A radioactive isotope is decaying at a rate of 18% every hour. Currently there


are 120 grams of the substance.


Write an equation that will represent the number of grams, y, present after


hours.


=


Can you tell me the answer please

Answer:

C. Unnumbered steps

Step-by-step explanation:

Unnumbered steps would not be a characteristic of paragraph proof. This is because it does not come to a conclusion to state a amount or detail.

Answer:

choice c

Step-by-step explanation:

if you divide, subtract, and or add it would be a decimal with a fraction and the answer would be 20.9458383 so c is most accurate

Answer:

354 m

Step-by-step explanation:

to find the height substitute t = 3.5 into the height polynomial

height = - 16(3.5)² + 550 = - 16(12.25) + 550 = - 196 + 550 = 354

Answer: 10 wreaths

Step-by-step explanation:

First identify the terms.

She has a booth that cost $200. This price will not change thus making it a Fixed cost.

Making a wreath would cost her $10 each time so this is a Variable cost.

She sells the wreath for $30 so this is the selling price.

Breakeven = Fixed Cost / Contribution margin

Contribution margin = Selling price - Variable cost

= 30 - 10

= $20

Breakeven point = 200/20

= 10 wreaths

Answer:

32

Step-by-step explanation:

y = 1/2sin[2(x + π/2)]. Now you can read that the graph is shifted from its standard starting position at (0, 0) left by π/2 and the period ...

Answer:

Step-by-step explanation:

2v-6=-14, add 6 to both sides

2v=-8, divide both sides by 2

v=-4

Answer:

v= -4

Step-by-step explanation:

-14 =2v-6

6-14=2v

-8=2v

-4=v

We cannot determine which equation represents circle A because none of the given equations match the circle formula of(x-a)² + (y-b)² = r².

In order to determine which equation represents circle A among the options given in the question, we need to apply the formula for a circle.

A circle is defined as the set of all points in a plane that are equidistant from a fixed point known as the center. This distance is known as the radius of the circle, which is denoted by "r".

Therefore, the general equation of a circle with center (a, b) and radius "r" is given by:

(x – a)² + (y – b)² = r²

We can see that all of the given equations are in this form, but with different values for the center and radius.

To determine which equation represents circle A, we need to compare the given equations to the general form of a circle equation, and see which one matches.

Here are the calculations for each option:

(x – 1)² + (y – 1)² = 5

This equation represents a circle with center (1, 1) and radius √5 ≈ 2.236. This is not circle A.

(x + 1)² + (y + 1)² = 5

This equation represents a circle with center (-1, -1) and radius √5 ≈ 2.236. This is not circle A.

(x – 1)² + (y – 1)² = 25

This equation represents a circle with center (1, 1) and radius 5. This is not circle A.

(x + 1)² + (y + 1)² = 25

This equation represents a circle with center (-1, -1) and radius 5. This is not circle A.

Therefore, none of the given equations represents circle A. We cannot determine which equation represents circle A because none of the given equations match the circle formula of(x-a)² + (y-b)² = r².

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Which equation represents circle A?

(x – 1)2 (y – 1)2 = 5 (x 1)2 (y 1)2 = 5 (x – 1)2 (y – 1)2 = 25 (x 1)2 (y 1)2 = 25.

What is the equation of a circle?

The equation for circle A in this problem is given as follows:

(x - 4)² + (y + 5)² = 36.

The equation of a circle of center \((x_0, y_0)\) and radius r is given by:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

The coordinates of the center for the circle in this problem are given as follows:

(4, -5).

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence it's measure is given as follows:

r = 6.

Thus the equation is given as follows:

(x - 4)² + (y + 5)² = 36.

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Using the Pythagorean theorem,

Given that: a = 13 inches and c = 51 inches. Plugging in the values, we get:
13² + b² = 51²
169 + b² = 2601 ⇒ b² = 2432
Finally, find the square root of 2432 to get the width:
b ≈ 49.3 inches
So, the width of the screen is approximately 49.3 inches.

Using the Pythagorean theorem, we can find the width of the flat-screen television. Given the diagonal length (51 inches) and the height (13 inches), we can solve for the width.

To find the width of the screen, we need to use the Pythagorean theorem. We know that the diagonal of the screen is 51 inches and one side of the screen (the height) is 13 inches.

So, we can use the formula:
c^2 = a^2 + b^2

where c is the diagonal (51 inches), a is the height (13 inches), and b is the width (what we're trying to find).

Plugging in the values:
51^2 = 13^2 + b^2
2601 = 169 + b^2
2432 = b^2
b ≈ 49.3

Therefore, the width of the screen is approximately 49.3 inches.

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Therefore, the 99% confidence interval for the population mean is 305 - 30 to 305 + 30, which is between 275 and 335 pages.

