For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. How much will Nicole make after babysitting for 8 hours?

Answer:

8.9-1.4x + (-6.5x) + 3.4x

8.9-1.4x - 6.5x +3.4x

      -1.4x - 6.5x  = -7.9x

         -7.9x+ 3.4x=-4.5x

Answer 8.9 -4.5x

Step-by-step explanation: Hope This Helps !!!

First you are going to remove the parentheses then COMBINE LIKE TERMS

Lastly you just put your equation together .

You have the following expression:

If the values of x and y are:

x = 9

y = 1

when you replace these values into the polynomial expression you obtian:

Hence, the answer is 73

Answer: 15 pumps

More the number of pumps lesser is the time taken to fill the tank

Number of pumps ∝ 1/Time

n = k / t

[where k = constant]

In 1st case

5 = k / (1.5)

k = 7.5

In second case

n = k / t

= 7.5 / 0.5

= 15

∴ 15 pumps are used to fill the empty tank in half an hour.

Answer

1 is 21 2 is 102 3 is 58 4 is 41 5 is 21 6 62

Step-by-step explanation:

pls mark brainliest

Answer:

7. 21

8. 102

9. 58

10. 41

11. 21

12. 62

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

Step 1: Locate and underline the whole numbers place (2) then look at the digit to the right (6):

2.6

Step 2: In this case, the digit to the right (6) is 5 or above. So, we add 1 to the whole numbers place (2). The digit(s) after the (2) are replaced by zeros (or dropped). Thus, we get 3 as the answer.

In short: 2.6 rounded to the nearest whole number is 3.

\(4x-5 = 3\)

\(4x = 8\)

\(x = 8÷4\)

\(x = 2\)

\(\qquad\qquad\huge\underline{{\sf Answer}}\)

\( \large \textbf{Let's evaluate~} \)

In order to write 4/6 as 2/3 we would break apart pieces and to write 4/6 as 8/12 we would combine pieces.

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.

In order to write 4/6 as 2/3 we have to express in its simplest form. This means that you have to divide 4/6 by 2. In order to write 4/6 as 8/23, multiply 4/6 by 2.

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Answer:

2 in

Step-by-step explanation:

Use the cube volume formula, V = s³, where s is the side length

Plug in 8 as V and solve for s:

V = s³

8 = s³

Take the cube root of both sides:

2 = s

So, the length of one side is 2 inches.

The length of one side of cube will be 2 in i.e. option D.

Volume is the amount of space that something contains or fills.

Volume of the cube = side³ = a³

We have,

Volume of the cube = 8 in³

And,

Side of cube = a

So,

Volume of the cube = side³ = a³

i.e.

8 = a³

⇒ a³ = 8

a = ∛8

On solving we get,

a = 2

i.e.

Side of cube = 2 in

Hence, we can say that the length of one side of cube will be 2 in i.e. option D.

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Answer:

c i think

Step-by-step explanation:

The fraction of Miriam’s budget would be left for food/dining if Miriam follows these guidelines is 1/7.

The fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.

From the information, 2/7 of the budget will be spent on lodging.

The amount spent on sightseeing will be twice as much as the amount spent on lodging. This will be:

= 2 × 2/7

= 4/7

The fraction of Miriam’s budget would be left for food/dining if Miriam follows these guidelines will be:

= 1 - (2/7 + 4/7)

= 1/7

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The factored form of f(x) is f(x) =  (x+2) (x+2)(x+4)      

What is a factor?

A factor is a number/expression that divides another number/expression, leaves zero remainder . In other words, if multiplying two numbers/expressions gives us a product, then the numbers/expressions we are multiplying are factors of the product because they are divisible by the product.

f(x) = x³ +8x² + 20x + 16

The value of x at which f(x) is zero, is the root

x= -2 is a root

so, ( x- (-2) ) = ( x+2) is a factor

Divide the polynomial  x³ +8x² + 20x + 16  by  ( x+2)  using long division method:

x+2)  x³ +8x² + 20x + 16  ( x² + 6x + 8

        x³ + 2x²

_______________________

               6x² + 20x + 16

                6 x² + 12x

____________________________

                            8x + 16

                            8x + 16

__________________________

                                00

f(x)= (x+2) (x² + 6x + 8 )

Factors of (x² + 6x + 8 ) are (x+2)(x+4)      

f(x) =  (x+2) (x+2)(x+4)      

Thus, the factored form of f(x) is f(x) =  (x+2) (x+2)(x+4)      

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Answer:

the price per book is $3 the constant of proportionality is 3

Step-by-step explanation:

12 divided by 4 is 3 and 9 divided by 3 is 3 so it means that the price for 1 book is going to be 3 and for every book you buy the original value will be 3.

There are 24 different possible orders in which the four groups can present their projects. This is the entire sample space for this event.

To describe the entire sample space of this event, we need to list all the possible orders in which the four groups (A, B, C, and D) can present their projects. The sample space consists of all the possible outcomes for this event.

In probability theory, the sample space is the collection of all potential results of a random experiment. It forms the basis for the evaluation and computation of probability. It is frequently represented using a set or list of unique elements and might be finite or infinite. It makes it possible to investigate uncertainty and unpredictability mathematically.

Here is the sample space:
1. ABCD
2. ABDC
3. ACBD
4. ACDB
5. ADBC
6. ADCB
7. BACD
8. BADC
9. BCAD
10. BCDA
11. BDAC
12. BDCA
13. CABD
14. CADB
15. CBAD
16. CBDA
17. CDAB
18. CDBA
19. DABC
20. DACB
21. DBAC
22. DBCA
23. DCAB
24. DCBA

So, there are 24 different possible orders in which the four groups can present their projects. This is the entire sample space for this event.

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Answer:

3/4 of a hour

Step-by-step explanation:

2 miles  = 0.5 hours

Divide by 2

1 mile = 0.25 hours

Multiply by 3

3 mile = 0.75 hours

Answer:

45 minutes or .75 of an hour or 3/4 of an hour

Step-by-step explanation:

if you walk 2 miles in a half-hour (30 minutes) , how long will it take to walk 3 miles. Well the answer is simple, we need to use proportions to solve it though. For example:

\(\frac{miles}{hours}\)   =    \(\frac{2}{.5}\)

therefore, half of .5 is .25

so for someone to complete 1 mile, it takes .25 of an hour. .25 of an hour is 15 minutes. Therefore, the correct simplified proportion is : \(\frac{1}{.25}\)

Now we need to find out what the denominator (bottom number/time) would be when the numerator (top number of the fraction) is =3.

Since we have the simplified version as a 1, we can just multiply .25 by 3 which is .75, and .75 of an hour is 45 minutes. Therefore the answer is 45 minutes.

Answer:

c

the only true failure can come if u quit

The rate of change of volume with respect to R is 4πR².

The rate of change function is defined as the rate at which one quantity is changing with respect to another quantity. In simple terms, in the rate of change, the amount of change in one item is divided by the corresponding amount of change in another. The rate of change formula gives the relationship describing how one quantity changes in relation to the change in another quantity. The rate of change from the coordinates of y to the coordinates of x can be found out as Δy/ Δx = (y2 - y1 )/ (x2 - x1 ). For a linear function, the rate of change m is represented in the slope-intercept form for a line: y=mx+b whereas the rate of change of functions is otherwise defined as, (f(b)-f(a))/ b-a.

The volume of the sphere is:

V = (4π/3)(R³)

Differentiating volume with respect to radius gives:

dV/dR  = (4π/3)× (3R²) = 4πR²

Thus, the rate of change of volume with respect to R is 4πR².

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If he gets Rupees 3048. 75 at the time of mature, then the rate of interest is   5% per annum.

Let's assume the rate of interest is r (in decimal form) and the total amount invested by Navin is T = 90 x 30 = 2700.

The formula for calculating the maturity value of a recurring deposit is

M = T[ (1+r)n - 1 ] / r

where M is the maturity value, n is the number of months, and r is the rate of interest.

Substituting the given values, we get:

3048.75 = 2700[ (1+r)^30 - 1 ] / r

Multiplying both sides by r and simplifying, we get:

3048.75r = 2700(1+r)^30 - 2700

Dividing both sides by 2700 and simplifying, we get

1.12824r = (1+r)^30 - 1

Using trial and error, we can find that r = 0.05 (i.e. 5%) satisfies the equation to a good approximation.

Therefore, the rate of interest is 5% per annum.

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Step-by-step explanation:

see above for the following

Answer:

---------------------------------

Find the scale factor:

Find the value of d:

By using the same logic and identity, we can also say that ¬(p∨¬q) is equivalent to q∧¬p.

a. To find the given series i.e.,  5∑n=0(9(2)n)−7(−3)nTo find 5∑n=0(9(2)n)−7(−3)n,

we need to find the first five terms of the series. The given series is,

5∑n=0(9(2)n)−7(−3)n5[(9(2)0)−7(−3)0] + [(9(2)1)−7(−3)1] + [(9(2)2)−7(−3)2] + [(9(2)3)−7(−3)3] + [(9(2)4)−7(−3)4]

After evaluating, we get:

5[(9*1) - 7*1] + [(9*2) - 7*(-3)] + [(9*4) - 7*9] + [(9*8) - 7*(-27)] + [(9*16) - 7*81]15 + 57 + 263 + 1089 + 4131= 5555b.

Given premises: p → q, ¬p → r, r → s.

We are to prove that ¬q → s. i.e.,

Premises: (p → q), (¬p → r), (r → s)

Conclusion: ¬q → s

To prove ¬q → s,

we need to assume ¬q and show that s follows.

Then we use the premises to derive s.

Proof:

1. ¬q        Assumption

2. ¬(¬q)    Double negation

3. p         Modus tollens 2,1 & p → q

4. ¬¬p      Double negation

5. ¬p        Modus ponens 4,3 (Conditional elimination)

6. r         Modus ponens 5,2 (Conditional elimination)

7. s         Modus ponens 6,3 (Conditional elimination)

8. ¬q → s     Conditional introduction (Implication)

Thus, ¬q → s is proven.

c. To show that ¬(p∨¬q) and q∧¬p are equivalent, we need to show that their negation is equivalent. i.e.,

we show that (p ∨ ¬q) ↔ ¬(q ∧ ¬p)Negation of (p ∨ ¬q) = ¬p ∧ q Negation of (q ∧ ¬p) = ¬q ∨ p

Thus, we are to show that (p ∨ ¬q) ↔ ¬(q ∧ ¬p) is equivalent to ¬p ∧ q ↔ ¬q ∨ p

Proof:

¬(q ∧ ¬p)  ≡  ¬q ∨ p       Negation of (q ∧ ¬p)(p ∨ ¬q)   ≡  ¬(q ∧ ¬p)  

De Morgan's laws ∴ (p ∨ ¬q) ≡ ¬q ∨ p

By using the same logic and identity, we can also say that ¬(p∨¬q) is equivalent to q∧¬p.

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a. The formula given is, ∑n=0(9(2)n)−7(−3)n. Let’s find out the first five terms of the given formula as follows:

First term at n = \(0:9(2)^0-7(-3)^0= 9 + 7= 16\)

Second term at n = \(1:9(2)^1-7(-3)^1= 18 + 21= 39\)

Third term at n = \(2:9(2)^2-7(-3)^2= 36 + 63= 99\)

Fourth term at n = \(3:9(2)^3-7(-3)^3= 72 + 189= 261\)

Fifth term at n = \(4:9(2)^4-7(-3)^4= 144 + 567= 711\)

Therefore, the first five terms of the given formula are: 16, 39, 99, 261, 711.

b. To prove that ¬q→s from p→q, ¬p→r, and r→s,

we need to use the law of contrapositive for p→q as follows:

¬q→¬p       (Contrapositive of p→q)¬p→r         (Given)

∴ ¬q→r        (Using transitivity of implication) r→s           (Given)

∴ ¬q→s        (Using transitivity of implication)

Therefore, ¬q→s is proved.

c. To show that ¬(p∨¬q) and q∧¬p are equivalent,

we need to use the De Morgan’s laws as follows:

¬(p∨¬q) ≡ ¬p∧q     (Using De Morgan’s law)      

≡ q∧¬p     (Commutative property of ∧)

Therefore, ¬(p∨¬q) and q∧¬p are equivalent.

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Answer:

First option) √13 m

Step-by-step explanation:

Using the Pythagorean theorem. 2^2+3^2=c^2

4+9=c^2

13=c^2

c=3.61

3.61 meters

Answer:

C = 7.72 ~ 7.7

Step-by-step explanation:

So when you solve this equetion you must 1st find x then c

we can find x by using cos(60)

cos(60) = x/14

x = cos(60) × 14

x = 1/2 ×14

x = 7

so after we find x we are going to solve c by using cos (25)

cos (25) = X/C = 7/c

cos(25) × C = 7

C = 7/cos (25)

C = 7.72 ~ 7.7

so the solution is 7.7

If demand or annual usage increases by 10 percent, the Economic Order Quantity (EOQ) will increase. The EOQ model is used in inventory management to determine the optimal order quantity that minimizes total inventory costs.

