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g100num [7]
3 years ago
5

GEOMETRY Can anyone help for brainly, this is one of five questions, a (rotation, reflection, or translation) of 90° (clockwise,

or counterclockwise,) about the origin followed by a (rotation, reflection, or translation) (right, left, up, down) _ Unit (s)

Mathematics
1 answer:
lara31 [8.8K]3 years ago
4 0

Answer:

See below-

Step-by-step explanation:

It depends on if you are transforming O to P or P to O

O to P would be rotate counterclockwise translate down 4

using the point (-3,2) from P and it's corresponding point from O (6,3)

rotate 90 counterclockwise (x,y)--> (-y,x) From point O - (6,3)--> (-3,6)

so after the rotation that point would be at (-3,6) to get the point to (-3, 2) move it down 4. so it is translated down 4

if you are transforming O to P is would be the opposite

rotate 90 clockwise and translate up 4

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The ages of 3 brothers are represented by consecutive integers. If the oldest brothers age is decreased by twice the youngest br
zepelin [54]

Answer:

The youngest brother's age is 21 years.

Step-by-step explanation:

Given:

The ages of 3 brothers are consecutive integers.

If the oldest brothers age is decreased by twice the youngest brother age the result is -19

To find the age of the youngest brother.

Solution:

Let the age of youngest broth be = x  years

The ages are consecutive integers.

So, age of the next older brother will be = (x+1) years

The age of the oldest brother will be = (x+2) years

The oldest brothers age is decreased by twice the youngest brother age.

The above statement can be represented as:

⇒ (x+2)-2x

Simplifying.

⇒ x-2x+2

⇒-x+2

The result for the above expression = -19.

So, we have:

-x+2=-19

Subtracting both sides by 2.

-x+2-2=-19-2

-x=-21

Multiplying both sides by -1.

∴ x=21

Thus, the youngest brother's age is 21 years

6 0
3 years ago
Kristen just deposited $6,500 into a new bank account that pays 4.5% interest the first year and 3% compounded annually each yea
vladimir2022 [97]

This question is about compound interest, but since the interest is such a small number you can use what you know about simple interest to eliminate some answers.

You can immediately eliminate choice A as a clunker, since it is less than the original amount in the account.

Consider what the amount of interest would be if you make the rate much larger than the original rate, say 10%, or 0.1:

$6,500 × 0.1 = $650

If this amount were added to the original amount each year for two years, the total would be:

$6,500 + $650 + $650 = $6,500 + $1,300 = $7,800

This is an over-estimate for the information given, and since choices C and D are even greater than this over-estimate, they can be eliminated. That means choice B is the correct answer.

6 0
3 years ago
Read 2 more answers
There are a total of 15 bicycles and tricycles.There are 37 wheels all together if we count them up. How many tricycles and how
m_a_m_a [10]

Answer: there are eight bicycles and 7 tricycles.

Step-by-step explanation:

Let x represent the number of bicycles that are there.

Let y represent the number of tricycles that are there.

There are a total of 15 bicycles and tricycles. This means that

x + y = 15

A bicycle has 2 wheels and a tricycle has 3 wheels. There are 37 wheels all together if we count them up. This means that

2x + 3y = 37- - - - - - - - - - - - - 1

Substituting x = 15 - y into equation 1, it becomes

2(15 - y) + 3y = 37

30 - 2y + 3y = 37

- 2y + 3y = 37 - 30

y = 7

x = 15 - y = 15 - 7

x = 8

7 0
3 years ago
F(x) = 2x-1<br> What is f(13)?
Delicious77 [7]

Answer:

f(13)=2x-1, x=7

Step-by-step explanation:

7*2=14, 14-1=13

vise versa

f(13)=2(7)-1

4 0
3 years ago
Read 2 more answers
The management of a department store is interested in estimating the difference between the mean credit purchases of customers u
Mkey [24]

Answer:

Step-by-step explanation:

1) Point estimate is the difference between the sample means. Therefore,

A point estimate for the difference between the mean purchases of the users of the two credit cards is = 140 - 125 = $15

2) Margin of error = z√(σ²/n1 + σ2²/n2)

Where

z is the z score from the 95% confidence level. From the normal distribution table, z = 1.96

s1 and s2 are standard deviation for both customers respectively.

Standard deviation = √variance

σ1 = √100 = 10

σ2 = √641 = 25.32

Margin of error = 1.96√(10²/64 + 25.32²/49 = 7.5

At 95% confidence, the margin of error is 7.5

3) The confidence interval for the difference of two population means is expressed as point estimate ± margin of error

Confidence interval = 15 ± 7.5

The upper boundary for the confidence interval is

15 - 7.5 = 7.5

The lower boundary for the confidence interval is

15 + 7.5 = 22.5

A 95% confidence interval estimate for the difference between the average purchases of the customers using the two different credit cards is $7.5 to $22.5

4) Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)

z = (x1 - x2)/(√σ1²/n2 + σ2²/n2)

z = (140 - 125)/√10²/64 + 25.32²/49

z = 1.02

The test statistic for an alpha of .05 is 1.02

4 0
3 years ago
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