The quarter note is the note with the shortest duration.
True
False

Answer: 1/6

Step-by-step explanation:

1/2 divided by 3/1 turns into 1/2 x 1/3 and when multiplying numerators and denominators with each other, you get 1/6.

Answer and Step-by-step explanation:

Part A: Exponential equation is the "opposite" of logarithmic equation, so:

[tex]y=log_{b}m[/tex]

[tex]b^{y}=m[/tex]

Part B: Using log with base c:

[tex]log_{c}b^{y}=log_{c}m[/tex]

Power property of logarithm states that if the anti-logarithm is elevated at a power, the elevated number can be pulled in front of the logarithm:

[tex]ylog_{c}b=log_{c}m[/tex]

Solving for y:

[tex]y=\frac{log_{c}m}{log_{c}b}[/tex]

Part C: To facilitate the use of calculators, which only have values for the base-10 log and natural log, we use change of base formula, i.e., transform

[tex]y=log_{b}m[/tex]

into

[tex]y=\frac{log_{c}m}{log_{c}b}[/tex]

Part D: [tex](log_{3}z)(log_{z}27)[/tex]

Change of base will be:

[tex]log_{3}z=\frac{log_{10}z}{log_{10}3}[/tex]

[tex]log_{z}27=\frac{log_{10}27}{log_{10}z}[/tex]

Solving:

[tex](log_{3}z)(log_{z}27)[/tex] = [tex](\frac{log_{10}z}{log_{10}3})(\frac{log_{10}27}{log_{10}z} )[/tex]

[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{log_{10}27}{log_{10}3}[/tex]

[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{log_{10}3^{3}}{log_{10}3}[/tex]

[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{3log_{10}3}{log_{10}3}[/tex]

[tex](log_{3}z)(log_{z}27)[/tex] = 3

Part E: [tex]log_{7}300[/tex]

Using change of base:

[tex]log_{7}300=\frac{log300}{log7}[/tex]

[tex]log_{7}300=\frac{2.48}{0.85}[/tex]

[tex]log_{7}300[/tex] ≈ 3

Answer:

112

Step-by-step explanation:

H + 2H = 336

3 = 336/H

112=H

Answer:

(x - 3)(2x + 7) = 2x^2 + x - 21

Step-by-step explanation:

2x^2 + x - 21 = (__ - 3)(__ + 7)

The first term of the trinomial is 2x^2 which can be factored into 2x * 2.

You need to place 2x in one blank and x in the other blank.

Try it both ways. Then multiply the factors out to see which one gives you the correct middle term.

Try 2x - 3.

(2x - 3)(x + 7) = 2x^2 + 14x - 3x - 21 = 2x^2 + 11x - 21

This gives the middle term 11x, but we need the middle term to be x, so now we try x - 3.

(x - 3)(2x + 7) = 2x^2 + 7x - 6x - 21 = 2x^2 + x - 21

This gives the correct middle term, x, so this is the correct factorization.

Answer:

(x - 3)(2x + 7) = 2x^2 + x - 21

Answer:

d,e

Step-by-step explanation:

rational numbers are positive and negative whole numbers.

Answer:

d,e

Step-by-step explanation:

Answer:

(6,1)

Step-by-step explanation:

In order to find the third point, you first need to identify the side length of XZ. X is (1, 1) and Z is (1, 5). In order to find the length of this segment, you just need to subtract 1 from 5 since that is the difference in the y-values and the x-values are the same.

Now, you know that XZ = 4. The problem says that the area of the triangle is 10, and the area of a triangle is a = [tex]\frac{1}{2}[/tex]bh, so you can just insert the values into the equation to solve for the base:

a = [tex]\frac{1}{2}[/tex]bh

= 10 = (1/2) * b * 4

= 10 = 2b

= 5 = b

Because the base is 5 units long, you can just add 5 to the x-value of the point Z, since Y is 5 units to the right of it

Y is (1 + 5, 1)

Y is (6,1)

Answer:

what is the question

Step-by-step explanation:

i don't understand what you're trying to say

Answer:

24

Step-by-step explanation:

Answer:

criteria

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

8 because this is a negitive and the oppisite is postivie so it is 8

Step-by-step explanation:

-8 is negitive on the oppisite side of the number line is positive 8 the answer is 8.

Answer:

The opposite of -8 is 8. The absolute value of -8 is 8.

