What is the rate of decay in the following function?

f(x)=3(67)^x

Answer:

800 in^2

Step-by-step explanation:

Multiply.

A=2(wl+hl+hw)

=2·(10·15+10·15+10·10)

=800

Because it is surface area it would be 800in^2

This is one single number and not two separate numbers.

Delete the comma if your teacher requires it.

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Explanation:

I'm assuming letters can repeat.

There are 26 letters in the English alphabet.

There are,

Overall, there are A+B+C+D = 456,976+17,576+676+26 = 475,254 strings of length four or less.

Answer:

Step-by-step explanation:

2x = 8

Division property of equality

divide both sides by 2

x = 4

Answer:

I am solving this Question since morning but I am not able to complete

Answer:

a.) 10 months

b.) Kool Karate

c.) Karate Klub

Step-by-step explanation:

Karate Klub : y=25x+200

Kool Karate : y=35x+100

A.) First, set the equations equal to each other then solve for x. [tex]A.) 25x+200=35x+100\\\\[/tex]

take away 100 from both sides

[tex]25x+100=35x[/tex]

take away 25x from both sides

[tex]100=10x[/tex]

divide 10 from both sides so x can be by itself and equal to 1

[tex]10=x[/tex]

This means that at 10 months, the cost is the same for both.

B.) Substitute 6 for x in both equations

Karate Klub : [tex]y=25(6)+200\\y=350[/tex]

Kool Karate :[tex]y=35(6)+100\\y=310[/tex]

The cost for Kool Karate is cheaper, so that is what he should join.

C.)  Substitute 12 for x in both equations.

x=12 because there are 12 months in a year.

Karate Klub:[tex]y= 25(12)+200\\y=500[/tex]

Kool Karate:[tex]y=35(12)+100\\y=520[/tex]

The cost for Karate Klub is cheaper, so that is what he should join.

Answer:

[tex]x + 4 + 2x + 1 \\ 3x + 5 \\ x = \frac{ - 5}{3} [/tex]

Answer:

5

Step-by-step explanation:

The number of apples bought by him is 113.

A grouping of variables, symbols, and/or numbers used to represent a mathematical quantity or relationship is known as an expression in mathematics. Expressions might be straightforward with just one number or variable or complex with many terms, operations, and functions.

Let's assume that Sam bought x number of apples.

He bought them at 60 cents each, which means the total cost of buying these apples was:

Cost price = 60x cents

He sold all but 5 of these apples at R1.00 each, which means the total revenue he earned from selling them was:

Revenue = (x - 5) x R1.00 = R(x - 5)

Sam made a profit of R5.00, which means his revenue was more than his cost price by R5.00. We can write this as:

Revenue - Cost price = R5.00

Substituting the values of revenue and cost price from above, we get:

R(x - 5) - 60x = 500 cents

Rearranging and simplifying this equation, we get:

40x = 500 + 5R

Substituting R = R1.00, we get:

40x = 500 + 5 = 505

Solving for x, we get:

x = 12.625

Since Sam cannot buy a fraction of an apple, we round up x to the nearest integer:

x = 13

To know more about an expression follow

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Answer:

i have no idea

Step-by-step explanation:

im in 5th grade

Answer:

Step-by-step explanation:

Using the inequality rule, the third side has to be less than 12 + 16 = 28.
So, any answer of 28 or more than 28 does NOT satisfy the length.
It also has to be more than 4 to satisfy the inequality rule.

In short words, 4 < x < 28.

A, B and C all satisfy, because they are in the range of x

D) 32 is >28, so this is the wrong answer and CANNOT be the value of x.

Answer:

32

Step-by-step explanation:

Any number between 16 - 12 = 2 and 16 + 12 = 28 are possible.

Among given choices, only 32 is not in the above region. so 32 CANNOT be the value.

Answer:

19732620000

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

no explanation

The marginal cost will most likely increase to $2.00

Marginal cost is the change in the production costs that would be required to make one extra unit of production.

The marginal costs will continue to rise, increasing the total cost, while the marginal revenue remains the same, decreasing the profit.

For example, if a company produces a cup for $5, and 10 cups would be $50, therefore, the marginal cost is the extra cost it would take to manufacture an additional cup.

Hence, the marginal cost will most likely increase to $2.00

To know more about marginal cost click the link given below.

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Answer:

B The marginal cost will most likely increase to $2.00

Step-by-step explanation:

I took the assignment. :)

Number in square root is a number multiplied by itself. For example, 10*10 would give us a square root of 100.

Step-by-step explanation:

1. Square root of 36 = 6

2. Square root of 100 = 10

3. Square root of 81 = 9

4. Square root of 49 = 7

Answer:

1) 27/2 2) 8pi 3) 48 4) 16+2pi

Step-by-step explanation:

1) The length of the triangle is 9 (found by finding the distance between (-5,-3) and (4,-3)) and the height is 3 (found by finding the distance between (1,0) and (1,-3)). The area of a triangle is 1/2 (length times height) which in this case is 27/2.

2) The shape is a semicircle, so the area is 1/2 pi*r^2.

1/2 * pi * r^2=8pi

3) B*H=8*6=48

4) The figure is a semicircle and a square.

The area of the semicircle is 1/2 * pi * r^2=2pi

The area of the square is b*h=4*4=16

The area is 16+2pi.

