A radioactive isotope is decaying at a rate of 15% every hour. Currently there are 150 grams of the substance. Write an equation that will represent the number of grams present after n hours. How much will be left one day from now?A radioactive isotope is decaying at a rate of 15% every hour. Currently there are 150 grams of the substance. Write an equation that will represent the number of grams present after n hours. How much will be left one day from now?

Answer: 32 cups, 256 fl oz

Step-by-step explanation:

He spent $201.6 on the club altogether

The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.

Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.

By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.

For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.

Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.

Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.

Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.

Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.

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Answer:

26cm

Step-by-step explanation:

7+7+6+6=26

Answer:

26 cm

Step-by-step explanation:

7x2 because of 2 sides

12x2 because of 2 sides

14+12=26

Answer:

5/7

Step-by-step explanation:

Find the sum of 6/7 + (-1/7)

= 6/7 - 1/7

= 5/7

Answer:

\( \tt \: \star \frac{6}{7} + ( - \frac{1}{7} )\)

\( \longrightarrow \tt \frac{6}{7} - \frac{1}{7} \)

\( \longrightarrow \: \frac{6 - 1}{7} \)

\( \boxed{\longrightarrow \tt \frac{5}{7} }\)

---------HappY LearninG <3 -----------

Answer:

Logarithmic functions are the inverses of exponential functions.The logarithmic function y=loga(x)  is called the logarithmic function with base a .

When a constant c is added to the input of the parent function f(x)=loga(x), the result is a horizontal shift c units in the opposite direction of the sign on c. Our function is shifted 3 units to the right.

It is shifted 2 units vertical.(2 units down).

Answer:

Logarithmic functions are the inverses of exponential functions.The logarithmic function y=loga(x)  is called the logarithmic function with base a .

When a constant c is added to the input of the parent function f(x)=loga(x), the result is a horizontal shift c units in the opposite direction of the sign on c. Our function is shifted 3 units to the right.

It is shifted 2 units vertical.(2 units down).

Step-by-step explanation:

Please check on gogle. Hope you got it

Answer:

83 kids total

Step-by-step explanation:

There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?

girls = 54

boys = 54 - 25 = 29

54 + 29 = 83 kids total

kids that are on the playground are 83.

Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.

The total number of girls that are present is 54

The data given is that there are

25 fewer boys taht are4 present

The total number of boys will be

boys = 54 - 25 = 29

The number of kids that are present will be the total of boys and girls that are present.

Kids = boys + girls

54 + 29 = 83 kids total

The quantity of kids that are present in the playground is 83.

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The correct answer is (j - k)(x) = 10 + x.

To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).

(j - k)(x) = (25 + 3x) - (15 + 2x)

            = 25 - 15 + 3x - 2x

            = 10 + x

This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.

Therefore, the correct function is (j - k)(x) = 10 + x.

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Answer:

The c will equal 2.56

Step-by-step explanation:

The A will equal 42.48 degrees

The B will equal 96.92 degrees

Answer:

Most of the time you can go on a website that can cauculate it.

Step-by-step explanation:

How to cauculate the MAD:

Take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values. Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set. Finally, round to the nearest tenth.

Problem Solving JJ jogged around the school in 14 hours. David jogged the same distance in an hour. How much longer did JJ take than David in hours?

3J] jogged=11/4 David jogged= 5/6 ru​

___________________________________

JJ jogged around the school in 14 hours.

David jogged the same distance in an hour. JJ take than David

________________________________

Distance x = 1 (Unit )

rate

JJ 1 distance / 14 h

David 1 distance /1h

_______________________

The same distance

14 h - 1h = 13 h

_____________________

Answer

JJ took 13h more than David

Answer:

12x +18 - 3x + 6 = 6

9x + 24 = 6 / -24 from both sides

9x = - 18 / divide both sides by 9

x = -2

i hope this helps

The value of x is -2

Step-by-step explanation:

Given that

6 (2x + 3) - 3(x - 2) = 6

Expand the bracket                    

6 (2x + 3) - 3(x - 2) = 6

12x + 18 - 3x + 6 = 6

Collect like terms

12x - 3x = 6 - 6 - 18

9x = -18

Divide through by 9

9x / 9 = -18 / 9

x = -2

Therefore, the value of x is -2

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The true similarity statement are using Right Triangle Altitude Theorem :

ΔABD similar to ΔBCD

ΔABC similar to ΔADB

ΔABC similar to ΔBDC

Two triangles are said to be similar if the triangles are of the same shape but different size. The angles of the triangle will be equal and the sides are proportional.

By the Right Triangle Altitude Theorem,

If the altitude of a triangle is drawn to the hypotenuse of a right angled triangle, then the triangles formed by the division are similar to each other and both are similar to the original triangle.

