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3 years ago

Determine whether statement (3) follows from statements (1)

Mathematics

1 answer:

larisa [96]3 years ago

4 0

Answer: Law of Detachment

Step-by-step explanation:

1) If you swim (p), you must use earplugs (q)

2) Roy swims (p)

3) Roy must use earbuds (q)

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A pure substance is a liquid homogeneous mixture in which the solute is distributed evenly within the solvent

Licemer1 [7]

That would be False
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3 years ago

Simplify 5 (2 squared) -1^2

Serggg [28]

19 is the answer since 2 to the 2nd power is 4 5×4=20 -1 to the 2nd power is -1
20-1=19

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3 years ago

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A washer and a dryer cost $763 combined. The washer costs $63 more than the dryer. What is the cost of the dryer?

Leni [432]

Answer:

$350

Step-by-step explanation:

w +d = 763

d + 63 = w

-w + d = -63

2d = 700

d = 350

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3 years ago

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3 years ago

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Does anyone know how to graph trigonometric functions for algebra 2?

anastassius [24]

Solution:

Give the following below

$\begin{gathered} amplitude=3 \\ period=\frac{\pi}{2} \\ midline,\text{ }y=-1 \\ Passing\text{ through the point }(0,2) \end{gathered}$

To find the cosine function, we will apply the general formula for cosine function below

$\begin{gathered} f(x)=a\cos(bx-c)+d \\ Where \\ a\text{ is the amplitude} \\ b\text{ represents the speed of the cycle} \\ d\text{ is the vertical shift} \\ \frac{c}{b}\text{ is the phase shift \lparen horizontal shift\rparen} \\ Period=\frac{2\pi}{b} \end{gathered}$

To find the value of b

$\begin{gathered} Period=\frac{\pi}{2} \\ \frac{2\pi}{b}=\frac{\pi}{2} \\ Crossmultiply \\ b\times\pi=2\times2\pi \\ b=\frac{4\pi}{\pi} \\ b=4 \end{gathered}$ $\begin{gathered} a=3 \\ b=4 \\ d=-1 \\ c=0 \end{gathered}$

Substitute the values of the variables into the general formula for cosine function

$\begin{gathered} f(x)=a\cos(bx-c)+d \\ f(x)=3\cos(4x-0)-1 \\ f(x)=3\cos4x-1 \end{gathered}$

Applying a graphing tool,

The graph of one cycle of the function is shown below

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1 year ago