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2 years ago

Which composition of transformations maps figure RSTUV to figure R"S"T"U"V"?

Mathematics

2 answers:

Sergeu [11.5K]2 years ago

5 0

Answer:

option: B is correct

A reflection across line n followed by a 270° rotation about point P.

Step-by-step explanation:

Clearly from the figure we could see that the graph is first reflected across the given line n such that we obtain the figure R'S'T'V'U' and then it is rotated 270° across the point P so that we obtain the figure R"S"T"U"V".

Hence, option B is correct.

( A reflection across line n followed by a 270° rotation about point P )

Nostrana [21]2 years ago

4 0

<h2>Answer:</h2>

The correct answer is option B.

A reflection across line n followed by a 270° rotation about point P.

Step-by-step explanation:

In the attached figure, we can see that RSTUV has been reflected down in a straight path across line 'n' to make R'S'T'U'V'.

After this transformation, the figure is again rotated across point P. This rotation is 270 degrees. Now we obtain the figure R"S"T"U"V".

Therefore, option B is correct.

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You are considering buying one of two brands of barbecue grills. Brand F costs $650 and will last for about fifteen year

melamori03 [73]

Answer:

the anser is b

Step-by-step explanation:

5 0

2 years ago

Let A be a 4×4 matrix and suppose that det(A)=3. For each of the following row operations, determine the value of det(B), where

spin [16.1K]

Answer:

a)3

b) 9

c) -3

Step-by-step explanation:

a) If B is obtained by adding a multiple of a row of A to another row of A, $det (B) = det (A).$

Then, $det(B)=3$ .

b) If B is obtained by multiplying a row of A by k, then $det (B) = kdet (A)$ . Then $det(B)=3det(A)=3*3=9$

c) If B is obtained by exchanging two rows (columns) of A, then $det (B) = - det (A)$ . Then $det (B) = - 3$

6 0

1 year ago

Turkey sandwiches cost $2.50 and veggie wraps cost $3.50 at a snack stand. Ben has sold no more than $30 worth of turkey sandwic

grigory [225]

<u>Answer:</u>

The maximum number of turkey sandwiches Ben could have sold is 6.

<u>Step-by-step explanation:</u>

We are given that turkey sandwiches cost $2.50 and veggie wraps cost $3.50 at a snack stand.

Given the information, we are to find the maximum value of turkey sandwiches Ben could have sold.

$2 . 5 0 x + 3 . 5 0 y \leq 3 0$

Number of veggie wraps sold (y) = 4

2.50x + 3.50(4) < 30

2.50x + 14 < 30

2.50x < 16

$x$

The maximum number of turkey sandwiches Ben could have sold is 6.

4 0

2 years ago

Read 2 more answers

A lock has 5 buttons. The lock is opened by pushing two buttons simultaneously and then by pushing one button alone. How many co

Pavel [41]

We first must calculate how many ways 2 oblects can be chosen from 5.

combinations = 5! / 2! * (5-2)!

combinations = 5*4 / 2

combinations = 10

There are 10 ways to choose the 2 buttons and 5 ways to choose the final butto so there are 10 * 5 = 50 different ways.

Source

1728.com/combinat.htm

7 0

1 year ago

How much money do winners go home with from the television quiz show Jeopardy? To determine an answer, a random sample of winner

Liula [17]

Answer:

The 95% confidence interval would be given by (14444.04;33657.30)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Data: $26,650 $6,060 $52,820 $8,490 $13,660$25,840 $49,840 $23,790 $51,480 $18,960$990 $11,450 $41,810 $21,060 $7,860

We can calculate the mean and the deviation from these data with the following formulas:

$\bar X= \frac{\sum_{i=1}^n x_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)^2}{n-1}}$

$\bar X=24050.67$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=17386.13 represent the sample standard deviation

n=15 represent the sample size

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=15-1=14$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,14)".And we see that $t_{\alpha/2}=2.14$

Now we have everything in order to replace into formula (1):

$24050.67-2.14\frac{17386.13}{\sqrt{15}}=14444.04$

$24050.67+2.14\frac{17386.13}{\sqrt{15}}=33657.30$

So on this case the 95% confidence interval would be given by (14444.04;33657.30)

6 0

1 year ago