Find the area enclosed between the curve y = Vx and the x-axis bound by the lines x = 0 and x = 4.

Answer:

We can start at the given point (-1, 2) and move down 3 units and right 4 units to plot the next point. Repeat this for however long you want the line to be.

Hope this helps!

Here is the diagram:

Answer:

I think D though I'm not sure

Step-by-step explanation:

Answer:

Answer B.

x² + 1

Step-by-step explanation:

x=1

Input x= 1 into x²+1 to get y

(1)²+1 = 2

when x=2

(2)²+1 = 5

when x = 3

(3)² + 1 = 10.

when x=4

(4)² + 1 = 17

Hence Option B

Answer:

C. No; it is not necessarily true that all four sides are in the same plane.

Step-by-step explanation:

Answer:

3.10E+10 (3.10 x 10 10)

Step-by-step explanation:

Answer:

0.34

Step-by-step explanation:

34/100 is 34 hundreths

0.34= 34/100

Answer:

0.34

Step-by-step explanation:

Answer:

\(1.5\ \text{s}\)

\(2\ \text{s}\)

\(0.25\)

\((0.25,49)\)

Step-by-step explanation:

The equation is

\(d=-16t^2+8t+48\)

When the diver be 24 feet from the water \(d=24\ \text{ft}\)

\(24=-16t^2+8t+48\\\Rightarrow -16t^2+8t+24=0\\\Rightarrow t=\frac{-8\pm \sqrt{8^2-4\left(-16\right)\times 24}}{2\left(-16\right)}\\\Rightarrow t=-1,1.5\)

So, at \(t=1.5\ \text{s}\) the diver will be 24 feet away from the water.

When the diver will enter water \(d=0\)

\(0=-16t^2+8t+48\\\Rightarrow t=\frac{-8\pm \sqrt{8^2-4\left(-16\right)\times 48}}{2\left(-16\right)}\\\Rightarrow t=-1.5,2\)

So, the diver will enter the water at \(t=2\ \text{s}\)

The roots of the equation gives the value as in those points the distance to the water is zero.

Vertex of the curve

\(t=-\dfrac{b}{2a}\\\Rightarrow t=-\dfrac{8}{2\times-16}\\\Rightarrow t=0.25\)

The vertex of the curve is at \(0.25\)

The vertex of the curve is the highest point and the axis of symmetry passes through the vertex

\(d=-16t^2+8t+48=-16\times 0.25^2+8\times 0.25+48\\\Rightarrow d=49\)

So, the axis of symmetry passes through the curve at \((0.25,49)\).

Answer:

-48\(r^{2}\) - 10r + 3

Step-by-step explanation:

FOIL method

First : (6r) · (- 8r) = - 48\(r^{2}\)

Outer : (6r) · (-3) = -18r

Inner : (-1) · (-8r) = 8r

Last : (-1) · (-3) = +3

combine like terms

The problem of finding the optimal value of a linear objective function on a feasible region is called a linear programming problem.

A linear programming problem is a mathematical optimization problem that involves maximizing or minimizing a linear objective function, subject to a set of linear constraints on the decision variables. The decision variables are typically non-negative and represent quantities that need to be determined to optimize the objective function, while the constraints define the feasible region in which the decision variables must lie.

Linear programming problems are widely used in various fields such as economics, engineering, operations research, and management science to model and solve real-world problems. The simplex algorithm is a popular method for solving linear programming problems, although other methods such as interior point methods and branch and bound algorithms may also be used.

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Answer:

\(k = \frac{4}{5} \)

Step-by-step explanation:

We know from the graph

\(g(x) = - \frac{1}{5} \)

and

\(f(x) = 1\)

using the given equation we can solve

\( - \frac{1}{5} = k - 1 \\ \)

subtract 1 from both sides so that k is isolated

\( \frac{4}{5} = k\)

Answer:

Yes because if you multiply 3:5 by 2 you get 6:10

Step-by-step explanation:

Answer:

7 horses,and 6 chickens

Answer:

45600 cm = 45600 mL

Step-by-step explanation:

1 milliliter = 1 cubic centimeter

Answer:

2x=0

x=0

Step-by-step explanation:

11-3x=5(2-x)+1

We first distribute the 5 to 2 and -x:

11-3x=10-5x+1

Combine like terms (combine all variables and then combine all constants)

-3x+5x=10+1-11

2x=0

x=0

Answer:

Jeff Bezos, is Amazon's founder, who's one of the richest people in the world.

The federal government won't require everyone to get vaccinated.

The federal government also won't required everyone in america to carry a passport.

New York recently because the first state to have a cov id passport.

Florida banned the co vid passport.

Restraunt owners think its against peoples rights to have a co vid passport, so they won't need them there!

Theatres are requiring a passport for the vaccine, due to wanting to fill the audience.

Heinz makes more ketchup than anyone

12 billions ketchup packets will be made this year from h einz, which is enough to reach the moon and back.

astronauts had a lot of ketchup in space

1 hundred and forty miles per hour is reached on the fasted roller coaster according to genius world records.

Step-by-step explanation:

Hope this helps! Plz mark as brainliest!

Answer:

x = 6

Step-by-step explanation:

Perimeter of the rectangle = 34 ft

Length of the rectangle = 3(x-2) ft

Width of the rectangle = 4x-7+(-2x) ft

= 4x - 7 - 2x

= 2x - 7 ft

Perimeter of a rectangle = 2(length + width)

34 = 2{3(x-2) + 2x - 7 }

34 = 2{3x - 6 + (2x - 7)}

34 = 2(3x - 6 + 2x - 7)

34 = 2(5x - 13)

34 = 10x - 26

34 + 26 = 10x

60 = 10x

x = 60/10

x = 6

Length of the rectangle = 3(x-2) ft

= 3(6 - 2)

= 3(4)

= 12 ft

Width of the rectangle = 2x - 7 ft

= 2(6) - 7

= 12 - 7

= 5 ft

Answer:

Given:

AB is a diameter

<BOC=<COD

AO=OB=OC=OD being radius

TO PROVE :

AD // OC

CONSTUCTION:

AC is joined:

Proof:

<BOC=2<BAC

<COD=2<DAC

Being center angle is double of the inscribed angle standing on a same arc.

we get

\(<DAO=\frac{1}{2}(<BOC+<COD)=\frac{1}{2}(<BOC+<BOC)\)

Given

<DAO=<BOC

which satisfy the property of corresponding angle.

So, AD//OC

proved:

Step-by-step explanation:

Answer:

C . y(18x-9w-12) ..............

Step-by-step explanation:

30 - 5x > 2x + 9

-7x > -21

x < 3

The shark is fed during the feeding at night is 1/6 tons.

What is a proper fraction?

A proper fraction is one that doesn't contain any whole numbers and has a smaller numerator than a denominator. A fraction that represents a number greater than one and has a larger numerator than the denominator is said to be improper.

Given that during the morning feeding, 2/15 of a ton of fish is fed. During the afternoon feeding the weight of the fish fed will be 1/15 of a ton more than the fish fed during the morning.

The shark fed (2/15 + 1/15) ton during the afternoon.

Assume that the shark fed x tons at night.

Therefore, the total fed is 2/15 + (2/15 + 1/15) + x

The equation is:

2/15 + (2/15 + 1/15) + x = 1/2

Add like terms:

5/15 + x = 1/2

1/3 + x = 1/2

Subtract 1/3 from both sides:

x = 1/2 - 1/3

x = (3-2)/6

x = 1/6

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Answer:

her equation should be a² + 3² = 4²

Step-by-step explanation:

a² + 3² = 4²

a² + 9 = 16

a² = 7

a = \(\sqrt{7}\)

a ≈ 2.6 inches

Trigonometric identities are mathematical equations that involve trigonometric functions such as sine, cosine, tangent, and their reciprocals. They are true for all values of the variables involved. The following are some examples of trigonometric identities:

1. Pythagorean Identity: sin²θ + cos²θ = 1. This identity relates the values of sine and cosine of an angle with the unit circle.

2. Even-Odd Identities: sin(-θ) = -sin(θ) and cos(-θ) = cos(θ). These identities show that the sine function is an odd function and the cosine function is an even function.

3. Co-function Identities: sin(π/2 - θ) = cos(θ) and cos(π/2 - θ) = sin(θ). These identities relate the values of sine and cosine of complementary angles.

4. Double-Angle Identities: sin(2θ) = 2sin(θ)cos(θ) and cos(2θ) = cos²(θ) - sin²(θ). These identities are used to simplify trigonometric expressions that involve double angles.

5. Half-Angle Identities: sin(θ/2) = ±√[(1-cos(θ))/2] and cos(θ/2) = ±√[(1+cos(θ))/2]. These identities are used to find the values of sine and cosine of half-angles.

All of the above-mentioned equations are trigonometric identities. They are fundamental to solving trigonometric problems and are used extensively in mathematics, engineering, and science.
To determine which of the following are trigonometric identities, you should compare each given equation to known trigonometric identities. These identities are mathematical relationships between the trigonometric functions, such as sine, cosine, and tangent. Here's a step-by-step process:

1. Write down the known trigonometric identities, such as the Pythagorean identities: sin^2(x) + cos^2(x) = 1, 1 + tan^2(x) = sec^2(x), and 1 + cot^2(x) = csc^2(x).
2. Compare each equation in the list to these known identities.
3. Check if the given equations can be simplified or manipulated to match the known identities.
4. Mark the equations that match the known identities as trigonometric identities.

By following this process, you can identify which equations in the list are trigonometric identities.

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The cost to carpet a rectangular floor measuring 27 feet by 15 feet is $1269

Information about the problem:

The formula and procedure to solve this geometry exercise is:

A(rectangle) = length * width

A(rectangle) = 27 ft * 15 ft

A(rectangle) = 405 ft^2

By converting the area from ft^2 to yard^2, we have:

405 ft^2 * (1 yard^2 / 9 ft^2) = 45 yard^2

Calculating the cost to carpet a rectangular floor:

Cost = A(rectangle) * cost per square yard

Cost = 45 yard^2 * $28.20/ yard^2

Cost = $1269

Is the measure of the space occupied by a body bounded by an environment called perimeter, the same is expressed in units of squared side. Example: ft^2, m^2

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Answer:

12

Step-by-step explanation:

7x +21 =105

7x =105 - 21

7x =84

x=84 :7

x=12

Answer:

Area of the sector in red = 177.87 cm²

Area of the sector in blue = 437. cm²

Step-by-step explanation:

Area of the sector = \(\frac{\theta}{360}(\pi )(r)^2\)

Area of the sector shaded in blue = \(\frac{256}{360}(\pi )(14)^2\)

                                                        = 437.87 cm²

Central angle formed by sector shaded in red = 360 - 256 = 104°

Area of the sector shaded in red = \(\frac{104}{360}(\pi )(14)^2\)

                                                      = 177.884

                                                      ≈ 177.88 cm²

Therefore, area of the sector shaded in red = 177.87 cm² and area of the sector in blue = 437.88 cm²

The value of c in order for the function f(x) to serve as a probability distribution, we need to ensure that the sum of all probabilities is equal to 1.

Given that f(x) is a probability distribution, it means that each value of x must have a non-negative probability assigned to it, and the sum of all probabilities must equal 1.
Let's say the possible values of x are x1, x2, x3, ..., xn.

Then, we have:
f(x1) + f(x2) + f(x3) + ... + f(xn) = 1
In this case, since we have only one function f(x), we have:
f(x) = c * f(x)
To find the value of c, we need to divide 1 by the sum of f(x) for all possible values of x.
So, c = 1 / (f(x1) + f(x2) + f(x3) + ... + f(xn))
Make sure to substitute the values of f(x) using the given function to calculate the sum and then determine the value of c.

Probability enables us to measure and analyse uncertainty in a variety of contexts, including games of chance, weather forecasting, and decision-making in ambiguous circumstances.

The number of favourable outcomes is frequently computed by dividing the total number of possible outcomes by the number of favourable outcomes.

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