a quadrilateral that is not a rectangle is inscribed in a circle. what is the least number of arc measures needed to determine the measures of each antgle in the quadrialteral

The Remainder is 3 and the Quotient is 2141.

Therefore,

The given Divisor = 4 and Dividend = 8567

4 ÷ 8567

= 2141.75

The Quotient is 2141 and the Remainder is 3

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The correct explicit rule is f(n) = 50 + 30n

An explicit rule is a mathematical formula that directly gives the n-th term of a sequence or the value of a function for a given input, without the need to find other terms first. It can be expressed using variables, constants, and operations such as addition, subtraction, multiplication, and division.

To determine who is correct, we need to first understand the meaning of the variables in the explicit rules.

Let n be the number of days the car is rented for.

Let f(n) be the cost of renting the car for n days.

The deposit is a one-time charge and is not dependent on the number of days rented. Therefore, the constant term in the explicit rule should be 50.

Now, for each day rented, the cost is $30. This means that the cost for n days should be 30n.

So the correct explicit rule is:

f(n) = 50 + 30n

Therefore, Kevin is correct with the explicit rule f(n) = 50 + 30(n-1). This is because we subtract 1 from n since the deposit is charged only once at the beginning and is not included in the daily rate.

Suzanne's explicit rule, f(n) = 80 + 30(n-1), adds an extra $30 to the cost of renting the car, which is not correct.

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Out of 5,000 drivers, there 1,850 are person drive the car.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

From a survey of 100 drivers, 37 said they drove cars, 43 said they drove trucks, 12 said they drove vans, and 8 said they drove motorcycles.

Now,

Since, From a survey of 100 drivers, 37 said they drove cars.

Hence, Out of 5,000 drivers;

Let the number of person drive the car = x

So, By definition of proportion, we get;

⇒ 100 / 37 = 5000/x

Solve for x as;

⇒ x = 5000 × 37 / 100

⇒ x = 50 × 37

⇒ x = 1,850

Thus, The number of person drive the car = 1,850

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Answer:

So, I solved it and I got this:

Simplify the expression.

24 x^ 4

Step-by-step explanation:

hope this helps! have a great day!

16 * -4 = -64

First, 16*4 = 64.

Second, a positive times a negative equals a negative.

Other justification:

   16 x -4 means you add -4 to itself 16 times:

   -4 + -4 + -4 + -4 + ... for a total of 16 times gives you -64.

The polynomial function over the complex numbers is,

(x + 1i) ( x - 1i) (x+ 7) ( x + 2).

What is factoring a polynomial?

Factorization of polynomials, also known as polynomial factorization, is a mathematical and computer algebraic technique that combines irreducible factors with coefficients in the same domain to produce a polynomial with coefficients in a given field or in integers.

Consider, the given polynomial

f(x) = x^4 + 9x^3 + 15x^2 + 9x + 14

We can use a factoring "trick" here....write this as

x^4 +  9x^3 + 14x^2  + x^2  + 9x  + 14 = 0    factor by grouping

x^2 ( x^2 + 9x + 14)  +  1 ( x^2 + 9x + 14) = 0

(x^2 + 1) (x^2 + 9x + 14) = 0

(x^2 + 1) (x^2 + 9x + 14) = 0

⇒ (x^2 + 1) = 0,  (x^2 + 9x + 14) = 0

x^2 = -1,          x^2 + 7x + 2x + 14 = 0

x = ±i ,              x(x + 7) + 2(x + 7) = 0

x = ±i ,              (x + 7)(x + 2) = 0

⇒ (x + i)(x - i)(x + 7)(x - 7) = 0

(x + 1i) ( x - 1i) (x+ 7) ( x + 2) = 0

Hence, the polynomial function over the complex numbers is,

(x + 1i) ( x - 1i) (x+ 7) ( x + 2).

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There will be 221 highway signs on the road trip.

What is Total Length?

Whole Length (TL) is the measurement taken in a straight line, with the fish lying on its side, from the tip of the snout to the end of the tail (caudal fin).

The total length of the road trip is 13.2 hours.

Highway signs are posted every 0.06 hours. To find out how many highway signs are on the road trip, we can divide the total length of the road trip by the interval between each sign and then add one more sign for the end of the road trip:

(number of signs) = (total length of road trip) / (interval between signs) + 1

Substituting the values, we get:

(number of signs) = 13.2 / 0.06 + 1

(number of signs) = 220 + 1

(number of signs) = 221

Therefore, there will be 221 highway signs on the road trip.

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Answer: 14.6

Step-by-step explanation:

I made a square around the triangle which I then counted the squares, found the Pythagorean theorem, and then added the missing sides together

Answer:

18 > x or x < 18

Step-by-step explanation:

This is a linear inequality.

15(x + 1) + 7 > 11x + 4 + 5x

15x + 22 > 16x + 4

22 - 4 > 16x - 15x

= 18 > x

The fuction f(x) = x², as represented in the graph. we now need to fond the equation of function G(x) which is same as function f(x) but slightly displaced to the left side of x - axis.

As we know, when the displacement is along negative x - axis (let it be c), the function changes as :

\(\qquad\displaystyle \tt \dashrightarrow \: g(x) = f(x + c)\)

\(\qquad\displaystyle \tt \dashrightarrow \: g(x) = (x + c) {}^{2} \)

Now, lets check it out to fond the value of c ~

put value of x and y from any point on the graph of g(x)

[ let it be (-3, 0) ]

\(\qquad\displaystyle \tt \dashrightarrow \: 0 =( - 3 + c) {}^{2} \)

\(\qquad\displaystyle \tt \dashrightarrow \: 0 = ( - 3 + {c}^{} )\)

\(\qquad\displaystyle \tt \dashrightarrow \: c = 0 + 3\)

\(\qquad\displaystyle \tt \dashrightarrow \: c = 3\)

now, plug in the value of of c in the required equation and its done ~

\(\qquad\displaystyle \tt \dashrightarrow \: g(x) = (x + 3) {}^{2} \)

The measures in the circle given in the image above are calculated as:

1. m<PSQ = 130°;   2. m<AQS = 30°; 3. m(QR) = 100°; 4. m(PS) = 110°; 5. (RS) = 70°.

In order to find the measures in the circle shown, recall that according to the inscribed angle theorem, the measure of intercepted arc is equal to the central angle, but is twice the measure of the inscribed angle.

1. m<PSQ = m<PAQ

Substitute:

m<PSQ = 130°

2. Find m<PBQ:

m<PBQ = 1/2(m(PQ) + m(RS)) [based on the angles of intersecting chords theorem]

Substitute:

m<PBQ = 1/2(130 + 2(35))

m<PBQ = 100°

m<AQS = 180 - [m<BAQ + m<PBQ]

Substitute:

m<AQS = 180 - [(180 - 130) + 100]

m<AQS = 30°

3. m(QR) = m<QAR

Substitute:

m(QR) = 100°

4. m(PS) = 180 - m(RS)

Substitute:

m(PS) = 180 - 2(35)

m(PS) = 110°

5. m(RS) = 2(35)

m(RS) = 70°

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Answer:

9x^2 + 6x + 1

Step-by-step explanation:

area = side × side

a) The enlargement needed to be done is 25%.

b) The succession time should be at least t=9 to get a final copy that is less than 15% of the original size.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Let the size of the page be q, when it is reduced to 80%, its size becomes

= 80% x q

= 0.80(q)

= 0.80q

When you want to return it into its original size q,

x(0.80q) = q

x = q / 0.80q

x = 1.25

x= 125%

Hence, the enlargement needed to be done is 25%.

b) The size of the page after t number of copying done is given by

C(t) = \(C_0(0.80)^t\)

So, C(t) / \(C_0\) = \((0.80)^t\)

0.15 ≤  \((0.80)^t\)

Taking log on both side

log (0.15) ≤ log \((0.80)^t\)

log (0.15) ≤ t log (0.80)

log (0.15) /log (0.80)  ≤ t

0.80 ≤ t

Hence, the succession time should be at least t = 9 to get a final copy that is less than 15% of the original size.

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re The point-slope form of a line is

The slope m of the line passing through these two points is the difference between their y coordinates divided by the difference between their x - coordinate.

Now we need only find the y-intercept.

Let us use the point (3, 4) which tells us that at x = 3, y = 4; therefore,

Hence, the question of our line in point-slope form is

Alternatively, when we have the slope of the line we would just use one of the points to quickly write the point-intercept form.

The y_1 and x_1 in the very first equation are the coordinates of one of the points on the line =. We know that one of the point on our line is (3, 4);

Answer:

9

Step-by-step explanation:

mx - y (m = 2, x = 7, y = 5)

(2*7) - 5

= 14 - 5

= 9

Answer: D

Step-by-step explanation:

An irregular pentagon with all sides in whole inches and angles summing up to 540 degrees can be drawn with the following measurements: 2 in, 3 in, 4 in, 5 in, and 8 in.

Explanation:

To draw an irregular pentagon with all sides in whole inches and angles summing up to 540 degrees, we need to use a combination of different side lengths that add up to 5 sides, while also ensuring that the angles add up to 540 degrees. One possible set of measurements for the sides of the pentagon that meet these requirements is:

2 inches

3 inches

4 inches

5 inches

8 inches

To confirm that the angles add up to 540 degrees, we can use the formula:

sum of interior angles = (n - 2) x 180

where n is the number of sides of the polygon. For a pentagon, n = 5, so the formula becomes:

sum of interior angles = (5 - 2) x 180 = 540 degrees

We can also check that the sides of the pentagon are unequal by comparing their lengths. As all the side lengths are whole numbers, we can easily verify that no two sides are the same. Therefore, we have successfully drawn an irregular pentagon with all sides in whole inches and angles summing up to 540 degrees, using the measurements of 2 in, 3 in, 4 in, 5 in, and 8 in.

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Answer:

14u

Step-by-step explanation:

6u+6u–3u+5u

= 12u - 3u + 5u

= 9u + 5u

= 14u

So, the answer is 14u

Answer:

D

I'm not sure but

The 9 has to be in in front of the brackets in order to tell us which operation we are using. If 1+5 is in brackets, then it would be D because y pi know what you are adding (1+5) to.

Answer:

7054.7

Step-by-step explanation:

7054.7 is 7054.72 rounded to the nearst 10

Answer:

7050

Step-by-step explanation:

7050, 5 is in tens and the 4 is in ones but it's less than 5 so it will be zero

Answer:

x=-2, -6 > pick the first answer choice !!!!!

Step-by-step explanation:

Let's solve your equation step-by-step.

|x+4|=2

Solve Absolute Value.

|x+4|=2

We know either x+4=2or x+4=−2

x+4=2 (Possibility 1)

x+4−4=2−4 (Subtract 4 from both sides)

x=−2

x+4=−2 (Possibility 2)

x+4−4=−2−4 (Subtract 4 from both sides)

x=−6

Answer:

x=−2 or x=−6

Answered by the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!

HOPE THIS HELPED!!! BAHAHAHAHAHA

Answer:

\(X= \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \left[\begin{array}{ccc}21\\20\\\end{array}\right] \\\)

Step-by-step explanation:

Given the simultaneous equation

x+y=21

5x+4y=20

To write in matrix form, it must be in the form AX= b

X = A⁻¹b

A⁻¹ is the inverse of matrix A

A is a 2by2 matrix

X is the variables

b is a column matrix

The expression will therefore be written as;

\(A=\left[\begin{array}{ccc}1&1\\5&4\\\end{array}\right] \\\\|A| = 1(4)- 5(1)\\|A| = 4-5\\|A| = -1\\A^{-1} = -\left[\begin{array}{ccc}4&-1\\-5&1\\\end{array}\right] \\\\A^{-1} = \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \\\)

Hence the required product matrix that represent X is;

\(X= \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \left[\begin{array}{ccc}21\\20\\\end{array}\right] \\\)

Answer:

823516

Step-by-step explanation:

hope this helps

Answer:

7^7 times -3^3, or -22235661

Step-by-step explanation:

The smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.

What is the intermediate value theorem?

Intermediate value theorem is theorem about all possible y-value in between two known y-value.

x-intercepts

-x^2 + x + 2 = 0

x^2 - x - 2 = 0

(x + 1)(x - 2) = 0

x = -1, x = 2

y intercepts

f(0) = -x^2 + x + 2

f(0) = -0^2 + 0 + 2

f(0) = 2

(Graph attached)

From the graph we know the smallest positive integer value that the intermediate value theorem guarantees a zero exists between 0 and a is 3

For proof, the zero exists when x = 2 and f(3) = -4 < 0 and f(0) = 2 > 0.

Your question is not complete, but most probably your full questions was

Given the polynomial f(x)=− x 2 +x+2 , what is the smallest positive integer a such that the Intermediate Value Theorem guarantees a zero exists between 0 and a ?

Thus, the smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.

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Answer:

a = 9    b = 9    c = 18

Step-by-step explanation:

a+b = c

a+ b + c = 36        but we know   a+b = c   sub that in

  c    + c = 36

       c = 18             now  a + b = c    and a and b are the same

                                   so  a and b are = 9

Answer:

a is 9

b is 9

c is 18

Step-by-step explanation:

Let's list the information provided

a + b =c

a + b + c = 36

a=b

Knowing that a=b we can replace b with a in the equations

a+a is the same as 2a since a is being doubled

2a=c

Knowing this we can replace c with 2a

2a+2a=36

Now solve for a

\(2a+2a=36\\4a=36\\\frac{4a}{4} =\frac{36}{4} \\a=9\)

Now let's sub this value of a into the equations to see what the other values are

a=b

9=b

2a=c

2(9)=c

18=c

The mean of all exam scores in the class is 72.67 ~ 73 . Mean is ratio of sum of score in all exam to the total numbers of all exams.

The exam scores are normally distributed , normally distributed is an arrangement in which most of values in middle and rest are symmetrically distributed at the ends 80th percentile of scores earned 85 it implies that 80% of students score is 85 or less and 30th percentile of scores earned 65 means 30% of students score is 65 or less .

Z-score value for 80th percentile is 0.841

Z-score value for 30th percentile is – 0.524

Formula for normally distributed,

Z =( X – μ) / σ

where μ is mean of scores , σ is standard deviations of scores ,X is sample mean

For 80th percentile , X= 85 , Z= 0.841

0.841=( 85- μ) /σ ----(1)

-0.524= (65-μ) / σ ----(2)

Solving equations (1) and (2)

- (841/524)= (85-μ )/( 65-μ) => 841μ – 841(65) = -524μ +85(524)

⇒ 1365μ= 99,205 => μ= 72.67

So, the value of mean of scores obtained by students in a class is 72.67 ~ 73

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Answer:

7 cookies

Step-by-step explanation:

42 - 35 = 7

The vector (nu) x is an eigenvector of A and corresponds to each nonzero complex scalar (nu) (lambda).

Let x in Cn be an eigenvector of A that corresponds to an eigenvalue. Assume that A is a n x n matrix (lambda). Ax = (lambda)x follows.

Let (nu) now be a complex scalar that is nonzero. A((nu)x) = A((nu)x) = A((nu)x) = A((nu)x) = A((nu)x) = A((nu)x)

As a result, (nu)x is an eigenvector of A that corresponds to (nu) (lambda).

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