The headlights of an automobile are set such that the beam drops 2.00 in. for each 28.0 ft in front of the car. What is the angle between the beam and the
Road?

1st , 3rd & 5th choices

Step-by-step explanation:

perpendicular line would have a slope that is a

negative reciprocal

so if the slope is 3 then a perpendicular line would have a slope of -1/3

y - 1 = 1/3 (x + 2)

make the line look like y = mx + b

y = 1/3 (x + 2) + 1

y = 1/3 (x + 2) + 3/3

y = 1/3x + 2/3 + 3/3

y = 1/3x + 5/3

m = 1/3

perpendicular line has a slope of

m = -3

Answer:

Step-by-step explanation:

The common ratio of the following sequence is:

If the common ratio is less than 1 or greater than -1 but not 0, we can use the following expression to determine the sum of the infinite geometric series:

Therefore, if we have a common ratio of 3/8 or 0.375 and the first term of the series is 3/2.

The sum would be:

Given the function f(x), we can write it like this:

Using the formula for polynomial derivatives, we get:

Therefore, the derivative f'(x) is 12/x^5

16 bit strings of length five either start with two zeros or end with two zeros are there; 32 bit strings of length six either do not start with two zeros or do not end with two zeros are there; 16 bit strings of length seven either start with four ones or end with four ones are there and 256

bit strings of length eight do not start with a one or do not end with a one are there.

A string is a combination which is made up of only two characters, either 1 or 0.

So, the combinations of the string can be found,

If the length of the bit string is 5, it means it will have 5 characters.

If this string either start with two zeroes or end with two zeroes. It mean there are only three positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×1×2×2×2)

= 16

16 such bit strings are possible.

If the length of the bit string is 6, it means it will have 6 characters.

If this string either do not start with two zeroes or do not end with two zeroes. It mean there are only four positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×1×2×2×2×2)

= 32

So, 32 such strings are possible.

Now, If the length of the bit string is 7, it means it will have 7 characters.

If this string either start with four ones or end with four ones. It mean there are only three positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×1×1×1×2×2×2)

= 16

So, 16 such strings are possible.

If the length of the bit string is 8, it means it will have 8 characters.

If this string either do not start with one and do not end with one. It mean there are only seven positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×2×2×2×2×2×2×2)

= 256

So, 256 such strings are possible.

To know more about Combination, visit,

https://brainly.com/question/28065038

#SPJ4

Take into account the following property:

Then, for the given expression you have:

Hence, the answer is approximately 3.322

Answer:

The percent change in attendance from the 2014 to 2015 school year is a 11.5385% decrease, or 12% when rounded.

Make sure to mark as Brainliest if this is correct so others know that this is the correct answer.

Answer:

r u cheating or just need "HELP"

Step-by-step explanation:

The two inequalities are (option c) y > x - 2 and2y + x < 4

Given,

Let's start by locating the red-hued area.

If the shadow is visible to be over the line, then the situation will be as follows:

y > ax + b

Hence the equation for the line is ax + b.

The slope is a, and the y-intercept is b.

The line in the graph intersects the y-axis at y = -2, which results in:

b = -2

Two points on the line are required to determine the slope; these points are (0, -2), and (2, 0)

We are aware of the slope for a line passing through the points (x1, y1) and (x2, y2) as follows:

a = (y2 - y1)/(x2 - x1) (x2 - x1)

The slope for this line will then be:

a = (0 - (-2))/(2 - 0) = 2/2 = 1

Then this line's equation is:

1x - 2

And here's the inequality:

y > x - 2.

The shaded area of the blue one is below the line, thus we will have:

y < ax + b

The y-intercept in this situation is y = 2.

This line crosses through the points (0, 2) and, as can be seen (4, 0)

The slope is then:

a = (0 - 2)/(4 - 0) (4 - 0) = -2/4 = -1/2

This inequality is then:

y < (-1/2)x + 2

If we rewrite this using the choices, we get the following:

y < (-1/2)x + 2

2y < -x + 2 ×2

2y + x < 4

The two inequalities are (option c) y > x - 2 and2y + x < 4

Learn more about inequalities here:

https://brainly.com/question/20343246

#SPJ1

Answer: C

Step-by-step explanation:

∠2 ≅ ∠4 and m∠2 = 110°, and proved  m<3 = 70⁰.

The answers of the blank lines are:

A . Vertically opposite angle.

B . Linear angle .

C . Hence proved  .

Given ,

∠2 ≅ ∠4 and m∠2 = 110°.

We have to prove

m<3 = 70⁰

Here ,

m<2 = m<4 => They are vertically opposite angles.

And here ,

m<3 and m<4 are supplementary angles.

m∠3 + m∠4 = 180° => linear angle .

m<4 = 110⁰  => since  m<2 = m<4

By substituting m∠4  we get,

m∠3 + m∠4 = 180°

= m∠3 + 110 = 180

= 180 - 110

m∠3 = 70°

Hence proved.

To learn more about supplementary angles refer to :

https://brainly.com/question/2046046

#SPJ13

Answer:

[tex]x = 2 \pm \frac12\sqrt7[/tex]

Step-by-step explanation:

Hello!

Expand the left-hand side of the equation:

Create the Equation:

The roots of the equation are [tex]x = 2 \pm \frac12\sqrt7[/tex]

The required solution of the expressions is (a) 7x⁵ + 13³ - 11x⁴ - x, (b) 5p² - 7p + 1.

Given that,
To arrange the like terms in columns and add them. - a) 2x³ - 7x⁴ + 7x⁵ and 11x³ - 4x⁴ – x b) -2p - 3p² and 1 - 5p + 8p²​.

The algebraic expression consists of constant and variable. eg x, y, z, etc.

Here,
(a)
= 2x³ - 7x⁴ + 7x⁵ + 11x³ - 4x⁴ – x
= 7x⁵ - 7x⁴  - 4x⁴+ 2x³ + 11x³– x
=  7x⁵ + 13³ - 11x⁴ - x,

(b)
=  -2p - 3p² +  1 - 5p + 8p²
= 1  -2p - 5p -3p² + 8p²
=  1 - 5p + 8p²​

Thus, the required solution of the expressions is (a) 7x⁵ + 13³ - 11x⁴ - x, (b) 5p² - 7p + 1.

Learn more about algebraic expression here:

https://brainly.com/question/953809

#SPJ1

The required solutions to the given polynomials are 13x³- 11x⁴+ 7x⁵  – x and - 7p + 5p²​+ 1.

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers.

The polynomials are given in the question :

2x³ - 7x⁴ + 7x⁵, and 11x³ - 4x⁴ – x

-2p - 3p² and,1 - 5p + 8p²​

According to the question,

⇒ 2x³ - 7x⁴ + 7x⁵ + 11x³ - 4x⁴ – x

Rearrange the terms and apply the arithmetic operation,

⇒ 2x³ + 11x³- 7x⁴- 4x⁴ + 7x⁵  – x

⇒ 13x³- 11x⁴+ 7x⁵  – x

⇒ -2p - 3p² + 1 - 5p + 8p²​

Rearrange the terms and apply the arithmetic operation,

⇒ -2p - 5p - 3p²  + 8p²​+ 1

⇒ - 7p + 5p²​+ 1

Thus, the required solutions to the given polynomials are 13x³- 11x⁴+ 7x⁵  – x and - 7p + 5p²​+ 1.

Learn more about the polynomials here:

brainly.com/question/11536910

#SPJ1

Using complementary angles, the numerical value of the given expression is as follows:

2.

Complementary angles are angles whose sum of the measures is of 90º.

The relevance of complementary angles in the context of this problem is that if a and b are complementary angles, then the sine of one angle is the cosine of the other angle, as follows:

sin(a) = cos(b).

Considering the angles of 40º and 50º in this problem, we have that:

Hence these following simplifications are applied:

Then the numerical value of the expression is given as follows:

1/1 + sin²(40º) + cos²(40º) = 1 + 1 = 2.

More can be learned about complementary angles at https://brainly.com/question/98924

#SPJ1

The initial velocity = vi = 6m/s

The final velocity = vf = 16 m/s

The total time = t = 20 seconds

The rate of change in velocity is called acceleration (a) that can be written as:

or

Put the values in the equation to get the value of 'a'.

or

hence, the value of a is 1/2.

Trenton’s scouting group make 15 purple T-shirts.

Suppose a number is 'a'. Suppose another number is 'b'. We want to know how much percent of 'b' is 'a'. Then, it is calculated as:

[tex]\dfrac{a}{b} \times 100[/tex]

We have been given that Trenton’s scouting group made 100 T-shirts for a charity fundraiser.

Also the angle measure of the section for purple is 54°, then;

54 / 360 = percent /100

percent = 15

Therefore, 15 percent of 100 T shirt would be;

15/100 x 100

15

Hence, Trenton’s scouting group make 15 purple T-shirts.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ1

The unit rate of gallon to mile is calculated as: 5/6 gallon per mile.

The unit rate between two variables is simply the ratio of the quantity of one variable to the quantity of the other variable, such that the the denominator of the will be equal to exactly 1.

We are given the variables gallons and miles, where 1/4 of a gallon is to 3/10 mile.

The unit rate between these two variables would be an amount of gallons per mile.

Thus, find the unit rate by dividing 1/4 by 3/10:

1/4 ÷ 3/10

= 1/4 × 10/3

= 10/12

= 5/6

The unit rate is therefore, 5/6 gallon per mile.

Learn more about unit rate on:

https://brainly.com/question/19493296

#SPJ1

Answer:

6+4,8-6, 4x2,8-2

Step-by-step explanation:

Number of terms of sequence N

Difference D = -1

Then there are here

In negative part, 70 numbers

In positive x line, 40 numbers

And add also zero

Then, ANSWER IS

N= 70 + 40 + 1

. = 111

There are 111 numbers

A figure that shows line z intersecting plane R at point M could be like:

The plane is black, the line is red and the point is blue.

Length =9 , second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.

x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

L= 4 + W

Area is 45, so

L times W = 45

substituting the value of L, we get (4+W)*W=45, after simplifying this we get

4W+W2=45

W2+4W-45=0, this is a quadratic equation and after solving this we get the factors 9 and -5

( W+9) and (W-5) = 0

we get W=-9 or W=5, since width cannot be negative, so width = 5

substituting the value of W=5 in L = 4 +5, we get length = 9

To learn more about quadratic equation refer to:

https://brainly.com/question/1214333

#SPJ1

Second-order polynomial equation in one variable, length = 9. a 0. Since it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.

A quadratic equation, or second-order polynomial equation with a single variable, is x ax2 + bx + c = 0. a 0. Since it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution. The solution might be straightforward or difficult.

L= 4 + W

Since the area is 45, L times W = 45. Substituting the value of L, we get (4+W)*W=45. Simplifying this, we get 4W+W2=45. W2+4W-45. = 0. This is a quadratic equation, and after solving it, we get the factors 9 and -5. Since width cannot be negative, we get W=-9 or W=5. Substituting the value of W=5 in L = 4 + 5,

To learn more about quadratic equation refer to:

https://brainly.com/question/1214333

#SPJ1

Answer:

5°C

Step-by-step explanation:

hope this helps, i used your formula :D

Analyze each plan according to the given specifications.

Plan A:

The basic fee must be added to the product of 0.13 and the average messages sent.

Plan B:

It already includes the cost for unlimited messages.

Plan C:

The plan costs the product of 0.28 and the average messages sent.

When comparing these plans, the cheapest one is Plan B, which only costs $53.00.

im pretty sure its B or most likeley C

Answer:

The slope is 2

Step-by-step explanation:

Take any two points on the line.  I am going to use the points (0,-8) and (4,0)  Points are in the form (x,y)  The y values form the two points is 0 and -8.  The x values are 4 and 0.

The slope is the change in y over the change in x.

[tex]\frac{0- -8}{4-0}[/tex] = [tex]\frac{8}{4}[/tex] = 2

The shaded amount can be express as a single fraction and mixed fraction below

Answer: 11

Step-by-step explanation:

[tex]A-B=\{2\}[/tex].

Since there is 1 element in this set, the answer is 1.

The solution of the equation is as follows;

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

In other words, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The expression can be solved as follows:

b / 27 = - 3

cross multiply

b = -3 × 27

b = - 81

42 = v + 35

subtract 35 from both sides of the equations.

42  - 35 = v + 35 - 35

v = 42 - 35

v = 7

- 128 = 4x

divide both sides of the equations by 4

4x / 4 = - 128 / 4

x = - 32

learn more on equation here: https://brainly.com/question/1918545

#SPJ1

Answer:

Step-by-step explanation:

1) b/27 = -3, then b = ?

→ b/27 = -3

→ b = -3 × 27

→ [ b = -81 ]

Thus, value of b is -81.

2) 42 = v + 35, then v = ?

→ v + 35 = 42

→ v = 42 - 35

→ [ v = 7 ]

Thus, value of v is 7.

3) -128 = 4x, then x = ?

→ 4x = -128

→ x = -128/4

→ [ x = -32 ]

Thus, value of x is -32.

Let's call X the cost of one bunch of roses and Y the cost of one palm.

Then, the first order was for 13 bunches of roses and 4 palms, totaling $487, so:

13X + 4Y = 487

Additionally, the second order was for 6 bunches of roses and 2 palms, totaling $232, so:

6X + 2Y = 232

Then, solving for Y on the first equation, we get:

Replacing on the second and solving for X, we get:

Then, we can replace the value of X and calculated the value of Y as:

Answer: The cost of one bunch of roses is $23 and the cost of one palm is $47

Answer:

8.5 cm

Step-by-step explanation:

See attached worksheet.

Opposite 63 is ML (we are not after that)

Adjacent is MN

Hypotenuse is 18.8

Choose adjacent + Hypotenuse to find MN

AH - CAH, cos

Cos63 = A/18.8

x18. 8

18.8 x Cos63 = A

8.535.... = A

So, MN = 8.5cm

Ans: C

Hope this helps!