clarify each function as a linear function, a linear absolute value function, a quadratic function, or an exponential function

(01.02 LC) Simplify 8 - (14)

nignag [31]

Answer:

8-14 or -6

Step-by-step explanation:

7 0

3 years ago

A set of data included the numbers 19, 81, 75, 42, 33 57, and 60. What number could be added to the data to cause the range to b

dsp73

Answer:

109

Step-by-step explanation:

81-19 is 62. if you add 109 then you could do 109-19 is 90

6 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

in chemical formulas, there are often subscript numbers (such as the 2 in h2o, or the 6, 12, and 6 in c6h12o6). what do these su

Gnesinka [82]

In a Chemical formula, Subscript figures tell us how numerous of the element to their upper-left there are in the patch.

What is a chemical formula?

In chemistry, a chemical formula is a way of presenting information about the chemical proportions of titles that constitute a particular chemical emulsion or patch, using chemical element symbols, figures, and occasionally also other symbols, similar as hiatuses, dashes, classes, commas, and plus() and disadvantage( −) signs.
These are limited to a single typographic line of symbols, which may include subscripts and subtitles.
A chemical formula may indicate certain simple chemical structures, it isn't the same as a full chemical structural formula.

The subscript number indicates the total number of titles of an element present in a patch.

While witting a chemical formula, first we've to write the symbol of an element and also write the number at the bottom of the symbol.

For illustration,

$C_6H_{12}O_6$ is the chemical formula of the glucose patch. The glucose patch is made up of six carbon titles, twelve hydrogen titles, and 6 oxygen titles.

The number 6 of the carbon snippet is written after and at the bottom ( lower- right) of the symbol of carbon element (C). also, the number 12 is written lower-right of the symbol of hydrogen element (H), and the number 6 is written lower-right of the symbol of oxygen element( O).

thus, the subscript figures tell us how numerous of the element to their upper-left there are in the patch.

Learn more about subscript here:

brainly.com/question/18452587

#SPJ4

4 0

1 year ago

What is s real-world story problem for 5+ -14

lord [1]

Answer:

global warming

Step-by-step explanation:

icebergs are melting which in the future can cause floods and also the warmer earth gets then the crops 2ouldnt grow

4 0

2 years ago