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3 years ago

Graph the solution for the following linear system x+y>0 x+y+5<0

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

5 0

Undefineeddd, calculator said so.

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An auction company sold 15 handheld computers last month. the final prices (in dollars) at which the items sold are as follows.

matrenka [14]

Hi,

a. construct a stem and leaf plot

Ans

20: 5

21: 3 7

22: 9 9 9 9

23: 1 6

24: 5 7 7 8 8

25: 2

b. summarize what this plot tells you about the data

Ans

This plot tells that most numbers of computers were sold at prices in the range of $220-229 and $240-249. For other prices, sales were lower.

Hoped I Helped

5 0

4 years ago

Read 2 more answers

A bone fragment has 67% of the parent Pb-210 remaining. The half-life of Pb-210 is 22 years. How old is the bone fragment?

Korolek [52]

To solve this question we will use two important formulas.

The first formula involves the calculation of the decay constant, $k$ which is to be found as:

$k=\frac{0.6931}{T_{\frac{1}{2}}}$

where $T_{\frac{1}{2}}$ is the half life of Pb-210 which is given to be 22 years in the question.

Thus, $k=\frac{0.6931}{22}\approx0.0315$

Now, we will use the second formula which is called the function of decay formula and is given as:

$N = N_{0} e^{-kt}$

where $N$ percentage of Pb-210 remaining in the bone at present, which in our case is 67% or 0.67

$N_{0}$ percentage of Pb-210 to start with, which is always 100% or 1.

Plugging in all these values in the decay formula we are supposed to find the time, $t$ .

$0.67=1\times e^{-0.0315t}$

Taking natural log on both sides we get:

$ln(0.67)=-0.0315t$

$\approx-0.4005=-0.0315t$

$\therefore t=\frac{0.4005}{0.0315}$

$t\approx12.71$ years

Therefore the bone fragment is about 12.71 years old.

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4 years ago

Six marbles are placed in a bag. One is green, two are yellow, and three are red. Without looking, Karen chooses one. What is th

sp2606 [1]

Answer:1/2

Step-by-step explanation:

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4 years ago

This is a variation acitivity:

sergey [27]

$\bf \qquad \qquad \textit{direct proportional joint variation} \\\\ \textit{\underline{y} varies jointly with \underline{x} and \underline{z}}\qquad \qquad y=kxz\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf \stackrel{\textit{\underline{I} varies jointly with \underline{P} and \underline{t}}}{I=kPt} \\\\\\ \textit{we also know that } \begin{cases} P=2000\\ t=4\\ I=320 \end{cases}\implies 320=k(2000)(4)\implies \cfrac{320}{(2000)(4)} \\\\\\ 0.04=k\qquad therefore\qquad \boxed{I=0.04Pt} \\\\\\ \textit{if P=5000 and t=7, what is \underline{I}?}\qquad I=0.04(5000)(7)\implies I=1400$

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3 years ago

F(x) = x + 2x2 - 4x - 3

maks197457 [2]

It is C I believe have a great day

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4 years ago