Answer:

Figure G is a reflection of figure F

mirror line: y= -x line

Answer:

0.25% are chocolate chip cookies

Step-by-step explanation:

first, make it a fraction

8/32

8/32= 0.25

the answer is 0.25%

Answer:

They received 540 applications.

Step-by-step explanation:

Let applications they received be x,

5/6 = 450/x

or, 5x = 2700

so, x = 2700/5

so, x = 540

Answer:

1) c 226

2)

1. E

2. D

3. B

4. A

5. C

Step-by-step explanation:

6^3=216

5x(4-2)

5x2=10

216+10=226

First blank is 'left'

Second Blank is 'right'

Answer:

(Option B

(Option C

Step-by-step explanation:

Concept:

We will start by explaining each option one after the other

Step 1:

The sum of two odd numbers

Let the first odd number be

[tex]2a+1[/tex]

Let the second odd number be

[tex]2B+1[/tex]

By adding the two numbers, we will have

[tex]2a+1+2B+1=2(a+B)+2[/tex]

Hence,

The sum of two odd numbers is even

Step 2:

The difference of two odd number

Let the first odd number be

[tex]2a+1[/tex]

Let the second odd number be

[tex]2B+1[/tex]

To find their difference, we will have

[tex]2a+1-(2B+1)=2a+1-2B-1[/tex]

[tex]=2a-2B[/tex]

Hence,

The difference between two odd numbers is even

Step 3:

Let the first even number be

[tex]2a[/tex]

Let the second odd number be

[tex]2B+1[/tex]

By adding the two numbers, we will have

[tex]2a+2B+1[/tex]

Hence,

The sum of an odd number and an even number is odd

Step 4:

The difference between an odd number and an even number

Let the first even number be

[tex]2a[/tex]

Let the second odd number be

[tex]2B+1[/tex]

Hence,

The difference will be

[tex]2a-(2B+1)[/tex]

[tex]2a-2B-1[/tex]

Hence,

The difference between an odd number and an even number is odd

Therefore,

The correct answers are OPTION B and OPTION C

-Good Luck with your Assignment!

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−3x+5(x+3)=23

−3x+5(x+3)=23

−3x+(5)(x)+(5)(3)=23

−3x+5x+15=23

(−3x+5x)+(15)=23

2x+15=23

2x+15−15=23−15

2x=8

2     2

x=4

Answer:

x=4

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

5-p

p=-9

-4 is greater than 5-p

Hi There!

Given:

803 pages in a book

To Find:

How many days will it take for Mike to finish reading the book, if he reads 36 pages a day?

In order to find the number of days, take the total number of pages and divide it by the number of pages read a day:

803÷36≈22

Answer: It will take Mike 22 days to finish reading the book.

Have an awesome day!

[tex]\huge\textbf{TheStarryNights}[/tex]

Answer:

s (t) = 12 - 0.75t

Step-by-step explanation:

Given: The snow started melting at a rate of 0.75 inches per hour and it is known that 4 hours  after the storm ended, after the storm ended, the depth of snow was down to 9 inches.

Snow melted in 4 hours =

Initial depth of snow = 9 + 3 inches = 12 inches.

Now, depth of snow on Tristan's lawn = Initial depth -0.75(Number of hours)

Let S(t) be the depth of snow on Tristan's lawn, in inches, t hours after the snow stopped falling.

Answer:

144cm²

Step-by-step explanation:

The surface area of a shape = area of all the sides added together

area of bottom side (square) = 6 x 6 = 36

area of triangles = [tex]\frac{1}{2}[/tex] x 6 x 9 = 27

27 x 4 =108

108 + 36 = 144

Answer:

[tex]A_{total} = 144\ cm^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the bottom square

[tex]A = l * w[/tex]

[tex]A = 6\ cm * 6\ cm[/tex]

[tex]A = 36\ cm^2[/tex]

Step 2:  Determine the area of the triangle

[tex]A= \frac{h *b}{2}[/tex]

[tex]A=\frac{9\ cm * (6\ cm/2)}{2}[/tex]

[tex]A=\frac{9\ cm * 3\ cm}{2}[/tex]

[tex]A=13.5\ cm^2[/tex]

Since we have two of these right triangles on each side we come out to having 8 of these triangles total since we have 4 sides.  We multiply 8 by our area from one triangle.

[tex]A=13.5\ cm^2*8[/tex]

[tex]A = 108\ cm^2[/tex]

Step 3:  Determine the surface area

[tex]A_{total} = 36\ cm^2 + 108\ cm^2[/tex]

[tex]A_{total} = 144\ cm^2[/tex]

Answer:  [tex]A_{total} = 144\ cm^2[/tex]

Answer:

x= 3

Step-by-step explanation: I'll assume the problems is

Cross multiply to get:

x2 - 1 = 2x + 2

x2 - 2x - 3 = 0

(x - 3)(x + 1) = 0

x = 3 and x = -1

Test (x = 3):

1/(2•3+2) = 1/(32 - 1)

1/8 = 1/8 true, so x = 3 is a valid solution

Test (for x = -1):

1/(2•(-1)+2) = 1/((-1)2 - 1)

1/0 = 1/0 not true since division by zero is undefined so x = -1 is not a solution (aka, it is extraneous).

To find solutions via graphing, graph y = 1/(2x + 2) and graph y = (x2 - 1) and find the points of intersection. Doing so confirms that the only solution is x = 3.