Mathematics High School

Approximately 31,000 citizens of a country died in automobile accidents in 2015 express this toll in deaths per hour

Answers

Answer 1

Answer:

4 deaths per hour

Step-by-step explanation:

We have been given that approximately 31,000 citizens of the country died in automobile accident in 2015.

Since we know that 1 year = 365 days,

1 day = 24 hours

In one year there are total hours = 365 × 24 = 8,760 hours

Death per hour = [tex]\frac{31000}{8760}[/tex] = 3.5388 ≈ 4

Therefore, the toll in deaths per hour is approximately 4 in 2015.

Related Questions

Newton currently has a balance of $1,716.18 in an account he has held for 29 years. He opened the account with an initial deposit of $784. What is the simple interest rate on the account?

Answers

In economics, money has a time value because it has to adjust with the inflation rate of the economy. Your $1,000 will not have the same value 20 years from now. This is accounted for by the interest. There are two types of interest: the simple interest and the compounding interest.

In simple interest, the change of your money value with time is constant. The equation to be used is : F = Pit, where F is the future worth, P is the present worth, i is the effective interest rate, and t is the time. Using this equation:

$1,716.18 = $784*i*29
i = 0.07548 or 7.548%

True or false the opposite angles of a quadrilateral in a circumscribed circle are always complementary

Answers

Answer: This statement is false.

Step-by-step explanation:

False, the opposite angles of a quadrilateral in a circumscribed circle is not complementary.

As we know that the sum of opposite angles of a cyclic quadrilateral ( quadrilateral circumscribed circle ) is always supplementary.

So, Sum of opposite angles is 180° .

Hence, this statement is false.

Answer:

False

Step-by-step explanation:

We are given that

Opposite angles of a quadrilateral in a circumscribed circle are always complementary.

We have to find that this statement is true or not.

We know that

When a quadrilateral in a circumscribed circle is called cyclic quadrilateral.

We know that

Sum of opposite angles of cyclic quadrilateral is always 180 degrees.

When sum of two angle is equal to 180 degrees then , the angles are called supplementary.

Hence, the sum of opposite angles of cyclic quadrilateral is always supplementary.

Therefore, the given statement is false.

Solve for x: 8x + 10 - 5x = 15.

Answers

8x + 10 - 5x = 15
3x + 10 = 15
3x = 5
x = 5/3

hope it helps

8x+10-5x = 15

3x+10 = 15

3x = 5

x = 5/3

The top of a 15-foot ladder touches the edge of the roof of a building, and the base of the ladder is 6 feet from the building. What assumptions are made about the building and the ladder when using the Pythagorean Theorem to solve real world problems like this?

Answers

building is perpendicular to ground....ladder is straight

Find the area of a regular hexagon whose side length is 16 in. and the apothem is 8 square root 3

Answers

Area = 6 * (0.5*16*8sqrt3)

= 6 * 64 sqrt3

= 384 sqrt3 sq units
or 665.1 sq units to nearest tenth

The area of a regular hexagon is mathematically given as

A=665.1 sq units

What is the area of a regular hexagon whose side length is 16 in.?

Question Parameter(s):

a regular hexagon whose side length is 16 in.

and the apothem is 8 square root 3

Generally, the equation for the area is mathematically given as

A=(3√3)/2 *a^2

Therefore

A = 6*(0.5*16*8√3)

A= 384√3 sq units

A=665.1 sq units

In conclusion, the area of a regular hexagon

A=665.1 sq units

Answers

1st,since this GP is convergent that means the common ratio r <1
2nd, sum of a GP = a₁(1-rⁿ)/(1-r), where a₁ = 1st term and n=number of terms
3rd, for any convergent GP, r<1 and the sum of all terms =a₁/(1-r): Why?
[since r<1 → lim rⁿ when n→∞, =0 in the formula of the 2nd)]
Now let's solve :

a) Sum = a₁(1-r³)/(1-r) = 19 (sum of the first 3 terms)
b) Σ(Sum) = a₁/(1-r) = 27 (sum of all terms of this CONVERGENT GP)

Divide a) by b):

[a₁(1-r³)/(1-r)] / [a₁/(1-r)] = 19 /27 ↔ [a₁(1-r³)/(1-r)] x [(1-r)/a₁]=19/27.
Simplify:
(1-r³) = 19/27
-r³ = 19/27 - 1
r³ = 8/27

r = ∛(8/27)

r = 2/3 and a₁ = 9 (Plug r in the Σ sum)
Hence first term a₁ = 9
and common ration r =2/3

Which of the following shows the graph of a line through (-2,2) and (2,4)

Answers

You didn't include the options, but one and only one line passes through two poins.

You can find the equation of the line that passes through two known points in this way:

[Y -Y1] / [X -X1] = [Y2 - Y1] / [X2 -X1]

in this case (X1,Y1) = (-2,2) and (X2,Y2) = (2,4)

=> [Y - (2) ] / [X - (-2) ] = [4 - 2] / [2 - (-2) ]

=> [Y -2] / [X + 2] = 2/4 = 1/2

=> 2 * (Y - 2) = X + 2

=> 2Y - 4 = X + 2

=> 2Y = X + 2 + 4

=> 2y = x + 6

=> y = x/2 + 3

So you must look the graph of that equation.

Some of the points of that graph are:

x         y

-6       -6/2 + 3 = 0

-4        -4/2 + 3 = 1

-2         -2/2 + 3 = 2

0           0 + 3 = 3

2           2/2 + 3 = 4

4           4/2 + 3 = 5

So, you should find the correspondant graph easily.

Answer:

Attachment for graph.

Step-by-step explanation:

Given: (-2,2) and (2,4)

Two points are given and to find the equation of line passing through the points.

First we find the slope of the line.

[tex]\text{Slope }=\dfrac{4-2}{2+2}[/tex]

[tex]=\dfrac{1}{2}[/tex]

Point: (2,4)

using point slope form:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-4=\dfrac{1}{2}(x-2)[/tex]

[tex]y=\dfrac{1}{2}x+3[/tex]

Now, we draw the graph using two given points. Plot the points on graph and join them.

Please find the attachment for graph.

Find four consecutive positive integers such that the product of the first and fourth is four less than twice the first multiplied by the fourth.

Answers

Four consecutive integers... n, n+1, n+2, n+3.

The product of the 1st and 4th is four less than twice the 1st multiplied by the 4th.

n(n+3)=2n(n+3)-4 perform indicated multiplications...

n^2+3n=2n^2+6n-4 subtract n^2 from both sides

3n=n^2+6n-4 subtract 3n from both sides

n^2+3n-4=0 factor

n^2-n+4n-4=0

n(n-1)+4(n-1)=0

(n+4)(n-1)=0, and since n>0

n=1

So the four numbers are 1, 2, 3, 4

check...

1(4)=2(1)4-4

4=8-4

4=4

What is the equation in point-slope form of the line passing through (1, 9) and (−1, 11)?

Answers

(1,9)(-1,11)
slope = (11 - 9) / (-1 - 1) = -2/2 = -1

there can be 2 answers for this...
y - y1 = m(x - x1)
(1,9)...x1 = 1 and y1 = 9
sub
y - 9 = -(x - 1) <== here is one answer

y - y1 = m(x - x1)
(-1,11)...x1 = -1 and y1 = 11
sub
y - 11 = -(x - (-1) =
y - 11 = -(x + 1) <== here is the other answer

use the point slope formula, y-y1=m(x-x1) to find the equation of the line.
y=-x+10

A projectile is thrown upward so that it's distance above the ground after t seconds is h=-16t^2 +672t. After how many seconds does it reach its maximum height?

Answers

It will reach its maximum height at the vertex of the parabola. Which is always:

(-b/(2a), (4ac-b^2)/(4a))

So the time when this occurs is the x coordinate, or t in this case.

-b/(2a), and b=672 and a=-16 so

t=-672/-32

t=21 seconds

Answer: 21 seconds

Step-by-step explanation:

We know that a parabola with equation [tex]y=ax^2+bx+c[/tex] attains its maximum height at :-

[tex]x=\dfrac{-b}{2a}[/tex]

The given function: [tex]h=-16t^2 +672t[/tex]

It will attain its maximum height at :

[tex]t=\dfrac{-672}{2(-16)}=21[/tex]

Hence , after 21 seconds the projectile will reach its maximum height .

Which of the following shows the extraneous solution(s) to the logarithmic equation? log4 (x) + log4(x - 3) = log4 (-7x + 21)

A. x= -7
B. x= -3
C. x= 3 and x= -7
D. x=7 and x= -3

Answers

Answer: The correct option is C, i.e., x=3 and x=-7.

Explanation:

The given equation is,

[tex]log_4(x)+log_4(x-3)=log_4(-7x+21)[/tex]

Using product property of logarithm [tex]log_a(mn)=log_am+log_an[/tex]

[tex]log_4(x(x-3))=log_4(-7x+21)[/tex]

[tex]log_4(x^2-3x)=log_4(-7x+21)[/tex]

On comparing both sides,

[tex]x^2-3x=-7x+21[/tex]

[tex]x^2-3x+7x-21=0[/tex]

[tex]x^2+4x-21=0[/tex]

Using grouping method 4x can be written as (7x-3x). Because the product of 7 and -3 is equal to the constant term -21 and the addition of 7 and -3 is equal to the coefficient of x.

[tex]x^2+7x-3x-21=0[/tex]

[tex]x(x+7)-3(x+7)=0[/tex]

[tex](x-3)(x+7)=0[/tex]

Equate each factor equal to 0.

The value of x is 3 and -7. Therefore, the option C is correct.

The extraneous solutions are x=3 or x=−7.

We have the equation; log4 (x) + log4(x - 3) = log4 (-7x + 21) we can write;

log4[x(x - 3)] = log4 (-7x + 21)

log4 can be cancelled out from both sides and we have;

x^2 - 3x = -7x + 21

To have a proper quadratic equation;

x^2 + 4x -21 = 0

The solutions of the quadratic equation therefore are x=3 or x=−7.

Learn more about quadratic equations; https://brainly.com/question/4390345

There is a traffic light at the intersection of Walnut Street and Lawrence Avenue. The traffic light on Walnut Street follows a cycle. It is green for 50 seconds, yellow for 10 seconds, and red for 30 seconds. As you travel along Walnut and approach the intersection, what is the probability that the first color you see is red?

1/5

1/3

3/5

1/2

Answers

From the given above, we calculate for the total cycle time by adding up all the durations given for the yellow light, red light, and green. That is,
total time = 30 s + 10 s + 50 s = 90s
Hence, the total time is equal to 90 s. From this, we calculate for the probability that the first light that will be seen is a red light by dividing the duration of the red light in the cycle by the total time.
Probability = (30 seconds) / (90 seconds)
= 1/3

Therefore, the probability that the red light will be seen first is equal to 1/3. The answer is second choice.

Geometry please help !!

Answers

It's Concave.

If any internal angle is greater than 180° then the polygon is concave

Concave. It is possible to draw a line segment joining two interior points that goes outside the polygon.

If 1/3 of an office staff is on vacation and 1/4 of those not on vacation are out sick, what fraction of the staff is in the office

Answers

Let x be the total number of staff in the office.

Thus,

The number of staff on vacation = [tex] \frac{1}{3} x[/tex]

Since, it says that staff out sick are among those not on vacation, we have to subtract the number of staff on vacation from the total number of staff.

The number of staff out sick = [tex] \frac{1}{4} (x - \frac{1}{3}x)[/tex]

Hence,

The number of staff in the office = [tex]x - \frac{1}{3} x - \frac{1}{4} (x- \frac{1}{3} x) = (x - \frac{1}{3} x)(1 - \frac{1}{4} ) = x(1- \frac{1}{3})(1- \frac{1}{4}) = x( \frac{2}{3})( \frac{3}{4}) [/tex] [tex]= \frac{1}{4} x[/tex]

You cut a 90 cm long rope into two pieces. the longer piece is 2 times as long as the shorter piece. what is length of the longer piece and the shorter piece respectively?

Answers

Total length of rope = 90 cm

Let the shorter piece be x.

Thus, the length of the longer piece = 2x.

2x + x = 90

3x = 90

x = 30.

Therefore, the shorter piece is 30 cm and the longer piece is 60 cm.

Find the length of EF. Round to the nearest hundredth.

Answers

to find EF multiply 31 by tan(72)

31 * tan(72) = 95.4082

rounded to nearest hundredth = 95.41

10 points! I will thanks, rate, and give best answer!!

Find the 4th term if the sequend in which a 1 = 2 and a n+1 = -4a n + 2

Answers

Answer: The fourth term is -102

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

Explanation:

The term after the nth term is generated by this rule [tex]a_{n+1} = -4(a_n) + 2[/tex] which means that we first
Step 1) multiply the nth term ( [tex]a_n[/tex] ) by -4
Step 2) Add the result of step 1 to the value 2 to get the next term in the sequence

Let's follow those steps above to generate the first four terms

The first term is [tex]a_1 = 2[/tex]. In short, the first term is 2

The second term is...
[tex]a_{n+1} = -4(a_n) + 2[/tex]
[tex]a_{1+1} = -4(a_1) + 2[/tex]
[tex]a_{2} = -4(2) + 2[/tex]
[tex]a_{2} = -8 + 2[/tex]
[tex]a_{2} = -6[/tex]
So the second term is -6

The third term is...
[tex]a_{n+1} = -4(a_n) + 2[/tex]
[tex]a_{2+1} = -4(a_2) + 2[/tex]
[tex]a_{3} = -4(-6) + 2[/tex]
[tex]a_{3} = 24 + 2[/tex]
[tex]a_{3} = 26[/tex]
The third term is 26

Finally, the fourth term is...
[tex]a_{n+1} = -4(a_n) + 2[/tex]
[tex]a_{3+1} = -4(a_3) + 2[/tex]
[tex]a_{4} = -4(26) + 2[/tex]
[tex]a_{4} = -104 + 2[/tex]
[tex]a_{4} = -102[/tex]
The fourth term is -102.

ASAP!!
Shortly before a 1992 mayoral election, a local radio station conducted a Internet survey of voters. Based on the results of the survey, the magazine predicted that the Democratic candidate would beat the Republican candidate by a landslide. In fact, exactly the opposite happened. The trouble with the survey was that the radio station was a largely liberal station and few Republicans visited its Web site. This is a classic example of an error in which phase of inferential statistics?
A.Data gathering
B.Data analysis
C.Probability-based inference
D.Data organization

Answers

This is a classic example of an error in data gathering phase of inferential statistics.

What is data gathering?

Data gathering is the process of collection and measuring information on variables of interest, in an established systematic fashion that enables one to answer stated research questions, test hypotheses, and evaluate outcomes.

Learn more about data gathering here

https://brainly.com/question/17538970

#SPJ2

Solve the system of equations by substitution. x + y = x + 7y = 8

Answers

Let us start first writing the equation separately: Equation 1: x+y=8 Equation 2: x+7y=8 Let us subtract Equation 1 from Equation 2 x+y=8 -(x+7y)=8 ------------------ 0 -6y=0 6y=0 y=0 Now we have y=0, let us put this in any of the equation 1 or equation 2 Let us first put it in Equation 1 x+y=8 x+0=8---putting y value as y=0 x=8 Now Equation 2: x+7y=8 x+7(0)=8 x+0=8 x=8

Answer:

1 and 1

Step-by-step explanation:

solve the inequality -5.3≥6.7+4.3+q

Answers

remember, you can do anything to an equation as long as you do it to both sides

for inequalities, if you multiply or divide both sides by a negative number, you flip the direction of the inequality sign

-5.3≥6.7+4.3+q
add like terms
-5.3≥11+q
minus 11 both sides
-16.3≥q
q≤-16.3
das is da soltuion

-5.3 ≥6.7+4.3+q
First of all, let's combine all like terms with the side that has a variable.
So, 6.7+4.3=11. That gives us 11+q.
-5.3≥11+q
Subtract 11 on both sides.
-5.3-11≥11+q
-16.3≥q

Jennifer has been saving for college for 57 months. The first month, she saved $11. She was able to save more money each month than the month before. She ended up saving $19,779.00. How much more did she save each month? (2 points)

Answers

19779 - 57(11) = 19779 - 627 = 19152

m = 19152*2/(56*57)

m = 12

she saved $12 more every month

A quadratic equation is shown below: 4x2 − 12x + 9 = 0
Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. (5 points)
Part B: Solve 9x2 − 30x + 25 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. (5 points)

Answers

A)

The discriminant (radicand) is √(b^2-4ac), let us call this "d" for the discriminant.

If:

d<0, there are no real solutions (though there are two imaginary ones)

d=0, there is one real solution

d>0, there are two real solutions.

In this case, d=12^2-4(4)9

d=144-144

d=0

So there is one real solution.

B)

9x^2-30x+25=0

9x^2-15x-15x+25=0

3x(3x-5)-5(3x-5)=0

(3x-5)(3x-5)=0

(3x-5)^2=0

x=5/3

x=1 2/3

The initial temperature of a cup of tea is 200ºF. The surrounding temperature is 70ºF, and the value of the constant k is 0.6. Applying Newton's cooling model, the temperature of the tea after 2 hours will be ºF

Answers

Newton's cooling model is ΔT = ΔTo * e ^ (-k t)

ΔTo = 200°F - 70°F = 130°F

k = 0.6

t = 2 hours

=> ΔT = 130 * e ^ (-0.6 t) = 130 * e^ (-0.6 * 2) = 130 * e ^ (-1.2)

ΔT = 39.15°F

ΔT = T - Tenvironment => T = ΔT + Tenvironment = 39.15°F + 70°F = 109.15°F ≈ 109 °F.

Answer: T = 109 °F

Answer:

T = 109 degrees f

Step-by-step explanation:

what should be the first step in solving the equation 1.2 W -3.8 equals 12.4

Answers

1.2W - 3.8 = 12.4
1.2W = 12.4 + 3.8
1.2W = 16.2
W = 16.2 ÷ 1.2
W = 13.5

Answer:

Step 1 would be to add 3.8 on both sides.

Step-by-step explanation:

The Equation mentioned in the question is a simple Algebra Equation. We need to solve for W. To do so, we need to get the variable W alone on one side.

Initial Equation: [tex]1.2W-3.8 = 12.4[/tex]

Step 1: Add 3.8 on both sides. [tex]1.2W = 16.2[/tex]

Step 2: Divide 1.2 on both sides. [tex]W = 13.5[/tex]

This gives us the answer of W = 13.5.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Given the points A (3,2) and B (-21,0) determine:

a. the slope of line AB
b. the length of AB
c. the midpoint of AB
d. an equation of AB

Answers

A)(y2-y1)/(x2-x1)
(0-2)/(-21-3)=-2/-24=1/12
B)sqaureroot((-2)^2+(-24)^2)=squareroot(580)=2squareroot(145)
C)((x1+x2)/2,(y1+y2)/2)=(-9,1)
D)y=1/12(x+21)

What are the rules for dividing signed numbers

Answers

alright, for the guide

basically,
when you divide 2 numbers with the same sign, the result is positive
example, [tex]\frac{2}{4}=0.5[/tex] and [tex]\frac{-2}{-4}=0.5[/tex]

when you divide 2 numbers with different signs, the result is negative
example: [tex]\frac{-2}{4}=-0.5[/tex] and [tex]\frac{2}{-4}=-0.5[/tex]

Final answer:

In dividing signed numbers, the answer's sign depends on the signs of the numbers involved: same signs result in a positive answer, different signs yield a negative answer. Additionally, the final answer should have the same number of significant figures as the number with the fewest significant figures in the problem.

Explanation:

Rules for Dividing Signed Numbers

The rules for dividing signed numbers are similar to the rules for multiplication. When dividing numbers, it is important to consider both the sign of the numbers involved as well as the significant figures in the result. Here are the key rules to remember:

When two positive numbers divide, the answer has a positive sign, e.g., 6 ÷ 2 = 3.When two negative numbers divide, the answer also has a positive sign, e.g., (-6) ÷ (-2) = 3.When the numbers being divided have opposite signs, the answer has a negative sign, e.g., (-6) ÷ 2 = -3 or 6 ÷ (-2) = -3.As for the significant figures, the final answer should have the same number of significant figures as the number with the fewest significant figures before the division. For example, if you are dividing 23 by 448, limit the final reported answer to two significant figures.

Remember, when performing calculations, significant figures are important for maintaining accuracy based on the precision of the data you start with.

Find an equation of the vertical line that passes through (x, y) = (5, 11).

Answers

x=5 is the vertical line that passes through (5, 11).

which point of the following ordered pairs is represented by a point located on the y- axis
a. (1,1)
b. (-2,0)
c. (4,-4)
d. (0,3)

Answers

For a point to be on the y-axis we know that it must have x=0; that's how the y-axis is defined.

In this list only one of the choices has x=0: Point D

Need help please!!!!

Answers

I can't see the question...maybe I would be better at helping if I knew what to assist with.

;)

Please help me answer this math question.

Answers

all 3 angles in a triangle need to equal 180 degrees

62 +73 = 135 degrees are known

180-135 = 45

so angle B = 45 degrees

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