At 8am it was -6c the temperature risen 13c what was the temperature by noon

Answer:

  -4

Step-by-step explanation:

You want the value of (f·g)(-1) when f(x) = x² +3x and g(x) = 2x².

The product of the functions is the product of their values for each value of x.

  (f·g)(-1) = f(-1)·g(-1) = ((-1)² +3(-1)) × (2(-1)²) = (1-3)(2·1) = (-2)(2)

  (f·g)(-1) = -4

Answer:

Step-by-step explanation:

Finally, we got the number 1 at the end of the division process. So that we cannot proceed further. So, the prime factors of 28 are written as 2 × 2 × 7 or 22 x 7, where 2 and 7 are the prime numbers.

Randy had 20 touchdown passes and his deviation from the mean is 5.

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability. When data points are closely spaced from the mean, there is a small variation, and when they are far spaced from the mean, there is a large variation. The standard deviation determines how much the values deviate from the mean. The most popular way to assess dispersion is standard deviation, which is based on all values.

Given that, mean touchdown passes=15.

Randy's touch down passes = 20.

The deviation of the touch down passes = 20 - 15 = 5.

Hence, his deviation from the mean is 5.

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The answer here would be D. In choice A, this would be incorrect because he would divide the millage cost before the passenger fee. In choice B, this would be incorrect because he would add the passenger fee, when it is required to subtract it. Choice C would be incorrect, because yet again, you are not supposed to add the passenger fee. This leaves choice D, which is correct.

It can be put as 40 / 100 as a fraction, which if you needed, it can be further simplified to 4 / 10, or even 8 / 20.

The digits are arranged in increasing order from left to right, and that each digit is used exactly once.

What is a number line?

A number line is a visual representation of numbers arranged in a straight line from left to right or from right to left. It is a tool commonly used in mathematics to help visualize numerical relationships, such as addition, subtraction, multiplication, and division.

A typical number line starts at zero in the middle and extends infinitely in both directions, with positive numbers increasing to the right and negative numbers decreasing to the left. The distance between any two points on the number line represents the absolute difference between the corresponding numbers.

Here's a number line using the digits 0-9 exactly once:

-9 --- -8 --- -7 --- -6 --- -5 --- -4 --- -3 --- -2 --- -1 --- 0 --- 1 --- 2 --- 3 --- 4 --- 5 --- 6 --- 7 --- 8 --- 9

Note that the digits are arranged in increasing order from left to right, and that each digit is used exactly once.

Therefore, the digits are arranged in increasing order from left to right, and that each digit is used exactly once.

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Answer:

x = 132°

Step-by-step explanation:

x and y lie on a straight line and sum to 180° , that is

x + y = 180°

x + 48° = 180° ( subtract 48° from both sides )

x = 132°

Answer: 4,000,000,000,000,000,000,000,000,000

Step-by-step explanation:

4x10^27 is a number expressed in scientific notation. In standard form, it would be written as 4 followed by 27 zeros. This is because the exponent 27 indicates the number of zeros that should be added after the 4 to represent the value of the number.

So, the standard form of 4x10^27 is: 4,000,000,000,000,000,000,000,000,000

Answer:

volume of a sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]

Radius = 18.8/2 = 9.4 cm

volume of the required sphere = [tex]\frac{4}{3} \pi (9.4)^{3}[/tex]

                                                   = [tex]\frac{4}{3}(3.14)(9.4)^{3}[/tex]

                                                   =3477.4 cm^3 (cor to nearest tenth)

The value of the expression is -3/2, So correct option is A.

In mathematics, a fraction represents a part of a whole. A fraction consists of two numbers separated by a horizontal line called a fraction bar or a division sign. The number above the bar is called the numerator, and the number below the bar is called the denominator.

The numerator represents the number of parts being considered, while the denominator represents the total number of parts in the whole. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator. This fraction represents three parts out of a total of four equal parts.

Fractions can be written in different forms, such as proper fractions, improper fractions, and mixed numbers.

A proper fraction has a smaller numerator than the denominator, such as 2/3 or 5/8.

An improper fraction has a numerator that is equal to or greater than the denominator, such as 7/4 or 11/6.

A mixed number consists of a whole number and a proper fraction, such as 2 1/3 or 3 2/5.

Fractions are used in many real-life situations, such as cooking, measuring, and financial calculations. They are also an essential part of mathematics and are used in operations such as addition, subtraction, multiplication, and division.

We can start by simplifying the expression inside the absolute value bars:

|1/6 - 3/4| = |(2/12) - (9/12)| = |-(7/12)| = 7/12

Now we can substitute this back into the original expression and simplify:

(7/4 - 8/3) - |1/6 - 3/4|

= (21/12 - 32/12) - 7/12 (converting fractions to have a common denominator)

= -11/12 - 7/12

= -18/12

= -3/2

Therefore, the value of the expression is -3/2.

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Answer:

What is Fraction ?

A fraction shows part of a whole. This whole can be a region or a collection. The word fraction is derived from the Latin word "fractio" which means 'to break'.

A proper fraction has a smaller numerator than the denominator, such as 2/3 or 5/8.

An improper fraction has a numerator that is equal to or greater than the denominator, such as 7/4 or 11/6.

A mixed number consists of a whole number and a proper fraction, such as 2 1/3 or 3 2/5.

Fractions are used in cooking, measuring, and financial calculations.

We can start by simplifying the expression inside the absolute value bars:

|1/6 - 3/4| = |(2/12) - (9/12)| = |-(7/12)| = 7/12

Now we can substitute

(7/4 - 8/3) - |1/6 - 3/4|

= (21/12 - 32/12) - 7/12 (converting fractions to have a common denominator)

= -11/12 - 7/12

= -18/12

= -3/2

Therefore, the value of the expression is -3/2.

Answer:

0.0376 or 3.76%.

Step-by-step explanation:

The probability of drawing a red marble on the first draw is 5/21 because there are 5 red marbles out of 21 total marbles in the bag.

After the first draw, there are only 20 marbles left in the bag, so the probability of drawing a red marble on the second draw, without replacement, is 4/20 or 1/5.

Similarly, after the second draw, there are only 19 marbles left in the bag, so the probability of drawing a red marble on the third draw, without replacement, is 3/19.

To find the probability of all three marbles being red, we need to multiply the probabilities of each individual draw together:

(5/21) x (1/5) x (3/19) = 15/399 or approximately 0.0376.

Therefore, the probability of drawing three red marbles in a row, without replacement, is about 0.0376 or 3.76%.

The speed of the person in miles per hour is S = 3 mph

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the speed of the person in miles per hour be S

Now , the distance traveled by the person D = 1/4 miles

The time taken by the person to travel ( 1/4 ) miles = 1/12 of an hour

Now , speed of the person in miles per hour S = distance traveled by the person D / time taken by the person to travel ( 1/4 ) miles

On simplifying , we get

The speed of the person in miles per hour S = ( 1/4 ) / ( 1/12 )

The speed of the person in miles per hour S = ( 1/4 ) x 12

The speed of the person in miles per hour S = 3 miles per hour

Hence , the speed is 3 mph

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The value of 1+1 is 2.

Addition is a fundamental operation in mathematics that involves combining two or more numbers or quantities to find a total or sum. The process of addition involves adding together individual digits, numbers, or quantities to find their sum or total.

In the simplest form of addition, two numbers are added together to find their sum. For example, 2 + 3 = 5, where 2 and 3 are the addends, and 5 is the sum. The order in which the addends are added does not affect the sum, so 3 + 2 = 5 as well.

Addition can be extended to more than two numbers by adding each pair of numbers in turn. For example, to find the sum of 2, 3, and 4, we can add 2 + 3 first, which equals 5, and then add 5 + 4 to get the final sum of 9.

Addition can be represented visually using symbols such as the plus sign (+) and the equals sign (=). The plus sign is used to indicate that two numbers are being added together, while the equals sign indicates that the sum has been found.

Addition is used in many different applications, from simple arithmetic to complex mathematical models. It is a fundamental skill that is taught early on in mathematics education and is essential for understanding more advanced concepts in algebra, calculus, and other branches of mathematics.

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This set {σ ∈ S4 : σ(1) = 3} contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23) and  {σ ∈ S4 : σ(2) = 2} this set contains the following elements of S4: (12), (21), (13)(24), (24)(13).

The group S4 is the symmetric group on 4 elements and has 24 elements. We can list all of its subgroups as follows:

Now, let's consider the sets (a) and (b) and see if they are subgroups of S4:

(a) {σ ∈ S4 : σ(1) = 3}

This set contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23). We can check that this set is not a subgroup of S4 because it is not closed under composition. For example, (13)(14) = (134) is not in the set.

(b) {σ ∈ S4 : σ(2) = 2}

This set contains the following elements of S4: (12), (21), (13)(24), (24)(13). We can check that this set is a subgroup of S4. It is closed under composition, inverses, and contains the identity element e. Therefore, it is a subgroup of S4 and is isomorphic to the cyclic group of order 2.

