A certain video game costs $35, and there is 4% sales tax.

What is one way to determine what the amount of sales tax will be?

Select from the drop-down menus to correctly complete the statement.

1% of $35 is $
Choose...
, so 4% of $35 is $
Choose...

Answer:

1/16

Step-by-step explanation:

If 11^-x=4, then 11^x=1/4.

If 11^x=1/4, then 11^2x=(1/4)^2 which equals 1/16.

Answer:

1/8 * 3

Step-by-step explanation:

1/8*3 means the numerator gets multiplied by 3 so we get (1*3)/8 which is 3/8

The equivalent value of the fraction is A = 3/8 = ( 3/4 ) ( 1/2 )

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first fraction be p

Let the second fraction be q

Now , A = pq

when the value of p = 3/4

And , when the value of q = 1/2

On simplifying the equation , we get

3/8 = ( 3/4 ) ( 1/2 )

So , the left hand side of the equation is equated to the right hand side by the value of ( 3/4 ) ( 1/2 )

A = ( 3/4 ) ( 1/2 )

A = 3/8

Therefore , the value of A = 3/8 = ( 3/4 ) ( 1/2 )

Hence , the fraction is A = 3/8 = ( 3/4 ) ( 1/2 )

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Answer:

The correct answer is:

D. Action: Divide both sides by 4.

E. Property: Division property of equality.

Answer:

lol

Step-by-step explanation:

Answer:

math kinda sucks. :) Brainliest pls???

Step-by-step explanation:

The negations of the given statements with the application of De Morgan's law and/or conditional law.

a) ∃x (¬P(x) ∨ ¬R(x))

De Morgan's law:

∃y ∀z(¬P(y) ∧ ¬Q(z))

b) ∃y ∀z(¬P(y) ∧ ¬Q(z))

The double negation:

∃y ¬∃z(P(y) ∨ Q(z))

c) ¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

The conditional law:

¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

Let's form the negation of the given statements and apply De Morgan's law and/or conditional law, when applicable:

a) ∀x (P(x) ∧ R(x))

The negation of this statement is:

∃x ¬(P(x) ∧ R(x))

Now let's apply De Morgan's law:

∃x (¬P(x) ∨ ¬R(x))

b) ∀y∃z(¬P(y) → Q(z))

The negation of this statement is:

∃y ¬∃z(¬P(y) → Q(z))

Using the conditional law, we can rewrite the negation as:

∃y ¬∃z(¬¬P(y) ∨ Q(z))

c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

The negation of this statement is:

¬∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

Using the conditional law, we can rewrite the negation as:

¬∃x (P(x) ∨ (∀z (R(z) ∨ ¬Q(z))))

Applying De Morgan's law:

¬∃x (P(x) ∨ (∀z ¬(¬R(z) ∧ Q(z))))

Simplifying the double negation:

¬∃x (P(x) ∨ (∀z ¬(R(z) ∧ Q(z))))

Using De Morgan's law again:

¬∃x (P(x) ∨ (∀z (¬R(z) ∨ ¬Q(z))))

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We can conclude that -

        Q = 5(280 - P)

Given is a story of Dr. Leona Williams who is a well-known plastic surgeon.

{ 1 } -

Dr. Williams estimated demand for her work is -

Q = 280 - 0.2P

Inverse of a function can be calculated by following the steps mentioned below -

So, we can write -

P = 280 - 0.2Q

P - 280 = - 0.2Q

- (280 - P) = - 0.2Q

(280 - P) = 0.2Q

Q = (280 - P)/0.2

Q = 5(280 - P)

{ 2 } -

The average variable cost function for reconstructive nose surgery is -

AVC = 2Q² – 15Q + 400

Let AVC = A{Q}

For maximum profit -

d/dQ (A{Q}) = 0

d/dQ (2Q² – 15Q + 400) = 0

d/dQ (2Q²) - d/dQ (15Q) + d/dQ (400) = 0

4Q - 15 = 0

4Q = 15

4Q = 15

Q = 3.7

Q = 4 {approx.}

Therefore, we can conclude that -

        Q = 5(280 - P)

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Answer:

4.5·π cm² + 18 cm²

Step-by-step explanation:

Answer:

what is there perimeter

Answer:

0.47 dollars per kilogram and 2.14 kilograms per dollar should be it.

The probability that the buyer waits more than 10 minutes is 0.0271

From the question, we have the following parameters that can be used in our computation:

Probability function:

fy(y)=0.2e^(-0.2y), y ≥ 0

The inequality expression y ≥ 0 means that

The value of y is atleast 0

The probability that the buyer waits more than 10 minutes means that

y = 10

So, we have the following representation

y = 10 in fy(y)=0.2e^(-0.2y)

Substitute the known values in the above equation, so, we have the following representation

fy(10)=0.2e^(-0.2 * 10)

Evaluate the exponents

fy(10)=0.2 * 0.13533528323

Evaluate the products

fy(10) = 0.0271

Hence, the probability is 0.0271

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Answer:

The balance in the account after 3 years is approximately $2313.94.

Step-by-step explanation:

The formula for calculating the balance in a continuously compounded account is:

B = Pe^(rt)

Where:

B = balance

P = principal

e = Euler's number (approximately 2.71828)

r = annual interest rate (as a decimal)

t = time in years

Using the given values, we have:

P = $2000

r = 0.051 (5.1% expressed as a decimal)

t = 3

Plugging these values into the formula, we get:

B = 2000e^(0.051*3)

B = 2000e^(0.153)

B = $2313.94 (rounded to the nearest cent)

Therefore, the balance in the account after 3 years is approximately $2313.94.

Answer: Cost of  a giant cookies = $1.39

Cost of a cake= $6.95

Cost of a pie= $4.95

Step-by-step explanation:

Let price of a giant cookie = x

Then,

price of a cake = 5x

Price of a pie = 5x-2

Cost of  30 cakes, 40 pies, and 200 giant cookies = 30 (5x)+40(5x-2)+200x

= 150x+200x-80+200x   [By distributive property a(b+c)=ab+ac]

= 550x-80

Given cost = $684.50

\(\Rightarrow\ 550x-80=684.50\\\\\Rightarrow\ 550x= 684.50+80\)

\(\Rightarrow\ 550x=764.50\\\\\Rightarrow\ x=\dfrac{764.50}{550}\\\\\Rightarrow\ x=1.39\)

Cost of  a giant cookies = $1.39

Cost of a cake = 5 x $1.39  = $6.95

Cost of a pie = $6.95 -  $2 = $4.95

Answer:

1 hour and 50 minutes

Step-by-step explanation:

Time Connie takes to clean the house: 210 minutes

Time takes for both of them at the same time: 100 minutes.
210 - 100 = 110 minutes

Therefore, Alvaro takes one hour and 50 minutes to clean the house by himself.

Answer:Alvaro can clean the house alone in approximately 3.89 hours.

Step-by-step explanation:

If Connie can clean her house in 3.5 hours, then her rate of work is 1/3.5 of the house per hour. Together, Connie and Alvaro can clean the house in 1 hour and 40 minutes, or 1.67 hours.

To find how long it would take Alvaro to clean the house alone, we can use the formula:

combined rate of work = sum of individual rates of work

So, (1/3.5 + 1/a) * 5/3 = 1, where "a" is the time it takes Alvaro to clean the house alone.

Simplifying the equation, we get 1/a = 9/35, which means that Alvaro can clean the house alone in approximately 3.89 hours (or 3 hours and 53 minutes).

To know if it is function, we need to check if each input value only leads to one output value.

In this graph, input values are led to just one output value, so the correct answer is [ Yes, because each x-value has exactly on corresponding y-value ]

We can also check the vertical line test. The line doesn't pass through more then once which proves out answer.

Best of Luck!

Answer:

C yes, because each x value has exactly one corresponding y value

Step-by-step explanation:

This is a function,  each x value goes to only one y value.  This is a one to one correspondence.  We can also tell by the vertical line test.  The graph only passes once through a vertical line, which makes it a function.

Answer:

1.5 for each song.

Step-by-step explanation:

subtract $6.99 by $21.99 = 15 divided by 10 = 1.5

Answer:

31.4

Step-by-step explanation:

d = 10

radius times 2 = d

multiply the circle's diameter by pi (3.14).

31.4

Answer:

4/15

Step-by-step explanation:

total: 16 + 20 + 24 = 60

16 are blue

then:

the fraction of blue marbles:

16/60 = 4/15

The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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Answer:

10x+15

Step-by-step explanation:

area of the two rectangles combined is one big rectangle

area of rectange= base*height

base length: 2x+3

height: 5

(2x+3)*5

=(2x*5)+(3*5)

=10x+15

The maximum revenue, to the nearest whole dollar, is $180,625 (option c).

To find the maximum revenue, we need to determine the vertex of the quadratic function represented by the revenue equation.

The revenue equation is given as:

R(p) = -4p² + 1700p

The vertex of a quadratic function in the form of f(x) = ax² + bx + c can be found using the formula:

x = -b / (2a)

For the given revenue equation, a = -4 and b = 1700. Plugging these values into the formula, we have:

p = -1700 / (2 × -4)

p = -1700 / -8

p = 212.5

The maximum revenue occurs at p = 212.5.

To find the maximum revenue, we substitute this value back into the revenue equation:

R(p) = -4(212.5)² + 1700(212.5)

R(p) = -4(45256.25) + 361250

R(p) = -181025 + 361250

R(p) = 180625

Therefore, the maximum revenue, to the nearest whole dollar, is $180,625 (option c).

