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natta225 [31]
2 years ago
7

20 POINTS ASAP 16 = 2^x − 2 a)2 b)4 c)6 d)8

Mathematics
1 answer:
Lilit [14]2 years ago
8 0

Answer:

4

Step-by-step explanation:

Exact Form:

x

=

ln( 18)

---------

ln (2)

Decimal Form:

x=4.16992500

…

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72

Step-by-step explanation:

12x6=72

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How to find the measurement of a parallelogram
Shtirlitz [24]

Answer:

In a parallelogram, consecutive angles are supplementary. Thus,

B +  C = 180^{\circ}

(2x+15)+x=180

3x+15=180

3x=165

x=55

Step-by-step explanation:

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2 years ago
An airport parking lot charges a basic fee of $2 plus $1 per half-hour parked. What is the total charge from parking in the lot
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Your answer should be "B" $146
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Aleks04 [339]

Answer:

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Step-by-step explanation:

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3 years ago
The table shows a proportional relationship between the mass, in kilograms
OlgaM077 [116]

Answer:

C) Dog: 40 kg, Medicine: 1.6 mL

D) Dog: 35 kg, Medicine: 1.4 mL

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

Let

x --->  the mass, in kilograms of a dog

y ---> milliliters of flea medicine a veterinarian prescribes

<u><em>Find the value of the constant of proportionality k for the given data</em></u>

k=\frac{y}{x}

For x=50 kg, y=2 mL ----> k=\frac{2}{50}=0.04\ mL/kg

For x=10 kg, y=0.4 mL ----> k=\frac{0.4}{10}=0.04\ mL/kg

For x=5 kg, y=0.2 mL ----> k=\frac{0.2}{5}=0.04\ mL/kg

so

The linear direct equation is equal to

y=0.04x

<u><em>Verify each choice</em></u>

A) Dog: 15 kg, Medicine: 0.9 mL

Divide the milliliters of medicine by the kilograms of the dog and compare the result with the constant of proportionality

\frac{0.9}{15}= 0.06\ mL/kg

so

0.06 \neq 0.04

therefore

These numbers could not be used as the missing values in the table

B) Dog: 25 kg, Medicine: 0.8 mL

Divide the milliliters of medicine by the kilograms of the dog and compare the result with the constant of proportionality

\frac{0.8}{25}= 0.032\ mL/kg

so

0.032 \neq 0.04

therefore

These numbers could not be used as the missing values in the table

C) Dog: 40 kg, Medicine: 1.6 mL

Divide the milliliters of medicine by the kilograms of the dog and compare the result with the constant of proportionality

\frac{1.6}{40}= 0.04\ mL/kg

so

0.04 = 0.04

therefore

These numbers could  be used as the missing values in the table

D) Dog: 35 kg, Medicine: 1.4 mL

Divide the milliliters of medicine by the kilograms of the dog and compare the result with the constant of proportionality

\frac{1.4}{35}= 0.04\ mL/kg

so

0.04 \neq 0.04

therefore

These numbers could be used as the missing values in the table

E) Dog: 20 kg, Medicine: 1.2 mL

Divide the milliliters of medicine by the kilograms of the dog and compare the result with the constant of proportionality

\frac{1.2}{20}= 0.06\ mL/kg

so

0.06 \neq 0.04

therefore

These numbers could not be used as the missing values in the table

5 0
3 years ago
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