A sanitation company charges $4 per bag for garbage for pick up plus a $10 weekly fee . A restaurant has 14 bags of garbage what will the company charge the restaurant for the week write an equation of the function ​

The expression for side of square bottom = b - 3, volume of rectangle is 4050 and the volume of a cage with a height of 15 inches is 2160.

What is a function ?

Function can be defined as which relates an input to output.

Given,

Volume of a Bird Cage. A company makes rectangular shaped bird cages with height b inches and square bottoms.

Height = b

Volume V = 6³-6b²+9b.

Length of each side (s) :

V = 6³-6b²+9b.

s^2 b  = b (b^2 - 6b + 9 )

s^2 = b^2 - 6b + 9

(a - b ) ^2 = a^2 + b^2 -2ab

s^2 = (b-3) ^2

s = b-3

height is 18 inches and height is given as b

Hence, b = 18

s= b-3 (from i)

= 18 - 3

s = 15

Therefore volume:

volume of rectangle = l x b x h

V= 18 x15 x15= 4,050

(If height = 15

then, b = 15

b -15 = 0

Definition of remainder theorem:

we divide a polynomial P(x) by a factor ( x – a); to find a smaller polynomial along with a remainder. The factor doesn't have to be a part of the polynomial.

b^3 - 6b^2 + 9b  /  b-15  = 2160

Therefore Volume with b = 15 is 2160

Therefore, The expression for side of square bottom = b - 3, volume of rectangle is 4050 and the volume of a cage with a height of 15 inches is 2160.

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According to the statement:

Mode measure of central tendency would be appropriate to summarize the measurements.

The correct option is B.

We can't use mean or median because they have no physical meaning, i.e., eyes that are somewhere between black and white.

When you need to use all of the data's values, you would use the mean. When you only need to use two values, such as the upper and lower values, you would use the median. And when ones data is unobservable, such as when you need to determine peoples' opinions, you would use the mode.

Add up all the values inside the data set, then divide by the total number of values to find the mean. List the data set's values in numerical order, and then find the value that sits in the middle of the list to determine the median. Choose the data set value that appears the most frequently to determine the mode.

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I understand that the question you are looking for is:

A researcher measures eye color for a sample of n = 50 people. Which measure of central tendency would be appropriate to summarize the measurements?​

Select one:

a. ​weighted mean

b. ​mode

c. ​median

d. ​mean

Answer:

800 ft

Step-by-step explanation:

You would have to multiply one girraf by 40 (40 x 20), then you would get 800.

    40

  x20

    00

+ 800

  800

a. The number of different license plates that can be printed is 1,296,000. b. The vehicle can be ordered in 84 different configurations. c. Jeffrey can make 189 different outfits with his jackets, shirts, trousers, and ties.


a. To calculate the number of different license plates that can be printed, we need to multiply the number of options for each character position.
For the first two characters (which can be letters or digits), there are 36 options each (26 letters + 10 digits).
For the next two characters, there are 10 options each (digits only).
For the last two characters, there are also 10 options each.
Therefore, the total number of different license plates that can be printed is:
36 * 36 * 10 * 10 * 10 * 10 = 1,296,000.

b. To calculate the number of configurations for the vehicle, we need to multiply the number of options for each category.
There are 7 options for exterior colors, 3 options for interior colors, and 4 options for option packages.
Therefore, the total number of configurations for the vehicle is:
7 * 3 * 4 = 84.

c. To calculate the number of different outfits Jeffrey can make, we need to multiply the number of options for each clothing item.
Jeffrey has 3 options for jackets, 3 options for shirts, 3 options for trousers, and 7 options for ties.
Therefore, the total number of different outfits Jeffrey can make is:
3 * 3 * 3 * 7 = 189.

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Answer:

  24.98 units

Step-by-step explanation:

You want the perimeter of triangle ABC with vertices A(-5, 4), B(1, -2), and C(3,6).

The distance between two vertices can be found using the formula ...

  d = √((x2 -x1)² +(y2 -y1)²)

The  distance between A and B is ...

  d = √((1 -(-5))² +(-2 -4)²) = √(6² +(-6)²) = 6√2 ≈ 8.485

The attached spreadsheet performs the same calculation on all the pairs of points. (The distance from each point to the one below it is listed.)

The perimeter of the triangle is the sum of the segment lengths. That is also shown in the spreadsheet.

  P = AB +BC +CA

  P = 8.485 +8.246 +8.246 ≈ 24.98

The perimeter of triangle ABC is about 24.98 units.

__

Additional comment

When calculations are repetitive, we like to let a spreadsheet do them.

Answer:

y=10/3

Step-by-step explanation:

Answer:

y = - \(\frac{24}{7}\)

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 6 when x = - 7

6 = - 7k ( divide both sides by - 7 )

- \(\frac{6}{7}\) = k

y = - \(\frac{6}{7}\) x ← equation of variation

When x = 4 , then

y = - \(\frac{6}{7}\) × 4 = - \(\frac{24}{7}\)

Answer:

3 3/4 tins of food

Step-by-step explanation:

Number of cats = 3

Quantity of food for each cat per day = 1/4 of a tin

Total tins of cat food sue bought = 4 tins

Has Sue bought enough cat food to feed her cats for 5 days?

Quantity of food 3 cats eat per day = Quantity of food for each cat per day × Number of cats

= 1/4 × 3

= 3/4 of a tin

Total Quantity of food 3 cats eat for 5 days = Quantity of food 3 cats eat per day × 5 days

= 3/4 × 5

= (3 * 5) / 4

= 15/4

= 3 3/4 tins of food

Total Quantity of food 3 cats eat for 5 days = 3 3/4 tins of food

Recall,

Total tins of cat food sue bought = 4 tins

Therefore, Sue bought enough cat food to feed her cats for 5 days

Answer: 4

Step-by-step explanation:

To get the slope we need two points that the lines passes through (-1,0) and (0,4)

we then calculate using the slope formula:

Slope = rise/run

= (4-0)/0- -1)

= 4/1

= 4

therefore, the slope of the line is 4

A very simple way to know the number of possible combinations in a binary number is given by the next formula:

Now, we should remember that an hexadecimal number contain 16 different digits, from 0 to F. Therefore

Thus, we will need 4 hexadecimal numbers to achieve the same values as a 16-bit number.

For the base-5 number we can do a similar procedure:

Therefore, we would need at least 7 numbers base-5 to achieve something similar to 16-Bit number

The roots have positive or same signs when c>0.

Note that only real numbers can be positive or negative. This concept does not apply to complex non real numbers. So first we have to make sure that the roots are real which occurs when discriminant is greater or equal to 0.

\(b^{2} -2ac > 0\\2^{2} -2(-1) (c) > 0\\4-2c > 0\\c > -2\)

Roots of quadrant equation have Samsame sign if product of roots >0.

\(\frac{a}{c} > 0\\\frac{c}{-1} > 0\\c < 0\)

Roots of quadratic equation have positive sign if product of roots<0.

c>0.

Combining results, we get:-

roots have positive signs when:-

c>0.

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Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

To determine the price of lohi corp., we need to calculate the present value of its future dividends. First, we estimate that the company will skip the next three annual dividends. This means that we will start receiving dividends from the fourth year. The first dividend to be paid is $1.00, and subsequent dividends will grow at a constant rate of 6 percent per year. The required rate of return on lohi corp. is 14 percent per year. This is the rate of return that investors expect to earn from investing in the company.

To calculate the price of Lohi Corp., we need to use the dividend discount model (DDM). The DDM formula is:

Price = Dividend / (Required rate of return - Dividend growth rate)

In this case, we know that Lohi Corp. will skip its next three annual dividends and then resume paying a dividend of $1.00. The dividend growth rate is 6% per year, and the required rate of return is 14% per year.

First, let's calculate the present value of the future dividends:

PV = (1 / (1 + Required rate of return))^1 + (1 / (1 + Required rate of return))^2 + (1 / (1 + Required rate of return))^3

PV = (1 / (1 + 0.14))^1 + (1 / (1 + 0.14))^2 + (1 / (1 + 0.14))^3

PV = 0.877 + 0.769 + 0.675

PV = 2.321

Next, let's calculate the price:

Price = (Dividend / (Required rate of return - Dividend growth rate)) + PV

Price = (1 / (0.14 - 0.06)) + 2.321

Price = (1 / 0.08) + 2.321

Price = 12.5

Therefore, the price of Lohi Corp. should be $12.50.

To calculate the expected capital gains yield over the next year, we need to use the formula:

Capital gains yield = (Dividend growth rate) / (Price)

Capital gins yield = 0.06 / 12.5

Capital gains yield = 0.0048

Convert to percentage:

Capital gains yield = 0.0048 * 100

Capital gains yield = 0.48%

Therefore, Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

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Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

To determine the price of lohi corp., we need to calculate the present value of its future dividends. First, we estimate that the company will skip the next three annual dividends. This means that we will start receiving dividends from the fourth year. The first dividend to be paid is $1.00, and subsequent dividends will grow at a constant rate of 6 percent per year. The required rate of return on lohi corp. is 14 percent per year. This is the rate of return that investors expect to earn from investing in the company.

To calculate the price of Lohi Corp., we need to use the dividend discount model (DDM). The DDM formula is:

\(Price = Dividend / (Required rate of return - Dividend growth rate)\)

In this case, we know that Lohi Corp. will skip its next three annual dividends and then resume paying a dividend of $1.00. The dividend growth rate is 6% per year, and the required rate of return is 14% per year.

First, let's calculate the present value of the future dividends:

\(PV = (1 / (1 + Required rate of return))^1 + (1 / (1 + Required rate of return))^2 + (1 / (1 + Required rate of return))^3\)

\(PV = (1 / (1 + 0.14))^1 + (1 / (1 + 0.14))^2 + (1 / (1 + 0.14))^3\)

\(PV = 0.877 + 0.769 + 0.675\)

PV = 2.321

Next, let's calculate the price:

\(Price = (Dividend / (Required rate of return - Dividend growth rate)) + PV\)

\(Price = (1 / (0.14 - 0.06)) + 2.321\)

Price = (1 / 0.08) + 2.321

Price = 12.5

Therefore, the price of Lohi Corp. should be $12.50.

To calculate the expected capital gains yield over the next year, we need to use the formula:

\(Capital gains yield = (Dividend growth rate) / (Price)\)

\(Capital gins yied = 0.06 / 12.5\)

Capital gains yield = 0.0048

Convert to percentage:

Capital gains yield = 0.0048 * 100

Capital gains yield = 0.48%

Therefore, Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

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Answer:

y=4x

Step-by-step explanation:

Answer:

y=5x

Step-by-step explanation:

Using mathematical operations we know that Nile and Bob travelled for 7 hours.

A mathematical function known as an operation converts zero or more input values into a precisely defined output value.

The quantity of operands affects the operation's arity.

The order of operations is a rule that outlines the proper steps to take when analyzing a mathematical equation.

We can recall the PEMDAS steps in the following order: Parentheses, Exponents, Multiplication, Division (from Left to Right), Addition, and Subtraction (from left to right).

So, we know that both Nile and Bob sailed same time and for the same length:

NIle: 42 miles at a speed of 6mph

Bob: 98 miles at the speed of 14mph

Time for which Nile and Bob were traveling are:

Nile: 42/6 = 7 hours

Bob: 98/14 = 7 hours

Therefore, using mathematical operations we know that Nile and Bob travelled for 7 hours.

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The closest surface area of the container is: 1,696 ft².

Curved surface area of a cone = πrl

Surface of a cylinder = 2πr(h + r)

Surface area of the container = Curved surface area of a cone + Surface of a cylinder - area of circular base

= πrl + 2πr(h + r) - πr²

r = 24/2 = 12 ft

l = 13 ft

h = 10 ft

Plug in the values

Surface area of the container = π(12)(13) + 2π×12(10 + 12) - π(12²) = 1,696.5 ft².

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The surface area of a rectangular prism is found as 150 square inches.

