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3 years ago

Kim earns $48 washing 8 dogs. At this rate, how much does Kim earn washing 7 dogs?

Mathematics

2 answers:

Darina [25.2K]3 years ago

8 0

Answer:

42 dollars

Step-by-step ex

dexar [7]3 years ago

6 0

Answer:42 dollars

Step-by-step explanation:

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Find the derivative for the function.

dalvyx [7]

The rule for deriving a multiplication is

$(f(x)\cdot g(x))' = f'(x)g(x)+f(x)g'(x)$

Also, we can forget about the factor 4 for now, since we have

$(4f(x)\cdot g(x))' = 4(f'(x)g(x)+f(x)g'(x))$

So, we will just multiply everything by 4 at the end. Our functions are

$f(x) = (x^7-9)^{12},\quad g(x) = (4x+8)^{11}$

For both derivatives we will use the rule

$(f(x)^n)' = n\cdot f(x)^{n-1}\cdot f'(x)$

So, we have

$f'(x) = 12\cdot(x^7-9)^{11}\cdot 7x^6,\quad g'(x) = 11\cdot(4x+8)^{10}\cdot 4$

We can simplify those expression a little bit:

$f'(x) = 84x^6(x^7-9)^{11},\quad g'(x) = 44(4x+8)^{10}$

The formula $f'(x)g(x)+f(x)g'(x)$ thus becomes

$84x^6(x^7-9)^{11}\cdot (4x+8)^{11} + (x^7-9)^{12} \cdot 44(4x+8)^{10}$

And so the final answer is

$4(84x^6(x^7-9)^{11}\cdot (4x+8)^{11} + (x^7-9)^{12} \cdot 44(4x+8)^{10})$

If you simplify this expression by factoring common terms, you will see that the correct answer is the first one.

5 0

3 years ago

11. A bank teller has a total of 124 bills in five-dollar bills and ten-dollar bills. The total value of the

White raven [17]

Answer:

44 ten-dollar bills

Step-by-step explanation:

Assume that all 124 bills are ten-dollar bills,

124 x $10 = $1240

Total Value of Money : $840

$1240 - $840 = $400

There are $400 worth of five-dollar bills,

$400 / 5 = 80 (The number of five-dollar bills)

Therfore the number of ten-dollar bills,

124 - 80 = 44

Let's check:

44 x $10 = $440

80 x $5 = $400

Total = $440 + $400

= $840

3 0

3 years ago

Help me out ASAP! why they dont let me post

vesna_86 [32]

Answer:

t=11/13

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

7 divided by 982 long division

Ne4ueva [31]

Answer:

140r2

Step-by-step explanation:

7 0

3 years ago

A game starts by flipping a coin. If you get heads, then you get to roll a die and, if you roll a 4, you win the jackpot. If you

Mariana [72]

$\frac{5}{24}$

Step-by-step explanation:

There are two ways to win a jackpot.

Let $p_{1}$ be the probability for first method and $p_{2}$ be the probability for second method.

Probability to get a head= $p_{head}$ = $\frac{1}{2}$

Probability to get a $4$ in the die= $p_{4}$ $=\frac{1}{6}$

Probability to get a head and get a 4 in die=[ $p_{1}$ tex]p_{head}\times p_{4}[/tex]= $\frac{1}{2}\times \frac{1}{6} =\frac{1}{12}$

Probability to get a tail= $p_{tail}$ = $\frac{1}{2}$

Probability to get a heart= $p_{heart}$ = $\frac{13}{52} =\frac{1}{4}$

Probability to get a tail and get a heart in the deck= $p_{tail} \times p_{heart}$ = $\frac{1}{2}\times \frac{1}{4}=\frac{1}{8}$

Total probability to win a jackpot= $p_{1}+p_{2}=\frac{1}{12}+\frac{1}{8}=\frac{5}{24}$

So,probability to win a jackpot is $\frac{5}{24}$

3 0

4 years ago

Kim earns $48 washing 8 dogs. At this rate, how much does Kim earn washing 7 dogs?​

Kim earns $48 washing 8 dogs. At this rate, how much does Kim earn washing 7 dogs?