PLZZZZZZZZZ COME HELP ME

PLZZZZZZZZZ COME HELP ME

Answers

Answer 1

Answer:

-2/3

Step-by-step explanation:

using rise over run from point B you go up 2 points and then to point A left 3 and since the line is going down the slope will be negative so -2/3


Related Questions

Molly made 3,600 mL3{,}600 \text{ mL}3,600 mL3, comma, 600, start text, space, m, L, end text of tea for a party, and she served the tea divided equally in 12121212 cups. How many liters of tea did Molly put in each cup?

Answers

Answer:

0.3 liters

Step-by-step explanation:

Molly made 3600mL of tea for a party.

The tea was served equally in 12 cups.

We are to determine how many liters of tea Molly put in each cup.

Total Volume of Tea = 3600mL

Number of Cups=12

Volume Per Each Cup = 3600/12 = 300mL

Next, we convert our Volume Per Each Cup from mL to Liters

1000 Milliliter = 1 Liter  

300 Milliliter =[tex]\frac{300}{1000}[/tex] liters =0.3 liters

Molly put 0.3 liters of tea in each cup.

A parallelogram with an area of 211.41m^2 has a base that measures 24.3m find its height

Answers

Step-by-step explanation:

[tex]height \: of \: {\parallel}^{gm} \\ \\ = \frac{area \: of \: {\parallel}^{gm} }{base} \\ \\ = \frac{211.41}{24.3} \\ \\ = 8.7 \: m[/tex]

plz dont skip me help me

In which quadrant would point (12, 18) be located?


Quadrant IV


Quadrant II


Quadrant I


Quadrant III

Answers

Quadrant I is the answer. Both are positive coordinates

Answer:

it's Quadrant 1 because both of he cordnates

Step-by-step explanation:

HELPPPPPPP HELP HELP HELP HELP

Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-5, -2) and point (8, -3) rounded to the nearest tenth?


10.3 units


12.6 units


1 unit


13 units

Answers

Answer:

13 units

Step-by-step explanation:

Im doin this in class to so i got you

the equation would be d=(8-(-5))2-(-3-(-2))2

Next solve in the parenthesis 13 power of 2 +-1 power of 2

Then do the powers 169+1

d=170

Then you square 170 which is 13.03840481

That simplifies to 13

yayyyy

Let f(x)=15/(1+4e^(-0.2x) )

What is the point of maximum growth rate for the logistic function f(x)? Show all work.

Round your answer to the nearest hundredth

Answers

Answer:

6.93

Step-by-step explanation:

f(x) = 15 / (1 + 4e^(-0.2x))

f(x) = 15 (1 + 4e^(-0.2x))^-1

Taking first derivative:

f'(x) = -15 (1 + 4e^(-0.2x))^-2 (-0.8e^(-0.2x))

f'(x) = 12 (1 + 4e^(-0.2x))^-2 e^(-0.2x)

f'(x) = 12 (1 + 4e^(-0.2x))^-2 (e^(0.1x))^-2

f'(x) = 12 (e^(0.1x) + 4e^(-0.1x))^-2

Taking second derivative:

f"(x) = -24 (e^(0.1x) + 4e^(-0.1x))^-3 (0.1e^(0.1x) − 0.4e^(-0.1x))

Set to 0 and solve:

0 = -24 (e^(0.1x) + 4e^(-0.1x))^-3 (0.1e^(0.1x) − 0.4e^(-0.1x))

0 = 0.1e^(0.1x) − 0.4e^(-0.1x)

0.1e^(0.1x) = 0.4e^(-0.1x)

e^(0.1x) = 4e^(-0.1x)

e^(0.2x) = 4

0.2x = ln 4

x = 5 ln 4

x ≈ 6.93

Graph: desmos.com/calculator/zwf4afzmav

The point of maximum growth rate for the logistic function f(x) is at (7.5, 7.926).

What is exponential function?Exponential function → An exponential equation is given by - y = eˣ.Graph → The graph of  y = eˣ is upward-sloping, and increases faster as {x} increases

Given is the function f(x) as follows -

f(x) = 15/(1+4[tex]$e^{-0.2x}[/tex] )

The given logistic function is -

f(x) = 15/(1+4[tex]$e^{-0.2x}[/tex] )

The inflection point represents the time of most rapid growth. After the inflection point, the growth rate declines, reaches the limiting value. The inflection point occurs at half of the carrying capacity. This is the level of maximum growth.The equation for a logistic model is N = {K/1 + b[tex]$e^{-rt}[/tex]}. The constant {K} is the carrying capacity. It is the limiting value of N. The inflection point occurs at N = K/2.

So, we can say that at {x} = N = 15/2 = 7.5, the point of maximum growth exists. At {x} = 7.5, the value of {y} = 7.926. Refer to the graph of the function attached.

Therefore, the point of maximum growth rate for the logistic function f(x) is at (7.5, 7.926).

To solve more questions on exponential equations, visit the link below -

brainly.com/question/29506679

#SPJ3

There are twice as many flute players as there are trumpet players. If there are n flute players write an expression to find how many trumpet players there are.

Answers

Answer:

there are n flute players so that means that you have a n amount of flute players.

Step-by-step explanation:

You would need n flute players to play ou would have n trumpet players

A company is going to make an oil container in the shape of a cylinder. As shown below, the container will have a height of 8m and a diameter of 12m. The container will be made from steel (including its top and bottom). Suppose the total cost of the steel will be $17,408.16. How much will the steel cost per square meter? Use 3.14 for π, and do not round your answer.

Answers

For the cylinder whose surface area is  527.52 square meter, the total steel cost per square meter is $33.

The following information given in the question:

Height of the cylinder = 8 m

Diameter of the cylinder = 12 m

And the total cost of the steel = $17,408.16

We have to find the steel cost per square meter.

We know the radius is half of the diameter.

So, the radius (r) of the cylinder = 12/2 = 6 m

[tex]\text{Cost per square meter} = \dfrac{\text{total cost}}{\text{total surface area}}[/tex]

Surface area of the cylinder is calculated by the following formula:

Total surface area= 2πr(r+h)

=2×(3.14)×6(6+8)

=527.52 square meter

That means the steel cost for the 527.52 square meter is $17,408.16 (given in the question)

So, Cost per square meter = [tex]\dfrac{17,408.16}{527.52 }[/tex]

The steel cost of per square meter = $33

Hence, the steel cost of per square meter will be $33.

Learn more about surface area of the cylinder here:

https://brainly.com/question/28575608

#SPJ12

A box contains three coins: two regular and one fake one-sided coin (P(H) = 1) You pick a coin at random and toss it. What is the probability that it lands tails up? You pick a random coin and after tossing get H. What is the probability that the coin is not fake?

Answers

Answer:

0.50

Step-by-step explanation:

Given that a box contains three coins: two regular and one fake one-sided coin (P(H) = 1) You pick a coin at random and toss it.

Probability of selecting any one coin = 1/3

The coins are regular 1,  regular 2 ,         fake

P for head             0.5         0.5                  1

Probability for head = [tex]\frac{1}{3} (1+0.5+0.5) = 0.6667[/tex]

using total probability theorem for mutually exclusive and exhaustive)

Probability that coin is not fake/head = [tex]\frac{0.5+0.5}{1+0.5+0.5} \\= 0.5[/tex]

TRUE OR FALSE. if the slopes of two lines are negative reciprocals, the lines are perpendicular

Answers

Answer:

TRUE

Step-by-step explanation:

The vertex of this parabola is at (2, -4). Which of the following could be its equation?

A.y = 2(x - 2)2 + 4

B.x = 2(y + 4)2 + 2

C.x = 2(y - 4)2 + 2

D.y = 2(x - 2)2 - 4

Answers

Answer:

The answer to your question is letter B

Step-by-step explanation:

Data

Vertex = (2, -4)

Process

From the image we know that it is a horizontal parabola that opens to the right so the equation must be

                         (y - k)² = 4p(x - h)

Let 4p be 1

- Substitution

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

- Solve for  x

                        (y + 4)² = x - 2

- Result

                        x = (y + 4)² + 2            

The answer is letter B, because of the signs.              

help help help help
Which of the following is 2x(x-7)(x+3)/6x³(x+3)(x-5) simplified?


