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3 years ago

For all integers n, if n2 is odd, then n is odd. Use a proof by contraposition, as in Lemma 1.1.

1 answer:

5 0

<span>contraP is to flip and negate the prepositions right? if A then B, if -B then -A

Can I have Brainlest please?

</span>

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A factory made about 75,000 robots last year. The actual number of robots made was rounded to the nearest thousand. What is the

Alex777 [14]

The greatest number of robots: 74999
The least number of robots: 74499

6 0

3 years ago

Read 2 more answers

leona has three dollars less than skye. together they have 17 dollars. how much money does skye have?

Fynjy0 [20]

L has "x -3"
S has "x"

x + x - 3 = 17

2x -3 (+3) = 17 (+3)

2x = 20

2x/2 = 20/2

x = 10

Leona has x - 3, or 10 - 3, or 7 dollars
Skye has 10 dollars

hope this helps

5 0

3 years ago

Determine whether each expression can be used to find the length of side AB. Match Yes or No for each

tankabanditka [31]

Answer:

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

Step-by-step explanation:

Given

$BC =24$

$AC = 7$

Required

Select Yes or No for the given options

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

Considering the sine of angle B, we have:

$\sin(B) = \frac{Opposite}{Hypotenuse}$

$\sin(B) = \frac{7}{AB}$

Make AB, the subject

$AB = \frac{7}{\sin(B)}$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

Considering the cosine of angle B, we have:

$\cos(B) = \frac{Adjacent}{Hypotenuse}$

$\cos(B) = \frac{24}{AB}$

Make AB the subject

$AB = \frac{24}{\cos(B)}$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

Considering the cosine of angle B, we have:

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

$\cos(A) = \frac{7}{AB}$

Make AB the subject

$AB = \frac{7}{\cos(A)}$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

<em>This has been shown in (c) above</em>

3 0

3 years ago

Evaluate the function f (x)= x squared -4x+1 at the given values of the independent variable and simplify.

Ivan

<h3>Given</h3>

... f(x) = x² -4x +1

... a) f(-8)

... b) f(x+9)

... c) f(-x)

<h3>Solution</h3>

In each case, put the function argument where x is, then simplify.

a) f(-8) = (-8)² -4(-8) +1 = 64 +32 + 1 = 97

b) f(x+9) = (x+9)² -4(x+9) +1

... = x² +18x +81 -4x -36 +1

... f(x+9) = x² +14x +46

c) f(-x) = (-x)² -4(-x) +1

... f(-x) = x² +4x +1

8 0

3 years ago

12) Find the sum, S7 for the geometric series {1 + 5 + 25 + - + 15625).

zhenek [66]

<u>Understanding:</u>

The sum of a geometric series is, $a+ar+ar^2+ar^3+...$ , with a being the start point and r is the common ratio. We can also use the following formula to make life easier $S_n=a\frac{1-r^n}{1-r}$ , a is your start point, r is the common ratio, and n is the number of terms, which in our case is S7.