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The function of the exponential decay will be y = 870(0.75)ˣ. Then the value of the quantity after 10 weeks will be 49.

Consider the function:

y = a(1 ± r)ˣ

where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction.

If there is a negative sign, then there is exponential decay happening by r fraction.

A quantity with an initial value of 870 decays continuously at a rate of 0.75% per day.

Then the function is given as

y = 870(0.75)ˣ

Then the value of the quantity after 10 weeks will be

y = 870(0.75)¹⁰

y = 870 (0.0563)

y = 48.99

y ≅ 49

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Answer:

111.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 1/5 of the total distance to his grandmothers house was traveled on Sunday

The total distance to to his grandmothers house is assumed to be 1

Marks family traveled 7/10 of the distance to his grandmothers house on Saturday. The remaining distance would

1 - 7/10 = 3 /10

They traveled 2/3 of the remaining distance on Sunday. This means that the distance that they travelled on Sunday is

2/3 × 3/10 = 2/10 = 1/5

Answer:

It's [tex]15ft^{3}[/tex]

Step-by-step explanation:

Since w is 4 on A and 2 on B just divide all sides by 2 to get your values for B

4 --> 2

10 ---> 5

2 ----> 1.5

making your answer 15ft^3

hope this helps:)

Answer:C. 46%

Step-by-step explanation:there is 6 even numbers and 7 odd number 50 pecernt would be if it was 6 even and 6 odd or 7even and 7 odd.

Answer:

1440 Years

Step-by-step explanation:

hope it helps

Answer:

19-b

20-d

Step-by-step explanation:

your welcome

Answer:

22x/7=52x=35x= 35/2

Step-by-step explanation:

hope this helps

Answer:

5.5 + 106 square inches

Step-by-step explanation:

It's the first option.

Answer:

A. 5.5 + 106 square inches

Step-by-step explanation:

Answer:

3(5)=x

Explenation:

3*5 is equal to 15

The figure of the cube of the length of a side is given as 18.5 in. Hence, The volume of that cube will be 6331.62 cubics in.

Suppose that:

The side length of the considered cube is L units.

Then, we get:

The volume of that cube = L³ cubic units.

We have given a figure of the cube of the length of side 18.5 in.

WE need to find the volume of the cube,

The volume of that cube = L³ cubic units.

The volume of that cube = 18.5³ cubic in.

                                          = 6331.62cubicsc in.

Hence, The volume of that cube will be 6331.62 cubics in.

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The angle which is coterminal with the angle 125 degree when drawn in standard position is -235 degrees. Option A is correct.

The terminal side of an angle is the rotated side of the initial side around a point to form an angle. This rotation can be clockwise or counter clock wise.

The angle given in the problem is,

θ=125°

The angle which is coterminal of this angle is,

θ=125°-360°

θ=-235°

Thus, the angle which is coterminal with the angle 125 degree when drawn in standard position is -235 degrees. Option A is correct.

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The exact value of the other root to the quadratic equation is [tex]x = -2 - \sqrt 6[/tex]

One of the root is given as:

[tex]x = -2 - \sqrt 6[/tex]

As a general rule, the solution to a quadratic equation is represented by:

[tex]x =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

This means that the actual root of the given root is:

[tex]x = -2 \pm \sqrt 6[/tex]

Split the equation

[tex]x = -2 - \sqrt 6[/tex] and [tex]x = -2 + \sqrt 6[/tex]

Hence, the exact value of the other root to the quadratic equation is [tex]x = -2 - \sqrt 6[/tex]

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Answer:

a) 10√2 is correct answer

The following equations are described as follows:

An equation is a mathematical expression that shows the relationship between two or more mathematical variables that are equal to one another using the equal sign.

The following are various types of equations:

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Answer:

c would be a good answer I am not sure but c would be the answer

Answer:

Step-by-step explanation:

7.75-4,5 = 3.25

11-7.75 = 3.25

14.25-11 =3.25

17.5-14,25 = 3.25

It’s clear that this is an arithmetic sequence with common difference of 3.25

The equation form of such sequence is  a(n) = a×n + b ,where ‘a’ is the common difference.

Then

a = 3.25

The first term a₁ = 4.5

On the other hand, a₁ = 3.25 ×(1) + b

Then

4.5 = 3.25 ×(1) + b

Then

b = 4.5 - 3.25 = 1.25

Conclusion:

a(n) = 3.25n + 1.25

Answer:

A. This is a vertical angle set. As you can see, they are cut by the transversal and have the exact same interior angle, so it is a vertical angle.