A rectangular prism is a polyhedron in geometry that has two parallel and congruent bases. It also goes by the name cuboid. Six faces make up a rectangular prism, and each face has a rectangle shape and twelve edges.

Actually, prisms get their name from the way their faces are shaped. Therefore, a rectangular prism is just a prism with rectangular faces. Although it is a closed, three-dimensional object, two rectangles serve as its foundation.

Calculation for the surface area of rectangular prism-

Height of a rectangular prism => H = 4 inches

Width of a rectangular prism => B = 9 inches

Length of a rectangular prism => L = 3 inches

Surface area of a rectangular prism = 2(LB + BH + HL)

                                                           = 2(9×3 + 9×4 + 4×3)

                                                           = 150

Therefore, the surface area of a rectangular prism is found as  150 square inches.

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The statement is false because adding a vector to a set of vectors can increase its span, but the new span is not necessarily the same as the original span.

The statement is false. To prove this, consider three vectors u1, u2 and u3 that span R3, and a vector u4 that is not a linear combination of

u1, u2 and u3.

The span of

{u1, u2, u3, u4}

will be a subset of the span of

{u1, u2, u3}.

This means that the span of

{u1, u2, u3, u4}

will contain all the vectors that the span of {u1, u2, u3} contains, plus the vector u4. However, it does not necessarily mean that the span of

{u1, u2, u3, u4} will be the same as the span of {u1, u2, u3},

as there may be other vectors that are in the span of

{u1, u2, u3, u4}

but not in the span of {u1, u2, u3}. Hence, the statement is false.

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The complete question is

Determine if the statement is true or false, and justify your answer. If (u1, u2, u3) spans R3, then so does (u1, u2, uz, u). O False. Consider u4 =0 True, the span of a set of vectors can only increase (with respect to set containment) when adding a vector to the set. O True, since the span of {ul, u2, u3, u4} is a subset of the span of {u1, u2, us), O False. Consider u4 = 0. The span of {u1, u2, u3, u4} is a subset of the span of {u1, u2, us}, but the span of {u1, u2, u3, u4} is not the same as the span of {u1, u2, us}.

A permutation is an arrangement of objects in a specific order, whereas a combination is a selection of objects without regard to their order.

To determine if a problem is a permutation or combination, you need to consider whether order matters.

The formula for permutations is nPr = n! / (n - r)!, where n is the total number of items and r is the number of items being chosen at a time. For example, if you had six books and wanted to know how many permutations of three books you could choose, the formula would be 6P3 = 6! / (6 - 3)! = 6 * 5 * 4 / 3 * 2 * 1 = 120.

The formula for combinations is nCr = n! / (r! * (n - r)!), where n is the total number of items and r is the number of items being chosen at a time. For example, if you had six books and wanted to know how many combinations of three books you could choose, the formula would be 6C3 = 6! / (3! * (6 - 3)!) = 6 * 5 * 4 / (3 * 2 * 1 * 3 * 2 * 1) = 20

Therefore, if the order of the objects matters, it is a permutation. If the order does not matter, it is a combination.

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Answer:

84

Step-by-step explanation:

To find the length of the image \(\overline{G'H'}\), multiply the length of the preimage \(\overline{GH}\) by the scale factor of \(4\).

Answer: BEAST MODE BABY MESSED WITH THE WRONG GUY

Step-by-step explanation:

Based on the given coordinates, we can determine that quadrilateral QRST is a rectangle. This can be shown by calculating the distances between the points and showing that opposite sides are equal in length and that the diagonals are also equal in length.

The distance between points Q and R is sqrt((3 - (-2))^2 + (6 - 2)^2) = sqrt(25 + 16) = sqrt(41). The distance between points S and T is sqrt((3 - 8)^2 + (-2 - 2)^2) = sqrt(25 + 16) = sqrt(41). So, QR = ST.

The distance between points R and S is sqrt((8 - 3)^2 + (2 - 6)^2) = sqrt(25 + 16) = sqrt(41). The distance between points Q and T is sqrt((3 - (-2))^2 + (-2 - 2)^2) = sqrt(25 + 16) = sqrt(41). So, RS = QT.

The distance between points Q and S is sqrt((8 - (-2))^2 + (2 - 2)^2) = sqrt(100 + 0) = 10. The distance between points R and T is sqrt((3 - 3)^2 + (6 - (-2))^2) = sqrt(0 + 64) = 8. So, QS = RT.

Since opposite sides are equal in length and the diagonals are also equal in length, quadrilateral QRST is a rectangle.

The probability of all five people are still living is 0.1317.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability (Event) = Favorable Outcomes/Total Outcomes = x/n

Let us check simple application of probability to understand it better. Suppose we have to predict about the happening of rain or not. The answer to this question is either "Yes" or "No". There is a likelihood to rain or not rain. Here we can apply probability. Probability is used to predict the outcomes for the tossing of coins, rolling of dice, or drawing a card from a pack of playing cards.

As per the given data,

Probability of a person living in these conditions for 30 years or more\($=p=2 / 3$\)

Total number of samples\($=n=5$\)

Let \($X$\) be the number of people living.

\($X \sim \\) Binomial \((n=5, p=2 / 3)$\)

Probability mass function of \($X$\)  :

\($$P(X=x)=\left(\begin{array}{l}n \\x\end{array}\right) p^x(1-p)^{n-x}$$\)

a) Probability that all five people are still living:

\($$P(X=5)=\left(\begin{array}{l}5 \\5\end{array}\right)\left(\frac{2}{3}\right)^5\left(1-\frac{2}{3}\right)^{5-5}=0.1317$$\)

b) Probability that at least three people are still living:

\($$P(X=5)=\left(\begin{array}{l}5 \\5\end{array}\right)\left(\frac{2}{3}\right)^5\left(1-\frac{2}{3}\right)^{5-5}=0.1317$$\)\($$\begin{aligned}& P(X \geq 3)=P(X=3)+P(X=4)+P(X=5)=\left(\begin{array}{l}5 \\3\end{array}\right)\left(\frac{2}{3}\right)^3\left(1-\frac{2}{3}\right)^{5-3}+ \\& \left(\begin{array}{l}5 \\4\end{array}\right)\left(\frac{2}{3}\right)^4\left(1-\frac{2}{3}\right)^{5-4}+\left(\begin{array}{l}5 \\5\end{array}\right)\left(\frac{2}{3}\right)^5\left(1-\frac{2}{3}\right)^{5-5} \\& =0.7902 \\&\end{aligned}$$\) c) Probability that exactly two people are still living:

\($$P(X=2)=\left(\begin{array}{l}5 \\2\end{array}\right)\left(\frac{2}{3}\right)^2\left(1-\frac{2}{3}\right)^{5-2}=0.1646$$\)

Therefore, the probability of all five people are still living is 0.1317.

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In Problem 4, there are (i) 495 different possible orders for the group when they collectively order four different dishes to share, and (ii) 20,736 different possible orders for the group when each individual orders a main course.

(i) To find the number of ways to order four different dishes out of 12, we use combinations. This is calculated as C(12,4) = 12! / (4! * (12-4)!), which equals 495 possible orders.

(ii) Since there are 12 dishes and each of the four friends can choose any dish, we use permutations. The number of possible orders is 12⁴, which equals 20,736 different orders.

For passwords, there are (i) 306,380,448 passwords of length 7 with at least one digit, and (ii) 282,475,249 passwords of length 7 with at least one digit and one letter.

(i) There are 10 digits and 26 lowercase letters. Total possibilities are (10+26)⁷. Subtract the number of all-letter passwords: 26^7. Result is (36⁷) - (26⁷) = 306,380,448.

(ii) Subtract the number of all-digit passwords from the previous result: 306,380,448 - (10⁷) = 282,475,249 different passwords.

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Answer:

x = 1

Explanation:
The value of the first bracket of numbers without the x is 9 and 2 for the second also without the x. 9 is divisible to get 3, and 1 can add to 2 to get 3. Since 1 will not affect 4x + 5 due to 1 being the multiplicative identity, this equation is simply (4 + 5)/(1 + 2) to 9 ÷ 3, which is 3. So x equals to 1.

Hope this helps !!

To write an expression that selects all words with at least five letters from a list, you can use a list comprehension in Python and that are word, list, filtered, for, kite.

List comprehensions provide a concise way to create new lists by filtering or modifying elements from an existing list.
Here's an example using the words you provided:
```python
words_list = ['being', 'for', 'the', 'benefit', 'of', 'mister', 'and', 'kite']
filtered_words = [word for word in words_list if len(word) >= 5]
```

In this example, the list comprehension iterates through each word in `words_list` and checks if its length (`len(word)`) is greater than or equal to 5. If the condition is met, the word is added to the new `filtered_words` list. The result will be `['being', 'benefit', 'mister']`, which are the words with at least five letters in the original list.

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Answer:

C: ratio of the horizontal change to the vertical change of a line

Step-by-step explanation:

A and B are correct.

C is incorrect.

Answer:

f = - \(\frac{19}{7}\)

Step-by-step explanation:

Given f varies directly with m then the equation relating them is

f = km ← k is the constant of variation

To find k use the condition f = - 19 when m = 14

- 19 = 14k ( divide both sides by 14 )

- \(\frac{19}{14}\) = k

f = - \(\frac{19}{14}\) m ← equation of variation

When m = 2 , then

f = - \(\frac{19}{14}\) × 2 = - \(\frac{19}{7}\)

FALSE. The number of degrees of freedom in cross-tabulation data is calculated by subtracting 1 from the product of the number of rows and columns.

Therefore, in this case, the number of degrees of freedom would be (3-1) x (4-1) = 6.

Degrees of freedom refer to the number of independent pieces of information in a data set, which can be used to calculate statistical significance and test hypotheses.

In cross-tabulation, degrees of freedom indicate the number of cells in the contingency table that are not predetermined by the row and column totals.

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Answer:

4 IS THE ANSWER MATE

Step-by-step explanation:

Absolutely, I can do that!

Let's take a look at each statement:

1) f(x) has a y-intercept at (0,2)

To find the y-intercept, we need to set x to 0 and solve for y. Plugging in x = 0 into the equation for f(x), we get:

f(0) = -log(0+4) + 2

f(0) = -log(4) + 2

f(0) = -0.602 + 2

f(0) = 1.398

Since the y-coordinate of the y-intercept is 1.398, not 2, this statement is false.

2) The function -f(x) has a y-intercept at (0,2)

Since the negative sign in front of f(x) reflects the graph of f(x) across the x-axis, we can determine the y-intercept of -f(x) by taking the opposite of the y-intercept of f(x). Since the y-intercept of f(x) is not 2, this statement is also false.

3) As x approaches positive infinity, the function f(x) approaches negative infinity.

The function f(x) is a logarithmic function with a negative coefficient, which means it approaches negative infinity as x approaches positive infinity. Therefore, this statement is true.

4) As x approaches -4 from the right, the function f(x) approaches negative infinity.

As x approaches -4 from the right, the value of f(x) becomes more and more negative without bound, which means that f(x) approaches negative infinity as x approaches -4 from the right. Therefore, this statement is also true.

In summary, statements (1) and (2) are false, while statements (3) and (4) are true.

============================================================

Explanation:

V is the circumcenter of the triangle PQR, which means that it's the center of the circle that goes through points P, Q, and R.

Furthermore it means

PV = QV = RV

as they are all radii of circle V.

We only really need to focus on PV = RV.

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

We're given that RV = 78, which then points us to PV = 78 as well.

We're also given that UV = 30.

Segment PU is the missing piece of right triangle PUV.

As you can probably guess, we'll use the pythagorean theorem to find this missing side.

a^2+b^2 = c^2

(PU)^2 + (UV)^2 = (PV)^2

(PU)^2 + (30)^2 = (78)^2

(PU)^2 + 900 = 6084

(PU)^2 = 6084 - 900

(PU)^2 = 5184

PU = sqrt(5184)

PU = 72