a) The temperature in the morning was - 12º.
How many degrees warmer is - 9°?

The integral ∫[0,6] 1/x dx is divergent, An integral is said to be divergent if it does not have a finite value.

The given integral is:

\(∫[0,6] 1/x dx\)

We know that the integral of 1/x is ln(x), and the antiderivative of ln(x) is xln(x) - x.

So, applying the limits of integration, we get:

\(∫[0,6] 1/x dx = ln(x)|[0,6] = ln(6) - ln(0)\)

The natural logarithm of zero is unclear, so the indispensably isn't characterized at x = 0. In this manner, the indispensability is unique.

An integral is said to be divergent in the event that it does not have limited esteem. In other words, on the off chance that the fundamentally does not meet a genuine number, it is said to be unique.

There are a few reasons why a fundamentally may be unique. A few common reasons incorporate:

The integrand gets to be unbounded at a few points inside the limits of integration.

The integrand does not approach zero as the constraint of integration approaches boundlessness.

The limits of integration are interminable, and the integrand does not merge to a limited esteem as the limits approach interminability.

When an indispensably is disparate, it implies that the zone beneath the bend is interminable or does not exist.

This could have imperative suggestions in ranges such as material science and designing, where integrands are utilized to calculate amounts such as work, energy, and a liquid stream. 

Thus, the answer is (b) Divergent. 

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Answer:

The measure of the Arc BC is 80

  The point that divides a line segment into two equal halves is known as the midway.

    We can use a formula that incorporates some of the slope of the line segment to get the point P that partitions the line segment suitably given a line segment AB and a partitioning ratio a/b. P is thus defined as (x1 + c(x2 - x1), y1 + c(y2 - y1)).

  P(x1, y1) and Q are two things to consider (x2, y2). Finding the coordinates of the point R that divides PQ in the ratio m: n is necessary because PR/RQ = m/n. Given the ratio, the point R can either be outside of the segment PQ or between P and Q.

      Two points on a line, for instance, equal one line segment; three points, three segments; five points, ten segments.

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Answer:

y - 6 = 5 ( x - 2 )

Step-by-step explanation:

You just substitute in the x and y values into the equation so it would be

y - 6 = 5 ( x - 2 )

Answer:

y-6=5(x-2)

Step-by-step explanation:

because the set up is y1-y2 = b(x1-x2)

b= slope

x1 and y1 are another point and x2 and y2 are the point given.

I hope this helps!

32(-5) + 0 + 160 = 0 is the line in the general form of the line the passing through (−5,0) with the slope 32.

A number that describes a line's direction and steepness is known as the slope or gradient of a line in mathematics. There is no obvious reason why the letter m is used to represent slope, although it first appears in English in O'Brien (1844), who wrote the equation for a straight line as "y = mx + b," and it may also be found in Todhunter (1888), who wrote it as "y = mx + c."

Let us write the given data in slope-intercept form that is

y = m(x) + b

where m = slope of the line

b = y-intercept

So substituting the values we get

0 = 32(-5) + b

-b = -160

b = 160

so we have the slope intercept form

0 = 32(-5) + 160

Converting this to General form

ax + by + c = 0

32(-5) + 0 + 160 = 0

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Translated question

Given the following conditions, determine the equation of the line in its general form Ax+By+C=0.

It passes through (−5,0) and has slope m=32.

Answer:

yes

Step-by-step explanation:

no

Answer:

Slope = 4/3x; y-intercept = -1

Step-by-step explanation:

y + 1 = 4/3x

You have to write this equation in slope-intercept form (solve for y) if you want to find the slope and y-intercept

y + 1 = 4/3x

Subtract one from both sides

y + 1 - 1 = 4/3x - 1

y = 4/3x - 1

Now that we have the equation, you can now find the slope and y-intercept

y = mx + b; m is the slope and b is the y-intercept

So for y = 4/3x - 1, the slope is 4/3x and the y-intercept is -1

Answer:

25%

Step-by-step explanation:

50+30 = 80

15 + 5 = 20

20/80 = 0.25, or 25%

Answer:

25% of cupcakes have cream filling

Step-by-step explanation:

15+5=20

50+30=80

20÷80=0.25

0.25×100=25

Answer:

14 is the answer

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.

(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.

To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.

Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.

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The equation of the exponential function is\(4 * 3^{x}\).

What is exponential function?

An exponential function is  of the form:

\(f(x) = a^{x}\)

here "a" is a constant called the base, and "x" is the variable. The base "a" is typically a positive real number, but it can also be a negative number or a complex number. The function is called exponential because the variable "x" appears in the exponent.

We can see that as "x" increases by 1, "y" is multiplied by a constant factor of 3. This suggests that the exponential function has a base of 3. To find the equation, we can use the general form of an exponential function:

\(y = a * b^{x}\)

where "a" is the initial value or y-intercept, and "b" is the base.

We can use the given values of (x,y) to form a system of equations:

\(a * 3^{0} = 4\)

\(a * 3^{1} = 12\)

\(a * 3^{2} = 36\)

\(a * 3^{3} = 108\)

Simplifying each equation, we get:

a = 4

3a = 12

9a = 36

27a = 108

Solving for "a", we get:

a = 4

Substituting this value of "a" into the equation, we get:

\(y = 4 * 3^{x}\)

So the equation of the exponential function represented by the table is y \(= 4 * 3^{x}.\)

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Answer: try B

Step-by-step explanation:

Answer & Step-by-step explanation:

In order to calculate the area of a triangle, you must multiply the base by the height and divide it by 2. If you know how to work out the area of a rectangle, you should be able to easily work out the area of a triangle because a triangle is basically half of a rectangle or square. Therefore, you should use the same method of finding the area of a rectangle and then dividing it by 2 as it's half of a rectangle. I hope that makes sense!

Answer: this is the area for triangle

Answer:

less than

Step-by-step explanation:

The two positive coterminal angles are 180° and 540°, the two negative ones are -900° and -180°.

For any given angle A, the family of coterminal angles can be written as:

B = A + n*360°

Where n can be any integer number.

Here we want to find angles coterminal to -540°, so we have the relation:

B = -540° + n*360°

if n = -1 we get:

B = -540° - 1*360° = -900°

if n = 1

B = -540° + 1*360° = -180°

if n = 2

B = -540° + 2*360° = 180°

if n = 3

B =  -540° + 3*360° = 540°

These are the 4 coterminal angles on the given range.

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The Correct answer is A. (-4,1) ordered pair generated by this model should be discarded because the values are unreasonable.

In algebra, a quadratic equation (from Latin quadratus 'rectangular') is any equation that can be rearranged in well-known form as ax²+bx+c=0 Where x represents an unknown value, and a, b, and c constitute recognized numbers.

One supposes usually that a ≠ zero; the one's equations with a = zero are taken into consideration degenerate because the equation then will become linear or even simpler. The numbers a, b, and c are the coefficients of the equation and can be prominent with the aid of calling them, respectively, the quadratic coefficient, the linear coefficient, and the consistent or loose time period.

The values of x that satisfy the equation are referred to as answers to the equation, and roots or zeros of the expression on its left-hand aspect. A quadratic equation has at most two answers. If there is handiest one solution, one says that it's miles a double root. If all the coefficients are real numbers, there are both actual solutions, a single actual double root, or two complicated answers which can be complicated conjugates of each other.

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Complete Question:

Louis used a quadratic equation to model the height, y, of a falling object x seconds after it is dropped. which ordered pair generated by this model should be discarded because the values are unreasonable?

Answer:

(x + 5) B. (x - 5) C. (x + 3) D. (x - 3) = = 0

Step-by-step explanation:

The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.

Rules for expressions with fractions:

Fractions - use the slash “/” between the numerator and denominator, i.e., for five-hundredths, enter 5/100. If you are using mixed numbers, be sure to leave a single space between the whole and fraction part.

The slash separates the numerator (number above a fraction line) and denominator (number below).

Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.

Because slash is both signs for fraction line and division, we recommended use colon (:) as the operator of division fractions i.e., 1/2 : 3.

Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

The colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.

An asterisk * or × is the symbol for multiplication.

Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.

The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2

Answer:

The measured side is not shown, so i will answer in a general way.

A cube is a 3-dimensional object with 6 square faces.

You know that all the sides of a square have the same length, then is the same for the cube.

To calculate the volume of a cube, we start with the area of the base.

The base is a square of sidelength L (Suppose that L is the length of the measured side)

The area of the base is:

A = L^2.

To find the volume, we must multiply the area of the base by the height of the fire (because the section of the base does not change).

And the height of the cube is also L.

Then the volume is:

V = L*a = L^3

Answer:

(x - 4)(x - 12)

Step-by-step explanation:

Given

x² - 16x + 48

Consider the factors of the constant term (+ 48) which sum to give the coefficient of the x- term (- 16)

The factors are - 4 and - 12, since

- 4 × - 12 = + 48 and - 4 - 12 = - 16 , thus

x² - 16x + 48 = (x - 4)(x - 12)

Answer:

the correct option is (x-4)(x-12)

Step by Step explanation:-

x^2-16x+48

x^2-12x-4x+48

by taking the common factor out,

x(x-12)-4(x-12)

(x-4)(x-12)

Hope it helps you!

\(\dfrac{0.25}a = -0.25\\\\\implies 0.25 = -0.25 a\\\\\implies a = \dfrac{0.25}{-0.25} =-1\\\\\\\text{Hence the answer is}~ -1.\)

Answer:

well, when you divide 1/.25 you get 4 so 1^.25 is the correct answer to all questions where you need to find the answer

Step-by-step explanation:

Step-by-step explanation:

here is the answer babe. Feel free to ask for more help

Answer:

L bozo just know the asnwer EZ

Step-by-step explanation:

COPE

Answer:

23 degrees

Step-by-step explanation:

90+23-90=23

9514 1404 393

Answer:

  23°

Step-by-step explanation:

Both angles YAO and KAT are complementary to angle OAK, so are congruent.

  ∠YAO = ∠KAT = 23°

Answer: Unless I am missing something, there are no solutions

(guessing you need to solve for x)

(given) 2 - 2x - 4= –2x + 5 ​

(combine like terms) -2 -2x = -2x + 5

(add 2 to both sides) -2x = -2x + 5

Two ways to go from here:

(subtract 2x from both sides) 0 = 7 which I think means no solutions

Or you try to figure something out, but I am not sure what that would be currently, it's been a bit since I've done this, good luck!

Answer:

Step-by-step explanation:

The total area of ​​the prism: A = 2 [3h² + 21h + 24]

The volume of the prism: V = h³ + 11h² + 24h

The area of ​​a rectangular prism is calculated by knowing the sides of the rectangular base (a and b) and its height (h)

A = 2 (ab + ah + bh)

The volume of a rectangular prism is calculated as the product of its dimensions:

V = a * b * h

b- a = 5 ⇒b = 5 + a  

Answer:

30 square inches

Step-by-step explanation:

Answer (x represents the first direction and the y represents the second direction):

I hope this helps!

The required subtraction problem that is represented on the number line is 3 -(-5). Option B is correct.

Given that,
To determine the subtraction problem that is represented on the number line.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
The line marked above the number line from -5 to 3
The subtraction problem would be given as 3 - (-5)

Thus, the required subtraction problem that is represented on the number line is 3 -(-5). Option B is correct.

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Since questions seem to be incomplete,

The given solution is based on the question given below,
Which subtraction problem is represented by the number line?

A: 3-5

B: 3 - (-5)

C: 3-8

D: 3-(-8)

The probability distributions whose graphs can be approximated by bell-shaped curves are commonly known as normal distributions or Gaussian distributions.

These distributions are characterized by their symmetrical shape and the majority of their data falling within a certain range around the mean. The normal distribution is widely used in statistics and is a fundamental concept in many fields of study, including psychology, economics, and engineering. The normal distribution is also known for its many practical applications, such as predicting test scores, stock prices, and medical diagnoses. In summary, the bell-shaped curve is a useful tool in probability theory that can help us understand and make predictions about a wide range of phenomena. The probability distributions whose graphs can be approximated by bell-shaped curves are called Normal Distributions or Gaussian Distributions. They have a symmetrical shape and are characterized by their mean (µ) and standard deviation (σ), which determine the central location and the spread of the distribution, respectively.

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