11
One centimetre is 10 millimetres, one litre is 1,000 cubic centimetres. How many cubic
millimetres are there in a litre?
This is a screen shot from the Halfords web site describing a cuboid shaped water carrier.
Halfords Water Carrier - 20 Litres
. Durable water storage carrier with tap
• 20 litre storage capacity
.
•
Measurements-(L) 37.5cm (W) 16cm (H) 28cm
Simple rinse with warm water and washing up liquid prior to first use
(a) Modern specifications require dimensions in millimetres. Convert the dimensions
to millimetres.
(b) The "20 litres" may be incorrect. Use the dimensions given to estimate the
volume of water it holds.
(c) A cubic centimetre of water weighs one gram. Estimate the weight of a full
carrier in Kilograms
JAZZLE

The surface area of the complex solid is 530 square yards.

In this problem we need to determine the surface area of the complex solid, that is, the sum of the area of all faces of the solid. The area formulas required to find the surface area is:

A = w · h

Where:

The surface area of the complex solid is:

A = 2 · (11 yd) · (3 yd) + 2 · (4 yd)² + (12 yd) · (11 yd) + (12 yd) · (3 yd) + (12 yd) · (7 yd) + 2 · (4 yd) · (12 yd) + (12 yd) · (7 yd)

A = 66 yd² + 32 yd² + 132 yd² + 36 yd² + 84 yd² + 96 yd² + 84 yd²

A = 530 yd²

To learn more on surface areas of solids: https://brainly.com/question/31126484

#SPJ1

Answer:

AB= 7.45

Anwer C)

Step-by-step explanation:

Cos (angle) = Nearest side / Huypothenuse

Cos(20)      = 7 / AB

Cos(20) * AB = (7 /AB) * AB

Cos (20) * AB = 7

(Cos(20) *AB) / Cos(20) = 7 / Cos(20)

AB = 7 / cos(20)

AB=    7.45

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

For more such questions on volume

https://brainly.com/question/1972490

#SPJ8

[tex]5^(1/1)[/tex] is equivalent to 5, as no change is made to the value of 5.

The expression that represents 5 in rational exponent form is [tex]5^(1/1).[/tex]

In rational exponent form, we express a number or variable raised to a rational exponent, where the numerator represents the power and the denominator represents the root.

For the number 5, when we write it in rational exponent form as[tex]5^(1/1)[/tex], it means we are taking the 1st root (which is the same as saying no root at all) of 5 raised to the power of 1.

The numerator 1 represents the power, which indicates that we are not changing the value of 5, as any number raised to the power of 1 is itself. The denominator 1 represents the root, which is 1st root or no root at all, meaning we are not taking any root of 5.

It's worth noting that any number raised to the power of 1 is always equal to the number itself. So, [tex]5^(1/1)[/tex] simplifies to 5, representing 5 in rational exponent form.

for more such questions on rational exponent

https://brainly.com/question/30661911

#SPJ8

Answer:

$15.00 per day and $0.22 per mile.

Step-by-step explanation:

To determine the daily fee and mileage fee charged by Best Rentals, we can set up a system of equations based on the given information.

Let's assume the daily fee is represented by "d" and the mileage fee is represented by "m."

For Mateo:

3d + 300m = 111.00

For Dara:

5d + 600m = 207.00

Now we can solve this system of equations to find the values of "d" and "m."

Multiplying the first equation by 2 to eliminate "m," we get:

6d + 600m = 222.00

Subtracting the second equation from this equation, we have:

(6d + 600m) - (5d + 600m) = 222.00 - 207.00

d = 15.00

Substituting the value of "d" into the first equation, we can solve for "m":

3(15.00) + 300m = 111.00

45.00 + 300m = 111.00

300m = 111.00 - 45.00

300m = 66.00

m = 0.22

Therefore, Best Rentals charges $15.00 per day and $0.22 per mile.

The candy bar would cost approximately $1.18 after 13 years with a 7% price increase each year.

To calculate the cost of the candy bar after 13 years with a 7% price increase each year, we can use the formula:

Cost after n years = Initial cost × (1 + Percentage increase/100)^n

Given that the initial cost of the candy bar is $0.60 and the percentage increase is 7%, we can substitute these values into the formula:

Cost after 13 years = $0.60 × (1 + 7/100)^13

Now, let's perform the calculations:

Cost after 13 years = $0.60 × (1 + 0.07)^13

Cost after 13 years = $0.60 × (1.07)^13

Cost after 13 years ≈ $0.60 × 1.967151

Cost after 13 years ≈ $1.18

Therefore, the candy bar would cost approximately $1.18 after 13 years with a 7% price increase each year.

for such more question on cost

https://brainly.com/question/25109150

#SPJ8

Question

A candy bar that originally sold for $.60 undergoes a 7% price increase each year. How much would it cost after 13 years

The solution to the system of equations: y = 2x + 5 and y = x + 1 is x = 1 and y = 2.

Linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable raised to the power of 1. In other words, it represents a straight line when graphed on a coordinate plane.

The general form of a linear equation is:

ax + by + c = 0

Here, "x" and "y" are variables, and "a," "b," and "c" are constants.

For example, the equation y = 2x + 3 is a linear equation with one variable (x) and represents a straight line on a graph. The coefficients 2 and 3 determine the slope and y-intercept of the line, respectively.

Learn more about linear equation here:

https://brainly.com/question/28732353

#SPJ1

"X∧Y = ∧{X,Y}" indicates that the intersection of sets X and Y is equivalent to the intersection of all the sets contained in {X,Y}.

In the given question, "X∧Y = ∧{X,Y}" represents the intersection of sets X and Y.

The symbol "∧" denotes the intersection of two sets, which is the set of elements that are common to both sets. When we say "X∧Y," it means the intersection of sets X and Y, which consists of all the elements that belong to both X and Y.

On the other hand, "{X,Y}" represents a set containing the sets X and Y as its elements. So, "∧{X,Y}" refers to the intersection of all the sets in the set {X,Y}.

To clarify further, suppose X = {1, 2, 3} and Y = {2, 3, 4}. In this case, X∧Y would be {2, 3} because these elements are common to both sets X and Y. Similarly, if we consider the set {X,Y} = {X, Y}, then "∧{X,Y}" would mean the intersection of X and Y, which is again {2, 3}.

For more such questions on intersection

https://brainly.com/question/29185601

#SPJ8

Step-by-step explanation:

As my previous answer got deleted for being wrong (in which it was right), I will answer again.

The answer is 1. Why? Just plug it into the equation. F(1) = 2(1) + 5 = 7.

This is proof that it is right, and that there are some corrupt admins on brainly.

How to get to this solution?

Well notice how we are given what f(a) is. It is 2a + 5. So plug this in for f(a).

If we do so, we get 2a + 5 = 7.

Solving this equation, we get a = 1.

b(i) The possibilities for set C can be:

C = {r}

C = {r, p}

C = {r, q}

C = {r, s}

C = {r, t}

C = {r, p, q}

C = {r, p, s}

C = {r, p, t}

C = {r, q, s}

C = {r, q, t}

C = {r, s, t}

C = {r, p, q, s}

C = {r, p, q, t}

C = {r, p, s, t}

C = {r, q, s, t}

C = {r, p, q, s, t}

b(i). The probability of selecting any particular set C from the possibilities listed is 1/16.

c. The probability that B ∩ C = 0 is 1/16.

Given the information:

Universal set: {p, q, r, s, t}

A = {q, r, s}

B = {p, q, t}

A ∩ C = {r}

(b) To find the possibilities for set C, consider the elements that are common to set A and set C, as indicated by A ∩ C = {r}.

The elements in set C can be any subset of the universal set that contains the element "r".

Therefore, the possibilities for set C can be:

C = {r}

C = {r, p}

C = {r, q}

C = {r, s}

C = {r, t}

C = {r, p, q}

C = {r, p, s}

C = {r, p, t}

C = {r, q, s}

C = {r, q, t}

C = {r, s, t}

C = {r, p, q, s}

C = {r, p, q, t}

C = {r, p, s, t}

C = {r, q, s, t}

C = {r, p, q, s, t}

(b) If one of the possibilities for set C is selected at random, there are a ⁴otal of 24 = 16 possible subsets of the universal set. Therefore, the probability of selecting any particular set C from the possibilities listed in part (a) is 1/16.

(c) We need to find the probability that set B ∩ C = 0.

From the possibilities for set C listed above, the only set C that satisfies this condition is C = {r}.

Therefore, the probability that B ∩ C = 0 is 1/16.

Learn more about sets at: https://brainly.com/question/13458417

#SPJ1

Answer:

Hi

Step-by-step explanation:

Please paste your question so I can solve it

Thanks

• To find the zero you have to set each factor equal to zero and solving for the variable...

