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You are hired by a state park and recreation department to determine whether it would be more economical to construct a walking bridge across a gorge or a walking path around it. The path involves walking 1170 feet, taking a 90° left turn, and walking another 520 feet. The path costs $6 per foot, and the bridge costs $11 per foot. The bridge is the preferred option when it is within $1500 of the path’s cost. Which option should you recommend? Explain. Be sure to use numbers in your explanation to support your decision.

Answer:

p = 2

q = -1

k = -1

Step-by-step explanation:

Cosine functions always start above or below 0. So, the one that starts at (0, 1) is f(x) = (p)cosx + q. Sine functions always start at 0. So, the one that starts at (0, 0) is g(x) = (k)sinx.

Using the help image attached, we know that:

p and k = amplitude (top to midline)

q = vertical shift (movement of midline)

For f(x) = (p)cosx + q:

p = 2

q = -1

For g(x) = (k)sinx:

k = -1

Hope this helps!

Let's write this verbal phrase as an inequality.

First of all, let the number be n.

"three times n" can be written like so:-

[tex]\pmb{3n}[/tex]

Now, 18 is greater than 3n:-

[tex]\pmb{18 > 3n}[/tex]

Which means 3n is less than 18:-

[tex]\bigstar{\boxed{\pmb{3n < 18}}}[/tex]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

yes!

Step-by-step explanation:

because it is 0.

if it is was 1.304, it would be more than 1 meter.

Hope this makes sense! If you have further questions, let me know!

- profparis

Step-by-step explanation:

(3y=9+3)(8x-6y=-4)

(3y=12)(8x-6y=-4)

(y=12÷3)(8x-6y=-4)

(y=4)(8x-6y=-4)

Now putting the value of y in (8x-6y=-4)

8x-6*4=-4

8x-24=-4

8x=24-4

8x=20

x=20/8

x=5/2

Answer:

D I think so

Step-by-step explanation:

HOPE IT HELPS

Answer:

C. 93 cars

Step-by-step explanation:

57 cars + 36 cars = 93 cars

Answer:

A nightlight uses 4.00 W of power when plugged into an outlet. Assume that the only resistance in the circuit is provided by the light bulb's filament. The current in the circuit is 3.40 X 10^-2 A. What is the voltage across the filament?

Step-by-step explanation:

[tex]\pink{ \rule{0pt}{99999pt}}[/tex]

Answer:

Well you divide the total of 1.95/5

.39 cent

Answer:

you would need to do 1.95/5 and that equals 39 cents so your answer would be .39

Answer:

1 page in 4 sec.

Step-by-step explanation:

To find the rate in lowest terms, divide the 14 pages by 56 seconds and find the simplest fraction.

14/56 = 1/4 in simplest terms.

This means the rate is 1 page in 4 seconds.

Answer:

D.

Thats what gauth.math said

The expected squash seed packets is its mean or average value

You should expect 47 squash seed packets in the next 94 seed packets

The given parameters are:

The expected squash seed packets is calculated as:

E(x) = x/n * N

This gives

E(x) = 22/44 * 94

Evaluate the product

E(x) = 47

Hence, you should expect 47 squash seed packets in the next 94 seed packets

Read more about expected values at:

https://brainly.com/question/15858152

Answer:

105

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

Decimal calculation steps
(1101001)₂ = (1 × 2⁶) + (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰) = (105)₁₀

Answer:

B. [0.802], [0.978]

Step-by-step explanation:

n=49

p=.89

confidence level of 95% has a z value of 1.960

z*= 1.960

z*=qnorm(1.95/2)

p+/-z* multiplied by sqrt[ P * ( 1 - P ) / n ]

p+/-z*times(√(p)(1-p)/n)

.89+/-1.960* (square root of (.89)(.11)/49))

calculatornetconfidenceintervalcalculatorhtml

mathuheducathyMath2311TestsTest2032311PT3helppdf

Answer:

56% of the guests were over 25 years old.

Step-by-step explanation:

To convert a fraction to a percentage, multiply the fraction by 100. So, 14/25 can be multiplied by 4 to get 56/100, which is the same as 56%.

Answer:

2.03 × 103 and 8.64 × 102

Step-by-step explanation:

Answer:

=> B. 3 x + 2 = 8

Step-by-step explanation:

=> 3x+2 = 8

=> 3(2) +2 = 8

=> 6+2 = 8

=> 8 = 8

gradient of L = -7/4

Explanation:

[tex]\sf gradient = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

Insert the following values.

[tex]\rightarrow \sf \dfrac{2-(-5)}{1-5}[/tex]

[tex]\rightarrow \sf \dfrac{7}{-4}[/tex]

[tex]\rightarrow \sf -\dfrac{7}{4}[/tex]

Use the slope formula:-

(the slope is the same as the gradient)

[tex]\sf{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\sf{\displaystyle\frac{2-(-5)}{1-5}}[/tex]

[tex]\sf{\displaystyle\frac{2+5}{-4} }=\frac{7}{-4} ={\boxed{-\frac{7}{4} }}\leftarrow\sf{slope~of~line~L}}}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

Regular Hexagon

Step-by-step explanation:

There are six sides and all sides are equal

Answer:1,504

Step-by-step explanation:

20x16=320

20x12=240

16x12=192

16x20=320

12x16=192

12x20=240

add them all the answer will be 1,504

If you graph y=7x-9 and y=3x-1 the two lines will intersect at one point.  That is how you graphically "solve" the system of equations.

Both of these lines are of the form y=mx+b where m is the slope and b is the y-intercept.

So for y=7x-9, the slope is 7 and the y-intercept is -9

For  y=3x-1, the slope is 3 and the y-intercept is -1

....

The solution for this system occurs when both coordinates are equal to each other so we can say:

7x-9=3x-1  subtract 3x from both sides

4x-9=-1  add 9 to both sides

4x=8  divide both sides by 4

x=2, making y=3x-1 become:

y=3(2)-1=6-1=5, so the solution to the system of equations is:

(2,5)

Answer:

Part A: If you graph the pair of equations shown above both lines will intersect at one point and that is how you would solve the system of equations graphically. The y intercept and slope for each equation would be for y = 7x − 9 it would have a slope of 7 and y intercept of -9 and y = 3x − 1 would have a slope of 3 and y intercept of -1.

Part B:The solution to the pair of equations is (2,5)

Answer:

8 drops of blue

Step-by-step explanation:

You doubled the yellow from 2 drops to four

  so double the blue from 4 to 8

Answer:

b = 0.62

Step-by-step explanation:

Hello!

We can look at the y-values of the function to find our multiplier. A multiplier will determine if the graph decays or grows in an exponential function, and by how much.

When x is 0, we can see the y-value is around 3, but as x approaches 1, the y-value comes to around 2.

We can find the multiplier by dividing the current term by the previous term.

This number is closest to 0.62, so the approximation is 0.62.

2/3

0.6666..

Approximation is 0.62 (b)

Hope this helped! Stay healthy!♡

Answer:

2

Step-by-step explanation:

Answer:

The correct answer is D.

4, 5, and 7

1, 3, and 8

2, 4, and 7.

Hope this helps you czn!!!!!

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Answer: the correct answer is d .

4,5 and 7

1,3 and 8

2,4 and 7

Step-by-step explanation: I HOPE IT HELPS YOU BUDDY . PLEASE GIVE BRAINLIEST .THANKS .

Answer:

7 1/5

Step-by-step explanation:

12x3/5=36/5.

The solution is, 12•3/5 = 7 1/5 , expressed as a mixed number.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

we have to Multiply 12•3/5

i.e. 12 * 3 /5

= (12*3 )/5

=36/5

now, as we have to express it as a mixed number,

we get,

36/5 = 7 1/5

Hence, The solution is, 12•3/5 = 7 1/5 , expressed as a mixed number.

To learn more on multiplication click:

brainly.com/question/5992872

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