Order the numbers below from least to greatest.

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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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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The power of quotients will be the law that would be used to simplify the expression. The correct option is B.

It should be noted that this is a mathematical rule that states that the power of a quotient is the same thing as the quotient that is gotten.

Given that the numerator p and the denominator q are raised to to the power expressed in the question separately.

The division will be:

(p/q)³

= p³ / q³

Therefore, the power of quotients will be the law that would be used to simplify the expression.

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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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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.

Answer:

0.0377358490566038 or 2/53

Step-by-step explanation:

Answer: y = [tex]\frac{1}{2}[/tex]x + 4

Step-by-step explanation:

       First, let us graph the points to see patterns. See attached.

     This function is linear, so we can write an equation in slope-intercept form. m is the slope and b is the intercept.

      We can find the slope with rise over run. Starting at point (0, 4) and counting up one and over 2 to (2, 5).

y = mx + b

y = [tex]\frac{1}{2}[/tex]x + 4

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

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

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:

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.

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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The factors of the expression are (2b+10) and (2b-10).

A factor in mathematics is an integer that evenly divides another number by itself, leaving no remainder.

We can employ a variety of techniques, including the division method and the multiplication method, to determine the factors of a number.

Factors of an algebraic expression is calculated by factoring the given expression into smaller algebraic expressions.

Now let us factor the given expression.

4 b²-100

This expression can be written in the form of the difference of two squares.

(2b)²-(10)²

We know that (a²-b²) can be factored into (a+b) and (a-b).

So the expression (2b)²-(10)² can be factored into (2b+10) and (2b-10).

Therefore the factors of (4 b²-100) are  (2b+10) and (2b-10).

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The length of the hypotenuse is 13 inches

A right triangle is a three-sided polygon. For right triangles, the sum of the square of the two sides is equal the square of the longest side. The sum of the angles in a right triangle is 180 degrees of which one of the angles measure 90 degrees.

According of the Pythagorean Theorem, a triangle is a right triangle if the sum of the square of the two sides is equal the square of the longest side.

The Pythagorean Theorem: a² + b² = c²

Where:

5²  + 12²  = c²

25 + 144 = c²

169 = c²

c = √169

c = 13 inches

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The other person deserves Brainliest, they put tons of work Into answering the question

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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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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Answer:

4.09

Step-by-step explanation:

n = 548/134

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)

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

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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Answer:$1.415

Step-by-step explanation: We divide the price of certain number of units of an item by the number of units to find the unit price of that item. For example, to find the unit price of 12 ounces of soup that costs $2.40, divide $2.40 by 12 ounces, to get unit price of soup as $0.20 per ounce.

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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Answer:9-4=5  5+4=9

Step-by-step explanation:

  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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