Is this Valid, or false? <br> 5 less than is the difference of twice k and 12 when k equals 4.

Carly withdraws $18 from her bank account which number line represents this amount ?

taurus [48]

Answer:

it would be D

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

You go to the doctor and he gives you 13 milligrams of radioactive dye. After 20 minutes, 4 milligrams of dye remain in your sys

Rudik [331]

Answer:

7 minutes

Step-by-step explanation:

At first, I thought this was a hal-life problem, but there was too much left unknown to fill in the half-life equation. So I went with exponential.

The general form of an exponential equation is

$y=a(b)^x$

where a is the initial amount given, b is the growth/decay rate (ours is decay since the amount of dye is decreasing), y is the amount of dye in your system after x minutes.

We have to come up with a model for this situation before we can answer the question. The equation has 2 unknowns: a and b. We need to solve for those. In order to do that, we need 2 coordinate points to sub in for x and y. The first coordinate point in (time, amt dye) is (0, 13). This means that immediately upon arriving at the doctor, after 0 time has gone by, you were given 13 mg of dye.

The second coordinate point is (20, 4). This means that after 20 minutes, you had 4 mg of dye in your system.

Use the first coordinate point to solve for a:

$13=a(b)^0$

Since anything in the world raised to a power of 0 is 1, then

a = 13.

Now we will use the second coordinate point along with that value of a to solve for b:

$4=13(b)^{20}$

Begin by dividing both sides by 13 to get

$\frac{4}{13}=b^{20}$

Now you have to undo that power of 20 by taking the 20th root of both sides:

$\sqrt[20]{\frac{4}{13} }=\sqrt[20]{b^{20}}$

The right side simplifies down to just b, and the 20th root of the left side is .9427701685

Therefore, b = .9427701685

The model, then, is:

$y=13(.9427701685)^x$

We need to use that model now to solve for x, the number of minutes it will take for y = 2 mg of dye to remain in your system. That looks like this:

$2=13(.9427701685)^x$

Begin by dividing both sides by 13 to get

$\frac{2}{13}=.9427701685^x$

We need to get that x out of the position in which it is currently sitting, which is as the exponent. Do that by taking the natural log of both sides. That allows us to bring the exponent down out front:

$ln(\frac{2}{13})=x*ln(.9427701685)$

To solve for x, divide both sides by ln(.9427701685). I have entered the values of the natural logs in the next step:

$\frac{-.4054651081}{-.0589327498}=x$

Divide to get

x = 6.9 or 7 minutes

7 0

4 years ago

The graph of function g (x) predicts the profit of jimmy's famous Jer*y for a week. The x-axis represents the number of employee

Rashid [163]

By identifying the maximums, we see that in each blank we need to write:

1) 2

2) 2

3) greater.

<h3>How to complete the given statement?</h3>

First, we need to find the maximum of the function g(x).

You can see that for x = 2 we have the maximum of the parabola, which gives y = 9.

Then the maximum profit is got when 2 employees earn overtime.

We also need to find the maximum for the table. Notice that the maximum value of the table also happens for x = 2, and this time the maximum is y = 16.

So we can see that the maximum of Cathy's cupcakes is larger than the maximum of Jimmy's.

If you want to learn more about maximums:

brainly.com/question/19819849

#SPJ1

5 0

2 years ago

I NEED HELP ASAP

lozanna [386]

Y=3x-18 is the answer

4 0

3 years ago

Fizzy Waters has been involved in multiple lawsuits regarding the alkaline substance concentration in their product and getting

ser-zykov [4K]

Answer:

Step-by-step explanation:

For the sample, n = 12

Mean, x = (158.2 + 162.8 + 161.5 + 161.2 + 166.5 + 160.1 + 158.4 + 175.6 + 159.9 + 168.8 + 161.9 + 163.7)/12 = 163.22

Variance, s² = (summation(x - mean)²/n

Summation(x - mean)² = (158.2 - 163.22)^2 + (162.8 - 163.22)^2 + (161.5 - 163.22)^2 + (161.2 - 163.22)^2+ (166.5 - 163.22)^2 + (160.1 - 163.22)^2 + (158.4 - 163.22)^2 + (175.6 - 163.22)^2 + (159.9 - 163.22)^2 + (168.8 - 163.22)^2 + (161.9 - 163.22)^2 + (163.7 - 163.22)^2 = 273.5368

Variance, s² = 273.5368/12 = 22.79

This is a test for a single variance. We would set up the test hypothesis.

For the null hypothesis,

H0: σ² ≥ 25

For the alternative hypothesis,

H1: σ² < 25

The formula for determining the test statistic,x² is

x² = (n - 1)s²/σ²

Where n - 1 is the degree of freedom, df.

df = 12 - 1 = 11

x² = (11 × 22.79)/25 = 10.0276

For a test of 90% reliability, Confidence level = 0.9

Cl = 1 - alpha(level of significance)

alpha = 1 - 0.9 = 0.1

The critical value from the chi-square distribution table is 17.28. Since 17.28 > 10.0276, we would reject the null hypothesis. Therefore, the filling machine does not need repair because the variance of the process is not more than 25 oz.

8 0

3 years ago

Is this Valid, or false? 5 less than is the difference of twice k and 12 when k equals 4.