Name:
#5 Go Tigers!
Seven days a year, Tiger Stadium becomes the fifth largest city
in the state of Louisiana. Over 92,000 fans pack the stadium to
watch the Tigers play. After the game, if the fans leave at a rate
of 10% per minute, how long will it take before the stadium is
half empty?
Partner Name:
Circle:
EQUATION
y = abx
GRAPH (label the x, and y-axis, plot the four points from the table, and connect the dots to receive full credit)
X
a =
TABLE
or y = a (1+r)*
Identify if it is a GROWTH or DECAY by circling
Write your equation:
After the game, if the fans leave at a rate of 10% per minute, how long will it take before the
stadium is half empty?
b =
f(x)
MEANING OF THE EQUATION

Answer:

i think the question might be incorrect or the question is incomplete

The homogeneous linear ODE

[tex]y^{(4)} + y''' + y'' = 0[/tex]

has characteristic equation

[tex]r^4 + r^3 + r^2 = r^2 (r^2 + r + 1) = 0[/tex]

with a double root at [tex]r=0[/tex] and two complex roots

[tex]r^2 + r + 1 = 0 \implies r = -\dfrac{1 \pm i\,\sqrt3}2[/tex]

Hence the characteristic solution is

[tex]y = C_1 e^{0x} + C_2x e^{0x} + C_3 e^{((-1/2)-i(\sqrt3/2))x} + C_4 e^{((-1/2)+i(\sqrt3/2))x}[/tex]

[tex]y = C_1 + C_2x \\\\ ~~~~~~~~~~ + C_3 e^{-x/2} \left(\cos\left(\dfrac{\sqrt3}2x\right) - i\, \sin\left(\dfrac{\sqrt3}2x\right)\right) \\\\ ~~~~~~~~~~ + C_4 e^{-x/2} \left(\cos\left(\dfrac{\sqrt3}2x\right) + i\,\sin\left(\dfrac{\sqrt3}2x\right)\right)[/tex]

[tex]y = C_1 + C_2x + C_3 e^{-x/2} \cos\left(\dfrac{\sqrt3}2x\right) + C_4 e^{-x/2} \sin\left(\dfrac{\sqrt3}2x\right)[/tex]

Answer: get a verified 340

Step-by-step explanation:

Answer:

here is my answer........

Step-by-step explanation:

(3-x)^2 = 9 - 3x - 3x + X2

= X2 - 6x +9

Step-by-step explanation:

-3x+7-5x<15

-5x-3x+7<15

-8x+7<15

-8x<15-7

-8x<8

The smallest integer is -3x.

The larger of the two integers is 18 and the smaller integer is 17.

Integers are collection of whole numbers and negative numbers. Integers are not fractional numbers or decimal. Some examples of integers are -5,-25,0,13,9 .

Let us consider the smaller integer be x.

As the integers are consecutive, the larger integer is (x+1).

Now according to the given condition:

Twice the large integer=2(x+1)

15 less than the 3 times the smaller integer=3x-15

Now the value of these two expressions is equal.

Therefore: [tex]2(x+1)=3x+-15[/tex]

Solving the above equation to find the value of x:

[tex]or,2(x+1)=3x-15\\or,2x+2=3x-15\\or,2x-3x=-15-2\\or,-x=-17\\or,x=17[/tex]

Therefore the smaller integer is 17.

Larger integer(x+1) : 17+1=18

Therefore the integers are 17 and 18.

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Work Shown:

5 times 2 = 10

5 times 13 = 65

5 times 2.13 = 10.65

This rounds to 10.7 when rounding to the nearest tenth, i.e. one decimal place.

Answer:

4 21

Step-by-step explanation:

Its probably the answer you are looking for

Answer:

30 Mins

Step-by-step explanation:

9 mins for 3 waffles is 3 mins per waffle. 9÷3=3

3 mins for each of 10 waffles is 30 mins. 3×10=30.

Answer:

47 / 3 ( Or 1 if you typed it wrong)

Step-by-step explanation:

When simplifying an equation like this, we always want to do our multiplication and division before addition and subtraction.

So for the first step, let's simplify the expression down to only addition and subtraction...

12 - 2 / 6 + 4 =

12 - (2 / 6) + 4 =

12 - 1/3 + 4

Now we can combine everything together from left to right...

(12 - 1/3) + 4 =

35/3 + 4 =

47 / 3

However...

If the original equation was:

[tex]\frac{12-2}{6+4}[/tex]

Then you would just simplify the top and bottom separately before dividing the two numbers, treating the fraction as parentheses.

So...

(12 - 2) = 10

(6 + 4) = 10

And since 10 / 10 = 1

The answer to the fraction simplification is 1.

The solution of the expression would be 47/3.

Given that,

The expression is,

[tex]12 - \dfrac{2}{6} + 4[/tex]

Now simplify the expression by applying the BODMAS rule,

[tex]12 - \dfrac{2}{6} + 4[/tex]

[tex]12 - \dfrac{1}{3} + 4[/tex]

[tex]16 - \dfrac{1}{3}[/tex]

[tex]\dfrac{(48 - 1)}{3}[/tex]

[tex]\dfrac{47}{3}[/tex]

Therefore, the solution of the expression is 47/3.

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The data sets with a range that is greater than 10 are:

1 5 7 8 14

5 7 9 21 23

The range of any given data set is the difference between the largest and the lowest data point in the data set.

Range for 4 5 6 7 13:

Range = 13 - 4 = 9

Range for 1 5 7 8 14:

Range = 14 - 1 = 13

Range for 10 11 14 17 18:

Range = 18 - 10 = 8

Range for 5 7 9 21 23:

Range = 23 - 5 = 18

11 11 11 11 11 has no range.

Therefore, the data sets with a range that is greater than 10 are:

1 5 7 8 14

5 7 9 21 23

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Answer:

False

Step-by-step explanation:

Sometimes, multiplication can occur after addition. For example, in 3+4*7, you don't add 3 and 4 first. You multiply 4 and 7 first since that's following the PEMDAS rule. After multiplying 4 and 7, then you add 3 to get a total of 31. ==> 3+4*7=3+28=31.

Probability= 5/9

Even cards = 2,4,6,8

Odd cards = 1,3,5,7,9

The number of ways of choosing one odd and one even number is 5C1 * 4C1

            (  5!/ 1!* 4!) * (4!/1! * 3!)

            5* 4= 20

Total number of ways of choosing 2 cards out of 9 = 9C2

        9!/ 2! * (9-2)!

     = 9!/ 2! * 7!

     = 9*8/2

    = 9 *4= 36

Thus, Probability is = 20/ 36

                             = 5/9

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The area of the region inside both curves r = 9 sin(θ) and r = 9 cos(θ) is 11.56 square units.

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

The curves are:

r = 9 sin(θ) and

r = 9 cos(θ)

On graphing the above curves:

From the graph:

A = (1/2)∫(9sin(θ))2dθ + (1/2)∫(9cos(θ)2dθ

The region is symmetrical about π/4,:

A = 81∫sin2(θ)dθ from 0 to π/4

After solving:

= 11.56 square unit

Thus, the area of the region inside both curves r = 9 sin(θ) and r = 9 cos(θ) is 11.56 square units.

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For the given sample data, 42, 25, 86, 30, 25, 15, 42, 42, the mode is 42.

In statistics, the mode, denoted by Mo, refers to the most frequent value or values in the data set. If all the numbers in the data set appears only once, then the data set has no mode.

For the given sample data,

42, 25, 86, 30, 25, 15, 42, 42

the number 42 appears thrice, 25 appears twice and the rest appears only once.

The number 42 appeared the most frequent among all the other data.

Hence, the mode of the data set that contains 42, 25, 86, 30, 25, 15, 42, 42 is 42.

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Answer:

I'm pretty sure the answer is D

Step-by-step explanation:

I took the test

The sentence that contains a dangling modifier is D. Searching frantically, the homework was finally found and turned in.

A word or phrase that modifies a term that is not explicitly expressed in the sentence is known as a dangling modifier. A modifier provides a concept's definition, clarification, or more information.

A grammatical modifier that could be mistakenly understood as being connected to a word other than the one intended is known as a hanging modifier. A hanging modifier, which usually refers to a participle, has no subject.

Therefore, the sentence that contains a dangling modifier is Searching frantically, the homework was finally found and turned in.

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Answer:

4. $216 gain

5. 30g

I hope this helps

Answer:

6

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

First, take the prime factorization of all 3 numbers.

30: 15*2 ==> 5*3*2

60: 30*2 ==> 15*2*2 ==> 5*3*2*2

78: 39*2 ==> 13*3*2

Notice any common factors? That's the GCF.

GCF: 3*2=6

GCF: 6

Diameter = 24 foot, circumference = 75.36 foot, Area = 452.16 square foot

As the leash is 12 feet, and dog Rupert will form a circle in the backyard.

As the leash is of 12 feet, so it is the radius(r) of the circle.

Diameter = 2r

                = 2×12

                = 24 foot

Circumference = 2πr

                         =2×3.14×12

                         = 75.36 foot

Area of the circle = π[tex]r^{2}[/tex]

                             = 3.14×[tex]12^{2}[/tex]

                             =3.14 × 144

                             = 452.16 [tex]foot^{2}[/tex]

Therefore we get diameter = 24foot, circumference = 75.36 foot and area = 452.16 square foot.

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The area and perimeter of the rectangle are 80 cm and 375 cm² respectively.

The rectangle is 15 cm wide.

The width is 3 / 5 of its length

Therefore, the area and the perimeter of the rectangle can be found as follows:

area of a rectangle = lw

where

Therefore,

w = 15 cm

15 = 3 / 5 × l

cross multiply

75 = 3l

l  =75 / 3

l = 25 cm

Therefore,

area of the rectangle = 25 × 15 = 375 cm²

Perimeter of the rectangle = 2l + 2w

Perimeter of the rectangle = 2(l + w)

Perimeter of the rectangle = 2(25 + 15)

Perimeter of the rectangle = 2(40)

Perimeter of the rectangle = 80 cm

Therefore, the area and perimeter of the rectangle are 80 cm and 375 cm² respectively.

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Answer:

I would say A

Step-by-step explanation:

Because just because a quadrilateral has 4 congruent sides, does not make it a rhombus. Because a square has 4 congruent sides too.

Check the picture below.

Answer: 27.3861278753

Step-by-step explanation:

√750 = 27.3861278753

f(-3) = -1

We can find an unknown y-value by plugging an x-value into a given function.

Function Notation

Before we answer this question, we need to understand the notation of the equation. In function notation, the equation is given in terms of f(x).

For example, f(-3) represents the value of y when x = -3.

Finding f(3)

As stated above, to find f(-3) we need to plug -3 in for x. *Remember to use PEMDAS when solving.* This creates the new equation:

Then, distribute the exponent.

Next, multiply.

Distribute the negative.

Finally, add the remaining terms.

This means that when x = -3, y or f(-3) = -1.

Answer:

Step-by-step explanation:

0.29 as a fraction is 29/100. Anytime you have a decimal, just turn it into a whole number and simplify it. However, 29/100 is already in its simplest form.

Answer:

5i is an imaginary number and it's square is - 25.

by definition zero is considered to be both real and imaginary.

Step-by-step explanation:

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