The quantity of an element is decaying over time such that the amount of material at
any time is given by the function S(t) = 1000(0.9)3t. Write an equivalent function
of the form S(t) = abt.

Answers

Answer 1

Answer:

S(t) = 1000(0.729)^t

Step-by-step explanation:

S(t) = 1000(0.9)^(3t)

S(t) = 1000((.09)^(3))^t

S(t) = 1000(0.729)^t


Related Questions

What is the equation for (12,1) (9,9)

Answers

Answer:

y = -8/3x + 33

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - 1 / 9 -12

8 / -3

= -8/3

y = -8/3x + b

1 = -8/3(12) + b

1 = -32 + b

33 = b

which equation represents a line that is parallel to the line whose equation is y=3/2x-3 and passes through the point (1, 2)? ​

Answers

Answer:

1) y = 3/2 x +½

Step-by-step explanation:

y-2 = 3/2(x-1)

y = 3/2x -3/2 +2

y = 3/2x +½

) yx2x1 how do you write it in simplest form​

Answers

Answer:

Y x 2

Step-by-step explanation:

2 x 1 simplified is 2 so 1 will be eliminated

Helppppppppppp meeeeeee please ASAP

Answers

Answer:

x = 11

Step-by-step explanation:

(7x + 5)° = (3x + 19)° + (2x + 8)°

7x + 5 = 5x + 27

2x = 22

x = 11

Pls Answer the first one and the second question

Answers

Answer:

here wo go with the answerrrrrrrrrrr

Answer:

(a) [tex]10\frac{13}{35}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2\frac{4}{7} }+ \frac{1}{8\frac{4}{5} }+ \frac{1}{\frac{3}{7} }[/tex]

[tex]\frac{1}{\frac{18}{7} }+ \frac{1}{\frac{44}{5} }+ \frac{1}{\frac{3}{7} }[/tex]

[tex]\frac{18}{7} + \frac{44}{5} + {\frac{3}{7}[/tex]

[tex]\frac{40+308+15}{35}[/tex]

[tex]\frac{363}{35}=10\frac{13}{35}[/tex]

[tex]-2\sqrt{50x^5} +5\sqrt{18x^5}[/tex]

Answers

Answer:

234.98

Step-by-step explanation:

in class notes

Simply x+1/x^2+6x+5 step by step
Pls

Answers

Answer:

1 / (x+5)

Step-by-step explanation:

Factor the denominator

(x+1)/ (x+5)(x+1)

Cancel both (x+1)

=1/(x+5)

Find the circumference of the circle.​

Answers

Answer:

37.68 is the correct answer

Step-by-step explanation:

diameter of the given circle is 12ft

circumference of a circle = pi x diameter.

= 3.14 x 12 ft

= 37.68 ft

Answer:

A

Step-by-step explanation:

because use the equation circumference of a circle

[tex]2 \times \pi \times r[/tex]

so 12 is diameter half it will be 6 which is radius. Then insert the number in the equation. hope this helps:)

Write the following number in standard decimal form
seven and fifty-two thousandths

Please help

Answers

Answer:

seven and fifty-two thousandths as a decimal

Step-by-step explanation:

7.52

Your answer should be 7.052

The and represents the decimal point, meaning that 7 is in the ones places, and the decimals go in the following order:

tenths, hundredths, thousandths, and so on. Because the 52 was in the thousandths place, that’s where the 2 goes, and the 5 is in the hundredths place. I hope this helped you

MATH QUESTION HELP ME PLS, KINDA URGENT!!

I need to resolve this with the elimination method

x +y +z = 13
x–z = −2
−2x +y = 3

how-?

Answers

Answer:

x= 2

y= 7

z= 4

Step-by-step explanation:

Equation 1: x+y+z=13

Equation 2: x-z= -2

Equation 3: -2x+y=3

Add equation 2 and 1

(x+y+z)+(x-z)= 13 -2

2x+y= 11

Add this to equation 3

(-2x+y)+(2x+y)= 11+3

2y= 14

y= 7

Plug in y= 7 to equation 3

-2x+(7)= 3

-2x+7=3

-2x= -4

x= 2

Plug x=2 into equation 2

2-z= -2

4 = z

Answer

X=2

Y=7

Z=4

Step by step answer

Trust

PLEASE HELP According to the stem-and-leaf plot above, how many students scored a
grade lower than 80?

Answers

Answer:

17

Step-by-step explanation:

Do you even know what a stem-leaf plot is?

The scores lower than 80% are:

70, 70, 71, 78, 62, 62, 63, 68, 69, 69, 57, 57, 58, 49, 49, 30, and 21 percent according to the data given. That is 17 scores less than 80 percent.

I need help finding the slope

Answers

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 2) ← 2 ordered pairs from the table

m = [tex]\frac{2-1}{2-1}[/tex] = [tex]\frac{1}{1}[/tex] = 1

Math question, please help​

Answers

Answer:  Choice A) 41.7

==========================================================

Explanation:

Let's say that a = 25, b = 37 and c = 32 are the side lengths.