Step-by-step explanation:

Answer: 14 meters

Step-by-step explanation:

Pythagorean Theorem formula = a^2 + b^2 = c^2

8^2 + 12^2 = c^

64 + 144 = 208

Now find the square root of 208 = 14.422

Answer:

You answer is 24! hope yhis helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

just add up both alternate internal angles as they are both equal

so, the equation is: 2x-10 = 65-x

Answer:

The right equation will be 2x - 10 = 65 - x (you were wrong lol)

Step-by-step explanation:

We have: 2x - 10 = 65 - x

=> 2x - 10 + x = 65

=> 3x = 65 + 10 = 75

=> x = 75/3 = 25

P/S: After some little chats with the others, this might be wrong :(

Answer:

5/18

Step-by-step explanation:

Parentheses next to each other mean to multiply. So, this problem means you need to multiply -4/9 and -5/8. To multiply fractions, you just have to multiply across. To make it easier to understand what I mean...

-4 x -5  = 20 (when you multiply two negatives, it makes a positive)

9 x 8   = 72

20/72 simplifies to 5/18.

Hope this helps!! Have a wonderful day C:

- 0.8

Simple division. Shouldn’t be that hard

Answer:

The claim is rejected

Step-by-step explanation:

Claim: UCF is advertising their bachelor in Economics with the statistic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13).

Null hypothesis: [tex]H_0: \mu = 48500[/tex]

Alternate hypothesis :[tex]H_a : \mu \neq 48500[/tex]

n = 50

Since n is more than 30 .

So we will use Z test

x=43350

Standard deviation = 15000

[tex]Z=\frac{x-\mu}{\frac{s}{\sqrt{n}}}\\Z=\frac{43350-48500}{\frac{15000}{\sqrt{50}}}\\Z=-2.42[/tex]

Refer the z table

p value = 0.00776

[tex]\alpha = 0.01[/tex]

p value < [tex]\alpha[/tex]

So, We are failed to accept null hypothesis

Hence The claim is rejected

Answer:

8

Step-by-step explanation:

Answer:

2.7

Step-by-step explanation:

Answer:

hope it helps...

Step-by-step explanation:

The ratio of a number x and four added to two:

= 4x + 2 = 0

= 4x = -2

= 4x/4 = -2/4

= x = -2/4

= x = -1/2

Answer:

a

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

i have answered questions like this before and I've also answered this question

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/6

The probability of getting 3 is 1/6.

Probability is defined as the possibility of an event to be happened which is the ratio of no. of favorable outcomes and total no. of outcomes.

Probability of an event = P(E) = No. of favorable outcomes/Total No. of outcomes

Here given that the dice are fair and six-sided is rolled.

Total no. of outcomes by rolling the dice = 6 i.e. {1,2,3,4,5,6}

The event is to get the number 3 by rolling the dice.

The favorable outcome is = {3}

Number of favourable outcomes= 1 i.e. {3}

As the dice is the set of equally likely outcomes.

Probability of getting 3 = P(getting 3)= No. of favorable outcomes/Total No. of outcomes= 1/6

Therefore the probability of getting 3 is 1/6.

Learn more about probability

here: https://brainly.com/question/14192140

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Answer: ha no way have the same question

Step-by-step explanation:

Answer:

7, 0.8, 1/2, -0.8, -1/10, -2, -3,

Step-by-step explanation:

accidently put greatest to least just flip it i still want brainliest tho

Answer:

is there a chart to this question?

because I can't tell the answer just by looking at it

Step-by-step explanation:

it's a b c d and f are all the correct answers

Answer:

Step-by-step explanation:

let Emma age be x now

Let Joseph age be y now

If Emma is 10 years younger than Joseph, then x = y-10

six years from now:

Emma will be x+6 years

Joseph will be y+6 years

If Joseph's age 6 years from  now will exceed twice Emma's age 2 years ago by 3 years, then:

y+6 = 2(x+6-2) + 3

y+6 = 2(x+4)+3

y + 6 = 2x+11

y + 6 = 2(y-10)+!1

y + 6 = 2y-20+11

y - 2y = -9-6

-y = -15

y = 15

Since x = y -10

x = 15-10

x = 5

Hence Emma is 5years old now and Joseph is 15years old now

Answer:

c

Step-by-step explanation: