A pipe extends from sea level to a location under the sea. Four-fifths of the way down the pipe, there is a leak. The leak's elevation is −3.6 meters. What is the elevation of the end of the pipe that is under the sea? Enter your answer as a decimal or as a mixed number in simplest form in the box.

a hexagon has 6 interior angles

the sum of the interior angles in a hexagon= 720

720/6=120

one interior angle in a hexagon = 120

For your first answer it is because they are two different ways to solve the equation

For Example!

(x-4)² – 28 = 8The 8 is positive making it a different equation (this is like absolute value). (I am assuming you know the answer to the probelm)

(x-4)² – 28 = -8

The 8 could be negative meaning that when you add the 28 to the right side it is -8+28 which will be a negative!

Answer:

This is because it is a quadratic equation.

It can therefore be solved using either factorization method or completing of squares method.

the factorization method has been worked above.

_________

\( \: \)

2½m = 2.5 × 100 = 250cm

Soo :

\( \longmapsto\frac{3}{1 \cancel0} \times 25 \cancel0\)

\( \longmapsto3 \times 25\)

\( \longmapsto \bold{75cm}\)

The equation of the plane that passes through the line of intersection of the two planes and passes through the point (3,-1,2) is x - 2y + 7z - 17 = 0  .

The Plane we want to find passes through the line of intersection of the planes, so it is perpendicular to the normal vectors of both planes.

The Normal Vector of the plane 2x - 3y - z + 1 = 0 is (2, -3, -1), and

the normal vector of the plane 3x + 5y - 4z + 2 = 0 is (3, 5, -4).

The cross product of these two vectors gives a vector which is perpendicular to both of them, and

hence , it lies along the line of intersection of the two planes:

the cross product of (2, -3, -1) x (3, 5, -4) is  = (-7, -2, 1)  ;

The vector (-7, -2, 1) is the direction vector of the line of intersection.

Now to find the equation of the plane that passes through the point (3, -1, 2) and is perpendicular to this direction vector.

we let , equation of the plane be ax + by + cz + d = 0. We know that the point (3, -1, 2) lies on the plane, so we have:

⇒ a(3) + b(-1) + c(2) + d = 0  ;

⇒ 3a - b + 2c + d = 0  ;

We also know that the plane is perpendicular to the direction vector (-7, -2, 1), so we have:

⇒ a(-7) + b(-2) + c(1) = 0  ;

⇒ -7a - 2b + c = 0  ;

Let  say a = 1. Then we have :

⇒ a = 1

⇒ -7a - 2b + c = 0

⇒ 3a - b + 2c + d = 0

Substituting a = 1 into the first equation gives:

⇒ -7 - 2b + c = 0  ;

Solving for c in terms of b gives:

⇒ c = 2b + 7

Simplifying ,

we get ;

⇒ 3 - b + 2(2b + 7) + d = 0  ;

Solving for d in terms of b gives:   ⇒ d = -2b - 17  ;

Therefore, the equation of the plane is x - 2y + 7z - 17 = 0 .

Learn more about Equation Of Plane here

https://brainly.com/question/27190150

#SPJ4

let the time taken to be filled by both pipes be y

1/2 +1/8=1/y

(4+1)/8=1/y

5/8=y

cross multiplying

5y=8

y=8/5

=1.6hrs

Answer:

\(R_5=1.12\)

Step-by-step explanation:

We want to calculate the right-endpoint approximation (the right Riemann sum) for the function:

\(f(x)=x^2+x\)

On the interval [-1, 1] using five equal rectangles.

Find the width of each rectangle:

\(\displaystyle \Delta x=\frac{1-(-1)}{5}=\frac{2}{5}\)

List the x-coordinates starting with -1 and ending with 1 with increments of 2/5:

-1, -3/5, -1/5, 1/5, 3/5, 1.

Since we are find the right-hand approximation, we use the five coordinates on the right.

Evaluate the function for each value. This is shown in the table below.

Each area of each rectangle is its area (the y-value) times its width, which is a constant 2/5. Hence, the approximation for the area under the curve of the function f(x) over the interval [-1, 1] using five equal rectangles is:

\(\displaystyle R_5=\frac{2}{5}\left(-0.24+-0.16+0.24+0.96+2)= 1.12\)

Answer:

57 pisquets

Step-by-step explanation:

Ratio of pisquets:vreels = 10:7

Ratio on Frank's rew farm: x:40

since ratios are equivalent, you'd so the same on both sides. To get from 7 to 40 u multiply by a number, so to get from 10 to x u have to multiply by that same number. To find this number, divide 40 by 7: 40/7 = 5.7

Then, multiply this by 10: 5.7 x 10 = 57

there are roughly 57 pisquets on his farm.

hope this helps!

Answer:

x = 15

Step-by-step explanation:

Since WY = WZ, angle Y = angle Z = 2x

angle W = 90 degrees, so

90 + 3x + 3x = 180

6x = 180 - 90 = 90

x = 90/6 = 15

Answer:

the person above me is correct do the math

Answer:

The answer is 7/9

Step-by-step explanation:

Had this on my quiz one time

Answer:

7-9

Step-by-step explanation:

To solve the expression 1 - (1 + 0.04/12)^(-12x10), you can follow these steps: Step 1: Simplify the exponent. In this case, -12x10 simplifies to -120.

Step 2: Evaluate the term within the parentheses first. 0.04/12 simplifies to 0.0033333 (approximately).

Step 3: Add 1 to 0.0033333 to get 1.0033333.

Step 4: Raise 1.0033333 to the power of -120.

Step 5: Calculate the value inside the parentheses using a calculator or software. The result is approximately 0.742657.

Step 6: Subtract the value obtained in Step 5 from 1.

1 - 0.742657 = 0.257343 (approximately).

Hence, the value of the expression 1 - (1 + 0.04/12)^(-12x10) is approximately 0.257343.

It's important to follow the order of operations (PEMDAS/BODMAS) when solving mathematical expressions. In this case, the exponent is evaluated first, followed by addition and subtraction. Utilizing a calculator or software that supports exponentiation and parentheses can help simplify complex expressions and obtain accurate results efficiently.

For more such questions on exponent.

https://brainly.com/question/13669161

#SPJ8

Answer:

0.924

Step-by-step explanation:

Answer:

0.924

Step-by-step explanation:

Just times them together. By the way, you can search them up.

Answer:

Step-by-step explanation:

The value of B, the area of the base, is 1,540 m^2.

Value is the relative worth, merit, or importance of something. It can refer to an intangible concept such as a person's principles or a tangible object such as a rare coin. Values vary widely across cultures, societies, and individuals, and can even vary within the same individual over time. Value is often used to describe the worth of something in terms of its usefulness, beauty, or desirability. Value can also refer to the moral or ethical standards of a person or group.

The area of the base can be found by using the formula A = V/h where A is the area of the base, V is the volume, and h is the height. In this case, A = 26,214 / 17 = 1,540 m^2. Therefore, the value of B, the area of the base, is 1,540 m^2.

To know more about value click-
https://brainly.com/question/843074
#SPJ1

Answer:

100, 25, 50

Step-by-step explanation:

\(700: \frac{700}{700} \times 100=100 \\ \\ 175: \frac{175}{700} \times 100=25 \\ \\ 350: \frac{350}{700} \times 100=50\)

Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Answer:

\(y=-\frac{5}{7}+5\)

Step-by-step explanation:

the goal is to isolate y on one side

5x+7y=35

-5x.     -5x

7y=35-5x

/7. /7.  /7

y=-5/7x+5

Hopes this helps please mark brainliest

Without additional details, we cannot determine the number of two-dozen tulip arrangements the florist should expect to sell with the anticipated 4,600 more customers.

To determine the number of two-dozen tulip arrangements the florist should expect to sell if they anticipate 4,600 more customers, we need to examine the given results and make a reasonable assumption based on the available information.

Unfortunately, the given results or information regarding the number of tulip arrangements sold or the relationship between customers and sales are not provided. Without this data, it is not possible to accurately estimate the number of arrangements that will be sold with an additional 4,600 customers.

To make an accurate prediction, we would need more information such as the average number of tulip arrangements sold per customer or any patterns or trends observed in the sales data.

For more such questions on customers.

https://brainly.com/question/30719041

#SPJ8

Answer:

62 in

Step-by-step explanation:

5 x 2 = 10

5 x 3 = 15

2 x 3 = 6

2 x 3 = 6

2 x 5 = 10

3 x 5 = 15

Answer:

y = mx + b

m =(-2--4)/(-6--7)

m = 2

-2 = 2(-6) +b

b = 10

y= 2x + 10

The given equivalent function is g(x)=(x+9)(x-2). Therefore, option B is the correct answer.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is g(x)=x²+7x-18

Now, g(x)=x²+9x-2x-18

g(x)=x(x+9)-2(x+9)

g(x)=(x+9)(x-2)

Therefore, option B is the correct answer.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

Answer:

LCM mean least common multiple

Step-by-step explanation:

The red sticks in a pack of 8 so, to get 24 red sticks, Harold needs = 3 packs. The blue sticks come in a pack of 12 to get 24 blue sticks, Harold need = 2 pack

Answer:

the LCM represents the minimum number of sticks of each color that Harold would have to buy to have the same number of blue sticks and red sticks.

The red sticks come in packs of 8. So, to get 24 red sticks Harold need 3 packs.

The blue sticks come in packs of 12, so to get to 12 blue sticks Harold needs 2 packs.

in conclusion Harold should purchase 3 packs of red sticks and 2 packs of blue sticks.

hope this helped ^^

Answer: 2. 204

3. 370

4. 140

5. 4

6. 48

7. 251

8. 16

9. 629

10. 2

11. 170

12. 97

13. 180

Step-by-step explanation:

The table for the function y = 3x + 1 is completed below.