The uppercase letters A,B,C are opposite their lowercase counterparts.

That means angle A is opposite side a = 25

Apply the law of cosines to find angle A

a^2 = b^2 + c^2 - 2*b*c*cos(A)

25^2 = 37^2 + 32^2 - 2*37*32*cos(A)

625 = 1369 + 1024 - 2368*cos(A)

625 = 2393 - 2368*cos(A)

625 - 2393  = -2368*cos(A)

-1768  = -2368*cos(A)

-2368*cos(A) = -1768

cos(A)= (-1768)/(-2368)

cos(A) = 0.746621621621622

A = arccos(0.746621621621622)

A = 41.7014263373247

A = 41.7

What are the solutions of x2 - 2x +17 - 0?
O A. x = 1+2, or x = 1 - 2
O B. X = 1+4, or x = 1- 47
O c. x = 2, or x = -2
O D. x = 4; or x = -4/

Answers

Answer:

option B

Step-by-step explanation:

[tex]x^2 - 2x + 17 = 0 \ , \ [ \ where \ a = 1 , \ b = - 2 \ c = 17 \ ][/tex]

[tex]x = \frac{- b \ \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{2 \ \pm \sqrt{2^2 - (4 \times 1 \times 17)}}{ 2 \times 1}\\\\x = \frac{2 \ \pm \sqrt{4 - 68}}{ 2 }\\\\x = \frac{2 \ \pm \sqrt{-64}}{ 2 }\\\\x = \frac{2 \ \pm \sqrt{8^2 \times -1}}{ 2 }\\\\x = \frac{2 \ \pm \ 8\sqrt{ -1}}{ 2 }\\\\[/tex]              

[tex]x = \frac{2 \ \pm\ 8 i}{ 2 }\\\\[/tex]                               [tex][ \ where \ i = \ \sqrt{i} \ ][/tex]

[tex]x = 1 \ \pm \ 4i\\\\x = 1 + 4i , \ x = 1 - 4i[/tex]

Answer:

O B.  [tex]x=1+4i[/tex] or [tex]x=1-4i[/tex]

Step-by-step explanation:

Use the Quadratic Formula for the Quadratic Equation!

Quadratic Equation: [tex]x^{2} -2x+17=0[/tex]

Quadratic Formula: [tex]x= \frac{-b±\sqrt{b^2-4ac} }{2a}[/tex]

**********************************************************************

Now set up the values like this!

[tex]ax^{2} +bx+c[/tex]

**********************************************************************

[tex]x=\frac{-b±\sqrt{-2^2-(4(0)(17)} }{2(0)}[/tex]

[tex]x=\frac{-b±\sqrt{4-(1)} }{0}[/tex]

x = 1 - 4i

x = 1 + 4i

$42. This included rental of shoes at $3.50 per pair. Patrick bowled 2 games, and Cameron bowled 3 games. How much did each game cost?

Answers

Answer:

Each game cost $ 7.

Step-by-step explanation:

Given that the value $ 42 included rental of shoes at $ 3.50 per pair, knowing that Patrick bowled 2 games, and Cameron bowled 3 games, to determine how much did each game cost the following calculation must be performed:

(42 - (2 x 3.50)) / (2 + 3) = X

(42 - 7) / 5 = X

35/5 = X

7 = X

Therefore, each game cost $ 7.

sin theta =12/13 then find tan theta.

Answers

I hope this is help full to you

Answer:

tan(θ) = 12/5

Step-by-step explanation:

According to Pythagoras,

sin(θ) = Opposite / Hypotenuse

tan(θ) = Opposite / Adjacent

(Hypotenuse)^2 = (Opposite)^2 + (Adjacent)^2

or, (Adjacent)^2 = (Hypotenuse)^2 - (Opposite)^2

or, (Adjacent)^2 = 13^2 - 12^2

or, (Adjacent)^2 = 169 - 144

or, (Adjacent)^2 = 25

or, Adjacent = 5

So, tan(θ) = 12/5

Hope this will help. Please mark me brainliest.

answer?? please answerr

Answers

Answer:

the y-intercept of Function A is less than the y- intercept of Function B

Step-by-step explanation:

first, identify each coordinate that has instegers only

(x, y)

(0, -4)(2, 6) (-2, -14)

function A y-int: (0, -86)

function B y-int: (0, -4)

What rav3ntails said

find the volume of the cylinder. SHOW ALL WORK

Answers

The volume of the cylinder with a height of 12 inches and a diameter of 10 inches is approximately 942.4788 cubic inches.

To find the volume of a cylinder, you can use the formula:

Volume = π * r^2 * h

Where π (pi) is approximately 3.14159, r is the radius of the cylinder, and h is the height of the cylinder.

In this case, the height of the cylinder is given as 12 inches, and the diameter is given as 10 inches. To find the radius, we divide the diameter by 2:

Radius = Diameter / 2 = 10 inches / 2 = 5 inches

Now we can substitute the values into the formula to calculate the volume:

Volume = π * (5 inches)^2 * 12 inches

Using the value of π as approximately 3.14159, we get:

Volume ≈ 3.14159 * (5 inches)^2 * 12 inches

Volume ≈ 3.14159 * 25 square inches * 12 inches

Volume ≈ 942.4788 cubic inches

Therefore, the volume of the cylinder with a height of 12 inches and a diameter of 10 inches is approximately 942.4788 cubic inches.

Learn more about volume here:

https://brainly.com/question/27710307

#SPJ8

Drag the correct word and the appropriate value to the box with each given interval

Answers

Answer:

this answer is for functional value only


[tex] {( {5}^{ - 1 } \times {3}^{ - 1} })^{ - 1} \div {6}^{ - 1} [/tex]
Pls include steps...​

Answers

Step-by-step explanation:

everything can be found in the picture

URGENT PLS HELP!!!
Work out the value of 3x + 5y
when x = -5 and y = 5

Answers

Answer:

10

Step-by-step explanation:

3x + 5y

Let x= -5 and y =5

3(-5) + 5(5)

Multiply first

-15 +25

Then add

10

10 because 3x-5=-15 and 5x5=25 so 25-15=10

Help me with my algebra 2 please (:

Answers

Answer:

The first one

Step-by-step explanation:

Make 3x+6 into 3(x+2)

Separate x²+5x+6 into (x+2)(x+3)

Cross out both x+3

6x÷3

Put x+2 together to make (x+2)²

[tex]\frac{2x}{(x+2)^2}[/tex]


Convert y + 2 = 3/2(x – 4)
to general form.

Answers

Answer:

3x − 2y = 16

Step-by-step explanation:

y + 2 = 3/2(x – 4) in standard form is 3x - 2y = 16

Hope this helps uwu

Please help if yk tha answer :))

Answers

Answer:

cos θ = -0.948

Step-by-step explanation:

First find θ of sin θ by taking the inverse:

θ = arcsin(0.312).

Then consider the interval of π/2 < θ < π, and set sin θ equal to arcsin(0.312).

arcsin(0.312) = 0.317297388112..

[ Hold on I am finishing up work ]

Cameron is making trail mix. The ratio of peanuts to raisins to walnuts is 3:2:1. If there are 224 raisins, how many total peanuts and walnuts are there?

Answers

Answer:

336 Peanuts

112 Walnuts

Step-by-step explanation:

So first, you can not change the order of the items in a ratio. So the 224 raisins will be in the middle.

It will look like _ : 224 : _

Next, divide 224 by 2 to get the number of walnuts, the number on the right.

So the number on the right will be 112.

Next, multiply 112 by 3 to get 336.

Using the Pythagorean Theorem, determine the length of the missing side of the right triangle.

Answers

The pythagorean theorem states that a^2 = b^2 + c^2, where a is the side that opposes the right angle.

In this case, you have a and b, so you need c.

That means that c^2 = a^2 - b^2 so c is the square root of (a^2 - b^2) that means c = the square root of (676 - 576) which is 10in.

Answer: 10 in.

Step-by-step explanation: We can use the PT to find the length of the missing side. The PT is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex], where "a" and "b" are side lengths and "c" is the hypotenuse. Given that, we can see that they have given just one side length (24 in) and the length of the hypotenuse (26 in). Plugging these values into the formula, we get 24^2 + b^2 = 26^2. This equals 576 + b^{2}  = 676. Solving for b^{2}, we move the 576 and do 676-576, which equals 100, giving us b^{2} = 100. If we take the square root of both sides, we get b = [tex]\sqrt{100\\}[/tex]. The square root of 100 equals 10, giving us our final answer. The length of the missing side is 10 in.

Fill in the blank
Plssss help

Answers

pretty sure it’s radius and height
the blanks would be radius and height

The volume of the following figure is
240 in² which of the following is the missing side length?
A. 7 in
B. 6 in
C. 8 in
D. 5 in

Answers

Answer:

C. 8 in

Step-by-step explanation:

(5)(6)(x)=240

solve for x

30x=240

x=240/30

x=8

which of the following is a root of the polynomial function below​

Answers

Answer: "C"

roots would make the function "0"

so just plug in the numbers...

with a + 12 you need minuses to cancel out...

B & C can not be the answer...

A is -i -3 + 4i - 12 which also is not 0

C is :  8i -12 -8i +12 WHICH DOES = 0

Step-by-step explanation:

Fill in the spaces to complete the equality
Help

Answers

Answer:

(n + 13n)

Step-by-step explanation:

13n (n) = 13n²

add 13n

so 13n (n + 13n) = 13n² +13n

I believe they are both supposed to add up to 26n^2 so any combination should work suck as (10n^2 +3n)
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