Which sets of side lengths could form a triangle? Choose all that apply.

Element X decays radioactively with a half life of 6 minutes. If there are 790 grams of Element X, how long, to the nearest tent

frosja888 [35]

Answer:

It takes 27 minutes for the element to decay to 35 grams

Step-by-step explanation:

Given:

Initial amount = 790 grams

Final amount = 35 grams

Half life = 6 minutes

To find:

Time taken for the element to reduce into 35 grams = ?

Solutions

Time taken = $half life \times \frac{ log(\frac{ initial amount}{final amount})}{log(2)}$

On substituting the values given, Time taken

= $6 \times \frac{log(\frac{790}{35})}{log(2)}$

= $6 \times \frac{log(22.57)}{log(2)}$

= $6 \times 4.496$

= 26.97

= 27 minutes

7 0

3 years ago

Please help me It's pythagorean theorem

Over [174]

Answer: 4

Step-by-step explanation:

3^2 + b^2 = 5^2

9 + b^2= 25

b^2 = 16

b = ±4

5 0

2 years ago

Read 2 more answers

HELP PLEASE<br> Find the outlier of the set of data: 20, 23, 19, 25, 4, 18, 26

STALIN [3.7K]

Answer:

I think is the 23

I hope help you

5 0

3 years ago

1. Write an equation in slope-intercept form for a line passing through (-3,3) with a slope of 1.

PIT_PIT [208]

1)

$\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{3})~\hspace{10em} slope = m\implies 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-3=1[x-(-3)] \\\\\\ y-3=1(x+3)\implies y-3=x+3\implies y=x+6$

2)

$\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{12}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{12-2}{1-(-4)}\implies \cfrac{10}{1+4}\implies \cfrac{10}{5}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-2=2[x-(-4)]\implies y-2=2(x+4) \\\\\\ y-2=2x+8\implies y=2x+10$

8 0

4 years ago

The center of a circle is at (2, −5) and its radius is 12.

stiv31 [10]

Answer:

The equation of the circle is (x - 2)² + (y + 5)² = 144 ⇒ A

Step-by-step explanation:

The form of the equation of the circle is (x - h)² + (y - k)² = r², where

r is the radius of the circle

h, k are the coordinates of the center of the circle

Let us solve the question

∵ The center of the circle is at (2, -5)

→ From the rule above

∴ h = 2 and k = -5

∵ The radius of the circle is 12

∴ r = 12

→ Substitute the values of r, h, and k in the form of the equation above

∵ (x - 2)² + (y - -5)² = (12)²

∴ (x - 2)² + (y + 5)² = 144

∴ The equation of the circle is (x - 2)² + (y + 5)² = 144

7 0

3 years ago