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So we have the equations:

    y - 4x = 2 --- equation 1

   5y - 2x = 1 --- equation 2

(equation 2) * 2

  10y - 4x = 2 --- equation 3

(equation 2) - (equation 3)

 -9y = 0   so y= 0 and thus x = -1/2

Hope that helps!

Answer:

4(sin^2(x) -2sin^2(x/2))

Step-by-step explanation:

Matter of factorising

Answer:

It is 4(cos(x)-cos^2(x))

Step-by-step explanation:

I used an app on chegg and found that this is the only answer that is equivalent

Answer:

? = 900

Step-by-step explanation:

lets change ? to x

(100 + x) / 100 = 10

we will substitute /100

(100 + x) /100 · 100 = 10 · 100

100 + x = 1000

we substitute +100

100 + x -100 = 1000 - 100

x = 900

hope this helps =D happy learning!!

The ways to elect the candidates from the total is 462

From the question, we have

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 11 and r = 6

Substitute the known values in the above equation

Total = ¹¹C₆

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 11!/5!6!

Evaluate

Total = 462

Hence, the number of ways is 462

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The number she'd have is:

Explanation:

First, let's see which number is in the tens place and which number is in the ones place (the units place).

In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).

So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :

550

That's not all, since we also add 1 to the tens:

560

Answer:

405

Step-by-step explanation:

Answer: $370

Step-by-step explanation:

I just added 70 to the 300.

Here you go you for your little iready cheats!  : )

Answer:

Step-by-step explanation:

f(x) = 4x² - 6

To find f(3) substitute the value of x that's 3 into f (x) that is for every x in f (x) replace it with 3

We have

f(3) = 4(3)² - 6

= 4(9) - 6

= 36 - 6

We have the final answer as

Hope this helps you

Answer: f(3) = 30

Step-by-step explanation:

Answer:

it's the second one

Step-by-step explanation:

We want to solve the following system of equations

and

where x is the number of adult tickets sold and y is the number of child tickets sold.

From the first equation, we can deduce that

If we replace this value on the second one, we get

If we operate on the left hand side, we get

Then, if we subtract 14 on both sides, we get

Finally, if we divide both sides by 3, we get

If we replace this value in the original equation, we have that

So 8 adult tickes and 7 child tickets were sold in total.

Answer:

70.73%

29/41 = 0.7073...

Move the decimal over 2 places and get: 70.73

The derivative formula for the division of two functions is equal to d [θ(x)] / dx = [g(x) · f'(x) - f(x) · g'(x)] / [g(x)]², where θ(x) = f(x) / g(x).

In this problem we need to derive the formula for the derivative of the division of two functions, that is, the expression θ(x) = f(x) / g(x). First, we write the definition of the derivative for the given expression:

\(\frac{d}{dx} [\theta (x)] = \lim_{h \to 0} \frac{\theta(x + h) - \theta (x)}{h}\)

Second, substitute and expand the expression by algebra properties:

\(\frac{d}{dx} [\theta (x)] = \lim_{h \to 0} \frac{\frac{f(x + h)}{g(x + h)} - \frac{f(x)}{g(x)} }{h}\)

\(\frac{d}{dx}[\theta (x)] = \lim_{h \to 0} \frac{f(x + h) \cdot g(x) - f(x) \cdot g(x + h)}{h\cdot g(x + h)\cdot g(x)}\)

Third, expand and simplify the expression one more time by algebra properties and limit properties:

\(\frac{d}{dx} [\theta (x)] = \lim_{h \to 0} \frac{f(x + h) \cdot g(x) - f(x) \cdot g(x) + g(x) \cdot f(x) -f(x) \cdot g(x + h)}{h \cdot g(x + h) \cdot g(x)}\)

\(\frac{d}{dx}[\theta (x)] = \lim_{h \to 0} g(x) \cdot \frac{f(x + h) - f(x)}{h\cdot g(x+h)\cdot g(x)} - \lim_{h \to 0} f(x) \cdot \frac{g(x + h) - g(x)}{h\cdot g(x+h)\cdot g(x)}\)

\(\frac{d}{dx}[\theta (x)] = \lim_{h \to 0} \frac{g(x)}{g(x + h) \cdot g(x)} \cdot \lim_{h \to 0} \frac{f(x + h) - f(x)}{h} - \lim_{h \to 0} \frac{f(x)}{g(x+ h) \cdot g(x)} \cdot \lim_{h \to 0} \cdot \frac{g(x + h) - g(x)}{h}\)

Fourth, simplify the resulting expression by evaluating the limits:

d [θ(x)] / dx = [g(x) / [g(x)]²] · f'(x) - [f(x) / [g(x)]²] · g'(x)

d [θ(x)] / dx = [g(x) · f'(x) - f(x) · g'(x)] / [g(x)]²

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