At the book fair, books were on sale for 15% off the regular price. Kiesha bought 3 books that each had a regular price of $11.00. What is the sale price the books?

Answer:

\(\frac{3}{4}(m+n)-\frac{1}{4}(m-n) = \frac{14}{24}\)

Step-by-step explanation:

Given

\(\frac{3}{4}(m+n)-\frac{1}{4}(m-n);m=\frac{1}{2},n=\frac{1}{3}\)

Required

Solve

To do this, we simply substitute values of m and n in the given expression

\(\frac{3}{4}(\frac{1}{2}+\frac{1}{3})-\frac{1}{4}(\frac{1}{2}-\frac{1}{3})\)

Evaluate the brackets

\(\frac{3}{4}(\frac{3 + 2}{6})-\frac{1}{4}(\frac{3-2}{6})\)

\(\frac{3}{4}(\frac{5}{6})-\frac{1}{4}(\frac{1}{6})\)

Open Brackets

\(\frac{15}{24} - \frac{1}{24}\)

Take LCM

\(\frac{15 - 1}{24}\)

\(\frac{14}{24}\)

Hence:

\(\frac{3}{4}(m+n)-\frac{1}{4}(m-n) = \frac{14}{24}\)

Answer:

cos(logx)*(1/x)

Step-by-step explanation:

(sin(logx))'=cos(logx)*logx'=cos(logx)*(1/x)

Answer:

sorry didnt mean to answer

edit: it should be around 45

Answer:

The answer is D AC because that line is opposite of angle B

Answer:

The sum will be close to 1/4

Step-by-step explanation:

1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.

Answer: The sum will be close to 1/4

Step-by-step explanation:

You can start by making the fractions have the same denominator, (8*6) which gets you 48

You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.

12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.

Answer:

300km

\(80km \times 3.75hrs = 300km\)

300km

80km \times 3.75hrs = 300km80km×3.75hrs=300km

Answer:

y=\(\frac{6}{5}x-5\)

Step-by-step explanation:

Notice for this problem, point(0,-5) and (5,1) is being given.

Use the formula (y2-y1)/(x2-x1)

(-5-1)/(0-5)

=6/5

This finds the slope of the function.

To find the y-intercept, it is where the graph first intercept the y-axis.

In this case, it intercept it at y=-5.

Thus, the answer is y=6/5x-5

A graph of this sine wave function (y = sin(2x + π/2) + 1) is shown in the image attached below.

In Mathematics, a sine wave is also referred to as a sinusoidal wave, or just sinusoid and it can be defined as a fundamental waveform that is typically used for the representation of periodic oscillations, in which the amplitude of displacement at each interval is directly proportional to the sine of the displacement's phase angle.

Mathematically, a sine wave is represented or modelled by this mathematical expression:

y = asinbx

Where:

Next, we would solve the given sine wave function by taking the lowest common denominator (LCM) as follows:

y = sin(2x + π/2) + 1

y = sin((2(2x) + π)/2) + 1

y = sin((4x + π)/2) + 1

In conclusion, the amplitude (a) of this sine wave function is equal to 2.

Read more on sine graph here: https://brainly.com/question/12150120

#SPJ1

Answer:

:)

Step-by-step explanation:

9 & 10

go add the snap carmel.bratz

Answer:

1408

Step-by-step explanation:

Answer:

1,408 cm³.

Step-by-step explanation:

To find the volume of a rectangular prism, or in this case, a rectangular box, multiply the length, width, and height.

\(4*8*44=1,408 in^3.\)

Therefore, the volume of the rectangular box is 1,408 cm³.

1 subract 6

2 add 8

3 add 11

4 subract 5

5 add 10

Answer: 1/12

Step-by-step explanation:

Multiply 1/3 by 1/4. Or just multiply 3 by 4.

3 x 4 = 12

Therefore, the answer is 1/12.

Answer:

28

Step-by-step explanation:

Since n = 3, you would times n (3) 4 times then add that to 3, then divide that by three, and there's your answer!

