which statement about the transformations is true

Answer:

2260(0.70)^5=3.80

Step-by-step explanation:

Answer:

the slope of A'B' = 3

A'B' passes through point O

Step-by-step explanation:

A dilation with scale factor 3 gives the effect of stretching the line AB three times longer. As dilation does not change the direction of the line, the slope will stay the same. If point O lies on AB and is the center of dilation, then the point O must also lie on A'B'

The required black space in the statement "The slope of AB is 3. The slope of A1 B1 is___. A1 B1 _____ through point O". is filled by 3 and passes.

Given that,
To Select the correct answer from each drop-down menu. AB is dilated by a scale factor of 3 to form A 1 B1. Point O, which lies on AB, is the center of dilation. The slope of AB is 3. The slope of A1 B1 is___. A1 B1 _____ through point O.

The scale factor is defined as the ratio of modified change in length to the original length.

Here, is o is the center of the line AB and slope of line AB is 3 than the line dilated with scale factor 3 A1B1 has also a scale factor of 3 because Position of dilation is center 0 thus dilation did not get any orientation.
And the center of dilation is O so line A1B1 passes through O.

Thus, the required black space in the statement "The slope of AB is 3. The slope of A1 B1 is___. A1 B1 _____ through point O". is filled by 3 and passes.

Learn more about line Scale factors here:

https://brainly.com/question/22312172

#SPJ2

Answer:

6.09 * 10 ^-3

Step-by-step explanation:

We want one non zero digit to the left of the decimal

Move the decimal 3 places to the right

6.09

The exponent is 3 and it is negative since we move to the right

6.09 * 10 ^-3

Answer:

6.09(10⁻³)

Step-by-step explanation:

Step 1: Put number into proper scientific decimal form

6.09

Step 2: Figure out how many decimals places it moves

Since it moves to the left 3, our exponent would be -3

Answer:

[tex]\huge\boxed{a=\dfrac{16}{3}=5\dfrac{1}{3}}[/tex]

Step-by-step explanation:

[tex]\triangle ZYW\sim\triangle WYX\ (AAA)\\\\\text{Therefore corresponding sides are in proportion}\\\\\dfrac{YX}{YW}=\dfrac{YW}{ZY}\\\\\text{substitute}\\\\YX=a;\ YW=4;\ ZY=3\\\\\dfrac{a}{4}=\dfrac{4}{3}\qquad\text{multiply both sides by 4}\\\\4\cdot\dfrac{a}{4}=4\cdot\dfrac{4}{3}\qquad\text{cancel 4}\\\\a=\dfrac{16}{3}[/tex]

Answer:

Anxiety score close to 54.58.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu = 48, \sigma = 4[/tex]

Approximately what anxiety test score would put someone in the top 5 percent?

We have to find the 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 48}{4}[/tex]

[tex]X - 48 = 1.645*4[/tex]

[tex]X = 54.58[/tex]

Anxiety score close to 54.58.

Let x=small rugs and y=medium rugs. It takes 8 hours to dye a small rug, so you would write 8x. It takes 12 hours to dye a small rug, so you would write 12y. Those two would need to be added together. The dyer needs to dye at least 22 rugs in 240 hours, so you would need a less than or = to sign.

I'm not sure which choice has the line beneath, indicating that the sign is a "less than or equal to" sign, but the answer is gonna be either C or D.

8x+12y≤240, or 12y+8x≤240

Answer:

Step-by-step explanation:

hello there i will give you an explanation of how this works so let go to it

so the question that you are asking me is to create a system that represent

this situation so what we can do is that let just imagine that x equals to small rugs and z equals medium rugs. so it takes 8 hours to dye a small rug so this suggest that you would right it as 8x.  so its take 12 hours to dye a medium rug so we do the same thing as we do to the small rug so you already know that is would be 12z ok so those needed to be added together.

the dyer needs to dye at least 22 rugs in 240 hrs so you would need a less than or a equal to sign.

so with all of this we can tell what the answer already is so i will give a a minute to get the answer time is up here is the answer down below :

8x+12y≤240, or 12y+8x≤240

Answer:

S is the volume of the small cup, M the volume of the medium cup and L the volume of the large cup:

2*S + 2*M + 4*L = 160oz

2*S + 6*M + 1*L = 160oz

5*S + 1*M + 3*L = 160oz.

First, we must isolate one of the variables, for this we can use the first two equations and get:

2*S + 2*M + 4*L = 160oz = 2*S + 6*M + 1*L

We can cancel 2*S in both sides:

2*M + 4*L = 6*M + 1*L

now each side must have only one variable:

4*L - 1*L = 6*M - 2*M

3*L = 4*M

L = (4/3)*M.

now we can replace it in the equations and get :

2*S + 2*M + 4*(4/3)*M = 160oz

2*S + 6*M + (4/3)*M = 160oz

5*S + 1*M + 4M = 160oz.

simplifing them we have:

2*S + (22/3)*M +  = 160oz

2*S + (22/3)*M  = 160oz

5*S + 5*M  = 160oz.

(the first and second equation are equal because we used those to get the relation of M and L, so we now have only two equations):

2*S + (22/3)*M  = 160oz

5*S + 5*M  = 160oz.

We can take the second equation and simplify it:

S + M = 160oz/5 = 32oz

S = 32oz - M

Now we can replace it in the first equation and solve it for M

2*S + (22/3)*M = 2*(32oz - M) + (22/3)*M = 160oz

62oz - 2*M + (22/3)*M = 160oz

-(6/3)*M + (22/3)*M = 98oz

(18/3)*M = 98oz

M = (3/18)*98oz = 16.33 oz

Then:

L = (4/3)*M =(4/3)*16.33oz = 21.78 oz

and:

S = 32oz - M = 32oz - 16.33oz = 15.67oz

Answer:

Using multiplicative and additional property .

= 17x +6y

Step-by-step explanation:

3(4x + 2y) + 5x.

Multiplicative property.

Using 3 to multiply what's inside the bracket.

= 3*4x + 3*2y +5x

= 12x + 6y +5x

Addition property.

Collection of all like terms together.

All values with same alphabets are going to be added together

= 12x +5x +6y

= 17x +6y

To prove if 3(4x + 2y) + 5x.= 17x +6y

Let's assume both x and y to be 1

We have

3(4(1) + 2(1)) + 5(1) = 17(1) + 6(1)

3(6)+5=17 +6

23= 23.

Proved.

Answer:

16 animals

Step-by-step explanation:

It's a step by step approach.

Every monkey had one tortoise in hand.

There was 3 monkeys.

So 3 monkeys had one tortoise making it 3 tortoise.

Since the elephants are all going towards the same River it's definitely that the monkey they all saw is the same 3 set of monkeys.

Then a rabbit .

Total animal = 1 rabbit + 3 monkeys + 3 tortoise + 9 elephants

Total animal= 16 animals

Answer:

Question 1

Step-by-step explanation:

1) Let the outside temperature = x ° F

Now, the inside temperature = (x + 3)° F

Outside temperature  has increased by 3,

So, outside temperature  at lunch time = (x + 3)°F

So, at lunch time the outside & inside temperature are same.

So, the difference in temperature at lunch time is 0

Answer:

31,5

Step-by-step explanation:

=7*3+(7*3)/2

Answer:

length x width = area

7 x 3 = 21 so the area of the rectangle is 21

divide 7 by 2 so we can find the length of each triangle. 7 / 2 = 3.5

length (or base) x height / 2 = area of triangle

3.5 x 3 = 10.5

You do not have to divide by two because there are two triangles

10.5 + 21 = 31.5 so the area is 31.5

Hope this helps

Step-by-step explanation:

Answer:   y=1/8*x+2

Step-by-step explanation:

The equation of any tangent line is y=a*x+b  (1)

To the equation of the tangent line we have to find the coefficients a and b   and the to substitute them to equation (1).

As we know  a=y'(x0) ( where x0=16)

So y'(x)= (√ (x) )' = 1/(2*√x)

a=y'(x0)= 1/(2*√16)=1/(2*4)=1/8

So lets substitute a in equation (1):

y=1/8 *x+b

Now we have to find b

We know that the point (16, 4) belongs to the tangent line.

That means

4=1/8*16+b => 4=2+b => b=2

SO the equation of the tangent line is y=1/8*x+2

Answer:

C. the change in the amount of wheat harvested.

Step-by-step explanation:

Already, the question states "...how much wheat...", which implies that you must find a amount of wheat.

Also, another implication is "...12,000 more..." (emphasis added), which usually amounts to you adding (hence more) to the original amount.

~

C - the change in the amount harvested.

There are three options.

1) The area of the farm

2) The amount of wheat harvested in the later year

3) The change in the amount of wheat harvested.

Let's look at the possible answers.

1) The area of the farm  - it doesn't tell us anything important at all. The area of the farm isn't important in this case. We can cross it off.

2) The amount of wheat harvested in the later year - How much of wheat was harvested in the later year doesn't really tell us anything. If he harvested 60000 bushels the second year, he could have harvested million bushels the third year or 0 bushels the third year. We don't really know and this option won't tell us anything about that.

3) The change in the amount of wheat harvested. - If we know, that he harvested 50,000 bushels the first year and they give us information, that the amount changed by 12,000 between the first and third year, we can do easy math. 50,000+12,000=62,000. Here we are. This option provided us with enough information to solve the problem. That's why it is the most important information.

Answer:

343 cm3

Step-by-step explanation:

Answer:

side(s) =7cm

volume (v)=l^3

or, v = 7^3

therefore the volume is 343cm^3.

hope its what you are searching for..

Answer:

D.

Step-by-step explanation:

It is D. because there are lines on top of the letters meaning that the points PQ, QR, and PR are lines/sides.

You chose the answer already!

Answer:

27.03   years

Step-by-step explanation:

The nper excel function can be used to determine the period in which the winnings would last as below:

=nper(rate,pmt,-pv,fv,type)

rate is the annual interest rate on the account

pmt is the amount of annual withdrawal which is $65000

pv is the current amount in the account which is $1,000,000

fv is the future balance in the account after all withdrawals are made i.e$0

type is 1 which  means withdrawals are made at the beginning of the year

=nper(5%,65000,-1000000,0,1)= 27.03  

Answer:

240 hours

Step-by-step explanation:

One person hour is a unit indicating the rate at which one person is working on the project .

The company estimates that it will take 2880 person- hours to complete the job

So let's determine how many hours it will take 12 workers to complete same job

The rate = 2880 person/hour

12 persons or workers =( 2880 person/hour)/12 persons

12 persons or workers = 2880/12

12 persons or workers=240 hours

It will take 12 workers 240 person hour to finish the project.

Thank you

Answer:

21/5

Step-by-step explanation:

if a/b = c, then b=a/c

in other words:

divide -7/25 by -1/15 to get the answer

It also helps to use the fact that a/b / c/d = a/b * d/c

-7/25 / -1/15 = -7/25 * -15/1

= 105 / 25

= 21 / 5

Answer:

[tex]4 \frac{1}{5} [/tex]

Step-by-step explanation:

[tex] \frac{ - 7}{25} \div x = \frac{ - 1}{15} [/tex]

[tex]x = \frac{ - 7}{25} \div \frac{ - 1}{15} [/tex]

[tex] = \frac{7}{25} \times \frac{15}{1} [/tex]

[tex] = \frac{21}{5} = 4 \frac{1}{5} [/tex]

Answer:

The coordinates of the intersection of the three altitudes = (-3.5, -1)

Step-by-step explanation:

The altitude of a triangle is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.

There are therefore three altitudes possible in a triangle, one from each vertex. All three altitudes always intersect at the same point called the orthocenter of the triangle.

Let the triangle ABC have altitudes AD, BE and CF as shown in the attached image to this solution. Let the orthocentre be O.

The point O is the point where all the coordinates AD, BE and CF meet.

Hence, to obtain the coordinates of O, we just need to equate the equations of two of the lines that serve as the altitude.

Before that, we need to c9mpute the equations of the two altitudes that we will use.

Noting that the altitudes are perpendicular to the sides of the triangle, we can compute the slopes of the altitudes from caldilating the slopes of the sides.

Slope of AB

= (y₂-y₁)/(x₂−x₁)

= (-5 - (-2))/(7 - (-5))

= (-3/12)

= (-1/4)

Slope of its altitude, CF

= -1 ÷ (Slope of AB)

= -1 × (-1/4)

= 4

The equation of CF is given using point C as,

y – y₁ = m(x – x₁)

y - 1 = 4 (x – 3)

y - 1 = 4x - 12

y = 4x + 13

Slope of BC

= (y₂-y₁)/(x₂−x₁)

= (1 - (-5))/(3 - 7)

= (6/-4)

= (-3/2)

Slope of AD

= −1 ÷ (Slope of BC)

= -1 ÷ (-3/2)

= (2/3)

The equation of AD using point A given as,

y – y₁ = m(x – x₁)

y – (-2)) = (2/3) (x – (-5))

y + 2 = (2x/3) + (10/3)

y = (2x/3) + (4/3)

Now equation the equations of the altitudes CF and AD

y = 4x + 13

y = (2x/3) + (4/3)

4x + 13 = (2x/3) + (4/3)

4x - (2x/3) = (4/3) - 13

(10x/3) = (-35/3)

10x = -35

x = -3.5

y = 4x + 13

y = (4×-3.5) + 13 = -14 + 13 = -1

coordinates of the orthocentre of the triangle = (-3.5, -1)

Hope this Helps!!!

Answer:

The first dot should be on 3, and the second should be at 15 so its a linear line.

Step-by-step explanation:

Step-by-step explanation:

let us keep the price of pants as x

and price of necklace as y

Simultaneous equations comes as follows:

4x + 3y = 216 for Alexis

7x + 2y = 300 for Jess

we'll make either x or y equal

here let's make y equal

2 ( 4x + 3y = 216)

3 ( 7x + 2y = 300)

8x + 6y = 432

21x + 6y = 900

21x - 8x = 900 - 432

13x = 468

x = $36

so a pant costs $36

And

3y = 72

y = $ 24

so a necklace costs $36

Answer: C  angles at the intersection are congruent and supplementary

Step-by-step explanation:

Two right angles are 90° each. So they add up to 180° which makes them supplementary. Supplementary alone is not proof that they are perpendicular because there are many combinations that add to 180.

Congruent means they are identical, or equal in size.

Only two  Right ( 90° ) angles meet those conditions.

C is the answers Answer:

Step-by-step explanation:

Answer:

Mean= 554.4

Standard deviation= 82

Step by step Explanation:

The question want us to calculate a) mean b) standard deviation, while we were given the probability mass function of random variables.

The percentage were of the carbon dioxide were given below;

6% of the trees in a minimal growth condition at 340 = 0.06

13% at 430 ppm = 0.13

46% at 560 ppm = 0.46

35% at 630 ppm= 0.35

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

Answer: 4 / x^4

Step-by-step explanation:

(20x^-3 / 10x^-1)^2

Simplify,

(2 / x^2)^2

= 4 / x^4

Answer: 44

Step-by-step explanation:

44

Step-by-step explanation:

to be honest I'm not sure how to do

Comment

7x²+5x​

(9x²+8x)-(2x²+3x)

We will subtract the like terms. That means that we will subtract [tex]2x^{2}[/tex] from [tex]9x^{2}[/tex] and 3x from 8x.

Answer:

D. 66

Step-by-step explanation:

Well if AD is 100 and AC is 34 that leaves CD so we can just subtraction 34 from 100 and get 66.

Answer:

D. 66

Step-by-step explanation:

AD = 100

AC = 34

The whole line is 100. A part of the line is 34. The other part will be 66.

100 - 34 = 66

Answer:

  the order of points remains the same

Step-by-step explanation:

Assuming the distortion is isomorphic, the order of points on any line or other continuous curve will remain the same.