An elephant charged 13.3 meters in 15 seconds. At this rate, how far would the elephant move if it could charge for one minute? (15 seconds = 1\3 minute)

9.349 × 10^12 (^ means to the power of)

Total amount of money in the account in the second bank after 3 years will be represented by the function: P[tex]e^{0.0747}[/tex].

The formula for calculating the amount (A) on a principal (P) invested at the rate of r%, compounded continuously after t years is-

A = P[tex]e^{rt}[/tex]

Here, we are given that there are 2 financial institutions-

1st financial institution:

interest rate =  3% for the first year

and interest rate for next two years = 2%

2nd Financial institution:

interest rate = 2.49% for three years

Let the principal amount deposited be P

We assume that the interest is compounded continuously.

Then for the 2nd bank-

Amount = P[tex]e^{rt}[/tex]

here, r = 2.49%

= 0.0249

Amount = P[tex]e^{0.0249 * 3}[/tex]

= P[tex]e^{0.0747}[/tex]

Thus, the total amount of money in the account in the second bank after 3 years will be given by the function- P[tex]e^{0.0747}[/tex].

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The real world representation of the given statement is the expression 3x/8

From the question, we are to write the real world description of the given statement.

The given statement is

"the quantity three times x end quantity divided by 8"

To write the real world description of the given expression, we will write the expression as a mathematical statement

Writing the expression as a mathematical statement

'quantity three times x" can be written as

3 × x

= 3x

Then,

"the quantity three times x end quantity divided by 8" becomes

3x ÷ 8

= 3x/8

Hence, the real world representation of the given statement is 3x/8

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Answer:

7. A person who weighs 125 ponon Earth would weigh  on Mercury. S a proportion and solve using means and extremes to determine how much a child w weighs  on Earth would weigh on Mercury.

Step-by-step explanation:

Average cost of a gallon of gas in Texas in 2013 was $3.42.

Given,

Average cost of a gallon of gas in Texas in 2010 = $2.53

From 2010 to 2013 average cost of regular gasoline in Texas increased by 35%

We have to find the average cost of a gallon of gas in Texas in 2013:

= Average cost in 2010 × (135/100)

= 2.53 × (135/100)

= 2.53 × 1.35

= 3.4155

≈ 3.42

That is, the average cost of a gallon of gas in Texas in 2013 was $3.42 approximately.

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Answer: D

Step-by-step explanation:  The student made a mistake in step 2, because angle O and P do not add up to 90, as supplementary angles add up to 180.

The intersection and the union of the intervals (-7, 0) and (-3, 5) are (-3,0) and (-7,5) respectively

Given,

The intervals = (-7,0) and (-3,5)

Draw the intersection and union of the intervals in the number line

The intersection is an interval that lies within the both intervals (-7,0) and (-3,5)

Intersection of the intervals (-7,0) and (-3,5)  = (-3,0)

The union is the set that consist of all the elements in the first interval and all the elements in the second interval

Union of the intervals (-7,0) and (-3,5) = (-7,5)

Hence, The intersection and the union of the intervals (-7, 0) and (-3, 5) are (-3,0) and (-7,5) respectively

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The third term of a given geometric sequence based on common ratio 2 is 8.

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

Given a geometric sequence.

First term = 2

Second term = 4

Common ratio = Next term / previous term

Common ratio = 4/2 = 2

So,

Common ratio = Third term / second term

The third term = common ratio × second term

The third b = 2 × 4 = 8

Hence "The third term of a given geometric sequence based on common ratio 2 is 8".

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Answer:

23.4%

Step-by-step explanation:

10 = (2.34 / 10) x 100% = 23.4%.

Answer:

Step-by-step explanation:

let the three consecutive odd numbers be x,x+2,x+4

9+x+4 = 2(x+x+2)

thus x =

I could be wrong, but your answer should be: [tex]50h^2-100h-150[/tex].

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

Hope this helps!

Have a great day and God bless! :)

Answer:

[tex]50h^{2} -100h -150[/tex]

Step-by-step explanation:

Assuming that h has no defined value, all we have to do here is multiply every defined number(non-variable numbers) in the parentheses here by 5.

[tex]5(10h^{2} -20h -30)[/tex]           Given

[tex]50h^{2} -100h -150[/tex]            5x10=50, 5x(-20)=-100, and 5x(-30)=-150

Answer:

4.09

Step-by-step explanation:

n = 548/134

The comparison of the numbers are √160 > √115.1

The numbers are given as

square root of one hundred sixty and one hundred fifteen ninths

Rewrite properly as

√160 and √115.11

By comparing the radical of both numbers, we have

160 and 115.11

160 is greater than 115.11

Hence, the comparison of the numbers are √160 > √115.11

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Correct answer is B. The value of tan²(e)+1 is sec²(e).

Triangle side length ratios are known as trigonometric ratios. In trigonometry, these ratios show how the ratio of a right triangle's sides to each angle. Sine, cosine, and tangent ratios are the three fundamental trigonometric ratios.

In geometric figures, unknown angles and distances are derived from known or measured angles using trigonometric functions. The necessity to calculate angles and distances in disciplines like astronomy, mapmaking, surveying, and artillery range finding led to the development of trigonometry.

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Answer:

The second one is correct.

Step-by-step explanation:

The second one is correct.

The three identities which connect the squares of the trig ratios are

sin^2 x + cos^2 x = 1

sec^2 x = 1 + tan^2 x     ( the second one in the question is rearranged)

cosec^2 x = 1 + cot^2 x

An aid to remembering the last 2 is:

the left side ratio comes before the right in alphabetical order.

The number of beads of each type that are on each necklace will be 6 beads.

It should be noted that the jewelry maker will use 24 jade beads and 30 teak beads to make necklaces. each necklace will have the same number of necklaces she can make.

Therefore, it van be seen that the highest common factor between 24 and 30 is 6.

Therefore, the number of beads of each type that are on each necklace will be 6 beads.

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If the distribution is skewed right, the mean is greater than the median.

A distribution is said to be skewed right if more than half the area under the distribution curve is to the right of the mode of the distribution. Also the tail of the distribution will be longer on the right side. In this case, the distribution is said to be positively skewed.

Then the mean of the distribution will be greater than the median of the distribution.

i.e., mean > median

Likewise, the distribution is said to skewed left if more than half of the area under the distribution curve is on the left side.

Also if a distribution is not skewed, then it is said to be symmetric.

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Answer:

a punch recipe calls for one and 12 quarts of sparkling water

Step-by-step explanation:

Answer:

Sparkling water: 50 quarts

Grape Juice: 25 quarts

Step-by-step explanation:

The punch recipe uses 1 1/2 quarts of water and 3/4 quarts of grape juice

That would make a total of

1 1/2 + 3/4 = 3/2 + 3/4 = 6/4 + 3/4 = 9/4 quarts of punch

Therefore to make 75 quarts, we have to figure out how many of 9/4 quarts would be needed.

This is 75 ÷9/4

Dividing by 9/4 is same as multiplying by 4/9

75 ÷9/4 = 75 x 4/9 = 300/9 = 100/3

So we will need 100/3 times as much of both ingredients

For sparkling water this would be

1 1/2 x 100/3 = 3/2 x 100/3 = 300/6 = 50 quarts

For grape juice we will need
3/4 x 100/3 = 300/12 = 25 quarts
(Or we can subtract 50 from 75 to get 25 quarts)

The actual distance between Yappy city and Quiet city when it is 23 cm in map is 9.2 miles.

What is scaling ?

It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.

It is given that :

The distance on the map between Yappy city and Quiet city is 23 cm

and,

5cm = 2 miles

now, for 1 cm on map it is equal to 2/5 miles of actual distance.

Therefore to find the actual distance of 23 cm in map we simply multiply 23 with 2/5 :

actual distance :

2/5 x 23 = 9.2 miles

Therefore, the actual distance between Yappy city and Quiet city is 9.2 miles.

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Answer: 0 = -3, The input is a contradiction: it has no solutions

Step-by-step explanation: Is in the photo Screenshot

Similarly to the question i just answered the sum of all exterior angles in any polygon is 360, so the sum equals to 360

By using the fact that the two lines with the purple arrow are parallel, We can conclude that the angles are y = 133° and x = 47°

First,  notice that the two lines with the purple arrow are parallel lines, and these lines are intersected by the same line, then the 4 angles formed in the above line are the same ones than in the below line.

So, if the angle in the fourth quadrant of the above intersection is the same as the angle in the fourth quadrant of the below intersection, then we can see that:

y = 133°

And x + y should be equal to 180°, then:

133° + x = 180°

x = 180° - 133° = 47°

We can conclude that the angles are y = 133° and x = 47°

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  The proportion of the sample obtained from the survey is 0.055

 The percentage is a mathematical operation that is expressed with the symbol "%" is a relationship that allows us to know the portion of an initial value to represent a set.

  It could also be defined as a representation of an original value that lets us know a certain number of elements that we want from that original value or set.

 To solve this problem, we use a simple rule of three to find the percentage value of the sample.

289 -------- 100%

273 ---------  x

x = (273 * 100%) / 289

x = 94.46%

100% - 94.46% = 5.53%

The ratio in propotion with 3 decimals is

5.53/100  = 0.055

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  Solving the problem by Dividing and simplifying we have as a result 2x⁶y³

  A division is a basic mathematical operation, which has the purpose of dividing a number or element into two or more equal parts, as follows:

Dividend |_divisor

Divisions can also be expressed as a fraction as : a/b

Simplification is a process of reducing terms to expressions, which do not generate changes or values.

The algebraic expression we will divide and simplify to its smallest expression is:

∛64x⁹y³ / ∛8 x³

We solve the cube roots and substitute results, to split terms

4x⁹y³ / 2x³

 we can see that it is an expression that has two variables

2x⁹⁻³y³

2x⁶y³

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Difference between temperatures is 11°C

As in the given problem we are provided data as

Temperature in Munich at Noon: 3°C

Temperature in Munich at Midnight: -8°C

to find out the difference we need to substract the temperature

Thus, Difference between temperatures will be:

3°C -(-8°C)

=> 3°C + 8°C

=> 11°C

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Based on the alternate exterior angle theorem, if m<1 = m<2, the statement which is true is that: B. n || m.

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

The alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed are congruent or angles of equal measure.

In this context, we can reasonably infer and logically deduce that the true statement which best proves that lines n and m are parallel is that angle 1 is congruent to angle 2 because by definition, all alternate exterior angles are congruent, if two (2) parallel lines are cut by a transversal.

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Answer:

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

Distribute and simplify, then find the x-intercepts:

The x- intercepts are:

Since the leading coefficient is positive, the graph opens up, so the interval between the x-intercepts is negative: