4n-(7-6n)


Helppp plz

Answer:

Radius of cylinder = 2 inch (Approx.)

Step-by-step explanation:

Given:

Volume of cylinder = 75.4 in³

Height of cylinder = 6 inches

Find;

Radius of cylinder

Computation:

Volume of cylinder = πr²h

Volume of cylinder = (3.14)r²(6)

75.4 = (18.84)r²

(Radius of cylinder )² = 75.4 / 18.84

(Radius of cylinder )² = 4.002123

(Radius of cylinder) = 2

Radius of cylinder = 2 inch (Approx.)

Intersection of B'∩C = {k, y}

To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.

1. Complement of set B (B'):

The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.

2. Intersection between B' and C:

Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.

The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.

So, the answer to (b) is B'∩C = {k, y}.

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The domains are all real numbers except the the values that makes the denominator zero

x - 1 = 0

x=1

That is; the domain is all real numbers except x=1

Answer:

EEEEEEEEEEEEEEEEEEEEEEEEEEE

Step-by-step explanation:

EEEEEEEEEEEEEEEEEEEEEEEEE

The situation is a linear equation, and the equation that describes the situation is 2n + 1 = 253

Let the smaller number be n.

So, the consecutive numbers are n and n + 1

When the numbers are added, we have:

Sum = n + n + 1

This gives

Sum = 2n + 1

The sum is 253.

So, we have:

2n + 1 = 253

Hence, the equation that describes the situation is 2n + 1 = 253

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Answer:

y= -3

Step-by-step explanation:

Comparing the √17 and 29/7 using <, > or = , we have √17 < 29/7.

Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. The comparison symbols for numbers are "=", which stands for "equal to," "=", which stands for "greater than," and " ", which stands for "less than." Comparing amounts is a technique for figuring out how much to compare units in relation to a different standard or reference unit. A common reference point is necessary for two comparing units to be compared; otherwise, they cannot be compared.

Given,

Comparing the following using <, > or = ,

Numbers:

√17 and 29/7

For √17

Simplifying,

√17 = 4.123

For 29/7

29/7 = 4.14

√17 < 29/7

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9514 1404 393

Answer:

  x = 12

  y = 4√10

  z = 12√10

Step-by-step explanation:

The geometric mean rules apply. Each of the segments labeled with a letter is the geometric mean of the segments it touches on the hypotenuse.

  x = √(4×36) = 12

  y = √(4×(4+36)) = 4√10

  z = √(36×(36+4)) = 12√10

The difference in overall gain between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price is $239.50.

To determine the difference in overall gain or loss between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price, we need to calculate the selling prices of the stocks.

Stock A:

High price = $105.19

Low price = $103.25

Close price = $103.38

Stock B:

High price = $145.18

Low price = $143.28

Close price = $144.05

The investor purchased 50 shares of stock A at $90 per share and 75 shares of stock B at $145 per share.

To calculate the selling prices, we need to multiply the number of shares by the respective selling price.

Selling price of stock A at the high price: 50 shares \(\times\) $105.19 = $5,259.50

Selling price of stock A at the low price: 50 shares \(\times\) $103.25 = $5,162.50

Selling price of stock B at the high price: 75 shares \(\times\) $145.18 = $10,888.50

Selling price of stock B at the low price: 75 shares \(\times\) $143.28 = $10,746.00

Now, let's calculate the difference in overall gain or loss:

Difference in overall gain = Selling price at the high price - Selling price at the low price

= ($5,259.50 + $10,888.50) - ($5,162.50 + $10,746.00)

= $16,148.00 - $15,908.50

= $239.50

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The minimum amount the students are A) $125 will need to save every month in order to pay for the first year of tuition.

What are the minimum students?

Assuming that the student will save the same amount every month for three years to cover the first year of tuition, we need to find the monthly savings needed to accumulate $4,500 in 36 months.

$4,500 ÷ 36 months = $125

Therefore, the student needs to save $125 every month to pay for the first year of tuition in three years.

So, the answer is A) $125.

What is tution?

Tuition refers to the fee charged by educational institutions, such as schools, colleges, and universities, for the instruction and education they provide. It is the cost that students must pay in order to attend and receive an education from these institutions. Tuition fees vary depending on the type of institution, the program of study, and the location. Some institutions may also offer financial aid or scholarships to help students pay for their tuition.

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Complete question is: A student is preparing to enroll in a private college in 3 years. The first year of tuition will cost $4,500, the minimum amount the students are A) $125 will need to save every month in order to pay for the first year of tuition.

Answer:

\(\frac{4}{3}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

\(\frac{x+6}{3} - \frac{x+2}{3}\)

Step 2: Simplify

Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

Given,

Height of the observation deck AB = 520 feet

Angle of depression = 70°

Distance of the Space needle base to house BC = ?

By the figure,

tan70° = AB/BC

BC = tan70°(AB)

BC = 2.7475(520)

BC = 1428.7 feet

Distance of the Space needle base to house to nearest foot = 1429 feet

Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.

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Answer:

(f•g)(x)=16x²+1

(g•f)(x)=4x²+4

Step-by-step explanation:

f(x)=x²+1, g(x)=4x

(f•g)(x)=f(g(x))

=f(4x)

=(4x)²+1

=16x²+1

(g•f)(x)=g(f(x))

=g(x²+1)

=4(x²+1)

= 4x²+4

Answer:

364 miles

Step-by-step explanation:

                               Rate        Time         Distance

Flight #1                 260             x               260x

Flight #2                 140           4-x           140(4-x)

Because each flight was to or from the same airports the distance traveled by flight #1 and flight #2 must be the same. This means that you can set the two calculated distances equal to each other.

260x = 140(4-x)

260x = 560 - 140x

400x = 560

      x = 1.4 hours      This is the amount of time flight 1 spent in the air.

now we can use this and plug it into the distance formula (260x) to find the distance

260(1.4) = 364

so the distance between the two airports is 364 miles

Answer:

D

Step-by-step explanation:

f(x) = 3x - 12

f(2) = 3(2) - 12

= 6 - 12

= -6

Answer:

The answer is -6

Step-by-step explanation:

f(x) = 3x - 12; f(2)

f(2) = 3x - 12

f(2) = 3(2) - 12

f(2) = 6 - 12

f(2) = -6

Thus, The answer is -6

-TheUnknownScientist

Answer:

6+2=8

Step-by-step explanation:

I got this by multiplying 1/3 by 6 which equaled 2. So this means 2 is the equivalent to 1/3 of 6. You could also do whatever the number is in total (6) divided by 3 to find out how much 1/3 would be. Then you just add up the whole number and how much 1/3 of the first number is together to get your answer (8).

There are 50 predicted rolls for 5 in 300 times of rolls.

A probability is a number that reflects the chance or likelihood that a particular event will occur.

Given that, Janet rolls a 6-sided number cube 300 times,

Probability = (Favourable Outcomes)/(Possible Outcomes)

Favourable Outcomes: 5 (1 total)

Possible Outcomes: 1,2,3,4,5,6 (6 total)

Probability of a 5 in any given roll of a die = 1/6

1/6x300 = 50 = 50 predicted roll with 5.

Hence, There are 50 predicted rolls for 5 in 300 times of rolls.

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Answer:

Radius, r = 10 cm

Radius, r = 10 cmWe know, Circumference = 2πr=2×π×10=20π cm

The circumference of the circle is

20π cm or about 62.8 cm.

Here's how I did it:

The formula for a circumference of a circle is 2πr , where r is the radius. We can plug our known value of the radius ( 10 cm) into the formula and solve.

2π 10=20π cm or about 62.8 cm.

Step-by-step explanation:

The radius is half as long as the diameter, so the diameter can be thought of as 2r. Keeping this in mind, you can write down the formula for finding the circumference of a circle given the radius: C = 2πr. In this formula, "r" represents the radius of the circle.

Hope it is helpful....

A one-to-one correspondence between the set of all positive integers and the set of all rational numbers exists.

By definition, any rational number can be expressed as a fraction a/b, where a and b are integers and b is nonzero. Since any positive integer can be expressed as the fraction a/1, each positive integer can be associated with a rational number a/1.

Thus, there is a one-to-one correspondence between the set of all positive integers and the set of all rational numbers. Furthermore, since any rational number a/b can be expressed as the product of a and b, it can also be associated with the product of two positive integers a and b.

