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kumpel [21]
3 years ago
14

Which expression is a difference of squares?

Mathematics
2 answers:
prohojiy [21]3 years ago
6 0
The answer is
9 {m}^{4}  - 49 {n}^{6}
In the choices; the coefficients 21, 32 and 10 are not perfect squares.
KATRIN_1 [288]3 years ago
4 0

Answer:

Option A is the correct answer.

Step-by-step explanation:

Which expression is a difference of squares?

9m^{4}-49n^{6}

Here both 9 and 49 are perfect squares.

9 is the perfect square of 3 and 49 is the perfect square of 7.

In rest options, one term is a perfect square and one is not. Like in 2nd option, 16 is square of 4 but 21 is of none. Similarly in option 4th, 100 is a square of 10 but 10 is of none.

So, option A is the correct answer.

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Add.
Tresset [83]

Answer:

C

Step-by-step explanation:

3x2 - 5x+1 + 2x2 +9x-6

Combine like terms

5x2+4x-5 which is C

You are welcome and don't for get to click <u>THANKS</u>

4 0
3 years ago
Read 2 more answers
Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.65
Verizon [17]
A) 0.9803; 0.4803
B) 32

We calculate the z-score for this problem by using the formula:

z=\frac{X-\mu}{\frac{\sigma}{\sqrt{n}}}

Using our formula, we have:

z=\frac{3.00-2.65}{\frac{0.85}{\sqrt{25}}}=2.06

Using a z-table (http://www.z-table.com) we see that the area to the left of, less than, this score is 0.9803.

To find the probability it is between the mean and this, we subtract the probability associated with the mean (0.5) from this:
0.9803 - 0.5 = 0.4803.

To find B, we first find the z-score for this.  Using a z-table (http://www.z-table.com) we see that the closest z-score would be 2.33.  We then set up our equation as

2.33=\frac{3.00-2.65}{\frac{0.85}{\sqrt{n}}}=\frac{0.35}{\frac{0.85}{\sqrt{n}}}&#10;\\&#10;\\2.33=0.35\div \frac{0.85}{\sqrt{n}}=0.35\times \frac{\sqrt{n}}{0.85}

Multiplying both sides by 0.85 we have
2.33(0.85) = 0.35√n
1.9805 = 0.35√n

Divide both sides by 0.35:
1.9805/0.35 = √n

Square both sides:
(1.9805/0.35)² = n
32 ≈ n
8 0
3 years ago
Please help i need the answer asap!!!
IrinaK [193]

Answer:

35 cm

Step-by-step explanation:

You can use the Cosine Rule to find the length of a side when two sides and the included angle are given.

a² = b² + c² - 2bc cos A

a² = (36²) + (52²) - 2(36)(52) cos 42°

a² = (1296) + (2704) - (3744)(0.7431448255)

a² = (4000) - (2782)

a² = 1218

a = ✓1218

a = 34.9 cm

7 0
3 years ago
How many kg in 12980 g ? <br> Help?
Dennis_Churaev [7]

Answer:

12.98

Step-by-step explanation:

7 0
3 years ago
Given a consumption function of c = $25 + 0.75yd, the average propensity to consume equals 1 when disposable income equals
Sphinxa [80]

Answer: Disposable income = $100.

Explanation:

Since we have given that

C=\$25+0.75Y

And, average propensity to consume = 1

i.e. APC = 1

As we know the formula of APC ,

APC=\frac{C}{Y}=1\\\\\implies C=Y

So, our equation becomes,

Y=\$25+0.75Y\\\\Y-0.75Y=\$25\\\\0.25Y=\$25\\\\y=\frac{25}{0.25}\\\\Y=100

Hence, Disposable income = $100.

7 0
3 years ago
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