Which of the following statement is true?

a. Two adjacent angles can be complementary
b. Two adjacent angles cannot be supplementary
c. An acute angle cannot be adjacent to an obtuse angles
d. Two right angles cannot be adjacent angles

a. the difference in the two data provided =31072940 - 24658823 = 6414117

b. the sum of the two data to the nearest thousand hundred = 31072940 - 24658823 = 55731763

nearest to Thousand hundred = 55730000

The equation of a line can be written as:

y = mx + b

Where m is the slope and b is the y-intercept.

For the word problem, the slope is -10 and the intercept is 50, thus the equation is:

y = -10x + 50

If x is the number of weeks, then y decreases by 10 when x increases by 1. We expect that the value of y goes from 50 down to 40, 30, 20, etc.

The example of the friend is that he started with

Answer:

47.1 inches

Step-by-step explanation:

circumference is pi times diameter

3.14 times 15 is 47.1

Answer:

Step-by-step explanation:

47.1

Answer:

pentagons have five sides

Step-by-step explanation:

We want to find out why the statement disprove the conjecture

What the conjecture assumes is that for all polygons with more than 3 sides, all polygons here having their names ending in ‘gons’ have an even number of sides

The term pentagon refers to a 5-sided polygon

This polygon thus have more than 3 sides. Since 5 is not an even number, then we can conclude that the conjecture has been disproven

Answer:

A. The slope is  \(\frac{3}{2}\)

B.  the slope of the tangent line at x = 1 is also the instantaneous rate of change at that point.

Step-by-step explanation:

PART A: Slope

Given tangent line;

\(y = \frac{3x}{2} + \frac{9}{2}\)

The slope of the tangent line is equal to the derivative of the function;

\(\frac{dy}{dx} =\frac{3}{2}\)

the slope = \(\frac{3}{2}\)

PART B: Correct statement that describe the slope of a tangent line:

A secant line is a straight line joining two points on a function and the slope of the function is equal to average rate of change of the function between the two points.

A tangent line is a straight line that touches a function at only one point, and the slope of the function is equal to the instantaneous rate of change of the function at that one point.

Thus, the correct statement is " the slope of the tangent line at x = 1 is also the instantaneous rate of change at that point".

Answer:

c≤8

Step-by-step explanation:

Let c be the number of copies that you can make

Each copy is 25 cents or .25

It must be less than or equal to 2 dollars

.25c ≤2.00

Divide each side by .25

.25c/.25 ≤ 2.00/.25

c≤8

False. The Six Sigma DMAIC approach is one of many problem-solving methods that can be used, and is most appropriate when the problem is complex and the potential solutions are not immediately evident.

Six Sigma DMAIC (define, measure, analyze, improve, control) is a strategy used to improve processes and products. It is designed to help companies identify and eliminate defects and reduce variability in their processes. It is not the best way to attack all problems, as there are many other problem-solving methods, such as Design Thinking and Lean, that may be more suitable solution depending on the complexity of the problem.

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Answer:

3+8x0+5

= 8

Step-by-step explanation:

8 is ur answer....

The equivalent rational expression for this problem is given as follows:

\(gh\sqrt[3]{49h^2}\)

The rational expression for this problem is given as follows:

\(\sqrt[3]{7g^3h^4} \times \sqrt[3]{7h}\)

As we have the same root, which is the cubic root, we can multiply the terms inside the root, as follows:

\(\sqrt[3]{7^2g^3h^5}\)

The subtraction of the exponents is given as follows:

As 7² = 49, and simplifying the above exponents, the equivalent expression is given as follows:

\(gh\sqrt[3]{49h^2}\)

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Therefore , the solution of the given problem of median comes out to be  R students still present (maximum) =35

The number that precisely falls in the center of a sorted collection is the median value. An average or maximum probability metric is the difference between the initial and final 50% of the data. Different algorithms are employed to compute the average and mode depending on if you do have an unusual or perhaps even number of data points.

Here,

Median is 55

P :Q: R :S :average of 45 :50: 55 :65

The number of pupils within every section needs to be as low as possible 

R is a mean

P differs by 1: 10 from the mean.

Q is 1.5 away from the mean.

Then S will just have three students, or three times five, to keep the population's mean constant.

R students still present (maximum):

=> 40 - 1- 1-3

=> 35

Therefore , the solution of the given problem of average comes out to be  R students still present (maximum) =35

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11 students could sell 1870 cookies.

A statement, at least two variables or integers, and one or more arithmetic operations make up a mathematical expression. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers.

Combining numbers, variables, and operators to represent something's value is known as a mathematical expression. Setting two expressions equal to one another creates an equation, a mathematical statement.

An expression is a collection of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) Expressions and phrases are similar in certain ways. Language phrases can comprise actions on their own, but they do not make up complete sentences.

=  10 X 17

=  170 X 11

= 1870

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Answer:

triangle 1. 10•6=60m²

triangle 2. 25•14= 350cm²

* in case u need help, to find the area of a triangle use this formula;

b • h = a

base • height = area

hope this helps

#1

Area:-

\(\\ \sf\longmapsto \dfrac{1}{2}BH\)

\(\\ \sf\longmapsto \dfrac{1}{2}(6)(10)\)

\(\\ \sf\longmapsto 3(10)=30m^2\)

#2

Area:-

\(\\ \sf\longmapsto \dfrac{1}{2}(25)(14)\)

\(\\ \sf\longmapsto 25(7)\)

\(\\ \sf\longmapsto 175cm^2\)

Answer:

The diameter of the floor is 6 yards

Step-by-step explanation:

Here, we are to calculate the diameter of a circular floor that has a circumference of 18.84 yards

Mathematically,

C = π * D

where C is the circumference

Plugging the values of the circumference , we have ;

18.84 = 22/7 * D

7 * 18.84 = 22D

D = (7* 18.84)/22 = 5.99 which is approximately 6 yards

Using transformations, the coordinates of the points are given as follows:

The rule for a rotation of 180º degrees about the origin is given as follows:

(x,y) -> (-x, -y).

Meaning that the signal of both the x-coordinate and of the y-coordinate is exchanged.

The coordinates of point A are given as follows:

A(-1,2).

Hence the coordinates of A' are given as follows:

A'(1, -2).

The rule for a dilation with a scale factor of k is given as follows:

(x,y) -> (kx, ky).

Meaning that each coordinate is multiplied by the scale factor.

Considering the scale factor of 2, the coordinates of A'' are given as follows:

A'' (2, -4).

Those three points are plotted on the image given at the end of the answer.

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If the construction crew built the road at a rate of 5.12 kilometers per week and worked for 4 weeks, the number of kilometers they built is 20.48 kilometers.

The rate refers to the speed or the average by which an action is performed per a measurement unit.

The rate can be computed as the ratio of one value or quantity in relation to another.

The building rate per week = 5.12 km per week

The number of work weeks = 4

The total number of kilometers of road constructed within 4 weeks = 20.48 (5.12 x 4)

Thus, given the rate of construction per week, the construction crew built 20.48 kilometers of road in 4 weeks.

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The error interval for the area of the shaded region is given as follows:

56.6 < a < 56.8.

The area of the circle is of 78.1 cm², rounded to one decimal place, hence the interval for the area of the circle is of:

78.05 <= area circle < 78.15.

The area of the square is of 21.4 cm², rounded to one decimal place, hence the interval for the area of the circle is of:

21.35 <= area square < 21.45.

The error formula is:

Area circle - Area square.

The minimum error is when the area of the circle is the greatest and the square is the least, hence:

m = 78.15 - 21.35

m = 56.8.

The maximum error is when the area of the circle is the least and the square is the greatest, hence:

n = 78.05 - 21.45

n = 56.6.

Meaning that the error interval is of:

56.6 < a < 56.8.

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Answer:

Step-by-step explanation:

Since ∠S and ∠Y are complementary, we have:

∠S + ∠Y = 90°

We also know that:

m∠S = 2(m∠Y) − 30°

Substituting the second equation into the first equation, we get:

2(m∠Y) − 30° + ∠Y = 90°

Combining like terms:

3(m∠Y) = 120°

Dividing both sides by 3:

m∠Y = 40°

Therefore, m∠Y is 40 degrees.

Answer:

-6

Step-by-step explanation:

You need to get it in Point-Slope form, or

y = mx + b

Isolate y by subtracting 6x

You are left with:

y = -6x + 24

M is the slope, so in this case, it is -6

Answer:

The slope is -6/1 but the slope-intercept form is y=-6x+24

Step-by-step explanation:

y=mx+b

6x+y=24

first you want to subtract 6x from each side.

y=-6x+24

m=-6x or -6/1

b= 24

To solve a polynomial inequality, The resulting values of x are the critical numbers.Once you have the critical numbers, you can use them to create test intervals for the inequality.

The critical numbers divide the number line into test intervals. Next, choose a test point from each interval and substitute it into the polynomial inequality. If the result is positive, then all values in that interval satisfy the inequality. If the result is negative, then the values in that interval do not satisfy the inequality.

When solving a polynomial inequality, it is important to find the critical numbers of the polynomial. These are the values of x where the polynomial is equal to zero or undefined. To find the critical numbers, set the polynomial equal to zero and solve for x.

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Answer:

y=4

x=-1

Step-by-step explanation:

replace y

2x+6=-x+3

3x=-3

x=-1

y=2x+6

y=2(-1)+6

y=-2+6

y=4

Answer:

D = 1.9

You can find for d by using the associative property of division (divide instead of multiply):

5.7 divided -3 = 1.9

Step-by-step explanation:

Hope it helps! =D

As the number of people visiting each day is the same 404 people visited on Sunday.

We have,

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, The water park had a total of 1,212 visitors on Friday, Saturday, and Sunday and the number of people who visited on each day is the same.

As the number of visitors is same on each day and the total number of days is three each they the number of people visited is,

= (1212/3).

= 404.

So, On Sunday 404 visitors were there.

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complete question:

The water park had a total of 1,212 visitors on Friday, Saturday, and Sunday. If the same number of people visited each day, how many visitors were there on Sunday

Answer:

53°

Step-by-step explanation:

As we can see that ∠3 and ∠7 are corresponding angles. Therefore,

Now calculate the angles of ∠3 and ∠7.

Now we can see that ∠3 and ∠1 are alternate angles and ∠7 and ∠1 are alternate exterior angles. Thus, we can say that

Hence the measure of ∠1 is 53°.

♦♦♦♦♦Hope it helps♦♦♦♦♦

Answer: 18.6 or 93/5

Step-by-step explanation:

See attached picture

The required number of letters to code for 1510 products is given as 7 letters.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets.

Here,
There are 3 possibilities for a letter,
Suppose we need n letters
so 3ⁿ > 1510

Since we need to code for 1510 products that means 3ⁿ must be greater than 1510
So
3⁶ < 1510
3⁷>1510

Thus, the required number of letters to code for 1510 products is given as 7 letters.

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Answer:

11- 64 degrees

12- 66 degrees

13- 89 degrees

14- 99 degrees

Step-by-step explanation:

11. 100 + 130 + 66 = 296

360 - 296 = 64

12. 103 + 133 + 58 = 294

360 - 294 = 66

13. 154 + 88 + 29 = 271

360 - 271 = 89

14. 101 + 92 + 68 = 261

360 - 261 = 99

hope this helps :)