MATHEMATICS COLLEGE

2 to the Third power -(30÷5) +9

Answers

Answer 1

Answer:

Step-by-step explanation:

2^3-(30/5)+9

First, you divide 30/5 because it is in parentheses and we are following this rule for order of operations:

P- parentheses

E- exponents

M- multiplication

D- division

A- addition

S- subtraction

so 30/5 = 6 and plugged in is:

2^3-(6)+9

Next, we do exponents:

2^3 = 2x2x2 = 8

plugged back in:

8-(6)+9

Now, we do the math from left to right so:

8-6=2

2+9=11

11 is your answer

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An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let P(t) denote the number of people (in millions) who become aware of the product by time t. Suppose that P increases at a rate proportional to the number of people still unaware of the product. The company determines that no one was aware of the product at the beginning of the campaign, and that 50% of the people were aware of the product after 50 days of advertising. The number of people who become aware of the product at time t is:

Answers

Answer:

$P(t)=3,000,000-3,000,000e^(0.0138t)$

Step-by-step explanation:

Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have

$P'(t)=K(3,000,000-P(t))$

Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

P(0) = 0 and P(50) = 1,500,000

We have and ordinary differential equation of first order that we can write

$P'(t)+KP(t)= 3,000,000K$

The integrating factor is

$e^(Kt)$

Multiplying both sides of the equation by the integrating factor

$e^(Kt)P'(t)+e^(Kt)KP(t)= e^(Kt)3,000,000*K$

Hence

$(e^(Kt)P(t))'=3,000,000Ke^(Kt)$

Integrating both sides

$e^(Kt)P(t)=3,000,000K \int e^(Kt)dt +C$

$e^(Kt)P(t)=3,000,000K((e^(Kt))/(K))+C$

$P(t)=3,000,000+Ce^(-Kt)$

But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

$e^(-50K)=(1)/(2)\Rightarrow K=-(log(0.5))/(50)=0.0138$

And the equation that models the number of people (in millions) who become aware of the product by time t is

$P(t)=3,000,000-3,000,000e^(0.0138t)$

The width of a rectangle is 10 feet shorter than its length. The area of the rectangle is 60 square feet. Find the length and width. Round your answer to the nearest tenth of a foot.

Answers

Answer:

length: 14.2 ft; width 4.2 ft.

Step-by-step explanation:

Let x represent the length of the rectangle in feet. Then x-10 represents the width, and the area is ...

area = length×width

60 = x(x -10) . . . . . substitute the expressions for area, length, width

60 = x² -10x

85 = x² -10x +25 . . . . add (10/2)² to complete the square

85 = (x -5)² . . . . . . . . . rewrite as a square

√85 = x -5 . . . . . . . . . take the square root. Only the positive root is useful for this problem

x = 5 + √85 ≈ 14.2

x-10 = 4.2

The length and width of the rectangle are 14.2 ft and 4.2 ft.

Does anyone know the answer to this question?If the answer is true, please do answer me, thank you.
I'm really in a hurry!

Answers

Answer:

14x-28

Step-by-step explanation:

2(4x - 5) + 2(3x+9)

Convert 32/5 to a mixed number.

Answers

The mixed form of the factor 32/5 will be 6²/₅.

To convert the fraction 32/5 to a mixed number, we need to find the whole number part and the fractional part.

Divide the numerator (32) by the denominator (5) to find the whole number part. In this case, 32 divided by 5 equals 6 with a remainder of 2.

The quotient, 6, represents the whole number part of the mixed number.

The remainder, 2, represents the numerator of the fractional part.

The denominator remains the same.

Putting it all together, the mixed number representation of 32/5 is 6 and 2/5.

So, 32/5 is equal to 6 and 2/5.

To know more about mixed numbers follow

brainly.com/question/18120044

#SPJ6

Answer:

6 2/5

Step-by-step explanation:

6×5= 30 + 2= 32

I hope this helps in any way.

1) Uma pessoa saiu de casa indo as compras com R$240,00 na carteira, sendo que gastou no supermercado 2/3 deste valor, em seguida gastou 14 do que havia sobrado na farmácia. Em uma parada no açougue, deixou mais 72 do que lhe havia sobrado. Após estas despesas qual o valor que lhe havia sobrado. Após estas despesas qual o valor restante na carteira dessa pessoa? A)R$ 40,00 B)R$ 30,00 C)R$ 20,00 D)R$ 1000 E)R$ 5,00

Answers

Answer:

The remaining amount in the person's wallet is $30.

Step-by-step explanation:

We are given that a person left the house to go shopping with $240.00 in his wallet, and he spent 2/3 of this amount in the supermarket, then spent 1/4 of what was left in the pharmacy. At a stop at the butcher shop, he left 1/2 than he had left.

And we have to find the remaining money in the wallet after making all these above expenses.

At the starting, the amount of money in the person's wallet = $240

Amount of money spent in the supermarket = $(2)/(3) \text{ of } \$240$

= $(2)/(3) * 240$

= $2 * 80$ = $160

So, now the amount of money left with him = $240 - $160

= $80

Amount of money spent in the pharmacy = $(1)/(4) \text{ of } \$80$

= $(1)/(4) * 80$ = $20

So, now the amount of money left with him = $80 - $20

= $60

Now, Amount of money spent at the butcher shop = $(1)/(2) \text{ of } \$60$

= $(1)/(2) * 60$ = $30

So, now the amount of money left with him = $60 - $30

= $30

Hence, the amount of money remaining in the person's wallet is $30.

Practice Question1) VAT (value-added tax) is paid on things that you buy.
The table on the right shows the 2019 VAT rates.
This is how much VAT is charged on certain items
as a percentage of the item's cost.
VẬT (%)
20
5
0.
Items
Chocolate and crisps
Gas and electric
Fruit and vegetables
Currena
Before VAT is added, Simon pays 12p per unit of
electricity plus a fixed charge of £87 per year.
How much does Simon pay in VAT if he uses 3000 units of electricity in one year?
er hour
Shane and Space