1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marat540 [252]
3 years ago
12

Why does (-4 1/2)^2 = 20.25? Thank you please hurry!

Mathematics
1 answer:
AnnZ [28]3 years ago
4 0

Answer:

See below.

Step-by-step explanation:

Squaring a number means to multiply the number by itself.

For example, 3^2 means 3 * 3.

8^2 means 8 * 8.

(-6)^2 means (-6) * (-6).

In each case above, you see that the number that is squared is multiplied by itself.

In this case, (-4.5)^2, squaring the number -4.5, means multiply the number -4.5 by the number -4.5

(-4.5)^2 = (-4.5) * (-4.5)

Now we need to actually multiply -4.5 by -4.5

When you multiply a negative number by a negative number, the result is positive, so the product of -4.5 and -4.5 is a positive number. To find that number, you multiply 4.5 by 4.5

4.5 * 4.5 = 20.25

Therefore, (-4.5)^2 = 20.25

You might be interested in
Hello ! i need help for that ----> (-3x+1)(2x-5)-(-3x+1)(-2x+7) calculate the value of E for : x = 1
Naya [18.7K]
25 plus 70 and put the abcd
3 0
3 years ago
Estimate the quotient using compatible numbers.<br><br> 3,512 ÷ 9<br><br> 30<br> 400<br> 300<br> 40
madreJ [45]

Answer:

400. just use simple devision and it'll tell you.

5 0
3 years ago
A quality control engineer is interested in estimating the proportion of defective items coming off a production line. In a samp
fenix001 [56]

Answer:

The lower bound of a 99% C.I for the proportion of defectives = 0.422

Step-by-step explanation:

From the given information:

The point estimate = sample proportion \hat p

\hat p = \dfrac{x}{n}

\hat p = \dfrac{55}{100}

\hat p = 0.55

At Confidence interval of 99%, the level of significance = 1 - 0.99

= 0.01

Z_{\alpha/2} =Z_{0.01/2} \\ \\ = Z_{0.005} = 2.576

Then the margin of error E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1-\hat p)}{n}}

E = 2.576 \times \sqrt{\dfrac{0.55(1-0.55)}{100}}

E = 2.576 \times \sqrt{\dfrac{0.2475}{100}}

E = 2.576 \times0.04975

E = 0.128156

E ≅ 0.128

At 99% C.I for the population proportion p is: \hat p - E

= 0.55 - 0.128

= 0.422

Thus, the lower bound of a 99% C.I for the proportion of defectives = 0.422

6 0
2 years ago
4.2​% of 60 is<br> PLEASE HELP
Mandarinka [93]

Answer:

2.52

Step-by-step explanation:

4.2% of 60 = 4.2% * 60

4.2% = 0.042

0.042 * 60

2.52

3 0
3 years ago
Read 2 more answers
A train leaves Roseville heading east at 6:00 am at 40 miles per hour. Another eastbound train leaves on a parallel track at 7:0
Molodets [167]

Answer:

At 11:00 am the both trains will be at same distance away from Roseville

Step-by-step explanation:

The first train was 40 miles away from Roseville at 7:00 am

After some time t the both trains will be at the same distance away from Roseville.

We will make equation for that situation

d- distance      v1= 40mph and v2= 50mph -  velocity

d =  v1*t + 40 = v2*t  => v2*t - v1*t = 40 => t (v2-v1) = 40 -> t = 40/ (v2-v1)

t = 40/(50-40) = 40/10= 4h      t = 4h

7:00 am * 4h = 11:00 am

Good luck!!!

6 0
3 years ago
Other questions:
  • Solve following <br> x-y=2<br> 5x+3y=18
    6·2 answers
  • Scott and his family want to hike a trail that is 1,365 miles long. They will hike equal parts of the trail on 12 different hiki
    11·1 answer
  • Simplify 3(2x-7y)+2(2x+3)=
    8·1 answer
  • How do you solve missing angles
    12·1 answer
  • Three times the measure of the supplement of an angle is 108 degrees more than 9 times the measure of the angle's complement. Fi
    9·1 answer
  • Of the following options, what could be a possible first step in solving the equation x + 6 = 3x -2
    13·1 answer
  • Someone please help me
    13·1 answer
  • Can someone help with this? the question is "What is the value of x that makes the equation true?"
    7·1 answer
  • Is this right or no?
    15·1 answer
  • Dave and LaVontae are saving money. Dave has $10, and LaVontae has $5. Write an
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!