please help! thank u!​

The coordinates of the points after dilation is P'(6,10), Q'(8,0), and R'(2,2).

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.

Given that the scale factor is 2. The coordinates of the points after dilation is,

P(3,5) = P'(6,10)

Q(4,0) = Q'(8,0)

R(1,1) = R'(2,2)

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The quotient of 2.506 × 10^8 and 8.95 × 10^4 expressed in scientific

notation is  2.8 x 10^3.

Quotient is the result of the division process. Scientific notation is a method that is used to compress larger numbers into smaller numbers. In order to write a number in scientific notation, the number is expressed as a power of 10. For example, 1000 in scientific notation is 1 x 10³.

(2.506 x 10^8) ÷ (8.95 x 10^4)

= (2.506 / 8.95) x 10^8 - 4

0.28 x 10^4

2.8 x 10^4 - 1

= 2.8 x 10^3

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Perpendicular drawn through point R on the given line segment PQ.

Constructed figure is attached.

Step of construction :

Constructed figure is attached.

Therefore, perpendicular line drawn through point R on line segment PQ using above steps of construction.

The above question is incomplete , the complete question is :

Draw any line segment PQ take any point R on it. Through R draw a perpendicular to PQ.

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Answer:

y - y1 = m(x - x1)

y - 5 = -3/2 [x - (-6) ]

2 (y - 5) = 2 × -3/2 [x - (-6) ]

2y - 10 = -3 [x + 6]

2y - 10 = -3x - 18

2y- 10 + 3x + 18 = 0

2y + 3x -10 + 18 = 0

2y + 3x + 8 = 0

Step-by-step explanation:

I stated the formula to find the equation of the line . Then replaced the y1 and x1 with -6 and 5 respectively. I multiplied the whole equation by the LCM, which is 2. Group the whole equation to the left and equate it to 0. Then group like terms and solve. The final answer is the equation of the line

Answer:

66/125

Step-by-step explanation:

%52.8 = 52.8/100

= 0.528

0.528/1 x 1000/1000

=528/1000

=66/125

Yes, your birthday is divisible by 3.

To check if a number is divisible by 3, the sum of its digits must be divisible by 3. To determine the sum of the digits of your birthday, we can use the formula:

Birthday = abc

Sum of digits = a + b + c

For example, if your birthday is the 7th of December, 2020:

Birthday = 07122020

Sum of digits = 0 + 7 + 1 + 2 + 2 + 0 + 2 + 0 = 14

Since 14 is divisible by 3, your birthday is divisible by 3.

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It is possible to construct a triangle whose sides are 15 cm 12 cm and 9 cm because the sum of two sides are greater than three sides.

In the given question, we have to check that it is possible to construct a triangle whose sides are 15 cm 12 cm and 9 cm.

The sum of the two sides must always be greater than the third side in order to determine whether or not the given sides may form a triangle.

To check this we firstly add the 15 and 12

15 + 12 > 9

27 > 9

Now we add 15 and 9

15 + 9 > 12

24 > 12

Now we add 12 and 9

12 + 9 > 15

21 > 15

It is possible to construct a triangle whose sides are 15 cm 12 cm and 9 cm because the sum of two sides are greater than three sides.

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Answer: -14

Step-by-step explanation:

1) Distribute

6(x+3) =-84

6*x + 6*3 =-84

6x + 18 = -84

2) Addition/Subtraction Inverse

6x + 18 =-84

-18. -18

3) Divide/Multiply Inverse

6x = -84

-84/6x = -14

Answer:

Step-by-step explanation:

6(x + 3) = -84

6x + 18 = -84

6x = -84 - 18

6x = -102

x = -102 : 6

x = -17

------------------------------------

6(-17 + 3) = -84

-102 + 18 = -84

-102 = -84 - 18

-102 = -102

One can create a triangle with the sides 3 cm, 5 cm and 7 cm.

We can check the possibility of constructing a triangle through side-side-side. It states that the sum of any two sides of triangle should be greater than third side of the triangle. Therefore, let us say 3 cm is side a, 5 cm is side b and 7 cm is side c.

Now, checking the rule.

Side a + side b > side c

3 + 5 > 7

Add the digits on left

8 > 7

Side b + side c > side a

5 + 7 > 8

Add the digits on left

12 > 8

side c + side a > side b

8 + 5 > 7

Add the digits on left

13 > 7

The side-side-side rule of triangle is followed in all the cases, and hence triangle formation is possible.

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This problem is related to the concept of continuous compounding, which is a method of calculating the interest earned on an account over a certain period of time. The formula for calculating the principal amount for a continuously compounded account earning 3.9% for 15 years is as follows:

P = A/ (1 + r)^t

Where P is the principal, A is the balance after 15 years, r is the rate of interest and t is the number of years.

In this problem, P = $4,768,549.11, A = $2,656,586.66, r = 3.9% and t = 15.

Therefore, the principal for the continuously compounded account earning 3.9% for 15 years is $4,768,549.11

Answer:

The difference between 18 and seven times a number:    18 - 7x

Step-by-step explanation:

(ii)  One more than the difference between 18 and seven times a number:

Add 1 to the expression from step (i) and get

1 + (18 - 7x)

(iii)  One more than the difference between 18 and seven times a number is -9:

Set expression from step (ii) equal to -9 and get

1 + (18 - 7x) = -9

You can simplify and solve for x.

A $40 item will ultimately cost $43.2 when an 8% tax is included.

The formula Lousie used is:

c = p(1 + r)

We will solve this problem with the help of percentages.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

We are given that the price of the item is $40

r = 8% .

Therefore,

c = 40(1 + 8%)

c = 40 (1 + 8/100)

c = 40 ((100+8)/100)

c = 40 (108/100)

c = 40 * 1.08 = 43.2

Final cost = $43.2

Therefore the final cost of the $40 item after an 8% tax is applied will be $43.2.  

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Answer:

Mary:228

iter:114

Step-by-step explanation:

Mary's "iter" would have 228 apples (half of what mary has) and would be left with 114 after giving half to her mother.

Mary would be left with 228 apples because 456/2=228.

Answer:

Step-by-step explanation:

f(x)=−3x−4

f

(x)=−3x−4  as an equation.

y=−3x−4     Interchange the variables.

x=−3y−4     Solve for y

y=−x3−4

3  Replace y with f−1(x) to show the final answer.

f−1(x)=−x3−43 Verify if f−1(x)=−x3−43

is the inverse of (x)=−3x−4.

F−1(x)=−x3−43

The expression that represents the perimeter is 12x+20 the correct option is C



Perimeter is the sum of length of the sides used to made the given figure. A regular figure with n-sides has n equal sides in it, and they are the only parts of it(that means, nothing more than those of equal length n sides).

Given;

The length of each side of square= 3x+5

Perimeter of square= 4a

where, a is the length of each side

So,

 perimeter= 4 x (3x+5)

                  = (4 x 3x) + (4 x 5)

                  = 12x +20

Therefore, the perimeter will be12x+20

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The exponent of 4 is called as a Biquadrate or fourth power of Exponent which is written as [tex]x^{4}[/tex] and read as number x raised to power 4 .

What is Exponent ?

The Exponent is defined as a method of expressing large numbers in terms of powers. which means, that exponent refers to how many times the number multiplied by itself.

The exponents of numbers are as follows :

(i) the exponent of 2 is called "Squared"  ,

(ii) the exponent of 3 is called "Cube" ;

(iii) the exponent of 4 is called "Biquadrate" .

Some Examples of "exponent of 4 " are : 2⁴ , 3⁴ .

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For a single serving, 1 4/5 pounds of chicken is needed.

What is the fraction?

A fraction is a way of representing a part of a whole. It consists of two parts: the numerator and the denominator. The numerator represents the number of parts being considered, and the denominator represents the number of parts in the whole.

To find out how many pounds of chicken will be needed for a single serving, we need to divide the amount of chicken needed for 4 servings by the number of servings.

The amount of chicken needed for 4 servings is 4 4/5 pounds. To convert it to a single serving we will divide it by 4.

(4 4/5) / 4 = (4 + 4/5) / 4 = 4/4 + 4/5*4/4 = 1 + 4/5 = 1 4/5 pounds

Hence, for a single serving, 1 4/5 pounds of chicken is needed.

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The inequality for Erik to win is

|x- y| ≤ 10

And for Nita to win

|x- y| ≥ 10

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Inequalities define the connection between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than. The different inequality symbols, characteristics, and methods for resolving linear inequalities in one variable and two variables will all be covered in this article along with examples.

In the problem let the number chosen by Erik and Nita be x and y respectively .

here both x,y  ≤ 20

so the inequality for Erik to win is

|x- y| ≤ 10

And for Nita to win

|x- y| ≥ 10

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The expressions to represent the length and width of Melissa’s vegetable garden in terms of x include the following:

y = 3x + 2.

y = x + 5

In order to write the expressions representing the length and width of Melissa’s vegetable garden, we would assign variables to its dimensions as follows;

Since Melissa wants the length of her rectangular vegetable garden to exceed three (3) times the length of the tomato square patch by 2 feet, the length of the rectangular vegetable garden with respect to its length is given by:

y = 3x + 2.