In mathematics, a function is a relationship between two sets of values, where each input value from the first set is paired with exactly one output value from the second set. The input values are called the domain of the function, while the output values are called the range of the function.

Functions can be represented using mathematical notation, typically using the function name followed by the input variable in parentheses, such as f(x) or g(t). The output of the function is then given by the value of the expression on the right-hand side of the equation.

To compute the table for the function y = 3x + 1, we need to substitute different values of x and evaluate the corresponding values of y.

x             y = 3x + 1       Ordered Pair

0            3(0) + 1 = 1      (0, 1)

1             3(1) + 1 = 4      (1, 4)

2            3(2) + 1 = 7     (2, 7)

3            3(3) + 1 = 10    (3, 10)

-1            3(-1) + 1 = -2    (-1, -2)

Therefore, the completed table and ordered pairs are:

x                  y = 3x + 1           Ordered Pair

0                       1                    (0, 1)

1                        4                   (1, 4)

2                       7                   (2, 7)

3                       10                 (3, 10)

-1                      -2                  (-1, -2)

To know more about equation visit:

https://brainly.com/question/12788590

#SPJ1

Answer:

$23.45

Step-by-step explanation:

5.79 x 2.25 = 13.03

5.79 x 1.8 = 10.42

total = 23.45

The answer is the first option.

The function of the cosine of the angle θ is correct. Then the correct option is D.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

It is a function that repeats itself in a particular time interval.

The graph of the sine of the angle θ is drawn below.

If the sine of the angle θ is shifted rightward by π units. Then the graph is obtained.

And if the cosine of the angle θ is shifted leftward by π units. Then the graph can also be obtained.

But the function of the cosine of the angle θ is correct. Then the correct option is D.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ2

Answer:

x=9

Step-by-step explanation:

Hope this helps! Plz give brainliest!

Hey there!

(4x) + 81 + 5x + 18 = 180

4x + 81 + 5x + 18 = 180

9x + 99 = 180

ADD 99 to BOTH SIDES

9x + 99 - 99 = 180 - 99

CANCEL out: 99 - 99 because that gives you 0

KEEP: 180 - 99 because that helps solve for the x-value

NEW equation: 9x = 81x

DIVIDE 9 to BOTH SIDES

9x/9 = 81/9

CANCEL out: 9/9 because that gives you 1

KEEP: 81/9 because that gives you the value of x

New equation(s): x = 81/9 or 81/9 = x

Simplify the new equation(s) and you have the x-value.

If you solved correctly you should have came with the x-value being 9

x = 9

Therefore, your answer is: x = 9

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The amount of cups of lemonade sold by Abbie is 6 x 8 = a.

Hence, option A is correct.

Use the concept of multiplication defined as:

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that,

Number of lemonade cups sold by Lust = 8

Number of lemonade cups sold by Abbie =  6 times of lust

Let 'a' represents the number of cups sold by Abbie,

Therefore,

6 x 8 = a

Hence,

The correct expression is 6 x 8 = a which is option A.

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ3

The complete question is:

Luct sold 8 cups of lemonade Abbie sold 6 times as many cups of lemonade. Which equation helps us find how many cups Abbie sold if the number of cups sold by Abbie is 'a'.

A. 6x8 = a

B. 8xa = 6

C. 6xa = 8

The perimeter of the shape is 10 inches.

It's important to note that the perimeter of a shape or calculated by adding all the sides together.

In this case, this is a rectangle and the perimeter will be:

Perimeter = 2(length + width)

Length = 4 inches

Width = 1 inch

Perimeter = 2(length + width)

Perimeter = 2(4 + 1)

Perimeter = 10 inches.

Learn more about perimeter on:

brainly.com/question/19819849

#SPJ1

Answer:

x=12,y=3

Step-by-step explanation:

x/6-y/3=1

x can equal 12 because 12/6 is equal to 2.

y can equal 3 because 3/3 equals 1

2-1=1

Answer:

Step-by-step explanation:

GIVEN:    dx / dt=5 in./min.  and  dy/ dt=−6 in./min.

FIND:    dz/ dt when x=12 in. and y=9 in.

Use the Pythagorean Theorem to get the equation

x2+y2=z2

Now differentiate this equation with repect to time t getting

D{x2+y2}=D{z2}   ⟶

2xdxdt+2ydydt=2zdzdt   ⟶  

(Multiply both sides of the equation by 1/2.)

x dx/ dt+y dy/ dt= z dz/ dt              (DE)

Now let x=12 and y=9 and solve for z using the Pythagorean Theorem.

tex2html_wrap_inline125

122+92=z2   ⟶   z2=225   ⟶   z=15

Plug in all given rates and values to the equation (DE) getting

(12)(5)+(9)(−6)=(15)dz/ dt   ⟶

6=15dzdt   ⟶

dz/ dt=615=25 in/min.

Hope this answer helps you :)

Have a great day

Mark brainliest