The grade of a road is its slope written as a percent. A warningsign must be posted if a section of road has a grade of at least 8% and ismore than 750 feet long.a. Interpret and Apply A road rises 63 feet over a horizontal distanceof 840 feet. Should a warning sign be posted? Explain your thinking.b. Critical Thinking The grade of a section of road that stretches over ahorizontal distance of 1000 feet is 9%. How many feet does the roadrise over that distance?

Answers

Answer 1

Answer:

(a)Grade =7.5% (No warning sign is needed)

(b)Rise =90 feet

Step-by-step explanation:

[tex]\text{Slope = }\dfrac{Rise}{Run}[/tex]

(a)

Rise = 63 feet

Run (Horizontal distance) = 840 feet.

[tex]\text{Slope = }\dfrac{63}{840}=0.075\\\\$Grade=Slope \times 100 = 0.075 \times 100 = 7.5\%[/tex]

A warning sign should not be posted since its grade is less than 8%.

(b)

Grade = 9%

Run (Horizontal distance) = 1000 feet.

Recall that:

Grade = Slope X 100

[tex]9 =\dfrac{Rise}{1000} \times 100\\\\9 =\dfrac{Rise}{10}\\\\$Rise = 9 \times 10 \\$Rise=90 feet[/tex]

The road rises 90 feet over a distance of 1000 feet.


Related Questions

Can someone write these decimals in order starting with the smallest please:) 0.6, 0.64, 0.06, 0.604, 0.0604

Answers

Answer:

[tex]\boxed{0.06 < 0.0604 < 0.6 < 0.604 < 0.64}[/tex]

Step-by-step explanation:

In ascending order: (starting from the smallest)

[tex]\boxed{0.06 < 0.0604 < 0.6 < 0.604 < 0.64}[/tex]

Answer:

.0604 < .604 < .06< .64 < .6

Step-by-step explanation:

.6= 6/10

.64=.64/100

.06=6/100

.604=604/1000

.0604=604/10000

I need help with this it’s URGENT!

Answers

Answer:

y = -7

Step-by-step explanation:

A horizontal line has an equation of the form

y = b,

where b = y-intercept

The y-intercept is -7, so the equation is

y = -7

Answer:

Y=-7

Step-by-step explanation:

No matter what x equals, y has to be equal to negative 7. For example i chose 3 to by X, the equation would still be (3,-7).

which of these shapes are parallelograms choose all correct answers

Answers

Answer:

The 2 pink ones

explanation: I got this right

The two pink diagrams in the given figure are parallelograms.

What is a parallelogram?

A unique kind of parallelogram created with parallel lines is called a parallelogram.

A parallelogram can have whatever angle between its neighboring sides, but for it to be a parallelogram, it's opposite sides must be parallel. If a quadrilateral's opposite sides are parallel and congruent, it will be a parallelogram.

So a rectangle both with pairs of separate sides being parallel and equal is known as a parallelogram.

The word "parallelogram" is a translation of the Greek term "parallelogrammon," which means "confined by line segments." As a result, a quadrilateral that is surrounded by parallel lines is called a parallelogram.

To know more about Parallelogram:

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6
5
WEM
-8-8-54-2-10
2
-2
3
c
B
-5
Which of the four images was formed by a reflection of the letter M?
А

Answers

Answer:

The answer is option A.

Hope this helps you

3. Find the cost of 1 km of pipe at 7 cents for every 40 cm.

Answers

Answer:

$175.

Step-by-step explanation:

There are 100 centimeters in  meter and 1000 metres in a kilometer so we have 100,000 cm in a kilometer.

So the required cost

= 0.07 * 100,000 / 40

= 7000 / 40

= $175.

Answer:

Hello! :) The answer will be under “Explanation”

Step-by-step explanation:

As my answer I got $175

1km would equal to 100,000 cm

1m would be 100cm

That means 1 km = 100 000 cm

Now you have to divide.

100,000 divided by 40 equals to 2,500($0.07)

=$175

If we do the math correctly we can now see that the answer should be $175

Hope this helps! :)

By:BrainlyMember ^-^

Good luck!

In the diagram, how many circles are there for each square?
DA 1

Answers

Answer:

Where is the figure or picture

How many positive integers of 3 digits each can be formed with the digits 1, 8, 9, 2, 7, 6, 4, and 3, if no digit is repeated in a number? 1. 27 2. 512 3. 336

Answers

Answer:

3. [tex]336[/tex]

Step-by-step explanation:

To do this, we will use a premutation. Each number represents the possible choices per digit, respectively.

So, our product will be 8 (total choices) times 7 (total choices not including the already chosen one) times 6 (same story as previous). Multiplying this out will give us 336.

So, the answer is number 3.

Answer:

C. 336

Step-by-step explanation:

Tico’s Taco Truck is trying to determine the best price at which to sell tacos, the only item on the menu, to maximize profits. The taco truck’s owner decides to adjust the price per taco and record data on the number of tacos sold each day with each new price. When the taco truck charges $4 for a taco, it sells an average of 60 tacos in one day. With every $1 increase in the price of a taco, the number of tacos sold per day decreases by 7. The owner can calculate the daily revenue using the polynomial expression -7x2 + 32x + 240, where x is the number of $1 increases in the taco price. In this activity, you’ll interpret and manipulate this expression and the scenario it represents. Part D: What are some advantages of writing the polynomial expression -7x2 + 32x + 240 in factored form when interpreting this situation?

Answers

Answer:

The constant term is 240. It represents the initial daily revenue.

Step-by-step explanation:

It is given that Tico's Taco Truck is trying to determine the best price at which to sell tacos, the only item on the menu,  to maximize profits.

The owner can calculate the daily revenue using the polynomial  expression

where x is the number of $1 increases in the taco price.

Constant term does not contain any variable.

In the given expression 240 is free from variable x. So, the constant term is 240.

The value of expression is 240 for x=0. Since x is the number of $1 increases in the taco price, therefore 240 is the daily revenue when the taco price is not increased or the taco price increased by 0.

Therefore the constant term is 240 and it represents the initial daily revenue.

Select the correct answer. Which statement is true for the numbers 2.5 and -2.5? A. On the horizontal number line, 2.5 and -2.5 are equal and are located on the same point. B. On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero. C. On the horizontal number line, 2.5 and -2.5 are both located to the right of zero. D. On the horizontal number line, 2.5 is located to the left of zero and -2.5 is located to the right of zero.

Answers

Answer:

B

Step-by-step explanation:

On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero.

On the number line, the numbers left side of zero are all negative numbers, and the numbers right side of zero are all positive numbers.

Given that ƒ(x) = 4x + 5 and g(x) = x2 – 2x – 2, find (ƒ + g)(x).

Answers

Answer:

x² + 2x + 3

Step-by-step explanation:

(f + g)(x) = f(x) + g(x), thus

f(x) + g(x)

= 4x + 5 + x² - 2x - 2 ← collect like terms

= x² + 2x + 3

Can someone help me please

Answers

Answer: valu of a

Step-by-step explanation: I Did the test

Answer:

The value of A affects the answer.

When you make an electronic payment from your checking account, the bank __________ identifies the bank where you have an account. A:Withdrawal number b:Deposit number c:Certified number d:Routing number

Answers

Answer:

d: Routing number

Step-by-step explanation:

To understand how to get d as your answer, when you go to any bank and insert your credit/debit card, it compares the routing number to the bank and sees if you have an account at the bank.

The sum of three numbers is 84 The second number is 2 times the first. The third number is 16 less than the second. What is the second number?

Answers

Answer:

40

Step-by-step explanation:

First let x represent the first number.

Let 2x represent the second number.

Let 2x-16 represent the third number.

x + 2x + 2x-16 = 84

5x -16 = 84

5x = 84 + 16

5x = 100

Divide both sides of the equation by 5 so that x can stand alone.

[tex]\frac{5x}{5} = \frac{100}{5}[/tex]

x = 20

∴ First number = x = 20

Second number = 2x = 40

Third number = 2x - 16 = 24

Find the equation of the line passing through the point (–1, –2) and perpendicular to the line y = –1∕2x + 5. Choices are in the attachment...

Answers

Answer: D). Y = 2x
Explanation:

Hope this help

Which ordered pair is a solution if the equation? 2x + 3y = 10

Answers

Answer:

See below.

Step-by-step explanation:

Try each ordered pair in the equation. Each ordered pair is of the form (x, y). Replace x and y in the equation by values of x and y, respectively, in each ordered pair. Whichever ordered pair makes the equation a true statement is the answer.

For example:

Try (2, 3):

2x + 3y = 10

2(2) + 3(3) = 10

4 + 9 = 10

13 = 10

Since 13 = 10 is a false statement, (2, 3) is not a solution.

Try (2, 2):

2x + 3y = 10

2(2) + 3(2) = 10

4 + 6 = 10

10 = 10

Since 10 = 10 is a true statement, (2, 2) is a solution.

An insurance company models the number of warranty claims in a week on a particular product that has a Poisson distribution with mean 4. Each warranty claim results in a payment of 1 by the insurer. Calculate the expected total payment by the insurer on the warranty claims in a week.

Answers

Answer:

4 monetary units

Step-by-step explanation:

In a Poisson distribution, the expected value of the distribution is the same as the mean:

[tex]E(X)=\mu=4\ claims[/tex]

The expected number of warranty claims is 4.

Since each claim results in a payment of 1, the expected value paid by the insurer is:

[tex]E(V)=E(X)*V(X)\\E(V)=4*1 = 4[/tex]

The expected total payment on warranty claims is 4 monetary units.

A quadrilateral has its interior angles X, 47, 95, 82. Find
the value of x​

Answers

Answer:

x = 136

Step-by-step explanation:

A quadrilateral always has angles that sum to 360.  Thus, 47 + 95 + 82 + x = 360.  Subtract 47, 95, and 82 from each side and get x = 136.

Hope it helps <3

The radius of a circle is given as 10cm subject to an error of 0.2cm. the error in the area of the circle is?

Answers

Answer:

12.56 [tex]cm^2[/tex] is the error in area of circle.

Step-by-step explanation:

Given that:

Radius of the circle, r = 10 cm

Error in measurement of radius, [tex]\triangle r[/tex] = 0.2 cm

To find:

The error in area of circle = ?

Solution:

First of all, let us have a look at the percentage error in measurement of radius:

[tex]\dfrac{\triangle r}{r}\times 100 = \dfrac{0.2}{10}\times 100 = 2\%[/tex]

Now, we know that Area of a circle is given as:

[tex]A = \pi r^2[/tex]

[tex]\Rightarrow \dfrac{\triangle A}{A} \times 100 = 2 \times \dfrac{\triangle r}{r} \times 100\\\Rightarrow \dfrac{\triangle A}{A} = 4\%[/tex]

Area according to r = 10

[tex]A = 3.14\times 10^2 = 314 cm^2[/tex]

Now, error in area = 4% of 314 [tex]cm^2[/tex]

[tex]\Rightarrow \dfrac{4}{100} \times 314 = 12.56 cm^2[/tex]

So, the answer is:

12.56 [tex]cm^2[/tex] is the error in area of circle.

ASAP What is a downside of receiving a tax refund?

Answers

Answer:

You've given Uncle Sam an interest-free loan of your money for a full year. ... If you had received your expected refund incrementally as part of your pay, you could have used it to pay bills, start an emergency fund or save for something special.You are at the mercy of the IRS, which already is at the mercy of a frequently late-acting Congress when it comes to tax laws. If Congress and the IRS are slow, then so is your receipt of your refund.

marcus receives an inheritance of $13,000. he decides to invest this money in a 10-year certificate of deposit (CD) that pays 3.0% interest compounded monthly. how much money will marcus receive when he redeems the CD at the end of 10 years?

Answers

Answer:

Marcus will receive a total of $17,542.2 when he redeems the certificate of deposit (CD) at the end of 10 years

Step-by-step explanation:

Principal(p)=$13,000

Rate(r)=3.0%

Period(n)=12 months

Time(t)=10 years

A=p(1+r/n)^nt

=13,000(1+0.03/12)^12*10

=13,000(1+0.0025)^120

=13,000(1.0025)^120

=13,000(1.3494)

=17,542.2

A=$17,542.2

Marcus will receive a total of $17,542.2 when he redeems the certificate of deposit (CD) at the end of 10 years

Can somebody please help me!!

Answers

Step-by-step explanation:

Simply you replace X and Y by their values

Given: x=-1 y=-4

10 - (-X)^3 + y^2

=10 + X^3 + Y^2

Now replace X and Y

=10 + (-1)^3 + (-4)^2

=10 - 1 + 16

= 25

Amir wants to buy a $1382 Apple iPhone that is 12% off. What is 1 point
the discounted price before tax? *

Answers

Answer:

1273

Step-by-step explanation:

C) the answer on edg is C.

The answer is C.........

The avarage monthly salary of m male employees and f female employees of a company is 2000 if the avarage monthly salary of the male employees is (b+200) find the avarage monthly salary of the female employees

Answers

Answer:

[tex]Average = \frac{2000(m+f) - (b + 200)m}{f}[/tex]

Step-by-step explanation:

Given

Number of male = m

Number of female = f

Average salary = 2000

Average Salary of male = b + 200

Required

Average salary of female

Average is calculated as follows;

[tex]Average = \frac{Total\ Salary}{Staffs}[/tex]

For the whole company;

The formula becomes

[tex]2000 = \frac{Total\ Salary}{m + f}[/tex]

Multiply both sides by m + f

[tex]2000(m+f) = Total\ Salary[/tex]

The total salary is the sum of the male salary and female salary;

In other words;

Total Salary = Male Salary + Female Salary;

The above expression becomes

[tex]2000(m+f) = Male\ Salary + Female\ Salary[/tex] --------- equation 1

For the male staffs;

[tex]Average = \frac{Male\ Salary}{Male\ Staffs}[/tex]

[tex]b + 200 = \frac{Male\ Salary}{m}[/tex]

Multiply both sides by m

[tex](b+200)m = Male\ Salary[/tex]

Substitute (b + 200)m for Male Salary in equation 1

[tex]2000(m+f) = Male\ Salary + Female\ Salary[/tex]

[tex]2000(m+f) = (b + 200)m + Female\ Salary[/tex]

Subtract both sides by (b + 200)m

[tex]2000(m+f) - (b + 200)m = (b + 200)m -(b + 200)m + Female\ Salary[/tex]

[tex]2000(m+f) - (b + 200)m = Female\ Salary[/tex]

At this point, the average monthly salary of female staffs can be calculated;

[tex]Average = \frac{Female\ Salary}{Female\ Staffs}[/tex]

[tex]Average = \frac{2000(m+f) - (b + 200)m}{f}[/tex]

A football field is a rectangle 48m wide and 91m long. The coach asks players to run diagonally across the field. How far did the players run?

Answers

Answer:

102.88 m

Step-by-step explanation:

Pythagorean Theorem:

a²+b²=c²

48²+91²=c²

2304+8281=10585

c²=10585

Square both sides

c= 102.88

How far the players ran:

102.88 m

help quick plz must get this correct I will make u a brainllest

Answers

Answer:

CPCTC

Step-by-step explanation:

You already proved that triangle BAD is congruent to CAD, this means that all of the corresponding angles and sides with be congruent (CPCTC). That means BD is congruent to CD. Hope this helps!

Can someone help me please ​

Answers

Answer: y = 6

Step-by-step explanation:

A square's area can be done by using s^2, where s is y in this case.  Because there are 5 squares, the area of the figure is 5y^2.  Because the area is also 180cm, 5y^2=180.

Then divide both sides of the equation by 5 to get y^2 = 36.  Then square root both sides of the equation to get y = 6.

Hope it helps <3

A rectangle has an area of 524.4m2. One of the sides is 6.9m in length. Work out the perimeter of the rectangle. PLEASE ANSWER!!! SOON ASAP

Answers

Answer:

165.8 m

Solution,

Area of rectangle= 524.4 m^2

Length(L)= 6.9 m

Breadth(B)=?

Now,

[tex]area = length \times breadth \\ or \: 524.4 = 6.9 \times b \\ or \: 524.4 = 6.9b \\ or \: b = \frac{524.4}{6.9} \\ b = 76 \: m[/tex]

Again,

Perimeter of rectangle:

[tex]2(l + b) \\ = 2(6.9 + 76) \\ = 2 \times 82.9 \\ = 165.8 \: m[/tex]

Hope this helps...

Good luck on your assignment.....

Answer:

The perimeter of the rectangle is 165.8cm

Step-by-step explanation:

Area of a rectangle = length × width

Area = 524.4m²

length = 6.9m

524.4 = 6.9 × width

width = 524.4 / 6.9

width = 76m

Perimeter of a rectangle =

2(length ) + 2(width)

length = 6.9m

width = 76m

Perimeter = 2( 6.9) + 2(76)

= 13.8 + 152

The final answer is

= 165.8cm

Hope this helps you

g(t)=-(t-1)^2+5
Over which interval does g have an average rate of change of zero?

Answers

Answer:

(0, 2)

Step-by-step explanation:

The graph of g(t)= -(t-1)^2+5 is an inverted parabola with vertex at (1, 5).

Making a table of t and g values would be helpful here:

 t      g(t) = -(t - 1)^2 + 5

------ -----

  2     4

  0     4

 -1      1

  1      5

We're looking for an interval on which the average rate of change is zero.

Note that this is the case on the interval (2, 4); g(0) = g(2) = 4, so the change in g is 4 - 4, or zero (0).

The average rate of change of [tex]g(t)=-(t-1)^2+5[/tex] is 0 in interval [tex]-1\leq t\leq 3[/tex].

Given,

[tex]g(t)=-(t-1)^2+5\\[/tex].

We have to find the interval in which [tex]g(t)=-(t-1)^2+5\\[/tex] have an average rate of change of zero.

We know that, the function [tex]f(x)[/tex] will have average range of 0 when [tex]f(b)=f(a)[/tex].

Now we calculate g(1), g(2),g(3) and g(-1),

[tex]g(1)=-(1-1)^2+5\\g(1)=5[/tex]

[tex]g(2)=-(2-1)^2+5\\g(2)=-1+5\\g(2)=4[/tex]

[tex]g(3)=-(3-1)^2+5\\g(3)=-4+5\\g(3)=1[/tex]

[tex]g(-1)=-(-1-1)^2+5\\g(-1)=-4+5\\g(-1)=1[/tex]

Since,

[tex]g(3)=g(-1)=1[/tex]  so the function [tex]g(t)=-(t-1)^2+5\\[/tex] has an average rate of zero at [tex]-1\leq t\leq 3[/tex].

For more details follow the link:

https://brainly.com/question/2530409

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

c.) x-2

Step-by-step explanation:

Answer:

X-2

Step-by-step explanation:

Which graph represents this system? y = one-half x + 3. y = three-halves x minus 1 On a coordinate plane, a line goes through (0, 3) and (4, 5) and another goes through (0, negative 1) and (2, 2). On a coordinate plane, a line goes through (0, 3) and (1, negative 3) and another goes through (0, negative 1) and (3, 1). On a coordinate plane, a line goes through (negative 1, negative 2) and (1, 4) and another goes through (0, 1.5) and (1.5, 0). On a coordinate plane, a line goes through (negative 3, negative 3) and (0, 3) and another goes through (0, negative 1) and (3, 1).

Answers

Answer:

it is A or the first one

Step-by-step explanation:

The graph represents the system y = 1/2x + 3 and y = 3/2x - 1 is the lines and passes by (0, 3) and (4, 5), Option A.


Two equation of lines is  given y = 1/2x + 3 and y = 3/2x - 1.
A graph to be identified showing the coordinate.


What is a Line??

A line can be defined by a shortest distance between two points is called as a line.

Here, slope of equations of lines y = 1/2x + 3 and y = 3/2x - 1 are 1/2 and 3/2 and intercept is 3 and -1 now matching this with option we identified option A contains both the lines and passes by (0, 3) and (4, 5).

Thus, The graph represents the system  y = 1/2x + 3 and y = 3/2x - 1 is the lines and passes by (0, 3) and (4, 5) ,Option A.  

learn more about lines here:
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