(i) x – 3

setting factor equal to zero,

→ x – 3 = 0

→ x = 0 + 3

→ x = 3

(ii) 2x + 1

setting factor equal to zero,

→ 2x + 1 = 0

→ 2x = –1

→ x = -½

(iii) 5x – 10

setting factor equal to zero,

→ 5x - 10 = 0

→ 5x = 10

→ x = 10/5

→ x = 2

(iv) x - √5

setting factor equal to zero,

→ x - √5 = 0

→ x = √5

The zeros of each factor are given as follows:

The factor theorem states that a function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

On the other side, if x - a is a linear factor of the function, x = a is a zero of the function.

Hence the zeros of each linear factor are given as follows:

More can be learned about the Factor Theorem at brainly.com/question/24729294

#SPJ1

1) The area of a circle circumscribed about a square is 307.7 cm².

2.a.) The angle ACB is 39 degrees.°.

2b.) The value of x is 5.42.

We shall find the radius to determine the area of a circle.

First,  find the side length of the square:

Since the perimeter of the square = 56 cm, then, each side of the square is 56 cm / 4 = 14 cm.

Next, find the diagonal of the square, using the Pythagorean theorem:

Diagonal = the diameter of the circumscribed circle.

Diagonal² = side length² + side length²

= 14 cm² + 14 cm²

= 196 cm² + 196 cm²

= 392 cm²

Take the square root of both sides:

Diagonal = √392 cm ≈ 19.80 cm (rounded to two decimal places)

Then, the radius of the circle which is half the diagonal:

Radius = Diagonal / 2 ≈ 19.80 cm / 2 ≈ 9.90 cm (rounded to two decimal places)

Finally, compute the area of the circle using the formula:

Area = π * Radius²

Area = 3.14 * (9.90 cm)²

Area ≈ 307.7 cm² (rounded to two decimal places)

Therefore, the area of the circle that is circumscribed about a square with a perimeter of 56 cm is 307.7 cm².

2. a) We use the property of angles in a circle to solve for angle ACB: an angle inscribed in a circle is half the measure of its intercepted arc.

Given that arc AB has a measure of 78°, we can find angle ACB as follows:

Angle ACB = 1/2 * arc AB

= 1/2 * 78°

= 39°

Therefore, the angle ACB is 39 degrees.

2b.) To solve for the value of x, we use the information that the angle ADB =  (3x - 12)⁴.

Given that angle ADB is (3x - 12)⁴, we can equate it to the measure of the intercepted arc AB, which is 78°:

(3x - 12)⁴ = 78

Solve the equation for x, by taking the fourth root of both sides:

∛∛((3x - 12)⁴) = ∛∛78

Simplify,

3x - 12 = ∛(78)

Isolate x by adding 12 to both sides:

3x - 12 + 12 = ∛(78) + 12

3x = ∛(78) + 12

Finally, divide both sides by 3:

x = (∛(78) + 12) / 3

x = (4.27 +12) / 3

x = 5.42

So, x is 5.42

Therefore,

1) The area of the circle is 154 cm².

2a.) Angle ACB is equal to 102°.

2b.) The value of x is 5.42

Learn more about the area of a circle at brainly.com/question/12374325

#SPJ1

so we have a base, hmmm which is 21, now is a base so that's area, not length, so we're assuming is 21 meters² and it has a height of 12 meters.

Let's nevermind the 12 meters in height, we know the pool has a base of 21 m² and if it's filled up to 3 meters, the volume of that triangular prism is simply the product of the base and the height of 3 meters, so (21 m²)(3 m) = 63 m³.

The Width of Joseph's sandbox is 15.2 meters.

The width of Joseph's sandbox, we need to use the formula for the perimeter of a rectangle:

Perimeter = 2 * (Length + Width)

Given that the perimeter is 400.8 meters and the length is 185.2 meters, we can substitute these values into the formula:

400.8 = 2 * (185.2 + Width)

To solve for the width, we can start by simplifying the equation:

400.8 = 370.4 + 2 * Width

Next, let's isolate the term with Width by subtracting 370.4 from both sides:

400.8 - 370.4 = 2 * Width

30.4 = 2 * Width

Finally, we can divide both sides by 2 to solve for Width:

Width = 30.4 / 2

Width = 15.2 meters

Therefore, the width of Joseph's sandbox is 15.2 meters.

For more questions on Width .

https://brainly.com/question/14788674

#SPJ8

Answer:

Se pueden hacer 5040 permutaciones con la palabra COLUMNA.

Explanation:

La palabara COLUMNA posee 7 letras, por lo que debemos hacer permutación sin repetición.

La formula es:

P_^{n}: n!

Donde n son todos los elementos.

The top right line (second line) best fits the data in this problem, as it has the lowest residuals.

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

For a line of best fit, we have that the residuals are the lowest possible, meaning that the points are the closest to the line.

Hence the top right line best fits the data in this problem, as it has the lowest residuals.

More can be learned about residuals at brainly.com/question/1447173

#SPJ1

No, Mr. Morake's statement is not true.

The basic charge is included in the water usage bill. The basic charge is a fixed fee that is charged to all customers, regardless of their water usage. It helps to cover the costs of maintaining the water infrastructure, such as the water mains and pipes. The basic charge for Mr. Morake's property is R150.00. This means that the total amount of his water bill should be R216.27, not R201.27.

Here is a breakdown of Mr. Morake's water bill:

* Basic charge: R150.00

* Water usage: R51.27

* Total: R201.27

It is possible that Mr. Morake is confused about the difference between the basic charge and the water usage charge. The basic charge is always included in the water bill, while the water usage charge is only charged if you use more than a certain amount of water. In Mr. Morake's case, he used more than the amount of water that is exempt from the water usage charge, so he was charged the full water usage amount.

For such more questions on statement

https://brainly.com/question/27839142

#SPJ8

There are 720 Permutations that can be made with the word "column."

The number of permutations that can be made with the word "column," we need to consider the arrangement of the letters in the word.

The word "column" has 6 letters. When calculating permutations, we need to consider that the order of the letters matters.

In this case, we have 6 options for the first letter, 5 options for the second letter, 4 options for the third letter, 3 options for the fourth letter, 2 options for the fifth letter, and 1 option for the last letter.

To find the total number of permutations, we multiply the number of options for each letter:

6 * 5 * 4 * 3 * 2 * 1 = 720.

Therefore, there are 720 permutations that can be made with the word "column."

For more questions Permutations .

https://brainly.com/question/30732576

#SPJ8

This has to do with proprotions.

RV is 12

AE/AC = BF/BD

BD/AC = BF/AE

DF/CE = BD/AC

In mathematics, proportions express the relationship between two ratios.

They compare two equivalent fractions or ratios and state that they are equal, allowing us to solve for unknown values in a proportional relationship.

To solve the equation (24/32) = (RV/16), we can cross-multiply and solve for RV.

Cross-multiplying gives us

24 * 16 = 32 * RV

Simplifying further

384 = 32 * RV

To isolate RV, divide both sides of the equation by 32

384 / 32 = RV

Simplifying the division

12 = RV

Therefore, the value of RV in the equation (24/32) = (RV/16) is 12.

Learn more about proportions at:

https://brainly.com/question/1496357

#SPJ1

The width of the box of tissues is approximately 10.49 cm.

We can use the formula for the volume of a rectangular prism:

Volume = Length × Width × Height

We may rearrange the formula to find the breadth if we know the volume is 1501.5 cm3 and the length is 11 cm:

Width = Volume / (Length × Height)

Substituting the given values:

Width = 1501.5 cm³ / (11 cm × 13 cm)

Width = 1501.5 cm³ / 143 cm²

Calculating the result:

Width ≈ 10.49 cm

So, the width of the box of tissues is approximately 10.49 cm.

Learn more about volume of rectangular prism here : brainly.com/question/23665595

#SPJ1

The approximate value of log3 16 is 2.5247. This means that 3 raised to the power of approximately 2.5247 is equal to 16.

The logarithmic-expression[tex]log3 ^1^6[/tex] can be interpreted as "the exponent to which 3 must be raised to obtain 16." In other words, we are looking for a number, let's call it x, such that 3 raised to the power of x equals 16.

To determine the approximate value of[tex]log3^1^6[/tex], we can make use of the change of base formula for logarithms, which states that loga b = logc b / logc a. Applying this formula, we can rewrite log3 ^16 as log10 16 / log10 3.

Using a calculator, we find that log10 16 is approximately 1.2041 and log10 3 is approximately 0.4771. Dividing these two values, we get 1.2041 / 0.4771 ≈ 2.5247.

for more such questions on logarithmic-expression

https://brainly.com/question/28041634

#SPJ8

The estimated raw material Inventory balance at the end of July is $27,750.

The estimated raw material inventory balance at the end of July, we need to follow the given information and calculations:

a. Each unit of finished goods requires 5 pounds of raw materials. Therefore, the total raw materials needed for production in August can be calculated as follows:

23,000 units (budgeted unit sales for September) × 5 pounds/unit = 115,000 pounds

b. The ending raw materials inventory equals 10% of the following month's raw materials production. Based on the information provided, the estimated raw materials needed to meet production in August is 111,000 pounds.

111,000 pounds × 0.10 (10%) = 11,100 pounds

This means that the ending raw materials inventory for July should be 11,100 pounds.

c. The cost of raw materials is $2.50 per pound. To find the value of the raw material inventory at the end of July, we multiply the pounds by the cost per pound:

11,100 pounds × $2.50/pound = $27,750

Therefore, the estimated raw material inventory balance at the end of July is $27,750.

To know more about Inventory .

https://brainly.com/question/10026597

#SPJ8

The value of c is given as 1.24

To find the value of "c" in the equation P(0.68 ≤ Z ≤ c) = 0.236, we need to use the standard normal distribution table. This table provides the cumulative probability for different values of the standard normal random variable Z.

Look up the cumulative probability 0.68 in the table. The closest value we find is 0.6799. Corresponding to this value, we note the associated Z-score, which is approximately 0.50.

Next, look up the cumulative probability 0.236 in the table. The closest value we find is 0.2389. Corresponding to this value, we note the associated Z-score, which is approximately -0.74.

Subtract the Z-score for the lower limit from the Z-score for the upper limit: 0.50 - (-0.74) = 1.24.

The value of "c" that satisfies P(0.68 ≤ Z ≤ c) = 0.236 is approximately 1.24.

Therefore, c ≈ 1.24.

The value of c is given as 1.24

Read morie on standard normal random variable here

https://brainly.com/question/30510601

#SPJ1

5) The measures of central tendency for the monthly rainfall (in inches) are as follows:

6) The measures of central tendency for the July 4th Temperatures (°F) are as follows:

7) The measures of central tendency for the Baby Sleep Log (in hours) are as follows:

8) The measures of central tendency for the Daily running log (in kilometers) are as follows:

9) The measures of central tendency for the Reading log (in pages) are as follows:

10) The measures of central tendency for the Monthly snowfall (in inches) are as follows:

The measures of central tendency are typical values or summary statistics of a data set.

The three main measures of central tendency are the mean (the average value), the median (the middle value), and the mode (the most occurring values).

5) Monthly Rainfall (in inches):

1, 0, 2, 0.5, 0.25, 3, 0.25

Arranged data: 0, 0.25, 0.25, 0.5, 1, 2, 3

Total value = 7 (0 + 0.25 + 0.25 + 0.5 + 1 + 2 + 3)

Number of items = 7

Mean = 1 inch (7 ÷ 7)

Median = 0.5 inches

Modes = 0.25 inches

6) July 4th Temperatures (°F):

89, 94, 96, 99, 96, 97, 95, 92

Arranged data: 89, 92, 94, 95, 96, 96, 97, 99

Total value = 758°F (89 + 92 + 94 + 95 + 96 + 96 + 97 + 99)

Number of items = 8

Mean = 94.75°F (758 ÷ 8)

Median = 95.5°F (95 + 96)

Modes = 96°F

7) Baby Sleep Log (in hours):

10, 8, 9, 8, 8.25, 9.25, 8.5

Arranged data: 8, 8, 8.25, 8.5, 9, 9.25, 10

Total value = 61 (8 + 8 + 8.25 + 8.5 + 9 + 9.25 + 10)

Number of items = 7

Mean = 8.7 hours (61  ÷ 7)

Median = 8.5 hours

Modes = 8 hours

8) Daily running log (in kilometers):

3.5, 0, 2.5, 5, 2.5, 3, 4.5

Arranged data: 0, 2.5, 2.5, 3, 3.5, 4.5, 5

Total value = 21 (0 + 2.5 + 2.5 + 3 + 3.5 + 4.5 + 5)

Number of items = 7

Mean = 3 km (21  ÷ 7)

Median = 3 km

Modes = 2.5 km

9) Reading log (in pages):

21, 42, 25, 45, 37, 34, 30

Arranged data: 21, 25, 30, 34, 37, 42, 45

Total value = 234 (21 + 25 + 30 + 34 + 37 + 42 + 45)

Number of items = 7

Mean = 33.4 pages (234 ÷ 7)

Median = 34 pages

Modes = None

10) Monthly snowfall (in inches):

0.5, 2, 5, 0.25, 1

Arranged data: 0.25, 0.5, 1, 2, 5

Total values = 8.75 inches(0.25 + 0.5 + 1 + 2 + 5)

Number of items = 5

Mean = 1.75 inches (8.75÷ 5)

Median = 1

Modes = None

Learn more about the measures of central tendency at https://brainly.com/question/28101345.

#SPJ1

The solution to trigonometric equation sin θ + 1 / 2 = 1 is equal to θ = π / 6 + i · 2π or θ = 5π / 6 + i · 2π.

In this problem we must determine the solution to a trigonometric equation, this can be done both by algebra properties and trigonometric formulas. First, write the entire expression:

sin θ + 1 / 2 = 1

Second, clear the trigonometric function:

sin θ = 1 / 2

Third, use inverse trigonometric functions:

θ = π / 6 + i · 2π or θ = 5π / 6 + i · 2π, where i is a whole number.

To learn more on trigonometric equations: https://brainly.com/question/22624805

#SPJ1

It took Ringani 2.8 years  to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.

To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount

P is the principal amount (initial deposit)

r is the interest rate (in decimal form)

n is the number of times the interest is compounded per year

t is the time in years

In this case, we have:

P = R8,500.00

A = R30,000.00

r = 7.04% = 0.0704 (in decimal form)

n = 1 (compounded annually)

We want to find the value of t.

Using the formula, we can rearrange it to solve for t:

t = (log(A/P)) / (n * log(1 + r/n))

Substituting the given values, we have:

t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))

Calculating this using a calculator, we find that t is approximately 2.8 years.

Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.

The correct answer choice is C. 2.8 years.

For more questions on Compounded .

https://brainly.com/question/31474686

#SPJ8

None of the provided options (A, B, C, D) matches the correct surface area of the prism, which is 210 square inches.

To find the surface area of the prism, we need to calculate the area of each face and then sum them up.

Let's calculate the areas of each face:

Rectangle 1: Area = base × height = 13 × 5 = 65 square inches

Rectangle 2: Area = base × height = 12 × 5 = 60 square inches

Rectangle 3: Area = base × height = 5 × 5 = 25 square inches

Triangle 1: Area = (base × height) / 2 = (12 × 5) / 2 = 30 square inches

Triangle 2: Area = (base × height) / 2 = (12 × 5) / 2 = 30 square inches

Step 2: Sum up the areas of all the faces.

Total Surface Area = Area of Rectangle 1 + Area of Rectangle 2 + Area of Rectangle 3 + Area of Triangle 1 + Area of Triangle 2

Total Surface Area = 65 + 60 + 25 + 30 + 30

Total Surface Area = 210 square inches

Therefore, the surface area of the prism is 210 square inches.

Now, let's sum up the areas of all the faces:

Total surface area = 65 + 60 + 25 + 30 + 30 = 210 square inches

For more such questions on prism visit:

https://brainly.com/question/28795033

#SPJ8

The model predicts that there are approximately 0.012456 (71/5700) restaurants per capita in the year 2016

To determine the number of restaurants per capita, we need to divide the number of restaurants (R) by the population (p). Given that R = 6t + 35 and p = 200t + 4500, we can substitute these values into the equation for restaurants per capita.

Restaurants per capita = R / p

Substituting the given equations, we get:

Restaurants per capita = [tex](6t + 35) / (200t + 4500)[/tex]

To find the number of restaurants per capita for the year 2016, we need to calculate the value of t for that year. Since t represents years after 2010, in 2016, t would be 6 (2016 - 2010 = 6).

Restaurants per capita (2016) = [tex](6 * 6 + 35) / (200 * 6 + 4500)[/tex]

= [tex](36 + 35) / (1200 + 4500)[/tex]

= 71 / 5700

This means that, on average, there is roughly one restaurant for every 80 people in the town. Please note that this prediction is based on the given growth equations and assumes a linear relationship between population and the number of restaurants.

for more such questions on equation

https://brainly.com/question/17145398

#SPJ8

P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q

T T T T T F F F F F T    T

F T T F F T T T T T F    F

P F T F F T T T T T F     F

-P T T F F T T T T T F     F

-Q T T T T F T F F F T     T

-P V -Q T T F F T T T T T F

-P -> Q T T F F T T T T T F

-P -> -Q T T F F T T T T T F

P <-> Q T T T T F T T T T F

Here is a more detailed explanation of how I filled out the table:

P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.

P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.

-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.

-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.

-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.

-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.

-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.

P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.

for more such questions on truth value

https://brainly.com/question/7483637

#SPJ8