An eagle is flying around and its velocity vvvv as a function of time tttt is given in the graph below where rightwards is the positive velocity direction.
A set of black coordinate axes are given with the vertical axis labeled "v (m/s)" and the horizontal axes labeled "t (s)". A curve that relates v to t is shown in blue. It begins with a straight line of endpoints (0,-2) and (3,4). This first line is connected to a second line with endpoints (3,4) and (4,4).
A set of black coordinate axes are given with the vertical axis labeled "v (m/s)" and the horizontal axes labeled "t (s)". A curve that relates v to t is shown in blue. It begins with a straight line of endpoints (0,-2) and (3,4). This first line is connected to a second line with endpoints (3,4) and (4,4).
What is the eagle's displacement Δx\Delta xΔxdelta, x from t=1.0 st=1.0\,\text st=1.0st, equals, 1, point, 0, start text, s, end text to 4.0 s4.0\,\text s4.0s4, point, 0, start text, s, end text?

The expression of the given statement is 2y - 3  = -1

Expressions are mathematical statements that comprise either numbers, variables, or both and at least two terms associated by an operator. The operations of mathematics include multiplication, division, addition, and subtraction.

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Let's look at how expressions are written.

The expression of the given statement is 2y - 3  = 4.

Here, let the unknown number = y

Now, product of y and 2 =  2 times  y   =   2y

Also, three less than the product   =  Product - 3

So, three less than the product  of 3 and y =  2 y - 3

Now, this above expression is equivalent to -1.

⇒2 y - 3  = -1

Hence the expression of the given statement is 2y - 3  = -1

To know more about Expression, visit:

https://brainly.com/question/1859113

#SPJ1

The sentence "Three less than the product of 2 and a number is 4" can be translated into the equation: 2x - 3 = 4

A mathematical statement that demonstrates the equivalence of two expressions is known as an equation.

It has two sides that are divided by the equals sign (=).

Variables, constants, coefficients, operators, and functions can all be used in the expressions on either side of the equation.

Here, x represents the unknown number that we are trying to solve for. The expression "the product of 2 and a number" is represented by 2x, and "three less than" is represented by the subtraction of 3 from that product. This expression is set equal to 4, which is the result given in the original sentence.

To know more about expressions visit:

https://brainly.com/question/19131200

#SPJ1

The total area of clothes used is 12627m².

It is important to note that a football is in the shape of a sphere. Therefore, the area of a ball will be:

= 4πr²

In this case, the radius which is represented by r is given as 9.15m.

The area will be:

= 4πr²

= 4 × 3.142 × 9.15²

= 1052.22

Therefore, since there are 12 pitches, the area will be:

= 1052.22m² × 12

= 12627m²

Learn more about area on:

brainly.com/question/25292087

#SPJ1

Answer:

It takes 1.77 hours for the population to double.

Step-by-step explanation:

Equation for population growth:

The equation for population growth, after t hours, with a growth rate parameter of r, as a decimal, is given by:

\(P(t) = P(0)(1+r)^t\)

Growth rato parameter of 48% per hour

This means that \(r = 0.48\). So

\(P(t) = P(0)(1+r)^t\)

\(P(t) = P(0)(1+0.48)^t\)

\(P(t) = P(0)(1.48)^t\)

How many hours does it take the size of the sample to double?

This is t for which P(t) = 2P(0). So

\(P(t) = P(0)(1.48)^t\)

\(2P(0) = P(0)(1.48)^t\)

\((1.48)^t = 2\)

\(\log{(1.48)^t} = \log{2}\)

\(t\log{1.48} = \log{2}\)

\(t = \frac{\log{2}}{\log{1.48}}\)

\(t = 1.77\)

It takes 1.77 hours for the population to double.

The area is 108yd2(square yards).

In the given triangle a base

24yd and the corresponding height of 6 yds are given, so to calculate the area we can use:

A=12×b×h

If we substitute the given numbers we get:

A=\(\frac{1}{2}\)×24×18

=12×9

=108

The units of base and height are the same (yards), so the calculated area is in yd2

The area is the quantity that expresses the extent of a region on the plane or on a curved surface. the world of a plane region or plane area refers to the area of a shape or planar lamina, while area refers to the area of an open surface or the boundary of a three-dimensional object. The area is often understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the quantity of paint necessary to cover the surface with a single coat. it's the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).

To  learn more about the area from the given link:

brainly.com/question/27683633

#SPJ9

Answer:

8 miles per hour

Step-by-step explanation:

1/5 x 40 = 8

Each step of this theorem is proved below.

Given that,

S is finite,

Now enumerate all of its elements as x₁, x₂,..., x\(_{n}\).

According to the cancellation rule,

This product is independent of the order of the factors.

As a result, we can define the identity element e as this product.

It is simple to demonstrate that e meets the criteria of an identity element.

Now, let's show that every element of S has an inverse.

Let a be any element of S. Consider the set {a, a, a, ...}.

Since S is finite,

There exist positive integers m and n such that

am = an   for some m > n.

By the cancellation law,

We can cancel a power of a from both sides to get a\({(m-n)}\) = e.

This means that a has an inverse, and we can conclude that S is a group.

Consider the set of all positive integers under addition, except 1, as an example of an infinite semigroup in which the cancellation laws hold but which is not a group.

This set clearly meets the cancellation laws, but it does not have an inverse for every element, because the inverse of 2, for example, is not an integer.

As a result, this is not a group.

To learn more about cancellation law visit:

https://brainly.com/question/31328698

#SPJ1

Answer:

The correct answer would be 8 14/15 miles.

Step-by-step explanation:

You have to get the fractions 5 2/6 and 3 3/5 to a common denominator (30) getting you the fractions 10/30 and 18/30. 10/30+18/30 is 28/30 which can simplify to 14/15. 5+3 = 8 getting you the answer of 8 14/15

The x-intercept for function f(x) = −23x + 8 is (8/23, 0)

In this question, we have been given a function f(x) = −23x + 8

We need to find the x-intercept for given function f(x)

Let f(x) = y

So, given function becomes,

y = −23x + 8

To find the x-intercept, set y = 0,

0 = -23x + 8

23x = 8

x = 8/23

Therefore, the x-intercept for function f(x) = −23x + 8 is (8/23, 0)

Learn more about x-intercept here:

https://brainly.com/question/14180189

#SPJ1

The area of the triangle is 47.91 units²

When all three sides of the triangle are known we can use Heron's formula. Consider the triangle ABC with sides a, b, and c has shown in the image.

Heron’s formula is:

Area =√s(s−a)(s−b)(s−c)

where,

a, b, c are the side length of the triangle

s is the semi-perimeter. s = (a+b+c)/2

In this case:

Using the knowledge of the radius of a circle. We can say:

a = BC = 3 + 9 = 12 units

b = AC = 5 + 3 = 8 units

c = AB = 5 + 9 = 14 units

s = (a+b+c)/2

s = (12+8+14)/2

s = 34/2

s = 17 units

Area = √s(s−a)(s−b)(s−c)

Area = √17(17−12)(17−8)(17−14)

Area = √17(5)(9)(3)

Area = √2295

Area = 47.91 units²

Learn more about area of triangle on:

https://brainly.com/question/1058720

#SPJ1

The values into the slope-intercept form, we have y = -5x - 6

The slope-intercept form of a linear equation is given by:

y = mx + b

where 'm' represents the slope of the line, and 'b' represents the y-intercept.

In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).

The slope is given as -5.

Therefore, substituting the values into the slope-intercept form, we have:

y = -5x - 6

This equation represents the line with a y-intercept of (0, -6) and a slope of -5.

for such more question on slope-intercept form

https://brainly.com/question/11990185

#SPJ8

Answer:4

Step-by-step explanation:

hoped this helped

The Energy Information Administration reports that the mean retail price per gallon of regular grade gasoline is $3.51 and a standard deviation of $0.10

A. We need to identify the range that is two standard deviations away from the mean in both directions in order to calculate the proportion of regular grade gasoline sold between $3.31 and $3.71 per gallon.

3.31 = 3.51 - 2 × 0.10$.

3.71 = 3.52 + 2 × 0.10$.

Consequently, between $3.31 and $3.71 per gallon is where approximately 95% of the gasoline sold is priced.

B. We can use the same formula to find the percentage of regular grade gasoline sold between $3.31 and $3.61 per gallon by repeating the calculation above but only considering one standard deviation in either direction.

3.31 = 3.51 - 1 × 0.10.

3.51 + 1 × 0.10 = 3.61.

Therefore, 68 percent of the gasoline sold is priced between $3.31 and $3.61 per gallon.

C. By deducting the percentage of gasoline sold within two standard deviations of the mean from 100%, we can calculate the percentage of regular grade fuel sold for more than $3.17 per gallon.

Therefore, about 5% of the sold gasoline has a gallon price greater than $3.17.

Learn more about standard deviation:

https://brainly.com/question/23907081

#SPJ4

Answer:

\(2000 {(1 + \frac{.07}{12}) }^{5 \times 12} = 2835.25\)

Answer:

3/4 acre

Step-by-step explanation:

1 1/1 = 3/2

3/2 ÷ 2 = 3/2 × 1/2 = 3/4

$2010.458 is her new balance after she makes one new transaction for $51.

What does a credit balance mean?

The amount that the credit card company owes you is shown as a credit balance on your billing statement. Each payment you make results in credits being added to your account.

                                   When you return something you purchased with your credit card, you can receive an additional credit.

Credit balance  = $1,603

   APR = 28.6%

        = 28.6%  * $1,603

         =   458.458

Credit balance  = $1,603 + 458.458

                        = $2061.458

  net balance =  $2061.458 - 51

                      = $2010.458

Learn more about credit balance

brainly.com/question/14781034

#SPJ1

We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.

A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.

This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.

A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).

Learn more about null hypothesis at https://brainly.com/question/25263462

#SPJ1

Answer:

I thino the awnser is 103.5

Step-by-step explanation:

Answer:

16,12,10,8

Step-by-step explanation:

a+(n-1)d

20-22=18-2=-2

Answer:

Sum = 900°

Step-by-step explanation:

Sum  of interior angles = 180·(n-2),

where n is the number of sides the polygon has

Sum = 180·(7-2)

Sum = 180·5

Sum = 900°

After diving dοwn 215.5 feet, rising 125.5 feet, and diving dοwn anοther 122.4 feet, the submarine is at a depth οf 1,063.1 feet belοw sea level.

The fοur fundamental οperatiοns οf arithmetic are additiοn, subtractiοn, multiplicatiοn, and divisiοn οf twο οr mοre quantities. Included in them is the study οf numbers, especially the οrder οf οperatiοns, which is impοrtant fοr all οther areas οf mathematics, including algebra, data management, and geοmetry. The rules οf arithmetic οperatiοns are required in οrder tο answer the prοblem.

Starting at a depth οf 1,275.5 feet belοw sea level, the submarine dives dοwn an additiοnal 215.5 feet:

1,275.5 - 215.5 = 1,060 feet belοw sea level

Then the submarine rises 125.5 feet:

1,060 + 125.5 = 1,185.5 feet belοw sea level

Finally, the submarine dives dοwn anοther 122.4 feet:

1,185.5 - 122.4 = 1,063.1 feet belοw sea level

Therefοre, after diving dοwn 215.5 feet, rising 125.5 feet, and diving dοwn anοther 122.4 feet, the submarine is at a depth οf 1,063.1 feet belοw sea level.

Learn more about arithmetic operation,

https://brainly.com/question/30553381

#SPJ1

suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N is  nλe^(-nλx)

Given fx (x) = λe^λx

Fx (x) = 1 – e^-λx      x…0

To find distribution of Min (X1,….Xn)

By applying the equation

fx1 (x) = [n! / (n – j)! (j – 1)!][F(x)]^j-1[1-F(x)]^n-j f(x)

For minimum j = 1

[Min (X1,…Xn)] = [n!/(n-1)!0!][F(x)]^0[1-(1-e^-λx)]^n-1λe^-λx

= ne^[(n-1) λx] λe^(λx)

= nλe^(-λx[1+n-1])

= nλe^(-nλx)

learn more about of variable here

https://brainly.com/question/6472483

#SPJ4

The vertices of the reflected square.

Let's calculate them:

A' = (-0.914, 3.914)

B' = (-2.828, 5.828)

C' = (-0.086, 7.086)

D' = (1.828, 5.172)

The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:

Find the equation of the reflection line:

The reflection line passes through (0, 0) and (-2, 2).

We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):

m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.

Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:

y - 0 = -1(x - 0)

y = -x.

Find the midpoint of each side of the square:

The midpoints of the sides of a square are also the midpoints of its diagonals.

The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).

The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).

The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).

The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).

Reflect the midpoints about the line:

To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.

The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:

d = (y + x) / √(2).

The coordinates of the reflected points can be found using the formula for reflection across a line:

x' = x - 2d / √(2)

y' = y - 2d / √(2).

Calculate the reflected vertices:

The coordinates of the reflected vertices are as follows:

A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))

B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))

C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))

D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))

Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.

For similar questions on vertices

https://brainly.com/question/1217219

#SPJ8

The volume generated by rotating the region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) about the x-axis using the method of cylindrical shells is \($4\pi$\) cubic units.

The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.

To find the volume generated by rotating the region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) about the x-axis using the method of cylindrical shells, we need to follow these steps:

Sketch the region and the axis of rotation. The region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) is a quarter-circle with radius 2 centered at the origin. The axis of rotation is the x-axis.

Choose a vertical strip with width $\Delta x$ that runs parallel to the y-axis and intersects the region. The height of this strip is given by the equation $y = 4 - x^2$.

Imagine rotating this strip around the x-axis to form a cylindrical shell with thickness \($\Delta x$\), height \($4 - x^2$\), and radius \($x$\).

The volume of this cylindrical shell is given by the formula \($V = 2\pi x(4-x^2)\Delta x$\).

To find the total volume of the solid, we need to add up the volumes of all the cylindrical shells. This can be done by taking the limit as the width of the strips $\Delta x$ approaches zero and summing up the volumes of the resulting shells. This gives us the integral:

\($V = \int_{0}^{2} 2\pi x(4-x^2) dx$\)

We can simplify this integral by expanding the expression inside the parentheses, which gives us:

\($V = \int_{0}^{2} 8\pi x - 2\pi x^3 dx$\)

We can then integrate each term separately to get:

\($V = [4\pi x^2 - \frac{1}{2}\pi x^4]_{0}^{2}$\)

\($V = (4\pi \cdot 2^2 - \frac{1}{2}\pi \cdot 2^4) - (4\pi \cdot 0^2 - \frac{1}{2}\pi \cdot 0^4)$\)

\($V = 8\pi - 4\pi = 4\pi$\)

Therefore, the volume generated by rotating the region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) about the x-axis using the method of cylindrical shells is \($4\pi$\) cubic units.

To learn more about the volume of the cylinder visit:

brainly.com/question/6204273

#SPJ1

Answer:

The area is changing at the point of  \(\mathbf{61200 m^2/year}\)

Step-by-step explanation:

From the given information:

Let's recall from our previous knowledge that the formula for finding the area of a rectangle = L × w

where;

L = length and w = width of the rectangle

Suppose the Length L is twice the width w

Then L = 2w --- (1)

From The area of a rectangle

A = L  × w

A = 2w  × w

A = 2w²

Taking the above differentiating with respect to time

\(\dfrac{dA}{dt }= 4w \times \dfrac{dw}{dt} --- (2)\)

At the time t

\(\dfrac{dw}{dt}= 34 m \ per \ year ; w = 450 \ m\)

Replacing the values back into equation 2, we get:

\(\dfrac{dA}{dt }= 4 \times 450 \times 34\)

\(\mathbf{\dfrac{dA}{dt }= 61200 m^2/year}\)

Answer:

-1

Step-by-step explanation:

(x₁ , y₁) = (1 , 3)

(x₂ , y₂) = (-1 , 5)

\(Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\)

         \(=\frac{5 - 3}{-1-1}\\\\=\frac{2}{-2}\\\\= -1\)

Answer:

YXZ=AXZ

because if you see the letters they form triangle

Answer:

1/6 for 1 and 1/6 for 2.

Step-by-step explanation:

Since there are six possible outcomes, the probability of obtaining any side of the die is 1/6. The probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6, and so on. If you want the actual fraction, then count up how much 1/6 you rolled. For example, if you rolled a 5 the probability would be 5/6.

Good luck! And I hope you have an awesome day!

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

For similar question on cuboid.

https://brainly.com/question/29568631  

#SPJ8