The number of taxi accidents is approximated by y equals negative 143.3 x squared plus 1823.3 x plus 6820 and the number of injuries is approximated by y equals negative 416.72 x squared plus 4416.7 x plus 8500. Let xequals0 represents 1990, xequals1 represents 1991, and so on.

Answers

Answer 1

Answer:
number of taxi accidents = 12235.2 which is approximately approximately 12235 accidents

Explanation:
The equation for the number of accidents is given as:
y = -143.3 x² +1823.3 x + 6820

We are given that:
x = 0 represents 1990
x = 1 represents 1991
Therefore:
x = 8 represents 1998

Now, all we have to do is substitute with the value of x = 8 in the equation of accidents to get the number of taxi accidents in 1998 as follows:
y = -143.3 (8)² +1823.3 (8) + 6820
y = -143.3 (64) + 1823.3 (8) + 6820
y = -9171.2 + 14586.4 + 6820
y = 12235.2

If we are asked to approximate the answer, then it would be approximately 12235 accidents

Hope this helps :)

Related Questions

A plane traveled 972 miles to Berlin and back. The trip there was with the wind. It took 9 hours. The trip back was into the wind. The trip back took 18 hours. Find the speed of the plane in still air and the speed of the wind

Answers

With the wind, the plane's speed was (972 mi)/(9 h) = 108 mi/h.
Against the wind, the plane's speed was (972 mi)/(18 h) = 54 mi/h.

The speed of the plane in still air is the average of these speeds, 81 mi/h.
The speed of the wind is half the difference of the trip speeds, 27 mi/h.

Please need help on this

Answers

The correct answer is: [D]: " y ≥ x − 2 " .
________________________________________________________
Explanation:
________________________________________________________
From examining the graph in the "image attached", note that we have a "line" in linear format" ; and that has a "solid line" (as opposed to a "dashed line"); with a "shaded portion" toward one side.

The presence of a "solid line" indicates:

" ≥" {"greater than or equal to"} ; or,

" ≤ " {"less than or equal to"};
________________________________________________________
So we can narrow down our answer choices to:
________________________________________________________
[C]: " y ≤ x − 2 " ; and:

[D]: " y ≥ x − 2 " .
________________________________________________________
Note:
________________________________________________________
A "dashed line" would have narrowed our answers to Choices [A] & [B].
_______________________________________________________
Now, look at inequalities in choices [C] & [D].

Start with Choice: [C]: " y ≤ x − 2 " ;

Now, take the point in the graph: "(0, 0)" ; which is in the shaded portion.

That is; when "x = 0 ; y = 0" .

Does this hold true for the inequality provided for Choice [C]:

→ " y ≤ x − 2 " ?

→ Plug in "0" for "x" ; and "0" for "y" ; and see if the inequality holds true ;

→ " 0 ≤ 0 − 2 " ?

→ " 0 ≤ -2 " ?? No!
_________________________________________________________
As such, the correct answer is: Answer choice: [D]: " y ≥ x − 2 " .
_________________________________________________________

However, let us substitute: x = 0 ; y = 0 ; for the point: " (0, 0)" within the "shaded portion" of the graph; as done above ; but this time, use the inequality for "Choice: [D]: " y ≥ x − 2 " .

→ " 0 ≥ 0 − 2 " ? ;

→ " 0 ≥ -2 " ?? Yes!
________________________________________________________
The correct answer is: [D]: " y ≥ x − 2 " .
________________________________________________________

How to know that number is irrational list all things . plz

Answers

Irrational numbers cannot be expressed in a fraction. Rational numbers can

Example:

Rational Number - 1.5

Irrational number - 3.14159265359...

I agree with the first person answer that’s basically what I was going to do but I did it in my brain and head

3x squared -42x+9=-5 for completing the square

Answers

[tex]3x^2 -42x + 9 = -5[/tex]

Subtract 9 from both sides
[tex]3x^2 -42x = -5 - 9[/tex]

[tex]3x^2 -42x = -14[/tex]

Divide by 3 through
[tex]x^2 -14x = - \dfrac{14}{3} [/tex]

Add (b/2)^2 to form perfect square
[tex]x^2 -14x + (\dfrac{14}{2})^2 = - \dfrac{14}{3} + (\dfrac{14}{2})^2 [/tex]

Form perfect square
[tex](x -7)^2 = \dfrac{7}{3}[/tex]

square root both sides
[tex](x -7) = \pm \sqrt{\dfrac{7}{3}} [/tex]

Add 7 to both sides
[tex]x = \pm \sqrt{\dfrac{7}{3}} + 7[/tex]

Rewrite the answer into 2 different answers
[tex]x = 7 + \sqrt{\dfrac{7}{3}} \ or \ 7 - \sqrt{\dfrac{7}{3}}[/tex]

3 to the power of n = 81. Pls explain

Answers

n = 4 because [tex] 3^{4} [/tex] equals 3 * 3 * 3 * 3 = 9 * 9 = 81

in this case you would need to divide 81 by 3 to get what n is and 81 divided by 3 is 27

Can you help me to find the answer

Answers

He simplified expression C because that is the only one that has only multiplications.

Since he used the 'product of powers' property, he has to use multiplication. Also, the commutative property is only for addition and multiplication. So, the answer is C.

What is the exact volume of the cone?

40π cm³
803π cm³
1603π cm³
160π cm³

Outline of cone with dotted line rising from middle of base to the point. Line is labeled ten centimeters. A second dotted line extends horizontally from middle of base to its edge. Line is labeled four centimeters.

Answers

Answer:

it is c

Step-by-step explanation:

The exact volume of the cone in which the outline of cone with dotted line rising from middle of base to the point is 160/3π cm³.

What is of volume of solid?

Volume of solid is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.

The volume of the cone can be given with the following formula as,

[tex]V=\dfrac{\pi r^2 h}{3}[/tex]

Here, (r) is the radius of the base of the cone and (h) is the height of the cone.

The image of the cone, whose volume has to be find out, is attached below.

The height of the cone is 10 cm long and the radius is 4 cm long. Thus put these values in the above formula as,

[tex]V=\dfrac{\pi (4)^2 (10)}{3}\\V=\dfrac{160}{3}\pi \;\;\tm cm^3[/tex]

Hence, the exact volume of the cone in which the outline of cone with dotted line rising from middle of base to the point is 160/3π cm³.

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BRAINLIEST if right!
Find the area of the circle. Use 3.14 for π. Round to the nearest square foot.

Answers

The formula for the area of a circle is pi times the radius squared. Here are the steps to solving this problem.

1. First, find the radius. Since the radius is allows half of the diameter, then we divide the diameter by two. 50/2= 25

2. Next, we square the radius. 25^2= 625

3. After that we multiply 625 ft by pi(3.14).
625 times 3.14= 1962.5

4. The last step is to round the the answer to the nearest square foot. Since 5 is at the end, we round up to 1,963.

So the answer is 1,963 ft^2.

what is distribution property

Answers

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

Hope this helps!
let me know if i'm wrong

Hi there!

The distribution property is a property where you simplify an equation or expression by distributing a variable or number outside a set of parenthesis and multiply it inside the parenthesis. It can only be done if the variables inside the parenthesis cannot be further combined.

For example,

2(x + 4)

Since you can't combine the x and the 4 inside the parenthesis, you distribute the 2 into the parenthesis and multiply it by x and 4.

2*x + 2*4

Now, we can just simplify this:

2x + 8

2x + 8 would be the simplest form.

Hope this helps!

The library is having a book sale. Hardcover books sell for $4 each, and paperback books are $2 each. If Connie spends $26 for 8 books, how many hardcover books did she buy?

Answers

5 hardcover books and 3 paperbook.
[tex](5 \times 4) + (3 \times 2) \\ = 20 + 6 = 26[/tex]

5 hard covers and 3 paperbacks.

Solve for x in the diagram.

A. 25 B. 37 C. 15 D. 14

Answers

Use the Pythagorean theorem for this. (a^2+b^2=c^2)

a=9, b=12, c=x

9^2+12^2=c^2
81 + 144 = c^2
225 = c^2
c =15

the answer is c

The value of the hypotenuse x is equal to 12 units.

What is the Pythagorean theorem?

Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Use the Pythagorean theorem for this. (a^2+b^2=c^2)

a=9, b=12, c=x

The value of x will be calculated as,

a² + b² = c²

9²+12²=x²

81 + 144 = x²

225 = x²

x =15

Therefore, the measure of x is 15 units.

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PLEASE HELP.

There is a 40% chance that you will lose $25,000 if you invest...

Answers

This is a weighted average basically take the percentages and multiply them by the amount. The total sum is the amount you will make.

0.4(-25000) + 0.25(0) + 0.35(40000)
-10000 + 0 + 14000
4000 is the expected value

Erma maintains an active blog about her seashell collection. She has 500 white shells, 325 yellow shells, 115 pink shells, and 60 green shells in her jar. She asks Sweet T to reach into her jar and randomly selects a shell. Then she replaces it and shakes up the jar before asking Sweet T to pick another shell. Which model shows the probability of a randomly selecting each color shell from her jar?

A. White 60% Pink: 10% yellow: 20% Green: 10%

B.White: 50% Pink: 11% yellow: 32.5% green: 6%

C. White: 25% Pink: 25% Yellow: 25% Green: 25%

D. White: 100% Pink: 23% Yellow: 65% Green: 12%

Answers

Answer:
B. White: 50% Pink: 11% yellow: 32.5% green: 6%
I believe there is a small typo here, as the probability of pink should be 11.5%
based on the calculations below.

Explanation:
probability of each color=number of shells of this color/total number of shells
To get it in percentage form, we will then multiply the probability by 100

We have:
number of white shells = 500 shells
number of pink shells = 115 shells
number of yellow shells = 325 shells
number of green shells = 60 shells
total number of shells = 500 + 115 + 325 + 60 = 1000 shells

Now, we will get the probability of each color as follows:
probability of white shells = (500/1000) * 100 = 50%
probability of pink shells = (115/1000) * 100 = 11.5%
probability of yellow shells = (325/1000) * 100 = 32.5%
probability of green shells = (60/1000) * 100 = 6%

Hope this helps :)

The answer is B. White 50%: Pink 11%: Yellow 32.5%: Green: 6%

If you add the number of seashells Erma has in total, it would sum up to 1000. The probability that you will pick a certain color out of all the seashells is: ((Number of seashells of a certain color)/(Total number of seashells))*100%=The probability that that color will be picked.

Anastasia had 10 buckets of mulch for her garden. If Colby used 3 2/7 buckets of Anastasia's mulch, how many buckets were left? Leave answer as a mixed number with a space between the whole number and the fraction

Answers

To answer this question you will subtract. We have a total amount of mulch that we are taking some away from. It would be 10 - 3 2/7. Here are two ways to show how to subtract.

1. Regroup the 10 whole to be able to subtract with common denominators.

10 = 9 7/7
- 3 2/7 = -3 2/7
6 5/7

or

2. Make 10 whole into an improper fraction with a denominator of 7.

10 = 10/1 = 70/7
-3 2/7 = 23/7 = -23/7
47/7
47/7 = 6 5/7

Hope this helps!!

After Colby used 3 2/7 buckets out of Anastasia's 10 buckets of mulch, Anastasia has 6 5/7 buckets left. The subtraction was performed by converting mixed numbers to improper fractions, performing the operation, and then converting back to a mixed number.

Anastasia had 10 buckets of mulch for her garden. After Colby used 3 2/7 buckets, we need to subtract that amount from the total to find out how many buckets are left. To subtract the mixed number, we can convert it into an improper fraction and then perform the subtraction.

First, convert 3 2/7 to an improper fraction:
3 2/7 = 3 x 7 + 2 which is 21/7 + 2/7 = 23/7.

Now subtract the improper fraction from the total number of buckets:
10 - 23/7
Change 10 to a fraction with a denominator of 7 to get 70/7.

Subtract the two fractions:
70/7 - 23/7 = (70 - 23) / 7 = 47/7.

Convert the improper fraction back to a mixed number:
47/7 = 6 5/7 (since 47 divided by 7 is 6 with a remainder of 5).

So, Anastasia has 6 5/7 buckets of mulch left.

Find the total cost for a $579 smartphone with 5% sales tax

Answers

To find your answer first you must convert 5% into a decimal which will be 0.05. Then you will have to multiply 0.05 by 579 which will give you 28.95. The final step is to add $28. 95 which is the sales tax to $579 which will give you $550.05.
Final cost: $550.05

Final answer:

To calculate the total cost including a 5% sales tax on a $579 smartphone, convert the tax rate to a decimal and multiply it by the price, then add the result to the original price. The total cost would be $607.95.

Explanation:

To find the total cost for a $579 smartphone with a 5% sales tax, you'll need to calculate the amount of sales tax and then add it to the original price of the smartphone. Here's how you would do that step by step:

Firstly, convert the sales tax from a percentage to a decimal by dividing by 100. For 5%, you would calculate 5 ÷ 100 = 0.05.

Next, calculate the sales tax by multiplying the original price by this decimal. You do this by calculating $579 × 0.05 = $28.95 in sales tax.

Finally, add the sales tax to the original price to find the total cost. Add the two amounts together to get $579 + $28.95 = $607.95.

So, the total cost of the smartphone including sales tax would be $607.95.

At 7:00 AM there were 14,000 gallons of water in Lance’s pool when he noticed there was a leak. After 6 hours there were only 5,000 gallons of water remaining in his pool. Write an equation that describes the number of gallons of water as a function of the time the pool has been leaking.

y = -5,000x + 14,000

y = -1,500x + 14,000

y = -9,000x + 14,000

Is it possible for a vertical line to have a negative slope?

no

yes

Answers

Answer: -5000x + 14,000 = 9000 and yes

Step-by-step explanation:

The equation is y = - 1500x + 14000, then the option B is correct. And yes, the slope of the line is negative.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more variables.

At 7:00 AM there were 14,000 gallons of water in Lance’s pool when he noticed there was a leak.

After 6 hours there were only 5,000 gallons of water remaining in his pool.

Let y be the amount of water in the pool and x be the time.

Then the coordinate will be (0, 14000) and (6, 5000)

We know that the equation of a line is given as

[tex]\rm y - y_1 = \dfrac{y_2 - y_1}{x _2 - x_1} \times (x -x_1)[/tex]

Then we have

[tex]\rm y - 14000 = \dfrac{5000 - 14000}{6 - 0} (x - 0)\\\\y = -1500x + 14000[/tex]

More about the linear system link is given below.

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HALPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

the correct answer is C

the first term of a geometric sequence is 2 and the common ratio is -3 find the fifth term

Answers

With geometric sequences, all you have to do is multiply each term by -3 until you get to the needed term.

First term: 2
Second term: 2 * -3 = -6
Third term: -6 * -3 = 18
Fourth term: 18 * -3 = -54
Fifth term: -54 * -3 = 162

The fifth term of the sequence is 162.
Hope this helped, please consider making me brainliest!

Answer:

With geometric sequences, all you have to do is multiply each term by -3 until you get to the needed term.

First term: 2

Second term: 2 * -3 = -6

Third term: -6 * -3 = 18

Fourth term: 18 * -3 = -54

Fifth term: -54 * -3 = 162

The fifth term of the sequence is 162.

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If a girl take algebra in 8 grade and she fail , she gonna retake it in 9 grade so that will be affect to the credit high school or same ? I need the answer for algebra

Answers

It wouldn’t affect it because she can make up the credit she failed in this case makeup her algebra credit this would be like a credit recovery

somebody help me!! anyone

Answers

There are:
2 rectangles with length 11 and height 7
2 rectangles with length 11 and height 6
2 rectangles with length 6 and height 7

So, their areas will be (respectively):
[tex]2(11)(7) = 154m^2[/tex]
[tex]2(11)(6) = 132m^2[/tex]
[tex]2(7)(6) = 84m^2[/tex]

Add all of them up:
[tex]154+132+84 = 370 m^2[/tex]

So, your answer is C.

What is 8,663,943,526 rounded to the nearest million? A. 8,663,000,000 B. 8,663,944,000 C. 8,664,000,000 D. 9,000,000,000

Answers

The answer is
C. 8,664,000,000

Can someone help me math homework

Answers

We fill in the following formula:
[tex] \frac{part}{total} \times 100\%[/tex]

So in this case we get
[tex] \frac{17}{20} \times 100\% = 85\%[/tex]

Therefore the answer is 85%

17 divided 20 = 0.85
85%

write the equation in standard form y+2=3/5(x + 5)

Answers

If by standard form, you mean ax+by= c, here is how to solve.

To write the equation in standard form, move each variable term to the left side of the equation and simplify.

y+2=3/5(x + 5)
y+2= (3/5*x) + (3/5*5)
y+2= 3/5x + (3*5)/5
y+2= 3/5x +15/5
y+2= 3/5x + 3
subtract 3/5x by both sides
-3/5x+y+2= 3
subtract both sides by 2
-3/5x+y=1
multiply by 5 to eliminate fraction
-3x + 5y= 5

ANSWER: -3x + 5y= 5

Hope this helps! :)

The sketch shows two parallel lines cut by a transversal. Angle 1 is 58° . What is the measure of angle 7 ?

Answers

we know that
∠1=∠5------------> by corresponding angles are congruent
so
∠5=58°

and
∠5+∠7=180----------> by supplementary angles
so
∠7=180-∠5--------> 180-58--------> 122°

the answer is ∠7=122°

Answer: 122

Step-by-step explanation: its right on imagine math (ttm)

In this right triangle what is the approximate length of the hypotenuse side AC
A) 22.5 cm
B) 3.56 cm
C) 45 cm
D) 6.71 cm

Answers

If you calculate [tex] \sqrt{45} [/tex] on the calculator you will find that it is 6.71 approximately. So the answer is D

Your answer is D hope it helps:)

Brian read 8 I/4 pages of a book in 1/6 hour at this rate what is the total number of pages of the book he will read in 1 hour

Answers

49 1/2 pages in one hour. 8 1/4 divided by 1/6 is equal to 8 1/4 * 1/6, which is
49 1/2

There were 3 apple, 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the probability that, when Jill reaches into the cooler to grab two juice boxes without replacing them, she grabs two that are grape?

1/100
1/50
1/45
1/25

Answers

i think it would possibly be d because there are 3 of the apple and 2 of the grape and 4 for the tropical one so it least has a chance... im sorry if its wrong i just started i hope i helped....

Answer:

1/45

Step-by-step explanation:

an observer on a cliff 1200 feet above sea level sights two ships due East. The angle of depression to the shops are 48° and 33°. What is the distance between the ships?

Answers

Final answer:

The problem involves using trigonometry, specifically the tangent function, to determine the distance between the two ships. By calculating the distance from the observer to each ship separately and finding the difference, we find the distance between the two ships to be approximately 814.61 feet.

Explanation:

The problem at hand involves the use of trigonometry, specifically tangent of an angle in a right triangle. Since we are dealing with angles of depression, we must understand that these angles are taken from a horizontal line - in this case, the line of sight from the cliff's edge.

First, let's consider the observer and the further away ship using tangent as follows:

tangent of 33° = height/distance, thus distance to the further ship = height / tangent of 33° = 1200 / tan(33) approximately equals to 1809.54 feet.

Similar steps for nearer ship with angle of 48 degrees:

tangent of 48° = height/distance, hence distance to the closer ship = height / tangent of 48° = 1200 / tan(48) approximately equals to 994.93 feet.

Therefore, the distance between the ships is the difference between the two distances calculated above, which will be 1809.54 - 994.93 = 814.61 feet.

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Final answer:

To determine the distance between the two ships, use the angles of depression and the observer's height above sea level to find the horizontal distances to each ship with trigonometry and subtract the smaller from the larger.

Explanation:

To calculate the distance between two ships using their angles of depression from an observer's viewpoint atop a cliff, we can employ trigonometry. Let us denote the observer's vertical distance above sea level as height (h), which is 1200 feet in this case. The angles of depression to the first and second ship are 48° and 33° respectively.

We will use the tangent of these angles to find the horizontal distances (d1 and d2) from the base of the cliff to each ship:

Using the tangent of the angle of depression 48° to find distance to first ship (d1):
tangent(48°) = opposite/adjacent or, h/d1
Thus, d1 = h / tangent(48°)Using the tangent of the angle of depression 33° to find distance to second ship (d2):
tangent(33°) = opposite/adjacent or, h/d2
Thus, d2 = h / tangent(33°)

After finding d1 and d2, we subtract the smaller distance from the larger to get the distance between the two ships:

Distance between ships = d2 - d1

Finally, we convert the answer from feet to the desired unit if necessary.

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The graph represents the height y, in feet, above the ground of a golf ball x seconds after it is hit.

Which statement is true?

Select each correct answer.

The maximum height of the golf ball occurs at x = 2.

For up to 2.5 s after the ball is hit, its height is increasing.

The maximum height of the golf ball is 100 ft.

It takes 3 s for the ball to fall to the ground after reaching its maximum height.

The golf ball is in the air for 5 s.

Answers

The answer is B. The golf ball is in the air for 5 s.

and

d. The maximum height of the golf ball is 100 ft

The correct statements are, for up to 2.5 s after the ball is hit, its height is increasing, the maximum height of the golf ball is 100 ft, the golf ball is in the air for 5 s, the correct options are B, C, and E.

What is a Graph?

Graph is a mathematical representation of relation between two objects.

The graph shows the parabolic motion of a golf ball,

Observing the graph, the statements that can be concluded are

It reaches the maximum height in 2.5 seconds.

It attains the maximum height of 100 ft.

The height of the ball is increasing for 2.5 seconds.

The height starts decreasing after 2.5 seconds.

The ball is in the air for 5 seconds

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help me.................

Answers

I think it would be letter D

A of a cylinder is
A=2 pi r(r+h) and we have r=4
96*3.14= 2*3.14*4(4+h) divide by pi
96=2*4(4+h)
96=8(4+h)
96=32+8h
96-32=8h
64=8h
h=8

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The number of taxi accidents is approximated by y equals negative 143.3 x squared plus 1823.3 x plus 6820 and the number of injuries is approximated by y equals negative 416.72 x squared plus 4416.7 x plus 8500. Let xequals0 represents​ 1990, xequals1 represents​ 1991, and so on.

Answers

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The number of taxi accidents is approximated by y equals negative 143.3 x squared plus 1823.3 x plus 6820 and the number of injuries is approximated by y equals negative 416.72 x squared plus 4416.7 x plus 8500. Let xequals0 represents 1990, xequals1 represents 1991, and so on.