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Answer:

-12 + 4d

Step-by-step explanation:

(-3)4 - d(-4)

-12 - -4d

Answer:

Step-by-step explanation:

2X3x2Xx

Hyperbolic tan x is verified to equal to  

To verify the identity using the definitions of the hyperbolic functions, we start with the definition of hyperbolic tangent:

tanh x = sinh x / coxh x =  (e^x - e^-x) / (e^x + e^-x)

We can simplify this expression by multiplying the numerator and denominator by e^x:

tanh x = (e^x - e^-x) / (e^x + e^-x) * (e^x / e^x)

tanh x = (e^2x - 1) / (e^2x + 1)

We can see that this expression is equivalent to the given identity

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All frumpable numbers are odd Suppose n is an even integer so n^2 + 2n = (2k)^2 + 2(2k) = 4k^2 + 4k = 4k(k+1)

Natural numbers are: 1, 2, 3, ....

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Rational numbers are numbers which can be written in the form of \dfrac{a}{b} where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.

Irrational numbers are those real numbers which are not rational numbers.

Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

We are given that;

A integer n is frupable if n2 2n is odd

Now,

Suppose n is an even integer, so n = 2k for some integer k. Then:

n^2 + 2n = (2k)^2 + 2(2k) = 4k^2 + 4k = 4k(k+1)

Since k and k+1 are consecutive integers, one of them is even and the other is odd. Therefore, their product is even. This means that 4k(k+1) is even, and therefore, n^2 + 2n is even.

Since n^2 + 2n is even, it cannot be frumpable by definition. Therefore, if n is frumpable, n must be odd.

We have shown that if n is even, then n^2 + 2n is even and therefore, n cannot be frumpable.

Therefore, by the given numbers all frumpable numbers will be odd and n^2 + 2n = (2k)^2 + 2(2k) = 4k^2 + 4k = 4k(k+1)

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The percentage of women with weights that are within the limits is:

60.93%

Can be calculated using the normal distribution formula. First, we need to find the z-scores for both the lower and upper limits:

z-score for lower limit = (132.4 - 168.7) / 48.8 = -0.74

z-score for upper limit = (217 - 168.7) / 48.8 = 0.99

Next, we can use a z-table to find the corresponding probabilities for these z-scores:

Probability for lower limit = 0.2296

Probability for upper limit = 0.8389

Finally, we can subtract the lower probability from the upper probability to find the percentage of women with weights that are within those limits:
Percentage = 0.8389 - 0.2296 = 0.6093

Therefore, approximately 60.93% of women have weights that are within the limits of 132.4 lb and 217 lb.

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The area of the second circle can be represented as: [tex]2122\pi + 52[/tex] square cm.

In mathematics, a function is a mathematical rule that assigns a unique output (also called the function value) to each input (also called the argument or independent variable) in its domain. A function is often denoted using functional notation, such as f(x), where f is the function name and x is the input variable.

A function can be represented graphically as a set of ordered pairs (x, f(x)) that show the relationship between the input values and the corresponding output values. The set of all possible input values for a function is called the domain, and the set of all possible output values is called the range.

For example, the function f(x) = 2x + 1 takes an input value x and produces an output value of 2x + 1. If we input x = 3 into the function, we get f(3) = 2(3) + 1 = 7. Similarly, if we input x = -2, we get f(-2) = 2(-2) + 1 = -3. In this case, the domain of the function is all real numbers, and the range is also all real numbers.

Functions can be linear or nonlinear, and they can have different properties such as continuity, differentiability, and periodicity. They are used extensively in mathematics, science, engineering, and economics to model and analyze relationships between variables, as well as to solve equations and optimize solutions.

The area of the first circle with radius r is given by:

[tex]f(r) = \pi r^2[/tex]

The area of the second circle with radius 26 cm is given by:

[tex]f(26) + 52[/tex]

Therefore, the area of the second circle can be represented as:

[tex]f(26) + 52 = \pi(26)^2 + 52 = 2122\pi + 52 $ square cm$[/tex]

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The original salary was approximately $45,180.72.

Prior to a percentage increase or decrease, one must ascertain the beginning value of an amount: The amount must be represented as a percentage of the initial sum. Determine one percent of the starting sum. The original value may be obtained by multiplying by 100 because 100% is the original sum.

We can use algebra to resolve this issue. Let x represent the starting wage.

The issue states that following a 66% raise, the new compensation is $75,000 Mathematically, this can be expressed as:

x + 0.66x = 75000

By merging similar phrases to simplify the left side, we obtain:

1.66x = 75000

Finally, by multiplying both sides by 1.66, we can find the value of x:

x = 75000/1.66

x ≈ 45,180.72

Hence, the initial wage was roughly $45,180.72.

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Bobby used deductive reasoning because he started with a stated fact and used logical steps to arrive at the desired conclusion.

Elaine used proof by contradiction because she made the assumption that the opposite of the desired conclusion and showed that it led to a contradiction, which gives further proof that the original assumption must be true.

Deductive reasoning is described as formal system in which  an abstract structure is used for inferring theorems from axioms according to a set of rules.

The set rules are used for carrying out the inference of theorems from axioms, which are then seen as the logical calculus of the formal system.

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Aircraft A has 496 seats and Aircraft B has 347 seats.

Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.

To find the number of seats for each aircraft, we can use the equation 643 = 496 + 147. From this equation, we can see that aircraft A has 496 seats and aircraft B has 147 seats.

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Answer: The side of the square is 20 miles

Step-by-step explanation:

Since the area of square= side *side

given, area =400 square miles

400 = side *side

400= side²

√400=side

20 miles=side

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Answer:

Using the ratio given, we know that for every 5 colored pencils, there are 2 markers in each box.

Therefore:

The first blank represents the number of colored pencils in the box. Since the ratio of colored pencils to markers is 5 to 2, we can calculate that there are 5 colored pencils for every 2 markers. This means that for each box, there are 5/7 of the total number of items are colored pencils. So the missing value in the first row is 25.

The second row indicates that there are 20 items in the box. We know that the first row (colored pencils) has 25 items, and since the total number of items in the box is 20, the missing value in the second row (markers) is 20 - 25/5 = 15.

The third row represents the total number of colored pencils and markers in each box. We know that there are 25 colored pencils and 15 markers in each box, so the total number of items in each box is 40.

Therefore, the completed table would be:

Number of Colored | 25 | 20 | 25 |

Pencils

Number of Markers | 6 | 15 | 6 |

Total Number of

Colored Pencils and | 31 | 35 | 40 |

Markers in the Box​

Answer:

  10x -25

Step-by-step explanation:

You want to simplify the expression ...

  3x+6+x-2+8(x-3)+-4-4+x+1+-2(x+2)+6+7x+-8x

First, we use the distributive property to eliminate parentheses:

  3x+6+x-2+8x-24+-4-4+x+1+-2x-4+6+7x+-8x

Now, we group x-terms and constant terms:

  (3 +1 +8 +1 -2 +7 -8)x +(6 -2 -24 -4 -4 +1 -4 +6)

Finally, we perform the sums:

  10x -25

__

Additional comment

This sort of problem can be described as "tedious, but not difficult."

The three vertices will give us the dilated figure.

First we find the slope of the line that would pass through the point of dilation, (-3, 0), and each vertex.

From (-3, 0) to (5, 4), the slope would be

m = (4-0)/(5--3) = 4/8

Since the scale factor is 1/2, this means each part of the slope would be multiplied by this scale factor:

(4(1/2))/(8(1/2)) = 2/4

This means from our point of dilation we count up 2 and over 4; this puts the new point at (-3+4, 0+2) = (1, 2).

From (-3, 0) to (3, 8) the slope is

m = (8-0)/(3--3) = 8/6

Multiplying the rise and run by 1/2, we have

(8(1/2))/(6(1/2)) = 4/3

This means the dilated point would be up 4 and over 3 from (-3, 0), putting it at (-3+3, 0+4) = (0, 4).

From (-3, 0) to (-5, 4), the slope is

m = (4-0)/(-5--3) = 4/-2.

Multiplying the rise and run by 1/2, we have

(4(1/2))/(-2(1/2)) = 2/-1

This means the dilated point would be up 2 and over -1 from (-3, 0), putting it at (-3+-1, 0+2) = (-4, 2).

These three vertices give us the dilated figure.

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Answer:

Third side > 13 - 8 = 5 cm. Therefore, the length of the third side is between 5 cm and 9 cm, respectively.

Step-by-step explanation:

Answer:21>c>5

Step-by-step explanation:

a+b>c>a-b

so,

13+8>c>13-8

21>c>5

The solution of the trigonometric equation for θ is given as follows:

θ = 80º.

The trigonometric equation for this problem is defined as follows:

sin(θ - 70) = cos(θ).

When two angles are complementary, that is, the sum of their measures is of 90º, we have that the sine of one angle is equals to the cosine of the other angle.

The angles for this problem are given as follows:

As the sine of one is equals to the cosine of the other, they are complementary, hence the angle θ is obtained as follows:

θ - 70 + θ = 90

2θ = 160

θ = 160/2

θ = 80.

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The standard deviation is 1.32

We can use the binomial distribution to calculate the probability of making a certain number of shots. The formula for the standard deviation of a binomial distribution is:

σ = √(np(1-p))

Where σ is the standard deviation, n is the number of trials (in this case, 10), p is the probability of success on each trial (0.39, or 39%), and (1-p) is the probability of failure on each trial (0.61, or 61%).

So, plugging in our values:

σ = √(10 * 0.39 * 0.61)

σ ≈ 1.32

In other words, if the player takes 10 free throws, we would expect her to make between 2 and 6 of them about 68% of the time.

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