The correct interpretation of the 99% confidence interval is that we estimate with 99% confidence that the true population mean is between 275 and 335 pages. This is because the confidence interval is based on the sample mean and the standard deviation of the sample, and it provides a range of values within which we can be reasonably confident that the true population mean lies. The fact that the sample was randomly selected helps to ensure that the estimate is representative of the overall population of books in the library. The population standard deviation of 45 pages is used to calculate the standard error of the mean, which in turn is used to construct the confidence interval.
We estimate with 99% confidence that the true population mean is between 275 and 335 pages.

Explanation:
1. A random sample of 15 books is taken from the library.
2. The sample mean (305 pages) is calculated from the random sample.
3. The population standard deviation is given as 45 pages.
4. To construct a 99% confidence interval for the population mean, we need to use the standard deviation and the sample mean.
5. The formula for the margin of error in a confidence interval is: Margin of Error = Z-score * (Standard Deviation / \(\sqrt{SampleSize}\))
6. For a 99% confidence interval, the Z-score is approximately 2.576.
7. Margin of Error = 2.576 * (45 / √15) ≈ 30
8. The confidence interval for the population mean is: (Sample Mean - Margin of Error) to (Sample Mean + Margin of Error)
9. Therefore, the 99% confidence interval for the population mean is 305 - 30 to 305 + 30, which is between 275 and 335 pages.

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the correct interpretation of the 99% confidence interval is:

"We estimate with 99% confidence that the true population mean is between 275.08 and 334.92 pages."

Based on the given information, we can calculate the 99% confidence interval for the true population mean of pages per book in the library.

Here are the steps to calculate the confidence interval:
Identify the given information:

population standard deviation \((\sigma) = 45\) pages, sample size \((n) = 15\) books, and sample mean \((\bar x) = 305\) pages.
Calculate the standard error (SE) of the sample mean:

\(SE = \sigma / \sqrt n = 45 / \sqrt 15 \approx 11.62.\)
The critical value (z) for a 99% confidence level:

\(z \approx 2.576\) (from a standard normal distribution table or using a calculator).
Calculate the margin of error (ME):

\(ME = z \times SE \approx 2.576 \times 11.62 \approx 29.92.\)
Determine the confidence interval:

\((\bar x - ME, \bar x + ME) = (305 - 29.92, 305 + 29.92) \approx (275.08, 334.92).\)

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The required equation for the cost of renting a moving van is

            y = $39.99 + $0.19 m

According to the question we have been given that

     Rental fee = $39.99

 Additional charge = $0.19

Let the y represent the cost of renting a moving van  

and m represent the number miles driven by the van.

The expression can be formed as

            y = (fixed charge) + m*(additional charge)

            y = $39.99 + $0.19 m

hence the required equation for the cost of renting a moving van is

            y = $39.99 + $0.19 m

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Answer:

2hrs

Step-by-step explanation:

a) If there are at least 10 bagels of each type, we can calculate the number of different selections of 10 bagels by using the concept of combinations. Since there are 5 types of bagels and we need to select 10 bagels, the calculation can be done as follows:

\(\(\binom{10+5-1}{10} = \binom{14}{10}\)\)

b) If there are 3 chocolate chip and 2 cinnamon raisin bagels, and at least 10 of the other three types, we can calculate the number of different selections of 10 bagels using the same concept of combinations. In this case, we have 3 types of bagels (excluding chocolate chip and cinnamon raisin) with at least 10 bagels each. So the calculation becomes:

\(\(\binom{10+3-1}{10} = \binom{12}{10}\)\)

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Based on the information below, a statement which is true include the following: C. the number of female students in School A is more than the number of male students in School B.

In Mathematics, a pie chart is sometimes referred to as a circle graph and it can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors or sections.

By critically observing the pie chart shown in the image attached below, we can reasonably infer and logically deduce that the total number of male students in School A is less than the total number of female students in School B.

In conclusion, School A has more female students than male students.

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Answer:i think its 115 degres

Step-by-step explanation:

Answer:

Answer is C

Step-by-step explanation:

-Non terminating

-Non repeating

So it's irrational. You can find out which decimal are irrational by seeing if they end or if they repeat with a number. 2.9 terminates, 17 terminates, and 3/11 (0.2727...) doesn't terminate but repeats, so they're all rational

Answer:

The Answer is 850$

Answer:

ITZY, BLACKPINK, TWICE, NCT, MAMAMOO, EXO, MONSTA X, LOONA, Dreamcatcher, MCND, GOT7, Red velvet, (G)I-DLE, ATEEZ, OH MY GIRL, APRIL, IZ*ONE, Super Junior, Pentagon, ASTRO, X1, EVERGLOW, IKON, WINNER, Treasure, SNSD, APINK, GFRIEND, BIG BANG, BTOB, F(x), The Rose, CNBLUE, and i have many more. :) ❤

The code as a number with many digits and no spaces is: 103532128

To find the 10th term of each sequence, let's solve:

8, 13, _, 23, ...

The difference between consecutive terms is 5, 10 (missing term), 15.

We can see the difference is increasing by 5 each time.

So, the missing term has a difference of 10+5=15, meaning it is 13+15=28.

Continue the sequence: 28+20=48, 48+25=73, 73+30=103

10th term: 103

8, 11, _, 17, ...

The difference between consecutive terms is 3 (missing term), 6.

There is an incremental value by 3 here

Adding up: 17+9=26, 26+12=38, 38+15=53

10th term: 53

2, _, 8, 16, ...

The sequence appears to be doubling each term.

So, the missing term is 22=4.

Continue the sequence: 162=32, 322=64, 642=128

10th term: 128

The code as a number with many digits and no spaces is: 103532128

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Answer:8

Step-by-step explanation

Answer:

\(\frac{4}{8}\)=\(\frac{50}{100}\)

Step-by-step explanation:

Answer:

0.6060606060606

Step-by-step explanation:

Answer:

15/37

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

|-9 + 1| - 4(4)

| - 8 | - 16

8 - 16

= - 8

\(\\ \sf\longmapsto |-9+1|-4(4)\)

\(\\ \sf\longmapsto |-8|-16\)

\(\\ \sf\longmapsto 8-16\)

\(\\ \sf\longmapsto -8\)

A solution of NaOH is a really strong base, so, when it's dissolved in water to form a solution, it dissociates completely in it's ions: and its

pH = 14.8344 and rounded it will be 14.8

it dissociates completely in it's ions:

NaOH -------> Na⁺ + OH⁻

So, to calculate the pH, we first need to calculate the OH concentration. As it was stated before, a strong base like this, it will dissociate completely so the concentration of OH will be the same concentration of NaOH:

[OH⁻] = 6.83 M

The pH is calculated with the following expression:

14 = pH + pOH

So, with the OH we can calculate the pOH, and then, the pH:

pOH = -log[OH⁻]

pOH = -log(6.83) = -0.8344

So the pH:

pH = 14 - pOH

pH = 14 - (-0.8344)

pH = 14.8344 and rounded it will be 14.8

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The variance of Y conditioned on X = 1.5 is 1/3.

We have,

To compute the variance of Y conditioned on X = 1.5, we need to calculate the conditional probability density function (PDF) of Y given

X = 1.5 and then use it to find the variance.

First, let's find the conditional PDF of Y given X = 1.5.

The conditional PDF can be obtained by normalizing the joint PDF over the range of Y when X = 1.5:

f(y∣x=1.5) = f(x=1.5, y) / f(x=1.5)

To find f(x=1.5, y), we substitute x = 1.5 into the joint PDF:

f(1.5, y) = c * 1.5^0 * 1 = c

To find f(x=1.5), we integrate the joint PDF over the range of Y when

X = 1.5:

f(1.5) = ∫[max(0, 1-1.5), 2] c x \(1.5^0\) dy

Simplifying the integral:

f(1.5) = c ∫[max(0, -0.5), 2] dy

The integral bounds depend on the maximum between 0 and

(1-1.5) = -0.5, which results in [0, 2]:

f(1.5) = c ∫[0, 2] dy

Integrating:

f(1.5) = c [y] evaluated from 0 to 2

f(1.5) = c (2 - 0) = 2c

Now we can find the conditional PDF:

f(y∣x=1.5) = f(1.5, y) / f(1.5)

f(y∣x=1.5) = c / (2c) = 1/2

The conditional PDF is a constant function, indicating that Y is uniformly distributed between 0 and 2 when X = 1.5.

To compute Var(Y∣X=1.5), we can use the formula for the variance of a continuous random variable:

Var(Y∣X=1.5) = ∫(y - E(Y∣X=1.5))² x f(y∣x=1.5) dy

Since the conditional PDF is uniform over the range [0, 2], the expected value E(Y∣X=1.5) is the midpoint of the range, which is 1:

E(Y∣X=1.5) = 1

Using this value, the variance becomes:

Var(Y∣X=1.5) = ∫(y - 1)² x (1/2) dy

Evaluating the integral:

Var(Y∣X=1.5) = (1/2)  ∫[(y² - 2y + 1)] dy

Var(Y∣X=1.5) = (1/2) x [(y³/3 - y² + y)] evaluated from 0 to 2

Var(Y∣X=1.5) = (1/2) x [(2³/3 - 2² + 2) - (0³/3 - 0² + 0)]

Var(Y∣X=1.5) = (1/2) x [(8/3 - 4 + 2) - 0]

Var(Y∣X=1.5) = (1/2) x (8/3 - 2)

Var(Y∣X=1.5) = (1/2) x (2/3)

Var(Y∣X=1.5) = 1/3

Therefore,

The variance of Y conditioned on X = 1.5 is 1/3.

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