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Gnoma [55]
3 years ago
14

-8p=40 Solve for P (Algebra)

Mathematics
1 answer:
STALIN [3.7K]3 years ago
5 0

Step-by-step explanation:

solution

or,-8p=40

or, p=40/-8

or, p=-5

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A concrete mixing tub contains 34 liters of water and 22 liters of sand. Starting at the same time, water is added to the tub at
lubasha [3.4K]

Answer:

6 minutes

6

6 minutes

6 minutes

3 0
3 years ago
Lim x->pi/3 ((2cosx-1)/(tan^2x-3))
beks73 [17]

You can check that the limit comes in an undefined form:

\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\dfrac{0}{0}

In these cases, we can use de l'Hospital rule, and evaluate the limit of the ratio of the derivatives. We have:

\dfrac{\text{d}}{\text{d}x}2\cos(x)-1 = -2\sin(x)

and

\dfrac{\text{d}}{\text{d}x}\tan^2(x)-3 = 2\dfrac{\tan(x)}{\cos^2(x)}=\dfrac{2\sin(x)}{\cos^3(x)}

So, we have

\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\lim_{x\to\frac{\pi}{3}} \dfrac{-2\sin(x)}{\frac{2\sin(x)}{\cos^3(x)}}=\lim_{x\to\frac{\pi}{3}}-\cos^3(x)=-\cos^3\left(\dfrac{\pi}{3}\right)

6 0
3 years ago
Holly begins with 1 penny in her piggy bank. She adds 2 pennies on day 1, 4 pennies on day 2, and 8 pennies on day 3. She contin
muminat

Answer:

All the options are correct.

Step-by-step explanation:

Holly begins with 1 penny in her piggy bank. She adds 2 pennies on day 1, 4 pennies on day 2, and 8 pennies on day 3. She continues this pattern for 30 days.

The pattern which she choses is 2^n where n denotes the number of days.

A)

The graph of this sequence would pass the vertical line test.

" Vertical line test: A function can only have one output, y, for each unique input, x " .

Here also y=2^n and x=n.

B)

Each day corresponds to a unique amount of pennies in this sequence.

Since the sequence is increasing, hence option B is correct.

C)

The graph of this sequence would pass the horizontal line test.

A test use to determine if a function is one-to-one.

As for each n we get a unique value.

Hence, option C is correct.

D)

Each amount of pennies corresponds to a unique day in this sequence.

This option is also true as each  amount is a function of number of days.

5 0
3 years ago
Read 2 more answers
The value of -4 5/8 - x is positive. What are two possible values of x?
monitta

Answer:

-6, -7

Step-by-step explanation:

basically

-4 5/8 - x >0

so

x< -4 5/8

you just need 2 values less than -4 5/8

like -6 and -7

6 0
3 years ago
In the formula A(t) = A0ekt, A(t) is the amount of radioactive material remaining from an initial amount A0 at a given time t an
Alenkasestr [34]

Answer:  693 years

Step-by-step explanation:

Expression for rate law for first order kinetics is given by:

A(t) =A_0e^{kt}

k = rate constant

t = time taken for decomposition = 1

A_0 = Initial amount of the reactant

A_t = amount of the reactant left =A_0-\frac{0.1}{100}\times A_0=0.999A_0

0.999A_0=A_0e^{k\times 1}

0.999=e^k

k=-0.001year^{-1}

for half life : t=t_\frac{1}{2}

A_t=\frac{1}{2}A_o

Putting in the values , we get

\frac{1}{2}A_0=A_0e^{-0.001\times t_\frac{1}{2}

t_\frac{1}{2}=693 years

Thus half life of this isotope, to the nearest year is 693.

8 0
4 years ago
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