You are 5 feet 4 inches tall and cast a shadow 3 feet long. At the same time, a nearby water tower casts a shadow 74 feet 3 inches long.

a. Find the height of the water tower.

a) The expression of the three sections so that the slope at the ends is zero are:S1 = Q1 + (4(Q2-Q1)-Q3+Q1)/6S2 = Q3 + (4(Q2-Q3)-Q1+Q3)/6S3 = Q3.

These sections will give us a 3rd degree Bezier curve with 3 sections by interpolating the points (-1,0), (0,1), and (1,4).There are still 2 parameters that are free: t in S1 and s in S2.

b)  The parameters t and s are 1/2.

We need to calculate the parameters t and s so that the intermediate section is a straight line. For that, we need to calculate the derivatives at Q2 and make them equal to zero. The derivatives are: S1'(t=1) = 2/3(Q2-Q1) - 1/3(Q3-Q1)S2'(s=0) = -1/3(Q3-Q1) + 2/3(Q2-Q3). We set both derivatives equal to zero and solve for t and s:S1'(t=1) = 0 ⇒ 2/3(Q2-Q1) - 1/3(Q3-Q1) = 0 ⇒ 2(Q2-Q1) = Q3-Q1 ⇒ t = 1/2S2'(s=0) = 0 ⇒ -1/3(Q3-Q1) + 2/3(Q2-Q3) = 0 ⇒ 2(Q2-Q3) = Q3-Q1 ⇒ s = 1/2.

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Answer:

180ft³

Step-by-step explanation:

We know that to find volume we do base × length × height, so just multiply 5 by 12 by 6, and you would get 360, but the pool is halfway filled, so the answer would be 180.

Answer:

$87

Step-by-step explanation:

Total bouncy balls = 120

one-half are priced at $0.25 each

1/2 of 120

= 1/2 × 120

= 120/2

= 60

Price of 1/2 = 60 × $0.25

= $15

one-fifth are priced at $0.75

1/5 of 120

= 1/5 × 120

= 120/5

= 24

Price of 1/5 = 24 × $0.75

= $18

Remaining bouncy balls = 120 - 60 - 24

= 36

Price of remaining balls = 36 × $1.50

= $54

Total value of the bouncy balls in the bin = Price of 1/2 + Price of 1/5 + Price of remaining balls

= $15 + $18 + $54

= $87

Answer:

it's 4 ^_________^ ig my answer needs to be longer

a) Hypothesis:

\(H_o: \mu = 14.8\)

\(H_a: \mu \neq 14.8\)

b) Concluding that the mean number of hours studied at your school is different from the reported 14.8 hour benchmark when in fact it is not different.

c) Concluding that the mean number of hours studied at your school is not different from the reported 14.8 hour benchmark when in fact it is different.

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Answer:

Rudy is 13 years old. Her father is 45 years old.

Step-by-step explanation:

It's very simple actually!

All you need to do is subtract 32:

58 - 32 = 26

Then divide:

26 ÷ 2 = 13

13 is Rudy's age. Let's find her father's age!

We then add 32 back to 13:

32 + 13 = 45

And there you have it!

Hope this helped!  :)

Answer:

C:no the first expression is equal to 1/25 and the second expression is equal to 625

Step-by-step explanation:

if you do  in the calculator it will give you 0.04(wich is ecual to 1/25)

and the second one is 5^3 (which is 125) *5 = 625

Answer:

it means that the speed of water was constant

Answer:

$1100

Step-by-step explanation:

First find the area of the trapezoid

A = 1/2 (b1+b2)*h

A = 1/2 ( 90+110) *44

A = 1/2(200)*44

A = 4400ft^2

The cost is .25 per square foot

4400* .25 =1100

Answer:

$1100

Step-by-step explanation:

((90 + 110)/2 * 44)) * .25 = 1100

Answer:

16m tall

Step-by-step explanation:

Distance casted by the shadow = 32m = hypotenuse

Angle of elevation = 30 degrees

Required

Height of the building = opposite

Using the SOH CAH TOA identity

sin theta = opp/hyp

sin 30 = x/32

0.5 = x/32

x = 0.5 * 32

x = 16m

Hence the building is 16m tall

Answer:

2/3

Step-by-step explanation:

Answer:

the answer is x= 8, y= 0

Answer:

5 pens = 15$ and 4 pencils = 4$

Step-by-step explanation:

7-3=4, so 4 pens is 12$

12/4 = 3, so 1 pen = 3$

Remove the pens from the equation

7x3=21

24-21=3

3/3=1, so each pencil costs 1$

4 pencils and 5 pens are worth $23.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let the cost of one pencil be x, and the cost of one pen be y.

Then we can set up the following system of equations based on the given information:

3x + 7y = 24 ...(1)

3x + 3y = 12 ...(2)

Solving these two equations, we can find that x = 2 and y = 3.

Now, we can use these values to find the cost of 4 pencils and 5 pens:

4x + 5y = 4(2) + 5(3) = 8 + 15 = $23

Therefore,

4 pencils and 5 pens are worth $23.

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Answer:

A. -1/5

B. 8 gallons

C. 75 miles driven

Step-by-step explanation:

Part A is essentially just asking for the slope, which is written as a fraction with the numerator being the number of units the line goes up/down and the denominator being the number of units the line goes left/right. Because the line is going down from left to right, the slope is negative. The slope is -1/5.

Part B can be answered by simply looking at the graph and seeing where the line is at above 175 miles, which is 8 gallons.

Part C can be answered in the same way as Part B, by looking at where the line is at when level with 12 gallons, which is 75 miles driven.

Answer:

it is a positive number because she was rising if she had been going down then the number would have become negative.

Step-by-step explanation:

Answer: im on the same question

Step-by-step explanation:

sorry

The probability is the ratio of the favorable event to the total number of events. Then the probability of the elk caught in the park being unmarked will be 92.44%.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

The total number of elk is 5,625.

The number of elk that were marked is 225.

Then the number of elk that were unmarked will be

→ 5625 - 225 = 5,200

Then the probability of the elk caught in the park being unmarked will be

\(\rm P = \dfrac{5200}{5625}\\\\P = 0.9244 \ or \ 92.44\%\)

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Answer:

Step-by-step explanation:

Yo when you get these kind of questions you can use desmos calculator, for the future.

Answer: 1 inc^3

Step-by-step explanation:

V = A^3

Where a = side

V = 1 ^3

V = 1 inch^3

Or in meteres it is 1.6387064e-5

Step-by-step explanation:

HOPE THIS HELPS IF NOT SORRYYYY !!!!!

Answer: The number is 12

Step-by-step explanation:

Let x= the number that is unknown

The sum of three and a "number"= 3+"x"

Divided by three, means that x+3 is divided by 3

Is five, means that (x+3)/3=5

Algebra:

\(\frac{x+3}{3}=5\)

Multiply by 3 to arrive at x+3=15

Subtract both sides by 3, then x=12

Answer:

48 designs

Step-by-step explanation:

Total pieces of clothes = 3

Area covered by each design on a piece of cloth = 1/16

How many types of designs can Alice embroider on the three pieces of cloth

Number of designs Alice can embroider on 3 pieces of cloth = Total pieces of cloth / area covered by each embroidery

= 3 ÷ 1/16

= 3 × 16/1

= 48

Therefore, Alice can embroidery 48 types of designs on the 3 pieces of clothes

Answer:

243, 729

Step-by-step explanation:

The pattern is to multiply the number by 3 to get to the next number

Example : 1 x 3 = 3 (second number), 3 x 3 = 9 (third number), 9 x 3 = 27 (fourth number)

Following the pattern, the next 2 numbers should be : 81 x 3 = 243, and 243 x 3 = 729

Answer:

visit a nearby farmer ask him about farming such as things to be considered, possible disease, benefits, challenges etc. prepare a short report and present

\(\displaystyle\\Answer:\ y=\frac{1}{3}x-2\)

Step-by-step explanation:

(6,0)    (9,1)

\(\displaystyle\\The\ slope=\frac{1-0}{9-6} \\\\The\ slope=\frac{1}{3}\)

(0,-2)

\(\displaystyle\\y=\frac{1}{3} x+b\\-2=\frac{1}{3}(0)+b\\ -2=0+b\\\\-2=b\\\\Thus,\\\\y=\frac{1}{3} x-2\\\\\)

Answer:

0.5

Step-by-step explanation:

Answer:

\( \frac{1}{2}x + 5\)

The volume trapped below the cone and over the semicircular disk can be calculated using the given equation z = Vx^2 + y^2 = r. The integral to evaluate the volume is ∫∫(0 to 1)(0 to 0.5 + √(7/2 - r^2))(r dr do).

To find the volume, we first need to understand the geometry of the problem. The equation z = Vx^2 + y^2 = r represents a cone with its vertex at the origin and its axis along the z-axis. The parameter V determines the slope of the cone, while r represents the radial distance from the origin. The semicircular disk lies in the xy-plane and is defined by the inequality 0 ≤ r ≤ 0.5 and 0 ≤ θ ≤ π.

To calculate the volume, we need to express the volume element in terms of the cylindrical coordinates r, θ, and z. In cylindrical coordinates, the volume element is given by dV = r dr do dz. However, in this case, since we are integrating over a semicircular disk, the range of θ is limited to π. Thus, the volume element becomes dV = r dr do dz, where r ranges from 0 to 0.5, θ ranges from 0 to π, and dz ranges from 0 to 0.5 + √(7/2 - r^2).

Now, we can set up the integral to evaluate the volume trapped below the cone and over the semicircular disk. The integral becomes ∫∫∫(0 to 1)(0 to π)(0 to 0.5 + √(7/2 - r^2))(r dr do dz). Evaluating this integral will give us the desired volume.

In conclusion, the volume trapped below the cone z = Vx^2 + y^2 = r over the semicircular disk is given by the integral ∫∫∫(0 to 1)(0 to π)(0 to 0.5 + √(7/2 - r^2))(r dr do dz), where V is the slope of the cone and r ranges from 0 to 0.5.

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Answer: -7/3

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other.

Answer:

35

Step-by-step explanation:

1,8 is 7 numbers apart 8,16 is 8 numbers apart, 16,25 is 9 numbers apart so with that information we should get 35 as the next number.

Answer:

72

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

We are given the equation 3 - 4x - 2 = 2x - 11;

\(3 - 4x - 2 = 2x - 11,\\3 - 2 = 6x - 11,\\1 = 6x - 11,\\12 = 6x,\\\\x = 2\\Conclusion, x = 2\)

If you want this explanation in a " statement reasoning " format refer to the attachment below;

Answer:

The answer is 16 feet

Step-by-step explanation:

You do 1.5 feet times 4 hours and you get 6 feet and than you add 10 and 6 and you get 16 feet after 4 hour.