B. Since these too are vertical angles, all you have to do is just put each expression on the sides of an equation like so:

5y-29=3y+19

Once you do this, you just need to simplify the equation by putting like terms together, and then you will find the solution for y, which is 24.

C. We know that the solution for y is 24, so we need to plug it into the equation to find, the angle, so if we do 3*24-19, we get 53, so we need to subtract that from 180 degrees, which is the total angle of the straight line, then we can get 127 degrees, which is what angles <7 and <8 are.

Step-by-step explanation:

Answer:9

Step-by-step explanation:

Answer:

y = mx + b, where m is gradient and b is y-intercept

y = 3

y = 3x + b

To find b use the coordinate (3, 7) to find b

7 = 3(3) + b

b = 7 - 9

b = -2

Therefore, the equation will be:

Therefore, the equation will be:y = 3x - 2

Step-by-step explanation:

.

Answer:

Upward

Step-by-step explanation:

On a standard graph, the horizontal line is the x-axis and thr vertical is the y-axis

Answer:

C

Step-by-step explanation:

I think it's C hope that helps

[tex] \sin {}^{2} (x) + {cos}^{2} (x) = 1[/tex]

[tex] {sin}^{2} (x) = 1 - {cos}^{2} (x)[/tex]

[tex] {sin}^{2} (x) = 1 - ({ \frac{ - 7}{9} })^{2} \\ [/tex]

[tex] {sin}^{2} (x) = 1 - \frac{49}{81} \\ [/tex]

[tex] {sin}^{2} (x) = \frac{81}{81} - \frac{49}{81} \\ [/tex]

[tex] {sin}^{2} (x) = \frac{32}{81} \\ [/tex]

[tex] \sin(x) = ± \sqrt{ \frac{32}{81} } \\ [/tex]

_____________________________________________

[tex] \tan(x) < 0 \: \: \: and \: \cos(x) < 0[/tex]

Thus :

[tex] \sin(x) > 0[/tex]

So we have :

[tex] \sin(x) = + \sqrt{ \frac{32}{81} } \\ [/tex]

[tex] \sin(x) = \frac{ \sqrt{16 \times 2} }{ \sqrt{9 \times 9} } \\ [/tex]

[tex] \sin(x) = \frac{4 \sqrt{2} }{9} \\ [/tex]

_____________________________________________

[tex] \sin(2x) = 2 \times \sin(x) \times \cos(x) [/tex]

[tex] \sin(2x) = 2 \times \frac{4 \sqrt{2} }{9} \times ( - \frac{7}{9} ) \\ [/tex]

[tex] \sin(2x) = - \frac{56 \sqrt{2} }{81} \\ [/tex]

If Jacob lives until the end of the term of his policy, the total amount he would have paid in premiums overall is $50,850.

Total premium payment = (face value / average premium rate) x number of years x premium

($500,000 / 1000) x $6.78 x 15 = $50,850

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Answer:

C

Step-by-step explanation:

Answer:

  -1/2x -(5 23/42)y

Step-by-step explanation:

We assume you want to simplify the expression ...

  (2 3/10)x -(5/7)y -(4 5/6)y -(2 4/5)x

__

The mixed numbers and fractions are combined in the usual way. A common denominator needs to be found for the addition or subtraction to take place.

  = x(2 3/10 -2 4/5) -y(5/7 +4 5/6)

  = x(23/10 -28/10) -y(30/42 +4 35/42)

  = x(-5/10) -y(4 65/42)

  = -1/2x -(5 23/42)y

Answer: hii

1 4/6 Is the Answer I Believe.

Step-by-step explanation:

Hopefully this helps you

- Matthew

Answer:

They are equal.

Step-by-step explanation:

Answer:

1/100

Step-by-step explanation:

From 1 to 10 there are 10 numbers, so the fraction would be:

# / 10

Since you are putting the cards back into the deck, the denominator will never change.

The chances of getting " 1 " are 1 / 10.

And the chances of getting " 2 " are also 1 / 10

To find the odds of getting one-after-the-other, you multiply these 2 chances.

( 1 / 10 ) x ( 1 / 10 ) = ( 1 / 100 )

There is a 1 / 100 chance that you will draw 1, then 2 if you put the cards back after drawing.

Answer:

A= B= C= D= E= F=

Step-by-step explanation: