The HCF of 59 and 62 is (a) 4 (b) 28 (c) 6 (d) None of the above​

Answer:

x=-42 to check ur answer place it like this 7-(-42) =49 which is correct

The absolute value of a number is the distance from 0 to that number. The distance is positive, hence, the absolute value is always a positive number.

Replace the value of x:

\(| x - 8 |\)

\(| -4 - 8 |\)

\(| -12 | = \large{\boxed{12}}\)

The absolute value of a number is the numerical value of the number, without regard to its sign.

To find the number of cells of bacteria on day 5, we can observe the pattern:

Day 1: 3 cells

Day 2: 9 cells (3 * 3)

Day 3: 27 cells (3 * 3 * 3)

Day 4: 81 cells (3 * 3 * 3 * 3)

Day 5: 243 cells (3 * 3 * 3 * 3 * 3)

We notice that each day, the number of cells triples. This can be represented using an exponent: \(3^d\), where d is the number of days.

So, on day 5, the number of cells of bacteria is \(3^5 = 243\).

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Answer:

0

Step-by-step explanation:

First, you have to plug it into the formula to find the slope.

\(\frac{rise}{run}\) =\(\frac{y2-y1}{x2-x1}\)

\(\frac{8-8}{-5-10} =\frac{0}{-15}\)

Since 0 divided by anything is 0, that gives us 0 as a slope and it would be horizontal.

The probability of A and B occurring simultaneously (P(A ∩ B)) is c. 0.00.

In this scenario, A and B are stated to be mutually exclusive events. Mutually exclusive events are events that cannot occur at the same time. This means that if event A happens, event B cannot happen, and vice versa.

Given that P(A) = 0.4 and P(B) = 0.5, we can deduce that the probability of A occurring is 0.4 and the probability of B occurring is 0.5. Since A and B are mutually exclusive, their intersection (A ∩ B) would be an empty set, meaning no outcomes can be shared between the two events. Therefore, the probability of A and B occurring simultaneously, P(A ∩ B), would be 0.

To further clarify, let's consider an example: Suppose event A represents flipping a coin and getting heads, and event B represents flipping the same coin and getting tails. Since getting heads and getting tails are mutually exclusive outcomes, the intersection of events A and B would be empty. Therefore, the probability of getting both heads and tails in the same coin flip is 0.

In this case, since events A and B are mutually exclusive, the probability of their intersection, P(A ∩ B), is 0.

Therefore, the correct answer is: c. 0.00

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Step-by-step explanation:

Given: r=9cm

Volume of sphere=4/3πr^3

=4/3*3.14*9^3

=3052.08 cm^3

The polynomials have the value of k for

a) k = -2/3 and

b) k = 0 or k = 1.

The remainder theorem states that if a polynomial say f(x) is divided by x - a, then the remainder is f(a).

For question a, having the polynomial x³ + kx² - 2kx + 1 the remainder is -2 when divided by x + 1.

so;

f(-1) = (-1)³ + k(-1)² - 2k(-1) + 1 = -2

-1 + k + 2k + 1 = -2 {collect like terms}

3k = -2 {divide through by 3}

k = -2/3

For question b, having the polynomial x² + x - 2, he remainder is -2 when divided by x + k

so;

f(-k) = (-k)² + (-k) - 2 = -2

k² - k - 2 = -2

k² - k = 2 - 2 {add 2 to both sides}

k(k - 1) = 0 {factorize}

k = 0 or k - 1 = 0

k = 0 or k = 1

Therefore, the value for k for the polynomial in question a is k = -2/3 and for question b, k = 0 or k = 1.

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Answer:

1.5x + 2

Step-by-step explanation:

(3x + 4)/2 = 1.5x + 2

The probability that it takes you until the 5th person to find someone born in December is 1/12 or 0.0588 and the expected number of people you have to question to find someone born in december is 12.

a) The probability that it takes you until the 5th person to find someone born in December = P (first 4 person born in some other month & 5th person born in month of December) = (1-1 / 12) 4 × (1/12)

= 0.0588

b) We know that from geometric distribution expected number of people you have to question to find someone born in December

= 1/p = 1/ (1/12) = 12

Therefore, the probability that it takes you until the 5th person to find someone born in December is 1/12 or 0.0588 and the expected number of people you have to question to find someone born in December is 12.

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The ratio of false positives to true positives is 3/49.

So, option B is correct.

A percentage is an expression that converts two ratios into an equal value. For instance, you may write the ratio as 1: 3 if there is 1 man and 3 women, meaning that 40% of the population is female and 14% is male. For any two numbers, the ratio formula is stated as a: b a/b. The percentage formula, on the other hand, is represented as a:b::c:da:b::c:da:b=cd. In mathematics, a ratio shows how many times one number is represented by another. For instance, if there are eight oranges and six lemons in a dish of fruit, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).

The percentage of false positives=3%

The percentage of true positives=49%

Ratio=3/49

Therefore, the ratio of false positives to true positives is 3/49.

So, option B is correct.

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The product of (3 x 107) and (2 x 107) is 6.8694 x 10^4

To find the product of (3 x 107)and (2 x 107), we can use the distributive property of multiplication which states that the product of a number and a sum is equal to the sum of the products of the number and each term in the sum. In this case, we can multiply the numbers outside the parentheses first, and then multiply the result by the common factor of 107 to simplify the expression:

(3 x 107) x (2 x 107) = 6 x (107 x 107)

Next, we can calculate the product of 107 and 107, which is 11,449:

6 x 11,449 = 68,694

In scientific notation, this can be written as:

= 6.8694 x 10^4

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Answer:

Volume of a sphere

= 4/3πr³

= 4/3*3.14*2*2*2

= 4/3*25.12

=33.493 inches³

The volume of a shape is the amount of space in it.

The volume of the softball is about 33.5 cubic inches

The volume of the sphere is given as:

\(V = \frac 43\pi r^3\)

The radius of the softball is given as:

\(r = 2\)

So, the volume of the softball is:

\(V = \frac 43\pi \times 2^3\)

\(V = \frac 43\pi \times 8\)

Express pi as 3.14

\(V = \frac 43 \times 3.14 \times 8\)

\(V = 33.49\)

Approximate

\(V = 33.5\)

Hence, the volume of the softball is about 33.5 cubic inches

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The area of the paperboard that remains is 613.92 square inches.

To find the area of the paperboard that remains after a semicircle is cut out, we need to calculate the area of the rectangular paperboard and subtract the area of the semicircle.

The rectangular paperboard has dimensions of 35 inches long and 24 inches wide. Therefore, the area of the rectangular paperboard is:

Area_rectangular = length * width = 35 in * 24 in = 840 in²

Now, let's calculate the area of the semicircle. The semicircle is cut out of the rectangular paperboard, and the diameter of the semicircle is equal to the width of the rectangular paperboard (24 inches).

The formula to calculate the area of a semicircle is:

Area semicircle = (π * r²) / 2

where r is the radius of the semicircle.

Since the diameter of the semicircle is 24 inches, the radius is half of that, which is 12 inches.

Plugging in the values into the formula, we get:

Area_semicircle = (3.14 * 12²) / 2 = (3.14 * 144) / 2 = 226.08 in²

Finally, to find the area of the paperboard that remains, we subtract the area of the semicircle from the area of the rectangular paperboard:

Area remaining = Area rectangular - Area semicircle = 840 in² - 226.08 in² = 613.92 in²

Therefore, the area of the paperboard that remains is 613.92 square inches.

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Answer: 3 x 9.63 = 28.89

Hope this helps!

Answer:

28.89

Step-by-step explanation:

Product means Multiplication, so you just multiply 3 x 9.63, and that equals to 28.89.

Hope this works.

