The graph below displays the relationship between the age of drivers and the number of car accidents per hundred drivers in the year 2009

Answer:

A polygon is a pentagon if and only if it has five sides."If this statement is true, then which of the follow… Get the ... The given statement is of the form

Step-by-step explanation:

hope it helps you

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Answer:

D.  If it is a pentagon, then it has five sides. If the polygon has five sides, then it is a pentagon

Step-by-step explanation:

Given statements;

      A polygon is a pentagon if and only if it has five sides.

Therefore, this bi-conditional statement is premised on two "if"s,

    If it is a pentagon then we are dealing with a body with 5 sides.

   And if such body has five sides, it is a polygon called pentagon

The correct option is D

Choice A, B and C are logically flawed.

A.  If it is a pentagon, then it has five sides. If it is a polygon, then it is a pentagon.

The emboldened part we do not know.

B.  If it is a pentagon, then it is a polygon. If it is a polygon, then it is a pentagon

 The emboldened part is flawed.

C. If it is a pentagon, then it is a polygon. If it is a polygon, then it has five sides.

We do not know if all pentagons have 5 sides.

Answer:

The correct value of x will be "[tex]-\frac{19}{16}[/tex]". The further explanation is given below.

Step-by-step explanation:

The given equation is:

⇒  [tex]7x + 21 + 9x = 2[/tex]

⇒        [tex]16x+21=2[/tex]

On subtracting "21" from both sides, we get

⇒  [tex]16x+21-21=2-21[/tex]

⇒                [tex]16x=-19[/tex]

⇒                   [tex]x=-\frac{19}{16}[/tex]

Answer:

ratio bozo

Step-by-step explanation:

Answer:

x=-14

Step-by-step explanation:

Multiply each term in  − x = 14  by  − 1

Answer:

-14

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

the x-intercept is where the line of the slope crosses the x-axis

hope this helps :3

if it did pls mark brainliest

Answer:

0.5s

Step-by-step explanation:

Answer:

68 kg

Step-by-step explanation:

Answer:

Step-by-step explanation:

90 - 28  = 62  is the measure of 28° supplementary angle

Answer:

its 152

Step-by-step explanation:

Answer

3/2

Step-by-step explanation:

(y2-y1)/(x2-x1)=(-4-5)/(-2-4)=-9/-6=3/2

Answer:

The answers D on Edg

Step-by-step explanation:

Just finished the test

The distance of the ship from the beginning  is 226.48 miles far apart.

A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.

For the given situation,

The diagram below shows the travelling of ship from A to C.

Let sides a = 30 miles, c = 200 miles,

The measure of angle B is [tex]\angle CBA = 180-30[/tex]   [∵ Supplementary angle]

⇒ [tex]\angle CBA = 150[/tex]

Here two sides and one angle of triangle are provided.

The other side of the triangle, that is the distance traveled by the ship can be found by using the law of cosines.

The formula of law of cosines,

[tex]b = \sqrt{a^{2}+c^{2}-2ac (cosB ) }[/tex]

On substituting the values,

⇒ [tex]b = \sqrt{30^{2}+200^{2}-2(30)(200) (cos150 ) }[/tex]

⇒ [tex]b = \sqrt{900+40000-12000(-0.8660 ) }[/tex]

⇒ [tex]b = \sqrt{40900+10392 }[/tex]

⇒ [tex]b = \sqrt{51292}[/tex]

⇒ [tex]b=226.477[/tex] ≈ [tex]226.48[/tex]

Hence we can conclude that the distance of the ship from the beginning  is 226.48 miles far apart.

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Answer:

The unit price per cup of blue paint would be $8

Step-by-step explanation:

because 6x8=48 soo each cup would be 8 dollars. 

Answer:

m = 1

Step-by-step explanation:

Use the given points to solve the slope formula.

(-2, 12) (-6, 8)

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

m is the slope, x is the first number in the given point, and y is the second. (It doesn't matter which point you choose to be x1,y1 or x2,y2)

[tex]m=\frac{8-12}{-6-(-2)}[/tex]  (subtracting negative cancels out and becomes adding a positive)

[tex]m=\frac{-4}{-4}[/tex] (the negatives cancel out and become positive)

m = 1

Answer:

x=-2

Step-by-step explanation:

hope this helps

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Answer:

-1

Step-by-step explanation:

-x + 2 = x+4

-x-x = 4-2

-2x = 2

x= 2/-2

x= -1

hope it will help......

Step-by-step explanation:

1) we would have the expectation that b₅ < 0 because b₅ shows how salary responds to law school ranking. As the rank of law school increases then median starting salary for new law school graduates declines. there is an inverse relation between salary and rank, Coefficient of rank, b5 will be negative since it is less than 0

ii) B₁ is going to be positive because as median LSAT score for the graduating class goes up, so does the salary of graduates. we have B1 >0

B₂ will be positive as college median GPA rises, so does graduate salary.

B₃ will be positive because if the more volumes of book in library, the greater possibility of getting higher salary, so B₃ >0.

B₄ >0 as if annual cost is high , then there would be indictaes more facilities of learning for students, leading to more chances of high salaries , hence B4 >0.

B5<0 this has been explained in 1.

iii) predicted ceteris paribus difference in salary for schools with a median GPA different by one point

= coefficient of GPA

=0.248

= this 24.8% in percentages B₂ tells us that when other factors are held constant,increasing median gpa by 1 would cause 24.8 percent increase in salary predicted.

iv)holding other variable factors constant, increasing the volume in the law library would bring about predicted salary increase by 0.095%

v) due to the inverse relationship between rank of law school and salary, it is better to attend a law school with lower rank than that with higher rank

difference in ranking of 20 = 20*(-0.0033)

= -0.066  x 100

= -6.6%

if rank is lower by 20 units , then we will have salary to be 6.6% higher

Answer:

t= 180/313 or 0.57507987

Answer:

-6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

sea level is 0 and below sea level would have to be a negative and you would takr the number of feet below sea level and that would be your answer in this case its -6

Answer:

6÷2 1/3

Step-by-step explanation:

Answer: D

I believe :0

The table which represents a linear function is table 4.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

The tables in the question

Now,

The table that represents a linear function is:

X   Y

1   3

2   7

3   11

4   15

The reason this is a linear function is that for each increase in the input value of X by 1, the output value of Y increases by a constant amount of 4. In other words, the rate of change of Y with respect to X is constant at 4, indicating a linear relationship between the two variables.

Therefore, the answer of the function will be table 4.

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Answer:

law of contrapositive

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

We know that x > 2  that means the line at x = 2 is dotted since there is no equals sign

We shade to the right since x is greater

Answer:

sea below

Step-by-step explanation:

(a) h(t) is quadratic, so we can complete the square to write

h(t) = 100 + 40 t - 5 t²

h(t) = 100 - 5 (t² - 8 t)

h(t) = 100 - 5 (t² - 8 t + 16 - 16)

h(t) = 100 + 80 - 5 (t² - 8 t + 16)

h(t) = 180 - 5 (t - 4)²

The squared quantity is always non-negative, which means h(t) has a maximum value of 180 m.

(b) First, find when the projectile hits the ground, which happens when h(t) = 0:

0 = 180 - 5 (t - 4)²

180 = 5 (t - 4)²

36 = (t - 4)²

± 6 = t - 4

t = -2   OR   t = 10

Omit the negative solution. The velocity of the ball at t = 10 s is equal to the derivative at the point, h' (10).

[tex]h'(10)=\displaystyle\lim_{t\to10}\frac{h(t)-h(10)}{t-10}[/tex]

[tex]h'(10)=\displaystyle\lim_{t\to10}\frac{(180-5(t-4)^2)-80}{t-10}[/tex]

[tex]h'(10)=\displaystyle\lim_{t\to10}\frac{100+40t-5t^2}{t-10}[/tex]

[tex]h'(10)=\displaystyle-5\lim_{t\to10}\frac{(t+2)(t-10)}{t-10}[/tex]

[tex]h'(10)=\displaystyle-5\lim_{t\to10}(t+2)=-60[/tex]

So the projectile has a downward velocity of 60 m/s at the moment it touches the ground.

Hello!

Find the maximum height by finding the maximum of the function, where the derivative switches from positive to negative. Find the derivative of the equation:

h(t) = 100 +40t -5t²

Power rule:

h'(t) = 40 - 10t

Set the equation equal to 0:

0 = 40 - 10t

-40 = -10t

t = 4

Test values on both sides of 4 to ensure that there is a maximum at this x value:

40 - 10(3) = 10

40 - 10(5) = -10

Therefore, the derivative switches from positive to negative. There is a maximum at t = 4. Find the height by plugging in this value for time into the original equation:

h(4) = 100 + 40(4) - 5(4)²

h(4) = 100 + 160 - 80

h(4) = 180 meters

Find the velocity when it hits the ground. Begin by finding the time necessary for the object to hit the ground:

0 = 100 + 40t - 5t²

Rearrange and factor:

0 = -5t² + 40t + 100

0 = (5t + 10)(-t + 10)

Set each factor equal to 0:

5t + 10 = 0

t = -2

-t + 10 = 0

t = 10

Therefore, the object takes 10 seconds to reach the ground. Plug this into the derivative of the equation (solved for earlier), which is the velocity:

h'(t) = 40 - 10t

h'(10) = 40 - 10(10)

h'(1) = -60 m/s. This is the *downward* velocity when the object hits the ground.

Answer:

I think I already gave the answers to you on your previous question to find the value of y. I gave the x and y answers.

Step-by-step explanation:

x = 98

Answer:

                                   0.32608696

Step-by-step explanation:

Answer:

Manual painter, expected waiting time = 0.085

Automatic painter expected waiting time = 0.031

Step-by-step explanation:

See attachment

Answer:

Step-by-step explanation:

The answer ( depending on what you're asking ) either fraction or decimal is this:

Decimal: -0.25

Fraction: -1/4

Hope this helps! <3

Answer:

Your answer is - 1/4

Step-by-step explanation:

I'm the best at math my grade is 100 so believe me

Answer:

C

Step-by-step explanation:

y-intercept is 3 down and slope is the same