Decrease
M720.00 by 25%

1. A, as A is the shared vertex of both triangles. and 2. The original is ABC, and the dilated version is AED. as triangle ABC's half is represented by triangle AED.

The following is a basic formula to determine a dilated figure's scale factor: Scale factor is equal to the difference between the dimensions of the old and new shapes.

A fixed point in the plane around which all points are enlarged or contracted is the center of a dilation.

The center, which may be found within, outside, or on a figure, is the only invariant (constant) point under a dilation (k 1).

To know more about triangle's dilation, visit:

https://brainly.com/question/18270555

#SPJ9

Answer:

The maximum possible daily profit is $11,500.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

\(f(x) = ax^{2} + bx + c\)

It's vertex is the point \((x_{v}, f(x_{v})\)

In which

\(x_{v} = -\frac{b}{2a}\)

If a<0, the vertex is a maximum point, that is, the maximum value happens at \(x_{v}\), and it's value is \(f(x_{v})\)

In this question:

The maximum daily profit happens when \(x_{v}\) cars are sold. This profit is \(P(x_{v})\)

\(P(x) = -35x^{2} + 2100x - 20000\)

So \(a = -35, b = 2100\)

\(x_{v} = -\frac{2100}{2*(-35)} = 30\)

The maximum possible daily profit is:

\(P(30) = -35*30^2 + 2100*30 - 20000 = 11500\)

The maximum possible daily profit is $11,500.

Answer:

a) someone will steal her stuff in any other situation even if a stranger watches it

Derrick and Janis together plant a total of 30 + 90 = 120 strawberry plants on the first day.

To find out how many strawberry plants Derrick and Janis planted on the first day, we need to calculate the sum of the plants they individually planted.

Derrick planted 20% of the 150 strawberry plants:

20% of 150 = (20/100) * 150 = 30 strawberry plants.

Janis planted 60% of the 150 strawberry plants:

60% of 150 = (60/100) * 150 = 90 strawberry plants.

Therefore, on the first day, Derrick and Janis planted a total of 30 + 90 = 120 strawberry plants.

Learn more about algebraic Expression here:

https://brainly.com/question/953809

#SPJ1

Answer:

1000 tiles

Step-by-step explanation:

Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.

Let "x" be the number of years it takes for the two plants to be the same height.The first plant has an initial height of 7 inches and grows at a constant rate of 3 inches each year. So, the two plants will be the same height after 5 years.

Therefore, after "x" years, its height will be:7 + 3xThe second plant also grows at a constant rate and has an initial height of 2 inches. After 3 years, its height is 14 inches.

Therefore, its rate is: Rate = (Final height - Initial height) / TimeRate = (14 - 2) / 3Rate = 12 / 3Rate = 4So, after "x" years, the second plant's height will be:2 + 4x.

To find when the plants are the same height, we can set the expressions for their heights equal to each other:7 + 3x = 2 + 4xSolving for "x":3x - 4x = 2 - 73x = -5x = -5/(-1). Therefore, x = 5, the two plants will be the same height after 5 years.

For more questions on: constant

https://brainly.com/question/27983400

#SPJ8

Ciana should purchase the skirt at the store across town because the total economic cost will be lowest.

Ciana makes $30 per hour at her work, and her purchase decision includes the opportunity cost of lost wages:

Total economic cost:

Local store = $114 + [1/4 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $144

Across town = $86 + [1/2 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $131

Neighboring city = $60 + [1 hour x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $135

Ciana should buy a skirt at the store across town. Because it has the lowest total economic cost ($131).

Opportunity cost is the lost benefit or additional cost of choosing one activity or investment over another. Economic costs include both accounting costs and opportunity costs.  

Read more about Opportunity Cost at: https://brainly.com/question/1549591

#SPJ1

Answer:

16/40 = 40%

Step-by-step explanation:

I divided 16/40 and got 0.4,

To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.

Answer:

a gap analysis is a method of assessing the performance of a business unit to determine whether business requirements order objectives are being met and if not what steps should be taken me them a gap analyse may also be referred to as need analysis need assessment or need gap analysis

Answer:

0.3

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

I hope this is what you where asking for?

Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.

We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.

Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.

Therefore,  y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.

Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.

Simplifying, we have :3x = $90000 + 75 = $90075.

Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.

Therefore, Jane received $30025 and Lydia received $60000.

For more question on amount

https://brainly.com/question/25720319

#SPJ8

Answer:

(4,4)⋅(4,4)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2*3+3*4 x 1/3 power 2

6+12 x 1/9

18 x 1/9

2 x 1 (because 9 and 18 are cutted by each other)

2

2

To evaluate the expression (2b+3a)×(c^2) when a=4, b=3, and c=1/3, we substitute the given values into the expression and perform the indicated arithmetic operations:

(2b + 3a) × (c^2)

= (2(3) + 3(4)) × ((1/3)^2) (substitute a=4, b=3, c=1/3)

= (6 + 12) × (1/9) (evaluate 2(3) + 3(4) and (1/3)^2)

= 18/9

= 2

Therefore, when a=4, b=3, and c=1/3, the expression (2b+3a)×(c^2) equals 2.

Answer: n = 0

Step-by-step explanation:

Given expression

(-3/4) (8n + 12) = 3 (n - 3)

Expand parentheses and apply the distributive property

-6n - 9 = 3n - 9

Add 9 on both sides

-6n - 9 + 9 = 3n - 9 + 9

-6n = 3n

Subtract 3n on both sides

-6n - 3n = 3n - 3n

-9n = 0

Divide -9 on both sides

-9n / -9 = 0 / -9

\(\boxed{n=0}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

0

Step-by-step explanation:

-3/4(8n+12)=3(n-3)

-24/4n-36/4=3n-9

-6n-9=3n-9

-6n-3n-9=-9

-9n-9=-9

-9n=-9+9

-9n=0

n=0/-9

n=0

Please mark me as Brainliest if you're satisfied with the answer.

I'm here to support your learning and make math more understandable for you.Once you're satisfied with the assistance provided, feel free to mark the response as the "Best Answer" or "Brainlist" to show your appreciation.

Of course! I'm here to help you with math..

Please let me know what specific math problem or concept you need assistance with, and I'll do my best to explain it to you and provide a solution.

Whether it's algebra, geometry, calculus, or any other math topic, I'm here to offer explanations, step-by-step solutions, and guidance.

Just describe the problem or concept you're struggling with, and I'll provide a clear and concise response to help you understand and solve it.

For more questions Brainlist:

https://brainly.com/subject/mathematics

#SPJ8

Answer: 3(4-x) + 6x = 4x + 12 - x

Step-by-step explanation:

For the solution to be all real numbers, the left hand has to be identical to the right hand side.

1) \(4(3-x)+7x=12-4x+7x=12+3x\), so wrong.

2) \(4(4-x)+6x=16-4x+6x=16+2x\), so wrong.

3) \(3(4-x)+6x=12-3x+6x=12+3x=4x+12-x\), so correct.

4) Wrong variable, so eliminate immediately.

Step-by-step explanation:

Hope it will help you...

Step-by-step explanation:

to solve this you must first understand the "mean" value of a data set or "distribution".

the mean value is simply the sum of all measured or reported values divided by the number of measurements or reports.

if several data points have the same measured value, then so be it. they are all counting.

and that is what was happening here. the value "2" for example appeared 5 times during the measurements or reports.

"4" occurred 8 times. and so forth.

that is what "frequency" means : how often did that value occur during the observed period of measurements or reports ?

so, how many data points are there ? meaning how many measurements or reports were done in total ?

well, the sum of all frequencies :

(5 + 8 + x + 6 + 3)

to calculate the mean value we could now simply add every value up like 2+2+2+2+2.

or we help ourselves by using multiplication as a shortcut :

(2×5 + 4×8 + 6×x + 8×6 + 10×3)

the mean value is then as explained at the beginning :

(2×5 + 4×8 + 6×x + 8×6 + 10×3) / (5 + 8 + x + 6 + 3) =

= (10 + 32 + 6x + 48 + 30) / (22 + x) =

= (120 + 6x) / (22 + x) = 5.625

120 + 6x = 5.625(22 + x) = 123.75 + 5.625x

-3.75 = -0.375x

3.75 = 0.375x

x = 10

the frequency of 6 was 10 to achieve the mean value of 5.625.

add on : so, the way to solve this as so many similar problems in other areas is to set the principle (including a variable) equal to an actual outcome, and then you solve for that variable.

Answer:

$3.20/gallon

Step-by-step explanation:

to fill up your tank at $3.20/gallon only costs $38.40

Answer:

114

Step-by-step explanation:

Billy has to read more than 10 hours per week, which is equal to 1060=<<1060=600>>600 minutes.

Since it takes him 30 minutes to finish his first book, he has 600-30=<<600-30=570>>570 minutes left.

He needs to divide this time equally amongst the other 5 days, so he must read a minimum of 570/5=<<570/5=114>>114 minutes per day.

Using the weighted mean, the coordinates of the point are given as follows:

B. P(-1.6, -0.2).

The weighted mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.

For this problem, the points are given as follows:

The x-coordinate of the mean point is given as follows:

x = (-3 x 4 + 4 x 1)/5 = -1.6.

The y-coordinate of the mean point is given as follows:

y = (4 x -1 + 3 x 1)/5 = -0.2.

The coordinates of the point are given as follows:

B. P(-1.6, -0.2).

More can be learned about the weighted mean at https://brainly.com/question/18554478

#SPJ1

The  expression represents the total surface area of the prism is

2 (5 * 7) + 2 (4 * 7) +  2  (4 * 5)

The term "TSA" stands for "Total Surface Area" of a prism. The Total Surface Area represents the  sum of the areas of all the faces (including the bases) of the prism.

for the rectangular prism, the Total Surface Area can be calculated using the formula:

TSA = 2lw + 2lh + 2wh

where

l = 5

w = 4

h = 7

plugging in the values gives

TSA = 2 (5 * 7) + 2 (4 * 7) +  2  (4 * 5)

Learn more about total surface area of the prism at

https://brainly.com/question/16421693

#SPJ1

Answer:

946.808 cm²

Step-by-step explanation:

The figure is made up of a cone and a hemisphere.

Volume of a cone is given as;

V_c = ⅓πr²h

Volume of a hemisphere is given as;

V_h = ⅔πr³

In the figure, radius of hemisphere is 6.

Thus; V_h = ⅔π × 6³ = 452.389 cm²

For the cone, height is not given but we can find it from pythagoras theorem.

h = √(6² + (2√(34))²

h = √(36 + (4 × 34))

h = √(172)

Thus;

V_c = ⅓π × 6² × √(172)

V_c = 494.419 cm²

Total area = V_c + V_h = 494.419 + 452.389 = 946.808 cm²

Answer:

\( a_n = 16(\frac{1}{4})^{n - 1} \)

Step-by-step explanation:

Given:

Fifth term of a geometric sequence = \( \frac{1}{16} \)

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = \( ar^{n - 1} \), where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

\( \frac{1}{16} = a*\frac{1}{4}^{5 - 1} \)

\( \frac{1}{16} = a*\frac{1}{4}^{4} \)

\( \frac{1}{16} = a*\frac{1}{256} \)

\( \frac{1}{16} = \frac{a}{256} \)

Cross multiply

\( 1*256 = a*16 \)

Divide both sides by 16

\( \frac{256}{16} = \frac{16a}{16} \)

\( 16 = a \)

\( a = 16 \)

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = \( ar^{n - 1} \)

nth term = \( 16*\frac{1}{4}^{n - 1} \)

\( a_n = 16(\frac{1}{4})^{n - 1} \)

Answer:  (i) This angle is 33.41% of the full rotation.

(ii) 120.38°

Step-by-step explanation:

GIven: Measure of full rotation = 2π radians

Measure of an angle = 2.1 radians.

The percent of this angles of a full rotation = \(\dfrac{2.1}{2\pi}\times100\%\)

\(=\dfrac{2.1\times7}{2\times22}\times100\% \ \ \ \ [\pi =\dfrac{22}{7}]\\\\=33.41\%\)

i.e. This angle is 33.41% of the full rotation.

In degrees,

\(\text{ 2.1 radians}=2.1\times\dfrac{180}{\pi}\\\\=2.1\times\dfrac{180}{3.14}\approx120.38^{\circ}\)

\(2.1\text{ radians}\) is \(33.4\%\) of a full rotation and is equivalent to \(120.2^\circ\)

The relationship between degree and radian measures is

\(1\text{ radian}=\dfrac{180}{\pi}^\circ\)

We want to express \(2.1\text{ radians}\) as a percentage of a full rotation.

\(\dfrac{2.1}{2\pi}\times100\%=\dfrac{210}{2\pi}\%\\\\\approx33.4\%\)

How do we determine the measure of an angle (in degrees) given the percentage? Simply multiply the percentage by the complete/full rotation (that is \(360^\circ\))

\(33.4\%\times360^\circ\\\\=\dfrac{33.4}{100}\times360^\circ\\\\\approx120.2^\circ\)

Learn more about angular measure here https://brainly.com/question/11521023

Answer:C.

Step-by-step explanation:

The product of 4.01 × 10⁻⁵ and 2.56 ×10⁸ is 1.0266×10⁴

A number system is defined as a system of writing to express numbers.

We have to find the product of 4.01 × 10⁻⁵ and 2.56 ×10⁸

Four point zero one times of ten to the power of minus five and two point five six times of ten to the power of eight.

These numbers are in the form of scientific notation.

Scientific notation is a way of writing very large or very small numbers.

So we have to take the product of decimal numbers and we have to add the powers of base 10.

(4.01×2.56)10⁻⁵⁺⁸

In the power -5 and 8 are added to get 3.

10.266×10³

1.0266×10⁴

Hence, the product of 4.01 × 10⁻⁵ and 2.56 ×10⁸ is 1.0266×10⁴

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ6

Answer:

\(0.8 = \frac{24}{x} \\ x = 24 \div 0.8 \\ = 30 \\ 0.5 =30 \div y \\ y = 30 \div 0.5 \\ = 60\)

The point that is a solution to the inequality shown in the graph is:

A. (0,5).

The points that are on the region shaded in blue are solutions to the inequality.

(3,2) and (-3,-6) are on the dashed line, hence they are not solutions. Point (5,0) is to the right of the line, hence it is not a solution, and point (0,5) is a solution, meaning that option A is correct.

More can be learned about inequalities at https://brainly.com/question/25235995

#SPJ1

Where is the question?

Step-by-step explanation:

36