Cannot be simplified


(x-7)/3x(x-5)


2x(x-7)/6x³(x-5)


(x-7)/3x²(x-5)

Answers

Yes it can be, it will be a fraction

Answer:

[image]

Step-by-step explanation:

follow the steps provided in the picture

Point M is the midpoint of AC , find the coordinates of the missing endpoint when you are given one endpoint, and the coordinates of the midpoint. M(0, 5.5) and C(-3, 6).

Answers

The coordinates of the point A  is (3,5).

Step-by-step explanation:

Here, given the line segment is AC.

Let us assume the coordinates of the point A = (p,q)

The point M (0,5.5) is the mid point of line segment AC.

By Mid-Point Formula:

The coordinates of the mid  point M of segment AC is given as:

[tex](0,5.5) = (\frac{p + (-3)}{2} ,\frac{q+ (6)}{2})\\\implies \frac{p + (-3)}{2} = 0 , \frac{q+ (6)}{2} = 5.5\\\implies p = 0 + 3 = 3, q = 5.5 (2) - 6 = 11-6 = 5\\\implies p = 3, q = 5[/tex]

So, the coordinates of the point A  is (3,5)

Bonita Industries sells radios for $50 per unit. The fixed costs are $645000 and the variable costs are 60% of the selling price. As a result of new automated equipment, it is anticipated that fixed costs will increase by $215000 and variable costs will be 50% of the selling price. The new break-even point in units is:

Answers

Answer:

The new break even point in units = 34400 units

Step-by-step explanation:

Fixed cost ( F ) = $ 645000

Selling price ( s )= $ 50

Variable Cost ( v ) = [tex]\frac{60}{100}[/tex] × 50 = 30

Break Even Quantity ( [tex]x_{BEP}[/tex] ) = [tex]\frac{F}{s - v}[/tex]

⇒ [tex]x_{BEP}[/tex] = [tex]\frac{645000}{50 - 30}[/tex]

⇒ [tex]x_{BEP}[/tex] = [tex]\frac{645000}{20}[/tex]

[tex]x_{BEP}[/tex] = 32250 units

Now the new fixed cost ( [tex]F_{1}[/tex] ) = $ 645000 + $ 215000 = $ 860000

Selling price ( s )= $ 50

Variable Cost ( v ) = [tex]\frac{50}{100}[/tex] × 50 = $ 25

Break Even Quantity ( [tex]x_{BEP}[/tex] ) = [tex]\frac{F_{1} }{s - v}[/tex]

⇒ [tex]x_{BEP}[/tex] = [tex]\frac{860000}{50 - 25}[/tex]

[tex]x_{BEP}[/tex] = 34400 units

Therefore, The new break even point in units = 34400 units

Point w is located at -2 and 3 on a coordinate plane point w is reflected over the x axis to create point w point w is then reflected over the y axis to create point w what ordered pair describes the location of point w

Answers

Answer:

w(2,-3)

Step-by-step explanation:

the initial coordinates of point w are  w(-2,3), to differentiate the different coordinates of w we will place sub-indexes (according to the graph)

the point w is reflected over the x axis to create point w₁(-2,-3) point w is then reflected over the y axis to create point w₂(2,-3)

the area of a triangular flower bed in the park has an area of 120 square feet. The base is 4 feet longer than twice the height. What are the base and the height of the triangle

Answers

Answer: height = 10 feet

Base = 24 feet

Step-by-step explanation:

Let h represent the height of the triangular flower bed.

Let b represent the base of the triangular flower bed

The formula for determining the area of a triangle is expressed as

Area = 1/2 × base × height

The area of a triangular flower bed in the park has an area of 120 square feet. This means that

1/2 × bh = 120

bh = 120 × 2

bh = 240- - - - - - - - - - - - - - - 1

The base is 4 feet longer than twice the height. This means that

b = 2h + 4

Substituting b = 2h + 4 into equation 1, it becomes

h(2h + 4) = 240

2h² + 4h = 240

2h² + 4h - 240 = 0

Dividing through by 2, it becomes

h² + 2h - 120 = 0

h² + 12h - 10h - 120 = 0

h(h + 12) - 10(h + 12) = 0

h - 10 = 0 or h + 12 = 0

h = 10 or h = - 12

Since the height cannot be negative, then h = 10

Substituting h = 10 into equation 1, it becomes

10b = 240

b = 240/10

y = 24

The answers are : (a) The height [tex]\( h \)[/tex] of the triangular flower bed is [tex]10\ feet[/tex]. (b) The base [tex]\( b \)[/tex] of the triangular flower bed is [tex]24 \ feet[/tex]

Let's denote the height of the triangular flower bed as [tex]\( h \)[/tex] feet.

According to the problem, the base of the triangle is [tex]4\ feet[/tex] longer than twice the height. Therefore, the base [tex]\( b \)[/tex] can be expressed as:

[tex]\[ b = 2h + 4 \][/tex]

The formula for the area [tex]\( A \)[/tex] of a triangle is given by

[tex]\[ A = \frac{1}{2} \times \text{base} \times \text{height} \][/tex]

Given that the area [tex]\( A \)[/tex] of the triangular flower bed is [tex]120\ square\ feet[/tex], we can write the equation:

[tex]\[ \frac{1}{2} \times b \times h = 120 \][/tex]

Substituting [tex]\( b = 2h + 4 \)[/tex] into the area equation:

[tex]\[ \frac{1}{2} \times (2h + 4) \times h = 120 \][/tex]

Now, solve for [tex]\( h \)[/tex]

[tex]\[ (2h + 4) \times h = 240 \][/tex]

[tex]\[ 2h^2 + 4h = 240 \][/tex]

[tex]\[ 2h^2 + 4h - 240 = 0 \][/tex]

Divide the entire equation by [tex]2[/tex] to simplify:

[tex]\[ h^2 + 2h - 120 = 0 \][/tex]

Now, solve this quadratic equation using the quadratic formula, [tex]h = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \), where \( a = 1 \), \( b = 2 \), and \( c = -120 \)[/tex]

[tex]\[ h = \frac{-2 \pm \sqrt{(2)^2 - 4 \times 1 \times (-120)}}{2 \times 1} \][/tex]

[tex]\[ h = \frac{-2 \pm \sqrt{4 + 480}}{2} \][/tex]

[tex]\[ h = \frac{-2 \pm \sqrt{484}}{2} \][/tex]

[tex]\[ h = \frac{-2 \pm 22}{2} \][/tex]

The solutions for [tex]\( h \)[/tex] are:

[tex]\[ h = \frac{20}{2} = 10 \][/tex]

[tex]\[ h = \frac{-24}{2} = -12 \][/tex]

So, the height [tex]\( h \)[/tex] of the triangular flower bed is [tex]10\ feet.[/tex]

Now, calculate the base [tex]\( b \)[/tex]

[tex]\[ b = 2h + 4 \][/tex]

[tex]\[ b = 2 \times 10 + 4 \][/tex]

[tex]\[ b = 20 + 4 \][/tex]

[tex]\[ b = 24 \][/tex]

The complete Question is

The area of a triangular flower bed in the park has an area of 120 square feet. The base is 4 feet longer than twice the height.

a. What is the base of the triangle ?

b. What is the height of the triangle ?

In the library at lenape elmentary school, there are 3/8 as, many fiction books as there are nonfiction books. There are 44 books in school library. How many booka are fiction books

Answers

Answer:

12 fiction books.

Step-by-step explanation:

Let b represent number of non-fiction books.

