25. Which correctly gives the center of dilation
and scale factor of the dilation below
a) dilated by a scale factor of 1/3 with
the origin as the center of dilation
b) reflection in the line y = -x
(x, y)-(-y, - x)
Directions: Graph and label each figure and its image under the sequence of transformations.
Give the coordinates of the image.
27. Rectangle PQRS with vertices P(-6, 9), Q(3, 6), R(0, -9), and S(-9, -6):
10,10
لهاشم
(-8,-1): 4-
B. (-8,-1);-
C. (0,-5): 4-
D. (0,-5);&-4
C
016-31
R. (20
5.16.9
P
26. N(-10, -15) is the image of N after a dilation
with a scale factor of 5/4, centered at the
origin. What are the coordinates of N
29. Which sequence of transformations will map PQ onto RS?
R
13
A. a 90° clockwise rotation about the origin,
then a reflection in the x-axis
B. a 180° rotation about the origin,
then a translation along the vector (2.2)
C. a reflection in the x-axis, then a
translation along the vector (2,6)
D. a translation along the vector (5.-2),
then a reflection in the x-axis
D.

Answer:

y = 60

Step-by-step explanation:

"The ratio of y to x is 3"

This means that, \(y\div x=3\)

"The sum of y and x is 80"

This means,  \(x+y=80\)

If \(y\div x=3\), then \(y = (3*x)\).

We can plug this into the other equation by substitution:

\(x + (3 * x)=80\)

This simplifies to:

\(4x = 80\)

Which we can solve out and get:
\(x=20\).

We solved for x, but we need the value of y.

So, we go back to the equation we first derived: "\(y = (3*x)\)".

And now we substitute the value of x, into this.

\(y = (3 * (20))\)

By solving this out, we get:
\(y=60\)

So, the value of y is 60.

When testing the difference between the means of two normally distributed populations using independent random samples with equal variances, the correct test statistic to use is the two-sample t-test.

The two-sample t-test compares the means of two independent samples to determine if there is a significant difference between them. It takes into account the sample means, sample sizes, and sample variances to calculate a t-value. The assumption of equal variances is important in this context.

The formula for the two-sample t-test depends on the specific context, such as whether the samples have equal or unequal variances. The appropriate formula can be selected accordingly. However, when the variances of the populations are assumed to be equal and the sample sizes are relatively large (as per the general guidelines), the pooled two-sample t-test is commonly used.

In summary, the correct test statistic to use for testing the difference between the means of two normally distributed populations using independent random samples with equal variances is the two-sample t-test.

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Using fraction formula ,

The flour used by ramil and Carly for making bread is 33/40lb

Fraction: fraction is a number represented as a quotient, in which a numerator is divided by a denominator.

We have given that,

Ramil and Carly used 1/2 lb flour to make the bread.

They used 1/8lb less flour to make bread than to make cookies.

So, they used flour to make the cookies = 1/2+1/8

= 5/8lb

Therefore they used 5/8lb flour to make the cookies.

they used 1/5 lb more breads to make cookies than to make brownies. Mathematically, they used cookies for making the brownies is

= 1/5 + 5/8

=(8 + 25)/40 = 33/40lb

Therefore , they used 33/40lb flour to make the brownies.

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Complete question:

Ramil amd carly decided to make more baked goods for the bake sale. They used 1/8 lb less flour to make bread than to make cookies. She used 1/5 lb more to make cookies than to make brownies. If she used 1/2 lb of flour to make the bread, how much flour did she use to make the brownies

Answer:

b = 12.5

YZ= 100

Step-by-step explanation:

X__Y__Z

XZ = XY + YZ

175 = 6b + 8b

175 = 14 b

b = 175/14

b = 12.5

YZ = 8 b = 8 × 12.5 = 100

I hope I helped you^_^

The numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾. The third option is correct.

The ordering of numbers refers to arranging numbers in a specific sequence based on their magnitude or value. The ordering of numbers is determined by their relative values. Comparisons are made between numbers to determine their position in the order.

12⅝ = 101/8 = 12.645

12.62 = 12.62

√146 = 12.0830

12.39 = 12.39

12¾ = 51/4 = 12.75

Therefore, the numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾.

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Answer:

When the increase in demand is greater than the decrease in supply, the equilibrium price rises and the equilibrium quantity increases.

What is economic equilibrium?

Economic equilibrium, as used in economics, is a state in which forces such as supply and demand are in balance and where, in the absence of external influences, the values of economic variables will remain constant.

The equilibrium quantity rises if the rise in demand outweighs the fall in supply. The equilibrium quantity falls if the rise in demand is smaller than the fall in supply. Equilibrium price rises in each scenario.

The supply and demand curves move in opposition to one another. However, the supply curve shifted to the left while the demand curve shifted to the right (signalling a rise in demand) (indicating a decrease in supply).

In the case increase in demand > decrease in supply

In this instance, the supply curve's leftward movement is proportionally less than the rightward change of the demand curve. So, the price and the equilibrium quantity both increase.

Therefore, the equilibrium price and quantity increases.

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Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

Answer:

4.2 kanban containers required

Step-by-step explanation:

Given the following information :

Waiting time = 0.25 days

Average peocessing time = 0.15 days / container

Daily usage (Demand rate) = 2000 per day

Container capacity = 200 wheels

Policy variable ( Alpha) = 5% = 0.05

Therefore, number of kanban containers needed for the wheels can be calculated using:

(Number of containers(x) * container size) = (Demand rate (waiting time + processing time)*(1 + alpha))

x * 200 = 2000(0.25 + 0.15)*(1 + 0.05)

200x = 2000(0.40)*(1.05)

200x = 840

x = 840 / 200

x = 4.2

4.2 kanban containers required

To find the slope:

 ⇒ must know the slope's formula

    ⇒ \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

        ⇒ \((x_{1} ,y_{1} )\) and \((x_{2} ,y_{2} )\) are any points on the line

           ⇒ we use (-1,2) and (0,5) since they are the only points that we

                know that are on the line

Let's solve:

  \(Slope = \frac{5-2}{0--1} =\frac{3}{1}\)

Slope is 3

Hope that helps!

Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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The function f(x) = { (1/16)x³, x ≤ 4; x² + 4, x > 4 } is differentiable everywhere, since it is continuous and has a well-defined derivative at every point and the value of a is 1/16 and b is 4

Now, let's consider the function f(x) given by f(x) = { ax^3, x ≤ 4; x^2 + b, x > 4 }. We are asked to find values for a and b such that the function is differentiable everywhere.

Returning to our function f(x), we need to find values for a and b such that the left and right limits of f(x) at x = 4 are equal and are equal to the value of f(x) at x = 4.

The left limit of f(x) at x = 4 is given by:

lim (x → 4-) f(x) = lim (x → 4-) (ax³) = 64a

The right limit of f(x) at x = 4 is given by:

lim (x → 4+) f(x) = lim (x → 4+) (x² + b) = 16 + b

The value of f(x) at x = 4 is given by:

f(4) = 64a = 16 + b

To make the left and right limits equal, we must have:

64a = 16 + b

To make the function continuous at x = 4, we must have:

64a = 16 + b = f(4)

Solving for a and b, we get:

a = 1/16

b = 4

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Answer:

0.22 miles

Step-by-step explanation:

Let

A = Distance pumpkin A travels = 0.61 miles

Distance pumpkin B travels is 0.28 mile farther than Pumpkin A

\(B=0.28+A\\\Rightarrow B=0.28+0.61\\\Rightarrow B=0.89\ \text{miles}\)

Distance pumpkin B travels is 0.06 miles further than pumpkin C

\(B=0.06+C\\\Rightarrow C=B-0.06\\\Rightarrow C=0.89-0.06\\\Rightarrow C=0.83\ \text{miles}\)

To calculate how much farther pumpkin C travels than pumpkin A we have the subtract their distances

\(C-A=0.83-0.61=0.22\ \text{miles}\)

So, pumpkin C traveled 0.22 miles more than pumpkin A.

The probability that the diameter of a selected bearing is greater than 52 millimeters is 0.8413. This can be calculated using the formula for probability of a normal distribution:

P(x > 52) = 1 - P(x ≤ 52)

P(x ≤ 52) = (52 - 58) / 6 = -1

P(x > 52) = 1 - P(-1) = 1 - 0.1587 = 0.8413.

Therefore, the probability that the diameter of a selected bearing is greater than 52 millimeters is 0.8413.

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Answer:

2 vegetable toppings and 4 meat toppings

Step-by-step explanation:

How to solve it : Use Guess and Check

Equation: 2($1) + 4( $2) = $2 + $8 = 10$

                  ^            ^

             Veggie     Meat

           Toppings  Toppings

     Hope this Helps!!! :)

The original number of peanuts in the bag was 21 + 10 + 10 + 40 + 10 = 91 peanuts.

1. Preston took 10 peanuts, so before he took them, there were 71 + 10 = 81 peanuts.

2. Brent took half of the remaining peanuts, which means he took 1/2 * 81 = 40.5 peanuts. Since we can't have a fraction of a peanut, we round it down to 40 peanuts. This leaves 81 - 40 = 41 peanuts.

3. Joy took 1/4 of the remaining peanuts, which means she took 1/4 * 41 = 10.25 peanuts. We round it down to 10 peanuts. This leaves 41 - 10 = 31 peanuts.

4. Philip took 1/3 of the peanuts, which means he took 1/3 * 31 = 10.33 peanuts. We round it down to 10 peanuts. This leaves 31 - 10 = 21 peanuts.

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Answer:B 66.72

Step-by-step explanation:

complementary means if two angles are added up they will equal 90. we and eliminate d cause 23.28+23.28=46.56 so d is wrong now let's try c 46.56+23.28=69.84 so c is wrong cause it doesn't equal 90 now let's try a 156.72+23.28=180 its wrong since we are using complementary angles instead of supplementary angles Supplementary are angle two angles that add up to 180. so that just leaves b cause 23.28+66.72=90. i hope this helps and i made sure to explain it as best as i can have a great day

The solution is Option B.

The measure of the complementary angles are 66.72° and 23.28°

When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

Let the first angle and second angle be a and b respectively such that

a + b = 90°

Given data ,

Let the first angle be represented as A

Now , the value of A is = 23.28°

Let the second angle be represented as B

Now , the value of B is = B

The angles A and B are complementary ,

So , A + B = 90°   be equation (1)

Substituting the values in the equation , we get

23.28° + B = 90°

On simplifying the equation , we get

Subtracting 23.28° on both sides of the equation , we get

B = 90° - 23.28°

B = 66.72°

Therefore , the value of B is 66.72°

Hence , the measure of the angle is 66.72°

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No, Etsuko is not correct. The length of the larger paper is 17.9 cm greater than the length of the smaller paper.

The smaller paper has a side length of 7.5 cm. The larger paper has a side length of 25.4 cm.

The difference between the two side lengths is 25.4 cm - 7.5 cm = 17.9 cm.

Therefore, the length of the larger paper is 17.9 cm greater than the length of the smaller paper.

Etsuko's error is likely due to the fact that she rounded the difference between the two side lengths to 32.9 cm. However, this rounding error is significant, and it results in her answer being incorrect.

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The angle measures for this problem are given as follows:

Then the four letter code is given as follows:

FBCA.

For angle A, first we have that (2x + 35)º and (8x - 40)º are vertical angles, hence the value of x is obtained as follows:

8x - 49 = 2x + 35

6x = 84

x = 84/6.

x = 14

This means that the measure of angle A is obtained as follows:

m<A = 2(14) + 35 = 28 + 35 = 63º.

For angle B, the two angles are supplementary, hence the value of x is given as follows:

10x - 18 + 15x + 48 = 180

25x = 150

x = 150/25

x = 6.

Then the measure of angle B is given as follows:

m < B = 15x + 48 = 15(6) + 48 = 138º.

For angle C, the alternate interior angles are congruent, hence the value of x is obtained as follows:

7x + 5 = 12x - 75

5x = 80

x = 16.

Then the measure of angle C is obtained as follows:

m<C = 7x + 5 = 7(16) + 5 =  117º.

For item 4, the angles form a linear pair, meaning that they are supplementary and the value of x is obtained as follows:

27x - 21 + 10x + 16 = 180

37x = 185

x = 185/37

x = 5.

Then angle D is calculated as follows:

m < D = 27x - 21 = 27(5) - 21 = 114º.

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Answer:

1,942,364

Step-by-step explanation:

   1 8 4 9 0 3 2

+        9 3 3 3 2

------------------------

   1 9 4 2 3 6 4

Joseph now has 1,942,364 apples.

No. of apples Joseph had in the beginning = 93332

No. of apples he gets more = 1849032

Total no. of apples he has now = 93332 + 1849032

= 1,942,364

Answer:

\( \red{ \rule{1pt}{500000pt}}\) \( \red{ \rule{1pt}{500000pt}}\)

Step-by-step explanation:

Answer:

4 1/2

Step-by-step explanation:

Answer:

15 cm (to the nearest cm)

Step-by-step explanation:

Circumference of a circle = πd   (where d is the diameter)

Large disc

⇒ circumference = 3.14 × 27.3 = 85.722 cm

Small disc

⇒ circumference = 3.14 × 22.5 = 70.65 cm

Difference between circumferences

= circumference of large disc - circumference of small disc

= 85.722 - 70.65

= 15.072

= 15 cm (to the nearest centimeter)

Answer:

24°

Step-by-step explanation:

We are given that m∠EFG is a right angle, and that m∠EFH = 66°

m∠EFH + m∠HFG = m∠EFG

Substitute values and solve.

66 + m∠HFG = 90

m∠HFG = 24°

Answer:

i just need point im so sorry only in Geomotry

Answer:

4.5π ft.^2

Step-by-step explanation:

Please see the attached image.

The area of a circle is the radius of the circle squared times pi.

The diameter of the round top is 6.

The radius of a circle is equal to half the diameter, so 6/2=3.

Knowing the radius of the table is 3, we can find the area by doing

3^2π=9π

9π is the area of the table, so to get half of that, simply divide by 2.

9π/2=4.5π

Answer: 4.5π ft.^2

Answer:

14.1 ft^2 or In terms of pi:   A = (1/2)(π)(3 ft)^2   =   (9/2)π ft%2

Step-by-step explanation:

We're talking about a semicircle here.  "semi-" indicates "half."

Here the cut edge along the wall is 6 ft, so the radius of the semicircle is half that, or 3 ft.

The area of the semicircle is A = (1/2)(pi)(3 ft)^2 = 14.1 ft^2

In terms of pi:   A = (1/2)(π)(3 ft)^2   =   (9/2)π ft%2

The given information states that software architecture has been standardized to include five architectural segments, namely the operating system (OS), I/O services (IOS), and three additional segments not specified.

Software architecture has been standardized to have five architectural segments and two application program interfaces (APIs). The architectural segments consist of the operating system (OS), I/O services (IOS), and three additional segments that are not specified in the given information. These segments are typically designed to handle specific functionalities or components of the software system.

The operating system (OS) segment is responsible for managing the hardware resources and providing essential services to the software applications. It handles tasks such as memory management, process scheduling, file system management, and device drivers. The I/O services (IOS) segment is responsible for handling input and output operations, such as user interaction, data transfer between external devices and the software system, and file I/O operations.

The two application program interfaces (APIs) provide a means for different software components or modules to communicate and interact with each other. APIs define a set of functions, protocols, and data structures that enable the exchange of information and services between different software entities. They serve as an abstraction layer, allowing developers to build upon existing functionality without needing to understand the underlying implementation details.

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Answer:

0.1

Step-by-step explanation:

Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator

Answer:

180cm2

Step-by-step explanation:

area of a parallelogram is base × height

20×9

180

Answer:

D.180cm2

Step-by-step explanation:

The future values are:

a) $4,046.63

b) $4,838.96

c) $2,818.75

d) $4,555.30

To calculate the future value using continuous compounding, we can use the formula:

\(Future Value = Principal * e^(rate * time)\)

Where:

- Principal is the initial amount

- Rate is the annual interest rate

- Time is the number of years

- e is the mathematical constant approximately equal to 2.71828

Let's calculate the future values for each scenario:

a) 6 years at a stated annual interest rate of 8 percent:

Principal = $2,500

Rate = 0.08

Time = 6

\(Future Value = 2500 * e^(0.08 * 6)Future Value = 2500 * e^0.48Future Value ≈ 2500 * 1.61865Future Value ≈ $4,046.63\)

b) 6 years at a stated annual interest rate of 11 percent:

Principal = $2,500

Rate = 0.11

Time = 6

\(Future Value = 2500 * e^(0.11 * 6)Future Value = 2500 * e^0.66Future Value ≈ 2500 * 1.93558Future Value ≈ $4,838.96\)

c) 2 years at a stated annual interest rate of 6 percent:

Principal = $2,500

Rate = 0.06

Time = 2

\(Future Value = 2500 * e^(0.06 * 2)Future Value = 2500 * e^0.12Future Value ≈ 2500 * 1.12750Future Value ≈ $2,818.75\)

d) 6 years at a stated annual interest rate of 10 percent:

Principal = $2,500

Rate = 0.10

Time = 6

\(Future Value = 2500 * e^(0.10 * 6)Future Value = 2500 * e^0.60Future Value ≈ 2500 * 1.82212Future Value ≈ $4,555.30\)

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