The Economic Order Quantity (EOQ) is a model used in inventory management to determine the optimal order quantity that minimizes total inventory costs. It takes into account factors such as demand, holding costs, and ordering costs. When demand or annual usage increases by 10 percent, it means that more units are being consumed or sold within a given time period.

With an increase in demand, the EOQ will also increase. This is because the EOQ formula takes into consideration the trade-off between holding costs and ordering costs. Holding costs are the costs associated with holding inventory, such as warehousing and insurance, while ordering costs are the costs incurred when placing an order, such as administrative and transportation costs.

When demand increases, more units need to be ordered to meet the higher demand. This results in an increase in ordering costs, as more frequent orders will need to be placed. Consequently, the EOQ will increase to find the new optimal order quantity that balances the increased ordering costs with the holding costs.

In summary, if demand or annual usage increases by 10 percent, the EOQ will increase due to the need to order more frequently to meet the higher demand, resulting in increased ordering costs. This adjustment ensures that the inventory management system remains efficient and cost-effective.

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Multiply 0.625/1 by 1000/1000 to get 625/1000. Reducing we get 5/8  

Answer:

x = 240°, x = 300°

Step-by-step explanation:

Using the identity

sin x = \(\frac{1}{cosecx}\) = \(\frac{1}{-\frac{2}{\sqrt{3} } }\) = - \(\frac{\sqrt{3} }{2}\) , then

x = \(sin^{-1}\) ( \(\frac{\sqrt{3} }{2}\) ) = 60° ← related acute angle

Since sin x < 0 then x is in 3rd / 4th quadrants

x = 180° + 60° = 240°

x = 360° - 60° = 300°

The equation that models this scenario is: \(c(x) = -2x^2 + 16x + 168\).

Given:

Average number of students per session = 14

Fee per session = $12

For every $2 increase in the fee.

Let x be the number of $2 fee increases.

So, the fee for each session is $12 + ($2 x) as there is a $2 increase for each x.

and, the average reduces by 1 for each $2 increase then the average number of students per session is 14 - x.

Now, the revenue generated

\({\text} Revenue (c(x)) =\) \({\text} Fee per session * Average number of students per session\)

Substituting the values of fee per session = 12 + 2x and Average= 14- x into above formula as:

\(c(x) = (12 + (2 x)) * (14 - x)\)

Expanding and simplifying the equation:

\(c(x) = (12 + 2x) * (14 - x)\)

\(c(x) = 168 - 12x + 28x - 2x^2\)

\(c(x) = -2x^2 + 16x + 168\)

Therefore, the equation is: \(c(x) = -2x^2 + 16x + 168\)

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Th question attached here seems to be incomplete, the complete question is:

Type the correct answer in each blank. Use numerals instead of words. If necessary, use / for the fraction bar(s). John hosts an art workshop on the weekends. He has an average of 14 students in each session and charges a fee of $12 per session. He estimates that for every $2 increases in the fee, the average number of students reduces by 1. Complete the equation that models this scenario, where c(x) is the revenue generated and x is the number of $2 fee increases.

c(x) =_x^2 +_x+_

Answer:

Step-by-step explanation:

its correct [hope this helped]

To find inflection points from the second derivative, follow these steps  Calculate the second derivative of the function.  Set the second derivative equal to zero and solve for the critical points.Determine the sign changes of the second derivative around each critical point. Identify the intervals where the sign changes occur.

Analyze the behavior of the function within each interval to determine the presence of inflection points. To understand the process more thoroughly, start by calculating the second derivative of the function. This can be done by differentiating the function twice with respect to the independent variable. Next, find the critical points by setting the second derivative equal to zero and solving the resulting equation. Once you have the critical points, examine the sign changes of the second derivative around each point.

A change from positive to negative or vice versa indicates a potential inflection point. Finally, analyze the behavior of the function within each interval to confirm the presence of inflection points. Keep in mind that not all critical points will correspond to inflection points, so it is essential to consider the behavior of the function in each interval.

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The functions y = -4sin (x) and y = 4sin (x) has the given properties.Functions help to define the relationship between the independent and the dependent variable.

A expressions defining a connection between the independent variable and dependent variable is known as the functions.

A feature that:

The domain is defined as the set of all real numbers.

a single x-intercept

The amplitude is four.

The y-intercept is defined as (0,0)

Because the specified function goes through the functions having "cosine," the functions containing "cosine" can be omitted from the selections (0,0). As a result, we have two options:

Hence  y = -4sin (x) and y = 4sin (x) has the given properties.

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Answer:

A) y = -4sin(x)

Step-by-step explanation:

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