We have been given that in the library at Lenape elementary school, there are 3/8 as many fiction books as there are nonfiction books. So number of fiction books would be [tex]\frac{3}{8}x[/tex].

We are also told that there are 44 books in school library. We can represent this information in an equation as:

[tex]x+\frac{3}{8}x=44[/tex]

Let us solve for x.

[tex]\frac{8x}{8}+\frac{3}{8}x=44[/tex]

[tex]\frac{8x+3x}{8}=44[/tex]

[tex]\frac{11x}{8}=44[/tex]

[tex]\frac{11x}{8}\cdot \frac{8}{11}=44\cdot\frac{8}{11}[/tex]

[tex]x=4\cdot 8[/tex]

[tex]x=32[/tex]

Therefore, there are 32 non fiction books in the library.

Number of fiction books would be [tex]\frac{3}{8}x\Rightarrow \frac{3}{8}*32=3*4=12[/tex]

Therefore, there are 12 fiction books in the library.

2)
What are the relative minimum and relative maximum values over the interval -3,3] for
the function shown in the graph? (4 points)
Minimum:
Maximum:​

Answers

Answer:

minimum: -9maximum: -6

Step-by-step explanation:

For a point to be a relative extreme, there must be points on both sides that are not as extreme. That is, the ends of the interval may be extreme values, but do not qualify as relative extrema, since there are not points on both sides.

In the interval [-3, 3], the relative extrema are the turning points.

The relative minimum is at y = -9 on the y-axis.

The relative maxima are at y = -6, between 1 and 2 on either side of the y-axis.

Answer:

minimum: -9

maximum: -6

Step-by-step explanation:

A plane can fly 520 miles in the same time as it takes a car to go 200 miles. If the car travels 80 mph slower than the plane, find the speed of the plane.

Answers

Answer: the speed of the plane is 130 mph

Step-by-step explanation:

Let x represent the speed of the plane. If the car travels 80 mph slower than the plane, then the speed of the car would be (x - 80) mph.

Time = Distance/speed

plane can fly 520 miles in the same time as it takes a car to go 200 miles. This means that the time it takes the plane to fly 520 miles is

520/x

Also, the time it takes the car to drive 200 miles is

200/(x - 80)

Since the time is the same, it means that

520/x = 200/(x - 80)

Cross multiplying, it becomes

520(x - 80) = 200 × x

520x - 41600 = 200x

520x - 200x = 41600

320x = 41600

x = 41600/320

x = 130 mph

The probability that a randomly selected car will be in an accident in the next year in a particular country is 0.0467. If four cars are randomly selected, find the probability that at least one has an accident during the coming year. Round to 4 decimals.

Answers

Final answer:

To find the probability that at least one of four cars has an accident, calculate the probability that no cars have accidents and subtract from 1. The probability is approximately 0.1785 after rounding to four decimal places.

Explanation:

The probability that at least one of four randomly selected cars will be in an accident in the next year can be found by using the complement rule. The complement of at least one car being in an accident is that no cars are in an accident. We can calculate the probability of no accidents occurring and then subtract from 1 to find the desired probability.

First, we calculate the probability of a single car not being in an accident. This is 1 - 0.0467 = 0.9533. We then raise this probability to the power of four to represent all four independent events (four car selections): (0.9533)4.

Probability of no accidents = 0.95334 ≈ 0.8215 (rounded to four decimals).

Now, we subtract this from 1 to find the probability that at least one car has an accident in the coming year.

Probability at least one accident = 1 - Probability of no accidents = 1 - 0.8215 = 0.1785 (rounded to four decimals).

The DeMarco hotel has 500 rooms available for sale. For Monday night the hotel’s occupancy is 60%. What is the number of rooms the hotel has available to sell for Monday night? 100 200 250 300

Answers

Answer:

200 rooms are available to sell.

Step-by-step explanation:

Given,

Total number of rooms for Monday night = 500,

Occupancy percentage for Monday night = 60%,

Thus, the remaining rooms available for Monday Night

= (100-60)% of total rooms

= 40% of 500

[tex]=\frac{40\times 500}{100}[/tex]

[tex]=\frac{20000}{100}[/tex]

= 200

Therefore, there are 200 rooms available to sell for Monday night.

Can someone please explain this problem to me idk what I am doing wrong and can you draw the problem for me thanks

Answers

Answer:

  you're not doing anything wrong

Step-by-step explanation:

In order for cos⁻¹ to be a function, its range must be restricted to [0, π]. The cosine value that is its argument is cos(-4π/3) = -1/2. You have properly identified cos⁻¹(-1/2) to be 2π/3.

__

Cos and cos⁻¹ are conceptually inverse functions. Hence, conceptually, cos⁻¹(cos(x)) = x, regardless of the value of x. The expected answer here may be -4π/3.

As we discussed above, that would be incorrect. Cos⁻¹ cannot produce output values in the range [-π, -2π] unless it is specifically defined to do so. That would be an unusual definition of cos⁻¹. Nothing in the problem statement suggests anything other than the usual definition of cos⁻¹ applies.

__

This is a good one to discuss with your teacher.

Dont skip plz i need yall help

Answers

Answer: B) 1 and -3

Step-by-step explanation:

On a Quadrant Plane:

Q1: (+,+)

Q2: (-,+)

Q3: (-,-)

Q4: (+,-)

Answer:

B

Step-by-step explanation:

because the 4th quadrant is positive and negative which option B is the only one that has that option in the same order . HOPE THIS HELPED!

A certain computer loses half of its value every two years. If the value of the computer after 3 years is 425, what was the initial value of the computer

Answers

To solve this problem, we can use the concept of exponential decay, where the value of the computer decreases by half every two years. Let's denote the initial value of the computer as [tex]\( V_0 \)[/tex]. After the first two years, its value will be [tex]\( \frac{1}{2}V_0 \)[/tex], after another two years (total of 4 years), its value will be [tex]\( \frac{1}{4}V_0 \)[/tex], and after three years, its value will be [tex]\( \frac{1}{8}V_0 \).[/tex]

Given that after three years its value is $425, we can set up the equation:

[tex]\[ \frac{1}{8}V_0 = 425 \][/tex]

Now, let's solve for [tex]\( V_0 \):\[ V_0 = 425 \times 8 \]\[ V_0 = 3400 \][/tex]

So, the initial value of the computer was $3400.

A line segment that has both endpoints on the circumference

Answers

Answer:

A chord

Step-by-step explanation:

By the definition of a chord, it is a line segment whose endpoints lie on the circle, (and in this case circle is meant by the set of points equidistant from a center point, or as an algebraic term: circumference)

Please assist me with these story problems.​

Answers

Answer:

  4. 16

  5. $88

  6. $687.50

Step-by-step explanation:

4. Let n represent the number.

An expression representing the number multiplied by 0.9 and 6.3 subtracted from the product is ...

  0.9n -6.3

We want that result to be 4.5, so we have the equation ...

  0.9n -6.3 = 4.5

Since all of the coefficients are divisible by 0.9, we can divide by 0.9 to get ...

  n -7 = 9

Adding 7 gives ...

  n = 16

The number is 16.

_____

5. For a problem like this, I like to work it backward. If Craig got an extra $18, then everyone's share was $32 -18 = $14. That was the share from a 5-way split, so the amount the friends split evenly was 5×$14 = $70. The total they started with must have been $70 +18 = $88.

The amount they split unevenly was $88. The amount they split evenly, after setting aside $18 for Craig's parents, was $70.

__

It is a bit tricky to write one equation for the amount the friends started with before they did any splits. Call that amount A. Then after setting aside $18, they split (A-18) five ways. Each of those splits was then (A-18)/5. When the $18 was added to one of those, the result was the $32 that Craig got. So, we have ...

  (A -18)/5 +18 = 32

and the solution process is similar to the "working backward" description above: subtract 18, multiply by 5, add back 18.

