Which rule best represents the dilation that was applied to Figure S to create Figure T?
A (x,y) → (2x, 2y)
B (x,y) → (4x, 4y)
C (X,Y) (3x, ży)
D (X,Y) → (x, y)

Answer:

6

Step-by-step explanation:

The two triangles are similar which means the the two length is parallel

.°., the Length of the smaller triangle=6

Answer:

B) 12 +n

Step-by-step explanation:

"More than" is a key word.

Whenever you see more than, you are adding.

Step-by-step explanation:

1. The given expression is, \(A=lw\)

We need to solve it for w.

\(w=\dfrac{A}{l}\)

2. The given expression is, \(C=\pi D\)

We need to solve it for D.

\(D=\dfrac{C}{\pi}\)

3. The given expression is, \(v=s+gt\)

We need to solve it for s.

\(s=v-gt\)

4. The given expression is, \(5x-2y=11\)

We need to solve it for y.

\(D=\dfrac{5x-11}{2}\)

5. The given expression is, \(P_1V_1=P_2V_2\)

We need to solve it for P₂. So,

\(P_2=\dfrac{P_1V1}{V_2}\)

Answer:

(D) 48​

Step-by-step explanation:

Let English book = x

Let french book = y

In 1995 x= 10

Y= 7

In 1996

Y = 2x

Total book read in the two years

0.6(Total) = y

0.4(total) = x

We don't know the exact amount of books read in 1996.

Total = 10 + 7 +x +2x

Total = 17+3x

0.6(total) = 7+2x

0.6(17+3x) = 7+2x

10.2 +1.8x= 7+2x

10.2-7= 2x-1.8x

3.2= 0.2x

3.2/0.2= x

16= x

So she read 16 English book

And 16*2 = 32 french book Making it a total of 16+32= 48 books in 1996

Answer:

no

Step-by-step explanation:

Answer: f(3) = g(6)

Step-by-step explanation: if you plug them in we see that f of 3 on the y axis intercept g of x so we then go up and see that g of 6 intercepts f of 3 so therefore that is the answer

Answer:

$50.6

Step-by-step explanation:

I think this is the answer, have a good day.

Answer:

$3,015

Step-by-step explanation:

To determine the amount that you will have in 6 years, you have to use the formula to calculate the future value:

FV=PV*(1+i)^n

FV= future value

PV= present value= $1,900

i= interest rate= 8%

n= number of periods of time= 6 years

FV=1,900*(1+0.08)^6

FV=1,900*(1.08)^6

FV=3,015

According to this, the answer is that in 6 years you will have $3,015 in your retirement account.

Answer: B

Step-by-step explanation:

Answer:

B. 5 11/12

Step-by-step explanation:

Simplify the following:

1 + 7/12 + 4 + 1/3

Put 1 + 7/12 + 4 + 1/3 over the common denominator 12. 1 + 7/12 + 4 + 1/3 = 12/12 + 7/12 + (12×4)/12 + 4/12:

12/12 + 7/12 + (12×4)/12 + 4/12

12×4 = 48:

12/12 + 7/12 + 48/12 + 4/12

12/12 + 7/12 + 48/12 + 4/12 = (12 + 7 + 48 + 4)/12:

(12 + 7 + 48 + 4)/12

| 2 |  

| 4 | 8

| 1 | 2

| | 7

+ | | 4

| 7 | 1:

Answer: 71/12 = Convert to a mixed number:

71/12

Divide 71 by 12:

1 | 2 | 7 | 1

12 goes into 71 at most 5 times:

| | | 5

1 | 2 | 7 | 1

| - | 6 | 0

| | 1 | 1

Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:

| | | 5 | (quotient)

1 | 2 | 7 | 1 |  

| - | 6 | 0 |  

| | 1 | 1 | (remainder)

The quotient of 71/12 is 5 with remainder 11, so:

Answer: 5 11/12

Your analysis is correct. Here's a summary:

If it is sunny, then it is 80° Fahrenheit. (Original statement)

Converse: If it is 80° Fahrenheit, then it is sunny. (Valid)

If it is 80° Fahrenheit, then it is sunny. (Original statement)

Converse: If it is sunny, then it is 80° Fahrenheit. (Valid)

If it is not sunny, then it is not 80° Fahrenheit. (Original statement)

Converse: If it is not 80° Fahrenheit, then it is not sunny. (Invalid)

Counterexample: A day that is not 80° Fahrenheit and not sunny (e.g., 70° and cloudy).

If it is 80° Fahrenheit, then it is sunny. (Original statement)

Converse: If it is sunny, then it is 80° Fahrenheit. (Invalid)

Counterexample: A day that is 80° Fahrenheit and cloudy.

In cases 1 and 2, the original statements and their converses are valid because the relationship between "sunny" and "80° Fahrenheit" holds in both directions. However, in cases 3 and 4, the converses are invalid because there are counterexamples where the second part of the statement (either "not 80° Fahrenheit" or "cloudy") does not necessarily imply the first part ("not sunny" or "80° Fahrenheit").

Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.

\(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

The given fraction is \(1\frac{3}{4}\).

\(1\frac{3}{4}\) feet can be written as a multiplication expression as follows: 1 foot × 1 3/4. This is because \(1\frac{3}{4}\) is the same as 1 + 3/4.

Furthermore, 3/4 can be written as 0.75, which is the same as 0.75 × 1 foot.

Therefore, the multiplication expression is 1 foot × \(1\frac{3}{4}\) = 1 foot × (1 + 0.75) = 1 foot × 1 + 1 foot × 0.75 = 1 foot + 1.75 feet.

Therefore, \(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

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Step-by-step explanation:

1ft=12in

1¾ft=x

x=12×7/4=21in

1¾ft=1¾×1 ft

The ordered pair (-4 1/2, -1) can be represented by point P, which is located on a two-dimensional Cartesian coordinate system.

The Cartesian coordinate system is a system of two-dimensional coordinates used to identify the position of a point, line, or shape. It is based on a two-dimensional grid that is composed of two perpendicular lines, called the x-axis and the y-axis. The origin (0,0) is the point where the two axes intersect.

The ordered pair contains two numbers, which are the x-coordinate and the y-coordinate respectively. The x-coordinate of the point P is -4 1/2 and the y-coordinate is -1. This means the point P is located 4 1/2 units to the left of the y-axis and 1 unit below the x-axis.

The ordered pair (-4 1/2, -1) can be represented by the point P which is located 4 1/2 units to the left of the y-axis and 1 unit below the x-axis.

The x-coordinate of the point P is -4 1/2 and the y-coordinate is -1. This means the point P is located 4 1/2 units to the left of the y-axis and 1 unit below the x-axis.

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The percentage of students in Mr Sanchez class that are bus riders can be calculated below

number of student that are bus rider = 12

Total number of student = 12 + 8 + 4 + 6 = 30

Therefore, the percentage is

Answer:

Let's assume the original price of the stock was x.

When the company announced it overestimated demand, the stock price fell by 40%.

So, the new price of the stock after the first decline was:

x - 0.4x = 0.6x

A few weeks later, when the seats were recalled, the stock price fell again by 60% from the new lower price of 0.6x.

So, the new price of the stock after the second decline was:

0.6x - 0.6(0.6x) = 0.24x

Given that the current stock price is $2.40, we can set up the equation:

0.24x = 2.40

Solving for x, we get:

x = 10

Therefore, the stock was originally selling for $10.

Answer:

S₇ = 514.75

Step-by-step explanation:

the nth term of a geometric sequence is

\(t_{n}\) = a\(r^{n-1}\)

where a is the first term and r the common ratio

given t₂ = 24 and t₅ = 81 , then

ar = 24 → (1)

a\(r^{4}\) = 81 → (2)

divide (2) by (1) to eliminate a

\(\frac{ar^{4} }{ar}\) = \(\frac{81}{24}\)

r³ = \(\frac{81}{24}\) ( take cube root of both sides )

\(\sqrt[3]{r^{3} }\) = \(\sqrt[3]{\frac{81}{24} }\)

r = 1.5

substitute r = 1.5 into (1) and solve for a

a × 1.5 = 24 ( divide both sides by 1.5 )

a = 16

the sum to n terms of a geometric sequence is

\(S_{n}\) = \(\frac{a(r^{n}-1) }{r-1}\) , then

S₇    = \(\frac{16((1.5)^{7}-1)) }{1.5-1}\)

      = \(\frac{16(17.0859375-1)}{1.5-1}\)

     = \(\frac{16(16.0859375)}{0.5}\) ( divide 16 by 0.5 )

     = 32 × 16.0859375

     = 514.75

y =

-5-

-15-

258

-20

2

[x² +3, x < 1

x+6, 21

(x² +3, x>1

x+6, x≤1

(x² +3, x≤1

[x+6, x>1

OD. y - x² +3,x21

y=|x|+4 is the function of the given graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

A mathematical representation of a network and it describes the relationship between lines and points is called graph.