This indicates that vector 2AB has a length of 165.

Given the points A(-2, 0), B(6, 16), C(1, 4), D(5, 4), and E, let's determine the length of the vector 2AB. To begin, we must determine the distance that separates points A and B. The distance formula is as follows: Equation for distance: We can calculate d as [(x2 - x1)2 + (y2 - y1)2] using the distance formula: Spot = [(6 - (- 2))2 + (16 - 0)2] = [(6 + 2)2 + (16)2] = [(8)2 + (16)2] = [(64 + 256) = 320 = 8] Now, we can deduct the directions of point A from guide B toward decide the vector Stomach muscle:

To find 2AB, simply multiply each part of AB by 2: AB = (6 - (-2)i + (16 - 0)j = 8i + 16j 2AB = 2(8i + 16j) = 16i + 32j. Last but not least, we must ascertain the magnitude of 2AB. The extent recipe is as per the following: Size formula: Using the magnitude formula, we get: ||v|| = (v12 + v22). ||2AB|| = (162 + 322) = (256 + 1024) = (1280 + 165). This indicates that vector 2AB has a length of 165.

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The total number of micrograms present in the 65.3 kilograms is equal to 65,300,000,000 micrograms.

Conversion of units from kilogram to grams is :

1 kilogram = 1,000 grams

Conversion of units from grams to micrograms is :

1 grams  = 1,000,000 micrograms

⇒ 1 kilogram = ( 1,000 × 1,000,000 ) micrograms

⇒1 kilograms = 1,000,000,000 micrograms

Substitute the required value for the converting kilogram to micrograms we get,

⇒ 65.3 kilograms = ( 65.3 × 1,000,000,000 ) micrograms

⇒65.3 kilograms = 65,300,000,000 micrograms

Therefore, the total quantity of micrograms in 65.3 kilograms is equal to 65,300,000,000 micrograms.

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Answer:

b I think is the right answer.

Answer:

The value of X is 35

Step-by-step explanation:

If I’m not right I apologize

The eigenvalues of matrix A are λ₁ = 2 and λ₂ = -2, with eigenspaces E₁ = Span{(1, 2)} and E₂ = Span{(2, -1)}. The formula for Aⁿ is Aⁿ = PDP⁻¹, where P is the matrix of eigenvectors and D is the diagonal matrix with eigenvalues raised to the power n.

(i) To find the eigenvalues of matrix A, we solve the characteristic equation det(A - λI) = 0, where I is the identity matrix. The characteristic equation for matrix A is (2-λ)(4-λ) = 0, which yields the eigenvalues λ₁ = 2 and λ₂ = 4.

To find the eigenspaces, we substitute each eigenvalue into the equation (A - λI)v = 0, where v is a nonzero vector. For λ₁ = 2, we have (A - 2I)v = 0, which leads to the equation {-2x₁ + 4x₂ = 0}. Solving this system of equations, we find that the eigenspace E₁ is given by the span of the vector (1, 2).

For λ₂ = -2, we have (A + 2I)v = 0, which leads to the equation {6x₁ + 4x₂ = 0}. Solving this system of equations, we find that the eigenspace E₂ is given by the span of the vector (2, -1).

(ii) To find Aⁿ, we use the formula Aⁿ = PDP⁻¹, where P is the matrix of eigenvectors and D is the diagonal matrix with eigenvalues raised to the power n. In this case, P = [(1, 2), (2, -1)] and D = diag(2ⁿ, -2ⁿ).

Therefore, Aⁿ = PDP⁻¹ = [(1, 2), (2, -1)] * diag(2ⁿ, -2ⁿ) * [(1/4, 1/2), (1/2, -1/4)].

By performing the matrix multiplication, we obtain the formula for Aⁿ as a function of n.

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Yes its i Think If its not sorry

Answer: The surface area of a square pyramid with a side length of 2m and slant height of 3m is 12 square meters.

Step-by-step explanation:

The surface area of a square pyramid can be calculated using the formula:

Surface area = Base area + 4 * (Area of one of the lateral faces)

The base area of the pyramid is the area of the square base, which is the side length squared: 2m * 2m = 4m^2

To find the area of one of the lateral faces, we can use the Pythagorean theorem to find the length of the face, which is the hypotenuse of a right triangle with the slant height and half of the side length as the other two sides.

so, (1/2 * 2m)^2 + 3^2 = x^2

x= (1/2 * 2m)^2 + 3^2

x = 2

Therefore, the surface area of the pyramid is:

Surface area = 4m^2 + 4 * 2m^2 = 4m^2 + 8m^2 = 12m^2

So, the surface area of a square pyramid with a side length of 2m and a slant height of 3m is 12 square meters.

In response to the supplied query, we may state that 759 is the value decimal entered into the green box.

Both integer and non-integer values are frequently stated in decimal form. Non-integer values are now part of the enlarged Hindu-Arabic numeral system. The process of representing numbers in the decimal system is referred to as decimal notation. A decimal is a number that consists of both a whole and a fractional part. Whole and partially entire quantities are expressed numerically using decimal numbers, which fall between integers. A decimal number's whole number and its fractional component are separated by a decimal point. The decimal point is the dot that separates the full number from the fractions. For instance, 25.5 is a decimal number.  

We may leverage the fact that 0.83 is a decimal representation of a rational number with a finite decimal portion to express 0.83 as a fraction. We may say it this way:

0.83 = 83/100

\(8.39 = 8 + 0.39\s= 8 + 39/100\s= 8 + 39/(10^2)\s= 8 + F/(10) (10)\)

Now that the decimal is gone from the right-hand side's numerator, we may multiply both sides by 10:

\(10 * 8.39 = 10 * (8 + F/10)\\839 = 80 + F\sF = 839 - 80 = 759\)

So, 8.39 may be expressed as the following fraction:

8.39 = 8 + 0.39 = 8 + 39/100 = 8 + 759/1000

759 is the value entered into the green box.

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Answer:

the answer is 51.4% i Believe

Answer:

15%

Step-by-step explanation:

You take the number of student in 8th grade that are on social media for more than an hour which gives you (12) and divide it by the total number of students (81).

12/81=0.148 repeating

You then round 0.148 repeating to 0.15 and then turn it into a percent by moving the decimal two places to the right.

Answer:

1-a

2-e

3-d

4- c  

5- b

Step-by-step explanation:

Answer: 112%

Step-by-step explanation:

Let x = the cost of the shoes

If the cost of the sweater is 12% more than the cost of the shoes, then 1.12x is the cost of the sweater.

To convert the 1.12x into a percentage, multiply 1.12 by 100

This gives you:  112%

Answer:

\(b= \frac{-4}{7} a - \frac{52}{7}\)

Step-by-step explanation:

1st, isolate b.

7b=-4a-52

Next, divide both sides by 7.

b=(-4a/7)-(52/7)

Answer:

1

Step-by-step explanation:

T is the linear transformation described by T(w,z) in L(C2). This indicates that the linear transformation T changes two-dimensional vectors of the type (w,z) to (-z,w).

To get T's eigenvalues, solve the equation T(v) = v, where is the eigenvalue and v is the eigenvector. By solving this equation, we discover that T's eigenvalues are λ1 = -1 and λ2 = 1.

For each eigenvalue, the associated eigenspaces are the subspaces of C2 that are spanned by the eigenvectors of T. The eigenspace is the subspace covered by the eigenvector λ1= -1 is (1,0). The eigenspace is the subspace spanned by the eigenvector λ2= 1 is (0,1).

As a result, the subspaces covered by (1,0) and (1,1) are the generalized eigenspaces corresponding to the different eigenvalues of T. (0,1).

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Answer:

use socartic for help

Step-by-step explanation: