Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object.​

Answer:

B.

Step-by-step explanation:

This option is correct.

Hope it helps!

The domain of the graphed function is B. x ≤ 0.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given is a graph of a function.

Domain of the function is the set of all the input values of the function that the function holds.

That is set of all values of x such that the function is defined for all that x.

Closed circle is marked at the value of x at 0.

The function is graphed for all x less than or equal to 0.

No points in the graph has x value greater than 0.

So domain is x ≤ 0.

Hence the domain is option B. x ≤ 0.

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Answer:

x = 5

y = 1

Step-by-step explanation:

2x - y = 9

3x + 4y = 19

We multiply the first equation by 4

8x - 4y = 36

3x + 4y = 19

11x = 55

x = 5

Now we put 5 in for x and solve for y

2(5) - y = 9

10 - y = 9

-y = -1

y = 1

Let's Check the answer

2(5) - 1 = 9

10 - 1 = 9

9 = 9

So, x = 5 and y = 1 is the correct answer.

Answer

35

Step-by-step explanation:

4.55/.13=35. Also, Heidi could do 35x13. I hope this helps!

The correct transformation that describes why rectangles ABCD and A′B′C′D′ are similar is Rectangle ABCD was dilated by a scale factor of 5 to form rectangle A′B′C′D′.

Dilation is a transformation that changes the size of an object while maintaining its shape. In this case, the coordinates of rectangle ABCD were multiplied by a scale factor of 5 to obtain the coordinates of rectangle A′B′C′D′.

This means that each side length of rectangle ABCD was multiplied by 5 to get the corresponding side length of rectangle A′B′C′D′.

The reflection across the y-axis and the rotation of 90° counterclockwise would result in different shapes and orientations, not maintaining the similarity between the two rectangles.

The dilation by a scale factor of 15 or 1/5 would also change the proportions and not result in a similar rectangle.

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Answer:

Alright!

Step-by-step explanation:

Reflecting across the x-axis, the x-coordinate ALWAYS remains the same, but the y-coordinate is transformed into its opposite. If you forget this, fold along the x line, and you should be able to figure it out. Reflecting across the y-axis, the y-coordinate ALWAYS remains the same, but the x-coordinate is transformed into its opposite. If you forget this, fold along the y line, and you should be able to figure it out.

Hope I helped!

Answer:

Step-by-step explanation:

Answer 1

Answer 2

Area = 1/2 * 6 * 11

Answer:

Make the -4 exponent in the denominator positive.

The number 2/5 is both a ratio and a fraction.

The number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.

The expression is also a ratio because it indicates the quantitative relationship between the figures.

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1/100

To get the fraction of the square shaded we would use the rows and columns

For the row:

The total on the 1st row = 1

The first row is divided into 10. This means each box in the first row: 1/10

One of the box is shaded. This implies the fraction shaded in the first row is 1/10

For the column:

The total on the 1st column = 1

The column is also divided into 10 box which means each box represent 1/10

Since one of the box in the column is shaded, it represent 1/10

Fraction of the whole square shaded = fraction shaded in the row × fraction shaded in the column

Fraction of the whole square shaded = 1/10 × 1/10

Fraction of the whole square shaded = 1/100

The relative change in price from 1993 to 2016 is 57.02%, which means that the price increased by 57.02%.

The real difference between two numbers is referred to as an absolute change. The absolute difference in temperature, for instance, is 5 degrees Celsius if the temperature rises from 20 to 25 degrees Celsius.

On the other hand, relative change expresses the difference between two values as a percentage of the starting point. Regardless of the values' dimensionality, it enables us to compare changes across various settings.

The relative change is given by:

Relative Change = (New Value - Old Value) / Old Value * 100%

Substituting the values we have:

Relative Change = (435 - 277) / 277 * 100%

Relative Change = 158 / 277 * 100%

Relative Change = 57.02%

Therefore, the relative change in price from 1993 to 2016 is 57.02%, which means that the price increased by 57.02%.

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Answer: 10

Step-by-step explanation:

For simplicity, I will let the intersection of the diagonals be point E.

Since diagonals of a rhombus bisect each other, we know that triangle DEC is a right triangle.

Thus, we can use the fact that the acute angles of a right triangle are complementary to conclude that:

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \: x = 10°\)

____________________________________

\( \large \tt Solution \: : \)

Diagonals of a Rhombus bisect each other at right angle (90°)

\(\qquad \tt \rightarrow \: x + 58 + 90 = 180\)

[ Sum of interior angles of a triangle ]

\(\qquad \tt \rightarrow \: 3x - 13 + 8x - 7 + 90 = 180\)

\(\qquad \tt \rightarrow \: 11x + 70 = 180 \)

\(\qquad \tt \rightarrow \: 11x = 180 - 70 \degree\)

\(\qquad \tt \rightarrow \: 11x = 110\)

\(\qquad \tt \rightarrow \: x = \cfrac{110}{11} \)

\(\qquad \tt \rightarrow \: x = 10 \degree\)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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An ordered pair which best represents the location of point R′ include the following: B. (−3n, −5n).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage (Triangle TRW) by using a scale factor of n centered at the origin as follows:

Ordered pair T (-3, 5) → Ordered pair T' (-3 × n, 5 × n) = Ordered pair T' (-3n, 5n).

Ordered pair R (-3, -5) → Ordered pair R' (-3 × n, -5 × n) = Ordered pair R' (-3n, -5n).

Ordered pair W (4, -5) → Ordered pair W' (4 × n, -5 × n) = Ordered pair W' (4n, -5n).

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Complete Question:

Triangle TRW will be dilated by a scale factor of n with the origin as the center of dilation to create triangle T'R'W'. Which ordered pair best represents the location of point R′?

answer choices

(-3/n, -5/n)

(−3n, −5n)

(−3+n,−5+n)

(−3−n,−5−n)

Answer:

Step-by-step explanation:

fraction decomposition for the expression

13x - 7/(x+2)(4x-3)

Answer: A

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x) = 3x^2 + 6x + 3

a of s: -6/6 = -1

3(-1)^2 + 6(-1) + 3

3 - 6 + 3

-3 + 3 = 0

(-1,0)

answer is A. the first one

Answer:

Step-by-step explanation:

There are two ways to do this.

1. You could make an accurate diagram and measure R. This works but the computer won't like it. However you will know if you are correct. An answer ± 2 degrees would tell you that you are likely correct.

2. The second way is to find <C. Similarity guarantees that <C and <R are equal. The adjacent side to angle C is the second longest line. The second longest line in PQR is the adjacent side of <R.

Naturally we will use the second method, but you ought to try the first method. It's cumbersome but it will teach you how to read the values of triangles to make clear the trig functions.

Tan(C) = opposite over adjacent

Tan(C) = 7 /  9

Tan(C) = .77777777...

<C = tan-1(0.7777777...)

<C = 37.87

<C = 37.9

It's prob, It's kind of is the top left a SIx OR ZERO?!

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Answer:

y = 98

Step-by-step explanation:

y=21x−7

Let x=5

y = 21*5 -7

y =105-7

y =98

Answer:

To compare the times of Paul and Jeff, we need to convert Paul's time to seconds.

Paul's time = 2 minutes 2 seconds = (2 x 60) + 2 = 122 seconds

Now we can compare their times:

Paul's time: 122 seconds

Jeff's time: 121 seconds

Jeff finished first since he has the lowest time.

Answer: To compare the times of Paul and Jeff, we need to convert Paul's time to seconds:

2 minutes and 2 seconds = 2 × 60 seconds + 2 seconds = 122 seconds

Now we can compare their times:

Paul finished in 122 seconds

Jeff finished in 121 seconds

Since Jeff's time is lower than Paul's time, Jeff finished first.

Step-by-step explanation:

\(\sqrt{24}+\sqrt{27} ~~ \begin{cases} 24=2\cdot 2\cdot 2\cdot 3\\ \qquad 2^2\cdot 2\cdot 3\\ 27=3\cdot 3\cdot 3\\ \qquad 3^2\cdot 3 \end{cases}\implies \sqrt{2^2\cdot 2\cdot 3}+\sqrt{3^2\cdot 3} \\\\\\ 2\sqrt{2\cdot 3}+3\sqrt{3}\implies 2\sqrt{2}\cdot \sqrt{3}+3\sqrt{3}\implies \stackrel{\textit{common factoring}}{\underset{ \textit{\LARGE k} }{(2\sqrt{2}+3)} ~~ \sqrt{3}}\)

Answer:

Gina has 5 large shipping boxes and 6 small shipping boxes.

Step-by-step explanation:

32 items to ship and 11 shipping boxes.

Large=4 items

4 X 5 = 20

Small=2 items

2 X 6 = 12

20 + 12 = 32

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

Tο cοmplete the assignment, use the tried-and-true straightfοrward methοdοlοgy, the real variables, and any pertinent details frοm the preliminary and specialized questiοns. In respοnse, custοmers might be given anοther οppοrtunity tο range sample the prοducts. In the absence οf such changes, majοr advances in οur knοwledge οf prοgrammes will be lοst.

Here,

We must divide the tοtal cοst by the quantity οf cupcakes in οrder tο determine the unit cοst οf each οptiοn:

Twelve cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  Unit cοst: $29 fοr 12 cupcakes.

=>  $2.42 is the unit cοst per cupcake.

Tο make 24 cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=> 24 cupcakes equals $56 fοr the unit.

=>  $2.33 is the unit cοst per cupcake.

50 cupcakes =

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  $129 fοr a unit οf 50 cupcakes.

=>  Unit cοst: $2.58 fοr each cupcake

As a result, 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

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Answer:

Hence, the hourly rental fee is \(\$\: 12\).

Step-by-step explanation:

Time for which Roberto rented the truck \(=9\) hours.

Rental fee \(=\$ \:50\)

Time for which Allison rented the truck \(=4\) hours.

Rental fee \(=\$ \:110\)

Both companies have the same hourly rental fee.

Let the hourly rental fee of both the companies be \(x\).

Both spent the same amount.

So, according to the question,

\(\Rightarrow 50+9x=110+4x\)

\(\Rightarrow 9x-4x=110-50\)

\(\Rightarrow 5x=60\)

\(\Rightarrow x=\frac{60}{5}\)

\(\Rightarrow x=12\)

Hence, the hourly rental fee is \(\$\: 12\).

As per the concept of exponential decay, the initial mass of the sample is 5,254.87 kg

What is meant by Exponential decay:

In math, the term exponential decay is a very common process especially when we are talking about radioactive materials.

The standard  formula for this type of behavior which is written below:

A = Pe^-rt

where

A refers the amount left after time t

P refers the initial amount at t=0

r refers the rate

Here we have given that the mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of per day. a sample of this radioactive substance was taken six days ago.

And we need to find if the sample has a mass of today, then the initial mass of the sample.

Now, we have to substituting the values,

Then we get the equation as,

=> A = (9575 kg)(e^-0.12*5)

When we simplify this one, then we get,

=> A = 5,254.87 kg

Therefore, the initial mass of the sample is 5,254.87 kg

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The capacity of the mug is 1.2. The capacity of the mug can be found by using the equation C = (3/4) ÷ (5/8).

It is the maximum amount of output that can be produced in a given period of time. Capacity is usually expressed in terms of units per unit of time, such as gallons per minute or passengers per hour.

In this equation, 3/4 represents the amount of water in the mug, and 5/8 represents the amount the mug is full.

Let the capacity of the mug be x.

Given,

Mug is 5/8 full and contains 3/4 of water

So, 5/8 of the mug is filled with water

Therefore,

5/8 of x = 3/4

(5/8 )x = (3/4)

x = (3/4) × (8/5)

x = (24/20)

x = 1.2

Therefore, the capacity of the mug is 1.2.

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