A train is exactly 24km from Smalltown at 7:00p.m. It travels toward Smalltown at a constant rate of 90km per hour. At what time does the train reach Smalltown?

Answer: 16:81

Step-by-step explanation:

Answer:

A, B, E

Step-by-step explanation:

Exterior angles are angles that are outside the shape. In this case, angle 4, 3 and 2 are exterior angles.

Answer:

the first one...

the cost of renting the ally for 14 hours

Step-by-step explanation:

Answer:

the first one

the number of dollars it costs to rent the bowling lane for14 hours

Answer:

y = -4.9/5.4x - 1.17

Step-by-step explanation:

First let's convert the equation to standard form of y = mx + b.

4.9x + 5.4y = 3

Subtract 4.9x from both sides.

5.4y = -4.9x + 3

Divide each term by 5.4.

y = -4.9/5.4x + 0.56

If two lines are parallel to each other, they have the same slope slopes.

The first line is y = -4.9/5.4x + 0.56. Its slope is -4.9/5.4. A line parallel/perpendicular to this one will also have a slope of -4.9/5.4.

Plug this value (-4.9/5.4) into your standard point-slope equation of y = mx + b.

y = -4.9/5.4x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-3.6, 2.1). Plug in the x and y values into the x and y of the standard equation.

2.1 = -4.9/5.4(-3.6) + b

To find b, multiply the slope and the input of x (-3.6)

2.1 = 3.27 + b

Now, subtract 3.27 from both sides to isolate b.

-1.17 = b

Plug this into your standard equation.

y = -4.9/5.4x - 1.17

This equation is parallel/perpendicular to your given equation (y = -4.9/5.4x + 0.56) and contains point (-3.6, 2.1)

Hope this helps!

Answer:

1

Step-by-step explanation:

1. a= 19

2.2 ( second option)

3.C

4D

9514 1404 393

Answer:

  B.  3x² +2 = 0

Step-by-step explanation:

The equation of A has a couple of real roots. We're pretty sure there are complex numbers that will satisfy this equation, but we don't know how to find them. (We suspect a typo, and that the equation is supposed to be 2x² +1 = 7x, which has only real roots.)

__

The equation of B can be rewritten as ...

  x² = -2/3

This will have complex roots.

__

The discriminants of both equations C and D are positive, so those have only real roots.

  2x² -5x -1   ⇒   d = (-5)² -4(2)(-1) = 33

  3x² -6x -1   ⇒   d = (-6)² -4(3)(-1) = 48

Answer:

4x -12

Step-by-step explanation:

8 - 4(-x + 5)

Distribute

8 -4(-x) -4(5)

8 +4x -20

4x -12

answer 4( - 3 + x)

answer

[tex]4( - 3 + x)[/tex]

[tex]8 - 4( - x + 5)[/tex]

answer

[tex] - 12 + 4x[/tex]

Answer:

3

Step-by-step explanation:

assuming you forgot you ^ mark after x x^3 would be the highest x order here making it the order for the equation.

Answer:

O-2(x+5)=2x-10

Explanation

O-2(x+5)=2x-10

SOLUTION

-2x(x)= -2x

-2x+5 = -10

Answer:

i am not sure about this answer but i got r^2+10r+25

Answer:

sink at 1.28 g/cm^3

v = 4/3 [tex]\pi r^{3}[/tex]

v = 4/3 [tex]\pi 1.4^{3}[/tex]

v =11.49 /9 =1.28

Step-by-step explanation:

Answer:

B) 9

Step-by-step explanation:

Because there's a square between the 2 angles, that means these angles are complementary (angles that add up to 90°). So:

5x - 9 + 6x = 90

11x - 9 = 90

11x = 90 + 9

11x = 99

x = 9

Answer:

B.9

Step-by-step explanation:

The way to solve this is by noticing that these angles are complementary(they add up to 90 degrees). So you add the equations together and equal them to 90. 5x-9+6x=90.Then you solve to find that x=9.

Hello!

32 students (girls+boys)

20 (girls)

32-20 = 12 (boys)

The ratio of girls to the boys

= 20:12

= 5:3

D is the answer.

Good studies!

Answer:

B

Step-by-step explanation:

A x - 36 <42 is wrong because its saying how many can be added

B x +36 < 42 this one is most likely correct because its displays x as how many can be added

C x - 36 > 42 this is wrong because the bus has less than 42 seats

D x + 36 >57 like i said cant be over 42

The inequality representing the possible number of passengers that can be added to the bus is Option(B) x + 36 < 42.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. Inequality is used most often to compare two numbers on the number line by their size. There is always a definite equation to represent it.

Let x be the number of passengers that can be added to the bus.

It is given that the bus has less than 42 seats and 36 seats are already occupied.

The sum of the remaining seats which are to be filled by the passenger and the 36 seats which are filled, must be less than the total seats that is 42.

Therefore the inequality equation becomes,

x + 36 < 42.

Thus, the inequality representing the possible number of passengers that can be added to the bus is Option(B) x + 36 < 42.

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Answer:

0 because there is no image....

Answer:

V = 24.28 in ^3

Step-by-step explanation:

The area of the base is

A =5/2 × s × a  where s is the side length and a is the apothem

A = 5/2 ( 2.13) * .87

A = 4.63275

The volume is

V = Bh  where B is the area of the base and h is the height

V = 4.63275 ( 5.24)

V =24.27561 in^3

Rounding to the  hundredth

V = 24.28 in ^3

Answer:

v =  14 km/h

Step-by-step explanation:

d = 0.0067[tex]v^{2}[/tex] + 0.15v

differentiate the function with respect to v to have;

d = 0.0134v - 0.15

given that the distance without skidding = 37 m (0.037 km) , then;

0.037 = 0.0134v - 0.15

0.0134v = 0.037 + 0.15

             = 0.187

v = [tex]\frac{0.187}{0.0134}[/tex]

  = 13.9552

v =  14 km/h

The speed of the car travelling would be 14 km/h to be able to stop within 37m.

Answer:

1/8

Step-by-step explanation:

9/16 * 4/18

Rewriting

9/18 * 4/16

9/18 = 1/2   and 4/16 = 1/4

1/2 * 1/4

1/8

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]\frac{9}{16}[/tex] x [tex]\frac{4}{18}[/tex] = [tex]\frac{(9)(4)}{(16)(18)}[/tex]

[tex]\frac{(9)}{(18)}[/tex] = [tex]\frac{1}{2}[/tex]

[tex]\frac{4}{16}[/tex] = [tex]\frac{1}{4}[/tex]

[tex]\frac{(1)(1)}{(2)(4)}[/tex] = [tex]\frac{1}{8}[/tex]

Answer:

Step-by-step explanation:

x = - 48/-8  = 6

c = c^2/c^1 = c^(2-1) = c^1

d = d^4 / d^1 = d^(4 - 1) = d ^3

x = 6

e = 1

f = 3

Answer:

25 girls and 50 boys

Step-by-step explanation:

let x be the number of boys

let x/2 be the number of girls

x + x/2 = 75

3x/2 = 75

3x = 150

x = 50

there are 50 boys and 50/2 = 25 girls.

check:

50 + 25 = 75

Answer:

280

Step-by-step explanation:

Use the formula: (a((r^n)-1))/(r-1)

= (7((3^4)-1))/(3-1)

The sum of the given geometric series is 280.

We have given that,

a1=7, n=4 and r=3

We have to determine the sum of a geometric series

[tex]S_n=(a((r^n)-1))/(r-1)[/tex]

[tex]= (7((3^4)-1))/(3-1)[/tex]

[tex]=280[/tex]

Therefore the sum of the given geometric series is 280.

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Answer:

(x-2)/3

Step-by-step explanation:

3x^2 -12

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

9x+18

Factor

3(x^2-4)

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

9(x+2)

Notice the numerator is the difference of squares

3(x-2)(x+2)

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

3*3(x+2)

Canceling like terms

(x-2)

--------

3

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

[tex]\dfrac{3x^2-12}{9x+18}\\\\ \dfrac{3(x^2-4)}{9(x+2)}\\\\ \dfrac{3(x+2)(x-2)}{3.3(x+2)}\\\\ \dfrac{\cancel{3(x+2)}(x-2)}{3.\cancel{3(x+2)}}\\\\\dfrac{x-2}{3}[/tex]

Answer:

The slope is -3/4 and a point on the line is (-5,4)

Step-by-step explanation:

This equation is in point slope form

y -y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

Y-4=-3/4(x+5)

Y-4=-3/4(x -  -5)

The slope is -3/4 and a point on the line is (-5,4)

t=2w-1

OPTION A is the correct answer...

(a) i aint drawing a tree but basically, if left means a boy is born and right means a girl is born, the far left result (both boys) will happen with probability [tex](0.52)^2[/tex], the two middle results (one boy and one girl) will both happen with probablility [tex]0.48 \cdot 0.52[/tex], and the far right result (both girls) will happen with probability [tex](0.48)^2[/tex].

(b) binomial distribution table for what...?

Answer:

There is a slight problem with this question

Do numbers starting with "0" count as a digit position

I would say no, thus the answer is 4...

if you are allowed to use 0 then the answer is 8

in other words if the question was using only 4's and 1's then the answer would be 8  

Step-by-step explanation:

000

004

040

044

400

404

440

444

Answer:

[tex]WX=\sqrt{970}[/tex]

Step-by-step explanation:

The diagonals of a kite intersect at a 90-degree angle. In this figure, right triangle [tex]\triangle WRX[/tex] is formed by half of each of the diagonals.

In any right triangle, the Pythagorean Theorem states that [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle and [tex]c[/tex] is the hypotenuse.

Segment WR is one leg of the triangle and is given as 21. XR forms the other leg of the triangle, and is exactly half of diagonal XZ. Therefore, [tex]XR=\frac{1}{2}\cdot 46=23[/tex].

The segment we're being asking to find, WX, marks the hypotenuse of the triangle.

Therefore, substitute our known information into the Pythagorean Theorem:

[tex]21^2+23^2=WX^2,\\WX^2=970,\\WX=\boxed{\sqrt{970}}[/tex]

Answer:

WX= 31.14

Step-by-step explanation:

Use the Pythagorean theorem- [tex]a^{2} +b^{2} =c^{2}[/tex]

XR=23 by taking half of 46

[tex]21^{2} +23^{2} =c^{2} \\441+529=c^{2} \\970=c^{2}[/tex]

sqrt both sides to get your answer of 31.14

Answer:

desmos .com

Step-by-step explanation:

Answer: See the graph below

Step-by-step explanation:

Concept:

Formula for circle: (x - k )² + (y - h)² = r²

Center = (k, h)

Radius = r

**Disclaimer** variables used can be different

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

Solve:

Given: (x - 2)² + (y + 3)² = 16

Center = (2, -3)

Radius = √16 = 4

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Another example of a number who's square root is greater than the number is  [tex]\sqrt{0.49}[/tex] which is 0.7

Step-by-step explanation:

This square root is larger than the number because it is a decimal. When you multiply a decimal by a decimal, the decimal point becomes greater. For example: 0.7 multiplied by 0.7 equals 0.49 which has 2 decimal places, while 0.7 only has one.