Which of the following is a true statement about functions?
Look below at image attached

The rigid transformations used for each figure:

In this question we must determine what kind of rigid transformations generates each image. Rigid transformations are transformations applied on geometric loci such that Euclidean distance is conserved. Now we proceed to determine the transformation rule for each case:

Figure 5 - Reflection around the x-axis followed by reflection around the y-axis.

(x, y) → (- x, - y)

Figure 6 - Translation one unit in the +x direction and two units in the -y direction.

(x, y) → (x + 1, y - 2)

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Step-by-step explanation:

2k=3×4

2k=12

2k/2=12/2

k=6

Answer:

k = 6

Step-by-step explanation:

In Ratio Questions , The Denominator takes the same Ratio as the Numerator and vice versa

so for Question , 4 is double 2

Then k must be double of 3

Then k=2*3 = 6

Answer:

The major field of anthroplogy and evolutionary and paleo anthropological perspectives on the origin of humankind

Answer:

$150

Step-by-step explanation:

→ Find 3/5 of 1500

( 1500 ÷ 5 ) × 3 = 900

→ Find 6/20 of 1500

( 1500 ÷ 20 ) × 6 = 450

→ Find the sum of the 2 numbers

900 + 450 = 1350

→ Minus it from the original 1500

1500 - 1350 = $150

Answer:

Step-by-step explanation:

What is thirty six times thirty eight divided by three

36 * 38 : 3 =

1368 : 3 =

456

The value of x from the diagram is 42. 5

Since we have that △TUS∼△CBS

Line BS = 8. 5

Line CS = 7. 5

Line US =  42. 5

TS = x

To find TS, we can see that line US is equivalent in length to line TS

If line US = 42. 5, then line TS = 42. 5
TS = x = 42. 5

Thus, the value of x from the diagram is 42. 5

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The congruency statement which is true among the answer choices is;

According to the task content, the initial transformation is; Triangle GHI is rotated 90Degrees clockwise and then reflected over the y-axis.

On this note, the congruency which are true regarding the transformation are;

This follows from the fact that the transformation.does not involved dilation by means of a scale factor and hence, size remains equal and all angle measures remain the same.

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30 lemon candies he give his friend.

It is given that a boy had 320 candies. There were 2 flavors. 7/16 were orange flavor and the rest were lemon. He gave his friend 30 orange candies and some lemon ones.

320 (7/16)  =   140  were orange

320 - 140  =  180  were lemon

Let x be the number of lemon ones he gave  away

So,

[ 140 - 30 ]  / [ 180 - x ] =  11/15

110  =  (11/15) ( 180 - x )

(15/11) (110)  = 180 - x

150  = 180  - x

x = 180  - 150  =   30

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The volume of the cylinder given the radius and the height is 562.2 cubic units

Volume of a cylinder = πr²h

= 3.14 × 2² × 5

= 3.14 × 4 × 5

= 562.2 cubic units

Therefore, the volume of the cylinder is 562.2 cubic units.

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Answer:62.8

Step-by-step explanation:

just took the test

The manufacturer should advertise 13811 pages for each cartridge if it wants to be correct 99% of the time

z-score is the number of standard deviations from the mean value of the reference population

99%=0.99

The z-value associate with 0.99 is 2.33:

2.33 = (X - 12425) / 595:

X - 12425 = 2.33 * 595

X = (2.33 * 595) + 12425

X = 138111

Therefore, The manufacturer should advertise 13811 pages for each cartridge if it wants to be correct 99% of the time

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We assume that the population standard deviation are known, the samples from each population are independent, the population is normally distributed if we use t test of two samples.

Given T test of significance has been used.

T test is a statistical test that is like z test. Z test is used when n>30 and t test is used when n<30. It is used in hypothesis testing.

We know that there are many test which can be used to test a hypothesis.

The requirements to perform a two sample t procedure are as follows:

1)The two samples have equal variance. Hence the variance should be known.

2) The samples for which the two sample t procedure is performed must be independent.

3) The data are in alignment with the normal distribution probability.

4) The sample are random samples taken from different respective population.

Hence when two sample t procedure is performed we have to assume population standard deviation is known and population is normally distributed.

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Answer:

In fraction form: 77/24

In decimal form: 3.20833

Step-by-step explanation:

That took me a while to solve but that’s the correct answer.

Hope that helps! :)

Answer:

yes

_____________________________

you can look at 3:3 as 3/3 which is 1

and 1:1 = 1/1 which is also 1

the ratio sign also means divide.

_____________________________

hope this helps :)

An unusual event is an occurrence that has a low probability of happening. The cutoff for identifying unusual events not always be​ 0.05, because it is not always a good idea to utilize the same cutoff to spot unexpected occurrences.

An unusual event is an occurrence that has a low probability of happening.

If an event is improbable, its likelihood is zero. If an occurrence is unavoidable, its probability is one.

The probability of an event happening increases as it gets closer to 1. An occurrence that has a probability of 0.375, for instance, is more likely to happen than one with a probability of 0.125.

The less likely an event is to occur, the closer the probability is to 0. An unusual event is what this kind of event falls under. A probability of 5%, or 0.05, is typically regarded as unusual event.

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Answer:

B.

Step-by-step explanation:

an arithmetic sequence is B

Answer:0c

Step-by-step explanation:

Step-by-step explanation:

∠ACB=90∘

[∠ from diameter]

In ΔACB

∠A+∠ACB+∠CBA=180∘

∠CBA=180∘

−(90+30)

∠CBA=60∘ (1)

In △OCB

OC=OB

So, ∠OCB=∠OBC        

[The sides are equal]

∠OCB=60∘

∠OCD=90∘

∠OCB+∠BCD=90°

∠BCD=30∘ (2)

∠CBO=∠BCO+∠CDB    

[external ∠ bisectors]

60=30+∠CDB

∠CDB=30° (3)

from (2) & (3)

BC=BD    

[The ∠.S are equal]

Answer:

Range:  Difference of minimum and maximum values of a data set

Interquartile Range:  Difference of first quartile and third quartile of a data set

Step-by-step explanation:

Answer: what he said

Step-by-step explanation:

Answer:

x = ±6

Step-by-step explanation:

9 : x = x : 4

9/x = x/4

Cross multiply.

x² = 9 × 4

x² = 36

x = ±√36

x = ±6

Answer:

2/3

Step-by-step explanation:

expected over total

14/14+7 = 14/21 = 2/3

[tex]bad \: eggies = 7 \\ good \: eggies = 14 \\ total \: number \: of \: eggs = 21[/tex]

[tex]let \: event \: a = getting \: a \: good \: egg[/tex]

[tex]p(a) = \frac{number \: of \: good \: eggs}{total \: number \: of \: eggs} = \frac{14}{21} = \frac{2}{3} [/tex]

Answer:

$32,000

Step-by-step explanation:

overall cost for 4 years was $88,000. She made $44,000 after 4 years. After all 4 years she had to take out $12,000 to pay. 88,000-44,000=44,000 44,000-12,000=32,000

Answer:

$8,000

Step-by-step explanation:

Tuition per year: $22,000

Work Study Earnings per year: $11,000

Student Loans per year: $12,000 / 4 = $3,000

Annual Academic Scholarship per year:  $x

Per Year Calculations

$22,000 = $11,000 + $3,000 + $x

$x = $22,000 - $11,000 - $3,000

$x = $8,000

See below for the explanation on how to determine the coordinates.

The question is incomplete, and the missing parameters cannot be found.

So, I will give a general explanation on how to determine coordinates.

Assume that the start point of the buoy is

(x, y)

And the length of the buoy is k.

Depending on the position of the bouy on the coordinate plane, the endpoint can be any of the following coordinates (x - h, y), (x + h, y), (x, y + h) and (x, y - h)

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The number of sugar cubes in the box is 180

The given parameters are:

Multiply 61 and 88 by 2 and 3

61 * 2 = 122

61 * 3 = 183

88 * 2 = 176

88 * 3 = 264

The number of sugar cubes cannot be 122 and 264, because they are out of the range

So, we have:

183 and 176

There are 5 layers.

This means that the number of sugar cubes is divisible by 5.

The only number between 176 and 183 that is divisible by 5 is 180

Hence, the number of sugar cubes is 180

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Answer:

y = x + 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = [tex]\frac{2-0}{0-(-2)}[/tex] = [tex]\frac{2}{0+2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

the line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = x + 2 ← equation of line

Answer:

x=33ft

height of tower=33+6=39ft

Answer: 0.200 g

Given: Half life of Sm-146 = t1/2 = 103.5 million years

Time period, t = 1.035 billion years = 1035 million years

The original mass of the sample, [A]₀ = 205 g

To determine:

Amount of sample after t = 1035 million years

Explanation:

The rate of radioactive decay is given as:

Answer:

A: 0.200 g.

Step-by-step explanation:

Completely factored form of Wen's polynomial is (6x² + 7) (x-2).

What is a polynomial?

An algebraic expression called a polynomial includes coefficients and variables. Indeterminates are another name for variables. For a polynomial expression, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents, but division by variable is not possible. Although a polynomial can have multiple number of terms, it can't be infinite.

Factorizing the polynomial

Complete factorization of a polynomial results in products-of-sums

Given polynomial is,

6x³ - 12x² + 7x - 14

This polynomial can be factorized as follows,

6x² (x - 2) + 7(x - 2)

Now, we can factor out the common term (x-2) form each term on either side of the plus operator. thus, we get the following factors,

(6x² + 7) (x-2)

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Answer:

Answer  is A   :)

Step-by-step explanation:

i know its the frist or second one i did the test i am also in flvs :)

The probability of randomly selecting a cream filled

Chocolate is 1/4

Let E be the event of selecting cream filled chocolate.

Number of favourable outcome = 6

Total number of possible outcome = 24

Probability if selecting a cream filled chocolate = 6/24

= 1 / 4

Hence, the probability of randomly selecting a cream filled chocolate is 1/4

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The line which is having same y intercept as the line which passes through points (-4,0) and (0,3) is y=2x+3.

Given Points through which the line passes through are (-4,0) and (0,3)

We have to find the equation whose y intercept is equal to the y intercept of the line whose points given above.

First of all we have to find the y intercept of the line which passes through (-4,0) and (0,3). Equation of line is :

y-y1=(y2-y1)/(x2-x1)*(x-x1)

y-0=(3-0)/(0+4)  *(x+4)

y=3/4(x+4)

y -intercept exists where x=0

put x=0

y=3

So the options are:

By putting the value of x in all options we will find

y=-4

y=-3

y=3

y=4

So the third option is correct.

Hence the line whose y-intercept matched with the given line is y=2x+3.

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Answer:

a

Step-by-step explanation:

Answer:

y= -1/2x - 4 ?

Step-by-step explanation: