A scuba diver is at an elevation of 53 feet below sea level. A hiker is at an elevation of 228 feet above sea level. What is the difference in elevation between the scuba diver and the hiker?

9514 1404 393

Answer:

  45 chocolate donuts

Step-by-step explanation:

The fraction that are chocolate doughnuts can be determined from the ratio to be ...

  chocolate / total = 3 / (5 +3) = 3/8

Then the number of chocolate doughnuts is ...

  chocolate = 3/8 × total = (3/8) × (120) = 45

45 chocolate doughnuts will be served.

Given:

The angle is 342.

Explanation:

The angle 342 degree lies in fourth quadrant. So reference agle for 342 degre angles is,

So answer is 18 degrees.

Step-by-step explanation:

Step

\(x = - \frac{8}{11} \)

1:Expand

\(−3x−6=5x+5\)

Step 2:Add both sides 3x

\(−6=5x+5+3x\)

Step 3:Subtract 5 from both sides.

\(−6−5=8x

\)

Step 4:Simplify -6-5−6−5 to -11−11.

\(−11=8x

\)

Step 5:Divide both sides by 88.

\(x=− \frac{8}{11}

\)

I hope it helps you!!!

Answer:

$29.40

Step-by-step explanation:

29.40 dollars as 100 - the sum of the cost = 29.4

Answer:

y=4x-16

Step-by-step explanation:

We want to find the equation of the line in the form y=mx+c, where m is the slope and c is the y-intercept.

If the lines are parallel, their slopes will be the same. The slope of y=4x+1 is 4.

Our equation is now y=4x+c. Sub in point P to get c:

4=4(5)+c

4=20+c

c=-16

Therefore our equation is y=4x-16

The degree of the polynomial that best describes the data is (c) cubic

From the question, we have the following parameters that can be used in our computation:

See attachment

Find the first dfference D1 between the consecutive y-values

D1:   10     28.4     56.4    94

Calculate the second difference

D1:   18.4     28     37.6

Calculate the third difference

D3:   9.6     9.6

The third difference are equal

Hence, the degree is (c) cubic

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Answer:

270a^2b^2

Step-by-step explanation:

Answer:

25-1=24

2*24=48

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Answer:

(C.) d= sqrt (x2-x1)^2+(y2-y1)^2, where d is the distance between points (x1,y1) and (x2,y2).

Step-by-step explanation:

Answer:

\(\Huge \boxed{\mathrm{C }}\)

Step-by-step explanation:

\(\sf The \ distance \ formula \ is \ given \ as:\)

\(d=\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2 }\)

\(d \Rightarrow \sf distance\)

\((x_1,y_1) \Rightarrow \sf Coordinates \ of \ the \ first \ point\)

\((x_2,y_2) \Rightarrow \sf Coordinates \ of \ the \ second \ point\)

Answer:

It is not a integer, it is a rational number

Answer: No, this isn't. An integer is any whole number, positive or negative. Having extraneous digits to the right of the decimal other than zero, radicals or any fractions are excluded from being considered an integer. Integers, for example, are 2, 85, -923, etc. Hope this helps!

Step-by-step explanation:

Answer: (6,-6)

Step-by-step explanation:

To find the coordinates of point B, we can use the midpoint formula:

Midpoint formula: The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is given by:

M = ((x1+x2)/2, (y1+y2)/2)

Here, we know that the midpoint M is (4, -2), and one endpoint A is (2, 2). Let B be the other endpoint, so we can use the midpoint formula to find B:

4 = (2+x2)/2 --> 8 = 2+x2 --> x2 = 6

-2 = (2+y2)/2 --> -4 = 2+y2 --> y2 = -6

Therefore, point B has coordinates (6, -6).

As for the second question, without a graph or information about the equation of line t and point P, it is not possible to determine which points lie on the line passing through P and perpendicular to t.

The solutions to the quadratic equation using completing the square method are 5/6 - [(5i/6)√11]/6 and 5/6 + [(5i/6)√11]/6.

Given the equation in the question;

6x² − 10x = −50

Using completing the square method

First, divide each term by the coefficient of x²

6x²/6 − 10x/6 = −50/6

x² − 10x/6 = −50/6

Now, we take the half of the coefficient of x and square it.

(-10/6 ÷ 2)² = (-10/12)² = 25/36

Now we add 25/36 to both sides

x² − 10x/6 + 25/36 = −50/6 + 25/36

Next, we rewrite as a perfect square on the left.

( x - 5/6)² = −50/6 + 25/36

( x - 5/6)² = −275/36

Take square root of both sides

x - 5/6 = ±[√( (5i/6)² × 11 )]/6

x - 5/6 = ±[ (5i/6)√11 ]/6

x  = 5/6 ± [ (5i/6)√11 ]/6

x = 5/6 - [(5i/6)√11]/6, 5/6 + [(5i/6)√11]/6

The solutions to the quadratic equation using completing the square method are 5/6 - [(5i/6)√11]/6 and 5/6 + [(5i/6)√11]/6.

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It can be concluded that ΔWXY is equivalent to ΔBCD by the SAS rule because the corresponding sides and corresponding angle are congruent. Option D

SAS congruency states that  two triangles are said to be congruent if any two sides or angle between the sides of one triangle are equal to the corresponding two sides and also the angle between the sides of the second triangle.

Thus, it can be concluded that ΔWXY is equivalent to ΔBCD by the SAS rule because the corresponding sides and corresponding angle are congruent. Option D

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Answer:

B. No, because the corresponding congruent angles listed are not the included angles.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

9  ---> numerator

10  ---> denominator

wilkinsdorsainvil, this is the solution:

• There are two one-digit numbers: 4, and 6

• There are ten two-digit numbers: 34, 36, 44, 46, 54, 56, 64, 66, 74, 76.

• There are twenty three-digit numbers: 334, 336, 344, 346, 354, 356, 364, 366, 374, 376, 434, 436, 444, 446, 454, 456, 464, 466, 474, 476.

Now, we can conclude there are thirty-two even positive integers less than 500.

The tank holds approximately 994,040 liters.

The volume of a right circular cylinder is given by the formula:

V = πr^2h

Where

The cylinder's diameter is specified as 13 m, hence the radius may be computed using the formula: r = d/2 = 13/2 = 6.5 m

The cylinder is described as having a 6 m length.

These values are substituted into the volume calculation to produce the following result:

V = π(6.5)^2(6)

V ≈ 994.04 cubic meters

Since 1 cubic meter equals 1000 liters, we can convert the volume to liters by multiplying by 1000.

V = 994.04 cubic meters x 1000 liters/cubic meter

V = 994,040 liters

Therefore, the tank holds approximately 994,040 liters.

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Step-by-step explanation:

3-3(2x+1)+8x>=3-3

3-3*2x-3*1+8x>=0

3-3-6x+8x>=0

2x>=0

x>=0

The probabilities, we need to understand the context. Assuming we are working with a fair six-sided die, where each face has an equal chance of landing, here are the probabilities:

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Answer: -3.11 x 10^ 1

Step-by-step explanation: - 3

3.11 X 10 = -31.1, in decimal form -3.11 x 10^ 1

I

Using a calculator, we get the following results

Then, we use the following formula

Replacing the values of each coefficient

Answer: The value of the limit of the function may not be equal to the value of the function evaluated at a particular x-value. In other words, just because a function takes on a certain value at a particular x-value doesn't mean that the limit of the function at that x-value is equal to that value. To determine the limit of the function, you may need to use different methods such as L'Hopital's Rule or other limit laws. Additionally, it's important to keep in mind that the limit of the function may not exist, in which case it wouldn't be equal to any specific value.

Step-by-step explanation:

The given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.

Equation is a mathematical expression that consists of variables, symbols, and numbers, and shows the relationship between different quantities. An equation can involve one or more unknowns, and can be represented as an equality or as an inequality. Solving an equation requires understanding the relationship between the different elements in the equation, and manipulating the equation to isolate the unknowns. Common types of equations include linear equations, quadratic equations, and polynomial equations.

From this diagram, we can conclude that $\angle ABC$ is an isosceles triangle. This is because the angles opposite equal sides of a triangle must be equal. Since $\angle BAC=24^\circ$, $\angle ABC$ must be $24^\circ$. Furthermore, the sides $AB$ and $AC$ are equal, so $ABC$ is an isosceles triangle.

This conclusion can be verified by using the Pythagorean Theorem. If $AB=AC$, then it follows that $BC = \sqrt{AB^2 + AC^2} = \sqrt{2AB^2}$. Since $AB=3$, it follows that $BC=\sqrt{2*3^2}=6$. Therefore, the triangle $ABC$ is a right triangle with legs of length 3 and hypotenuse of length 6. Since $\angle BAC = 24^\circ$, it follows that $\angle ABC = 24^\circ$, verifying that the triangle is isosceles.

In conclusion, the given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.

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Answer:

78

Step-by-step explanation:

Answer:

Number of years 13 weeks represents = 14 year. Actually, here we can see that the number of years is a fraction 14, that means 13 weeks will represent (14)th part of a year. Hence, we can conclude that 13 weeks represent 25% of one year.

Step-by-step explanation:

Step-by-step explanation:

alright. i calculated each line that is given, and i sadly don't have the time to place them. but, ill still make it easier for u and give the points of each one, and u can place them and see which one is perpendicular and that passes through the given point.

a=(-3,88)

b=(1/3,28)

c=(3,88)

d=(1/3,-12)

i apologize for not having an obvious answer, but hope this helps!

The domain is all real numbers, and the range is all real numbers greater than or equal to -4.

From the question, we have the following parameters that can be used in our computation:

f(x) = (x + 2)(x + 6)

The above equation is a quadratic function

The rule of this function is that

The domain is the set of all real numbers

For the range, we expand and calculate the vertex

So, we have

f(x) = x² + 8x + 12

The x-coordinate of the vertex is

x = -8/(2 * 1)

x = -4

The x-coordinate of the vertex is

f(-4) = (-4)² + 8(-4) + 12

f(-4) = -4

So, the range is

y ≥ -4

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The required piecewise linear relations are f(x) = 4 if [0, 2), and f(x) = -2x + 8 if [2, 4).

A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).

The graph is given in the question, as shown

f(x) = 2x + 4 if [-2, 0]

This the sub-function define between the interval [-2, 0].

f(x) = 4 if [0, 2)

This the sub-function define between the interval [0, 2).

f(x) = -2x + 8 if [2, 4)

This the sub-function define between the interval [2, 4).

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The value of x and y in the equation -5x + 8y = -21 and 3x - 4y = 15 are 9 and 4 respectively.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

The equation is given as:

-5x + 8y = -21

3x - 4y = 15

Multiply equation i by 3

Multiply equation ii by 5

-15x + 24y = -63

15x - 20y = 75

Add both equations

4y = 12

Divide

y = 12/4

y = 3

From 3x - 4y = 15

3x - 4(3) = 15

3x - 12 = 15

Collect like terms

3x = 12 + 15

3x = 27

Divide

x = 27/3

x = 9

Therefore, x = 9 and y = 4.

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Answer:

Step-by-step explanation:

Answer:

68 in^2

Step-by-step explanation:

the shape is a trapezoid

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Characteristics of a trapezoid

It has 4 vertices and edges

If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram

Area of a trapezoid =   x (sum of the lengths of the parallel sides) x height

the dimension of the height is not given. We have to determine the value of the height using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

10² = 6² + height²

100 = 36 + height²

height = 64

the square root of 64 is 8

the height is 8

1/2 x (8 + 9) x 8 = 68in^2