MATHEMATICS HIGH SCHOOL

10. need help with this question-percentages and proof

Answers

Answer 1

Answer:

Answer:

the value increased by0.0388

Step-by-step explanation

4% - 3% equals 0.0388 becuase its the diffrence between them is 0.0388

Related Questions

A cup of brewed tea has 54 milligrams less caffeine than a cup of brewed coffee. If a cup of tea has 66 milligrams of caffeine, how much caffeine is in a cup of coffee? Write this problem in an equation.
If the patterns continued indefinitely, what letter would be in the 40th position? A, b, c, a, b, c
The scatter plot represents the purchase prices and selling prices of X-ray machines made by five different manufacturers. Which of the following points show errors of prediction or residuals?Answer Choices : Points (14, 25) and (15, 25) Points (15, 25) and (18, 26) Points (14, 25) and (16, 25) Points (12, 24) and (18, 26)
Where would the square root of 130 be located on the number line
Brian bought beverages for his coworkers. One day he bought 3 lemonades and 4 iced teas for $12.00. The next day he bought 5 lemonades and 2 iced teas for $11.50. Find the cost of 1 lemonade and 1 iced tea, to the nearest cent.

Find the volume of the given prism. round to the nearest tenth if necessary.

Answers

Volume of triangular prism = area of triangle x length.
Here, the triangle is an equilateral triangle with sides 14yds
Area of the triangle = 1/2 x 14 x 14 x sin 60 = 84.87 square yds
volume of the triangular prism = 84.87 x 25 = 2,121.8 cubic yds

A normal window is constructed by adjoining a semicircle to the top of an ordinary rectangular window, (see figure ) The perimeter of the window is 12 feet. what dimensions will produce a window of maximum area? (Round you answers to two decimal places ) what is the width x= what is the length y.?(Question2) write the function in the form f(×) = ×^3- 6×^2- 15×+9, k = -2.
f (×)=?

Answers

Let's find the perimeter of the window.

The bottom side is $x$ . The left and right sides make $2y$ .
The perimeter of a circle is $2\pi r$ , so the perimeter of a semicircle must be $\pi r$ , The radius is $\frac{1}2x$ , so that gives $\frac{1}2\pi x$ for the curve. All of that is equal to 12.

$x+2y+\frac{1}2\pi x=12$

We only want to use one variable to create the area formula, so let's solve for $y$ .

$2y=12-x-\frac{1}2\pi x$

$y=6-\frac{1}2x-\frac{1}4\pi x$

Now that we have a value for $y$ in terms of $x$ , we can find the area in terms of $x$ .

The area of the rectangle is going to be $xy$ , which then becomes

$A_r=x(6-\frac{1}2x-\frac{1}4\pi x$

$A_r=6x-\frac{1}2x^2-\frac{1}4\pi x^2$

The area of the semicircle is going to be $\frac{1}2\pi r^2$ .

Since $r=\frac{1}2x$ , $A_(sc)=\frac{1}2\pi (\frac{1}2x)^2$ .

$A_(sc)=\frac{1}2\pi \frac{1}4x^2$

$A_(sc)=\frac{1}8\pi x^2$

Now let's add the areas of the rectangle and semicircle.

$A=A_r+A_(sc)$

$A=6x-\frac{1}2x^2-\frac{1}4\pi x^2+\frac{1}8\pi x^2$

$A=6x-\frac{1}2x^2-\frac{1}8\pi x^2$

If you wanted to factor out $\frac{1}8$ like you did, this would become

$\boxed{A(x)=\frac{1}8(48x=4x^2-\pi x^2)}$

Now what we want to do is find what $x$ is when $A$ is at its highest point, Once we have the value for $x$ we can also find the value for $y$ , of course.

Let's put our equation in the general form of a quadratic.

$A(x)=(-\frac{1}2-\frac{1}8\pi )x^2+6x$

Now we can use the vertex formula $x=(-b)/(2a)$ .
( $a$ and $b$ refer to $ax^2+bx+c$ .)

$x=\frac{-6}{2(-\frac{1}2-\frac{1}8\pi)}$

$x=\frac{-6}{-\frac{1}4\pi -1}$

$x=(-24)/(-\pi -4)$

$\boxed{x=(24)/(\pi +4)}$

Now let's plug that in for $y=6-\frac{1}2x-\frac{1}4\pi x$ .

Since our final answers are in decimal form and not exact form, we can make our lives a little easier here and just use $x\approx3.36059492$ .

$y\approx6-\frac{1}2(3.36059492)-\frac{1}4\pi(3.36059492)$

$y\approx6-(1.68029746+2.63940507809)$

$\boxed{y\approx1.68029746191}$

Let's take our answers for $x$ and $y$ and round to 2 decimal places.

$\boxed{x\approx 3.36\ ft}$

$\boxed{y\approx 1.68\ ft}$

Subtract.
(3x - 8) - (x2 - 5x - 2)

Answers

Answer:

-x^2 +8x -6

Step-by-step explanation:

Distribute the minus sign and collect terms.

(3x -8) -(x^2 -5x -2)

= 3x -8 -x^2 +5x +2

= -x^2 +8x -6

At Southside Middle School, 20% of the students play an instrument. There are 305 students. How many students play an instrument?/

Answers

Answer:

61 students

Step-by-step explanation:

When finding the percentage of a number, you can simply cross multiply and divide:

we can remove the percentage symbol…

$20*305=\n 6100$

Now 6100 divided by 100 is:

hope this helps!

Sam has $40. He buys a book for $12.99 and a puzzle for $15.49.Which equations can be used to find how much money Sam has left?

Answers

40 = 12.99 + 15.49 + x

Total 40, 12.99 and 15.49 is how much he has spent, and x is the variable to be solved for

If this helped pls mark branliest.

Answer:

40-12.99-15.49=11.52

40-(15.49+12.99)=11.52

Step-by-step explanation:

There are two ways you can complete this you can just keep subtracting or you can add the two number that you need to subtract and then subtract them.

On a hike, 5 children equally shared a box of granola bars. There were g granola bars in the box. Which equation shows the number of granola bars, n, each child received?

Answers

Your answer will be g divided by five equals n

Answer: n = g/5

Step-by-step explanation:

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