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3 years ago

9

Heath wants to form a triangle using a piece of wire that is 40 centimeters long. If Heath uses the entire piece of wire, which

could be the side lengths of his triangle?

1 answer:

12345 [234]3 years ago

8 0

I’m pretty sure all of them

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The temperature dropped 2 F every hour for 7 hours. What was the total number of

creativ13 [48]

Answer:

multiply 2 * 7 you get 14F

3 0

3 years ago

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A coin contains 9 grams of nickel and 16 grams of copper, for a total weight of 25 grams. What percentage of the metal in the co

Leya [2.2K]

X for coin Y for copper
9X+16Y=25

5 0

3 years ago

Read 2 more answers

Please help with this

snow_lady [41]

Answer:

B. $- \frac{9}{8}$

Step-by-step explanation:

$\huge\frac{ - 2 {a}^{ - 3} {b}^{2} }{a} \\ \\ \huge = \frac{ - 2 {b}^{2} }{a \times{a}^{ 3} } \\ \\ \huge = \frac{ - 2 {b}^{2} }{{a}^{ 4} } \\ \\ \huge = \frac{ - 2 \times {3}^{2} }{ {( - 2)}^{4} } \\ \\ \huge= \frac{ - 2 \times 9}{16} \\ \\ \huge \red{= - \frac{9}{8} }$

8 0

2 years ago

Write out the first few terms of the series Summation from n equals 0 to infinity (StartFraction 2 Over 3 Superscript n EndFract

anyanavicka [17]

Answer:

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = 15/8$

Step-by-step explanation:

The sum you are trying to understand is this.

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n}$

Remember that in general when you have a geometric series

$\sum\limits_{n = 0}^{\infty} a*r^n$ you have that

$\sum\limits_{n = 0}^{\infty} a*r^n = \frac{a}{1-r}$ and that equality is true as long as $|r| < 1$ .

Therefore here we have

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{3*5} \big)^n = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n$ and $\big|\frac{-1}{15} \big| = \frac{1}{15} < 1$

Therefore we can use the formula and

$\sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n = \frac{2}{1-(-1/15)} = \frac{2}{1+1/15} = 30/16 = 15/8$

5 0

2 years ago

Which of the following is the discriminant of the polynomial below x^2+4x+5

steposvetlana [31]

Answer:

$\huge\boxed{\sf Discriminant = -4}$

Step-by-step explanation:

Comparing it with quadratic equation $ax^2 + bx + c = 0$ , we get:

a = 1 . b = 4 and c = 5

So,

Discriminant = $b^2-4ac$

D = (4)²-4(1)(5)

D = 16 - 20

D = -4

Hence,

Discriminant = -4

$\rule[225]{225}{2}$

Hope this helped!

<h3 /><h3>~AH1807</h3>

4 0

2 years ago