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2 years ago

Problem

Mathematics

2 answers:

SSSSS [86.1K]2 years ago

6 0

Answer:

8.7*10^-5

Step-by-step explanation:

lakkis [162]2 years ago

5 0

$\bf \cfrac{\stackrel{\textit{human hair}}{9\times 10^{-5}}}{\stackrel{\textit{spider hair}}{3\times 10^{-6}}}\implies \cfrac{9}{3}\times \cfrac{10^{-5}}{10^{-6}}\implies \cfrac{3}{1}\times \cfrac{10^{-5}10^{6}}{1}
\\\\\\
3\times 10^{-5+6}\implies 3\times 10^1$

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Which expression is equivalent to t2 – 36?

defon

Answer:

(t + 6)(t - 6)

Step-by-step explanation:

(t - 6)(t + 6)

(t . t) + (t . (6) + ((-6) . t) + ((-6) . 6)

= t² - 6t + 6t - 36

= t² - 36

so,

t² - 36 = (t + 6)(t - 6)

6 0

2 years ago

The difference between the roots of the equation 3x2+bx+10=0 is equal to 4 1 3 . find<br> b.

inna [77]

Given that the difference between the roots of the equation $3x^2+bx+10=0$ is $4 \frac{1}{3} = \frac{13}{3}$ .

Recall that the sum of roots of a quadratic equation is given by $- \frac{b}{a}$ .

Let the two roots of the equation be $\alpha$ and $\alpha + \frac{13}{3}$ , then

$\alpha + \alpha + \frac{13}{3} =2 \alpha + \frac{13}{3} =- \frac{b}{a} =- \frac{b}{3} \\ \\ i.e.\ \ 2 \alpha + \frac{13}{3}=- \frac{b}{3}$ . . . (1)

Also recall that the product of the two roots of a quadratic equation is given by $\frac{c}{a}$ , thus:

$\alpha \left( \alpha + \frac{13}{3} \right)= \alpha ^2+ \frac{13}{3} \alpha = \frac{c}{a} = \frac{10}{3} \\ \\ i.e.\ \ \alpha ^2+ \frac{13}{3} \alpha=\frac{10}{3}$ . . . (2)

From (1), we have:

$2 \alpha =- \frac{b}{3} - \frac{13}{3} \\ \\ \Rightarrow \alpha =- \frac{b}{6} - \frac{13}{6}$

Substituting for alpha into (2), gives:

$\left(- \frac{b}{6} - \frac{13}{6}\right)^2+ \frac{13}{3} \left(- \frac{b}{6} - \frac{13}{6}\right)= \frac{10}{3} \\ \\ \Rightarrow \frac{b^2}{36} + \frac{13b}{18} + \frac{169}{36} - \frac{13b}{18} - \frac{169}{18} = \frac{10}{3} \\ \\ \Rightarrow \frac{b^2}{36} - \frac{289}{36} =0 \\ \\ \Rightarrow \frac{b^2}{36} = \frac{289}{36} \\ \\ \Rightarrow b^2=289 \\ \\ \Rightarrow b=\pm\sqrt{289}=\pm17$

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2 years ago

How do I find the correct slope on a graph?

-BARSIC- [3]

Answer:

To find the slope of a line from a graph, first choose 2 points along the line and write down the X and Y coordinates for each. Next, find the rise by taking the difference between the 2 Y coordinates. If the line slopes up as it moves to the right, the rise will be positive. If it slopes down, the rise will be negative.

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Jeremy has a weekend job as a soccer referee. One weekend, he earns $140 by working 4 games. Another weekend, he earns $210 by w

Ilya [14]

Answer:

$140 divided by 4 games = 35$ per games next $210 divided by 6 games = 35 also so the slope is 35 answer c

Step-by-step explanation:

i am good at this type of math

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1 year ago

Read 2 more answers

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KiRa [710]

Answer:

Mr Doyle washed the most.

4/15 still need to be washed.

Step-by-step explanation:

2/5=6/15 Mr Doyle

1/3=5/15 Son

so Mr Doyle washed the most.

Together they washed 11/15 of the laundry so 4/15 is left to wash.

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1 year ago