A. (0,-10)
B.(-10,0)
C.(0,-2)
D.(-2,0)

No, these measurements do not form a triangle. The sum of any two sides of a triangle must be greater than the third side. In this case, 7 cm + 8 cm = 15 cm, which is not greater than the third side, 9 cm.

A triangle is a three-sided polygon, and all three sides must meet certain criteria in order to form a triangle. Specifically, the sum of any two sides must be greater than the third side. In this case, the given measurements are 7 cm, 8 cm, and 9 cm. When adding the 7 cm and 8 cm together, the sum is 15 cm, which is not greater than the third side, 9 cm. Therefore, these measurements do not form a triangle. To determine if a triangle can be formed with any given measurements, one must sum any two sides and ensure that the sum is greater than the third side. If the sum is not greater than the third side, then the measurements do not form a triangle.

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The third binomial formula is given by ( a + b )( a - b) = a² - b².

Binomial theorem in the standard form is given by :

( a + b )ⁿ = ⁿC₀aⁿb⁰ +  ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b² +..............+  ⁿCₙa⁰bⁿ

Binomial formula starts from n = 2

First binomial formula of the binomial theorem is given by :

( a ± b )² = a ² ± 2ab + b²

Second binomial formula is given by:

( a ± b )³ = a³ ± 3a²b + 3ab² ± b³

Third binomial formula is given by :

( a + b) ( a - b) = a² - b²

Therefore, the third binomial formula is equal to ( a + b )( a - b) = a² - b².

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Answer:

87.92 m

Step-by-step explanation:

Circumference = pi*diameter

3.14*28m = 87.92 m

Answer:

It would take 1097 days for the costs in Canada to be equal (up to) the cost in China

Step-by-step explanation:

The information given in the question includes;

1) China initial fee = $1,000,000

Number of people = 10

Payment per person per day = $1

Payment for the 10 people per day = $10

Canada initial fee = $50,370

Number of people = 10

Payment per person per day = $90

Payment for the 10 people per day = $900

Step 1: Define the variables to represent unknown quantities

Let the number of days at which the cost would be equal be X

Step 2: The equations relating the variables are;

$1,000,000 + X-days × $10/day = $50,370 + X-days × $900/day

Step 3: To solve the equation we have;

$1,000,000 - $50,370 =  X-days × $900/day - X-days × $10/day

$949,360 = X-days × $890/day

X-days = $949,360 ÷ $890/day = 1067 days

Step 4: Conclusion: It would take 1097 days for the costs in Canada to be equal (up to) the cost in China

5) The difference in wages can be explained by the following;

1) Low cost of living in China compared to Canada

2) Higher unemployment figures in China

3) Government policies

6) Companies that outsource their manufacturing includes;

1) Apple 2) Cisco 3) Nike

7) Advantages of outsourcing

a) Acquire skilled labor

b) Reduce the distraction of manufacturing and focus on fundamental pursuits

c) Reduce risks

d) Improve efficiency

e) 24 hours up time business  

f) Improved workforce flexibility

g) Service improvement

h) Cost savings

8) Disadvantages of outsourcing

a) Hidden costs of production

b) Potential loss of focus

c) Increased security risks

d) Reduced central control

e) Partake in financial cost of other companies

The equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is: (x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.

To find the equation of the sphere passing through the point (4, 3, -1) with a center at (3, 8, 1), we can use the general equation of a sphere:

(x - h)^2 + (y - k)^2 + (z - l)^2 = r^2

where (h, k, l) represents the center of the sphere and r represents the radius.

First, we need to find the radius. The distance between the center and the given point can be calculated using the distance formula:

√[(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2]

Substituting the coordinates of the center (3, 8, 1) and the given point (4, 3, -1), we have:

√[(4 - 3)^2 + (3 - 8)^2 + (-1 - 1)^2]

Simplifying, we get:

√[1 + 25 + 4] = √30

Therefore, the radius of the sphere is √30.

Now we can substitute the center (3, 8, 1) and the radius √30 into the general equation:

(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30

So, the equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is:

(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.

This equation represents all the points on the sphere's surface.

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The vertex of the function y = - 2x² - 4x + 3 is (-1, 5) and the axis of symmetry is x = -1.

The graph of the function y = - 2x² - 4x + 3 is shown in figure.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The quadratic function is;

y = - 2x² - 4x + 3

Now,

Since, In the quadratic equation y = ax² + bx + c,

Axis of symmetry is x = - b / 2a

And, Vertex = ( - b / 2a , f (-b / 2a) )

So,  In the quadratic equation y = - 2x² - 4x + 3,

Axis of symmetry is x = - (-4) / 2 x -2

                                = 4 / -4

                                = - 1

And, f ( - b/2a) = f (-1) = - 2 (-1)² - 4(-1) + 3

                               = -2 + 4 + 3

                               = 5

Thus,  Vertex = ( - b / 2a , f (-b / 2a) )

                     = ( - 1, 5)

Therefore, The vertex of the function y = - 2x² - 4x + 3 is (-1, 5) and the axis of symmetry is x = -1.

The graph of the function y = - 2x² - 4x + 3 is shown in figure.

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Answer:

9 complete cans

Step-by-step explanation:

50/6=8 remainder of 2

8 is not enough, they need 9                         o                                                                                          

Answer:

468

Step-by-step explanation:

8/4*234=2*234=468

Answer:

468

Step-by-step explanation:

5+3/ 4 =2

2*234=468

C. If the conditional proposition p is a contingency, it means that there are some truth values of p that make the proposition true and others that make it false. To determine whether -p is also a contingency, we need to consider the truth values of -p for all possible truth values of p.

if we negate a contingency, there will still be some truth values that make the negation true and others that make it false. Therefore, at least one entry in the truth table for p will be T and at least one entry will be F. This means that -p is also a contingency.

if the conditional proposition p is a contingency, then -p is also a contingency because there will be some truth values of p that make the negation true and others that make it false. The correct answer to the question is C.

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There are 5 erasers to accompany the 20 pencils based on the given ratio.

If the ratio of pencils to erasers is 4:1, and there are 20 pencils, we can determine the number of erasers by setting up a proportion.

The proportion can be written as:

pencils/erasers = 4/1

Given that there are 20 pencils, we can substitute this value into the proportion:

20/erasers = 4/1

To solve for erasers, we can cross-multiply:

\(20*1=4*erasers\)

\(20 = 4*eraser\)

Since there is only 1 unit assigned to erasers, we multiply the unit value (5) by the number of eraser units (1) to find the total number of erasers, which is 5.

Dividing both sides by 4:

20/4 = erasers

5 = erasers

Therefore, there are 5 erasers.

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Answer:

804

Step-by-step explanation:

Step 1 300/x =100%/268%

step 2 x/300 = 268/100

step 3 cross multiply

Step 4 get x by itself

The proportion of employees in entry-level positions at the company who earn at least $ 42,000 will be 0.48466.

The Gaussian distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

According to a recent survey, the salaries of entry-level positions at a large company have a mean of $ 41,750 and a standard deviation of $ 6500.

Assuming that the salaries of these entry-level positions are normally distributed.

Then the proportion of employees in entry-level positions at the company who earn at least $ 42,000 will be

The z-score is given as

z = (x - μ) / σ

Then we have

z = (42000 - 41750) / 6500

z = 0.03846

Then we have

P(x ≥ 42000) = P(z ≥ 0.03846)

P(x ≥ 42000) = 1 - P(z < 0.03846)

P(x ≥ 42000) = 1 - 0.51534

P(x ≥ 42000) = 0.48466

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Answer: The Answer is A



Step-by-step explanation:

After dividing ( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 )​, we get the quotient as 5 x² - 7 x + 4 and the remainder as 11 x - 21.

We are given an expression:

( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 )​

We need to perform division of the algebraic expression:

                                  5 x² - 7 x + 4

             3 x² + x + 1 √15 x⁴ - 16 x³ + 10 x² + 8 x - 17

                                   15 x⁴ + 5 x³ + 5 x²

                                   ______________________

                                             - 21 x³ + 5 x² + 8 x - 17

                                             - 21 x³ - 7 x² - 7 x

                                   ______________________

                                                       12 x²  + 15 x - 17

                                                       12 x²  + 4 x + 4

                                   ______________________

                                                                   11 x - 21

                                   ______________________

Therefore, after dividing ( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 )​, we get the quotient as 5 x² - 7 x + 4 and the remainder as 11 x - 21.

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{00,01} is pairwise distinguishable by REP2. Any DFA recognizing REP2 must have at least four states. Every DFA recognizing REP k requires at least 2 k states. NFA recognizing REP k requires at least k states.

a) Distinguishing set method is an approach in computer science for finding the smallest deterministic finite automation (DFA) recognizing a given formal language.

Let REP 2 ={ww∣w∈{0,1}2}.

Given S={00,01,10,11},

show that S is pairwise distinguishable by REP 2.

Therefore, for each pair x, y∈S, a string z exists such that exactly one of xz and yz is in REP 2.

Let x, y∈S. Suppose that x≠y. We may assume, without loss of generality, that x=00 and y=01.

Let z=1. Then 00z=001∉REP2, while 01z=011∈REP2.

Hence, {00,01} is pairwise distinguishable by REP2.

Using a similar argument, one can show that each of the other three pairs in S is pairwise distinguishable by REP2.

b) To recognize REP2, a DFA with at least four states is required, since S has four elements, each of which must be distinguished from the others. Since S is pairwise distinguishable by REP2, any DFA that recognizes REP2 must also distinguish S. Therefore, any DFA recognizing REP2 must have at least four states.

c) Let k≥1, REPk={ww∣w∈{0,1}k}. Let A be a DFA recognizing REPk.

For all w∈{0,1}k, define q w =δ(q 0 ,w).

Since REPk is regular, there must be a path from the start state to an accepting state of A that spells each string w∈{0,1}k. But the state sequence from the start state to q w spells w twice, since ww∈REPk.

Therefore, if x≠y, then qx≠qy, since otherwise, either A would accept xw twice or A would accept yw twice. Since there are 2k strings of length k, A has at least 2k distinct states.

d) Suppose that N is an NFA recognizing REPk. Let w∈{0,1}k. Consider the sequence of states that N enters when it processes w, and let S be the set of distinct states in this sequence. Since |S|≤k, some state must be repeated in the sequence, say q i =q j

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Solution

Then for

Note : The base must always be positive

Answer:

40

Step-by-step explanation:

50 x (4/5) = 50 x 4 =200/5=40

Answer:

aba mag solve kayo mag puro tanong samin

Answer:

C

Step-by-step explanation:

Find area of all trinagles and subtract that by total area of square.

Answer:

0.72

Step-by-step explanation:

hope i helped

pls mark brainliest im trying to level up

Answer:

0.719 rounded to the nearest hundredth is 0.720

Step-by-step explanation:

9 is more than 5, so you round up, and the next hundredth is 2, so you get 0.720.

Hope this helps!!!  Brainliest would be appreciated

The statement "If x = -10, then x² = 100" is false. When we square -10, we get 100, so the correct statement would be "If x = -10, then x² = 100."

The statement that is NOT true is:

If x = -10, then x² = 100.

The other three statements are all true:

If x² = 100, then x = 10.This is true because the square root of 100 is ±10, and when we take the square root, we consider the positive square root, which is 10.

If x = 10, then x² = 100. This is also true because when we square 10, we get 100.The statement x² = 100 if and only if x = 10 or x = -10 is true.

This statement is based on the fact that the square root of 100 is ±10, so when we square either 10 or -10, we get 100.

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Answer:

The missing angle will be 64

Step-by-step explanation:

If you do 180 + 90 you will get 270. If you do 270 + 26 you will get 296.

A full turn or circle is 360 degrees. If you do 360 - 296 you will end up with 64 degrees.

Answer:

C. 18

Step-by-step explanation:

let the length is \(x\) \(m\)

    So:       \(8x=144\)

                 \(So:x=18\)

The length of the rectangle with an equal area to the square is 18 m. The correct option is C.

A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.

The square is defined as a quadrilateral having all the sides to be equal and all the angles to be congruent.

Given that one side of square ABCD has a length of 12 meters. A certain rectangle whose area is equal to the area of ABCD has a width of 8 meters.

The area of the square is,

Area = 12² = 144 square meters

The length of the rectangle is calculated as,

Area = 8x

144 = 8x

x= 144 / 8

x = 18 meters

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It is given that the longer leg is 4 cm longer than the shorter leg.

It is also given that the hypotenuse is 8 cm longer than the shorter leg.

Let the shorter leg be x.

The longer leg be y.

Then the relation formed is

It is also given that the hypotenuse is 8 cm longer than the shorter leg.

Let the hypotenuse is z.

Then the perimeter of the right triangle is the sum of all the sides.

But to find the value of x , use the Pythagoras theorem.

Substitute the values.

Solve the quadratic equation to find the value of x.

As x cannot be negative , then the value of x is 12.

The length of shorter leg is 12.

The length of longer leg is 12+4=16.

The hypotenuse is 12+8=20.

Now , the perimeter of right triangle is

The perimeter of the triangle is 48 cm.

Answer:

Step-by-step explanation:

Taking into account the definition of a system of linear equations, the weight of meteorite A and meteorite B is 126 tons and 18 tons respectively.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is

\(\left \{ {{A=7B} \atop {A+B=144}} \right.\)

It is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, substituting the first equation in the second one you get:

7B + B= 144

Solving:

8B= 144

B= 144÷8

B= 18 tons

Remembering that A= 7B, the value of A is calculated as:

A= 7×18

A= 126 tons

Finally, the weight of meteorite A and meteorite B is 126 tons and 18 tons respectively.

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Patrick worked for 19.75 hours this week. Option A is correct.

Given that,
Patrick worked 5.25 hours on Monday 6.75 hours on Wednesday and 7.75 hours on Saturday how many hours did he work for the week is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here, In the week,
Patrick worked, 5.25 hours on Monday 6.75 hours on Wednesday, and 7.75 hours on Saturday.
The total hours patrick worked for = 5.25  + 6.75 + 7.75 = 19.75

Thus, Patrick worked 19.75 hours this week. Option A is correct.

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A fraction is a smaller part of a whole number.

A whole number is defined as the number that is natural and it includes numbers such as 0, 1,2,3,4,5,6,7,8,9, 10. This means that is doesn't contain numbers that has decimal points or fractions such as. 1.5 or 1½ respectively.

A fraction is defined as the part of a whole value such as 1/4 which is 25% of 1. This means that it is the smaller part of a whole number.

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The correct formula for the revenue generated by the item is Revenue = 200p - 5p^2.

The revenue generated by the item can be calculated by multiplying the price (p) by the unit sales (200 - 5p). Therefore, the correct formula for the revenue generated by the item is:

Revenue = Price x Unit Sales
Revenue = p(200 - 5p)
Revenue = 200p - 5p^2

The revenue generated by the item is a quadratic function of the price (p). To find the maximum revenue, we need to differentiate the function with respect to p and set it equal to zero:

dRevenue/dp = 200 - 10p = 0
10p = 200
p = 20

Therefore, the maximum revenue is generated when the price of the item is $20. Substituting p = 20 in the revenue formula, we get:

Revenue = 200(20) - 5(20^2) = $2000

Hence, the correct formula for the revenue generated by the item is Revenue = 200p - 5p^2, and the maximum revenue is achieved when the price of the item is $20, generating a revenue of $2000.

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