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3 years ago

Select from the drop - down menus to correctly complete each statement

Mathematics

1 answer:

Stels [109]3 years ago

5 0

In a flowchart proof, <u>statements</u> and <u>conclusions</u> are connected with arrows.

In terms of mathematics, a statement is simply any sentence in which it can be verifiably true or false. A statement cannot be a subjective opinion. It must be an objective fact and there must not be any ambiguity involved. A conclusion is also a statement that derives from the first statement made.

As an example, you can have the simple argument "if it rains, then it gets wet outside". So the box on the left would be "it rains" and the box on the right would be "it gets wet outside". An arrow connecting the two shows the logical flow of how the argument is set up.

See the diagram below.

Side note: the box on the left is also considered the antecedent because it comes before the conclusion.

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Describe the invention process. What is involved in inventing, and what must you consider during the invention process?

andrew11 [14]

Answer:

Idea for an Invention may be developed on paper or on a computer, by writing or drawing, by trial and error, by making models, by experimenting, by testing and/or by making the invention in its whole form. Brainstorming also can spark new ideas for an invention.

Step-by-step explanation:

5 0

3 years ago

(-1, 1.25) and (3, 0.032)

makvit [3.9K]

WHAT the heck is this is this free points?

But if you want the exponential equation the answer is y = 0.5(0.4) there is a x on top of the )

8 0

3 years ago

you go to store with money [m]spend 3.40 after paing you have 9.50 left write a agelbraiic exprrision to find out how much [m] y

ankoles [38]

Answer:

X = 9.5 + m

Step-by-step explanation:

m = money spent

x = money you had at the beginning

x = 9.5 + m

Substitute m in for 3.4

X = 9.5 + 3.4

Solve for x

X = 12.9

You started with $12.90

6 0

3 years ago

Lowering powers write in terms of first power of cosine. Cos^6

yaroslaw [1]

The main identity you need is the double angle one for cosine:

$\cos^2x=\dfrac{1+\cos2x}2$

We get

$\cos^6x=(\cos^2x)^3=\left(\dfrac{1+\cos2x}2\right)^3=\dfrac{(1+\cos2x)^3}8$

Expand the numerator to apply the identity again:

$\cos^6x=\dfrac{1+3\cos2x+3\cos^22x+\cos^32x}8$

$\cos^6x=\dfrac{1+3\cos2x+3\left(\frac{1+\cos2(2x)}2\right)+\cos2x\left(\frac{1+\cos2(2x)}2\right)}8$

$\cos^6x=\dfrac{1+3\cos2x+\frac32+\frac32\cos4x+\frac12\cos2x(1+\cos4x)}8$

$\cos^6x=\dfrac5{16}+\dfrac7{16}\cos2x+\dfrac3{16}\cos4x+\dfrac1{16}\cos2x\cos4x$

Finally, make use of the product identity for cosine:

$\cos2x\cos4x=\dfrac{\cos6x+\cos2x}2$

so that ultimately,

$\cos^6x=\dfrac5{16}+\dfrac7{16}\cos2x+\dfrac3{16}\cos4x+\dfrac1{32}\cos2x+\dfrac1{32}\cos6x$

$\cos^6x=\dfrac5{16}+\dfrac{15}{32}\cos2x+\dfrac3{16}\cos4x+\dfrac1{32}\cos6x$

4 0

4 years ago

For the function f given by f(x)=2x-3, find and simplify the difference quotient f (x + h) − f (x) h

Ber [7]

$\text{Given that,}~ f(x) = 2x-3\\\\\text{Now,}\\\\~~\dfrac{f(x+h)-f(x)}{h}\\\\\\=\dfrac{2(x+h) -3 - (2x-3)}{h}\\\\\\=\dfrac{2x+2h-3 -2x +3 }{h}\\\\\\=\dfrac{2h}{h}\\\\\\=2$

7 0

2 years ago