347 is what in expanded form

Answer:

8th term is 3980.

Step-by-step explanation:

0 12 72 240 598 1250 2322

Differences in successive terms

are:

12   60   168   358   652   1072

   48   108    190   294   420

       60     82     104    126

            22      22      22  

So calculating the 8th term , working from the last line to the first:

126 + 22 = 148

148 + 420 = 568

1072 + 568 = 1658

Finally the 8th number = 2322 + 1658 = 3980

The image of point P under a 90-degree counter Clockwise rotation about the origin is (-6, -4).

To find the image of point P = (-4, 6) after a 90-degree counterclockwise rotation about the origin, we can use the following formula:

(x', y') = (xcosθ - ysinθ, xsinθ + ycosθ)

where (x, y) are the coordinates of the original point, θ is the angle of rotation, and (x', y') are the coordinates of the rotated point.

In this case, θ = 90 degrees, so we have:

(x', y') = (-4cos90 - 6sin90, -4sin90 + 6cos90)

        = (-6, -4)

Therefore, the image of point P under a 90-degree counterclockwise rotation about the origin is (-6, -4).

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Using multiplication operation, the number of ounces of Isabella's spray fixative contained in the economy size is 9¹/₃ ounces.

Multiplication operation is one of the four basic mathematical operations, including addition, division, and subtraction.

The multiplication operation involves the multiplicand multiplied by the multiplier, resulting in a product.

The multiplication operand is depicted using (x), (*), or (of).

The normal spray fixative purchased by Isabella = 6²/₃ = 6.667 ounces

The relative size of the economy can = 1²/₅ of 6²/₃ ounces

The number of ounces in the economy can = 9¹/₃ ounces (1²/₅ x 6²/₃)

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Answer:

i) Consecutive interior angles

ii) Supplementary angles

iii) The two oars are parallel by consecutive interior angles theorem

Step-by-step explanation:

i) m∠1  and m∠2 lie between two line and on the same side of the line passing through the two lines. Therefore, they are consecutive interior angles

ii)x = 10

m∠1 = 6x + 18

= 6(10) + 18

= 60 + 18

= 78

m∠2 = 9x + 12

= 9(10) + 12

= 90 + 12

= 102

m∠1 + m∠2 = 72 + 108 = 180

Since m∠1 and m∠2 add to 180, they are supplementary angles.

iii) The two oars are parallel

consecutive interior angle theorem:

If  a transversal cuts through two line and the consecutive interior angles are supplimentary, then the two lines are parallel

Step-by-step explanation:

This is of the form

(x-h)^2 + ( y-k)^2 = r^2        so r^2 = 16  means r = 4   units

The element of A n B is { 7, 8}

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind.

For example, if the element of P is even numbers from 1 to 20 and element of Q is factor of 6 from 1 to 20 then we can say that set Q is a subset of set P.

The sign 'n' means intersection and this means what is common to two or more set.

If set A = { 1,2,5,7,8}

set B = { 6,7,8,9}

then we can see that 7 and 8 are common to both sides, then

A n B = { 7,8}

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We will have that 125 will represent 100%, so 86 how much will represent?.

In order to solve for the percentage we want to know, we multiply the ammount we want to know the percerntage (86) times the total percentage (100%) and divide it by the total quantity (125):

From this we gather that the 68.8% of people pass in their first attempt.

The minimum quantity that the factory must sell in order to obtain benefits is x is 3.

Assuming that the unit price and unit cost are known, in addition to the fixed costs, the following formulas are proposed to determine the minimum quantity number of units that the factory must sell in order to obtain benefits: Input, cost, total cost, benefit, and utility. This example illustrates these formulas.

Unities sold = x =?

Unitary selling price = \(S.(2x-2)\)

Unit cost is \(\frac{S}{(x+4)}\)

Fixed costs = \(\frac{S}{160}\)

Assumption: I(x) = p*x= x*

\((2x-2)\)

Total cost: C(x)=\(x*(x+4)+160\)

U(x) = \(x*(2x-2)-x*(x+4)+160\)

U(x) = \(2x^{2} -2x-x(4)+160\)

U(x)= \(x^{2} -6x+160\)

derived from and equal to zero:

U'(x)= \(2x-6=0\)

x = 3​.

Therefore, the minimum quantity that the factory must sell in order to obtain benefits is x is 3.

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Answer:

It Is!

Step-by-step explanation:

"For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students' ages."

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  =  $272,090

      A) - Calculate the Percentage of the Value Remaining After the Decrease

       B) - Calculate the NEW VALUE of the house

A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE

      100%  -  9%  =  91%

        0.91

B) - Calculate the NEW VALUE of the house:

NEW VALUE  =  OLD VALUE  *  REMAINING PERCENTAGE

NEW VALUE  =  299,000  *  0.91

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  = $272,090

I hope it helps!

Answer:

8

Step-by-step explanation:

88 ÷ 11 = 8, therefore the answer is 8

Answer:

Barometer i think im not sure

Step-by-step explanation:

Pressure is a mechanical (non-electrical and non-magnetic) measure. All mechanical measures can be derived from just three basic mechanical units. Which three we use is actually arbitrary. This means that using three we can produce or define all other mechanical measures by multiplying or dividing some combination of the chosen three.

Most measuring systems use time, length, and mass as the basic three in which case pressure would be mass / (time * time * length * length). Compare that with kilogram per (meter*meter * second*second) which is also called a Pascal.

Another measuring system might use time, length, and force as the three basic measures. Here mass is omitted in place of force. Nothing is lost because mass and force can be written in terms of the other with the help of time and length. In this case pressure would be force / (length*length). Compare this with Newton per meter*meter which also defines a Pascal.

How pressure is measured in practice is another good question. The standard method is to use some device that employs a medium to compare the unknown pressure to some known familiar pressure. Mercury tubes illustrate this nicely and are still used in laboratories. They work because mercury is a very dense fluid. A lighter fluid can push upon and move a column of mercury but cannot pass through it.

Measuring the movement of mercury when a known pressure is applied to one end reveals the pressure at the other end. The persistence of millimeters of mercury (mmHg) as a unit for reporting pressure is testament to this method. Other pressure gages work by employing something like springs or strain sensors calibrated to mimic the readings that a mercury tube would report.

The electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

In the analogy of a circuit with resistance, we can compare it to an obstacle race. Here's how we can relate the different elements:

Circuit: The entire obstacle race course represents the circuit itself. It includes all the components and paths that the participants will go through.

Obstacles: The obstacles in the race represent the resistors in the circuit. Just like resistors impede the flow of electrical current in a circuit, obstacles in the race impede the progress of the participants.

People/Participants: The people participating in the race represent the flow of electric current in the circuit. They are the "charge" moving through the circuit, encountering and overcoming obstacles (resistors) to reach the finish line.

The goal of the participants (people) is to navigate through the obstacles (resistors) and complete the race (circuit) by reaching the finish line.

Similarly, in an electrical circuit, the goal is for the electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

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Answer:

14

Step-by-step explanation:

because 1×2=2

and 7×2=14.

Answer: -5.3k-6

Step-by-step explanation: I dont know if its correct but this is what i got (i hope this helps:)

Answer:

325

Step-by-step explanation:

all other numbers are squares of natural numbers.

144 = 12²

169 = 13²

196 = 14²

225 = 15²

256 = 16²

289 = 17²

325 is no square. 324 would have been 18².

The multiplicative inverse of 5/6 as required to be determined in the given task content is 6/5.

It follows from the task content that the multiplicative inverse of the given number; 5/6 is required to be determined.

By definition; it follows that the Multiplicative inverse of an expression refers to its reciprocal. It is the value that, when multiplied by the original, give a product of 1 (the multiplicative identity element).

So,

5/6 × 6/5

= 30/30

= 1

Hence, 6/5 is the multiplicative inverse of 5/6

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Answer:

in 20 miles she would have taken her 100 minutes (or 1 hour and 40 mins)

Step-by-step explanation:

Divide 10 by 2 to see how many mins its takes to travel 1 mile which is 5 mins, then multiply 20 by 5 to get 100 minutes

2:10

1:5

2.5/1

your welcome

Answer:

Step-by-step explanation:

its c

Answer:

Step-by-step explanation:

step 1

100%/the total number = percent for one probability

100/5 = 20%

2 and 4 is even.

total even number * percent for one probability = total percent for even number

20% * 2 = 40%

therefore total even number is 40%

The probability is:

Step-by-step explanation:

Remember the formula for probability:

\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)

In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.

As for the total outcomes, there are 5 of them, because we have 5 numbers total.

So the probability of choosing an even number is 2/5.

Answer:

The correct answer is C.

Explanation:

A. 3.5 = 8/10 is not true because 3.5 is equivalent to 7/2, which is not the same as 8/10 (which reduces to 4/5).

B. 35 > 3/10 is true because 35 is a larger number than 3/10.

C. 35/100 < .35 is true because 35/100 reduces to 7/20, which is less than .35.

D. 3 3/10 = .35 is not true because 3 3/10 is equivalent to 33/10, which is not the same as .35 (which is equivalent to 7/20).

The probability of a license plate meeting all the given criteria is approximately 0.0000126, or  \(1.26 x 10^{-5\).

Given that: A city issues 3-digit license plates and digits are 0 to 9.

Having all different digits:

To calculate this probability, use the same approach as before:

Number of favourable outcomes = 10 × 9 × 8

Total number of possible outcomes = 10 × 10 × 10

Probability = (Number of favourable outcomes) / (Total number of possible outcomes)

Probability = (10 × 9 × 8) / (10 × 10 × 10)

Probability = 720 / 1000

Probability = 0.72                                        (*)

Having at least one even digit:

So, the license plate must have all odd digits (1, 3, 5, 7, or 9).

Number of favourable outcomes = 5 × 5 × 5

Total number of possible outcomes = 10 × 10 × 10

Probability = (5 × 5 × 5) / (10 × 10 × 10)

Probability = 125 / 1000

Probability = 0.125                                      (1)

Now, the probability of having at least one even digit is the complement of the above probability:

Probability of having at least one even digit = 1 - 0.125

Probability = 0.875                                  (2)

Having the digits in ascending or descending order:

Ascending: 012, 123, 234, 345, 456, 567, 678, 789

Descending: 987, 876, 765, 654, 543, 432, 321, 210

Total favourable outcomes = 8 + 8

Total favourable outcomes = 16

Probability = 16 / 1000

Probability = 0.016                                 (3)

Having a specific digit in a specific position:

Let's say want the digit 7 to be in the first position.

Number of favourable outcomes = 1

Total number of possible outcomes = 10 × 10

Probability = 1 / 100

Probability = 0.01                                              (4)

Now, to find the probability of all criteria being met simultaneously, multiply the individual probabilities:

Probability of meeting all criteria = Probability (1) × Probability (2) × Probability (3) × Probability (4)× Probability (*)

Probability of meeting all criteria = 0.125 × 0.875 × 0.016 × 0.01 × 0.72

Probability ≈ 0.0000126

Hence, the probability of a license plate meeting all the given criteria is approximately 0.0000126.

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The product of the expression 7 x 63 is 441.

We have,

To find the product of 7 x 63 using the distributive property, we can break down 63 as the sum of its factors, such as 60 and 3:

7 x 63 = 7 x (60 + 3)

Now, we can apply the distributive property by multiplying 7 to each term inside the parentheses:

7 x (60 + 3) = 7 x 60 + 7 x 3

Simplifying further:

7 x 60 + 7 x 3 = 420 + 21

Therefore,

The product of 7 x 63 is 441.

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Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

A) The variable is n, which represents the number of the figure in the pattern.

B) Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                      1

2                      3

3                      6

4                     10

5                     15

6                     21

7                    28

8                    36

C) The equation to represent the nth term of the sequence is n(n+1)/2.

D) If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12.

E) It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

Here is a more detailed explanation of how to answer each question:

A) Identify and label the variable

The variable is n, which represents the number of the figure in the pattern. For example, the first figure is figure 1, the second figure is figure 2, and so on.

B) Make a table for up to 8-figure patterns

Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                        1

2                        3

3                        6

4                        10

5                        15

6                        21

7                        28

8                        36

C) Write an equation to represent the nth term of the sequence

The equation to represent the nth term of the sequence is n(n+1)/2. This equation can be derived by looking at the table of values. For example, the number of Cheerios in the first figure is 1, which is equal to 1(1+1)/2. The number of Cheerios in the second figure is 3, which is equal to 2(2+1)/2. And so on.

D) If the pattern continues, what figure number will have 20 whole Cheerios in it?

If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12. This can be found by solving the equation n(n+1)/2 = 20. The solution is n = 12.

E) Is it reasonable to think this pattern would continue forever? If not, explain.

It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, what is the largest figure number we can have using a full box of Cheerios?

Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

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Answer:

Step-by-step explanation:

Step-by-step explanation:

20÷40

=0'5×60min

30min

80÷120

=0,6666666667×60

=40mins

john will arrive earlier

Answer:

Hope this helps ;)

Step-by-step explanation:

To find the time it takes the T-shirt to reach its maximum height, we need to find the value of t when the velocity of the T-shirt is zero, because at this point the T-shirt has reached its maximum height and starts falling back down. We can find the velocity of the T-shirt by taking the derivative of the height equation with respect to time:

v(t) = h'(t) = 72

The velocity of the T-shirt is a constant 72 feet per second, so it will never reach a velocity of zero and will never reach its maximum height. The T-shirt will keep going up indefinitely.

If the problem had specified that the T-shirt was launched with an initial upward velocity of -72 feet per second (meaning it was launched downward), then we could have found the time it takes the T-shirt to reach its maximum height by setting v(t) = 0 and solving for t. In this case, we would find that t = 1, so it would take the T-shirt 1 second to reach its maximum height. The maximum height would be h(1) = -16 + 72(1) + 6 = 62 feet.