The regular price of a color tv is 559.45. during a sale, hill tv is selling the tv for 457.41. Determine the percent decrease in the price of the tv.

Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

Learn more on age word problems here;

https://brainly.com/question/17043336

#SPJ1

Answer:
7)55.6
9) 11.25
11)238.18

Step-by-step explanation:

7) ;et x be the number

so the price is $139 but there is a discount of 40%. how much does she save?

so, $139=100%
      x=100%-40%( why we said like this? coz am trying to show how much she will pay, if there was 40% off then she will pay the 60% only of the price)

$139=100%
x=60%, criss cross

x=$139*60%/100%
x=83.4

then to find how much she saves, the original price - x
$139-83.4
=$55.6

9) let x be the number

the original price was $75 and there were a discount for the table for 15% off.
so,

$75=100% (why we make 100%?, coz it says the original price is 75, got it?)

x=100%-15%
x=85%

so ,  $75=100%
        $x=85%, criss cross

     100%x=85*75
       x=63.75, but the question says how much does she save?|

so the original price minus x
75-63.75 = 11.25

11) let x be the number

she got a rise of 32% per hour. so 100%+32 is 132%
$314.40 for a 40-hour week

$314.4=132%
      x=100%, criss cross

$314.4*100=132x
x=31440/132
x=238.18
and the 238.18 is what she used to earn for a 40-hour week before her rise.

Hope it helped:)

The standard deviation of the response time is 1.53 minutes.

To get standard deviation, we will determine z-scores corresponding to the given percentiles and use them to calculate the standard deviation.

Z-score = z = (x - μ) / σ

For the lower bound of 10 minutes:

z = (10 - 13) / σ

For the upper bound of 16 minutes:

z = (16 - 13) / σ

As normal distribution is symmetric, the z-score corresponding to the lower tail of 2.5% is -1.96, and the z-score corresponding to the upper tail of 2.5% is 1.96.

Using z-scores, we set up  equations:

(10 - 13) / σ = -1.96

(16 - 13) / σ = 1.96

Solving the first equation:

-3 / σ = -1.96

σ = -3 / -1.96

Solving the second equation:

3 / σ = 1.96

σ = 3 / 1.96

Dividing both sides by 1.96:

-3 / 1.96 = σ

1.53 = σ

Full question:

The respone times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes. What is S.D. of the response time.

Read more about standard deviation

brainly.com/question/24298037

#SPJ1

Answer:

s=x(20)

Step-by-step explanation:

s= solution

x= # of weeks

4x2=8

4x3=12

12+8=20

Angle ∠EBD is congruent to angle ∠DBA. Option D is the true statement.

An angle bisector is the line segment that bisects the angle into two equal halves.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,

Ray BE is a bisector of angle CBA,

∠CBE = ∠EBA = 60°

∠EBD = ∠EBA - ∠DBA

∠EBD = 60 - 30 = 30

So,

∠EBD = ∠DBA [DB becomes angle bisector of angle EBA]

Thus, ∠EBD is congruent with ∠DBA is the only correct answer among the option.

Learn more about True Statement at:

https://brainly.com/question/30414310

#SPJ1

Full Question:

Although part of your question is missing, you might be referring to this full question:

Which of the following statements is true if ray BE is a bisector of angle CBA?

A. Ray BD is a bisector of angle CBA.

B. ∠EBD is congruent to ∠CBE.

C. Ray BE is a bisector of angle ABE.

D. ∠EBD is congruent to ∠DBA.

Answer: she bought 6 pencils and has 2 cents left

Step-by-step explanation:

20 divided by 3 = 6.666667

So she can get 6 pencils with the remainder of 2 cents.

Answer:

x=3 y=?

x=6 y=2

3cents × 6 pencils =18 cents leaving 2 cents 2=y

therefore 6

3+3+3+3+3+3+2=20

Answer:

x^2-y^2

Step-by-step explanation:

positive x * positive x = x^2

positive y * negative y = -y^2

Answer:

\(x^{2}\)-\(y^{2}\)

Step-by-step explanation:

(x+y)(x-y)

Use Foil

x(x-y)=\(x^{2}\)-xy

y(x-y)=xy-\(y^{2}\)

Combine

\(x^{2}\)-xy+xy-\(y^{2}\)

-xy and xy cancel each other out so our final answer is

\(x^{2}\)-\(y^{2}\)

Answer:

I'll Help you

Step-by-step explanation:

Answer:

0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.

Step-by-step explanation:

The buckets are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this question:

8 covered buckets, so N = 8.

4 buckets are selected, so n = 4.

2 contain a ball, which means that k = 2.

Find the probability that a contestant wins the game if he/she gets to select 4 of the buckets.

This is P(X = 2). So

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 2) = h(2,8,4,2) = \frac{C_{2,2}*C_{6,2}}{C_{8,2}} = 0.2143\)

0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.

With respect to the angle x, we have

opposite side (47)

adjacent side (22)

Which trig ratio relates "opposite" and "adjacent".

It is tan!

Thus,

we can write

We can take the inverse tan of (47/22) to find x. Shown below:

Answer:

Step-by-step explanation:

The cube has 6 equal faces.

Total surface area:

the answer is 56 it

ttgt

Answer:

7 1/2

Step-by-step explanation:

2 1/2 ÷ 1/3

Change to an improper fraction

(2*1+2)/2 ÷ 1/3

5/2 ÷1/3

Copy dot flip

5/2 * 3/1

15/2

Change to a mixed number

7 1/2

According to the average rate, Heart can beat 140 times in = 2 minutes and Rate of heart beat= 70 beat per minute .

According to the statement

We have to find that the rate of the heart beat.

So, For this purpose, we know that the

Average rate is a measure of how much the function changed per unit, on average, over that interval.

From the given information:

In 10 minutes, a heart can beat 700 times. At this rate,in how many minutes will a heart beat 140 times?

Then

Heart can beat 700 times in = 10 minutes .

Heart can beat 140 times in = 10*140/700 minutes .

Heart can beat 140 times in = 1400/700 minutes .

Heart can beat 140 times in = 2 minutes .

Rate of heart beat : 140/2 beat per minute.

Rate of heart beat= 70 beat per minute .

Therefore, According to the average rate, Heart can beat 140 times in is 2 minutes and Rate of heart beat is 70 beat per minute.

Learn more about Average rate here

https://brainly.com/question/1476828

#SPJ9

Answer: 4

This problem requires basic division. If the restaurant divided 4/5 kg of butter with 1/5 kg on each dish, you would need to compute 4/5 divided by 1/5.

4/5 ÷ 1/5

Using the "KFC" method, or Keep, Change, Flip, you would keep the first number (in this case, 4/5), change the division sign, and flip the fraction to 5/1, or 5. We now have this:

4/5 x 5

To compute this equation, you must multiply the numerators of both of the numbers together. In this case, you would compute (4x5)/5, resulting with 20/5, or 4.

You can check this answer by re-multiplying the numbers together. 1/5 kg of butter per dish, multiplied by the total amount of dishes, 4, you would result in the original 4/5 kg of butter.

Hope this helps!

Try it yourself, I'll explain the concept

In a function, each x-value matches to exactly one y-value

If it matches to more than one y-value, it is not considered a function

Now look at the x and y values in each table to determine if it is a function or not

:)

Answer:

A)

Function A: Exponential

Function B: Linear

Function C: Exponential

Function D: Exponential

B) Function A

Step-by-step explanation:

Function A: This is exponential because- (1, 3)(2,9)(3,27)

It is not going up by the same number each time. However, it is multiplying by 3 each time which means it is exponential.

Function B: This is linear because- (1, 64)(1, 80)(1, 96)

It is going up by 16 each time, (a constant number) which means it is linear.

Function C: This is exponential because- there is a curve, linear is always a straight line. But, this has a curve which means it is exponential.

Function D: This is exponential because- It is increasing by a percentage and not a constant number. It is increasing by 1% which means it is exponential.

The function that has the greatest growth factor is Function A because, Function A multiplies by 3 each time. Function B is linear, exponential functions always pass linear functions despite how "steep" they are. Eventually, the exponential function will surpass it. Function C is also exponential but is not as "steep" as Function A. Function A multiplies by 3 each time but Function C increases less. Function D is also exponential, and for the same reasons as Function C, Function A has the greatest growth factor.

Step-by-step explanation:

8x13 kkkxkgkgxkgxkkkxkkk

The rate of change is      \(\frac{1}{2\sqrt{x} }\)

The link between one quantity changing in respect to another is given by the rate of change formula.can be used to calculate the rate of change from y coordinates to x coordinates (x2 - x1 ). The rate of change m for a linear function is written as y=mx+b in the slope-intercept form for a line, whereas the rate of change for a function is written as (f(b)-f(a))/b-a. It is said that the rate at which one quantity changes in relation to another is known as the rate of change function. The amount of change in one item is simply divided by the comparable amount of change in another when calculating the rate of change.

Given that : The function f (x)=\(\sqrt{x}\)

f (x)=\(\sqrt{x}\)

\(f^{'} x = \frac{1}{2\sqrt{x} }\)

The rate of change is      \(\frac{1}{2\sqrt{x} }\)

To learn more about rate of change visit :

brainly.com/question/3605446

#SPJ13

Answer:

\(f(x)=-\frac{15}{13}x^3+\frac{30}{13} x^2-\frac{60}{13} x+\frac{120}{13}\)

Step-by-step explanation:

\(f(x)=a(x-2)(x+2i)(x-2i)\)

\(f(x)=a(x-2)(x^2+4)\)

\(-15=a(3-2)(3^2+4)\)

\(-15=13a\)

\(-\frac{15}{13}=a\)

\(f(x)=-\frac{15}{13}(x-2)(x^2+4)\)

\(f(x)=-\frac{15}{13}(x^3-2x^2+4x-8)\)

\(f(x)=-\frac{15}{13}x^3+\frac{30}{13} x^2-\frac{60}{13} x+\frac{120}{13}\)

Answer:

85 75/145 calories

so about 85.5

Step-by-step explanation:

To get the answer, we are splitting the sugar into cookies, where each cookie will have the same amount of sugar. This means we divide.

The answer is 85 75/145 calories

so about 85.5

Hope this helps :-)

The length of line having mid point B ⇒  7x - 2.

Given that,

B is the mid point of AC

And also given that

length of segment AB = 2x+5

And length of segment BC = 5x - 7

A straight path established by linking a group of points in a plane is known as a line. It is a one-dimensional form with only a length and no width or height. A line can extend indefinitely in both ends in opposite directions. To indicate a line, we can use upper case characters.

Now since B is the mid point of AC,

So, The line AC is sum of the line segment AB and line segment BC.

Therefore,

AC = AB+BC

     = (2x+5)+(5x - 7)

     = 7x - 2

Hence,

The length of AC is 7x - 2

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ1

The volume of the rectangular prism is 4.84 cm cube.

A rectangular prism is filled exactly with 605 cubes. Each cube has edge

length 1 / 5 cm. Therefore, the volume of the rectangular prism can be

calculated as follows:

volume of each cube = l³

volume of each cube = (1 / 5)³

volume of each cube = 1 / 125 cm³

Therefore,

volume of the rectangular prism = 605 × 1 / 125

volume of the rectangular prism = 605 / 125

volume of the rectangular prism = 4.84 cm³

learn more on rectangular prism here: https://brainly.com/question/29175503

#SPJ9

The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;

\(y = 10^{16}\)

y = 10,000,000,000,000,000.

y = x² - 17x + 182

y = 16² - 17(16) + 182

y = 256 - 272 + 182

y = 166.

\(y = 1.17^x\\\\y = 1.17^{16}\)

y = 12.330304108137675851908392069373.

Read more on function here: brainly.com/question/10687170

#SPJ1

Answer:

Here are the angles in each quadrant with a common reference angle of 165°:

First quadrant: angle is 15° (subtract 165° from 180°)

Second quadrant: angle is 195° (subtract 165° from 180° and add the result to 180°)

Third quadrant: angle is 195° (subtract 165° from 180° and then subtract the result from 180°)

Fourth quadrant: angle is 195° (subtract 165° from 360°)

Answer:

Step-by-step explanation:

A table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the wall is 6 feet. What is the area of the table after it is cut in half ? Give your answer in terms of pi.

Given:

Find:

Explanation:

Find the area of the semicircle table:

The expansion will be 64d^6 + 1152d^5 + 9720d^4 + 43740d^3 + 98415d^2 + 145458d + 729

We can expand (2d+3)^6 using the binomial theorem, which states that:

(a + b)^n = nC0 * a^n * b^0 + nC1 * a^(n-1) * b^1 + nC2 * a^(n-2) * b^2 + ... + nCn-1 * a^1 * b^(n-1) + nCn * a^0 * b^n

where nCk is the binomial coefficient, given by:

nCk = n! / (k! * (n-k)!)

Expanding (2d+3)^6 using this formula, we get:

(2d+3)^6 = 6C0 * (2d)^6 * 3^0 + 6C1 * (2d)^5 * 3^1 + 6C2 * (2d)^4 * 3^2 + 6C3 * (2d)^3 * 3^3 + 6C4 * (2d)^2 * 3^4 + 6C5 * (2d)^1 * 3^5 + 6C6 * (2d)^0 * 3^6

Simplifying each term using the binomial coefficient formula, we get:

(2d+3)^6 = 1 * 64d^6 * 1 + 6 * 32d^5 * 3 + 15 * 16d^4 * 9 + 20 * 8d^3 * 27 + 15 * 4d^2 * 81 + 6 * 2d * 243 + 1 * 1 * 729

Simplifying each term further, we get:

(2d+3)^6 = 64d^6 + 1152d^5 + 9720d^4 + 43740d^3 + 98415d^2 + 145458d + 729

Learn more about theorem on;

https://brainly.com/question/343682

#SPJ1