Suppose the large number of auto accidents in a small town results in new legislation that requires all citizens of the town to install new anti-lock brakes on their cars. These new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collisions with other cars and pedestrians more easily. The new brakes _________ the probability that a vehicle will collide with another vehicle but also give drivers an incentive to drive more _________, which could potentially __________ the number of car accidents.
a. decrease; carefully; increase
b. decrease; recklessly; increase
c. increase; recklessly; increase
d. decrease; carefully; decrease

Answer:

50 m²

Step-by-step explanation:

2 cm for length = 5 m. 4 cm for width = 10 m. Area = width • length. 10•5=50

Answer: x intercept is 2/5, and y intercept is -2

Step-by-step explanation:

Bascially when your solving for x intercept, substitute 0 for y, then for this equation u get 0=5x-2, which is equal to 5x=2, so the x intercept is 2/5. You do the same thing for y intercept, so substitute 0 for x this time, then you'd get y=-2.

Answer:

approx. 6.523809523809524 hours

Step-by-step explanation:

Let us first find how long it takes Jane to drive 1 mile.

11/693 = approx. 0.015873015873016 hours to drive one mile.

She drives 411 miles, so we can multiply that by 411:

0.015873015873016 * 411 = approx. 6.523809523809524 hours

I hope this helps! :)

Answer:

6.52 hours

Step-by-step explanation:

693 miles divided by 11 hours = 63 miles per hour.

411 miles divided by 63 miles = 6.52380952 miles

Round to 2 decimal places: 6.52 hours

Answer:

4 4/9

Step-by-step explanation:

Move all terms not containing x

to the right side of the equation.

Exact Form:

x=−409

Decimal Form:x=−4.¯4

Mixed Number Form:

4 4/9

Answer:

-39

Step-by-step explanation:

x-6/9 = -5

then multiply both sides by 9

9  ° (x-6) / 9  = 9 ° -5

simplify

x-6= -45

add 6 to both sides

x-6+6=-45+6

simplify

x= -39

Answer: $825 (B)

Step-by-step explanation:

it’s obvious

Answer: The answer is B!

Step-by-step explanation: It's on edge, hope this helped!

Answer:

Look at the graph below, hope this helped.

Step-by-step explanation:

Answer:

Amount contributed by Oscar = $8

Step-by-step explanation:

Given that:

Amount spent on gift = $36

Amount contributed by Moriah = $12

Let,

x be the amount contributed by each of them.

Thus,

Gift total = Contribution of all

36 = x+x+x+12

36 = 3x+12

3x+12 = 36

3x=36-12

3x=24

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{24}{3}\\x=8[/tex]

Hence,

Amount contributed by Oscar = $8

Answer:

15

Step-by-step explanation:

18 ÷ 3 = 6

6+3 =15

hope this helps

Answer:

perimeter: 2(l+b) , area : multiply by breadth

Step-by-step explanation:

perimeter: 2(10.5+5.5)

               :206.5m ans

area: 10.5multiply bye 5.5

      :57.75m ans

2: perimeter: 2(15+6.8)

                   : 36.8cm ans

area : 15 multiply by 6.8

        : 102cm ans  

Answer:

Vertical Angles Theorem

Step-by-step explanation:

I'm not sure what you're asking because 2. 124 2. 1 doesn't make mathematical sense, but if angle 1=angle 2, you use the vertical angles theorem.

Answer:

The answer to the question provided is 14.4 ft.

Step-by-step explanation:

We can solve this using proportion!

[tex] \frac{18}{x} = \frac{10}{8} \\ \\ \frac{10x}{10} = \frac{144}{10} \\ \\ x = 14.4[/tex]

Answer:For the first one it would be x=35

And the 2nd one would just be x=-1

Step-by-step explanation:

Answer:

The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]

Step-by-step explanation:

Suppose we have a function f(x). If we want to shift the function 1 unit to the left, we find f(x+1).

In this question, we have:

[tex]f(x) = x^3 + x^2 - 2x + 1[/tex]

Shifting 1 unit to the left:

[tex]f(x+1) = (x+1)^3 + (x+1)^2 - 2(x+1) + 1[/tex]

[tex]f(x+1) = (x^3 + 3x^2 + 3x + 1) + (x^2 + 2x + 1) - 2x - 2 + 1[/tex]

[tex]f(x+1) = x^3 + (3+1)x^2 + (3+2-2)x + 1 + 1 - 2 + 1[/tex]

[tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]

The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

[tex] \underline{ \underline{ \text{Using \: pythagoras \: theorem}}} : [/tex]

[tex] \boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}[/tex]

⤑ [tex] \sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }[/tex]

⤑ [tex] \sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }[/tex]

⤑ [tex] \sf{ \sqrt{100 - 64}} [/tex]

⤑ [tex] \sf{ \sqrt{36}} [/tex]

⤑ [tex] \boxed{ \sf{6\: units}}[/tex]

[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

2000 times

Step-by-step explanation:

Given

Sara:

[tex]Mercury = 3.302 * 10^{23[/tex]

[tex]Saturn = 5.685 * 10^{26[/tex]

Sam:

[tex]Mercury = 3.302 * 10^{29[/tex]

[tex]Saturn = 5.685 * 10^{32[/tex]

To determine the number of times, the mass of Saturn is greater than the mass of Mercury, we simply do the following:

[tex]Times = \frac{Saturn}{Mercury}[/tex]

Using Sara's measurement; this gives:

[tex]Times = \frac{5.685 * 10^{26}}{3.302 * 10^{23}}[/tex]

Apply law of indices

[tex]Times = \frac{5.685 * 10^{26-23}}{3.302}[/tex]

[tex]Times = \frac{5.685 * 10^3}{3.302}[/tex]

[tex]Times = 5.685/3.302 * 10^3[/tex]

[tex]Times = 1.72 * 10^3[/tex]

Approximate

[tex]Times = 2 * 10^3[/tex]

[tex]Times = 2000[/tex]

Answer:

234

Step-by-step explanation:

Answer:

The answer to the question provided is letter c.

Answer:

x = 5, and y = 8

Step-by-step explanation:

You can solve this system by solving either of the equations for either x or y, and substituting that into the other.

Since the first equation is already defined for y, let's substitute that into the second equation:

4x - 5y = -20

4x - 5(3x - 7) = -20

4x - 15x + 35 = -20

4x - 15x = -20 - 35

-11x = -55

x = 5

We can then plug that into either of the original equations to find y:

y = 3x - 7

y = 3 * 5 - 7

y = 15 - 7

y = 8

We can also verify our answer by plugging one of the values into either of the original equations and seeing what we get:

4x - 5y = -20

4x - 5 * 8 = -20

4x - 40 = -20

4x = 20

x = 5

So we know the answer is correct.  x is equal to five, and y is equal to eight.

Answer:

x = 3

equation: 6x - 6 = 12

Step-by-step explanation:

6x - 6 = 12

aka:

6x + -6 = 12

+6. +6

6x = 18

/6. /6

x = 3

check: 6(3) - 6 = 12

18 - 6 = 12

12 = 12

Answer:

2

Step-by-step explanation:

You don't measure cereal in the others because feet, meters and millimeters are too big. Hope this helps.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the set B

Analysis of the elements in the set B

We can check that each element in set B is a square of a whole number.

Therefore, we conclude that:

B = { square numbers less than 30 }.

or

B = {m/m is square of a whole number; [tex]0 \leq m \leq 5[/tex] }

The equation that represents the age of the youngest sister is 4x + 12 = 36. Then the age of youngest sister will be 6 years old.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The four sisters are all 2 years apart in age. The total of their ages is equal to 36 years.

Let x be the age of the youngest sister. Then the age of other sister will be x + 2, x + 4, and x + 6. Then the equation is given as,

x + x + 2 + x + 4 + x + 6 = 36

4x + 12 = 36

4x = 36 - 12

4x = 24

x = 24 / 4

x = 6

The equation that represents the age of the youngest sister is 4x + 12 = 36. Then the age of youngest sister will be 6 years old.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Answer: 720,000,000,000

Step-by-step explanation: Find your answer by multiplying the 2 percent's.

Let p, equal percent.

800000000.0%x9000000.0% = p

800000000.0%x9000000.0% = 720,000,000,000

720,000,000,000  = p

Answer:

Step-by-step explanation:

I'm not sure about number 3, but I have the answer for number. The answer is 1:32.

3: 69

3/69

Then we reduce the fraction to the lowest term

3/69 = 1/32

1:32

Just divide 96/3 and you can see that one bus can hold 32 students

Answer:

80 gallons and a leaking problem.

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

Answer:

B

Step-by-step explanation:

well, the sequence are in the form

[tex]a1, a2, a3, a4, a5, ... , an[/tex]

a1 = first term = 45

you can plug 1 to any of the option

and ended with B the only function that satisfies what we need

Answer:

hope this helps, brainlist? (OwO)

Step-by-step explanation:

I think the answer is 27.89 feet, C

The building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Lenght of the ladder = 32 foot

The angle formed between the ladder and the ground = 29.37°

The ladder, wall of the building, and the ground are making a right-angle triangle.

Let's suppose the base of the ladder is x feet far from the building.

Applying the Cos ratio to find the value of x:

[tex]\rm Cos29.37\°=\frac{x}{32}[/tex]

x = 27.887 feet or     (Cos29.37°  = 0.871)

x = 27.89 feet

Thus, the building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.

Know more about trigonometry here:

brainly.com/question/26719838

SPJ2

Answer:

Step-by-step explanation: You have to add the number

420

+77

497