1) find a div m and a mod m when
a) a= -111, m = 99
b) a= -9999, m= 101
c) a= 10299, m=999.
d) a= 123456, m= 1001.
2) find the value of ( 893 mod 79)4 mod 26

Answer:

7,680

Step-by-step explanation:

The average number of words on a full page

=Number of columns X Number of Lines X Number of words per line

=8 X 160 X 6

=7680

The average number of words on a full page is 7,680.

Work Shown:

\(t = \frac{\overline{x}-\mu}{\frac{s}{\sqrt{n}}}\\\\t = \frac{113-117}{\frac{11}{\sqrt{28}}}\\\\t \approx \frac{-4}{\frac{11}{5.291503}}\\\\t \approx \frac{-4}{2.078804}\\\\t \approx -1.924183\\\\t \approx -1.924\\\\\)

In the intermediate steps, I rounded to 6 decimal places. The final answer is rounded to 3 decimal places (to the nearest thousandth).

correlation coefficients most closely corresponds to the observed correlations between the intelligence scores of adopted children is a. child-adoptive: 0.20; child-biological: 0.40

Children for adoption

Adoption is the social, emotional, and legal process in which children who will not be raised by their birth parents become full and permanent legal members of another family while maintaining genetic and psychological connections to their birth family.

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Completing the square – can be used to solve any quadratic equation. It is a very important method for rewriting a quadratic function in vertex form. Quadratic formula – is the method that is used most often for solving a quadratic equation.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

Any quadratic problem may be solved by completing the square. It is a critical way for expressing a quadratic function in vertex form. The quadratic formula is the most often used method for solving a quadratic problem.

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Answer:

5 because if you do 6/3 and 10/x you would 10 times 3 then divide that by 6

Answer:

z is any real number

Step-by-step explanation:

2.5(2z + 5) = 5(z + 2.5)

Distribute

5z + 12.5 = 5z +12.5

Subtract 5z from each side

5z -5z + 12.5 = 5z-5z +12.5

12.5 = 12.5

This is always true so z can be any real number

Answer:

All Real Numbers

Step-by-step explanation:

We are considering the following equation - 2.5(2z + 5) = 5(z + 2.5),

\(2.5 * (2z + 5) = 5 * (z + 2.5) - Apply Distributive Property,\\\\2.5 ( 2z ) + 2.5 ( 5 ) = 5z + 5 ( 2.5 ) - Multiply Like Terms,\\5z + 12.5 = 5z + 12.5 - Subtract Terms From Either Side,\\\\0 = 0,\\Conclusion ; z - All Real Numbers\)

Solution; All Real Numbers

Minimum value = 3, Q1 = 4, Median = 6, Q3 = 10.5, Maximum value = 15.

Minimum value = 3

To find Q1 (the first quartile):

Arrange the data in ascending order: 3, 4, 4, 6, 6, 8, 9, 12, 15

Find the median of the lower half of the data: 3, 4, 4, 6, 6 → median = 4

Q1 is the median of the lower half of the data: Q1 = 4

Median (second quartile) = 6

To find Q3 (the third quartile):

Arrange the data in ascending order: 3, 4, 4, 6, 6, 8, 9, 12, 15

Find the median of the upper half of the data: 8, 9, 12, 15 → median = 10.5

Q3 is the median of the upper half of the data: Q3 = 10.5

Maximum value = 15

Therefore, the statistical measures for the given data set are:

Minimum value = 3, Q1 = 4, Median = 6, Q3 = 10.5, Maximum value = 15.

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The given question is incomplete, the complete question is:

Answer the statistical measures for the following set of data.3,4,4,6,6,8,9,12,15. Fill in the blanks. Minimum value =  , Q₁ =  , Median = , Q₃ = and maximum value =  of the given data set.

Answer:

a = 35

Step-by-step explanation:

\(a^2+b^2=c^2\\a^2+12^2=37^2\\a^2+144=1369\\a^2=1225\\a=35\)

Answer:

Step-by-step explanation:

density is mass divided by volume

15 divided by 9 is

1.6666666666

so its 1.666 repeating g/cm^3

The repeating decimal produced by the fraction 3/9 is 0.33333..., with the digit 3 repeating infinitely.

A fraction is a way of expressing a part of a whole or a ratio between two quantities. It is represented as one quantity divided by another quantity, with a horizontal line called a fraction bar between them.

The fraction 3/9 can be simplified to 1/3 by dividing both the numerator and denominator by their greatest common factor, which is 3.

When we divide 1 by 3, we get a quotient of 0.3, and a remainder of 1. To continue the long division, we add a decimal point and a zero, and bring down the next digit, which is also a zero. We then divide 10 by 3, which gives us a quotient of 3, and a remainder of 1. We repeat the process, adding a decimal point and another zero, and bringing down another zero. We continue this process infinitely, getting a sequence of 3s that repeat without end.

Therefore, the repeating decimal produced by the fraction 3/9 is 0.33333..., with the digit 3 repeating infinitely.

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ANSWER:

1. translation: 3 units right and 1 unit down

2. 130°

Answer:

35 ×x =7

100

35x=7

100

35x=700

35 35

x = 20.

Answer:

Hey mate...

Step-by-step explanation:

This is ur answer.....

The sum of the lengths of any two sides of a triangle must be greater than the third side. (a)(8,11,19)⇒8+11 not greater than 19 , (N.G.) (d)(13,4,8)⇒4+8<13 , (NG). Hence, option (b) is the only answer.

Hope it helps!

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The true statements are, Line A B and Line C G are parallel, Line C G and Line R S are perpendicular, Line A B and Line R S must intersect and Line segment C G lies in plane X.

Given that Planes X and Y intersect at a right angle. Line AB and CG are on plane X, while line RS is on plane Y. Therefore, line CG lies on plane X.

Since both line AB and CG lie on the same plane, they are parallel to each other.

Since plane X and plane Y are perpendicular to each other and line CG is on plane X while line RS is on plane Y, this means that Line CG and Line RS are perpendicular to each other.

Line AB and Line RS may or may not intersect. They could be skew lines, which do not intersect and are not parallel.

Line segment CG lies on plane X since it is contained within the plane that contains points C, G, and either A or B.

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The question is -

Which statements are true? Select three options.

a. Line A B and Line C G are parallel.

b. Line A B and Line R S are parallel.

c. Line C G and Line R S are perpendicular.

d. Line A B and Line R S must intersect.

e. Line segment C G lies in plane X.

f. Line segment R S lies in plane X.

Answer: ace

Step-by-step explanation:

Answer:

\(\displaystyle d = 5\sqrt{2}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Algebra II

Distance Formula: \(\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

Step-by-step explanation:

Step 1: Define

Identify.

Point (2, 2)

Point (7, 7)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

The series in question is given by S_n = √(n^8 + 9n). The ratio of the terms approaches a finite positive value. We want to determine whether this series converges or diverges using the Limit Comparison Test.

1. To apply the Limit Comparison Test, we choose a known convergent series with positive terms, let's call it b_n. In this case, we can choose b_n = √(n^8).

2. Now, we need to find the limit of the ratio of the terms of the two series as n approaches infinity. We calculate the limit:

lim n→∞ (√(n^8 + 9n) / √(n^8))

Simplifying the expression inside the limit, we have:

lim n→∞ (√(n^8 * (1 + 9/n)) / n^4)

3. Using properties of limits, we can rewrite the expression as:

lim n→∞ (√(n^8) * √(1 + 9/n) / n^4)

Simplifying further, we have: lim n→∞ (n^4 * √(1 + 9/n) / n^4)

4. The n^4 terms cancel out, leaving us with: lim n→∞ √(1 + 9/n)

As n approaches infinity, the term 9/n approaches zero, and we are left with: lim n→∞ √1 = 1

5. Since the limit is finite and positive (L = 1), and the series b_n = √(n^8) converges, we conclude that the original series S_n = √(n^8 + 9n) also converges.

6. In summary, using the Limit Comparison Test, we determined that the series S_n = √(n^8 + 9n) converges. The explanation above shows the step-by-step calculation of the limit, demonstrating that the ratio of the terms approaches a finite positive value.

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Answer:

its irrational

7.07106781187

look at how the decimals are all over the place

if it was rational it would've been something like this

7.070707070707 or 7.071071071071

hope that answers your question

Step-by-step explanation:

Answer:

x(x+5)^2

Step-by-step explanation:

x^3 + 10x^2 + 25x

Factor out x

x(x^2+10x+25)

What 2 numbers multiply to 25 and add to 10

5*5 = 25

5+5 =10

x(x+5)(x+5)

x(x+5)^2

Answer:

D

Step-by-step explanation:

Given

x³ + 10x² + 25x ← factor out x from each term

= x(x² + 10x + 25) ← perfect square

= x(x + 5)²

Answer:

4ln x +ln 3-lnx

4ln x -ln x+ln3

3ln x+ln 3

ln(3x+3)is equivalent.

Answer:

i think its six i haven't done this in a while tho

Step-by-step explanation:

sort them in order from least to greatest and find the middle... i think... that could be medium

Answer:

Step-by-step explanation:

The mean is the average so add them all up and divide the sum by the amount of number there are \(2+9+7+4+6+1=29\) and then divide 29÷6 = 4.8333333333 (3 continued) or 29/6 (fraction) also if that is not the answer round it and it would be 4.8

The probability that the mean weight of 20 randomly selected men is between 170 and 185 lbs is approximately 0.7189 or approximately 72%.

To solve this problem, we need to use the formula for the sampling distribution of the mean, which states that the mean of a sample of size n drawn from a population with mean μ and standard deviation σ is normally distributed with a mean of μ and a standard deviation of σ/sqrt(n).

In this case, we have a population of men with a mean weight of 178 lbs and a standard deviation of 26 lbs. We want to know the probability that 20 randomly selected men will have a mean weight between 170 and 185 lbs.

First, we need to calculate the standard deviation of the sampling distribution of the mean. Since we are taking a sample of size 20, the standard deviation of the sampling distribution is:

σ/sqrt(n) = 26/sqrt(20) = 5.82

Next, we need to standardize the interval between 170 and 185 lbs using the formula:

z = (x - μ) / (σ/sqrt(n))

For x = 170 lbs:

z = (170 - 178) / 5.82 = -1.37

For x = 185 lbs:

z = (185 - 178) / 5.82 = 1.20

Now we can use a standard normal distribution table (or a calculator) to find the probability of the interval between -1.37 and 1.20:

P(-1.37 < z < 1.20) = 0.8042 - 0.0853 = 0.7189

Therefore, the probability that 20 randomly selected men will have a mean weight between 170 and 185 lbs is 0.7189 or approximately 72%.

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The usual sign for greater than and less than is "<", the pointed side is always towards the smaller quantity.

When we compare two quantities in mathematics we us the sign"<".

Now, let us say that there are two quantities a and b, and a is greater than b. So, we can write the relation as, a > b. So, we see that b is less than as a and a is greater than b.

Now, to remember this, the pointed side of the sign will be always towards the quantity that is smaller.

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Using Area and perimeter formulae of rectangle,

a) the rate of change of Area is 14 cm²/sec

b) the rate of change of perimeter is zero.

c) length of diagonal is 13 cm

We have given that

length (l) is decreasing at the rate of 2 cm/min

and the width (w) is increasing at the rate of

2cm/min,

⇒ dl/dt = −2 cm/min and dw/dt = 2cm/sse

Thus the perimeter (P) of a rectangle is,

P=2(l+w) ---(1)

differentiating above equation with respect to time (t) we get,

dp/dt = 2(dl/dt + dw/dt )

=> dp/dt = 2( -2 + 2 ) = 0

=> P = constant

Hence, there is no change in perimeter of rectangle.

(b)Now, it is given that length (l) is decreasing at the rate of 2 cm/min

and the width (w) is increasing at the rate of 2 cm/min,

Thus the area (A) of a rectangle is, A= l× w

=> dA/dt = l ×dw/dt + w×dl/dt (used differentaion

we have l = 12 cm and w = 5 cm

=> dA/dt = 12 (2) + 5(-2)

=> dA/dt = 24 - 10 = 14

Hence, the area is increasing at the rate of

14 cm²/min.

c) length of diagonal = √(12)² + (5)² = √144+25

=> length of diagonal = √169 = 13 cm

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Answer:

Slope = - 2

Step-by-step explanation:

Given equation is,

y= - 2x

If x=1, y= -2.

If x=2, y= - 4

Take such few points and plot the graph (1, - 2), (2, - 4)........

Draw a straight line through the points.

For slope, compare the equation with slope intercept form, y=mx + c

Here, c=0 and m=-2

Hope this helps!!

Answer:

4x3+6x6=48

Step-by-step explanation:

PEMDAS

4x3=12

6x6=36

12+36=48

therefore, the answer is 48

Answer:

x=166 , y=28 , z=88

Step-by-step explanation:

Answer:

5.831

Step-by-step explanation:

Pythagoras says RS = √(5²+3²) = √34 ≈ 5.831

Answer:

RS ≈ 5.83 units

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

Here RS is the hypotenuse and the legs have measure 5 and 3, thus

RS² = 5² + 3² = 25 + 9 = 34 ( take the square root of both sides )

RS = \(\sqrt{34}\) ≈ 5.83 ( to 3 significant figures )

The answer is 64.  To find the number of homozygous dominant individuals in the population.

We need to use the Hardy-Weinberg equation:

p^2 + 2pq + q^2 = 1

Where:
p = frequency of dominant allele
q = frequency of recessive allele

Since the dominant allele frequency is 0.8, we can assume that the recessive allele frequency is 0.2 (since p + q = 1).

To find the frequency of homozygous dominant individuals (p^2), we simply square the frequency of the dominant allele:

p^2 = (0.8)^2 = 0.64

To find the number of homozygous dominant individuals, we multiply the frequency by the total population size:

0.64 x 100 = 64

Therefore, there are 64 homozygous dominant individuals in the population.

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Answer:3*10^4

Step-by-step explanation:

3 multiply 10 to the 4 power (positive)