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2 years ago

Find the distance between ( -2, 5) (-2, 14).

Mathematics

1 answer:

WITCHER [35]2 years ago

6 0

Answer:

Step-by-step explanation:

x didn't change in value, y changed by 9

the distance between the two points is 9

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It will take Mr. warner 15 1/2 hours to install a fence. Each day he works 1 1/3 hours on the fence. After he finished working o

zmey [24]

15.5-3.5=12. this is how many hours he has worked already.

12/1⅓=9. this is because how many hours he has worked per how many hours he worked per day to show how many days he worked

the answer is 9 days.

12hours * 1day/1⅓ hours
^^ignore that if it doesn't make sense, but basically the hours will cancel and you'd be left with days as your only unit to show why you would divide 12 by 1⅓

hope this helped!

8 0

3 years ago

Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were millio

JulijaS [17]

Answer:

The amount of oil was decreasing at 69300 barrels, yearly

Step-by-step explanation:

Given

$Initial =1\ million$

$6\ years\ later = 500,000$

Required

At what rate did oil decrease when 600000 barrels remain

To do this, we make use of the following notations

t = Time

A = Amount left in the well

So:

$\frac{dA}{dt} = kA$

Where k represents the constant of proportionality

$\frac{dA}{dt} = kA$

Multiply both sides by dt/A

$\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}$

$\frac{dA}{A} = k\ dt$

Integrate both sides

$\int\ {\frac{dA}{A} = \int\ {k\ dt}$

$ln\ A = kt + lnC$

Make A, the subject

$A = Ce^{kt}$

$t = 0\ when\ A =1\ million$ i.e. At initial

So, we have:

$A = Ce^{kt}$

$1000000 = Ce^{k*0}$

$1000000 = Ce^{0}$

$1000000 = C*1$

$1000000 = C$

$C =1000000$

Substitute $C =1000000$ in $A = Ce^{kt}$

$A = 1000000e^{kt}$

To solve for k;

$6\ years\ later = 500,000$

i.e.

$t = 6\ A = 500000$

So:

$500000= 1000000e^{k*6}$

Divide both sides by 1000000

$0.5= e^{k*6}$

Take natural logarithm (ln) of both sides

$ln(0.5) = ln(e^{k*6})$

$ln(0.5) = k*6$

Solve for k

$k = \frac{ln(0.5)}{6}$

$k = \frac{-0.693}{6}$

$k = -0.1155$

Recall that:

$\frac{dA}{dt} = kA$

Where

$\frac{dA}{dt}$ = Rate

So, when

$A = 600000$

The rate is:

$\frac{dA}{dt} = -0.1155 * 600000$

$\frac{dA}{dt} = -69300$

<em>Hence, the amount of oil was decreasing at 69300 barrels, yearly</em>

7 0

2 years ago

WhiThree-fifths of the members of the Spanish club are girls. There are a total of 30 girls in the Spanish club.

vesna_86 [32]

Answer:

The total members in the Spanish Club = 50

Step-by-step explanation:

Let the total members in the Spanish Club = x

Now, number of girls in the club = 30

Three-fifths of the members are girls.

⇒ $(\frac{3}{5} )$ of total members x = 30

or, $(\frac{3}{5}) \times x = 30\\$

Now, solving for x, we get:

$x = 30 \times\frac{5}{3} = 50$

or, x = 50

Hence,the total members in the Spanish Club = 50

7 0

3 years ago

Help!!(thank you so much)

mylen [45]

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Or just subtract

9.884 * 10^6 - 1.009 * 10^7=

− 2.05999999 × 10^5

Rounded up is:

− 2.06× 10^5

(❁´◡`❁)

8 0

3 years ago

Simplify (2x-2y)(2y + 8)

Rasek [7]

Answer:

=4xy−4y2+16x−16y

Step-by-step explanation:

(2x−2y)(2y+8)

=(2x+−2y)(2y+8)

=(2x)(2y)+(2x)(8)+(−2y)(2y)+(−2y)(8)

=4xy+16x−4y2−16y

=4xy−4y2+16x−16y

6 0

2 years ago

Read 2 more answers