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3 years ago

Which equation represents the line that passes through the points (–4, 3) and (2, –12)?

Mathematics

1 answer:

aliina [53]3 years ago

3 0

Answer:

5x + 2y = –14

Step-by-step explanation:

Graph the points and find the equation from there.

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Fast hurry skdifhg did did do fish is

Amiraneli [1.4K]

Answer:

$-\frac{7}{10}$

Step-by-step explanation:

Given:

$\frac{1}{2}- 1 \frac{1}{5}$

Number line is from range -2 to 2 with all increment of ± $\frac{2}{10}$ on both sides.

Step 1: First we will solve the equation we will get;

$\frac{1}{2}- 1 \frac{1}{5}\\\\\frac{1}{2}- \frac{6}{5}$

Step 2: Now we will try to make the denominator common so we will get;

$\frac{1\times 5}{2\times 5}- \frac{6\times 2}{5\times 2}\\\\\frac{5}{10}- \frac{12}{10}$

Step 3: Now from the number line when we subtract $\frac{12}{10}$

from $\frac{5}{10}$ we get number of spaces left are - 7

Hence now it will become:

$\frac{5}{10}- \frac{12}{10}\\\\\frac{5 -12}{10}\\\\-\frac{7}{10}$

Hence the final Answer is $-\frac{7}{10}$

4 0

3 years ago

The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time t and has a half-life of 3.

blagie [28]

Answer:

$N(t) =N_o (\frac{1}{2})^{\frac{t}{t_{1/2}}}$

Where $t_{1/2}= 3.3 hr$ represent the half life and the intial amount would be $N_o = 1$

And we want to find the time in order to have a 95% of decay so we can set up the following equation:

$0.05 = 1 (0.5)^{t/3.3}$

If we apply natural log on both sides we got:

$ln(0.05) = \frac{t}{3.3} ln (0.5)$

And solving for t we got:

$t= 3.3 *\frac{ln(0.05)}{ln(0.5)}= 14.26$

So then would takes about 14.26 hours in order to have 95% of the lead to decay

Step-by-step explanation:

For this case we can define the variable of interest amount of Pb209 and for the half life would be given:

$N(t) =N_o (\frac{1}{2})^{\frac{t}{t_{1/2}}}$

Where $t_{1/2}= 3.3 hr$ represent the half life and the intial amount would be $N_o = 1$

And we want to find the time in order to have a 95% of decay so we can set up the following equation:

$0.05 = 1 (0.5)^{t/3.3}$

If we apply natural log on both sides we got:

$ln(0.05) = \frac{t}{3.3} ln (0.5)$

And solving for t we got:

$t= 3.3 *\frac{ln(0.05)}{ln(0.5)}= 14.26$

So then would takes about 14.26 hours in order to have 95% of the lead to decay

4 0

3 years ago

The Occupational Safety and Health Administration (OSHA) sets standards for a variety of occupations to help prevent accidents a

Olin [163]

54 foot and mutiply 55

6 0

3 years ago

Plz help me!!!<br> im bouta put pic give meh second

adell [148]

<span>(a) What is the capacity of the container?
Volume = length * width * height
V = 4ft * 2ft * 3ft
V = 24 ft</span>³

(b) How much material was used to make the container?Surface area = sum of 6 faces of the prism4 ft x 3 ft = 12 ft² → 12 ft² x 2 = 24 ft²4 ft x 2 ft = 8 ft² → 8 ft² x 2 = 16 ft²2 ft x 3 ft = 6 ft² → 6 ft² x 2 = 12 ft²
Surface area = 24 ft² + 16 ft² + 12 ft² = 52 ft²

6 0

4 years ago

the line Plus shows the differences some students jumped during a field day competition what fraction of the students jumped 5 1

MissTica

Answer:

⅛

Step-by-step explanation:

Each mark (x) on the plot presents the distance that each student jumped.

There are 24 marks there, so it means there is a total of 24 students whose distance jumped were recorded.

Number of students that jumped 5½ ft = 3

Fraction of the students that jumped 5½ ft = no of students that jumped 5½ ft / total number of students

= 3/24

Simplify/reduce the fraction

= 1/8

6 0

3 years ago