Find: sin B B 15 A 12 *The figure is not drawn to scale what is sin b

Find how many six-digit numbers can be formed from the digits 2, 3, 4, 5, 6 and 7 (with repetitions), if:

Goshia [24]

Answer:

case 1 = 2592

case 2 = 729

case 1 + case 2 = 2916

(this is not a direct adition, because case 1 and case 2 have some shared elements)

Step-by-step explanation:

Case 1)

6 digits numbers that can be divided by 25.

For the first four positions, we can use any of the 6 given numbers.

For the last two positions, we have that the only numbers that can be divided by 25 are numbers that end in 25, 50, 75 or 100.

The only two that we can create with the numbers given are 25 and 75.

So for the fifth position we have 2 options, 2 or 7,

and for the last position we have only one option, 5.

Then the total number of combinations is:

C = 6*6*6*6*2*1 = 2592

case 2)

The even numbers are 2,4 and 6

the odd numbers are 3, 5 and 7.

For the even positions we can only use odd numbers, we have 3 even positions and 3 odd numbers, so the combinations are:

3*3*3

For the odd positions we can only use even numbers, we have 3 even numbers, so the number of combinations is:

3*3*3

we can put those two togheter and get that the total number of combinations is:

C = 3*3*3*3*3*3 = 3^6 = 729

If we want to calculate the combinations togheter, we need to discard the cases where we use 2 in the fourth position and 5 in the sixt position (because those numbers are already counted in case 1) so we have 2 numbers for the fifth position and 2 numbers for the sixt position

Then the number of combinations is

C = 3*3*3*3*2*2 = 324

Case 1 + case 2 = 324 + 2592 = 2916

4 0

2 years ago

22= 18x + 4 please help!!

vredina [299]

Answer:

x=1

Step-by-step explanation:

22-18=4 18-18=/

18x1=18

22=18(1)+4

22-18(1)=4

7 0

2 years ago

Read 2 more answers

Which the slope-intercept form of the equation of each line the slope and y-intercept?

Delvig [45]

SPOTLIGHT DEMYSTIFIED QUIZZES GALLERIES LISTS ON THIS DAY BIOGRAPHIESSEARCH BRITANNICAWhat are you looking for?SearchBROWSE POPULAR TOPICS:Pearl Harbor attack American Revolution Reign of Terror Photosynthesis Las PosadasYou have reached Britannica's public website.For ad-free access to your Britannica School or Library account CLICK HEREChemical compoundWRITTEN BY: Melvyn C. UsselmanRichard O.C. NormanSteven S. ZumdahlCarl R. NollerSee Article HistoryChemical compound, any substance composed of identical moleculesconsisting of atoms of two or more chemical elements.Methane, in which four hydrogen atoms are bound to a single carbon atom, is an example of a basic chemical compound. The structures of chemical compounds are influenced by complex factors, such as bond angles and bond length.Encyclopædia Britannica, Inc.All the matter in the universe is composed of the atoms of more than 100 different chemical elements, which are found both in pure form and combined in chemical compounds. A sample of any given pure element is composed only of the atoms characteristic of that element, and the atoms of each element are unique. For example, the atoms that constitute carbon are different from those that make up iron, which are in turn different from those of gold. Every element is designated by a unique symbol consisting of one, two, or three letters arising from either the current element name or its original (often Latin) name. For example, the symbols for carbon, hydrogen, and oxygen are simply C, H, and O, respectively. The symbol for iron is Fe, from its original Latin name ferrum. The fundamental principle of the science of chemistry is that the atoms of different elements can combine with one another to form chemical compounds. Methane, for example, which is formed from the elements carbon and hydrogen in the ratio four hydrogen atoms for each carbon atom, is known to contain distinct CH4 molecules. The formula of a compound—such as CH4—indicates the types of atoms present, with subscripts representing the relative numbers of atoms (although the numeral 1 is never written).

6 0

3 years ago

I'm stuck on this question! Please help

gayaneshka [121]

See attachment file below.
Answer: 11/3

Hope it helped!

6 0

3 years ago

Loni needs between 3.5 and 7.2 volts of energy, not inclusive, to make an experiment work correctly. Write a compound inequality

Evgesh-ka [11]

Answer:

The compound inequality that shows the voltage amount the necessary range is $3.5$

Step-by-step explanation:

Loni needs between 3.5 and 7.2 volts of energy, not inclusive, to make an experiment work correctly.

That means, the voltage amount should be either greater than 3.5 volts or less than 7.2 volts.

Suppose, the amount of voltage is $V$ volts to make the experiment work correctly.

Now, Voltage amount is greater than 3.5 volts means: $V>3.5$ or $3.5$

and voltage amount is less than 7.2 volts means: $V$

Thus, the compound inequality by combining the above two inequalities will be: $3.5$

5 0

3 years ago