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3 years ago

Evaluate f(t)=-2t^2+ 1 for f(-3). PLEASE HELP I BEG YOU!!!!!!!!!!!

Mathematics

1 answer:

choli [55]3 years ago

6 0

Answer:

$f(-3)=-17$

Step-by-step explanation:

→ Substitute in t = -3 into $f(t)=-2t^{2} +1$

$f(-3)=-2*-3^{2} +1$

→ Simplify

$f(-3)=-2*9 +1$

→ Simplify

$f(-3)=-18 +1$ ⇔ $f(-3)=-17$

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Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (in miles per gallon

Leviafan [203]

Answer: 0.82 miles per gallon

Step-by-step explanation:

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The formula to find the standard deviation is given by :-

$\sigma=\sqrt{\dfrac{\sum_{i=1}^n(x_i-\overline{x})^2}{n-1}}$

First we find mean of the given data ,

$\overline{x}=\dfrac{\sum^n_{i=1}x_i}{n}\\\\=\dfrac{45+44+43+44+45+44+43}{7}=\dfrac{308}{7}=44$

Now,

${\sum_{i=1}^n(x_i-\overline{x})^2=(1)^2+(0)^2+(-1)^2+(0)^2+(1)^2+(0)^2+(-1)^2$

$=1+1+1+1=4$

Now, standard deviation of the above results will be :-

$\sigma=\sqrt{\dfrac{4}{7-1}}\\\\=\sqrt{\dfrac{4}{6}}\\\\=\dfrac{2}{\sqrt{3}}=0.816496580928\approx0.82$

Hence, the standard deviation of these results = 0.82 miles per gallon

8 0

4 years ago

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aleksandrvk [35]

Answer:

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Step-by-step explanation:

1. You'll need to simplify each term. You'll get 32 √ 5-12 √ 5.

2. After you subtract 12 √ 5 from 32 √ 5, you'll get 20 √ 5.

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