help me with this math question plz

(a) If the degree of P is less than the degree of Q, the limit is 0. (b) If the degree of P is greater than the degree of Q, the limit is either [infinity] or -[infinity], depending on the leading coefficients.

(a) If the degree of polynomial P is less than the degree of polynomial Q, as x approaches infinity, the leading term of Q(x) dominates the expression. Since both P and Q have positive leading coefficients, the limit of P(x) / Q(x) as x approaches infinity is 0. The higher degree terms in Q grow faster, making the contribution from P negligible in comparison.

(b) If the degree of polynomial P is greater than the degree of polynomial Q, the limit of P(x) / Q(x) as x approaches infinity depends on the leading coefficients of P and Q. If the leading coefficients of both P and Q are positive, the limit will be [infinity]. If the leading coefficients have opposite signs, the limit will be -[infinity]. In both cases, the higher degree terms in P dominate the expression as x grows large.

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3 ¼= 3.25 and 9 ¼ = 9.25

9.25-3.25=6

Answer: 6

Answer:

Not really. No.

Step-by-step explanation:

15.3 in scientific notation would be represented as "1.53e+1." 15.3 isn't a very large or tiny number. Usually numbers that would be represented by scientific notation would be numbers such as "600,000,000" or "0.00000012" etc. 15.3 is just a standard decimal so it's not really practical.

Hope this helps and have a nice day!

Answer:

Use a calculator for you to get an answer

Answer:

The answer is m<27 or ((-∞)infinity symbol, 27)

Step-by-step explanation:

Multiply to remove the fraction, then set equal to ) and solve

Answer:

14 feet and 3 inches

Step-by-step explanation:

Answer:

14.25ft

171 in

Step-by-step explanation:

Step 1

Use the law that the sum of angles on a straight line is 180° to find y given that x = 42°

Step 2

Using the law

x + y = 180°

After substitution

42 + y = 180

y = 180 - 42

y =138°

Answer:

  (d)  perpendicular bisectors

Step-by-step explanation:

The circumcenter is the center of the circumcircle of the triangle. Each vertex of the triangle lies on that circle. The sides of the triangle are chords of the circle.

The perpendicular bisector of a chord is a line that intersects the center of the circle containing the chord. Hence, the perpendicular bisectors of the sides of a triangle will intersect the circumcenter.

The value of the triple integral is -16.

Triple integral is a mathematical concept used in calculus to calculate the volume of three-dimensional objects. It extends the concept of a single integral to functions of three variables and integrates over a region in three-dimensional space.

The triple integral of a function f(x, y, z) over a region E in three-dimensional space is denoted by:

∭E f(x, y, z) dV

We can set up the triple integral as follows:

∫∫∫ 16y dV

Where the limits of integration are:

0 ≤ x ≤ 2

0 ≤ y ≤ (2- \(x^2\)z)/(2y)

0 ≤ z ≤ 2/\(x^{2y\)

Note that the upper bound of integration for y is not a constant, but depends on both x and z.

Integrating with respect to y first, we get:

∫∫∫ 16y dV = ∫0^2 ∫\(0^(2-x^2z)/(2x)\)∫\(0^(2/x^2y) 16y dz dy dx\)

= ∫\(0^2\) ∫\(0^(2-x^2z)/(2x) 32/x dx dz\)

= ∫\(0^2\) [16(\(2-x^2z)/x^2\)] dz

= ∫\(0^2 (32/x^2 - 16z)\) dz

= 32∫\(0^2 x^-2 dx - 16\)∫\(0^2\)z dz

= 16 - 16(2)

= -16

Therefore, the value of the triple integral is -16.

