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          Value of constant 'k' = -0.041097

          Equation modeling the exponential decay → [tex]\text{ln}\frac{N}{N_0}=-0.41097t[/tex]

         [tex]\text{ln}\frac{N}{N_0}=-kt[/tex]

         Here, N = Amount remaining after 't' years

                   N₀ = Initial amount of the radioactive element

                    k = Constant

                    t = Period of decay

Given in the question,

Substitute these values in the expression for the value of 'k',

[tex]\text{ln}\frac{75}{100}=-7k[/tex]

[tex]k=\frac{1}{7}[(\text{ln}(75)-\text{ln}(100)][/tex]

[tex]k=\frac{1}{7}[4.317488-4.605170][/tex]

k = -0.041097

Equation modeling the exponential decay → [tex]\text{ln}\frac{N}{N_0}=-0.41097t[/tex]

  Therefore, value of constant 'k' = -0.041097

               Equation modeling the exponential decay → [tex]\text{ln}\frac{N}{N_0}=-0.41097t[/tex]

Learn more about the radioactive decay here,

https://brainly.com/question/9660135?referrer=searchResults

Answer:

A

Step-by-step explanation:

Vertical Line test will determine if a graph is a function or not

Answer:

Yes! Total received was $84.525

Step-by-step explanation:

Note that 5% is another way of writing

5

100

Charge:

→

$

70

+

(

5

100

×

70

)

=

$

73.5

15% tip

→

15

100

×

Charge  

→

15

100

×

$

73.5

=

$

11.025

Total income:

→

$

73.5

+

$

11.025

84.525

=

$Did they receive more than $82

→

Yes

Answer:

Total received was $84.52

Answer:

£104

Step-by-step explanation:

5:3 = 65:X

65÷5=13

X=13×3

x=39

total=65+39

total=104

129 million I took the application already

Answer:

x = 3

Step-by-step explanation:

I hope this helps!

Answer:

x = 3

Step-by-step explanation:

I hope this helps

Answer:

6.28 x 3.14 = 19.7192

Step-by-step explanation:

Answer:

52.5

Step-by-step explanation:

Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

Answer:

The mean is 47.875 and the median is 51

Explanation:

To find the mean you have to add up all of the numbers together, and then divide that number (383) by how many numbers there are (8) so then you would get 47.875. Now you have to find the median. To find the median you have to place the numbers from the lowest to the greatest which would be 42, 51, 51, 51, 55, 64, 69. Then you basically just pick the number in the middle which is 51, so 51 is the median.

Answer:

The answer (in scientific notation) should be 1.8 x 10^2.

Step-by-step explanation:

(2 x 10^6) x (0.00009) = ?

(2 x 1,000,000) x (0.00009) = ?

2,000,000 x (0.00009) = 180

180 as a scientific notation is 1.8 x 10^2.

Answer:

$ 1.90 for 1 Gallon

Step-by-step explanation:

11.40/6 = 1.90

another way you can show the answer is: $1.90/1 Gal.

Answer:

each side 5

Step-by-step explanation:

with 2 equal internal base angles, we know this is an isosceles triangle

this being isosceles also tells us that the 2 opposite sides are also equal

Therefore: x + 2 = 3x - 4

solving for x

x - 3x = -4 -2

-2x = -6

x = -6 ÷ -2

× = 3

substituting x:

x +2 = 3 + 2 = 5

3x-4 = 9 - 4 = 5

Answer:

Use the linear pair axiom

answer will be 35 degrees

Answer:

Step-by-step explanation:

The blue line is the translate in the direction of the red line by , and therefore has equation y = 3 ( x − 4 ) + 5 or y = 3 x − 7 .

The linear equation is y = -x - 1 for the graph of the linear equation where -1 is the slope of the linear equation and -1 is the y-intercept.

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

As we can see from the graph of the linear equation:

The x-intercept a = -1

And the y-intercept b = -1

We know the linear equation in terms of a and b can be modeled:

[tex]\rm \frac{x}{a} +\frac{y}{b} =1\\\\\rm \frac{x}{-1} +\frac{y}{-1} =1\\\\[/tex]

x + y = -1

y = - x - 1

Thus, the linear equation is y = -x - 1 for the graph of the linear equation where -1 is the slope of the linear equation and -1 is the y-intercept.

Learn more about the linear equation here:

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Answer:

D

Step-by-step explanation:

D is the right answer for the question

Answer:

a force is described by its strength and by the direction in which it acts. -The strength of a force is measured in the SI unit called the Newton (N).

Step-by-step explanation:

Answer:

21√7

Step-by-step explanation:

Answer:

6/15

Step-by-step explanation:

3/5*2/3=6/15

Answer:

a(7) = 21

Step-by-step explanation:

Using the recursive formula and a(1) = 0, a(2) = 1 , then

a(3) = a(2) + 2a(1) = 1 + 2(0) = 1 + 0 = 1

a(4) = a(3) + 2a(2) = 1 + 2(1) = 1 + 2 = 3

a(5) = a(4) + 2a(3) = 3 + 2(1) = 3 + 2 = 5

a(6) = a(5) + 2a(4) = 5 + 2(3) = 5 + 6 = 11

a(7) = a(6) + 2a(5) = 11 + 2(5) = 11 + 10 = 21

Answer:

Scale factor = 4

Step-by-step explanation:

Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of preimage or original}}[/tex]

Since, S is being dilated with a scale factor to form T,

So, the figure S is the preimage and figure T will be the image,

Length of one side of image T = 8

Length of one side of preimage = 2

Therefore, Scale factor = [tex]\frac{8}{2}[/tex]

                                       = 4

Scale factor by which figure S has been dilated to form figure T is 4.    

Answer:

[tex]-10x^{2}-9x-6[/tex]

Step-by-step explanation:

Combining like terms:

[tex]-7x^{2}-3x^{2}-10x+x-6[/tex]

[tex]-10x^{2}-9x-6[/tex]

Answer: 45

Step-by-step explanation:

From the question, we are informed that Mai is making personal pizzas for a party and that she uses 10 ounces of cheese to make four pizzas. The number of ounce per pizza will be:

= 10/4 = 2.50 ounces per pizza

Therefore, the number of ounces of cheese that will be needed to make 18 pizzas will be:

= 2.50 × 18

= 45 ounces of cheese

Answer:

Each girl scores 8 points while each boy scores 4 points

Step-by-step explanation:

Let the number of point scored by the 7 girls and 2 boys be x and y respectively.

Thus, since 7 girls and 2 boys scored a total of 64 points, then;

7x + 2y = 64 - - - (1)

Also, difference between the number of points scored by the 7 girls and the number of points scored by the 2 boys is 48. Thus;

7x - 2y = 48 - - - (2)

Add eq(1) to (eq 2) to get;

14x = 64 + 48

14x = 112

x = 112/14

x = 8

Put 8 for x in eq(1) to get;

7(8) + 2y = 64

56 + 2y = 64

2y = 64 - 56

2y = 8

y = 8/2

y = 4

Thus,each girl scores 8 points while each boy scores 4 points

Answer:

28

Step-by-step explanation:

The 5 part of the ratio represents 35 girls , then

35 ÷ 5 = 7 ← value of 1 part of the ratio, then

4 parts = 4 × 7 = 28 ← number of boys

Answer:

28 boys

Step-by-step explanation:

4*35=140

140/5=28

so 28 boys

Answer:

It will cost them $8.32 to run their dishwasher for 52 weeks.

Step-by-step explanation:

With the information provided, you can say that the cost to run the dishwasher is equal to the cost per week for the number of weeks, which would be:

Total cost=$0.16*number of weeks

Since you want to determine the cost to run the dishwasher for 52 weeks, you can replace the number of weeks in the formula to get the answer:

Total cost=$0.16*52

Total cost=$8.32

According to this, the answer is that it will cost them $8.32 to run their dishwasher for 52 weeks.

Answer:

A

Step-by-step explanation:

it should be A because if

x-axis represents the time, at the beginning of the day x = 0 and

y-axis the $, at the beginning of the day should be y= 0

Answer:

a linear graph would best represent the relationship

Step-by-step explanation:

just did the khan academy thing

Answer:

17. We study French

a. at school

b. to the building

c. at the theatre

18. Philippe watches TV in

a. the bathroom

b. the street

c. the living room

19. the car and the bikes are in

a. the garage

b. the living room

c. the kitchen

20. There is a good cinema and a Mexican restaurant in my

a. garage

b. district

c. Museum

can you please give me brainliest this was very hard

thanks

-kitten