The coordinates of the endpoints of AB are A(–4,8) and B(8,2). Its midpoint is C.
What are the coordinates of C?

Answer: y=1/2x+3

Step-by-step explanation: Put you ordered pairs on a graph and find your slope, once you find your slope you can finish the line then you can find the y-intercept

At the end of the year there will be 356 rabbit.

Fibonacci sequence is a sequence, in which each number is the sum of the two preceding ones. The numbers in the Fibonacci sequence is the Fibonacci numbers.

Suppose a newly-born pair of rabbits, one male and one female, are put in a field.

Let [tex]f_{1},f_{2},f_{3} ,........f_{12}[/tex] represents the number of rabbit in the month 1, month2,....month12.

i.e., [tex]f_{1} =2, f_{2} =2[/tex]

At the end of its second month a female can produce another pair of

rabbits. i.e., [tex]f_{3}=4[/tex].

At the end of third month a parent female produce one pair and the daughter female produce one pair. i.e., [tex]f_{4} = 8.[/tex]

Similarly it goes on for 12 months.

Using fibonacii sequence, the general term is,

[tex]f_{n} =f_{n-1}+f_{n-2}[/tex]

for 5th month

[tex]f_{5} =f_{4} +f_{3} =8+4=12[/tex]

[tex]f_{6} =f_{5} +f_{4} =12+8=20[/tex]

[tex]f_{7} =f_{6} +f_{5} =20+12=32[/tex]

[tex]f_{8} =f_{7} +f_{6} =32+20=52[/tex]

[tex]f_{9} =f_{8} +f_{7} =52+32=84[/tex]

[tex]f_{10} =f_{9} +f_{8} =84+52=136[/tex]

[tex]f_{11} =f_{10} +f_{9} =136+84=220[/tex]

[tex]f_{12} =f_{11} +f_{10} =220+136=356.[/tex]

Hence, at the end of the year there will be 356 rabbit.

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Suppose the real number x is greater than 0. Then for any natural number n, the reciprocal of n, 1/n, is less than x if and only if n > 1/x.

Since 1/x is a positive real number, it is always less than a sufficiently large natural number, say N. Hence, 1/N < x.

Therefore, there exists a natural number for which the reciprocal is less than x.

The solution is based on the properties of real numbers and the notion that there is always a natural number greater than any positive real number.

For a given positive real number x, if we take a natural number n that is larger than 1/x, then the reciprocal of n, 1/n, will be less than x. This is because 1/n = n^(-1), which means the value of n^(-1) becomes smaller as n increases.

So, if we choose a sufficiently large natural number, its reciprocal will always be less than any positive real number x. This means that for any positive real number x, there is always a real number greater than 0 (1/n) for which the reciprocal of a natural number (n) is less than it (x).

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Answer:

Step-by-step explanation:

The area of square 1 is 13mm*26mm=338mm^2

The area of the second rectangle is 15mm*32mm=480mm^2

The are of both rectangles = 338mm^2+480mm^2=818mm^2

The statements that are FALSE about the Outliners are

(b) all outliers are influential points  ,   and

(d) outliers should usually be removed from a data  .

The statement "(b) all outliers are influential points"  is false because not all outliers are influential points, meaning that they do not have a significant effect on the results of a statistical analysis.

Whether or not an outlier is influential depends on the specific situation and the type of analysis being performed.

The statement "(d) outliers should usually be removed from a data " is false because removing all outliers from a data set is not always appropriate.

Outliers can provide important information and removing them can sometimes lead to the loss of valuable information. In some cases, outliers can be valid observations and should be kept in the data.

The given question is incomplete , the complete question is

Which of the following statements are false? (select all responses that apply) group of answer choices

(a) Outliers can not be leverage points

(b) all outliers are influential points

(c) all outliers are leverage points

(d) outliers should usually be removed from a data  .

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Answer:

Below

Step-by-step explanation:

The zeroes are given as x = 0   and x = - 4

then the factorization would be   ( x - 0 )( x - - 4)   =   x (x+4) = f(x)

(1) The Linearity Property for sums states that the sum of two sums is equal to the sum of the individual terms. That is, if a and b are two sums, then a + b = Σ(a + b).

(2) The Telescoping Property for sums states that the sum of a sequence of terms can be expressed as the difference between two terms. That is, if a1, a2, …, an are terms of a sequence, then Σai = a1 - an.

(3) The Geometric Property for sums states that the sum of the first n terms of a geometric sequence is equal to the product of the first term and the sum of the common ratio raised to the nth power. That is, if a is the first term and r is the common ratio, then Σa_i = ar^(n-1).

(4) The Associativity Property for sums states that changing the order of terms in a sum does not affect the result. That is, if a is a sum, then a = Σa = Σ(Σa).

(5) Σk = ∑k = the sum of the first k terms of a sequence.

(6) Σk^-2 = ∑k^-2 = the sum of the inverse of the first k terms of a sequence.

(7) Σk^-3 = ∑k^-3 = the sum of the inverse of the cube of the first k terms of a sequence.

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In Old English (OE), endian-endode-endod (end/ended/ended in ModE) is an example of a base form of verb inflection.

The base form of the verb "end" in Old English is "endian." This form is used as the root or base form from which other forms of the verb are derived. In this case, "endian" is inflected to "endode" to indicate a past participle form, and to "endod" to indicate a simple past form.

This is an example of a base form of verb inflection, where the base form of a verb is altered to indicate tense, aspect, or voice. This type of inflection is common in older languages like Old English, but has since declined in use in modern English, where auxiliary verbs and word order are used to convey tense and aspect.

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Work Shown:

[tex](7+3)^2+(14+12\div 6)\\\\(7+3)^2+(14+2)\\\\(10)^2+(16)\\\\100+16\\\\116\\\\\text{Therefore, }(7+3)^2+(14+12\div 6) = 116[/tex]

----------

Explanation:

We use the order of operations PEMDAS.

Parenthesis go first, so we evaluate each expression separately in the two parenthesis groupings.

In the second group, we have [tex]14+12\div6[/tex]. The [tex]12\div6[/tex] portion goes before addition. This is because division ranks higher than addition in PEMDAS shown above.

So this is why [tex]14+12\div6[/tex] becomes [tex]14+2[/tex]

After that we add up the stuff in the parenthesis to end up what is shown in the third step.

Then we square the 10 to get 100. The last step is to then add 100 to 16 to get 116 as the final answer.

You can type the original expression into a calculator to confirm the answer. Your calculator should have a division button labeled [tex]\div[/tex] but if not, then look for the slash symbol. Example: [tex]12 \div 6 = 12/6 = 2[/tex]

Answer:

-21

Step-by-step explanation:

Just replace b by 7 and x by -2

-b + 7x = -(7) + 7(-2) = -7 + -14 = -7-14 = -21

The rectangle QRST have the values for the respective angles and lengths as: m∠QRS = 90°, m∠QTR = 42°, m∠RTS = 48°, TR = 16, and QU = 8.

A rectangle has two diagonals that are the same(congruent) and they bisect each other. The rectangle have two pair of parallel sides which makes the angles formed by its diagonals alternate angles. And each interior angle of the rectangle is equal to 90°

m∠QRS = 90° {an angle of a rectangle}

m∠QTR and m∠TRS are alternate angles and are equal so;

m∠QTR = 42°

m∠RTS and m∠QTR are complementary angles are they sum up to 90° so;

m∠RTS = 90° - 42°

m∠RTS = 48°

lines TR and QS are diagonals of the rectangle and are equal so;

TR = 16

line segment TR bisect QU so;

QU = 16/2

QU = 8.

Therefore, we have the values for the respective angles and lengths of the rectangle as: m∠QRS = 90°, m∠QTR = 42°, m∠RTS = 48°, TR = 16, and QU = 8.

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The sampling which represents the format of the morning show where a radio station asks its listeners to call and give their opinion is given by option B. Simple random sampling.

Therefore, the sampling which is used to decide the format of the show is option B . Simple random sampling.

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Answer: 176 miles

First, multiply the fraction 44/100 by 400. After cross simplifying, you should get 176. 44% is nothing but 44 out of 100, which is why we multiplied by 44/100

The  average rate of change over  1≤x≤5 is 6.140. The rate of change over 6≤x≤8 is -2.453. The change of rate decreases as x increases.

An expression is combination of variables, numbers and operators.

The exponential decay function to model the situation is f(x)=52(0.8)ˣ

where 52 is the initial value and 0.8 is the decay factor.

The given intervals are 1≤x≤5

f(1)=52(0.8)=41.6

f(5)=52(0.8)⁵=17.039

The average rate=17.039-41.6/5-1

=24.561/4

=6.140

Now let us find for the interval 6≤x≤8

f(6)=13.631

f(8)=8.724

Average rate=8.724-13.631/8-6

=-2.453

Hence, the  average rate of change over  1≤x≤5 is 6.140. The rate of change over 6≤x≤8 is -2.453. The change of rate decreases as x increases.

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Answer:

it is 16

Step-by-step explanation:

do 2x2x2x2 which will give you 16

I Hope you got the answer right?

I'm guessing it's A or B

A, Because 125 Average Salary of each employee
B, Because 600 is how much he spends everyday.

I'm going to say
B, $600 spent in a day/daily expenses

If I'm right your welcome.
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Answer:

A and B

Answer:

Below

Step-by-step explanation:

1cm on the map is  500 m  

1 cm on the map is 50000 cm

1:50000

1.The probability of a driver having a conversation while driving only is 1/2

2. the probability that the student choose will have a dog but not a cat is 3/8

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Probability = sample space / total outcome

1. Probability of looking at and making conversation = probability of looking at phone × making conversation

= 3/10 = 6/10 × x

x = 3/10 ÷ 6/10

x = 3/10 × 10/6

x = 3/6 = 1/2

therefore the probability of making conversation while driving is 1/2

2. The total number of students = (18-6)+ (16-6)+6 + 4 = 12+10+6+4 = 32

The number of students that have dog alone = 18-6 = 12

therefore the probability of choosing a student with a dog but not a cat = 12/32

= 3/8

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Answer:y=4+2√(2)i  and y=4-2√(2)i

Step-by-step explanation:

y= 1/4(x-4)^2 +2

y=1/4(x²-8x+16)+2

y=(1/4)x²-2x+4+2

y=(1/4)x²-2x+6

using the Quadratic Equation

y=(-b±√(b²-4ac))/(2a)

Where a=1/4, b=-2, c=6

y=(-(-2)±√((-2)²-4(1/4)(6)))/(2(1/4))

y=(2±√(4-6))/(1/2)

y=4±2√(-2)

y=4±2√(2)i

y=4+2√(2)i  and y=4-2√(2)i

Answer:

below

Step-by-step explanation:

Just put 25 where 'n' is and calculate = 1441 rabbits

The fractional form of the given percentage is 79/100.

Fraction is a comparison between two mathematical quantities or numbers in general.

The number which is being compared is called Numerator and the with whom it is compared is called Denominator.

In mathematical words, if a fraction is look like A/B where A and B are two numbers then A is called Numerator and B is called Denominator.

Percentage is the comparison of a quantity with respect to the number in  100.

Here given the percentage is 79 percent.

So 79 in 100

So the fractional form of the given percentage is = 79/100.

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The parametric equations are therefore: x is t, y is 1/3 * t, and z is t.

Response: x = t; y = 1/3; t; z = t

Given

At t = 0, r(t) equals f(t) * I + g(t) * j + h(t) * k.

(F (t0), G (t0), and H (t0))

r(t) = ln (t - 1) + (t + 2) * j + t * ln(tk) t * t * 0 = 1 Required Information is Missing

Calculate the parametric equations.

j + t * ln + (t - 1)/(t + 2) * ln + r(t) = ln(ti) (tk)

With regard to t, differentiate (t) = 1/t * I + 3/((t + 2) 2) * j + (ln(t) + 1) Let t=1 (i.e., e * t * t * 0 = 1)

r = 1/1 for prime (1). * I + 3/((1 + 2) ^ 2) * j + (ln(1) + 1) I + 3/(3 2) * k r prime (1) * j + (0 + 1) Prime (1) = I + 3/9 * K R * j + (1) (1) Prime (1) = I + 1/3 * j + * k r (1) I + 1/3 * j + k = * k r prime (1)

To find x, y, and z.

We utilise the following methods to find x, y, and z: r(t) = f(t) (t) * j + h (t) * k + I + g (t)

This suggests that:

prime r (1) * T = xi, yj, and zk

We therefore have:

I + 1/3 * j + k) = xi + yj + zk * t

it + 1/3 * jt + kt = xi + yj + zk.

In contrast:

xi = it

Divide by I x, y, and j to get 1/3 * jt.

Divide by j y = 3/9 * t zk = kt

Divided by k, z equals t.

The parametric equations are therefore: x = t, y = 1/3 * t, and z = t.

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El nuevo sueldo, luego de un incremento del 25%, será $29,678.50

Recordar que si tenemos un número A, y lo incrementamos en un porcentaje X, entonces el nuevo número será:

A' = A*(1 + X/100%)

En este caso el valor inicial is $23,750, y lo incrementamos en un 25%, entonces el nuevo sueldo esta dado por la expresion de abajo.

A' = $23,750*(1 + 25%/100%)

A' = $23,750*(1.25) = $29,678.50

El núevo sueldo del empleado, luego del aumento, será $29,678.50.

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Answer:

Without additional information, it is impossible to answer this question as there is no information about the "she" or "record time" referred to in the question.

The length of each piece of yarn in mixed fraction form if total length is 18 feet, is 2(4/7) feet each for 7 pieces.

What is fraction?

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.

The number of pieces of yarn Cody has = 3

Length of 1 piece of yarn = 6 feet

The number of pieces Cody needs to cut is = 7

The total length of yarn = Number of pieces of yarn × Length of 1 piece of yarn

Apply the arithmetic operation of multiplication.

Substitute the values into the equation -

The total length of yarn = 3 × 6

The total length of yarn = 18 feet

The length of each yarn piece = Total length of yarn / Number of pieces Cody needs to cut

Apply the arithmetic operation of division.

Substitute the values into the equation -

The length of each yarn piece = 18 / 7

The result is obtained in a fractional form -

The length of each yarn piece = 2(4/7)

Therefore, the length of each piece is 2(4/7) feet.

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The graph of y=-3x-1 is given in the attachment.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given equation is  y=-3x-1

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

In the given equation slope is -3.

Let us find few values of x and y.

x    0    1    2     3    4

y    -1   -4   -7    -10  -13

Hence, the graph of y=-3x-1 is given in the attachment.

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For the given distribution, the Expectation, E(2X² + 3X) is 28.9

Now here we see that we have the distribution given to us

We need to find

E(2X² + 3X)

Now we know that

E(X) = ∑xp(x)

Hence we get

E(2X² + 3X) = 2[1 X 0.2  +  4 X 0.3  +  9 X 0.2  +  16 X 0.4] + 3[1 X 0.2  +         2 X 0.3  +  3 X 0.2  +  4 X 0.4]

= 2[0.2 + 1.2 + 1.8 + 6.4] + 3[0.2 + 0.6 + 0.6 + 1.6]

= 2 X 9.6  +  3 X 3

= 19.2 + 9

= 28.9

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Complete Question

(image Attached)

Answer:

AC ≅ DF

Step-by-step explanation:

1. Given
2. Given
3. The whole is greater than the part.
4. The whole is greater than the part.
5. If equals are added to equals, the wholes are equal.
6. Things which are equal to the same thing are equal to one another.
7. Equal lines are congruent