The cost of a jacket increased from $55.00 to $62.15. What is the percentage increase of the cost of the jacket?

(Please answer before 5:15 P.M tonight)

taurus [48]

The scale factor of dilation from ABC to $A^{1} B^{1} C^{1}$ is 0.333.

Step-by-step explanation:

Step 1:

First, we plot the coordinates of both triangles.

The coordinates of the triangle $A^{1} B^{1} C^{1}$ are as follows;

$A^{1}$ = (2, 3), $B^{1}$ = (2, 1), and $C^{1}$ = (3, 1).

The coordinates of triangle ABC are;

A = (4, 9), B = (4, 3), and C = (7, 3).

Step 2;

Next, we need to find the distances between at least two coordinates for both triangles.

The distances between vertical lines are found by calculating the difference in y values while for horizontal lines, the distances are found by calculating the difference between the x values.

The distance of $A^{1} B^{1} = 3-1=2$ , the distance of $B^{1} C^{1} = 3-2=1$ .

The distance of AB $=9-3=6,$ the distance of BC $= 7-4=3.$

Step 3;

To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling.

In this case, it is the length of the AB.

So The scale factor for AB = $\frac{2}{6} = \frac{1}{3} = 0.333.$

The scale factor for BC = $\frac{1}{3} = 0.333.$

7 0

3 years ago

If a crate contains 25,500 ounces (oz) of rice, about how many kilograms (kg) does it contain? (1 lb = 16 oz, 1 lb = 0.454 kg)

Flauer [41]

$\frac{25,000 oz}{1} * \frac{1LB}{16oz} * \frac{0.454 KG}{1 LB}$ = 723.5625 kg

Answer: B

8 0

3 years ago

Read 2 more answers

Application of the least squares method results in values of the y-intercept and the slope that minimizes the sum of the squared

alisha [4.7K]

Answer:

The least squares method results in values of the y-intercept and the slope, that minimizes the sum of the squared deviations between the observed (actual) value and the fitted value.

Step-by-step explanation:

The method of least squares works under these assumptions

The best fit for a data collection is a function (sometimes called curve).
This function, is such that allows the minimal sum of difference between each observation and the expected value.
The expected values are calculated using the fitting function.
The difference between the observation, and the expecte value is know as least square error.

7 0

3 years ago

What is the median of the ages in this stem-and-leaf plot? 43 45 46 47

ICE Princess25 [194]

To find a median of an even amount of numbers, add the two middle numbers, and divide by two.

45 + 46 = 91

91/2 = 45.5

45.5 is your median

hope this helps

6 0

3 years ago

Read 2 more answers

Choose whether it's always, sometimes, never

Keith_Richards [23]

Answer: An integer added to an integer is an integer, this statement is always true. A polynomial subtracted from a polynomial is a polynomial, this statement is always true. A polynomial divided by a polynomial is a polynomial, this statement is sometimes true. A polynomial multiplied by a polynomial is a polynomial, this statement is always true.

Explanation:

1)

The closure property of integer states that the addition, subtraction and multiplication is integers is always an integer.

If $a\in Z\text{ and }b\in Z$ , then a+b\in Z.

Therefore, an integer added to an integer is an integer, this statement is always true.

2)

A polynomial is in the form of,

$p(x)=a_nx^n+a_{n-1}x^{x-1}+...+a_1x+a_0$

Where $a_n,a_{n-1},...,a_1,a_0$ are constant coefficient.

When we subtract the two polynomial then the resultant is also a polynomial form.

Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.

3)

If a polynomial divided by a polynomial then it may or may not be a polynomial.

If the degree of numerator polynomial is higher than the degree of denominator polynomial then it may be a polynomial.

For example:

$f(x)=x^2-2x+5x-10 \text{ and } g(x)=x-2$

Then $\frac{f(x)}{g(x)}=x^2+5$ , which a polynomial.

If the degree of numerator polynomial is less than the degree of denominator polynomial then it is a rational function.

For example:

$f(x)=x^2-2x+5x-10 \text{ and } g(x)=x-2$

Then $\frac{g(x)}{f(x)}=\frac{1}{x^2+5}$ , which a not a polynomial.

Therefore, a polynomial divided by a polynomial is a polynomial, this statement is sometimes true.

4)

As we know a polynomial is in the form of,

$p(x)=a_nx^n+a_{n-1}x^{x-1}+...+a_1x+a_0$

Where $a_n,a_{n-1},...,a_1,a_0$ are constant coefficient.

When we multiply the two polynomial, the degree of the resultand function is addition of degree of both polyminals and the resultant is also a polynomial form.

Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.

3 0

3 years ago

Read 2 more answers