help please and explain why

The surface area of the rectangular prism is 502 mm²

An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.

The area of a figure is the amount of space it occupies in its two dimensional state.

The surface area of the prism = 2(8 mm * 13 mm) + 2(8 mm * 7 mm) + 2(7 mm * 13 mm) = 502 mm²

The surface area is 502 mm²

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Answer: 600 tiles

Step-by-step explanation:

Area of the hall (assuming a typo and is metres,) = 900x400

                         = 360000cm2

Area of the tiles = 600cm2

Amounts of tiles able to be used = 360000/600

                                                       = 600 tiles.

Answer:

Step-by-step explanation:

I think 9cm and 4 cm are the lengths of the tile. so assuming that

First, we need to calculate the area of the floor in square centimeters:

Area of the floor = length x width

Area of the floor = 20cm x 30cm

Area of the floor = 600 square centimeters

Next, we need to calculate the area of one tile in square centimeters:

Area of one tile = length of tile x width of the tile

Area of one tile = 9cm x 4cm

Area of one tile = 36 square centimeters

To find the number of tiles needed to cover the floor completely, we need to divide the area of the floor by the area of one tile:

Number of tiles needed = Area of the floor / Area of one tile

Number of tiles needed = 600 square centimeters / 36 square centimeters

Number of tiles needed = 16.67

Since we can't have a fraction of a tile, we round up to the nearest whole number. Therefore, we need 17 tiles of size 9cm by 4cm to cover the floor completely.

Answer:

4

Step-by-step explanation:

divide each side by 5 to isolate x. 20/5 is 4

Step-by-step explanation:

\(x \: = \: \frac{20}{5} \\ x \: = \: 4\)

Hope it can help you..

The correct statement regarding the values is given as follows:

The values are opposite from each other, and they are both 5/2 units from zero.

The absolute value function is defined by the following piecewise rule, depending on the input of the function:

It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.

The values for this problem are given as follows:

The numbers are the same, with the opposite signal, hence they are opposites.

Additionally, both numbers have the same absolute value of 5/2, hence they are both at a distance of 5/2 units from the origin.

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The types of insurance is the minimum required by law is Bodily Injury Liability

What is Insurance?

Insurance is a tool for risk management. You purchase protection against unforeseen financial losses when you purchase insurance. If something unpleasant happens to you, the insurance company pays you or someone else of your choosing.

What is Bodily Injury Liability?

Bodily injury liability coverage pays for the victims' medical expenses if you are at fault for an automobile accident (not including yourself). In the event that you are sued for damages, this coverage also aids in covering the cost of your defence.

For most drivers, 100/300/100, or $100,000 per person, $300,000 per accident in bodily injury liability, and $100,000 per accident in property damage liability, is the optimum liability coverage.

The types of insurance is the minimum required by law is Bodily Injury Liability

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Answer:

x=1

Step-by-step explanation:

1+1+2x+2x= 6

1+1=2

2x+2x=4x

2+4x=6

x=1

The length of the fence around the enclosure not including the gates is:2l + 2w + 8 m

To find the length of the fence around the enclosure, we need to first find the perimeter of the rectangle and then subtract the combined length of the two gates from it.

Let's assume the length of the rectangle is 'l' and the width is 'w'.

From the given data, we know that each gate is 4 m wide.

Therefore, the width of the rectangle is:

Width = w + (4 m + 4 m) = w + 8 m

The perimeter of the rectangle is:

P = 2l + 2(w + 8 m) = 2l + 2w + 16 m

Now, we need to subtract the combined length of the two gates from the perimeter:

P - 2 × 4 m = 2l + 2w + 16 m - 8 m = 2l + 2w + 8 m

So, the length of the fence around the enclosure not including the gates is:2l + 2w + 8 m

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The area of the dish, a, can be represented by the product of its length and width. Thus, we can write:

a = (279/10) cm x (178/10) cm

Simplifying this expression, we get:

a = 4953/100 cm^2

So, the correct equations are:

B) 178/10 x 279/10 = a

and

D) a ÷ 178/10 = 279/10

The simplified algebraic expression is given as follows:

\(5\frac{(-1 + \sqrt{3})}{3}\)

The algebraic expression in the context of this problem is defined as follows:

\(\frac{-5 + 5\sqrt{3}}{3}\)

To simplify, we must obtain the common factor of the numerator, which is of 5, as both terms are divisible by 5, as follows:

Hence the simplified algebraic expression is given as follows:

\(5\frac{(-1 + \sqrt{3})}{3}\)

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Answer:

25

Step-by-step explanation:

First, lets create a equation for our situation. Let x be the months. We know four our problem that Eliza started her savings account with $100, and each month she deposits $25 into her account. We can use that information to create a model as follows:

25x+100

We want to find the average value of that function from the 2nd month to the 10th month, so its average value in the interval [2,10].

We can conclude that the average rate of change in Eliza's account from the 2nd month to the 10th month is $25.

The work is below in a png.

Answer:Answer:

25

Step-by-step explanation:

First, lets create a equation for our situation. Let x be the months. We know four our problem that Eliza started her savings account with $100, and each month she deposits $25 into her account. We can use that information to create a model as follows:

25x+100

We want to find the average value of that function from the 2nd month to the 10th month, so its average value in the interval [2,10].

We can conclude that the average rate of change in Eliza's account from the 2nd month to the 10th month is $25.

The work is below in a png.

Step-by-step explanation:

NIMS incident command and coordination is based on fourteen NIMS Management Characteristics.

On fourteen NIMS Management Characteristics, NIMS bases incident command and coordination. The National Incident Management System's fourteen traits serve as pillars, enhancing its durability and effectiveness.

The ICS organizational design is adaptable. To improve internal organizational administration and coordination with the outside world, distinct functional elements can be formed and split as needed.

In all, NIMS integration is supported by 14 implementation objectives. NIMS is adaptable and suitable for all kinds of schools, school systems, and educational organizations, just as it applies to all kinds of emergency occurrences.

The following 14 NIMS management traits, each of which adds to the overall system's strength and effectiveness, form the foundation of the Incident Command System (ICS): Typical Language.

Therefore, the correct answer is option C. 14.

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Answer:

\(x = 20\)

Step-by-step explanation:

Given

The attached triangle

Required

Find x

The value of x will be found using the following equivalent ratios:

\(11 : 121 = 10 : 5x + 10\)

Convert to fraction

\(\frac{11}{121} = \frac{10}{5x + 10}\)

Factorize:

\(\frac{11}{121} = \frac{5*2}{5(x + 2)}\)

Simplify

\(\frac{1}{11} = \frac{2}{x + 2}\)

Cross Multiply

\(1 * (x + 2) = 2 * 11\)

\(x + 2 = 22\)

Collect Like Terms

\(x = 22-2\)

\(x = 20\)

The probability that Hector captures the golden brick and chooses the correct door is approximately 0.2, or 20%.

What is probability ?

Probability can be defined as ratio number of favourable outcomes, total number of outcomes.

A represents the event that Hector captures the golden brick (with a probability of 0.7), B represents the event that Hector chooses the correct door (with a probability of 0.4), and C represents the intersection of A and B (the event that Hector captures the golden brick and chooses the correct door, with a probability of 0.2).

The probability of event C can be calculated using the formula:

P(C) = P(A and B) = P(A) * P(B|A)

where P(A) is the probability of event A (capturing the golden brick), and P(B|A) is the conditional probability of event B (choosing the correct door) given that event A has occurred (i.e., Hector has captured the golden brick). We are given that P(A) = 0.7, P(B) = 0.4, and P(A and B) = 0.2, so we can calculate:

P(B|A) = P(A and B) / P(A) = 0.2 / 0.7 ≈ 0.286

Therefore, the probability of event C (capturing the golden brick and choosing the correct door) is:

P(C) = P(A and B) = P(A) * P(B|A) = 0.7 * 0.286 ≈ 0.2

Therefore, the probability that Hector captures the golden brick and chooses the correct door is approximately 0.2, or 20%.

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The equivalent expression to 0 equals 2 x squared plus 8 x minus 24 when completing the square is x = 2 or x = -6

0 = 2x² + 8x - 24

divide through by 2

x² + 4x - 12

x² + 4x = 12

x² + 4x + (4/2)² = 12 + (4/2)²

x² + 4x + 16/4 = 12 + 16/4

x² + 4x + 4 = 12 + 4

x² + 4x + 4 = 16

(x + 2)² = 16

Find the square root of both sides

(x + 2) = ±√16

x + 2 = ± 4

x + 2 = + 4 or x + 2 = -4

x = 4 - 2 or x = -4 - 2

x = 2 or x = -6

Therefore, x = 2 or x = -6 is equivalent to 0 = 2x² + 8x - 24 when solved using completing the square method.

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Step-by-step explanation:

The circumference of a WHOLE circle = pi * d

   you have 1/2 of this  and d = 10 ft

     so   1/2 pi * 10      PLUS the two straight sides + 8+6

       1/2 pi * 10   + 8 + 6

         5 pi + 8 + 6

        5 * 3.14   + 14 = 29.7 ft

Answer:

1/16 = 0.0625 = 6.25% probability that the sum of the two rolls equals 5.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Die with 8 sides

This means that the total number of outcomes is \(T = 8^2 = 64\)

Outcomes in which the sum of the two rolls is 5:

(1,4), (4,1), (2,3), (3,2)

4 desired outcomes, so \(D = 4\)

What is the probability that the sum of the two rolls equals 5?

\(p = \frac{D}{T} = \frac{4}{64} = 0.0625\)

1/16 = 0.0625 = 6.25% probability that the sum of the two rolls equals 5.

The probability that the sum of the two rolls equals 5 is 1/16

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Given a single die with 8 sides (numbered 1, 2, 3, ... , 8) is rolled twice, the total outcome will be:

Total outcome = 8^2

Total outcome = 64

For the sum of two rolls, the expected outcome will be:

E = {(1, 4), (4, 1), (3, 2), (2, 3)}

n(E) = 4

Pr(sum of the two rolls is 5) = 4/64

Pr(sum of the two rolls is 5) = 1/16

Hence the probability that the sum of the two rolls equals 5 is 1/16

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Answer: s=13

Step-by-step explanation:

so first i did 180-76=104, then i did 104/2=52  

then i do a random number times 4, 4x9=36, so then i did 4x13=52,  so s=13

The equivalent algebraic expression to \(\sqrt[3]{200k^{15}}\) is \(2~k^5~\sqrt[3]{25}\)

The correct answer is an option (B)

"It is a mathematical statement which consists of numbers variables and some algebraic operations."

"It refers to the number of times a number is multiplied by itself."

For given question,

We have been given an algebraic expression \(\sqrt[3]{200k^{15}}\)

We need to find an equivalent algebraic expression to given expression.

We know that the properties of exponents,

for positive integers a, b, n

\(\sqrt[n]{a}=a^{(\frac{1}{n} )}\\\\\sqrt[n]{ab}=a^{(\frac{1}{n} )}b^{(\frac{1}{n} )}\)

We can write algebraic expression \(\sqrt[3]{200k^{15}}\) as,

\(\sqrt[3]{200k^{15}}\\\\=\sqrt[3]{25\times 8\times k^{15}}\\\\=(25)^{\frac{1}{3} }\times (8)^{\frac{1}{3} }\times (k^{15})^{\frac{1}{3} }\\\\=\sqrt[3]{25}\times 2\times (k)^{\frac{15}{3} }\\\\ =2\sqrt[3]{25} \times k^5\\\\=2~k^5~\sqrt[3]{25}\)

Therefore, the equivalent algebraic expression to \(\sqrt[3]{200k^{15}}\) is \(2~k^5~\sqrt[3]{25}\)

The correct answer is an option (B)

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Answer: 40 beads

Step-by-step explanation: Its said that Ben have 13 fewer beads than Jori. That mean 27+13=40

Answer:

40

Step-by-step explanation:

27 + 13 = 40

Answer:

distance =6,000km

time =6.8 hrs

speed =distance /time =6,000/6.8=60000/68=882 km/h

Answer:

one and four fifths 1 4/5-

Step-by-step explanation:

Answer:

7/9

Step-by-step explanation:

If the chances of an outcome are 2/9, the odds against it can be found by subtracting that from 1.

1 - 2/9

= 7/9

So, the odds against that outcome are 7/9

The inverse function:  \(f^{-1} (x) =\) \((\frac{x -5}{5} )^{2} -13\)

The inverse is defined on the domain x < 5 and x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5.

A function is a relationship that exists between two sets of numbers, with each input from the first set, known as the domain, corresponding to only one output from the second set, known as the range.

Given function is;   \(f(x) = 5\sqrt{(x + 13)} + 5\)

To find the inverse of the given function, we first replace f(x) with y:

⇒  \(y = 5\sqrt{(x + 13)} + 5\)

Subtract 5 from both sides:

⇒ \(y -5 = 5\sqrt{(x + 13)}\)

⇒ \(\frac{(y -5)}{5} = \sqrt{(x + 13)}\)

⇒ \((\frac{y -5}{5} )^{2} = x + 13\)

⇒ \((\frac{y -5}{5} )^{2} -13 = x\)

Now we have x in terms of y, so we can replace x with f⁻¹(x) and y with x to get the inverse function:

f⁻¹(x) = \((\frac{x -5}{5} )^{2} -13\)

The domain of the inverse function is x ≥ 5, because this is the range of the original function, and we were given that the inverse is defined on the domain x < 5. However, we must also exclude the value x = 5, because the denominator of the fraction \((\frac{x -5}{5} )^{2}\) becomes zero at this value. Therefore, the domain of f⁻¹(x) is x > 5.

We were given that x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5. Therefore, the domain of the inverse function becomes the range of the original function, and the range of the inverse function becomes the domain of the original function.

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Answer:

P(A∩B) = 0

P(A) = 0.1667

P(B) = 0.8333

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

Explanation:

The events

are mutually exclusive. There isn't any overlap. This is because event B involves "at least 2 rolls", meaning we cannot get 5 on the first roll. Either event A happens, or B does, but not both at the same time.

This allows us to say P(A∩B) = 0

In a venn diagram, the overlapped region between circles A and B would have probability 0 marked inside.

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

P(A) = 1/6 since there is exactly one side labeled "5" out of 6 sides total. This converts to the approximate decimal form 1/6 = 0.1667 when rounding to four decimal places. The 6's go on forever, but of course we have to round at some point.

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

We found that P(A) = 1/6. The complement to this is 1-(1/6) = 5/6, which is the probability of rolling anything but a "5". This fraction represents the scenario "at least 2 rolls are needed for the 1st '5' to show up" since we forced the first roll to be anything but 5.

Put another way, we have two options:

The two probabilities 1/6 and 5/6 add to 6/6, aka 1, to represent 100% of all possible cases. This means P(A)+P(B) = 1 for this scenario.

The fraction 5/6 converts to the approximate decimal form of 5/6 = 0.8333; use a calculator or long division to determine this value.

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.

Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.

One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.

Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.

This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.

Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.

In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.

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The property illustrated ca be classified as the transitive property of equality

Equation are expressions separated by an equal sign. For transitive property, if two system of equation are equal, and the first is equal to the second, then they 2nd is equal to the third, they are transitive.

According to the transitive property of equality, two quantities that are equal to the same thing are equal to each other. For instance If x = 10 and 10 = y, then x = y.

Given that g = 3h and 3h = 16, then g = 16, then the property illustrated ca be classified as the transitive property of equality

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