Answer:

-48

Step-by-step explanation:

I think!! :)

Answer:220g

Step-by-step explanation:

1 kg is equivalent to 1000g, therefore 1000g - 780g = 220g

Answer:

C

Step-by-step explanation:

the degree of a polynomial is the value of the largest exponent of the variable within the expression.

3x³ + 9x² - x - 10

the term 3x³ has the largest exponent in the expression

the polynomial is therefore of degree 3

Answer:

Step-by-step explanation:

First write down the decimal number divided by 1 like this:

0.607

1

As we have 3 digits after the decimal point in the numerator, we need to multiply both the numerator and denominator by 103 = 1000, so that there is no decimal point in the numerator

0.607 × 1000

1 × 1000

=

607

1000

Therefore, 0.607 as a fraction is 607/1000

The height of the tower will be given by:

Answer:

539.82 ft

Sue must earn an annual interest rate of 6.9% on the $20,000 in order to reach her goal of saving $50,000 in 10 years.

Amount If you wish to make an additional deposit to this account, you must first provide the amount you wish to deposit. Once the amount has been provided, you will be able to make the deposit. Please note that all deposits must be made in accordance with applicable laws and regulations.

In order to reach her goal of saving $50,000 in 10 years, Sue must earn an annual interest rate of 6.9%. This rate is calculated by using the formula A = P (1 + r)ⁿ, where A is the future amount, P is the present amount, r is the rate of interest, and n is the number of years.

In this case, Sue has a present amount of $20,000 and a future amount of $50,000. Therefore, the formula becomes $50,000 = $20,000 (1 + r)^10. Solving for r, the rate of interest is 6.9%. This means that Sue must earn an annual interest rate of 6.9% on the $20,000 in order to reach her goal of saving $50,000 in 10 years.

To know more about amount click-
http://brainly.com/question/25720319
#SPJ1

Answer:

l = 7x - 9

Step-by-step explanation:

The length of the rectangle is represented by the expression "7x - 9".

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle is given by the formula:

Perimeter = 2 (length + width)

Therefore, we can set up the equation:

20x - 18 = 2 (length + (3x - 1))

Expanding the parentheses and combining like terms, we get:

20x - 18 = 2 × length + 6x - 2

Moving all the terms to one side, we get:

14x - 18 = 2 × length

Dividing both sides by 2, we get:

7x - 9 = length

Thus, the rectangle's length is expressed by the expression "7x - 9".

Learn more about the Perimeter of the rectangle here:

brainly.com/question/15287805

#SPJ2

Answer:

2.3 hours

Step-by-step explanation:

From 3:12 pm to 4:12 pm, one hour passes.

From 4:12 pm to 5:12 pm, another hour passes.

From 5:12 pm to 5:30 pm, there are 18 minutes that pass.

Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.

To convert this to a fraction, we can write:

2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours

So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.

The speed of the cars are 50mph and 60mph

Let's call the speed of the slower car "x". The faster car is traveling at "x + 10 mph".

The total distance both cars travel is 660 miles, and the time it takes for them to meet is 6 hours.

Using the formula for distance = rate x time, we can set up the equation:

x * 6 + (x + 10) * 6 = 660

Expanding and simplifying, we get:

12x + 60 = 660

Subtracting 60 from both sides:

12x = 600

Dividing both sides by 12:

x = 50 mph

So the slower car is traveling at 50 mph and the faster car is traveling at 60 mph.

Read more about speed at

https://brainly.com/question/14335655

#SPJ1

Answer:

option a is the right answer

The decay factor is the decay constant subtracted from 1.

The decay factor is (c) \(0.87\)

We have:

\(T_\frac{1}{2} = 5.26\)

First, we calculate the decay constant \((\lambda)\)

This is calculated using

\(\lambda = \frac{0.693}{T_\frac{1}{2}}\)

So, we have:

\(\lambda = \frac{0.693}{5.26}\)

\(\lambda = 0.13175\)

Next, we calculate the decay factor (b) using:

\(b =1 - \lambda\)

So, we have:

\(b =1 - 0.13175\)

\(b =0.86825\)

Approximate to 2 decimal places

\(b =0.87\)

Hence, the decay factor is (c) \(0.87\)

Read more about decay factors at:

https://brainly.com/question/4098905

Answer:

D. 28

Step-by-step explanation:

We are given the following polynomial function:

\(F(x) = x^2 - 2x - 7\)

Find F(-5).

This is the value of F for which \(x = -5\). So

\(F(-5) = (-5)^2 - 2(-5) - 7 = 25 + 10 - 7 = 28\)

28, which means that the correct answer is given by option D.

Given:

Consider the rule of a sequence is:

\(T_n=\dfrac{n^2-n}{2}\)

To find:

The 6th term generated by the given rule.

Solution:

We have,

\(T_n=\dfrac{n^2-n}{2}\)

Substituting \(n=6\) in the above rule, we get

\(T_6=\dfrac{6^2-6}{2}\)

\(T_6=\dfrac{36-6}{2}\)

\(T_6=\dfrac{30}{2}\)

\(T_6=15\)

Therefore, the 6th term generated by the given rule is 15.

Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore

ΔABC is similar to ΔADE.

The sides of smaller triangle are in proportion with sides of bigger triangle.

Therefore we have the equation:

AC/AE = AB/AD

Substitute the given numbers:

x/x+15 =8/18

18x= 8(x+15)

18x = 8x+120

10x = 120

x = 12

AC=12

The volume of the cylinder generated by rotating the region bounded by y = x³ , y = 8 , x = 0 and x = 9 be, 1608.25 cubic units.

Given, a cylinder generated by rotating the region bounded by the given curves about the specified axis

y = x³ , y = 8 , x = 0 and x = 9

we have to find the volume of the cylinder generated by the given region,

So, using the concept of integration, we get

Volume of the cylinder =  Integrating y from x³ to 8 then integrating x from 0 to 9.

Volume of the cylinder = ∫∫dy dx

Volume of the cylinder = ∫(x³ - 8) dx

Volume of the cylinder = x^4/4 - 8x

Volume of the cylinder = (9)^4/4 - 8(4)

Volume of the cylinder = 1640.25 - 32

Volume of the cylinder = 1608.25

So, the volume of the cylinder be 1608.25 cubic units.

Hence, volume of the cylinder be 1608.25 cubic units.

Learn more about Integration here https://brainly.com/question/28192435

#SPJ4

The domain, range, x-intercept, or y-intercept of g(x) = f(x + 4) + 8. The features of g depend on the corresponding features of f.

Given the function g(x) = f(x + 4) + 8, let's examine its features:

Domain:

The domain of the function g will be the same as the domain of the function f, which depends on the restrictions or constraints of f.  However, it is important to note that shifting the input by 4 units (x + 4) does not inherently change the domain unless there are specific restrictions imposed by f.

Range:

Similar to the domain, the range of the function g will depend on the range of the function f.

x-intercept:

The x-intercept of a function is the point where the graph intersects the x-axis, meaning the y-coordinate is zero (y = 0). To find the x-intercept of g(x), we set g(x) = 0 and solve for x.

0 = f(x + 4) + 8

By subtracting 8 from both sides:

-8 = f(x + 4)

Since the exact value of x that makes f(x + 4) equal to -8. The x-intercept will depend on the behavior of f.

y-intercept:

The y-intercept of a function is the point where the graph intersects the y-axis, meaning the x-coordinate is zero (x = 0). To find the y-intercept of g(x), we substitute x = 0 into the function:

g(0) = f(0 + 4) + 8

g(0) = f(4) + 8

Again, the specific value of f(4) will depend on the behavior of the function f.

for such more question on function

https://brainly.com/question/14723549

#SPJ8

Answer:75 ithink

Step-by-step explanation: