Q1/ Estimate the root of the following function by using Newton- Raphson iteration method: y=e^-4x+log 10; consider (X0=0.6)

True, free bilirubin is transported by the blood to the liver.

Macrophages begin the disposal of hemoglobin by separating the heme from the globin. They hydrolyze the globin into free amino acids, which can be used for energy-releasing catabolism or recycled for protein synthesis.

Bilirubin

Bilirubin is a red-orange compound that occurs in the normal catabolic pathway that breaks down heme in vertebrates. This catabolism is a necessary process in the body's clearance of waste products that arise from the destruction of aged or abnormal red blood cells.

Hemoglobin

Hemoglobin is a protein in your red blood cells that carries oxygen to your body's organs and tissues and transports carbon dioxide from your organs and tissues back to your lungs.

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Since the mean for driver A is greater than the mean for dirver B, we have that the true statement is "the mean nmber of deliveries for driver A is more than the mean for driver B by 2 MADs"

Answer:

m<ABC > m<ACB (angle property of a triangle)

Step-by-step explanation:

Given that: ΔABC

                  AB = AX

Prove: m<ABC > m<ACB

From the given diagram,

ΔABX is an isosceles triangle (two congruent sides and angles)

<AXB = m<ABX = \(90^{o}\) (isosceles triangle property)

AC = AX + XC

Thus,

AC > AB

m<ABC = m1 + m3 ≥  \(90^{o}\)

m<ACB < \(90^{o}\) (acute angle property)

Therefore since in a triangle the longest side is opposite to the greatest angle, then;

m<ABC > m<ACB (angle property of a triangle)

By the definition of congruent triangles, the value of x is 19.

From the question, we are to determine the value of x.

From the given information, we have that

DF bisects EDG

Thus,

∠ EDF ≅ ∠GDF

Hence, ΔDFE ≅ ΔDFG

Since the triangle DFE is congruent to triangle DFG,

Then,

EF = GF

9x + 114 = 15x

Now, solve for x

9x + 114 = 15x

subtract 9x from both sides of the equation

9x - 9x + 114 = 15x - 9x

114 = 6x

x = 114/6

x = 19

Hence, the value of x is 19

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The given statement "The median of a quantitative data set is always one of the individual data values" is false.

When a given data set is arranged in ascending order the observation which at the between of the data is the median of that data set. It is a value in the set whose left and right both have the same number of observations.

The given statement is not true, this is because the median is the mid-value of any data set.

Hence, the given statement "The median of a quantitative data set is always one of the individual data values" is false.

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Answer:

3 1/3  I am assuming that you cannot by 1/3 of an aubergines, so you would need to buy 4.  if you can buy a partial one then it would be 3 1/3

Step-by-step explanation:

\(\frac{1}{3}\) = \(\frac{a}{10}\)    Set up a proportion and then cross multiply and solve for a

3a = 10  Divide both sides by 3

a = \(\frac{10}{3}\) = 3 1/3

Answer:

2.25

Step-by-step explanation:

If you divide any of the bigger numbers on the bottom by the bigger numbers on top, you would get 2.25 no matter what.

The mean of the following data 0,5,30,25,16,18,19,26,0,20,28 is 17.

Hence option D is the correct option.

Mean is the average value of a given set of data. It is calculated by the formula,

Mean =  {Summation of all the values in the data set} / {Number of observations is the data set}

That is, Mean = {Σ all values in the data set} / {number of observations}

The given data set is as follows,

0,5,30,25,16,18,19,26,0,20,28

The number of observations in the data set is 11.

The summation of all the values in the data set is = {0 + 5 + 30 + 25 +
16 + 18 + 19 +26 + 0 + 20 + 28} = 187

Therefore, by applying  the formula of Mean we get

Mean = 187/ 11 = 17

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t + 14 = 2712 this is the answer i did this one

n must be 0, since x ⁿ = 1 for all positive, real x if n = 0. So the answer is A.

Answer: I hope this answer your question

Step-by-step explanation: Have a brilliant day mate- Lily ^_^

The statement that is true about the function is -

D: F(x) > 0 over the interval (-∞, -4)

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

Since the curved line has a minimum value of (negative 2.5, negative 12) and a maximum value of (0, negative 3), we know that the function must be decreasing from left to right over the interval from negative infinity to negative 2.5, then increasing from negative 2.5 to 0.

Since the graph crosses the y-axis at (0, negative 3), we know that the function takes the value of negative 3 when x equals 0.

Also, since the graph crosses the x-axis at (negative 4, 0), we know that the function takes the value of 0 when x equals negative 4.

Since the function is decreasing from negative infinity to negative 2.5, and the y-value of the curve is always negative, we know that F(x) < 0 over the interval (-∞, -2.5).

Since the function is increasing from negative 2.5 to 0, and the y-value of the curve is always negative, we know that F(x) < 0 over the interval (-2.5, 0).

Since the function takes the value of negative 3 when x equals 0, we know that F(0) = negative 3, which means that F(x) < 0 over the interval (-∞, 0).

Since the function takes the value of 0 when x equals negative 4, we know that F(-4) = 0, which means that F(x) > 0 over the interval (-∞,-4).

Therefore, F(x) > 0 over the interval (-∞, -4) is true.

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Answer: U should try a video because i can't do exponents on my computer and i don't have time to write it.

Step-by-step explanation:

The factor of the given expression is (C) (x + 3).

In mathematics, a divisor of an integer n, often termed a factor of n, is an integer m that may be multiplied by some number to generate n.

In this scenario, one also asserts that n is a multiple of m.

A factor is a number that is multiplied by another number to produce the desired result.

A product is a solution to a multiplication problem.

Think of a multiplication problem as components being combined to find a product.

So, we have:

3x^3+18x^2+27x

Now, take the factors out as follows:

3x^3+18x^2+27x

3x(x²+6x+9)

3x(x+3)²

Factors:  (x + 3)

Therefore, the factor of the given expression is (C) (x + 3).

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Complete question;
Which of the following is a factor of 3x3 + 18x2 + 27x?

a. 9x

b. x3

c. x + 3

d. x - 3

Answer:

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Part A :

If a function is linear, then the function values have equal differences.

If a function is exponential, the function values have equal ratios.

For car 1 :

36450 / 40,500 = 9/10

32805 / 36450 = 9/10

Values of car have equal ratios.

This is exponential function.

For car 2 :

39000 - 42000 = -3000

36000 - 39000 = -3000

Values of car have equal differences

This is linear function.

Part B :

The initial value of car is 45,000.

For car 1 :

f(1) = 40,500, f(2) = 36,450, ............

For car 2 :

f(1) = 42,000, f(2) = 39,000, ..........

Part C :

For car 1 :

f(13) =   = 11438.396

For car 2 :

f(13) =  = 6000

There is a significant difference in the values of the car after 13 years. The value of the car 1 is greater.

Hence the value of the car 1 is described by an exponential function and that of car 2 by linear function. The value of car 1 is greater after 13 years.

Step-by-step explanation:

Answer:

C. tan B

Step-by-step explanation:

In ∆ABC, if angle A is 45 degrees and angle C is also 45 degrees, then the triangle is an isosceles right triangle. In such a triangle, the legs (the sides opposite and adjacent to the 45-degree angles) are congruent.

Since the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle, and since these two sides are congruent in an isosceles right triangle, we have tan A = 1.

Therefore, the correct answer is C. tan B.

Answer:

l = \(\frac{P - 2w}{2}\)

Step-by-step explanation:

2l + 2w = P

     2l =  P - 2w

      l = \(\frac{P - 2w}{2}\)

Answer:

x = - 2

y = 6

Step-by-step explanation:

The best way to do this is to put - 3x in for y in the second equation.

4x - 2(-3x) = - 20        Watch the signs. You have 2 minus signs.

4x - - 6x = -20            Change - - 6x to 6x

4x + 6x = - 20              Add

10x = - 20                   Divide by 10

x = -20/10

x = - 2

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

Find y

y = - 3x

y = -3 * -2

y = 6

Answer:

not really

Step-by-step explanation:

Answer:

Bars !!!!!!

Step-by-step explanation:

Answer:20

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

Given,P(A) = 0.30 and P(B) = 0.40. It is not the case that P(A) + P(B) = 1 because there are other software packages for which requests could be made. It does not include other software packages such as Minitab, JMP, and R.

Therefore, the correct option is:The probabilities do not add to 1 because there are other software packages for which requests could be made. We know that P(A) + P(A′) = 1Now, substituting the value of P(A), we get:

P(A′) = 1 - P(A)P(A′) = 1 - 0.30P(A′) = 0.70

Therefore, P(A′) = 0.70(c) We know that

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Now, substituting the values of P(A), P(B), and P(A ∩ B), we get:

P(A ∪ B) = P(A) + P(B) - P(A)P(B)P(A ∩ B) = P(A) x P(B)P(A ∪ B) = 0.30 + 0.40 - (0.30 × 0.40)P(A ∪ B) = 0.70 - 0.12P(A ∪ B) = 0.58

Therefore, P(A∪B) = 0.58(d) We know that A' means not A and B' means not B.So, A′∩B′ means not A and not B.Now, we have:

P(A) = 0.30P(B) = 0.40P(A′) = 0.70P(B′) = 0.60P(A′∩B′) = P(A') x P(B')P(A′∩B′) = 0.70 x 0.60P(A′∩B′) = 0.42

Therefore, P(A′∩B′) = 0.42. Given, P(A) = 0.30 and P(B) = 0.40.The sum of P(A) and P(B) is not equal to 1, i.e., P(A) + P(B) ≠ 1. This is because there are other software packages for which requests could be made such as Minitab, JMP, and R. Hence, there are chances of requests from these packages as well and thus the probability of the events of choosing these packages must also be taken into consideration.P(A′) can be calculated as

P(A) + P(A′) = 1 ⇒ P(A′) = 1 - P(A).

Therefore, P(A′) = 0.70.P(A ∪ B) can be calculated as

P(A ∪ B) = P(A) + P(B) - P(A ∩ B) ⇒ P(A ∪ B) = 0.30 + 0.40 - (0.30 × 0.40) = 0.70 - 0.12 = 0.58.

P(A′∩B′) means not A and not B. Hence, P(A′∩B′) can be calculated as P(A′) x P(B′) = 0.70 x 0.60 = 0.42.Therefore, P(A′∩B′) = 0.42.

Thus, it can be concluded that the sum of probabilities of choosing SPSS and SAS software packages does not add to 1 as there are other software packages available for requests. The probability of the next request being for SPSS can be calculated as 0.30 and that of not being for SPSS can be calculated as 0.70. The probability of the next request being either for SPSS or for SAS can be calculated as 0.58. The probability of the next request being for neither SPSS nor SAS can be calculated as 0.42.

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Answer:

its 25

Step-by-step explanation:

the third-degree polynomial function with real coefficients, having the zeros 6 + i, 6 - i, and 7, is:

f(x) = (x² - 12x + 37)(x - 7)

To form a third-degree polynomial function with real coefficients such that the complex number 6 + i and the real number 7 are zeros, we can use the fact that complex zeros come in conjugate pairs.

Given that 6 + i is a zero, its conjugate 6 - i will also be a zero. Thus, the zeros of the polynomial are 6 + i, 6 - i, and 7.

To find the polynomial function, we start by forming the factors corresponding to each zero:

(x - (6 + i))   --> This corresponds to the zero 6 + i

(x - (6 - i))   --> This corresponds to the zero 6 - i

(x - 7)        --> This corresponds to the zero 7

To simplify the factors, we multiply them out:

(x - (6 + i))(x - (6 - i))(x - 7)

= ((x - 6) - i)((x - 6) + i)(x - 7)

= ((x - 6)² - i²)(x - 7)

= ((x - 6)² + 1)(x - 7)

Expanding the squared term:

= (x² - 12x + 36 + 1)(x - 7)

= (x² - 12x + 37)(x - 7)

Therefore, the third-degree polynomial function with real coefficients, having the zeros 6 + i, 6 - i, and 7, is:

f(x) = (x² - 12x + 37)(x - 7)

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Answer:

\(\dfrac{2x+4}{x(x+2)(x-4)} \equiv \dfrac{1}{2(x-4)}-\dfrac{1}{2x}\)

Step-by-step explanation:

Write out the expression as an identity:

\(\begin{aligned}\dfrac{2x+4}{x(x+2)(x-4)} & \equiv \dfrac{A}{x}+\dfrac{B}{(x+2)}+\dfrac{C}{(x-4)}\\\\\implies \dfrac{x(2x+4)(x+2)(x-4)}{x(x+2)(x-4)} & \equiv \dfrac{Ax(x+2)(x-4)}{x}+\dfrac{Bx(x+2)(x-4)}{(x+2)}+\dfrac{Cx(x+2)(x-4)}{(x-4)}\\\\\implies 2x+4 & \equiv A(x+2)(x+4)+ Bx(x-4)+Cx(x+2)\end{aligned}\)

Calculate the values of A, B and C using substitution:

\(\begin{aligned}2x+4 & = A(x+2)(x-4)+Bx(x-4)+Cx(x+2)\\\\x=4 \implies 12 & = A(0)+B(0)+C(24)\implies C=\dfrac{1}{2}\\\\x=-2 \implies 0 & = A(0)+B(12)+C(0) \implies B=0\\\\ x=0 \implies 4 & = A(-8)+B(0)+C(0) \implies A=-\dfrac{1}{2}\end{aligned}\)

Replace A, B and C in the original identity:

\(\begin{aligned}\dfrac{2x+4}{x(x+2)(x-4)} & \equiv \dfrac{A}{x}+ \dfrac{B}{(x+2)}+\dfrac{C}{(x-4)}\\\\& \equiv -\dfrac{1}{2x}+\dfrac{1}{2(x-4)}\\\\\implies \dfrac{2x+4}{x(x+2)(x-4)}& \equiv \dfrac{1}{2(x-4)}-\dfrac{1}{2x}\end{aligned}\)

Answer:

x = 7

Step-by-step explanation:

2(3x-9)=2x+10

6x - 18 = 2x + 10

4x = 28

x = 7

Answer:

x = 7

Step-by-step explanation:

In order to find the value of x, isolate it in the equation.

1) First, distribute the 2 to the terms inside the set of parentheses.

\(2 (3x - 9) = 2x + 10 \\6x - 18 = 2x + 10 \\\)

2) Next, move all the x terms to one side and all the other terms to the other side. Subtract both sides by 2x and add both sides by 18.

\(6x - 18 = 2x + 10 \\4x = 28\)

2) Divide both sides by 4 to finally isolate x.

\(4x = 28 \\x = 7\)

Thus, x = 7.

Answer:

The height of the building is 17.3 feet

Step-by-step explanation:

It's a right angle, so use the Pythagorean Theorem.

a²+b²=c²

10²+b²=20²

100+b²=400

b²=400-100

b²=300

b=300

b=17.3

The height of the building is 17.3 feet

Answer:

503

Step-by-step explanation:

10 squared is 100

so you get 5x100+3

multiply 5x100 to get 500

add 500+3 and you get 503

Answer:

5.03*10^2 in Scientific notation

503 in expanded form