Triangle ABC has the coordinates A(-3, -2), B(2, 4) and C(2,-2). What is the area of triangle ABC?
square units

Answer:

The distance is the same(50 meters). So we will operate only with numbers 28.38 and 27.33.

The difference is 28.38-27.33=1.05

So the percent of change is (1.05/28.38)*100%≈3.7%

The answer is 3.7%

Step-by-step explanation:

nice bnha pfp btw

Answer:

1 4/7

Step-by-step explanation:

open the bracket

Collect into like terms

divide

and put it into mixed number

Answer:

x(x+1)=54,Quadratic equation

The System Effectiveness is approximately 0.763.

To calculate the System Effectiveness, we need to multiply the values of Operational Readiness, Design Adequacy, Availability, Maintainability, and Mission Reliability.

System Effectiveness = Operational Readiness * Design Adequacy * Availability * Maintainability * Mission Reliability

Plugging in the given values:

System Effectiveness = 0.89 * 0.95 * 0.98 * 0.93 * 0.99

System Effectiveness ≈ 0.763

Therefore, the System Effectiveness is approximately 0.763.

The correct answer is a. 0.763.

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Keith, the facilities director, joined the project team in wading through raw sewage, causing the team members to perceive him as less intimidating.

By loosening his tie and immersing himself in the unpleasant and challenging task alongside the project team, Keith demonstrated his willingness to get his hands dirty and work at the same level as his colleagues. This act of solidarity broke down the perceived hierarchy between Keith and the rest of the team members. The uncomfortable and unglamorous environment of the sewage created a level playing field, where Keith's position as a director became less apparent and his humanity and willingness to collaborate became more prominent.

As a result, the team members likely felt a sense of camaraderie and unity with Keith. They could see that he was not just a figure of authority but also a team player willing to go the extra mile to contribute to the project's success. This experience might have fostered a stronger bond within the team, increased their respect for Keith, and improved overall communication and collaboration, as they now perceived him as more approachable and relatable. Keith's actions in the face of adversity created a positive shift in the team dynamics and contributed to a more inclusive and effective working environment.

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Answer:

2,007,000,000,000

Step-by-step explanation:

The numbers from left to right here are:

2 trillion

0 hundred billion

0 ten billion

7 billion

0 hundred million

0 ten million

0 million

0 hundredthousand

0 ten thousand

0 thousand

0 hundreds

0 tens

0 ones

Answer:

160 inches

Step-by-step explanation:

An octagon has 8 sides;

20*8=160

option a is the answer you are which class same question is there for me

The radius of convergence of the given series is 1. The series is an alternating series, which means that we can apply the Alternating Series Test to determine the convergence of the series. The ratio test can also be used to show that the radius of convergence is indeed 1.

The given series can be written as:

∞

Σ 8(-1)^n n x^n

n=1

To find the radius of convergence, we can use the Alternating Series Test, which states that if a series is alternating (i.e., the signs of its terms alternate), decreasing, and its limit as n approaches infinity is 0, then the series converges.

In this case, the series is alternating because the signs of its terms alternate between positive and negative. To show that it is decreasing, we can take the derivative of the nth term with respect to x and show that it is negative for all n:

d/dx [8(-1)^n n x^n] = 8(-1)^n n^2 x^(n-1)

Since n^2 is always positive, the sign of the derivative is determined by (-1)^(n+1), which is negative for odd values of n and positive for even values of n. Thus, the series is decreasing for all x.

To show that the limit of the nth term as n approaches infinity is 0, we can use the ratio test. The ratio of the (n+1)th term to the nth term is:

|(8(-1)^(n+1) (n+1) x^(n+1)) / (8(-1)^n n x^n)| = |(-1)(n+1)x / n|

As n approaches infinity, this ratio approaches |-x|, which is less than 1 if |x|<1. Thus, the series converges for |x|<1.

Finally, we need to check the endpoints x=-1 and x=1 to see if the series converges at those points. At x=-1, the series becomes:

∞

Σ 8(-1)^n n (-1)^n

n=1

which is the alternating harmonic series, and we know that it converges to ln(2).

At x=1, the series becomes:

∞

Σ 8(-1)^n n

n=1

which diverges because the nth term does not approach 0 as n approaches infinity.

Therefore, the radius of convergence is 1, and the series converges for -1 < x ≤ 1.

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Step-by-step explanation:

In a equation of a line

y=mx+c

Let's take two points from the graph (0,1) and (4,3)

Slope=m= (3-1/4-0)= 2/4=1/2

C= 1

y=½x+1

Answer:

y = ½x + 1

Step-by-step explanation:

the line pass through (x1,y1) as (-2,0) and (x2,y2) as (0,1) so the line equation can be determine by

\( \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} \)

(y-0)/(1-0) = (x-(-2))/(0-(-2))

y = (x+2)/2

y = ½x + 1

1) Estimate value of the product of 2/3 and 0.55 is, 2/3.

2) The fraction part is, 55 / 100

3) The product of the two numbers is, 11/30

We have to given that,

Estimate the product of 2/3 and 0.55.

And, Convert the decimal 0.55 to a fraction.

And, The product of the two numbers.

Now,

Estimate the product of 2/3 and 0.55,

So, we can round 0.55 to the nearest whole number, which is 1.

Then, multiply 2/3 by 1 to get an estimate of the product.

so, The correct answer is 2/3.

Now, we can convert the decimal 0.55 to a fraction,

= 0.55

= 55/100

= 11/20

Thus,  The correct answer is, 55/100.

And,  the product of 2/3 and 0.55,

= 2/3 x 55/100

= 110/300

= 11/30.

Hence, The correct answer is, 110/300 or 11/30

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Answer:

YELLOW

Step-by-step explanation:

MY TEACHER MADE ME DO THIS LOL

Answer:

T=z(0.07)+z

Step-by-step explanation:

Dat right der

Answer:

The answer is on the paper. Hope it's correct :)

Answer:

we invented it. it's a tool to help things make sense.

Answer:

Step-by-step explanation:

We invent it.  it was invented by Archimedes.

Answer:

About 57.14285714, or 57 1/7 (400/7)

Step-by-step explanation:

Suppose the answer is x. This would mean that x multiplied by 0.56 (56%) would equal 32. To isolate x, you would have to divide both sides by 0.56, making the answer 32/0.56, or About 57 and 1/7

In Question 10, to determine the year when Ryan's salary was highest in real terms, we need to adjust his earnings for inflation using the Consumer Price Index (CPI). Given the CPI values for 1970, 1980, and 1990, we can calculate the real value of Ryan's salary for each year and compare them.

In Question 11, we are asked to identify which item will be included in GDP. GDP measures the value of goods and services produced within a country's borders during a specific time period. We need to determine if the given options represent items that contribute to GDP.

In Question 13, we are discussing the problems with CPI calculations. CPI is used to measure inflation and changes in the cost of living. We need to identify the specific issues associated with CPI calculations.

Question 10: To determine the highest real salary, we need to adjust Ryan's earnings for inflation. We can do this by dividing his earnings in each year by the respective CPI value and then comparing the real values. By performing the calculations, we find that Ryan's salary was highest in 1970 when adjusted for inflation.

Question 11: In this question, option a (vegetables produced in the backyard for self-consumption) is not included in GDP as it represents non-market production for personal use. Option b (jewelry set bought from an antique store) is included in GDP as it involves a market transaction. Option c (rental value of owner-occupied houses) is not included in GDP as it is imputed and not a market transaction. Option d (purchase of a pre-owned car) is included in GDP as it involves a market transaction.

Question 13: The problem with CPI calculations includes both the substitution bias and unmeasured quality change. The substitution bias arises because CPI assumes constant consumption patterns and does not account for consumers' ability to substitute cheaper goods for more expensive ones. Unmeasured quality change refers to the difficulty of accurately capturing changes in the quality of goods and services over time in the CPI calculation. Therefore, the correct answer is that both the substitution bias and unmeasured quality change are problems with CPI calculations.

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Some information that someone might use to solve problems related to a circle design is the Tangent Arc theorem.

The tangent arc theorem states that if an angle is formed by two secants, one secant, one tangent, or two tangents, and also intersects in a space outside of the circle, then the value obtained will be equal to the difference of the values of the intercepted arcs divided by one and a half.

Also, note that angles outside a circle are those whose vertex or arc is pointed outwards and their sides are either secants or tangents. With this information, it will be possible to solve problems related to tangent lines and arc measures.

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Answer:

y = 2x - 4

Step-by-step explanation:

To solve this problem, we must first calculate the slope of the line AB using the formula:

\(\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}\)

where:

m ⇒ slope of the line

(x₁, y₁), (x₂, y₂) ⇒ coordinates of two points on the line

Therefore, for line AB with points A = (2, 5) and B = (4, 4) :

\(m_{AB} = \frac{5 - 4}{2 - 4}\)

⇒ \(m_{AB} = \frac{1}{-2}\)

⇒ \(m_{AB} = -\frac{1}{2}\)

Next, we have to calculate the slope of the line BC.

We know that the product of the slopes of two perpendicular lines is -1.

Therefore:

\(m_{BC} \times m_{AB} = -1\)      [Since BC and AB are at right angles to each other]

⇒ \(m_{BC} \times -\frac{1}{2} = -1\)

⇒ \(m_{BC} = -1 \div -\frac{1}{2}\)      [Dividing both sides of the equation by -1/2]

⇒ \(m_{BC} = \bf 2\)

Next, we have to use the following formula to find the equation of line BC:

\(\boxed{y - y_1 = m(x - x_1)}\)

where (x₁, y₁) are the coordinates of a point on the line.

Point B = (4, 4) is on line BC, and its slope is 2. Therefore:

\(y - 4 =2 (x - 4)\)

⇒ \(y - 4 = 2x - 8\)         [Distributing 2 into the brackets]

⇒ \(y = 2x-4\)

Therefore, the equation of line BC is y = 2x - 4.

Answer:

h = -3y + 2x

Step-by-step explanation:

Add 4x to both sides of the equation.

2h = −6y + 4x

Divide each term in 2h = −6y + 4x by 2 and simplify.

Divide each term in 2h = −6y + 4x by 2.

2h/2 = -6y/2 + 4x/2

Simplify the left side.

h = −6y/2 + 4x/2

Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.

h = -3y+2(2x)/2

Cancel the common factors.
Factor 2 out of 2.

h = -3y+2(2x)/2(1)
Cancel the common factor

h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1

Divide 2x by 1.
h = -3y + 2x

hopefully its right LOLZ

Answer:

c)

subtract 5 times the second equation from 2 times the first equation

Step-by-step explanation:

subtract 5 times the second equation from 2 times the first equation

This will make the coefficient of the y variable 10

for both equations

10y - 10y = 0

leaving only x

Step-by-step explanation:

Hope ot helps u mate

if there is any problem inbox me

Answer:

x^2(3x-2) cubic inches OR in^3

OR

3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 cubic inches OR in^3

I AM UNAWARE IF YOU ASKED THAT ONE SIDE IS (3X-2) OR ALL. I WILL ANSWER BOTH PARTS

-

NOTE: '^' MEANS TO THE POWER OF..

-

Volume = v, abc = 3 sides of cube (height, width, length)

Using the formula for volume in a cube,

\(v = abc\)

We can solve this.

If one side is (3x-2)in,

x^2(3x-2) cubic inches OR in^3

If all sides are (3x-2)in,

Use the formula,

\((a - b) ^{3} = {a}^{3} + 3ab(b - a) - {b}^{3} \)

We can solve this.

3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 cubic inches OR in^3

___

If you have any questions regarding formulas or anything, comment and I will get back to you asap.

___

Answer: p=−5

Step-by-step explanation:

Answer:

p-10/-2=0

p-5=0

p=5

solved

The length of segment AB, is calculated using the formulae velow

Information from the question

a figure of right triangle

The length of AB is worked using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

The length of AB is solved using sin, cos and tan as follows

Sin = opposite / hypotenuse - SOH

sin C = AB / 10

AB = 10 Sin C

Cos = adjacent / hypotenuse - CAH

cos A = AB / 10

AB = 10 cos A

Tan = opposite / adjacent - TOA

tan C = AB / 8

AB = 8 tan C

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After calling EMS personnel, it is important to ensure the child's safety and comfort while waiting for help to arrive. Stabilize the injured arm in a comfortable position using a makeshift splint or sling, and offer reassurance to the child.

Once EMS personnel have been called, the immediate priority is to ensure the child's safety and provide comfort while waiting for professional medical assistance. Start by carefully assessing the situation and determining if there are any immediate dangers in the vicinity, such as moving traffic or other potential hazards. If necessary, gently move the child to a safer location, keeping in mind the importance of minimizing movement and preventing further injury.

Next, attend to the injured elbow. If the child is unable to move the arm and complains of pain, it is important to immobilize it to prevent further damage. Look for any obvious signs of deformity, swelling, or discoloration around the elbow area. Using materials available, such as a folded towel, a piece of clothing, or a scarf, create a makeshift splint or sling to stabilize the injured arm in a position that feels comfortable to the child. This will help support the elbow and prevent any unnecessary movement while waiting for professional medical assistance to arrive.

While providing care, it is crucial to offer reassurance and comfort to the child. Stay calm and speak in a soothing tone, explaining that help is on the way and that everything will be okay. Encourage the child to keep still and avoid using the injured arm until medical professionals can assess and provide appropriate treatment. Monitor the child's condition closely, paying attention to any changes in symptoms or signs of distress. Remember, the primary goal is to maintain the child's safety and minimize further harm until professional medical help arrives.

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Answer:

15

Step-by-step explanation:

adding 15 black beads gives you 16 black beads and 4 white beads

16/4 =4/1 or 4:1

Answer: 27/4 or 6 3/4

Step-by-step explanation:

Answer:

AAS Congruence Theorem

Step-by-step explanation:

The two triangles share the same vertex T. Therefore, both ∆s has the same measure of <T.

From the information made available in the diagram above, it shows that the non-included side of 170, and two given angles, <T and <S in ∆RST are congruent to the non-included side of 170, and two given angles, <T and <U in ∆VUT. Therefore, ∆RST and ∆VUT are both congruent to each other based on the AAS Congruence Theorem.

This invariably implies that the length of RT is congruent to the length of VT.

The equivalent value of the function f(x) = –2x^2 – 3x + 5 if x = -3 is -4

We are to evaluate the function f(x) = –2x2 – 3x + 5 for the input value –3.

Given the function:

For x = -3, we will have to substitute x = -3 into the expression to have:

f(-3) = –2(-3)^2 – 3(-3) + 5

f(-3) = -2(9) + 9 + 5

f(-3) = -18 + 14

f(-3) = -4

Hence the equivalent value of the function f(x) = –2x^2 – 3x + 5 if x = -3 is -4

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