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satela [25.4K]
3 years ago
7

Taylor has a $30 gift card that she can spend at the store. She has already bought

Mathematics
1 answer:
Rudik [331]3 years ago
5 0
That’s 30 dollars she has
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ken has 16 marbles. He wants to put them into bags that hold 5 marbles each. Can there be equal shares of marbles with no marble
LiRa [457]
There can not be equal sharings since 16/5 does not equal a whole number! Good luck :)
7 0
4 years ago
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If a line passes through the points (2.5,2.5) and (3.5,5.5), the equation of the line is y-5.5 = 3(x- blank ). ​
timurjin [86]

Answer:

(x- 2.5)

Step-by-step explanation:

5 0
3 years ago
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Use logarithmic differentiation to find dy/dx. y = (1 + x)^1/x, x > 0
vovangra [49]

Use exp/log functions to rewrite y as

y = (1+x)^{\frac1x} \implies y = \exp\left(\ln\left(1+x)^{\frac1x}\right)\right)

One of the properties of logarithms lets us bring down the exponent, so

y = \exp\left(\dfrac{\ln(1+x)}x\right)

Now take the derivative of both sides with respect to x. By the chain and quotient rules,

\dfrac{dy}{dx} = \exp\left(\dfrac{\ln(1+x)}x\right) \times \dfrac{\frac x{1+x} - \ln(1+x)}{x^2}

Simplify:

\boxed{\dfrac{dy}{dx} = \frac{x - (1+x)\ln(1+x)}{x^2(1+x)} (1+x)^{\frac1x}}

6 0
2 years ago
A restaurant manager can spend at most $400 a day for operating costs and payroll. It costs $100 each day to operate the bank an
horrorfan [7]

Answer:

The restaurant Manager can afford 6 employees for the day.

Step-by-step explanation:

Manager can spend at most of $400.

Total Money ≤ $400

Cost to operate bank = $100

Cost for each employee = $50

Let number of employees for the day bex

Hence the equation will become;

50x + 100 \leq 400

Solving this equation we get;

50x + 100 \leq 400\\50x \leq 400-100\\50x \leq 300\\x\leq \frac{300}{50}\\\\x\leq 6

Hence, The restaurant Manager can afford 6 employees for the day.

3 0
4 years ago
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y varies inversely with x. If y = 2.4 and k (the constant of variation) = 8.88, what is x? Round to the nearest tenth, if necess
Archy [21]

Answer:

3.7

Step-by-step explanation:

Inversely means we are taking the constant and dividing it.

So y varies inversely with x means "y=k/x".

k is a constant.  We can find the constant if they give us a point on this curve.

The constant is a number that doesn't change no matter your input and output.

y=\frac{k}{x}

So they actually give us k=8.88 and y=2.4 so let's input this:

2.4=\frac{8.88}{x}

We need to solve this equation for x.  You can do your favorite thing in cross-multiply. But how, Freckles?  Well just slap a 1 underneath that 2.4.  You can do that because 2.4/1 is still 2.4.

\frac{2.4}{1}=\frac{8.88}{x}

Cross-multiply:

2.4x=8.88(1)

2.4x=8.88

Divide both sides by 2.4:

x=\frac{8.88}{2.4}

x=3.7 when y=2.4.

8 0
4 years ago
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