defined so that it produces the greatest integer or equal to x f(x) = [(x)]

Step-by-step explanation:

The opposite angles of a Parallelogram are

(4p+ 5)° and (3p+15)°

Opposite angles are equal in a Parallelogram.

(4p+5)° = (3p+15)°

4p - 3p = 15°- 5°

P= 10°

If p = 10° then the value of (4p+5)°

= 4(10)+5

= 40+5

= 45°

Adjacent angles are Supplementary in a

Parallelogram.

Supplementary angle of 45°

= 180°- 45°

= 135°

The formula for this linear function is f(x) = mx + b, where m is the slope (in this example, -350), and b is indeed the y-intercept (750,000 in this case).

An equation expressing the connection between the expressions on either side of a sign. Normally, it has an equal sign and just one variable. such as: 2x - 4 is equal to 2. The variable x is present in the example above.

Workers who complete the computer security course will each receive a reimbursement of $350.

We deduct $350x from of the initial $750,000 to determine how much money will remain inside the education fund once x employee gets the reimbursement.

Thus, f(x) = 750,000 - 350x is the equation again for function that describes that amount of money still in the fund when x employees receive the refund.  

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The new coordinates of the image of the shape are

The picture of the graph showing the image is attached

The rule for 90 degrees clockwise rotation is

(x, y) becomes (y, -x)

The rule involves interchanging the coordinates of the ordered pair such that x takes the place of y and y tales the place of x and a change of sign

performing the rotation we have the new coordinates as below

(2, 3) becomes (3, -2)

(2, 2) becomes (2, -2)

(4, 2) becomes (2, -4)

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The range of \(y =\log_8(x)\) is the set of all real values

The function is given as:

\(y =\log_8(x)\)

The above function is a parent logarithmic function.

The parent logarithmic function have a range of the set of all real values

Hence, the range of \(y =\log_8(x)\) is the set of all real values

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Answer:

D

Step-by-step explanation:

on edg

Total fabric used per player is 312.56 inches.

To get the quantity of fabric used accessories per player, we need to add the fabric used for headbands and wristbands and divide by total number of players.

The total fabric used for headbands for players and coaches is 727.32 inches.

The total players and coaches is:

= 34 + 4

= 38

Length of fabric used for them is:

= 727.32 / 38

= 19.14 inches

The fabric used for wristbands per player is 293.42 inches

So, the total fabric used per player is:

= 19.14 + 293.42

= 312.56 inches.

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Answer:

do 27/3...............

Answer:

No, we can't make 20 by adding 5 odd numbers.

Step-by-step explanation:

An odd number is represented by 2n+1, the sum which we got is represented in this form, so it's obviously an odd number. But 20 is an even number, so sum can't be 20.

The expression for dividing 20 for 5 times is 4/(2n + 1).

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the data provided in the question,

The formula for any odd number is (2n + 1), whereby n is any integer.

Now, the number will be,

⇒ 20/(5 × (2n + 1))

⇒ 4/(2n + 1)

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Answer:

0.18 meters taller

Step-by-step explanation:

1 7/10 → 1.70

1.88

-1.70

---------

0.18

Answer:

the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) is 0.394

Step-by-step explanation:

  Given the data in the question;

                Underweight   Healthy Weight    Overweight (not Obese)    Obese

Probability       0.017              0.377                        0.343                          0.263

so

P( underweight) = 0.017

P( Healthy Weight) = 0.377

P( Overweight (not Obese) ) = 0.343

P( Obese ) = 0.263

now, the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) range will be;

P( weigh less than overweight(but not obese) =  P( underweight) + P( Healthy Weight)

P( weigh less than overweight(but not obese) = 0.017 +  0.377

P( weigh less than overweight(but not obese) = 0.394

Therefore, the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) is 0.394

The length of side X in simple radical form with a rational denominator is 25/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 5 × 5/√3

Hypotenuse, x = 25/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The mode will not change.

Given data,

58,60,53,54,60,35,58,60

Outlier is the value in a set of data that much higher or lower than other values in data.

from given data, outlier is 35.

Mode is the value in a set of data that occurs more frequently in set of data.

from given data, 60 occurs more frequently.

Hence, 60 is the mode of data.

If outlier is removed from the data set then it will not affect the mode of the data

Thus, the mode will not change.

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Answer:

I think its C

Step-by-step explanation:

Answer: To find the absolute value of the expression 1 1/2 - 2/31, we first need to convert the mixed number 1 1/2 into an improper fraction.

1 1/2 can be written as (2 * 1 + 1) / 2, which is equal to 3/2.

Now we can subtract 2/31 from 3/2:

3/2 - 2/31 = (3 * 31 - 2 * 2) / (2 * 31) = (93 - 4) / 62 = 89/62.

The absolute value of a fraction is the positive value without considering its sign. So, the absolute value of 89/62 is 89/62.

Therefore, the absolute value of 1 1/2 - 2/31 is 89/62.

After 2.14 hours the trains are exactly 300 miles apart.  

Two trains leave the same station at the same time, one traveling west at a constant speed of 60 miles per hour, the other traveling south at a constant speed of 80 miles per hour.

The time both of them will travel 300 miles can be calculated as follows:

Therefore,

speed = distance / time

distance = speed × time

The train that travel west:

let

t = time of the train that travel west

distance = 60t

The train that travel south:

distance = 80t

Therefore,

total distance = 60t + 80t

300 = 140t

t = 300 / 140

t = 2.14285714286

t = 2.14 hours

Therefore,

time taken  = 2.14 hours

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Answer:

I think its A

Step-by-step explanation:

Answer:

We can use the formula to find the length of a circular arc given the measure of the central angle and the radius:

Length of arc = (central angle measure / 360) x 2πr

where r is the radius of the circle.

Given that the central angle measure is 40° and the length of the arc is 6 cm, we can set up the equation:

6 = (40/360) x 2πr

Simplifying the fraction and solving for r, we get:

6 = (1/9) x 2πr

r = 9 x 6 / 2π

r = 27/π

So the radius of the circle is 8.59 cm (rounded to two decimal places).

Answer:

i do not know

Step-by-step explanation:

Answer:

104

Step-by-step explanation:

Let's say that the numbers are x and y. So, we know that....

x+y=186

y-x=22

Now we can use the substitution method to find the numbers. y-x=22 turns into y=22+x. And now we can substitute to the second equation into the first equation.  

x+22+x=186

2x=164

x=82

y=22+82

y=104

Our numbers are 82 and 104 and the larger integer is 104, so that's the answer.

Answer:

I believe the answer is 104.

Step-by-step explanation:

Because 186 - 104 = 82 and 104 - 22 = 82.

Answer:

\(5/8\)

Step-by-step explanation:

Since all the people sit on the chairs at random, the probability of a certain chair being occupied by a boy is equal to the probability of randomly picking a boy from the class. Since there are 24 people total and 15 of them are boys, there is a \(\frac{15}{24}=\boxed{\frac{5}{8}}\) chance that the thirteenth chair is occupied by a boy.

-2x - 6 = 10

-2x = 16

-x = 8

x = -8

Step-by-step explanation:

70 to 85 % of his maximum

Maximum is estimated to be 220 - age  = 220 - 42 = 178

70% of this is 125

85 % is 89  151  

I believe I would go with the third choice  116-160 bpm

(a) | BD | bisects | AC | (reason : Given)

(b) |AD| ≅ |CD| (reason: |BD| is the perpendicular bisector of segment AC).

(c) ∠ABD ≅ ∠CBD (reason: | BD |  bisects angle ABC)

(d) ∠A ≅ ∠ C (reason: complementary angles of a right triangle)

Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles.

From the first statement, we will complete the flow chart as follows;

line BD bisects line AC (reason : Given)

line AD is congruent to line CD (reason: line BD is the perpendicular bisector of segment AC)

Angle ABD is congruent to angle CBD (reason: line BD bisects angle ABC)

Angle A is congruent to angle C (reason: angle ABD = angle CBD, and both triangles ABD and CBD are right triangles).

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The low Q₁ is 13 and the median Q₃ is 16.5, the high is 18 and the interquartile range is 3.5

The interquartile range is a measure of dispersion that tells us how spread out the middle 50% of a dataset is. To calculate the IQR, we first need to find the quartiles of the dataset. Quartiles divide a dataset into four equal parts, with the first quartile (Q₁) representing the 25th percentile, the second quartile (Q₂) representing the 50th percentile (also known as the median), and the third quartile (Q₃) representing the 75th percentile.

To find the quartiles of the dataset {10, 13, 13, 14, 15, 15, 16, 17, 18}, we first need to order the data in ascending order:

10, 13, 13, 14, 15, 15, 16, 17, 18

The low is the smallest value in the dataset, which is 10.

To find Q₁, we need to find the value that is 25% of the way through the dataset. Since we have 9 values in our dataset, 25% of 9 is 2.25. This means that Q₁ lies between the 2nd and 3rd values in the dataset, which are both 13. To find the exact value of Q₁, we can take the average of these two values:

Q₁ = (13 + 13) / 2 = 13

The median is the middle value in the dataset, which is 15.

To find Q₃, we need to find the value that is 75% of the way through the dataset. 75% of 9 is 6.75, which means that Q₃ lies between the 6th and 7th values in the dataset, which are 16 and 17, respectively. To find the exact value of Q₃, we can take the average of these two values:

Q3 = (16 + 17) / 2 = 16.5

The high is the largest value in the dataset, which is 18.

Now that we have found the quartiles, we can calculate the IQR by subtracting Q1 from Q₃:

IQR = Q₃ - Q₁ = 16.5 - 13 = 3.5

Therefore, the interquartile range of the dataset {10, 13, 13, 14, 15, 15, 16, 17, 18} is 3.5. This tells us that the middle 50% of the dataset is relatively tightly clustered around the median, with values ranging from 13 to 16.5.

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Answer:

  (b)  (x -10)(x +10)

Step-by-step explanation:

The factorization of the difference of squares is a special form:

  a² -b² = (a -b)(a +b)

Your expression is recognizable as the difference of squares:

  x² -100 = x -10²

Using the above form, the factorization is ...

  = (x -10)(x +10) . . . . . . . . matches the second choice

Quadratic function is  3(x+3)(x-2) given the roots ( -3, 0 ) and ( 2, 0 ) and the point ( 1, -12 ).

In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic.

Standard form, vertex form, and intercept form are three alternative ways a quadratic function can be expressed. The basic forms of each of them are as follows:

f(x) = ax² + bx + c in standard form, where a 0.

Vertex form: (h, k) is the vertex of the parabola representing the quadratic function, and f(x) = a(x - h)² + k is the equation.

The quadratic function's x-intercepts are (p, 0) and (q, 0), and its intercept form is f(x) = a(x - p)(x - q), where a 0.

Given Data

Roots (-3,0) and (2,0)

Point (1,-12)

y = a(x-(-3) (x-2)

y = a(x+3)(x-2)

Equating points

-12 = a(1+3)(1-2)

-12 = a(4)(-1)

-12 = -4a

a = 3

f(x) = 3(x+3)(x-2)

Function is  3(x+3)(x-2).

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Answer: the answer is the 3rd bubble:)

Step-by-step explanation:

Answer:

22 = 2 × 11

40 = 2 × 2 × 2 × 5

LCM of 22 and 40 = 2^3 × 5 × 11 = 440

The numbers are compared with the inequality symbols as follows:

a. 3 > -3.

b. 12 < 24.

c. -12 > -24.

d. 5 = - (-5).

e. 7.2 > 7.

f. -7.2 < 7.

g. -1.5 = -3/2.

h. -4/5 > -5/4.

i. -3/5 = -6/10.

j. -2/3 < 1/3.

The inequality symbols used in this problem are defined as follows:

The observations to some items are given as follows:

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Answer:

Its B and C

Step-by-step explanation:

Answer:

The graph does have a minimum, it does have zeros of -4 and 2, the y-int is at (0,-8), and the solution is represented at (1,9)

Answer:

A.10,4

B.5,10

C.5,5

D4,4

Step-by-step explanation:

KERE ON LERNER?