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A physicist working in a large laboratory has found that light particles traveling in a particle accelerator increase velocity in a manner that can be described by the linear function -4x+y=15, where x is time and y is velocity ion kilometers per hour. Use this function to determine when a certain particle will reach 30 km/hr.

Answer:

Yes they are rational numbers

Step-by-step explanation:

Given decimals like 0.5 and 0.3 are rational numbers because they are terminating decimals and can be written as p/q

Rational numbers are numbers which can be written in the form p/q , where p and q are integers ,q≠0, highest common factor of p and q is 1.

The decimal expansion of rational number are terminating decimal expansion or non terminating and recurring decimal expansions.

Examples of rational number: 1/2 , 3/4, 13/2, 0.125,0.5, 0.55555....,

0.1212121212.....

As the given decimals 0.5 and 0.3 have terminating decimal expansion  therefore they are rational numbers.

The rational form of 0.5 and 0.3 are

0.5 = 5/10 = 1/2

∴ 0.5 is written as p/q with p= 1 and q =2≠0 , p and q are coprime

0.3 = 3/10  

∴ 0.3 is written as  p/q with p= 3 and q =10≠0 , p and q are coprime

Therefore, 0.5 and 0.3 are rational numbers.

Also, Learn more about rational numbers from the link below:

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Answer:

(X+1) (x - 4) (x+2)

Step-by-step explanation:

All the coefficients are integers so apply the rational zeros theorem.

The coefficient of x^3 is 1.

Divide (x^3-x2-10x-8)(x+1) = x^2-2x-8 with remainder = 0

The remainder is 0. (x+1) is a factor.

(x + 1) ( x^2 - 2x - 8)

x^2 - 2x - 8 (-4 * 2= 8) and -4 + 2 = -2)

= (x -4) (x+2)

Answer:

the answer should me 1.5 grams

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

4+3+6+10

4+3 = 7

7 + 6 = 13

13 + 10 = 23

This is super easy, no offense

Answer:

m<BEC=80º

Step-by-step explanation:

a line is 180º total

180-70-30=80

Answer:

BEC = 80°

Step-by-step explanation:

Supplementary = 180°

70 + 30 = 100

180 - 100 = 80

Hope this helps! Pls give brainliest!

Answer:

hence the total cost to plough the trapezium field

is Rs. 893500.50

Step-by-step explanation:

the required answer may be wrong .... but this is the way to do it....

hope this helped you...☺️

comment if any confusion

NOT CONGREUNT!! There is no axiom to prove congruent.

Answer:

Step-by-step explanation:

you just have to evaluate the expression and then solve it

Answer:

sum of all angles of a triangle= 180°

Let angle A be x,

then 63°+90°+x=180°

x=17°

Answer:

x=13

Step-by-step explanation:

Switch sides:

2x−9=17

Add 9 to both sides:

2x−9+9=17+9

Simplify

2x=26

Divide both sides by 2:

2x/2 =26/2

Simplify to get the result.

x=13

Answer:

x=13

Step-by-step explanation:

[tex]\sf 2x-9=17[/tex]

[tex]\sf 2x-9+9=17+9[/tex]

[tex]\sf 2x=26[/tex]

[tex]\sf \cfrac{2x}{2}=\cfrac{26}{2}[/tex]

[tex]\sf x=13[/tex]

Answer:

y = -x - 6

Step-by-step explanation:

Slope = m = -1

Equation of line: y = mx + b

y = - x + b

Plugin x = -1 and y = -5 in above equation

-5 = -(-1) + b

-5 = 1 + b

-5 - 1 = b

b = -6

Equation of the line: y = -x - 6

Answer:

definition of perpendicular

Step-by-step explanation:

typically when 2 lines cross they are 90 degrees or other word... perpendicular

Answer:

The Snowplow needs to turn 44 times.

Answer:

0.85 gallons

Step-by-step explanation:

4.675(gallons) dived by 5.5(hours). Hope it helps

Answer:

Step-by-step explanation:

-39 = 18 + 4m

4m + 18 = -39

Subtract 18 from both sides

4m = -39 - 18

4m = -57

Divide both sides by 4

m = -57/4

[tex]m = -14\dfrac{1}{4}[/tex]

Answer:

-14 1/4

Step-by-step explanation:

I took the test

1) 4<7

×7 ×7

28<49

×6 ×6

168<294

×3 ×3

504<882

×10 ×10

5040<8820

2) 11>-2

+5 +5

16> 3

+3 +3

19>6

+-4 +-4

15>2

3) -4<-2

-6 -6

-10<-8

-8 -8

-18<-16

-2 -2

-20<-18

4) -8<8

÷-4 ÷-4

2<-2

÷-2 ÷-2

-1< 1

5) ~The affect of the inequality sign didn't change. If you add or subtract the same positive or negative number to both sides of an inequality or an equation, the inequality stays the same. If you multiply or divide both sides of an inequality or an equation by the same positive number, the inequality stays the same. This is because when manipulating inequalities there are rules this if a < b then a + c < b + c so we get a new number that replaces a and b yet the inequality symbol stays the same so a still is smaller than b.

Hope this helped you- have a good day bro cya)

Answer:

X, Y, Z are collinear

Step-by-step explanation:

X,Y,Z lie on the same straight line

The slope of the lines are the same thus line m and n both passes through X, Y, and Z points and thus all three points will be colinear.

A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

Given that line m is passing →

Points X and Y

Line n passing →

Points X, Z

The slope of m = slope of n

If the slope same then the line will be parallel and since both lines are passing through the same point X thus they will be a colinear line.

All points that lie on the colinear line are colinear points.

Hence "X, Y, and Z all three points will be colinear".

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Answer:

16) 19/4

17) -1

18) equiangular

19) (n-2) x 180

20) 0,1

21) sector

22) 20

23) n(n-3)/2

24) 144

25) Raw

Answer:

not factorable

Step-by-step explanation:

[tex]x^{2} - 9x +10\\[/tex]

The easiest way to factor is to find two numbers of the "a" value (the coefficient before [tex]x^{2}[/tex]) and the factors of the c value (10) that ADD up to give you -9, in this case it would be:

1          -10  --> 1(-10) gives you -10

1           -1    --> 1(-1) gives you -1

adding these together -10 + (-1) = -11 which does not equal -9.

You could stop here and conclude that this is not factorable by inspection.

Another method: using the quadratic formula to find its roots.

Roots: [tex](\frac{9-\sqrt{41} }{2}, 0)[/tex] and [tex](\frac{9+\sqrt{41}}{2}, 0)[/tex]

Answer:

Step-by-step explanation:

104         x

----      =  ---

50          60

Cross multiply 104 by 60. 6240 is your answer.

Your new equation is 6240 = 50x.

Divide both sides by 50. 6240/50 = x

x = 124.8 mph (miles in one hour)

A. 112°

21x+5+37x+1=180

58x+6=180

-6

58x=174

÷58

X=3

37(3)+1

111+1

112

Answer:

Circumference formula is πr². while we do not have the radius, you do have the diameter, the diameter is the full length of the circle while the radius is half of the circle. So you take 14/2=7 so the new equation is π7² so you would do 7x7 to get 49, then you would do 49 x 3.14 and you'll have 153.86 Centimeters². You'll need to double check this but I hope this helped.

this is the full answer for you're Q

please give me good

The time taken by the object to hit the ground will be 9 seconds.

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that an object is launched at 9.8 meters per second (m/s) from a 308.7-meter tall platform. The function that represents the object's height s at time t seconds after launch is

s(t) = −4.9t²+ 9.8t + 308.7

To find the time taken put the function equal to zero.

−4.9t²+ 9.8t + 308.7 = 0

t² - 2t - 63 = 0

t² - 9t + 7t - 63 = 0

t ( t - 9 ) +7 ( t - 9 ) = 0

( t - 9 ) ( t + 7 ) = 0

t = 9 and -7(ignore)

t = 9 seconds

Therefore, the time taken by the object to hit the ground will be 9 seconds.

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Answer:

Chase is correct. the first one

Step-by-step explanation:

Answer:

Solution is (3, -3)

Step-by-step explanation:

To solve by graphing, you literally have to graph both lines to see where they intersect. That point of intersection is the solution to the given system.

Given the following linear equations:

y = - x   where the slope (m) = -1, and the y-intercept (b) = 0.

y = x - 6 where the slope (m) = 1, and the y-intercept (b) = -6.

Plot the intercepts (0, 0) for the first line, and (0, -6) for the second line, as a starting point, then use the given slopes (rise over run) of each line to plot the next points. Repeat the process until you have enough points to connect with and create a line.

Attached is a screenshot of the graphed systems of linear equations. It shows that the solution is (3, -3).

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Answer:

60

Step-by-step explanation:

Trust me homie

Answer:

m∠1 = 75° m∠2 =45° m∠3 = 60°

Step-by-step explanation:

m∠1 = 180 - { (180 - 135) + (180 - 120) }

m∠1 = 180 - { 45 + 60 }

m∠1 = 75°

The angle between 1 and 3, lets call it x,  is vertically opposite to ∠2, so we must find it first to be able to get ∠2

Since a ║b

Therefore ∠x and ∠135 are co-interior angles

Therefore ∠x = 180-135

m∠x = 180 - 135

m∠x = 45°

∠2 = ∠x (Vertically opposite angles)

∠2 = 45°

Between ∠2 and ∠3 there is an angle, let's call it z.

∠z = ∠1 (Vertically opposite angles)

∠z = 75°

Since the sum of angles 2, z and 3 = 180° (Straight angle)

Therefore m∠3 = 180 - (∠2 + ∠z)

m∠3 = 180 - (45 + 75)

m∠3 = 60°

Or in a different way

∠2 + ∠z + ∠3 = 180

45 + 75 + ∠3 = 180

120 + ∠3 = 180

∠3 = 180 - 120

∠3 = 60°

Hope it helps

Answer:

20

Step-by-step explanation:

Assuming you are referring to the day that both teams would play on the same day, it would be the 20th.

There are two ways you can do it.

1. List out the multiples of each number

2. multiply the two days together

If you want to do it the first way it would look like this...

5 10 15 20

4 8 12 16 20

When you do it like this it shows you that the 20th day is the day they would both play together

If you want to do it the second way it would look like this...

4th day X  5th day = 20th day

Either way you solve the problem you get the same answer, this may not work for every problem like this, but it works for this particular one

Using a system of equations, it is found that the number of blue M&Ms in the package is of:

D. 105

In this problem, the variables are:

There are 305 M&Ms, hence:

[tex]x + y + z = 305[/tex]

There are three times as many red as white, hence:

[tex]x = 3y[/tex]

[tex]x + y + z = 305[/tex]

[tex]3y + y + z = 305[/tex]

[tex]4y + z = 305[/tex]

The blue are five more than twice the white, hence:

[tex]z = 5 + 2y[/tex]

Then:

[tex]4y + z = 305[/tex]

[tex]4y + 5 + 2y = 305[/tex]

[tex]6y = 300[/tex]

[tex]y = \frac{300}{6}[/tex]

[tex]y = 50[/tex]

[tex]z = 5 + 2y = 5 + 2(50) = 105[/tex]

Hence option D is correct.

To learn more about system of equations, you can take a look at https://brainly.com/question/24823220