Find volume and where to draw a line to separate a and b<br>

Lodine-131 is a very useful radioactive isotope that is used to locate and treat cancerous tumors in the body and has a half lif

Dvinal [7]

Using an exponential function, it is found that 4 mg of the substance would still be left after 32 days.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

In this problem, considering that the initial amount if of 64 mg, and we are working with half-lifes, the equation is given by:

$A(t) = 64(0.5)^t$

32 days is 32/8 = 4 half-lifes, hence the amount remaining in mg is given by:

$A(4) = 64(0.5)^4 = 4$

More can be learned about exponential functions at brainly.com/question/25537936

8 0

2 years ago

Twenty percent of what number is equal to five percent of 680

jolli1 [7]

Answer:

170

Step-by-step explanation:

5/100 ×680

=34

20%=34what about 100%=?

(100×34)÷20

170

8 0

3 years ago

Manuela solved the equation 3−2|0.5x+1.5|=2 for one solution. Her work is shown below. 3−2|0.5x+1.5|=2 −2|0.5x+1.5|=−1 |0.5x+1.5

forsale [732]

Answer:

x=-4

Step-by-step explanation:

The given equation is

$3-2|0.5x+1.5|=2$

Subtract 3 from both sides.

$3-2|0.5x+1.5|-3=2-3$

$-2|0.5x+1.5|=-1$

Divide both sides by -2.

$\dfrac{-2|0.5x+1.5|}{-2}=\dfrac{-1}{-2}$

$|0.5x+1.5|=0.5$

If |x|=a, then x=a or x=-a.

$0.5x+1.5=\pm 0.5$

Case 1: $0.5x+1.5=0.5$

Subtract 1.5 from both sides.

$0.5x=0.5-1.5$

$0.5x=-1$

Divide both sides by 0.5.

$x=-2$

Case 2: $0.5x+1.5=-0.5$

Subtract 1.5 from both sides.

$0.5x=-0.5-1.5$

$0.5x=-2$

Divide both sides by 0.5.

$x=-4$

Therefore, one solution is x=-2 and other solution is x=-4.

5 0

4 years ago

Read 2 more answers

Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use: Step 1: Choose

TEA [102]

Answer:
Steps 3 and 4 are incorrect because
(a) An incorrect value for slope was obtained in step 3.
(b) The incorrect value for the slope was used in step 4.

Explanation:
Let us evaluate Talia's steps.

Step 1: Select (2, 5) as a point on the line.
CORRECT

Step 2: Select another point (1, 3) on the line.
CORRECT

Step 3: Count units to the right and count units up, to determine the slope.
Units right = 2 - 1 = 1
Units up = 5 - 3 = 2
Slope = (Units up)/(Units right) = 2/1 = 2
INCORRECT because Talia did not obtain a slope of 2.

Step 4: Substitute obtained values in the point-slope form.
(y - y1) = m(x - x1). If we select the point (1, 3), then
y - 2 = 2(x - 1).
Talia's equation is INCORRECT because she used an incorrect value
for the slope.

8 0

3 years ago

Read 2 more answers

Step 1 of 3: Each year a nationally recognized publication conducts its Survey of America’s Best Graduate and Professional Schoo

lukranit [14]

Answer:

Step-by-step explanation:

Hello!

Given the variables

Y: Starting salary of a graduate at a top business school

X: GMAT score of the business school

The sample used had a size n=20

The estimated regression equation was ^Y= -92040 + 228Xi

The correlation coefficients were r= 0.81

You need to know if r is statistically significant at a 0.05 level:

Assuming the hypotheses are:

H₀: There is a linear correlation between the variables of interest

H₁: There is no linear correlation between the variables of interest

α: 0.05

This test is two-tailed.

The p-value for a r=0.81 and n=20 is 0.000015

Using the p-value approach, the decision rule is:

If p-value ≤ α, reject the null hypothesis

If p-value > α, do not reject the null hypothesis

In this case, the p-value is less than α, the decision is to reject the null hypothesis.

At a 5% level, you can conclude that the coefficient of correlation is statistically significant.

4 0

3 years ago

Find volume and where to draw a line to separate a and b​

Find volume and where to draw a line to separate a and b