This is AlgebraFactor the trinomial or state that it is prime

1. t^2 +2t - 48 =

2. t^2 + 16t - 48 =

3. t^2 - 13t - 48 =

4. x^2 - 17x + 42 =

5. x^2 + 13x - 30 =

Answers

Answer 1

Answer: 1. ( t + 8) (t - 6) t = -8 and 6
2. prime
3. (t - 16) (t + 3) t = 16 and -3
4. prime
5. (t + 15) (t - 2) t = -15 and 2

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A healthy human heart beats about 1,533,000 times in a year. A sparrow's heart beats about 241,776,000 times in a year. About how many times faster does the sparrow's heart beat compared to the human heart? Estimate using a single digit times a power of 10.

Answers

Answer:

2 * 10^2 times

Step-by-step explanation:

To get the number of times faster the Sparrow’s heart beat compared to the human heart, we divide the number of times the Sparrow’s heart beat compared to a human’s

That will be;

(241,776,000)/(1,533,000) = 157.7142857142857

Now, we want to use a single digit times a power of 10

That will be 1.577 * 10^2

Since it is a single digit, it will be 2 * 10^2

Final answer:

The sparrow's heart beats about 158 times faster compared to the human heart.

Explanation:

A healthy human heart beats about 1,533,000 times in a year, while a sparrow's heart beats about 241,776,000 times in a year.

To find the ratio, we divide the number of times the sparrow's heart beats by the number of times the human heart beats, which gives us:

Ratio = Sparrow's Heart Beats / Human Heart Beats

Ratio = 241,776,000 / 1,533,000

Ratio = 158

Therefore, the sparrow's heart beats about 158 times faster compared to the human heart.

Learn more about Heart rate here:

brainly.com/question/1155838

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(3-5i)(2+9i)+(7+2i)(7-2i)

Answers

$i^(2) = -1$

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$(3-5i)(2+9i)+(7+2i)(7-2i) = \n \n = 6 + 27i - 10i - 45i^(2) + 49 - 14i + 14i - 4i^(2) = \n \n =55 + 17i + 45 + 4 = \boxed{104 + 17i}$

Kyle asks his friend Jane to guess his age and his grandmother’s age. Kyle says his grandmother is not more than 80 years old. He says his grandmother’s age is, at most, 3 years less than 3 times his own age. Jane writes this system of inequalities to represent k, Kyle’s age, and g, Kyle’s grandmother’s age. Inequality 1: g > 80 Inequality 2: g ≤ 3k – 3 Which inequality did Jane write incorrectly, and how could it be corrected?

Answers

not more tha 80 means
g is less than or equal to 80 or
g<80

grandmothers age is at most, 3 years less than 3 tmes his age
g is equal to or less than 3 years less than 3 times k
g<-3+3k

we have
g<80 and
g<3k-3

the first one is incorerct, it is written as g>80 in the question, but it should be g<80

Answer:

LETTER ANSWERR IS A.

Step-by-step explanation:

To the nearest tenth, what is the length of the hypotenuse of an isosceles right triangle with a leg of 7 3 inches? A) 15.7inches
B) 16.2 inches
C) 17.1 inches
D) 18.5 inches