Is the GCF of any two odd numbers is always odd?

Answers

Answer 1

Yes.

This is because an odd number must have all odd factors. If it has even 1 even factor, the result is an even number. For example, 4*9*9*3 would be even because of the 4.

Related Questions

The equation of motion for a weight suspended from a particular spring is given by p(t)=2sint3+5cost3p(t)=2sin⁡t3+5cos⁡t3, where p(t)p(t) is the displacement from the equilibrium position in centimeters, and tt is the time elapsed in seconds. at what time does the weight first reach the equilibrium position?

Answers

Final answer:

To find the time at which the weight first reaches the equilibrium position, set the equation of motion equal to zero and solve for t.

Explanation:

The equation of motion for the weight suspended from the spring is given by p(t) = 2sin(t/3) + 5cos(t/3), where p(t) is the displacement from the equilibrium position in centimeters and t is the time elapsed in seconds. The weight first reaches the equilibrium position when the displacement p(t) equals zero. To find the time at which this occurs, we set the equation equal to zero and solve for t.

2sin(t/3) + 5cos(t/3) = 0

Using trigonometric identities, we can rewrite the equation as:

2sin(t/3) = -5cos(t/3)

Dividing both sides by cos(t/3), we get:

2tan(t/3) = -5

Therefore, to find the time at which the weight first reaches the equilibrium position, we need to solve the equation 2tan(t/3) = -5 for t.

How much time does it take light to travel from the moon to the earth, a distance of 384,000km?

Answers

Excellent question light travels 3x10^8 m/s or 3x10^5 km/s so 384000km/300000km/s = 1.28 sec

Bethany wants to estimate the value of (4.296 x 10^11) x (1.8614 x 10^-14). Which statement about the estimate is true?

A. The value will be greater than 1 because 4.296 x 10^11 is a very large number and multiplication always increases the size of a number.

B. The value will be greater than 1 because 4 x 2 = 8 and 8 is larger than 1.

C. The value will be less than 1 because (4.296 x 10^11) x (1.8614 x 10^-14) will be a negative number. All negative numbers are less than one.

D. The number will be less than 1 because when adding the exponents,
11 + (-14) = 3, and a number in scientific notation with a negative exponent is less than 1.

Answers

D. The number will be less than 1 because when adding the exponents,
11 + (-14) = 3, and a number in scientific notation with a negative exponent is less than 1.

[tex](4.296 * 10^{11}) * (1.8614 * 10^{-14})= \\ \\ 4.296*1.8614*10^{11+(-14)}=\\\\7.99657*10^{-3}= \\ \\ \cfrac{7.99657}{1000}=\\\\0.00799657 [/tex]

A student ID number is a letter of the alphabet followed by 2 digits. How many different IDs are possible if the digits can be repeated?

Answers

Final answer:

There are 2600 different possible student IDs when a student ID consists of one letter followed by two digits that can repeat, calculated as 26 possible letters multiplied by 10 possible digits for each of the two digit positions.

Explanation:

The question asks how many different student IDs are possible if an ID consists of a letter followed by two digits, with the digits being allowed to repeat. To calculate the possible combinations, we multiply the number of options for each component of the ID. There are 26 letters in the alphabet and 10 possible digits (0-9) for each of the two positions that follow the letter, allowing for repetition.

The calculation is therefore 26 letters × 10 digits × 10 digits = 2600 possible combinations. Each component is independent of the others, so this follows the fundamental principle of counting in combinatorics.

If f(x) = x - 5, then match each of the following.

1. f(-1) -3
2. f(0) -6
3. f(1) -5
4. f(2) 0
5. f(5) 3
6. f(8) -4

Answers

f(-1) = -6
f(0) = -5
f(1) = -4
f(2) = -3
f(5) = 0
f(8) = 3

hello :
1. f(-1) -3 = -1-5-3 = -9
2. f(0) -6 = 0-5-6 = -11
3. f(1) -5 = 1-5-5 =-9
4. f(2) 0 ??? +0 or : ×0
5. f(5) 3 ....
6. f(8) -4....
f(-1)-3 = f(1)-5

Math Mean Help Please!

Rounding to the nearest tenth, what is the mean of 100, 75, 40, 90, 80, 100, 92, 88, 80, 84, 100.

Answers

84.5 would be the answer if rounded to the nearest tenth

The correct answer is 84.5. I hope this helps and that i receive the brainliest answer. Have a great day:)

what is the distance between (-5,5) and (2,6) rounding to the nearest hundred

Answers

[tex]\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -5}}\quad ,&{{ 5}})\quad % (c,d) &({{ 2}}\quad ,&{{ 6}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ d=\sqrt{[2-(-5)]^2+[6-5]^2}\implies d=\sqrt{(2+5)^2+(6-5)^2} \\\\\\ d=\sqrt{7^2+1^2}\implies d=\sqrt{50}[/tex]

convert to polar form y=3x^2

Answers

The polar form for the given expression is sin(θ)=3r−3rsin²(θ)

To convert the equation y = 3x² into polar form, we substitute[tex]$ x = r\cos(\theta) $ and $ y = r\sin(\theta) $[/tex], where R is the radius and theta is the angle.

[tex]So, $ y = 3x^2 $ becomes:\[ r\sin(\theta) = 3(r\cos(\theta))^2 \][/tex]

Now, we can simplify this equation:

[tex]\[ r\sin(\theta) = 3r^2\cos^2(\theta) \]\[ r\sin(\theta) = 3r^2\cos^2(\theta) \]\[ \frac{r\sin(\theta)}{r^2} = 3\cos^2(\theta) \]\[ \frac{\sin(\theta)}{r} = 3\cos^2(\theta) \]\[ \frac{\sin(\theta)}{r} = 3(1 - \sin^2(\theta)) \]\[ \frac{\sin(\theta)}{r} = 3 - 3\sin^2(\theta) \]\[ \sin(\theta) = 3r - 3r\sin^2(\theta) \][/tex]

This equation describes the curve in polar coordinates.

Pressure (in pounds per square foot) on a diver at a depth of "d" feet: "P" = 64d + 2112
Solve for "d"

Answers

p=64d+2112

Subtract 2112 on both sides
p-2112=64d

Divide all terms by 64
p/64-33=d

Rearrange
d=p/64-33

You invest 5000 in an account at 5.5% per year simple intrest how much will you have in the account at the beginning of the 6th year

Answers

I=Prt Simple interest is the principle times the rate times the time.

The balance will be the principle plus that interest so:

B=P(1+rt), since P=5000 and the rate is 0.055

B=5000(1+0.055t) so at the beginning of the sixth year you will have earned five years of interest.

B=5000(1+0.055(5))

B=$6375

what is 37% of 600? what are the steps.

Answers

37% /100 = .37
.37 x 600 = 222
37% of 600 is 222

"of" means multiplication
It's asking you to multiply 37% to 600
First, you have to turn 37% into a decimal
To turn a percent into a decimal, you have to divide it by 100, or just simply move the decimal point two places to the left
You get 0.37
Now, multiply 0.37 and 600
0.37*600=222
hope this helps:)

Melvin has game and education apps on his tablet. He noticed that he has 3 game apps for every 2 education apps. Which of the following is another way to write this ratio?

Answers

The ratio of game apps to education apps is 3:2

How do you solve 18-n divded by 2 (which is underneath the 18-n) is less than or equal to 6?

Answers

[tex]\dfrac{18-n}{2}\leq6\\ 19-n\leq12\\ n\geq7[/tex]

Help!
Write 0.78% as a decimal and as a fraction

A) 78; 39/500

B) 0.078; 39/50,000

C) 0.0078; 39/5,000

D) 0.78; 39/50

Answers

d 0.78 and 39/50 \ its logical

The hypergeometric distribution is used when samples are taken from an infinite population with replacement.

Answers

The hypergeometric distribution is used when samples are taken from an infinite population with replacement.
The statement is FALSE

The hypergeometric distribution describes the probability of a certain number of successes in samples taken without replacement from a finite population, not an infinite one as stated in the question.

The hypergeometric distribution is a statistical model used to calculate probabilities in experiments where samples are drawn without replacement from a finite population. Unlike the statement presented in the question, the hypergeometric distribution is not used for infinite populations nor for sampling with replacement; that would be the domain of the binomial distribution.

The compound probability of two events, E and F 1/8 , is ; the probability of E is 1/2 and of F is 1/3 . In two or more complete sentences, explain why E and F are not independent.

Answers

If they are independent then it should hold true that P(A) X P(B) = P(A and B)
This is not the case for F and E in the questions so therefore they are independent.

Answer:

Event E and event F are not independent because:

[tex]P(E\bigcap F)\neq P(E)\times P(F)[/tex]

Step-by-step explanation:

We know that two event A and event B are said to be independent if:

P(A∩B)=P(A)×P(B)

Here we have two events as E and F such that:

[tex]P(E\bigcap F)=\dfrac{1}{8}[/tex]

[tex]P(E)=\dfrac{1}{2}[/tex]

and [tex]P(F)=\dfrac{1}{3}[/tex]

This means that:

[tex]P(E)\times P(F)=\dfrac{1}{2}\times \dfrac{1}{3}\\\\\\i.e.\\\\\\P(E)\times P(F)=\dfrac{1}{6}\neq P(E\bigcap F)[/tex]

Hence, the events E and F are not independent.

What is the future value of a $1,500 investment, earning 10 percent interest
per period, after two periods? (Round your answer to the nearest cent.)

Answers

For 1 period
A=P(1+rt)
A=1500(1+(1*.1))
A=$1650
For 2 periods
A=$1800
The amount of interest earned each time is $150.

The formula of compound interest is
A=p (1+r)^t
A future value?
P present value 1500
R interest rate 0.1
T two periods 2
A=1,500×(1+0.1)^(2)=> A=1,815

When would it be useful to sort data in descending order? why?

Answers

when seeing who has the highest score on a test

500 is 10 times as much as

Answers

The answer is 50 because 50 times 10 is equal to 500.

50 is the answer!!!!!!!!!!

a dime is flipped 3 times. What is the probability that TAILS occurred all 3 times?

Answers

1/2*1/2*1/2=1/8

Therefore, the probability of tails being occurred 3 times is 1/8.

Hope this helps!

For three tosses of the coin all the possible outcomes are:
.
H-H-H
T-H-H
H-T-H
H-H-T
T-H-T
T-T-H
H-T-T
T-T-T

These eight possible outcomes are the sample space.
To find the probability of tossing tails tree times look down the sample space list and find any outcome that has exactly two H's.
The possibilities are only T-T-T.
This means that one of the eight possible outcomes contain exactly three tails. Therefore,
the probability of throwing exactly two heads in three tosses of the coin is 1 out of 8,

Suppose you value a special watch at $100. you purchase it for $75. on your way home from class one day, you lose the watch. the store is still selling the same watch, but the price has risen to $85. assume that losing the watch has not altered how you value it. what should you do?

Answers

I will search all the way back to class and if i couldn't find it i will buy a new one.

coz $10 is not a very big amount.

starting at home, luis traveled uphill to the hardware store for 30 minutes st just 8mph. he then traveled back home along the same path downhill at a speed of 24 mph. what is his average speed for the entire trip from home to the hardware store and back?

Answers

1.
The main formula we use is :

Distance traveled = average Speed * Time,

in short: D = S * T

2.
"luis traveled uphill to the hardware store for 30 minutes at speed 8mph."

we have the speed and the time = 30 min = 1/2 h

so we can find distance:

D=ST=8 (mi/h) * 1/2 (h) = 4 mi

3.
Now we have D, and the speed 24 mph, so we can find the time it takes Luis to travel back home:

D=S*T

T= D/S = 4 (mi) / 24 (mi/h) =1/6 h

4.

The total distance is D+D = 4 +4 = 8 (mi)

the total time is 1/2 +1/6 = 3/6 + 1/6 = 4/6 = 2/3 (h)

So we can find the average speed of the entire trip is:

S=8 / (2/3)= 8* (3/2)=4*3=12 (mph)

Answer : 12 mph

graph -3/4 passing through (1,4)

Answers

The equation is y=-3/4x+b
when x=1 then y=4
so -3/4+b=4
so b=19/4
hence y=-3/4x+19/4.

hello :
an equation is :
y - 4 = (-3/4)(x-1)

A list of elements from which the sample may be drawn is called a

Answers

A list of elements from which the sample may be drawn is called a "population"

Quadrilateral ABCD is similar to quadrilateral EFGH the length of the three longest side in quadrilateral ABCD are 24 feet 16 feet and 12 feet long if the two shortest sides of quadrilateral EFGH feet long and 18 feet long how long is the fourth side on quadrilateral ABCD ?

Answers

check the picture below

solve for "x"

since we know the two smallest sides for EFGH are 9 and 18, 9 is the smallest of all, and 18 is the next small

thus, for the the quadrilateral ABCD, the smallest is "x" and the next small is given, is 12, since that's smaller than 16 or 24

When all sides of a quadrilateral are transformed, the resulting quadrilateral will be similar to the transformed quadrilateral. The fourth side of ABCD is 6 feet

We have the lengths of ABCD in descending order to be:

[tex]Side\ 1 = 24[/tex]

[tex]Side\ 2 = 16[/tex]

[tex]Side\ 3 = 12[/tex]

We have the lengths of EFGH in ascending order to be:

[tex]Side\ 4 = 9[/tex]

[tex]Side\ 3 = 18[/tex]

The missing side of ABCD is the fourth side, and it can be solved using the following equivalent ratios:

Side 4 : Side 3 of ABCD = Side 4: Side 3 of EFGH

Substitute the values of the known sides

[tex]Side\ 4 : 12 = 9 : 18[/tex]

Express as fraction

[tex]\frac{Side\ 4 }{ 12} = \frac{9}{ 18}[/tex]

Multiply both sides by 12

[tex]Side\ 4 = \frac{9}{ 18} \times 12[/tex]

[tex]Side\ 4 = \frac{1}{2} \times 12[/tex]

[tex]Side\ 4 = 6[/tex]

Hence, the fourth side of ABCD is 6 feet

Read more about similar quadrilaterals at:

https://brainly.com/question/85384

A pencil and a ruler cost 2.50 together. The ruler costs $1.00 more than the pencil. How much is the pencil

Answers

p + r = 2.50
r = p + 1

p + p + 1 = 2.50
2p + 1 = 2.50
2p = 2.50 - 1
2p = 1.50
p = 1.50/2
p = 0.75 <=== pencil cost 75 cents

r = p + 1
r = 0.75 + 1
r = 1.75 .....ruler cost 1.75

1.75 should be correct by basics of mathematics

32% of 300 is what number? A.96 B.64 C.32 D.90

Answers

32% = 0.32

300 * 0.32 =96

Answer is A

at the beginning of the summer, Conan had $180 in the bank. Each week he deposits another $64 that he earns mowing lawns. Is his account balance proportional to the number of weeks since he started mowing lawns?

Answers

what's his account balance? give us a bit more information

Answer:

no, because the initial 180 gets in the way

Step-by-step explanation:

what is the greatest whole number that rounds to 54,300

Answers

Well it depends what you're rounding to.

If you're rounding to the nearest hundred, then it would be 54349, because once it becomes 54350, it'll round to 54400.

If you're rounding to the nearest ten, then it would be 54304, because once it becomes 54305, it'll round to 54310.

And then rounding to the nearest one, err, 54300.4.

If the following fraction is reduced, what will be the exponent on the p? -5p^5q^4/ 8p^2q^2

A. 5
B.4
C.3
D.2

Answers

[tex]\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\ a^{-{ n}} \implies \cfrac{1}{a^{ n}} \qquad \qquad \cfrac{1}{a^{ n}}\implies a^{-{ n}} \qquad \qquad a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\ -------------------------------\\\\ \cfrac{-5p^5q^4}{8p^2q^2}\implies \cfrac{-5p^5q^4p^{-2}q^{-2}}{8}\implies \cfrac{-5p^5p^{-2}q^4q^{-2}}{8} \\\\\\ \cfrac{-5p^{5-2}q^{4-2}}{8}\implies \cfrac{-5\boxed{p^3} q^2}{8}[/tex]

Answer: D. 2

Step-by-step explanation:

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