Using this,

ΔABD similar to ΔBCD

ΔABC similar to ΔADB

ΔABC similar to ΔBDC

Hence the true statements are ΔABD similar to ΔBCD, ΔABC similar to ΔADB, ΔABC similar to ΔBDC.

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The complete question is given below.

The two tanks differ in terms of Filling rates and initial volumes.

We can work with the equation for tank A, which represents a linear relationship between the volume of liquid in the tank (y) and the time it has been filling (x).

The equation y = 75x + 110 tells us that the tank A is filling at a constant rate of 75 units per minute, starting with an initial volume of 110 units.

To analyze the data for tank B, we would need to know the volumes of the tank at different times as it is being filled.

If the relationship for tank B is also linear, we could find the equation that represents it by using two points from the table and the slope-intercept form of a linear equation (y = mx + b). Once we have both equations, we can compare them to see how the two tanks differ in terms of filling rates and initial volumes.

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By completing the square, the vertex form of quadratic equation is (x - 1)² - 3.

In this question we find a quadratic equation in standard form, which must be modified into vertex form by completing the square, which consists in modifying part of the equation into a perfect square trinomial. The vertex form of the quadratic equation is:

y = C · (x - h)² + k

First, write the polynomial in standard form:

x² - 2 · x - 2

Second, use algebra properties to expand the expression:

(x² - 2 · x - 2) + 0

(x² - 2 · x - 2) + 3 - 3

(x² - 2 · x + 1) - 3

Third, use the definition of perfect square trinomial:

(x - 1)² - 3

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Answer:

As the P-value (0.086) is greater than the significance level (0.01), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the return rate is less than 15%.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the return rate is less than 15%.

Then, the null and alternative hypothesis are:

\(H_0: \pi=0.15\\\\H_a:\pi<0.15\)

The significance level is 0.01.

The sample has a size n=5000.

The sample proportion is p=0.143.

\(p=X/n=717/5000=0.143\)

The standard error of the proportion is:

\(\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.15*0.85}{5000}}\\\\\\ \sigma_p=\sqrt{0.000026}=0.005\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.143-0.15+0.5/5000}{0.005}=\dfrac{-0.007}{0.005}=-1.366\)

This test is a left-tailed test, so the P-value for this test is calculated as:

\(P-value=P(z<-1.366)=0.086\)

Answer:

\(z=\frac{0.1434 -0.15}{\sqrt{\frac{0.15(1-0.15)}{5000}}}=-1.307\)  

Now we can calculate the p value with the following probability:

\(p_v =P(z<-1.307)=0.0956\)  

For this case the p value is lower than the significance level provided of 0.1 so then we can reject the null hypothesis and we can conclude that the the return rate is significantly less than 15%.

Step-by-step explanation:

Information provided

n=5000 represent the random sample taken

X=717 represent the surveys returned

\(\hat p=\frac{717}{5000}=0.1434\) estimated proportion of urvyes returned

\(p_o=0.15\) is the value to verify

\(\alpha=0.01\) represent the significance level

z would represent the statistic

\(p_v\) represent the p value

System of hypothesis

We want to verify if the return rate is less than 15% the system of hypothesis are.:  

Null hypothesis:\(p \geq 0.15\)  

Alternative hypothesis:\(p < 0.15\)  

The statistic is given by:

\(z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}\) (1)  

Replacing the info we got:

\(z=\frac{0.1434 -0.15}{\sqrt{\frac{0.15(1-0.15)}{5000}}}=-1.307\)  

Now we can calculate the p value with the following probability:

\(p_v =P(z<-1.307)=0.0956\)  

For this case the p value is lower than the significance level provided of 0.1 so then we can reject the null hypothesis and we can conclude that the the return rate is significantly less than 15%.

The x-intercepts represent a zero profit, the maximum value of the graph represents the maximum profit, An approximate average rate of change of the graph from x=3  to x=5 represents the reduction in profit from 3 to 5 and the domain is constrained by x=0.

Part A:

The x-intercepts represent a zero profit.

The maximum value of the graph represents the maximum profit.

The function increases up till the vertex and decreases after it.

This means that the profit increases as it reaches the peak at the vertex.

It decreases after the vertex up till it reaches zero.

On the left of the first zero and on the right of the second zero, the profits are negative.

Part B:

An approximate average rate of change of the graph from x=3  to x=5 represents the reduction in profit from 3 to 5.

Part C:

Simply, the domain is constrained by x=0.

We are obliged at x=6 .

This is because we have to avoid a negative profit.

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Answer:

14

Step-by-step explanation:

To find the value of 12 – 4 + 2h when h = 3, we need to substitute the value of h into the expression and simplify.

When h = 3, we can substitute this value into the expression:

12 – 4 + 2h = 12 - 4 + 2*3 = 12 - 4 + 6 = 12 - 4 + 6 = 8 + 6 = 14

So the value of 12 – 4 + 2h when h = 3 is 14.

Answer:

12 - 4 + 2h = 14

Step-by-step explanation:

Given expression,

→ 12 - 4 + 2h

Now we have to use,

→ h = 3

Let's simplify the expression,

→ 12 - 4 + 2h

→ 12 - 4 + 2(3)

→ 12 - 4 + 6

→ 8 + 6

→ 14 => {final value}

Hence, required value is 14.

Answer:

yes

doing problems like these you should always worry about the numbers underneath the X instead of the Y.

The supplied net's representation of the rectangle has a volume of 1,105.28 Plus 200.96 + 200.96.

You discovered through this activity that the formula of volume is V = l w h, which can alternatively be expressed as volume equals length times width times height. Volume is defined as the base area multiplied by the height, or V = B h. Spherical prisms and cubes are the only objects for which the form, V = l w h, is true.

Length times width equals the rectangle's area.

\(Area = length*width\)

We have provided the size of a rectangle, which is 1,105.28, and the area of a circle, which is 200.96.

Each round base has the same area.

By summing all the forms, we can get the total volume of the figure.

As a result, \(1,105.28 + 200.96 + 200.96\) is the volume of the image represented by the specified net.

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The solution is x minus 2 divided by 6 open parentheses x + 12 close parentheses.

An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. A number, a variable, or a combination of numbers, variables, and operation symbols constitutes an expression. An equation consists of two expressions joined by an equal sign. Example of a word: the sum of 8 and 3. Example of a word: The product of 8 and 3 equals 11. 8 + 3 is an expression.

Here,

=quantity x squared minus 100 over quantity x squared plus 2 x minus 120 divided quantity 6 x plus 60 over quantity x minus 2

=((x²-100)/(x²+2x-120))/((6x+60)/(x-2))

Let's simplify some of the factors:

x² - 100 = x² - 10²

= (x - 10)(x + 10)            

6x + 60 = 6 * x + 6 * 10

= 6 * (x+10)

x² + 2x - 120 =  x² + 12x - 10x - 12 * 10

= (x * x - 10 * x) + (12 * x - 12 * 10)

= x(x - 10) + 12(x - 10)

= (x - 10)(x + 12)

The solution is amount x minus 2 over 6 open parentheses x + 12 close parentheses.

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The system of the equations that has a solution of (-2, 0, 1) will be x + y + z = -1, x + y + 2z = 0, and x + 2y + 3z = 1.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The system of the equations that has a solution of (-2, 0, 1) will be

Let the number of variables be x, y, and z.

Then we have

Then the first equation will be

x + y + z = -1

Then the second equation will be

x + y + 2z = 0

Then the third equation will be

x + 2y + 3z = 1

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Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

We have: 2x = 2

=> 5x = 2x + 2x + x = 2 + 2 + x = 4 + x

So: 5x - 4 = 12

<=> 4 + x - 4 = 12

<=> x = 12

Answer: x = 12

Ok done. Thank to me :3

Answer:

Solving the equation \(4+5(m-1)=34\\\) we get m=7

Step-by-step explanation:

We need to solve the equation \(4+5(m-1)=34\\\) and find value of m

Solving using transpose method which states that if one term is added one one side, it gets subtracted on other side of equality

\(4+5(m-1)=34\\Multiply \ 5 \ with \ terms \ inside \ the \ brackets\\4+5m-5=34\\5m+4-5=34\\5m-1=34\\Adding \ 1 \ on \ both \ sides\\5m-1+1=34+1\\5m=35\\Divide \ by \ 5\\\frac{5m}{5} =\frac{35}{5}\\m=7\)

So, solving the equation \(4+5(m-1)=34\\\) we get m=7

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

The area of the rhombus, obtained from the dimensions, of the diagonals, found from the trigonometric of sines of the angle can be presented as follows;

Area = 8·√3

The area of a plane figure is the two dimensional space occupied by the figure on a plane.

The measure of the angle ABC, m∠ABC = 60°

The length of the segment AE = 2 units

The diagonals of a rhombus bisect each other at right angles, and the right angles through which they pass, therefore;

BE = ED, m∠AEB = 90°

m∠ABE = 30°

sin(30°) = AE/AB

sin(30°) = 2/AB

AB = 2/(sin(30°)) = 4

AB = 4

BE = √(4² - 2²) = √(12) = 2·√3

Therefore; AC = 2 + 2 = 4

BD = 2·√3 + 2·√3 = 4·√3

The area of a rhombus = (1/2) × The product of the length of the diagonals

Therefore;

Area of the rhombus = (1/2) × (4·√3) × 4 = 8·√3

The area of the rhombus = 8·√3

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The Volume of the box is 12 cubic unit.

We have,

Height = 1 unit

Width = 2 unit

Length = 6 unit

So, Volume of box

= l w h

= 1 x 2 x 6

= 12 cubic unit

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