The given graph is a function of y=x+4

Let us find some values of x and y

x        0       1        2      3       4     5

y        4       5       6       7       8     9

As we observe the graph, these points are plotted.

Hence, y=|x|+4 is the function of the given graph.

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Therefore , the solution of the given problem of angles comes out to be Greeks failed to demonstrate that tripling a square with only a straight edge and compass was also unachievable.

The highest and lowest walls of a skew are used to split the curved lines that make up its ends using Cartesian measurements. A collision between two poles at an intersection is a potential. Angle is another outcome of two things interacting. They resemble dihedral forms the most closely. A two-dimensional curve can be created by placing two line beams in various configurations between their ends.

Here,

The Greeks were unable to trisect a line section using only a straight edge and compass.

The Greeks proved that using only a straight edge and compass, it is impossible to trisect any angle or double a cube.

The Greeks failed to demonstrate that tripling a square with only a straight edge and compass was also unachievable.

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answer is here about stem and leaf

For the linear function built from the scatter plot, it is found that:

The slope-intercept representation of a linear function is the rule presented as follows:

y = mx + b

The coefficients of the function and their meaning are listed as follows:

From the graph, we have that when x = 0, y = 500, hence the intercept of the line is:

b = 500.

When the input increases by 200, the output increases by 1000, hence the slope is:

m = 1000/2 = 5.

Thus the equation is:

y = 5x + 500.

The graph is given by the image at the end of the answer.

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Answer:

Length = 54 inches and width = 9 inches.

Step-by-step explanation:

Let the width be x in , then the length is 6x in.

So 2*x + 2*6x  126

14x = 126

x = 9 in.

So L = 6*9 = 54 in, and W = 9 in.

Step-by-step explanation:

Perimeter = 2l + 2w

but;

Perimeter = 126

lenght = 6w ( let the width be the variable w)

126 = 2(6w) + 2(w)

126 = 12w + 2w

126 = 14w

126/14 =w

w = 9

Therefore width is 9

and length = 6× 9 = 54

Answer:

Amar pays the most

Step-by-step explanation:

Amar pays the most, because Mira and Raja split the bill, so they onyl need to pay 1/5 each. However, Amar needs to pay 2/5 which is the most.

Hope this helps!

It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed,  then you can estimate that you will be driving for approximately 65.344 minutes longer to complete the remaining 98 km of your journey.

To estimate how much longer you will be driving for, we can use the concept of proportionality. We know that the time taken to drive 48 km is 32 minutes. Let's use this information to find the time it would take to drive 146 km.

We can set up a proportion to find the time:

(time taken for 48 km) / (48 km) = (time taken for 146 km) / (146 km)

Let's solve for the time taken for 146 km:

(time taken for 146 km) = (time taken for 48 km) * (146 km / 48 km)

Substituting the given values:

(time taken for 146 km) = 32 minutes * (146 km / 48 km)

Calculating the value:

(time taken for 146 km) ≈ 32 minutes * 3.042

(time taken for 146 km) ≈ 97.344 minutes

Therefore, it would take approximately 97.344 minutes to drive 146 km at the same speed.

To estimate how much longer you will be driving for, we can subtract the initial time of 32 minutes from the estimated time of 97.344 minutes:

Additional time = 97.344 minutes - 32 minutes

Additional time ≈ 65.344 minutes

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It would be wiser for the couple to stay in the old apartment and save $1400.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Explanation:

If they stay until the end of the lease, total money that will be paid out is $1000 x 6 = $6000,

If they leave, they'll have to forgo $1000.

If they move to their new apartment, they'll pay $900 x 6 = $5400

total expenditure if they move to the new place at the end of the six months period will be, the $1000 that will not be refunded back to them on the old apartment, plus this new $5600 for six month's rent in this new apartment, and that will be a total of $6400.

It would be wiser for the couple to stay in the old apartment and save $1400.

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Answer::

Explanation:

Given the polynomials f(x) and g(x) defined below:

The composite function: g(f(x))

Therefore: