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Answer:  A) Triangle MNO is reflected across the y-axis and then dilated by a scale factor of 1.8 to form triangle M"N"O".

Step-by-step explanation:

We know that we prefer rigid motions to create congruent images.

There are four kinds of rigid motions:  

1) translation 2) reflection 3) rotation 4) glide reflection.

But a dilation is a transformation that creates an image having similar shape as the original, but with a different size.

So it does not create congruent images.

Hence transformations will produce similar, but not congruent, figures is :

Triangle MNO is reflected across the y-axis and then dilated by a scale factor of 1.8 to form triangle M"N"O".

The rate in pairs of jeans per hour is 1/4

For every 2/3 hour Harris can sow 1/6 pair of jeans

Therefore the rate of Harris's jeans in pairs can be calculated as follows

= 1/6 ÷ 2/3

= 1/6 × 3/2

= 3/12

= 1/4

Hence the rate in pairs of jeans per hour is 1/4

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The number of calories is there in 3 cups of cereal will be equal to 384.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total calories in 3/4 cup = 96

Let's assume that the number of calories per cup is x.

Then,

3/4 cup = 96

1 cup = x

Use cross-multiplication,

0.75x = 96

x = 96/0.75

x = 128 calories

Then, the calories in 3 cups will be,

= 128 × 3

= 384

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For light: Inverse Square Law 

The signal is weaken by the inverse square of the difference of distances this means that one over the square of the difference. 

Therefore, 70000LY / 141 LY =496.45 and that squared =246462.602 times less signal, or 1/246462.602.

 2 For a circular telescope like the Arecibo radio telescope that equals Pi times the radius squared. Sensitivity of the telescope depends on its area.
The new telescope needs 246462.60 times that area to have enough sensitivity 

(150 x 150 x Pi) = 70 685 sq m area for the Arecibo telescope and that times 246462.60
= 1.74212 x 10^10

What is the diameter of a circle with that area?

 
1. Divide the area by Pi = 5.548156 x 10^9
2. Take the square root of the result to find the radius = 74485.94293

3. Multiply by 2 to find the diameter = 148971.886

Answer:

Step-by-step explanation:

The volume of the cube depends on the length of its sides.

Volume can be represented by the function

V(s) = s³

Where s represents the length of one side.

Now V(3) = 27

or V(3) = 3³   will represent the volume of the cube with a side of length 3 unit.

The profit-maximizing quantity for Doggies Paradise Inc. is determined by comparing marginal revenue and marginal cost for each output level and is found to be at five units, which results in a profit of $40.

To calculate the profit-maximizing quantity for Doggies Paradise Inc., we construct a table showing total revenue, marginal revenue, total cost, and marginal cost for each output level from one to five units. Given the price of $72 per dog coat, the fixed costs of $100, and the various total variable costs for each output level, we can determine the profit-maximizing quantity by comparing marginal revenue and marginal cost.

If Doggies Paradise Inc. produces and sells five units, they will achieve a profit of $40, as total revenue will be higher than total costs, indicating that the fifth unit is adding to the profits.

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Answer:

the answer to the question is 69.363

Step-by-step explanation:

Both given stories represents the given graph.

Given that, a person starts climbing a mountain, and then walks across a plateau, before finishing her climb to the top.

An airplane reaches its cruising altitude.

The height in the sky at which an airplane stays for most of a flight.

Cruise altitude is usually where the higher ground speed is balanced against the decrease in engine thrust and efficiency at higher altitudes.

In the graph a plateau and cruising altitude of a function is a part of its domain where the function has constant value.

Therefore, both given stories represents the given graph.

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Answer:

The number of blue toy cars that Jacob has is 10.

Solution:

Given:

Total number of toy cars = 16

Number of red cars = [tex]\frac{3}{8}[/tex] of the total number of cars = [tex]\frac{3}{8}\times16[/tex]

On dividing 8 and 16 we get 2 i.e. [tex]3\times2=6[/tex]

[tex]\therefore[/tex] Total red cars = 6

To find: the number of blue toy cars

Number of blue toy cars = Total number of toy cars - Number of red cars

[tex]\Rightarrow 16-6=10[/tex]

Hence, blue cars = 10

The expression in terms of F is C = 5(F - 32)/9 if the relationship between F and C is F = (9/5)C + 32.

The linear expression can be defined as the relation between two variables, if we plot the graph of the linear expression we will get a straight line.

If in the linear expression, one variable is present, then the expression is known as the linear expression in one variable.

It is given that:

The relationship between F and C is:

F = (9/5)C + 32

To convert temperature from degrees Celsius to degrees Fahrenheit for c:

Make the subject as C:

(9/5)C = F - 32

As we know,

The expression can be defined as the combination of constants and variables with mathematical operators.

9C = 5(F - 32)

C = 5(F - 32)/9

Thus, the expression in terms of F is C = 5(F - 32)/9 if the relationship between F and C is F = (9/5)C + 32.

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