  (A -18)/5 = 14

  A -18 = 70

  A = 88 . . . . . . . . the amount the friends split unevenly

_____

6. Let P represent the original price of the laptop. We're told the price after all of the discounts was 500, so we have ...

  P -50 -(0.20P) = 500

  0.80P = 550 . . . . . add 50, collect terms

  P = 687.50 . . . . . . . divide by the coefficient of P

The original price was $687.50.

Write an equation in​ slope-intercept form of the line satisfying the given conditions. The line passes through ​(minus1​,3​) and is parallel to the line whose equation is y equals 2 x plus 1.

Answers

Answer:

y = 2x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 1 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, thus

y = 2x + ← is the partial equation of the parallel line

To find c substitute (- 1, 3) into the partial equation

3 = - 2 + c ⇒ c = 3 + 2 = 5

y = 2x + 5 ← equation of parallel line

HL Theorem

ASA Postulate

SSS Postulate

SAS Postulate

Answers

Answer:

HL theorem.

Step-by-step explanation:

This states that if the hypotenuse (H) and  one leg (L) of one  right triangle are congruent to the hypotenuse and leg of another right triangle, then the triangles are congruent.

Answer:

ASA Postulate

Step-by-step explanation:

[tex] In \:\triangle QTS \:\&\:\triangle SRQ\\\\

QT || SR\\\\

\angle QTS \cong \angle SRQ... (each\: 90°)\\\\

TS \cong QR.... (given) \\\\

\angle QST \cong \angle SQR.. (alternate\:\angle s) \\\\

\therefore \triangle QTS \cong \triangle SRQ\\.. (By \: ASA \: Postulate) [/tex]

RHS Postulate can also be applied to prove both the triangles as congruent.

Technician A says that a MAF sensor is a​ high-authority sensor and is responsible for determining the fuel needs of the engine based on the measured amount of air entering the engine. Technician B says that a cold wire MAF sensor uses the electronics in the sensor itself to heat a wire 20 degrees below the temperature of the air entering the engine. Who is​ right

Answers

Answer: Both Technicians are correct

Step-by-step explanation: Technician A talked about the functions of a MAF sensor which is to determine the fuel need of the engine based on the of air entering the engine.

Technician B talked about types of MAF sensor employed in vehicles and how they function

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Which of the following are ordered pairs for the equation y = -1/3x - 6?


(0,-6) (3,-7) (-3,5)


(0,-6) (3,-7) (-3,-5)


(0,-6) (3,7) (-3,-5)


(0,6) (3,7) (-3,-5)

Answers

Answer:

2nd option (B)

Step-by-step explanation:

(0,-6) works

(3,-7) works

(-3,-5) works

This means the answer is B

George is 3 time as old as chun. Chun is 1/2 as old as elizabeth. Waneta is 4/7 as old as elizabeth. Waneta is 8 years old. How many years old is george

Answers

Answer:

21 years old.

Step-by-step explanation:

Given:

Waneta is 8 years old

Waneta is 4/7 as old as Elizabeth.

Chun is 1/2 as old as Elizabeth.

George is 3 time as old as Chun.

Question asked:

How many years old is George ?

Solution:

Let age of Elizabeth = [tex]x[/tex] years

Waneta is 4/7 as old as Elizabeth. ( given )

Age of Waneta = [tex]\frac{4}{7} \ of \ Elizabeth[/tex]

[tex]8=\frac{4}{7} \times x\\\\8=\frac{4}{7}x[/tex]

By cross multiplication:

[tex]4x=56[/tex]

By dividing both sides by 4

[tex]x=14\\[/tex]

Age of Elizabeth = [tex]x[/tex] = 14 years

Chun is 1/2 as old as Elizabeth. ( given )

Age of Chun = [tex]\frac{1}{2} \ of \ Elizabeth\\[/tex]

                     = [tex]\frac{1}{2} \times14= 7\ years[/tex]

George is 3 time as old as Chun.  ( given )

Age of George = [tex]3\ times \ of \ Chun\\[/tex]

                         [tex]=3\times7=21\ years[/tex]

Therefore, George is 21 years old.

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