Thus, there is also a one-to-one correspondence between the set of all rational numbers and the set of all positive integers.

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Formula for Profit Percentage = (Profit/C.P.) 100Where C.P. denotes the article's cost price, i.e. the price at which the article was originally purchased.

Jane bought a car for £24000

 she sold it for £26000

profit = 2000

profit percentage = 2000/26000 x100 = 7.7%

Here,

Jane bought a car for £24000

 she sold it for £26000

profit = 2000

profit percentage = 2000/26000 x100 = 7.69%

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Answer:

Step-by-step explanation:

Answer:

3.46grams

Step-by-step explanation:

100coins = 346grams

1 coin = xgrams

then we cross multiply

346 = 100x

therefore x= 3.46grams

Answer:

Jessie

Step-by-step explanation:

Jessie answered 4 more times correct that Johnny so she will get a better grade.

Answer:

After grouping the prime factors in triplets, one factor 3 is left without grouping. Thus, 648 is not a perfect cube

The percent of the area that is not covered is 80 percent

In mathematics area is defined as the absolute or total space that an object or shape occupies. It is usually measured using centimeters, cm ² square or the use of meter square m ².

area of tent

= (10 - 0) * (6 - (-3))

= 90

The area of the campsite would be:

(25 - (-5) x (10 - (-5))

= 450

Then the area would be 450 - 90

= 360

the percentage that is not covered by tent = 360 / 450 x 100

= 80 percent

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Both of the intervals given are meaningful intervals in mathematics, but they are different types of intervals.Therefore, the interval (1, -13] is meaningless because it does not contain any real numbers.

An interval is a number or range of values ​​between two endpoints. 

The endpoints can be included or excluded from the interval, and the interval can be open, closed, or half-open depending on whether the endpoints are included or excluded.

The interval (-12, 0] is a closed interval, which includes the endpoint 0, and all real numbers between -12 and 0.

The square bracket indicates that the endpoint 0 is included in the interval.

The interval (1, -13] is an empty interval, which includes no real numbers, since there is no number that is greater than 1 and less than or equal to -13. This interval is meaningless because it does not contain any numbers.

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Given:

\(A=15^\circ, C=120^\circ,b=3\).

To find:

The length of side c.

Solution:

According to the angle sum of property of a triangle, the sum of all interior angles of a triangle is 180 degrees.

\(m\angle A+m\angle B+m\angle C=180^\circ\)

\(15^\circ+m\angle B+120^\circ=180^\circ\)

\(m\angle B+135^\circ=180^\circ\)

\(m\angle B=180^\circ-135^\circ\)

\(m\angle B=45^\circ\)

According to the Law of sines,

\(\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)

Using Law of sines, we get

\(\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)

\(\dfrac{3}{\sin 45^\circ}=\dfrac{c}{\sin 120^\circ}\)

\(\dfrac{3}{\dfrac{1}{\sqrt{2}}}=\dfrac{c}{\dfrac{\sqrt{3}}{2}}\)

\(3\sqrt{2}\times \dfrac{\sqrt{3}}{2}=c\)

On further simplification, we get

\(\dfrac{3\sqrt{6}}{2}=c\)

\(3.674235=c\)

\(c\approx 3.7\)

Therefore, the length of side c is about 3.7 units.

Answer:

★ Divisibility rule for 3 -

If the sum of all the digits divisible by 3 then the number is divisible by 3.

Here, we take an example for better understanding -

Example 1 - 3525

Add up the digits - 3 + 5 + 2 + 5

→ 15

As, 15 is divisible by 3. So, 3525 is a factor of 3.

★ Divisibility rule for 6 -

A number is to be divisible by 6 , if the number is also divisible by 2 and 3.

Example 2 - 132

Add up the digits = 1 + 3 + 2 = 6

As, 6 is divisible by 2 and it's also divisible by 3. Then, 132 is a factor of 6.

★ Divisibility rule for 9 -

If the sum of all the digits is divisible by 9 then the number is divisible by 9. Just like we'd in 3.

Example 3 - 1052

Add up the digits - 10 + 5 + 2 = 17

As, 17 is not divisible by 9. So, 1052 is also not divisible by 9.