How much of a radioactive kind of promethium will be left after 265 hours if the half-life is 53
hours and you start with 15,488 grams?
grams

Answer:

D.) 1/4

Step-by-step explanation:

6/9 x 3/8

6(3) /8(9)

= 18/72  

18/18=1

72/18=4

= D.) 1/4

Answer:

D. 1/4

Step-by-step explanation:

First, we will multiply  the numerator 6 × 3  = 18. Then, we'll multiply the denominators, 9 × 8 = 72. Then, divide 18 ÷ 18 = 1 and 72 ÷ 18 = 4. So there we go. the numerator is 1 and the denominator is 4. So the answer is 1/4 which is a proper fraction :) (mark this answer brainliest plz )

The second is a Uniform distribution with a minimum value of 50 and a maximum value of 100, where all values have equal frequencies.

Frequency distribution is a statistical representation of the number of occurrences of each value in a set of data. Let's consider the given set of values and describe two types of distributions for it.

Distribution Type 1: Normal Distribution with mean = 75 and standard deviation = 25.

This distribution follows a bell-shaped curve that is symmetric around the mean value of 75. The standard deviation of 25 indicates that the data is spread out with a moderate amount of variability. The highest frequency occurs at the mean value of 75, and as we move away from the mean in either direction, the frequency gradually decreases. The distribution provides information about how the values are distributed around the mean.

Distribution Type 2: Uniform Distribution U[50, 100].

This distribution is characterized by a rectangular shape, where all values have the same frequency. In this case, the minimum value is 50, and the maximum value is 100, resulting in a range of 50. The frequencies are uniform throughout the distribution, meaning that each value has the same frequency. In this case, since there are seven values in the set, each value has a frequency of 1/7.

To summarize, the given set of values can be represented by two different distributions. The first is a Normal distribution with a mean of 75 and a standard deviation of 25, which shows the overall pattern and spread of the data.

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for A

1. the GCD of 25 and 50 is 25

2.25÷2550÷25

3. Reduced Fraction 12. Therefore, 25/50 simplified to lowest term is 1/2

B

1. The GCD for 200 and 5 is 5

2. Divide the numerator and denominator by the GCD. 200÷5

5÷5

3. Therefore 200/5 simplified to lowest terms is 40/1

a) 1:2

b) 5:2

hope it helps u

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Answer:

The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.

Answer:

I have no clue sorry I want to kill whoever made math

Answer:

(-1,4)

Step-by-step explanation:

-3x + y = 7

3x + 2y = 5

eliminate the "x"s

3y = 12

y = 4

-3x + 4 = 7

-3x = 3

-x = 1

x = -1

Answer:

70.243

Step-by-step explanation:

hope this helps you!!

Answer:

0.243 + 70.3 = 70.543

Answer:

even

Step-by-step explanation:

because if you put it into mx+b=c you get it as a even answer

The radius and height of a real soda can with a double thickness in the top and bottom surfaces that minimize its surface area are approximately 2.89 cm and 13.15 cm, respectively. These dimensions are closer to the dimensions of a real soda can compared to the dimensions obtained in part (a).

a. To minimize the surface area of a cylindrical soda can, we need to find the values of radius and height that minimize the surface area equation.

Let's denote the radius of the can as r and the height as h. The volume of the can is given as 354 cm^3, so we have:

πr^2h = 354

Solving for h, we get:

h = 354 / (π\(r^2\))

The surface area of the can can be calculated as follows:

A = 2πr^2 + 2πrh

Substituting the expression for h in terms of r, we get:

A = 2πr^2 + 2πr(354 / πr^2)

Simplifying:

A = 2πr^2 + 708 / r

To minimize the surface area, we need to find the value of r that makes the derivative of A with respect to r equal to zero:

dA/dr = 4πr - 708 / r^2

Setting dA/dr = 0, we get:

4πr = 708 / r^2

Multiplying both sides by r^2, we get:

4πr^3 = 708

Solving for r, we get:

r = (708 / 4π)^(1/3) ≈ 3.64 cm

Substituting this value of r back into the expression for h, we get:

h = 354 / (π(3.64)^2) ≈ 9.29 cm

Therefore, the radius and height of the cylindrical soda can with minimum surface area and volume of 354 cm^3 are approximately 3.64 cm and 9.29 cm, respectively.

b. Real soda cans do not seem to have an optimal design because their dimensions are not the same as the ones obtained in part (a). The radius of a real soda can is 3.1 cm and the height is 12.0 cm. However, real soda cans have a double thickness in their top and bottom surfaces, which means that their dimensions are not directly comparable to the dimensions of the cylindrical can we calculated in part (a).

To find the dimensions of a real soda can with a double thickness in the top and bottom surfaces that minimize its surface area, we can use the same approach as in part (a), but with the appropriate modification to the surface area equation:

A = 4πr^2 + 708 / r

Setting dA/dr = 0, we get:

8πr^3 = 708

Solving for r, we get:

r = (708 / 8π)^(1/3) ≈ 2.89 cm

Substituting this value of r back into the expression for h, we get:

h = 354 / (π(2.89)^2) ≈ 13.15 cm

Therefore, the radius and height of a real soda can with a double thickness in the top and bottom surfaces that minimize its surface area are approximately 2.89 cm and 13.15 cm, respectively. These dimensions are closer to the dimensions of a real soda can compared to the dimensions obtained in part (a).

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Answer:

i think its the 3rd

Step-by-step explanation:i think

Answer:

A) 1962.5

Step-by-step explanation:

Area= pie r^2

50/2=25

25x25=625

625x3.14=1962.5

Answer:

4/5

Step-by-step explanation:

6 - 2 = 4

7 - 2 = 5

For 3 minutes the distance travelled by the wheel is 85.825 when the radius is 3m.

Given that,

A wheel with a radius of 3 meters will turn 1 1/2 times in one minute.

We have to find how far will that wheel have travelled after three minutes.

We know that,

The radius is 3 meters.

Perimeter of the wheel is 2πr

=2×22/7×3

=18.85

The distance travel for 1 min is 18.85×1 1/2 =28.275.

For 3 mins

28.275×3= 85.825.

Therefore, for 3 minutes the distance travelled by the wheel is 85.825 when the radius is 3m.

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Answer:

D

Step-by-step explanation:

The values of y when x is 0 1 2  is 0,3,6

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

To get the values of y, we substitute for the values of x  in the equation 3x=y

When x = 0

3(0)=y; y = 0

When x = 1

3(1)=y; y = 3

When x = 2

3(2)=y; y = 6

x   |     3x     |    y    |    (x, y)

----------------------------------------

0   |     3(0)  |   0    |   (0, 0)

----------------------------------------

 1   |     3(1)    |    3   |   (1, 3)

----------------------------------------

 2   |     3(2)  |    6   |    (2, 6)

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The probability of detecting a shift in the fraction nonconforming to 0.04 on the first day after the shift is 0.096

The expected number of nonconforming items out of the 50 items:

0.02 x 50 = 1.

The standard deviation of the number of nonconforming items:

√(50 x 0.02 x (1 - 0.02)) = 0.948.

The expected number of nonconforming items out of the 50 items after the shift:

0.04 x 50 = 2.

The standard deviation of the number of nonconforming items after the shift:

√(50 x 0.04 x (1 - 0.04)) = 1.1.

The Z-score:

(2 - 1) / (1.1 - 0.948) = 0.609.

The probability of detecting a shift in the fraction nonconforming to 0.04 on the first day after the shift:

The probability of detecting a shift in the fraction nonconforming to 0.04 on the first day after the shift is determined by calculating the Z-score. Z-scores measure.

The probability of detecting a shift is calculated using the Z-score and the standard normal distribution.

P(Z > 0.609) = 0.096.

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Answer: y=5x+b

Step-by-step explanation:

I used the slope intercept equation, which supplied me the solution.

m=5

b=0

An equation which is the inverse of y = 2x² - 8 include the following: B. \(y= \pm \sqrt{\frac{x+8}{2} }\)

In Mathematics, an inverse function simply refers to a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).

In order to determine the inverse of any function, you should swap both the input value (x-value) and output value (y-value) as follows;

f(x) = y = 2x² - 8

x = 2y² - 8

2y² = x + 8

By dividing both sides of the equation by 2, we have the following:

y² = (x + 8)/2

By taking the square root of both sides of the equation, we have the following:

y = √[(x + 8)/2]

\(y= \pm \sqrt{\frac{x+8}{2} }\)

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Answer:30

Step-by-step explanation:

In a triangle, the midsegment is half of base (AC)

so, AC would be double of DE, meaning 15×2=30

Answer:

240 feet

Step-by-step explanation:

hope this helps :)

Answer:

(x-1)^2=0#

Explanation:

#x^2-2x+1=0#

Let's start by subtracting #1# from both sides so that the #x# terms are isolated:

#x^2-2x=-1#

Now, let's compute #(b/2)^2# and add it to both sides of the equation:

#(b/2)^2=(-2/2)^2=1#

#x^2-2x+1=-1+1#

Let's factorize the left hand side and simplify:

#(x-1)(x-1)=0#

#(x-1)^2=0#

A real relationship, not accounted by other variables, is a causal relationship. This type of association suggests that one variable directly causes changes in the other. In other words, there is a cause-and-effect relationship between the two variables.

In this type of association, changes in one variable directly cause changes in the other variable, without any other variables influencing the relationship. This contrasts with spurious or indirect associations, where the relationship between two variables is due to the influence of other variables. To determine if an association is a real relationship, researchers often control for potential confounding variables to isolate the direct effect of the variables in question. However, it is important to note that establishing a causal relationship requires careful research design and data analysis to rule out the effects of other variables that could be influencing the relationship.

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Answer: Her mistake is that she would have to make each piece 167.2 inches long to have 5 equal pieces.

Step-by-step explanation:

7 * 5 ≠ 836

836/5 = 167.2

Answer:

24

Step-by-step explanation:

it is correct

...,..............

Answer: y=0,5x²-x-1,5.

Step-by-step explanation:

\((-1;0)\ \ \ \ (3;0)\ \ \ \ (1;-2) \ \ \ \ y=ax^2+bx+c\ ?\\\left\{\begin{array}{ccc}a*(-1)^2+b*(-1)+c=0\\a*3^2+b*3+c=0\\a*1^2+b*1+c=-2\end{array}\right \ \ \ \ \ \left\{\begin{array}{ccc}a-b+c=0\ \ (1)\\9a+3b+c=0\ (2)\\a+b+c=-2\ (3)\end{array}\right \\\)

We summarize (1) and (3):

\(2a+2c=-2\ |:2\\a+c=-1\ \ \ \ \Rightarrow\\a+b+c=-2\\(a+s)+b=-2\\-1+b=-2\\b=-1.\)

Substitute b=-1 into (2):

\(9a+3*(-1)+c=0\\9a-3+c=0\\9a+c=3\ \ (5).\\\)

From (5) subtract (4):

\(8a=4\ |:8\\a=0,5.\ \ \ \ \Rightarrow\\\)

Substitute a=0,5 into (4):

\(0,5+c=-1\\c=-1,5.\)

Hense:

y=0,5x²-x-1,5.

Answer:

I believe it would be 4 (or D)

Step-by-step explanation:

Just search up the real number system for a good diagram (I can't include one here, sorry)

Basically D is natural numbers, basically 1,2,3, etc

when you divide 60 by 15 you get a natural number, which is 4, which is why the answer would be D

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)

Answer:

see explanation

Step-by-step explanation:

the equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

y = x² - 4x - 1

using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 4x

y = x² + 2(-2)x + 4 - 4 - 1

y = (x - 2)² - 5

with vertex = (2, - 5 )

Answer:

I believe cubic function

Step-by-step explanation:

the x^3 represents a cubic function

Answer:

you did it wrong you have to subtract X from 8900.

First you want to subtract 390 from 8900 and that equals