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2 years ago

What is the product of (5y-3)^2

Mathematics

2 answers:

Airida [17]2 years ago

5 0

Answer:

$\sf 25y^2-30y+9$

___________

$\sf Solve$

Expand the expression using the factors within the range of y.

___________

Maurinko [17]2 years ago

3 0

Answer:

25y² - 30y + 9

Step-by-step explanation:

Hello!

Solve by expanding:

(5y - 3)²
(5y - 3)(5y - 3)
5y(5y - 3) - 3(5y - 3)
25y² - 15y - 15y + 9
25y² - 30y + 9

Remember, exponents are not distributive, meaning (5y - 3)² is not 25y² + 9.

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When measuring and recording vital signs, healthcare professionals sometimes have to convert units of measurement, especially wh

nataly862011 [7]

Answer:

116°F = 46.67 °C and 6 Pounds = 2721.55 grams

Step-by-step explanation:

The information given in the question is 1°F = -17.22°C

1 Kilogram = 1000 grams = 2.2 pounds

And we have to convert 116° F to degrees Celsius and Six pounds to grams.

1) We know (°F-32)×5/9 =°C

So by putting the value of °F as 116 ⇒ (116-32)×5÷9 = °C

⇒ °C = $\frac{(84)(5)}{9}$

⇒ °C = 46.67

2). ∵ 2.2 Pounds = 1000 grams

∴1 Pound = 1000/2.2 = 454.54 grams

∴ 6 pounds = 6× 454.54 grams

= 2721.55 grams

4 0

3 years ago

Lenny makes $55,000 and is getting annual raises of $2,500. Karl makes $62,000, with annual raises of 2,000. How many years, y,

bekas [8.4K]

55,000 + 2,500x = 62,000 + 2,000x

subtract 55,000 from both sides
2,500x = 7,000 + 2,000x

now subtract 2,000x from both sides

500x = 7,000
x= 14 years

8 0

3 years ago

Great tennis players use Hexrackets. There if you use a Hexracket, you are a great tennis nyer.

34kurt

Answer:

The conclusion is invalid.

The required diagram is shown below:

Step-by-step explanation:

Consider the provided statement.

Great tennis players use Hexrackets. Therefore, if you use a Hexracket, you are a great tennis player.

From the above statement we can concluded that Great tennis players use Hexrackets. But it may be possible that some people who use a haxracket are not great tennis player.

Therefore, the conclusion is invalid.

The required diagram is shown below:

8 0

3 years ago

A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects

Allisa [31]

Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

Let X denote the number of green candies.

The probability of green candies is, p = 0.20.

Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.

So, n = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable X follows a binomial distribution with parameter n = 30 and p = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

$P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328$

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

= 0.17228 + 0.17946 + 0.15328

= 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

7 0

3 years ago

There are 3 in. of snow on the ground when it begins to snow 0.5 in./h . Which linear equation represents the total depth of the

dexar [7]

There are 3 in. of snow on the ground when it begins to snow 0.5 in./h.

Initial depth of snow = 3 in.

it begins to snow 0.5 in./h. The constant rate of snow is 0.5. So slope = 0.5

Let x be the number of hours

y be the total depth of the snow

To frame linear equation we use y=mx+b

where m is the slope and b is the y intercept (initial depth of snow)

We know m=0.5 and b=3

Replace it in the equation

y = 0.5x + 3

The linear equation that represents the total depth of the snow(y), in inches, after x hours

is y= 0.5x + 3

7 0

3 years ago

Read 2 more answers