PLEASE HELP ASAP!!! (answer in decimal)

PLEASE HELP ASAP!!! (answer In Decimal)

Answers

Answer 1

Answer:

re send it

Step-by-step explanation:

ty


Related Questions

Match each equation to its graph.

1. y= x-2
2. y= -2x
3. x= -2
4. y= -2

Answers

1 equation goes with the graph one, 2nd equation goes with 4th graph , 3rd equation goes with 3rd graph, and 4th equation goes with graph graph 2.

If the equation is...

y=c, where c is a constant, the line is horizontal across that c value, on y axis. x=c the line would be vertical across that c, on x axis.

The equation of the graph is : x = -2

What is a graph?

A graph is a pictorial representation of the locus of a certain point.

How to draw a graph?

A graph can be drawn by picking some fixed points from the locus of the point.

Here, the straight line passes through the points are : (-2,1); (-2,2); (-2,-5);(-2,-5).

Hence, the straight line is to be parallel to the x-axis and the equation of the graph is x= -2.

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: Find the value of the trigonometric ratio. Make sure to simplify the If needed

Answers

Answer:

24/7

Step-by-step explanation:

tan A = opp/adj

For angle Z, the adjacent leg is 14, and the opposite leg is 48.

tan Z = 48/14

tan Z = 24/7

the cost of 2 pairs of trousers and 3 shirts is $825 it shirt cost $50 less than the trouser. find the cost of each shirt and trouser

Answers

Answer:

a pair of trousers cost = x = 195 $

one shirt costs = x - 50 = 145 $

Step-by-step explanation:

let the cost of trouser be x.cost of shirt = (x - 50)

2 pairs of trousers cost = 2x 3 shirts cost = 3(x - 50)

= 3x- 150

2 trousers and 3 shirts cost = 825

=> 2x + 3x - 150 = 825

=> 5x = 975

x = 195

a pair of trousers cost = x = 195 $

a pair of trousers cost = x = 195 $ one shirt costs = x - 50 = 145 $

Multiply the monomials:
-11x^2y and 0.3x^2y^3

Answers

Answer:

-3.3x^4y^4

Step-by-step explanation:

-11x^2y and 0.3x^2y^3

-11x^2y * 0.3x^2y^3

Multiply the constants

-11 * .3 = -3.3

Multiply the x terms

We know that a^b*a^c = a^(b+c)

x^2 * x^2 = x^(2+2) = x^2

Multiply the y terms

y * y^3 = y^(1+3) = y^4

Put them all together

-3.3x^4y^4

You have a dog-walking business. You charge $12 per hour. Let's define n as the amount you earn and h as the number of
hours you work. You want to make $30, so you figure you need to work 2.5 hours.
Sort the solution methods by whether they are correct or incorrect methods to solve the problem.

Answers

Answer:

[tex]n = 12h[/tex]

Step-by-step explanation:

Given

[tex]r = 12/hr[/tex] --- rate

[tex]h \to hours[/tex]

[tex]n \to amount[/tex]

Required

Determine which solution is correct or incorrect

The solutions are not given. So, I will provide a general explanation

The amount (n) is calculated as:

[tex]n = r * h[/tex]

So, we have:

[tex]n = 12 * h[/tex]

[tex]n = 12h[/tex]

The above is the general equation to solve for the amount, given h hours

When h = 2.5, we have:

[tex]n = 12*2.5[/tex]

[tex]n = 30[/tex]

Answer:

going to add a picture

Step-by-step explanation:

:)

Of the delegates at a convention, 60% attended the breakfast forum, 70% attended the dinner speech and 40% attended both events. If a randomly selected delegate is known to have attended the dinner speech, the probability that he also attended the breakfast forum is

Answers

Answer:

The probability that he also attended the breakfast forum is is 0.5714 = 57.14%.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Attended the dinner speech.

Event B: Attended the breakfast forum.

70% attended the dinner speech

This means that [tex]P(A) = 0.7[/tex]

40% attended both events.

This means that [tex]P(A \cap B) = 0.4[/tex]

The probability that he also attended the breakfast forum is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.7} = 0.5714[/tex]

The probability that he also attended the breakfast forum is is 0.5714 = 57.14%.

The terminal side of θ passes through the point (8,−7).

What is the exact value of cosθ in simplified form?

Answers

Answer:

8√113 / 113

Step-by-step explanation:

Representing the information on a triangle :

From trigonometry :

Cos θ = Adjacent / hypotenus = AC / AB

AB = hypotenus :

Using Pythagoras :

AB² = AC² + BC²

AB² = 8² + (-7)²

AB² = 64 + 49

AB = √113

Cos θ = AC / AB = 8 / √113

RATIONALIZE :

8/√113 * √113/√113 = 8√113 / 113

Avery made 6 litres of hot chocolate for the 4th annual bonfire with his family. If
each cup holds of a litre of liquid, how many cups can Avery fill?

Answers

Answer:

Avery can hold 6 cups

Step-by-step explanation:

so you have a 6 litre of hot chocolate and for every cup you remove 1 litre of hot chocolate wich makes you get 6 cups of hot chocolate

How far will fiona jog (in feet)

Answers

Answer:

1780 ft

Step-by-step explanation:

We need to find the perimeter of the rectangle, given by

P= 2(l+w)  where l is the length and w is the width

The units need to be the same

Change 230 yds to ft

230 yd * 3 ft/ y = 690 ft

P = 2(690+200)

P = 2(890)

P =1780

the vertex of this parabola is at (2,-4). when the y-value us -3, the x-value is -3. what is the coefficient of the squared term in the parabolas equation?​

Answers

Answer:

The coefficient of the squared term is 1/25.

Step-by-step explanation:

We are given that the vertex of a parabola is at (2, -4). We also know that y = -3 when x = -3.

And we want to determine the coefficient of the squared term of the equation.

Since we are given the vertex, we can use the vertex form of the quadratic:

[tex]\displaystyle y = a(x-h)^2+k[/tex]

Where (h, k) is the vertex and a is the leading coefficient. The leading coefficient is also the coefficient of the squared term, so we simply need to find the value of a.

Since the vertex is at (2, -4), h = 2 and k = -4. Substitute:

[tex]\displaystyle y = a(x-2)^2-4[/tex]

y = -3 when x = -3. Solve for a:

[tex]\displaystyle (-3) = a((-3)-2)^2-4[/tex]

Simplify:

[tex]\displaystyle 1 = a(-5)^2\Rightarrow a = \frac{1}{25}[/tex]

Therefore, our function in vertex form is:

[tex]\displaystyle f(x) = \frac{1}{25}\left(x-2)^2-4[/tex]

Hence, the coefficient of the squared term is 1/25.

Answer:

-5

Step-by-step explanation:

from a p e x

Classify the following triangle 120 degrees
options
a. acute
b.Scalene
c.isosceles
d.obtuse
e.right
f. equilateral

Answers

Answer:

I think it is Obtuse.

Step-by-step explanation:

120 Degrees - Obtuse

Question 14 please show ALL STEPS

Answers

Answer:  

List of possible integral roots = 1, -1, 2, -2, 3, -3, 6, -6

List of corresponding remainders = 0, -16, -4, 0, 0, 96, 600, 1764

Check out the table below for a more organized way to represent the answer. The x values are the possible roots while the P(x) values are the corresponding remainders.

====================================================

Explanation:

We'll use the rational root theorem. This says that the factors of the last term divide over the factors of the first coefficient to get the list of all possible rational roots.

We'll be dividing factors of 6 over factors of 1. We'll do the plus and minus version of each. Since we're dividing over +1 or -1, this means that we're basically just looking at the plus minus of the factors of 6.

Those factors are: 1, -1, 2, -2, 3, -3, 6, -6

This is the list of possible integral roots.

Basically we list 1,2,3,6 with the negative versions of each value thrown in as well.

---------------------------------

From there, you plug each value into the P(x) function

If we plugged in x = 1, then,

P(x) = x^4 - 3x^3 - 3x^2 + 11x - 6

P(1) = (1)^4 - 3(1)^3 - 3(1)^2 + 11(1) - 6

P(1) = 1 - 3 - 3 + 11 - 6

P(1) = 0

This shows that x = 1 is a root, since we get a remainder 0. Do the same for the other possible rational roots listed above. You should find (through trial and error) that x = -2 and x = 3 are the other two roots.

for every 5 people who bought $9.75 tickets to the football game, 3 people bought $14.50 tickets. If each of 35 people bought a $9.75 ticket, how many people bought the more expensive ticket?

Answers

9514 1404 393

Answer:

  21

Step-by-step explanation:

The number who bought expensive tickets is 3/5 of the number who bought cheap tickets.

  (3/5)(35) = 21

21 people bought the more expensive ticket.

Answer:

21 people

Step-by-step explanation:

       $9.75      $14.50

  5 people to 3 people

 35 people to ? people

consider the proportions: 5/3 = 35/?

we need the equivalent fraction of 5/3 that has 35 on the denominator

so 5/3 = (5/3)(7/7)  because 7/7 =1, and 5*3 =35

5/3 = 5*7/3*7 = 35/21

Plan production for the next year. The demand forecast is: spring, 20,600; summer, 9,400; fall, 15,400; winter, 18,400. At the beginning of spring, you have 69 workers and 1,030 units in inventory. The union contract specifies that you may lay off workers only once a year, at the beginning of summer. Also, you may hire new workers only at the end of summer to begin regular work in the fall. The number of workers laid off at the beginning of summer and the number hired at the end of summer should result in planned production levels for summer and fall that equal the demand forecasts for summer and fall, respectively. If demand exceeds supply, use overtime in spring only, which means that backorders could occur in winter. You are given these costs: hiring, $130 per new worker; layoff, $260 per worker laid off; holding, $21 per unit-quarter; backorder cost, $9 per unit; regular time labor, $11 per hour; overtime, $17 per hour. Productivity is 0.5 unit per worker hour, eight hours per day, 50 days per quarter.
Find the total cost of this plan. Note: Hiring expense occurs at beginning of Fall. (Leave no cells blank - be certain to enter "O" wherever required.) Fall 15,400 Winter 18,400 15,400 30,800 77 18,400 36,800 77 Spring Summer Forecast 20,600 9,400 Beginning inventory I 1,030 Production required 9,400 Production hours required 39,140 18,800 Regular workforce 69 47 Regular production Overtime hours Overtime production Total production Ending inventory Ending backorders Workers hired Workers laid off Spring Summer Fall Winter Straight time Overtime Inventory Backorder Hiring Layoff Total Total cost

Answers

why is this so long
Answer: end of summer

Write the equation of the line that passes through the points (1,-7)(1,−7) and (-6,-9)(−6,−9). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

6x+6)(6+4)

Step-by-st(ep explanation:

nbpbf wefqlbwpoi

Answer:

y+7=2/7x-2/7

Step-by-step explanation:

So we first want to find the slope. It's calculated by taking the difference in y values and dividing it by the difference in x values.

-9-(-7)/-6-1

=-9+7/-7

=-2/-7

=2/7.

This is the m in the point-slope equation.

Next, we just plug in the points. We only need 1 point so I will use the (1,-7)

y-y1=m(x-x1)

y-(-7)=2/7(x-1)

y-(-7)=2/7x-2/7

y+7=2/7x-2/7

I've never really seen fully reduced point-slope form, but I'm assuming the above is it because if I keep simplifying it's going to turn into slope-intercept form.

The total number of vertices adjacent to the vertex is called?

Answers

Answer:

The degree of vertex is the total number of vertices adjacent to the vertex .

The total number of vertices adjacent to the vertex is called degree of the vertex.

What is vertex?

" Vertex is defined as when two adjacent side meet at one point."

According to the question,

The degree of a vertex is always as the total number of adjacent side to the vertex.

If adjacent sides far away from each other degree is more.

If adjacent sides near to each other degree is less.  

Hence, the total number of vertices adjacent to the vertex is called degree of the vertex.

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You decide to move out of your college's dorms and get an apartment, and you want to discuss the budget with your roommate. You know that your monthly grocery bill will depend on a number of factors, such as whether you are too busy to cook, whether you invite guests for meals frequently, how many special holiday meals you will cook, etc. In particular, G will have an approximate normal distribution with a variance of 2500 and a mean:

μ=300+10M−100B+50H

Where M is the number of meals to which you invite guests, and E[M]=8. B is a measure for how busy you are and assume it is U[0,1]. H is a variable that takes on the value 1 for holiday months of November, December, and January and 0 otherwise.

a. What is the mean of G in a November, where M=10 and B=0.5?
b. What is E(G)?

Answers

answer:

a. 400

b. 342.5

Step-by-step explanation:

The mean in this question has been given as

μ=300+10M−100B+50H

where M = 10

B = 0.5

H = 1

we put these into the formula of the mean above

μ=300+10(10)−100(0.5)+50(1)

μ = 300 + 100 - 50 + 50

= 400

So the mean of G in november is = 400

b.  We are to find E[G] here

= E[ 300+10M−100B+50H]

m = 8

B = 0.5 or 1/2

h = 1/4

E[ 300+10x8−100x0.5+50*0.25]

= 300+80-50+12.5

= 342.5

the value for E[G] is therefore 342.5

thank you

Use calculus to find the absolute maximum and minimum values of the function. f(x) = 5x − 10 cos(x), −2 ≤ x ≤ 0 (a) Use a graph to find the absolute maximum and minimum values of the function to two decimal places.

Answers

Answer:

gkg8fyaueajrkvxogogzoggkdggkdyyskyyeykektkykyksskysysskkyky

Answer:

The absolute maximum is about -5.84 at x = -2.

And the absolute minimum is about -11.28 at x = -π/6.

Step-by-step explanation:

We want to find the absolute maximum and minimum values of the function:

[tex]\displaystyle f(x) = 5x-10\cos x\text{ for } -2\leq x\leq 0[/tex]

First, we should evaluate the endpoints of the interval:

[tex]\displaystyle f(-2) = 5(-2) - 10\cos (-2) \approx -5.8385[/tex]

And:

[tex]f(0) = 5(0) -10\cos (0) = -10[/tex]

Recall that extrema of a function occurs at its critical points. The critical points of a function are whenever its derivative is zero or undefined.

So, find the derivative of the function:

[tex]\displaystyle f'(x) = \frac{d}{dx}\left[ 5x - 10\cos x\right][/tex]

Differentiate:

[tex]\displaystyle f'(x) = 5 + 10\sin x[/tex]

Set the function equal to zero:

[tex]\displaystyle 0 = 5+10\sin x[/tex]

And solve for x:

[tex]\displaystyle \sin x = -\frac{1}{2}[/tex]

Using the unit circle, our solutions are:

[tex]\displaystyle x = \frac{7\pi}{6} + 2n\pi\text{ or } \frac{11\pi}{6} + 2n\pi \text{ where } n\in \mathbb{Z}[/tex]

There is only one solution in the interval [-2, 0]:

[tex]\displaystyle x = \frac{11\pi}{6} - 2\pi = -\frac{\pi}{6}\approx -0.5236[/tex]

Thus, we only have one critical point on the interval.

Substituting this back into the function yields:

[tex]\displaystyle\begin{aligned} f\left(-\frac{\pi}{6}\right) &= 5\left(-\frac{\pi}{6}\right) - 10\cos \left(-\frac{\pi}{6}\right) \\ \\ &=-\frac{5\pi}{6} - 5\sqrt{3}\\ \\ &\approx -11.2782 \end{aligned}[/tex]

In conclusion, the absolute maximum value of f on the interval [-2, 0] is about -5.8385 at x = -2 and the absolute minimum value of f is about -11.2782 at x = -π/6.

We can see this from the graph below as well.

how many itegers from 15 to 85, inclusive are multibles of 8

Answers

Answer:

9 multiples

Step-by-step explanation:

16,24,32,40,48,56,64,72,80

9

Karl wants to raise money for charity. He designs a game for people to play.
Karl uses a ten sided dice for the game. The dice is numbered 1 to 10.
Each person will roll the dice once. A person wins the game if the dice lands on a multiple of 4.
Ali plays the game once,
a) Work out the probability that Ali will win the game.
(2 m

Answers

Answer:

0.2 = 20% probability that Ali will win the game.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Total outcomes:

The 10 sides that the dice can land, which means that [tex]T = 10[/tex]

Desired outcomes:

Sides that are multiple of 4, that is, side 4 and side 8, so [tex]D = 2[/tex]

Work out the probability that Ali will win the game.

[tex]p = \frac{D}{T} = \frac{2}{10} = 0.2[/tex]

0.2 = 20% probability that Ali will win the game.

If Bob gains 15 pounds, then the ratio of Bob's weight to Tom's weight would be 7 to 5. If Tom weighs 115 pounds, what is Bobs weight now?

Answers

Answer:

Step-by-step explana:

-115/5= 23

-23x7=16 1

-161-15=146

Answer:

146 pounds.

Step-by-step explanation:

7 : 5 = 12

? : 115 = ?

115 / 5 = 23

23 x 7 = 161

161  - 15 = 146

The answer is 146.

Hi can someone answer this question please thank you

Answers

Answer:

25

Step-by-step explanation:

5:20  

We want to get the second number to 100

100/20 = 5

Multiply each term by 5

5*5 : 20*5

25 : 100

x is 25

Given that,

→ 5 : 20 :: x : 100

Then we have to,

find the second number to 100.

→ 100/20

→ 5

Now multiply each term by 5 in 5:20,

→ 5 × 5 : 20 × 5

→ 25 : 100

→ x = 25

Now these ratio will be,

→ 5 : 20 :: 25 : 100

Hence, the value of x is 25.

3.3.C-1
If one tablet of calcium pantothenate contains 0.5 gram, how much is contained in
n 2 1/4 tablets? How many tablets are needed to make up 2.3 grams?

Answers

Reduce the fraction into decimal numbers
Simply divide the top by the bottom of the fraction. If the division has no remainder, the decimal number is called a terminating decimal.
Now start the division process as below


Therefore,

A fraction calcium pantothenate contains 0.5 gram of a tablet 5 tablets to make up 2.3 grams.

To calculate the amount of calcium pantothenate contained in a given number of tablets, use the given information that one tablet contains 0.5 grams.

Amount in n 2 1/4 tablets:

To calculate the amount of calcium pantothenate in n 2 1/4 tablets, we need to calculate the total amount for each part (whole tablets and the fraction of a tablet) and then sum them up.

Amount in n whole tablets: n tablets × 0.5 grams/tablet

Amount in 1/4 tablet: (1/4)× 0.5 grams

So, the total amount in n 2 1/4 tablets would be:

Total amount = n ×0.5 + (1/4) ×0.5 grams

Tablets needed to make up 2.3 grams:

To calculate the number of tablets needed to make up 2.3 grams of calcium pantothenate, set up a proportion using the given tablet amount (0.5 grams/tablet).

Let x be the number of tablets needed.

0.5 grams/tablet = 2.3 grams / x tablets

Cross-multiply:

0.5 × x = 2.3

x = 2.3 / 0.5

x = 4.6

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Rewrite the following expanded notation in standard form. 600,000 + 80,000 + 1,000 + 400 + 70 + 5

Answers

Answer:

this is the answer

681,474

the answer is 681,475

Which of the following is a geometric sequence where a1 = 4 and r = 3?

Answers

Answer:

4, 12, 36, 108.... continue multiplying by 3

√12 + √10 − √2) is

(a) A positive rational number

(b) Equal to zero

(c) An irrational number

(d) A negative integer

Answers

Hello!

[tex] \bf \sqrt{12} + \sqrt{10} - \sqrt{2} = [/tex]

[tex] \bf \sqrt{ {2}^{2} \times 3} + \sqrt{10} - \sqrt{2} = [/tex]

[tex] \bf \sqrt{ {2}^{2} } \sqrt{ 3} + \sqrt{10} - \sqrt{2} = [/tex]

[tex] \bf \boxed{ 2 \sqrt{3} + \sqrt{10} - \sqrt{2}} [/tex]

Answer: (c) An irrational number

Good luck! :)

Can anyone help with problem 5?

Answers

Answer:

Other leg: 25 cm

Hypotenuse: 25√2 cm

Step-by-step explanation:

Hi there!

We are given a 45°-45°-90° triangle, and one leg (a side that makes up the right triangle) measures 25 cm

We want to find the length of the other sides

First, let's find the length of the other leg

A 45°-45°90° triangle is actually an isosceles triangle, and if it was to be drawn, the base angles are 45 and 45 degrees

That means the legs of the right triangle are actually the legs in the isosceles triangle as well

So the other leg is also 25 cm

Now, let's find the length of the hypotenuse, which is the side OPPOSITE from the 90° angle

You can solve for the other side using Pythagorean Theorem if you wish, however, there is a shortcut to finding the hypotenuse

In a 45°-45°-90° triangle, if the length of the legs are a, then the hypotenuse is a√2 cm

So that means the length of the hypotenuse in this case is 25√2 cm

Hope this helps!

Plsss HELP!!!
*image included

Answers

I’m so sorry I’ll work that out and give u the real answer

A sofa is on sale for $703, which is 26% less than the regular price what is the regular price?

Answers

Answer:

$950

Step-by-step explanation:

26% less than the regular price = 74%

set up the dimensions as:

part/whole = part/whole

$703 goes in part 74% goes in part

703/? = 74%/100%

Then multiply 100 by 703

100 x 703 = 70300

Finally divided by 74

70300 divided by 74 = 950

••••••••••••••••••••••••••••••••••••

The regular price = $950

703/950 = 74%/100%

This table shows the ratio of number of people to liters of Find the missing values in the ratio table
ginger ale needed.
A=
People
Ginger Ale

Answers

Answer:

A= 2  B= 6

Step-by-step explanation:

Other Questions
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What had these police recruits been required to do in order to reach the point in the process that allowed them to take the physical fitness test?Police recruits were required to pass very lengthy background checks, medical exams, psychological exams, and clearly quit any other job.5. What data does Ms. Roman share about women serving as police officers? What data does she share about women working as police chiefs?The data Ms. Roman shares about women serving as police officers is that less than 13% of the police officers hadn't changed much in the past 20 years. Only 3% of women were police chiefs in 2013.6. How are other countries doing when it comes to female representation in the police force compared to the US?When female representation in the police force compares to the US some countries have nearly twice as many women police officers.7. According to research, what are some positive results to having female police officers on the force?Positive results to having female police officers on the force include female police officers tending to have more of a positive influence, great job performance, trustworthiness, and fairness in the police force.8. What does Ms. Roman define as the main problem with the different policy agencies and their standards?Ms. Roman defines that the main problem in different policy agencies and their standards is that the the differing policy agencies and their standards is that the main focus is on physical strength.9. What should police academies also focus on, aside from physical strength, when recruiting officers?Other than physical strength police academies should focus on problem-solving skills, community policing, and interpersonal communication skills.10. What are some ways to encourage more female recruits to join the police force? How must the testing process be changed to ensure women are not unfairly excluded from the force?Some ways to encourage more female recruits to join the police force could be good salary package and suitable environments. When it comes to good salaries for the police force and an environment that feels safe and suitable with lack of sexual harassments then more women will join, some just cause they want to not for the "encouragement". The testing process could be conducted under fair supervision in order to ensure that women are not being unfairly justed from the force. A school bought 45 band uniforms and 18 musical instruments. If theuniforms cost $89 each, what was the total cost of the uniforms? Which of the following is NOT a type of figurative language?O metaphorO passive voiceO simileanalonxPlease Help How is the series 6+13+20+...+111 represented in summation notation? there is a 400 meter track. tom rides a bike at the speeed of 450 meters/minute. mike runs at the speed of 250 meters/minute. if both of them set out at the same time and same place, how soon will they meet for the first time? PLS HELP QUICK IM BEGGINGGGG!!!!! PLEASE HELP ME!! The following box plot represents the heights of the students in Mr. Taylor's fourth grade math class.In a complete sentence, answer the following question:One of the values in this data set is 138. In this box plot, what does this value mean? A straight line PQ cuts the x andy axis at M and N respectively. If the points A(-3,5) and B(4,7) lies on PQ , calculate1.the coordinate of M and N 2./AB/, correct to one decimal place3.The eqation PQI need answers urgently.pls A hot metal plate at 150C has been placed in air at room temperature. Which event would most likely take place over the next few minutes?- Molecules in both the metal and the surrounding air will start moving at lower speeds.-Molecules in both the metal and the surrounding air will start moving at higher speeds. -The air molecules that are surrounding the metal will slow down, and the molecules in the metal will speed up. -The air molecules that are surrounding the metal will speed up, and the molecules in the metal will slow down. What happens as energy from sun warms the earth unevenly? The length of the shadow of a flagpole was found to be 72 feet. The shadow of a 3 foot picket fence in line with the flagpole was 4 feet. What is the height of the flagpole.