 12x in the original polynomial.  Eliminate answer 2.

Look at answer 1:  1x + 21x = 22x, which does not match the middle term of the original polynomial.   Eliminate answer 1.

All quadratics have solutions.  Let's apply the quadratic formula to 3x^2 + 12x + 7:  Here a = 3, b = 12 and c = 7, so that the discriminant b²-4ac is

12²-4(3)(7), or 144 - 84, or 60.  Being positive, this tells us that the given poly has two real, unequal roots:

      -12 ± √60        -12 + 2√15                     -12 - 2√15

x = ----------------- = -------------------  and   x = --------------------

            3                         3                                     3

Normally, if c is a root, then x - c is a factor.

If we try this here, however, the resulting factors do not at all match any of your answer choices.

Don't be offended...but please ensure you have copied this problem down correctly.

                                                           

3 0
3 years ago
76 div 4<br><br> a)15<br><br> b) 8<br><br> c) 19<br><br> d) 0<br><br> Explain
Sunny_sXe [5.5K]

Answer:

C. 19.  

Step-by-step explanation:

Let's find the answer.

Step 1:  divide the first number of 76, which is 7, by 4 and find the integer part.

7/4=1.75, so the integer part is 1.

Step 2: subtract from 7 the (integer part times 4)

7-(1*4)=3

Step 3: put toether the result (3) and the second number of 76, which is 6, so the result is 36.

Step 4: find how many times we need to add 4s to reach 36, so:

4+4+4+4+4+4+4+4+4=36 which means that:

36/4=9

Step 5: put together the two resulted numbers calculated in step 1, which is 1, and step 4, which is 9:

1 and 9 giving 19, so the answer is:

76/4=19.

In conclusion the answer is C. 19. 

6 0
3 years ago
4/6x2/3 simplified and in fraction form
Kaylis [27]

Answer:

onvert 234 2 3 4 to an improper fraction. ... Divide each term by −6 - 6 and simplify. ... The result can be shown in multiple forms.

Step-by-step explanation:

4 0
2 years ago
If f(x) = 5x + 4, which of the following is the inverse of Ax)?
Levart [38]

Answer:

f^{-1} (x) = \frac{x-4}{5}

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 5x + 4 ( subtract 4 from both sides )

y - 4 = 5x ( divide both sides by 5 )

\frac{y-4}{5} = x

change x to f^{-1}(x) and y back to x, thus

f^{-1}(x) = \frac{x-4}{5}

6 0
3 years ago
The area of the rectangle shown is 200 square units. Find the volume of x
VladimirAG [237]

Answer:

200/5=40

40/2=20+5=25

25x8=200

40 is X.

Step-by-step explanation:

3 0
3 years ago
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