A rectangle or plot of land has an area of 8/3 square miles and a length of 3/5 of a male What is the width of the plot of land in Miles?

The duration of the bond is approximately 0.0045 years or 1.64 days.

We can use the formula for bond price sensitivity to changes in yield to find the duration of the bond:

D = - (1/P) * (dP/dy)

where D is the duration, P is the price of the bond, y is the yield, and dP/dy is the derivative of the bond price with respect to yield.

We are given that the bond price is currently $1,050 and the yield is 7%, so we can plug these values into the formula:

P = $1,050

y = 7% or 0.07

Next, we need to find the derivative of the bond price with respect to yield, which is the percentage change in bond price divided by the percentage change in yield.

We know that if the yield increases by 20 basis points (0.20%), the price of the bond will decrease to $1,040. Using this information, we can calculate the percentage change in bond price and yield:

Percentage change in bond price = (new price - old price) / old price = ($1,040 - $1,050) / $1,050 = -0.0095 or -0.95%

Percentage change in yield = 0.20%

Using these values, we can calculate the derivative of the bond price with respect to yield:

dP/dy = (percentage change in bond price) / (percentage change in yield) = -0.0095 / 0.002 = -4.75

We can now enter each value into the duration formula as follows:

D = - (1/P) * (dP/dy) = - (1/$1,050) * (-4.75) = 0.0045 years or 1.64 days

Therefore, the duration of the bond is approximately 0.0045 years or 1.64 days.

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Answer:

x = -3

Step-by-step explanation:

The two angles shown are corresponding angles, meaning that they have the same value. Because of this, we can create an equation to solve for the value of x.

2x + 9 = 7x + 24

Remember, those two angles are similar, and that's why we can make the two values equal to each other. First, let's remove 7x from both sides.

2x - 7x + 9 = 7x - 7x + 24

-5x + 9 = 24

Then, we'll remove 9 from both sides.

-5x + 9 - 9 = 24 - 9

-5x = 15

Finally, we'll divide both sides by -5 to isolate x and figure out what it is equivalent to.

-5x/-5 = 15/-5

x = -3

And there it is... the value of x. Hopefully that's helpful! :)

The slope and the y-intercept of the line y = 4x + 5 are given as follows:

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

The function for this problem is given as follows:

y = 4x + 5.

Hence the slope and the intercept are given as follows:

The problem asks for the slope and the intercept of y = 4x + 5.

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Solving a system of equations we can see that:

We can use the variables:

x = mass of the 60% solution.

y = mass of the 85% solution.

We can write a system of equations.

x + y = 70

x*0.6 + y*0.85 = 70*0.8

We can isolate x on the first equation to get:

x = 70 - y

Replace that in the other one:

(70 - y)*0.6 + y*0.85 = 70*0.8

Now we can solve this for y.

y*0.25 = 70*0.8 - 70*0.6

y = 14/0.25 = 56

Then he needs to use 56 ounces of the 85% solution, and 14 ounces of the 60% solution.

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Answer:

X    |   y

---------------

-2   |   3

-1   |   0

0   |  -3

1   |  -6

The total area of the composite figure is 530 square yards

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

The composite figure

The total area of the composite figure is the sum of the individual shapes

So, we have

Area = Sum of area of different rectangles

using the above as a guide, we have the following:

Surface area = 4 * 12 + 4 * 12 + 7 * 12 + 3 * 12 + 12 * 11 + 7 * 12 + 7 * 4 * 2 + 7 * 3 * 2

Evaluate

Surface area = 530

Hence. the total area of the figure is 530 square yards

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Answer: n=

−z2−5

z

Step-by-step explanation:

Let's solve for n.

(−n)(z)−z2−2=3

Step 1: Add z^2 to both sides.

−nz−z2−2+z2=3+z2

−nz−2=z2+3

Step 2: Add 2 to both sides.

−nz−2+2=z2+3+2

−nz=z2+5

Step 3: Divide both sides by -z.

−nz

−z

=

z2+5

−z

Answer:

-z^2-5z

Step-by-step explanation:

To evaluate a polynomial at a given value, we substitute the given value for the variable and then simplify using order of operations. We are given n=3, so we substitute 3 for n in the polynomial −nz−z2−2z and simplify as follows.

−nz−z2−2z

−(3)z−z2−2z

−3z−z2−2z

−z2−5z

The binomial that represents the area of the white triangles is 12x + 36. The area of the four white triangles is 180 sq. cm.

In a two-dimensional plane, a triangle's area is the area that it completely encloses. A triangle is a closed shape with three sides and three vertices, as is common knowledge. The entire area occupied by a triangle's three sides is referred to as its area. Half of the product of the triangle's base and height provides the general formula for calculating the area of the triangle.

Generally speaking, a "area" is the area included within the perimeter of a flat object or figure. Measurements are made in square units, with square metres serving as the reference unit.

Given that, the length of side of the larger square is x + 6 cm.

The area of the larger square = s²

A = (x + 6)²

A = x² + 12x + 36

The side of the blue square = x

The area of the blue square is:

A = x²

The binomial that represents the area of the white triangles is:

Area of large square - area of blue square

x² + 12x + 36 - x²

12x + 36

Now, the length of the side of blue square is 12 cm then the area of the four white triangles is:

12x + 36 = 12(12) + 36

= 144 + 36

= 180 sq. cm

Hence, the binomial that represents the area of the white triangles is 12x + 36. The area of the four white triangles is 180 sq. cm.

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Answer:

The area of shaded portion is 15cm^2

Step-by-step explanation:

Since the length of corresponding side of the rectangle are equal

AB = CD

AD = BC

So, △ABD ≌ △BCD

the area of shaded portion

= area of △ABD

= half of the area of rectangle

= 1/2 ✖ 30cm^2

= 15cm^2

Answer:

14(120)t

Step-by-step explanation:

hopes this helps

The whole given data sets can have their median calculated after being arranged either in an ascending or descending order. That is option A,B,C,D and E.

The median of a data set is defined as the data that is found at the center, otherwise known as the measure of center of a data set, after being arranged in ascending or descending order.

For example the median of option A) is calculated as follows:

Data set= 23,62,68,73,75,77

Median = 68+73/2 = 70.5

Therefore the median is between 68 and 73 which is = 70.5

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Answer:

cioè x ≥ 1; si avrà pertanto x > 0

Step-by-step explanation:

EXERCISE 2. Risolvere le seguenti disuguaglianze:

(1) | x−1 |< 3

(2) | x+1 |> 2

(3) | 2x+1 |< 1

(4) | x−1 |<| x+1 |

Caso: (a): | x−1 |< 3, risolvo

x−1 < 3

x ≥ 1

∪

−x+1 < 3

x < 1

, si avrà quindi

x < 4

x ≥ 1

cioè 1 ≤ x < 4 e

x > −2

x < 1

cioè −2 < x < 1. L’unione tra le due dà la soluzione −2 < x < 4

Caso: (b):

x+1 > 2

x ≥ −1

∪

−x−1 > 2

x < −1

, si avrà quindi

x > 1

x ≥ −1

cioè x > 1 e

x < −3

x < −1

cioè x < −3,

pertanto x < −3 ∪ x > 1

Caso: (c):

2x+1 < 1

x ≥ −1

2

∪

−2x−1 < 1

x < −

1

2

, si avrà quindi

x < 0

x ≥ −1

2

cioè −

1

2 ≤ x < 0 e

x > −1

x < −

1

2

cioè

−1 < x < −

1

2

. pertanto −1 < x < 0

Caso: (d): in questo caso,

−x+1 < −x−1

x < −1

∪

−x+1 < x+1

−1 ≤ x < 1

∪

x−1 < x+1

x ≥ 1

, si avrà quindi

0 < −2

x < 1

cioè non si hanno soluzioni e

x > 0

−1 ≤ x < 1

cioè 0 < x < 1 e

0 < 2

x ≥ 1

cioè x ≥ 1; si avrà pertanto x > 0

Answer:

he action or condition of becoming or being made wider, larger, or more open.

Step-by-step explanation:

Answer:

210 cm^2

Step-by-step explanation:

Area1:

6*3 = 18 cm^2

Area2:

6*7 = 42 cm^2

Area3:

6*5 = 30 cm^2

Area4:

6*11 = 66 cm^2

Area5 (*2):

(11+7)*3*1/2

18*3*1/2

54*1/2

27 cm^2 (*2) = 54 cm^2

54 + 66 + 30 + 42 + 18 = 210 cm^2

The rate of the speeding car is 0.493.

We have,

The police car is at 80 mph and it is 44 yards from the intersection, is increasing at 45 mph, while the other car is 117 yards away from the intersection.

So, Rate of speeding car

= (45- 80)/ (117- 44)

= -35/(-73)

= 35/73

= 0.493

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Step-by-step explanation:

x-8/2 = x-5/5

5(x-8) = 2(x-5)

5x-40 = 2x-10

3x= 30

x = 10

Answer:

x = 10

Step-by-step explanation:

\(\frac{x-8}{2}\) = \(\frac{x-5}{5}\) ( cross- multiply )

5(x - 8) = 2(x - 5) ← distribute parenthesis on both sides

5x - 40 = 2x - 10 ( subtract 2x from both sides )

3x - 40 = - 10 ( add 40 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

The solution to the given linear inequality, r - 6 > -11, is r > -5

From the question, we are to determine the solution of the given inequality

The given inequality is

r - 6 > -11

To determine the solution of the inequality, we will solve the inequality for the unknown variable.

In the inequality, the unknown variable is r.

Solving the inequality for r

r - 6 > -11

Add 6 to both sides

r - 6 + 6 > -11 + 6

r > -5

Hence, the solution is r > -5

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Answer:

V= 6/w

Step-by-step explanation:

The requried, percentage of students who study less than 2.50 hours a day is approximately 25.14 percent.

A Z-score is stated as the fractional model of data point to the mean using standard deviations.

We need to convert 2.50 hours to a standard score (z-score) using the formula,

z = (x - μ) / σ

where x is the value we want to convert, μ is the mean, and σ is the standard deviation.

z = (2.50 - 3.00) / 0.75

z = -0.67

This means that 2.50 hours is 0.67 standard deviations below the mean.

We can use a standard normal distribution table or a calculator to find the percentage of the distribution that falls below this standard score. For example, using a standard normal distribution table, we can look up the area to the left of z = -0.67 and get:

P(z < -0.67) = 0.2514

So the correct answer is (a) 25.14 percent.

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Answer:

49(17+3) =980

Step-by-step explanation:

49*17+49*3

49(17+3)

49*20

980

Answer:

the answer is 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is 2, because it is the only factor that can go with both of the numbers.

Answer:

18.75 sq.feet

Step-by-step explanation:

According to the question

1 card = 18 sq.in

150 cards = 150 * 18

                =  2700 sq.in

                = 18.75 sq.feet

Answer:

yes abis in 1 or more endpoint

Step-by-step explanation:

Answer:

Top right and bottom right

Step-by-step explanation:

The coefficient matrix for the top left system is

\(\begin{bmatrix} 2 & 1 & 2 \\ 1 & 0 & 5 \\ 3 & 1 & 1 \end{bmatrix}\)

For there to be an inverse, the determinant has to be non-zero.

Using this logic to find the coefficient matrices for the other systems, we get the answers to be the top right and bottom right systems.

Answer:

\(\dfrac{5e^2}{2}\)

Step-by-step explanation:

Differentiation is an algebraic process that finds the slope of a curve. At a point, the slope of a curve is the same as the slope of the tangent line to the curve at that point. Therefore, to find the slope of the line tangent to the given function, differentiate the given function.

Given function:

\(y=x^2\ln(2x)\)

Differentiate the given function using the product rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)

\(\textsf{Let\;$u=x^2}\)\(\textsf{Let\;$u=x^2$}\implies \dfrac{\text{d}u}{\text{d}x}=2x\)

\(\textsf{Let\;$v=\ln(2x)$}\implies \dfrac{\text{d}v}{\text{d}x}=\dfrac{2}{2x}=\dfrac{1}{x}\)

Input the values into the product rule to differentiate the function:

\(\begin{aligned}\dfrac{\text{d}y}{\text{d}x}&=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}\\\\&=x^2 \cdot \dfrac{1}{x}+\ln(2x) \cdot 2x\\\\&=x+2x\ln(2x)\end{aligned}\)

To find the slope of the tangent line at x = e²/2, substitute x = e²/2 into the differentiated function:

\(\begin{aligned}x=\dfrac{e^2}{2}\implies \dfrac{\text{d}y}{\text{d}x}&=\dfrac{e^2}{2}+2\left(\dfrac{e^2}{2}\right)\ln\left(2 \cdot \dfrac{e^2}{2}\right)\\\\&=\dfrac{e^2}{2}+e^2\ln\left(e^2\right)\\\\&=\dfrac{e^2}{2}+2e^2\\\\&=\dfrac{5e^2}{2}\end{aligned}\)

Therefore, the slope of the line tangent to the graph of y = x²ln(2x) at the point where x = e²/2 is:

\(\boxed{\dfrac{5e^2}{2}}\)

Answer:

Step-by-step explanation:

2/7 + 4/5 mixed forms

2/7 + 4/5 =

38/35 or 1 3/35

Answer:

38/35

Step-by-step explanation:

1. convert to like fractions

2/7-> 10/35

4/5-> 28/35

2. add fractions

10/35 + 28/35 = 38/35

The area of triangle EFG is given as follows:

A = 18.63 square units.

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:

A = 0.5bh

The base is given by segment EF as follows:

\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)

EF = 5.4.

The midpoint of EF is given as follows:

M(6.5, -8).

The height is given by the segment MG as follows:

\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)

MG = 6.9.

Hence the area is given as follows:

A = 0.5bh

A = 0.5 x 5.4 x 6.9

A = 18.63 square units.

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