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Answer:

Step-by-step explanation:

30/7

74/9

47/7

Answer:

a=30°; b=40°;c=40°; d=40°; e=110°: f=110°; g=30°; h=140°; i=70°; j=70°

7.13 square inches is the area of the circle greater than the area of the square

area of a circle is pir^2 = pi*2.5^2

side of the square by Pythagoras

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

5^2 = 2x^2

x^2 = 12.5 = area of the square

area of circle = pi * 6.25 = 19.63

difference in areas = 19.63 - 12.5 = 7.13 sq ins

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Answers:

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

Work Shown:

Plug in x = -5. Use PEMDAS to simplify

f(x) = |3x-2|

f(-5) = |3(-5)-2| ... replace every x with -5

f(-5) = |-15-2|

f(-5) = |-17|

f(-5) = 17

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

Repeat for x = 7

f(x) = |3x-2|

f(7) = |3*7-2| ... replace every x with 7

f(7) = |21-2|

f(7) = |19|

f(7) = 19

Using trigonometric identities, it is found that the exact value of the secant of the angle is given by:

c. \(\sec{\theta} = - \sqrt{5}\)

According to the following identity:

\(\sec^2{\theta} = 1 + \tan^2{\theta}\)

The tangent is the inverse of the cotangent, hence in this problem, we have that:

\(\tan{\theta} = -2\)

Then, the secant is given as follows:

\(\sec^2{\theta} = 1 + (-2)^2\)

\(\sec^2{\theta} = 5\)

\(\sec{\theta} = \pm \sqrt{5}\)

The angle is in the second quadrant, where the cosine is negative, hence the secant also is and option c is correct, that is:

c. \(\sec{\theta} = - \sqrt{5}\)

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Answer:

Total Cost (p) = 90 + 14p

For 70 people = $1070

Step-by-step explanation:

Let p stand for the number of people attending the banquet

Fixed cost = $90

Variable cost = $14p

Total Cost (p) = 90 + 14p

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

Cost for 70 people (p=70)

Total Cost = $90 + $14(70)

Total = $1070

Answer:

60

Step-by-step explanation:

lets say the number is X so:

X-3/4X=15

then multiple both sides by 4 then you will get

4X-3X=60

SO:X=60

Answer:

Step-by-step explanation:

let x be the number that we are trying to figure out.

the statement “The difference between a number and three fourths of itself is 15”  means  x + (3/4)x = 15

then

(1/4)x = 15

Then

x = 4 × 15

Then

x = 60

The complete factorisation of 50a²b⁵ − 35a⁴b³ + 5a³b⁴ is 5a²b³(10b² - 7a² + ab)

Factorisation is the process of writing an expression as a product of two or more common factors.

The expression is written as a product of several factor.

Therefore,

50a²b⁵ − 35a⁴b³ + 5a³b⁴

Hence, the complete factorisation is as follows;

5a²b³(10b² - 7a² + ab)

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The logical expression that represents the statement "Despite the fact that it is sunny today, I will bring my umbrella" is (B) s∧m.

The logical expression that represents the statement "Despite the fact that it is sunny today, I will bring my umbrella" is (B) s∧m. This is because the conjunction "and" (∧) is used to connect two statements that must both be true in order for the overall statement to be true. In this case, both s (It is sunny today) and m (I will bring my umbrella) must be true in order for the statement to be true.

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(B) s∧m, which represents the logical expression for "Despite the fact that it is sunny today, I will bring my umbrella."


The logical operator ∧ (conjunction) connects two propositions and represents the idea of "and." Therefore, s∧m means "It is sunny today and I will bring my umbrella." This is the logical expression that represents the statement given in the question.


To summarize, the correct answer is (B) s∧m, which represents the logical expression for "Despite the fact that it is sunny today, I will bring my umbrella."
Main Answer: The correct logical expression is (B) s∧m.

In the given statement, "Despite the fact that it is sunny today, I will bring my umbrella," both propositions s (It is sunny today) and m (I will bring my umbrella) are true at the same time. The logical expression that represents this is s∧m, which means "s AND m" are both true.

The statement "Despite the fact that it is sunny today, I will bring my umbrella" is best represented by the logical expression (B) s∧m, as it shows that both s and m are true.

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Answer/Step-by-step explanation:

43 = (4 * 101) + (3 * 100)

43 = (4 * 10) + (3 * 1)

43 = 40 + 3

Answer:

p=q

Step-by-step explanation:

the second statement must be true.

