2. The translation (x, y) → (x + 3, y-7) maps TUVW onto T'U'V'W'. What translation maps
TU'V'W' onto TUVW?
O(x,y) → (x+3, y-7)
O(x,y) → (x-7, y + 3)
O(x,y) → (x+7,y-3)
O(x,y) → (x-3, y+7)

Assuming a linear relationship, the missing value in the table above is equal to 3.

A linear equation can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).

By critically observing the values in the table above, we can logically deduce that there exist a linear relationship between the data set. Therefore, the value of x increases by 1 while the value of y increases by 3.

Also, we can determine the slope of the given data set as follows:

Slope = Δy/Δx

Slope = (7 - 4)/(2 - 1)

Slope = 3/1

Slope = 3.

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The value of the expression [tex]\frac{2+\sqrt{5} }{\sqrt{5} }[/tex] after rationalizing the denominator is [tex]\frac{2\sqrt{5}+5 }{5}[/tex].

A finite collection of symbols that is well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Rationalizing the denominator is the process of shifting a root, such as a square root or a cube root, from the fraction's denominator to its numerator (numerator).

The numerator is the part of a fraction that comes before the vinculum.

The denominator of a fraction is the phrase that comes before the vinculum.

Consider the expression,

[tex]\frac{2+\sqrt{5} }{\sqrt{5} }[/tex]

Now, let [tex]y=\frac{2+\sqrt{5} }{\sqrt{5} }[/tex]

To rationalize the denominator we multiply and divide the expression by √5.

[tex]y=\frac{2+\sqrt{5} }{\sqrt{5} } \times \frac{\sqrt{5} }{\sqrt{5} }[/tex]

[tex]y=\frac{2\sqrt{5}+(\sqrt{5} )^{2} }{(\sqrt{5} )^{2}}[/tex]

[tex]y=\frac{2\sqrt{5}+5 }{5}[/tex]

The value of the expression when rationalized [tex]\frac{2+\sqrt{5} }{\sqrt{5} }[/tex] is [tex]\frac{2\sqrt{5}+5 }{5}[/tex].

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Answer:

B

Step-by-step explanation:

the total number of adult/ children tickets sold was 95 , then

a + c = 95

the ticket sales totalled $1380 , then

9a + 16c = 1380

the system of equations is

a + c = 95 , 9a + 16c = 1380

Answer:

37.5

Step-by-step explanation:

    37.5

4 | 150.0

  - 12 ↓

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

      30.0

    - 28 ↓

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

         20

       - 20

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

            0

I hope this helps!

Answer: (^ represents the exponent)

a) 10^x-1

b) 10^4x

c) c^6

Step-by-step explanation:

a) When you divide powers, you subtract their exponents. Since c = 10^x and it is being divided by 10^1, it would be the equivalent of 10^x-1

b) c= 10^x. c^4 would be equal to (10^x)^4 or [tex](10^{x})^{4}[/tex]. When powers are placed this way, you multiply their exponents. For instance [tex](3^{2})^{4}[/tex] would be [tex]3^{8}[/tex].

C) This is the same concept as part b, but reversed. 10^6x is equal to (10^x)^6, which is equal to c^6.

Answer:

It will cost $1,645 to recarpet the room

Step-by-step explanation:

room 5 meters by 7 meters is 35 m^2

Therefore, 35*47.00 = $1,645

Answer:

Step-by-step explanation:

Answer:

Bro Im not gonna give u answer but im gonna give hint. I think u should make a chart with all possibilties and see how many of them can add upt o 11.

The average elevation of Louisiana denoted as an integer is -8 feet.

An integer is a real number which is not a fraction. Examples of integers are -4,0,7,26.

The elevation above sea-level of a place is represented by a number and it is calculated by length above or below the average water level of all water bodies on earth.

Places above sea level are denoted by a positive numbers while places below the average sea-level are denoted by negative numbers.

Here the height of Louisiana is 8 feet below the sea-level , so to denote the height of Louisiana we us the negative integer -8 feet.

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Answer:

liam will have 7 chairs leftover

Step-by-step explanation:

Answer:

y = x - 3.

Step-by-step explanation:

We use the point-slope form of the straight line:

y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line.

So, for this line we have:

y - (-1) = 1(x - 2)

y + 1 = x - 2

y = x - 2 - 1

y = x - 3.

The option B , which says that the mean of the two data sets are equal is the correct statement.

To answer the question we need to understand the meaning of a boxplot

A boxplot is a standardized way of showing the distribution of data based on a five number summary minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

According to the problem showed in question ,

As we can see from the two box plots that the mean for both the box plots is less than 80 but greater than 75.

Hence we can say that the mean of the two given data sets are equal

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Answer: 254

Step-by-step explanation:

89 + 38 x 2

89 + 38 = 127

127 x 2 = 254

Answer:

x = 28.75

Step-by-step explanation:

RZ and RT will have the same length since Z is a midpoint

8x - 10 = 220

Add 10 to both sides

8x = 230

Divide both sides by 8

x = 28.75

The answer to the expression -160=6x-8(5x+3)  is x = 4.

An expression is written in the form of variables and constants combined with arithmetic operations. There are many types of expressions in mathematics they are algebraic expressions, logarithmic expressions, trigonometric expressions, and many more.

The given expression - 160 = 6x - 8(5x+3) can be writen as,

6x - 8(5x+3) = -160.

First, we will distribute what is inside the brackets.

∴ 6x - 40x - 24 = -160.

-34x = -160 + 24.

-34x = -136.

34x = 136.

x = 136/34.

x = 4.

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The circumference of the circle with the radius is 50.24 inches

The figure represents the given parameter

On the figure, we have the diameter (d) to be

d = 16 inches

The radius of the circle is calculated using

r = d/2

So, we have

r = 16/2

Evaluate the quotient

r = 8

The circumference of the circle is then calculated as

C = 2πr

Where π is given as

π = 3.14

So, we have

C = 2 * 3.14 * 8

Evaluate the product

C = 50.24

Evaluate the product

C = 50.24

Hence, the circumference of the circle with the radius is 50.24 inches

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The side AC is 8.5 cm.

We know that a triangle is a polygon that has three sides. There are so many kinds of triangle such as;

In this case what we have is a right angled triangle ABC. Having seen this, we now have to find the side that has been marked AC in the triangle shown.

In this case, we are required to obtain the side that has been marked as AC and we have to use the given side AB and the angle that is given as angle BAC.

Now;

AB = 11 cm

Angle BAC = 39 degrees

AC = unknown

Thus we now have to make use of the trigonometric ratios;

Cos θ = opposite/ adjacent

opposite = AC

Adjacent = 11 cm

AC= 11 cm cos 39 degrees

AC = 8.5 cm

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The number of adult tickets sold for $50 is 990 and the number of children tickets sold for $10 is  450

How do we represent adult tickets and children's tickets?

The adult tickets can be represented by x whereas the children's tickets are represented by y, hence, the sum of x and y gives 1440 tickets

x+y=1440.......... equation 1

50x+10y=54000........ equation 2

solve for x in equation 1

x=1440-y

substitute for x in equation 2

50(1440-y)+10y=54000

72000-50y+10y=54000

72000-54000=50y-10y

18000=40y

y=18000/40

y=450

x+y=1440

x+450=1440

x=1440-450

x=990

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Y = x*-0.25

Hope this helps.

The change in position from the shaded figure to the unshaded figure is best described as a translation.

A translation transformation is such that the entire shape is copied and then this copy is moved to another part of the graph.

In a translation, the size of the shape does not change. Other things that don't change include the orientation of the shape. It remains the exact same, but in a new location.

The shape, size and orientation of the shaded figure is the same as the unshaded figure so this is a translation.

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Using it's concept, the range of the function is given as follows:

0 ≤ m ≤ 1200.

The range of a function is the set that contains all possible output values for the function.

For this problem, we have to consider these two bullet points next, considering the mass is the output value of the function.

Considering these masses, the range of the function is given as follows:

0 ≤ m ≤ 1200.

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No, when finding the difference in elevations we should not consider only the absolute value of the difference because elevation differences can give a negative value as well.

Absolute value describes the distance from zero that a number is on the number line, without considering direction.

We know that while measuring elevation there can be a positive value which means that the distance measured is above sea level and there can also be a negative value elevation which means that the distance measured is below sea level.

For example:

If we are measuring the difference in distance of two points below sea level.

One point is at -6 feet

Another point is at -14 feet

The difference between these points is:

= -14 - (-6)

= -14 + 6

= -8

We can have a negative difference in elevation but the absolute value will always give a positive value.

Therefore,

No, when finding the difference in elevations we should not consider only the absolute value of the difference because elevation differences can give a negative value as well.

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Answer:

5/32, 5/64, 5/128

Step-by-step explanation:

Multiply the denominator by 2

Answer:

3/11

Step-by-step explanation:

divide each side by 2

Answer:

3/11

Step-by-step explanation:

Let's simplify the value,

→ 6/22

→(6 ÷ 2)/(22 ÷ 2)

→ 3/11

Thus, the value is 3/11.

Answer:

a

Step-by-step explanation:

Answer:

I believe b but not 100%

Step-by-step explanation:

xoxo

The functions that model the two discounts will be given as R (x) = 5 x and M (y) = 0.15 y.

We are given that:

Rebate a customer receives if he buys a regular priced CD at $ 13 each = $ 5.

If a customer registers for the store member, he get a discount = 15 %.

Now, let the regular priced CD purchased be x and the application for store member be y.

So, the functions will become:

For rebate:

R (x) = 5 x

For discount:

M (y) = 15 % of x

M (y) = 0.15 x

Therefore, we get that, the functions that model the two discounts will be given as R (x) = 5 x and M (y) = 0.15 y.

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The probability that the first child of Clara and Charles will be a boy with hemophilia is 1/4.

It shouldbe noted the dominant and recessive alleles is given as H and h. It should be noted that A and a also represent the tyrosinase alleles.

The father of Clara had hemophilia.

Therefore, the probability that the first child of Clara and Charles will be a boy with hemophilia will be:

= 1/2 × 1/2

= 1/4.

Therefore, the probability is 1/4.

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In humans, hemophilia (OMIM 306700) is an X-linked recessive disorder. The dominant and recessive alleles represented by H and h . Albinism is an autosomal recessive condition . A and a represent the tyrosinase alleles. A healthy woman named Clara (II-2), whose father (I-1) has hemophilia and whose brother (II-1) has albinism, is married to a healthy man named Charles (II-3), whose parents are healthy. Charles's brother (II-5) has hemophilia, and his sister (II-4) has albinism. The pedigree is shown.

Determine the probability that the first child of clara and charles will be a boy with hemophilia.

Answer:

9/24 and 21/56

Step-by-step explanation:

9/24 = 0.375 or 3/8

21/56 = 0.375 or 3/8