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2 years ago

I’ll mark the best answers brainliest !!

Mathematics

2 answers:

yawa3891 [41]2 years ago

5 0

1. X=4.6478
2. X=12/12929
3. X=13177500/2143
4.x=-5

marissa [1.9K]2 years ago

3 0

1. X=4.6478

2. X=12/12929

3. X=13177500/2143

4.x=-5

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Each statement describes a transformation of the graph of y = x. Which statement correctly describes the graph of y = x + 10?

scoray [572]

Answer:

Step-by-step explanation:

since it is the slope form y = mx+b

b = y axis

so in order to go up you have to translate upwards

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8 0

2 years ago

Read 2 more answers

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:

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

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

Hence, the amount of oil was decreasing at 69300 barrels, yearly

7 0

2 years ago

Which is one way to check 102÷6=17

posledela

D is the correct answer i think

5 0

2 years ago

Plz help me well mark brainliest if correct!!.....

anygoal [31]

D. 12 inches

hope this helps

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2 years ago

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Nolan Walker decided to buy a used snowmobile since his credit union was offering such low interest rates. He borrowed $2,700 at

Lapatulllka [165]

He pays in interest of $111.0375. Interest is calculated in the two ways, by compounding or by simple interest.

<h3>How to calculate simple interest amount?</h3>

If the initial amount (also called as principal amount) is P, and the interest rate is R % annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

$I = \dfrac{P \times R \times T}{100}$

The given data in the problem is;

The principal is,P=$2700

The rate of interest = 3.5%

The total time interval is,T

The total time interval is;

$\rm T= 5+365+31+21\ days$

The simple interest is found as;

$\rm SI = P \times R \times T \\\\ \rm SI = 2700 \times 0.0035 \times 1.172222 \\\\ SI=111.0375$

Hence, he pays in interest of $111.0375.

To learn more about simple interest, refer to the link;

brainly.com/question/5319581

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2 years ago