For the width, an expression for the rectangular vegetable garden's width with respect to the width of the tomato square patch is given by:

y = x + 5

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The point on a line where it crosses the y-axis is known as the y-intercept.

Graphs and charts are useful visual aids because they make information accessible and quick to understand. Therefore, it is not unexpected that print and electronic media frequently use graphs. When data is displayed as a graph rather than a table, it can often be easier to understand because the graph might show a pattern or comparison.

The temperature initially climbs to 5 degrees Celsius.

formula for a line

A line's y-intercept, also known as the point where the x-coordinate equals zero, is where the line intersects the y-axis.

You can see from the graph that the line intersects the y-axis at y = 5. This demonstrates that the temperature initially increases to 5 degrees Celsius.

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Complete question -

621 × 99 = 621 × 100 - 621 x 1

option b is correct.

The observed frequency of the cell is fewer than the expected frequency, according to a typical rule of thumb for interpreting the standardized residual: If the residual is less than -2. If the observed frequency is more than the expected frequency, it is greater than 2.

The meaning of a negative residual?

A negative residual indicates an excessively high anticipated value, and a positive residual indicates an excessively low expected value. A regression line's goal is to reduce the total amount of residuals.

A good residual value is what?

Check out the Car Lease Ratings section of our Lease Kit for a complete list of high-residual vehicle brands and models.

                A car is probably not a good lease deal if the lease-end residual value is less than 50% of the MSRP (for a 36-month lease). 55% to 65% of MSRP would be a nice residual.

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The missing side length is 17 and the side lengths 8, 15, and 17 form a Pythagorean triple.

Side lengths: 8, 15

Missing side length: 17

Yes, the side lengths form a Pythagorean triple. The side lengths 8, 15, and 17 form a Pythagorean triple because 8^2 + 15^2 = 17^2.

To answer this question, we first need to determine if the side lengths 8, 15 and the missing side length form a Pythagorean triple. To do this, we use the Pythagorean theorem which states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side. If this is true, then the side lengths form a Pythagorean triple.

In this case, we can plug in the side lengths 8 and 15 into the Pythagorean theorem. 8^2 + 15^2 = 17^2. Since the equation is true, this means that the side lengths 8, 15 and 17 form a Pythagorean triple. Therefore, the missing side length is 17.

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Given, sides of the triangle are 7 cm, 24 cm, and 25 cm. Squaring the lengths of the sides of the, we will get 49, 576, and 625. Therefore, the above equation satisfies, Pythagoras theorem. Hence, it is right angled triangle.

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Answer:

I think your question is incorrect

The coordinates of point G are (5, 6).

To find the coordinates of point G, we need to find the average of the x-coordinates and the average of the y-coordinates of points A and B.

Therefore, the coordinates of point G are (5, 6).

Key points:

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Keith's unpaid balance is $178.62, finance charge is $2.6795 and new balance is $181.2995

To find Keith's unpaid balance, we need to find the difference between the previous balance and the payments made during the month.

Keith's previous balance was $200.

During the month, he charged $178.62, made a $200 payment.

So, Keith's unpaid balance is:

$200 (previous balance) - $200 (payment) + $178.62 (charges) = $178.62

To find Keith's finance charge, we need to multiply the unpaid balance by the monthly periodic rate (1.5% in this case).

Keith's finance charge is:

$178.62 (unpaid balance) * 0.015 (monthly periodic rate) = $2.6795

To find Keith's new balance, we need to add the finance charge to the unpaid balance.

Keith's new balance is:

$178.62 (unpaid balance) + $2.6795 (finance charge) = $181.2995

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Triangle ABC is congruent to triangle FDE by SAS congruence. Therefore, students did mistake in line 1.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Given that, in triangles ABC and DEF

∠A≅∠F=135°

The coordinates for the vertices are at A(0, 2), B(2, 4) and C(0, 0)

In triangle DEF, we have D(2, 0), E(4, 4) and F(4, 2)

AC= 2 units and DF= 2 units

AC≅DF

Length of segment AB.

A (0, 2) and B (2, 4)

Here, d=√[(x₂-x₁)²+(y₂-y₁)²]

= √[(2-0)²+(4-2)²]

= √8

AB = 2.83

Length of segment FD.

D (2, 0)

F (4, 2)

Here, d=√[(4-2)²+(2-0)²]

FD= = 2.83

AC≅FD

Triangle ABC is congruent to triangle FDE by SAS congruence

Hence, students did mistake in line 1.

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Answer:

5

Step-by-step explanation:

diameter = 4 so radius =2

open up the cylinder so its top & bottom circle's circumference = 2πr =4π

top & bottom circle's area = πr² = 4π each, 8π for both

total surface = 28π

so lateral surface = 28π - 8π = 20π

so 20π = 4π* height

so height is 5