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Greeley [361]
3 years ago
15

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

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
8 0

Answer:

number 2 is linear number 4 is quadratic number 5 is constant

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(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
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