Answer:

I(1/2;1)

Step-by-step explanation:

if the midpoint is I(x;y)

=> \(\left \{ {{y=\frac{5-3}{2}=1 } \atop {x=\frac{-1+2}{2}=\frac{1}{2} }} \right.\)

=> I(1/2;1)

The first one is C

The second one is YES

To get equation b from a, you have to divide by three, which is the non zero constant.

Both equations do give the same answer because if you divide first one(a) by 3, you will end up with the second(b).

Hope this helps

Answer: (1,0)

Step-by-step explanation:

On the graph of average daily temperatures, the temperature that is within one standard deviation of the mean is 22 degrees Celsius. The difference between the highest value and the data set's mean, divided by two, is the standard deviation.

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Answer: 22 degrees

Step-by-step explanation:

i think

Answer:

82.5°

Step-by-step explanation:

This is the case of a isosceles triangle , as you may know in a isosceles triangle , there are two sides of equal length as well as two equal angles.

You know that the sum of angles in a triangle is 180°, therefore it comes to this equation :

15° + 2x = 180°

2x = 165°

x = 82.5°

therefore 82.5° is the correct answer.

Answer:

22.7

Step-by-step explanation:

6.83 x 10¹ is 68.3, 9.1 x 10¹ is 91, 68.3 - 91 is 22.7

Answer:

6739/100

Step-by-step explanation:

heres how i got that answer

first step

any expression raised to the power of 1 equals its self. remove unnecessary parentheses

(6.83 x 10) - 9.1 x 10^-1

second step

6.83 x 10 = 68.3 then make the other decimal into a fraction so 91 over 10 or 91/10 any expression raised to the power of - 1 equals its reciprocal so now you have

68.3 - 91/10 x 1/10

third step

convert the decimal into a fraction 683/10

then multiple 91/10 and 1/10 to get 91/100

so now you should have 683/10 - 91/100

last step

subtract the fractions giving you

6739 over 100

Answer:

4.50

Step-by-step explanation:

The explanation is attached below.

Answer:

1/4

Step-by-step explanation:

11/44 = 1/4

Divide the numerator and the denominator by 11

11 ÷ 11 / 44 ÷ 11

1/4

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

1/4

Step-by-step explanation:

11/11= 1, 44/11= 4

Systematic sampling offers several advantages. It is relatively easy to implement and eliminates bias that may arise from the subjective selection of participants.

The sampling method described in the scenario is called systematic sampling.

Systematic sampling involves selecting every nth element from a population after randomly selecting a starting point. In this case, the store manager randomly chooses a shopper entering the store as the starting point and then proceeds to interview every 20th person after that initial selection.

Systematic sampling offers several advantages. It is relatively easy to implement and eliminates bias that may arise from the subjective selection of participants. By ensuring a regular interval between selections, systematic sampling provides a representative sample from the population.

However, it's important to note that systematic sampling can introduce a form of bias if there is any periodicity or pattern in the population. For example, if the store experiences a peak in customer traffic during specific time periods, the systematic sampling method might overrepresent or underrepresent certain groups of shoppers.

To minimize this potential bias, the store manager could randomly select the starting point for the systematic sampling at different times of the day or on different days of the week. This would help ensure a more representative sample and reduce the impact of any inherent patterns or periodicities in customer behavior.

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To rewrite the quadratic function y = -9(x-1)²-6 in standard form, we need to expand the squared term and simplify the expression. Here are the steps:

Distribute the negative sign to the squared term: y = -9(x² - 2x + 1) - 6

Multiply -9 by each term inside the parentheses: y = -9x² + 18x - 9 - 6

Combine the constants: y = -9x² + 18x - 15

Therefore, the standard form of the quadratic function y = -9(x-1)²-6 is y = -9x² + 18x - 15.

Answer:

y = -9x\(x^{2}\)  + 18x - 15

Step-by-step explanation: