You walk 3km west and then 4km headed 60" north of east What is your total displacement? a. 5.6km b: 5km 3.6km d. 7km e. 26km

Answer:

i = 1/2 Or 0.5

Step-by-step explanation:

-10 + 8i + 4 + 4i = 12i - 6

12i = 6

i = 1/2 Or 0.5

Answer:

c

Step-by-step explanation:

Answer: immy is selling used books at a yard sale. A customer buys 9 books at a cost of $0.75 each and pays with a $20.00 bill. Jimmy must determine c, the amount of change in dollars he should give the customer. Which equation represents c?

20 minus 0.75 c = 9

20 minus 0.75 = 9 c

0.75 (9) + c = 20

0.75 c + 9 = 20

C / 0.75 (9) + c = 20

Step-by-step explanation:

To find your change, first you must determine how much the customer is paying. To find this, you must multiply the cost of one book by the number of books bought.

The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

To learn more about set ,

https://brainly.com/question/30368748

#SPJ4

There are 0.0015625 square miles in 1 acre, in unit of measurement.

A quantity's comparison to other quantities of the same kind is based on a predetermined, acknowledged by law, and frequently used magnitude of that quantity. A multiple of the measurement unit can be used to express any additional quantity of that type.

An example of a physical quantity is length. The measurement "metre," which begins with the letter "M," stands in for a particular, predetermined length. A length that is 10 times the precise, predetermined length known as "metre" is what is meant when the term "10 metres" is used (or 10 m).

Human endeavour has relied on the definition, acceptance, and practical application of units of measurement from antiquity to the present.

Learn more about unit of measurement

https://brainly.com/question/629451

#SPJ4

so hmmm tripling $380 we end up with $1140, now, since 7/8 is 0.875, that means that Layla's rate is 5.875, whilst Brandon's is 6.125.

\(~~~~~~ \stackrel{ \textit{\LARGE Layla}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 1140\\ P=\textit{original amount deposited}\dotfill &\$380\\ r=rate\to 5.875\%\to \frac{5.875}{100}\dotfill &0.05875\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years \end{cases}\)

\(1140 = 380\left(1+\frac{0.05875}{4}\right)^{4\cdot t} \implies \cfrac{1140}{380}=1.0146875^{4t} \\\\\\ 3=1.0146875^{4t}\implies \log(3)=\log(1.0146875^{4t}) \\\\\\ \log(3)=t\log(1.0146875^{4})\implies \cfrac{\log(3)}{\log(1.0146875^{4})}=t\implies \boxed{18.84\approx t} \\\\[-0.35em] ~\dotfill\)

\(~~~~~~ \stackrel{ \textit{\LARGE Brandon}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 1140\\ P=\textit{original amount deposited}\dotfill &\$380\\ r=rate\to 6.125\%\to \frac{6.125}{100}\dotfill &0.06125\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years \end{cases}\)

\(1140 = 380\left(1+\frac{0.06125}{12}\right)^{12\cdot t} \implies \cfrac{1140}{380}=\left( \cfrac{9649}{9600} \right)^{12t}\implies 3=\left( \cfrac{9649}{9600} \right)^{12t} \\\\\\ \log(3)=\log\left[ \left( \cfrac{9649}{9600} \right)^{12t} \right]\implies \log(3)=t\log\left[ \left( \cfrac{9649}{9600} \right)^{12} \right]\)

\(\cfrac{\log(3)}{ ~~ \log\left[ \left( \frac{9649}{9600} \right)^{12} \right] ~~ }=t\implies \boxed{17.98\approx t} \\\\[-0.35em] ~\dotfill\\\\ 18.84~~ - ~~17.98 ~~ \approx ~~ \text{\LARGE 0.86}\)

A data distribution having the bulk of the data at the lower numbers is said to be skewed to the right, which means that the majority of the values are clustered on the left side of the graph.

Correct answer will be:-  The mean is smaller than the median.

The mean of this type of distribution is smaller than the median, and the median is a better measure of central tendency. When summarizing this type of data distribution, we should use the mean and standard deviation to get an idea of the spread of the data.

The mean can be misleading because it is affected by extreme values, whereas the standard deviation provides a more accurate picture of the data's spread. In this case, the mean and standard deviation will be lower than if the data was normally distributed.

know more about data distribution here

https://brainly.com/question/19990551#

#SPJ11

This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.

When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.

One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.

Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.

Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.

Learn more about nonlinear problem: brainly.com/question/31457669

#SPJ11

Note that the first method has the smaller Mean Absolute Error (MAE) which is 1.75

The mean absolute error (MAE) is defined as the average variance between the significant values in the dataset and the projected values in the same dataset.

The steps to finding the MAE in eah case is

For the 1st method

Absolute error (AE) for day 1 = |23 - 23| = 0

AE for day 2 = |5 - 10| = 5

AE for day 3 = |14 - 15| = 1

AE  for day 4 = |20 - 19| = 1

so MAE = (0 + 5 + 1 + 1) / 4 = 1.75

For the 2nd system,

Absolute error (AE) 1 = |20 - 23| = 3

AE for day 2 = |13 - 10| = 3

AE  for day 3 = |14 - 15| = 1

AE for day 4 = |20 - 19| = 1

So the  MAE = (3 + 3 + 1 + 1) / 4 = 2

We can conclude, hence, that t the first method has the smaller   MAE of 1.75.

Learn more about Mean Absolute Error:

https://brainly.com/question/15114851
#SPJ1

If one item is chosen from m items, a second item is chosen from n items, and a third item is chosen from p items, the total number of three-item choices is MNP.

Probability  can be regarded as a  measure of the likelihood of an event  that can take place.

It should be noted that  Many events cannot be predicted with total certainty, hence , If one item is chosen from m items, a second item is chosen from n items, and a third item is chosen from p items, the total number of three-item choices is MNP.

Learn more about probability on:

https://brainly.com/question/24756209

#SPJ4

Answer:

\(-5p^2-9pq+17q^2\)

Step-by-step explanation:

\((p-4q) (3p+q) - (2p+3q) (4p-7q)\\\\\mathrm{Expand}\:\left(p-4q\right)\left(3p+q\right):\quad 3p^2-11pq-4q^2\\=3p^2-11pq-4q^2-\left(2p+3q\right)\left(4p-7q\right)\\\\\mathrm{Expand}\:-\left(2p+3q\right)\left(4p-7q\right):\quad -8p^2+2pq+21q^2\\=3p^2-11pq-4q^2-8p^2+2pq+21q^2\\\\\mathrm{Simplify}\:3p^2-11pq-4q^2-8p^2+2pq+21q^2:\\\quad -5p^2-9pq+17q^2\)

Answer:

-5p² -9pq +17q²

Step-by-step explanation:

Please see attached picture for full solution.

Responder:

a) 1

b) 12

c) 3

d) -1 y 3

Explicación paso a paso:

Dadas las siguientes ecuaciones;

a) x²-x =0

x² = 0+x

x² = x

x = 1

b) -x²+12x = 0

-x² = -12x

x² = 12x

x = 12

c) 3x² - 9x = 0

Suma 9x a ambos lados

3x²-9x+9x = 0+9x

3x² = 9x

3x = 9

x = 9/3

x = 3

d) x²-2x-3 = 0

x²-3x+x-3 = 0

x(x-3)+1(x-3) = 0

(x+1)(x-3) = 0

x+1 = 0 y x-3 = 0

x = -1 y 3

Answer:

m is -3/2

c is -5/2

Step-by-step explanation:

The standard linear equation is given by;

\({ \tt{y = mx + c}}\)

» m is the slope and c is the y-intercept

Then, our slope is;

\( { \tt{2y + 3x = - 5 }} \\ \\ { \tt{2y = - 3x- 5}} \\ \\ { \tt{y = - \frac{3}{2}x - \frac{5}{2} }}\)

The slope of this line is 0. If you graph the line y=10, for any x value, the y-value remains 10 (denoted because x is equal to 0 in the actual equation shown, which means that x will not be shown in the equation). The graph would basically just be a straight horizontal line, neither curving up or down.

Answer:

The total number of nails in Susan's box is 660 nails

Step-by-step explanation:

The given parameters are;

The number of small nails in John's box = 65

The number of medium nails in John's box = 40

The number of large nails in John's box = 45

The number of medium nails in Susan's box = 176

The ratio of the nails in John's box  is given as follows;

The ratio of small nails in John's box = 65/(65 + 40 + 45) = 13/30

The ratio of medium nails in John's box = 40/(65 + 40 + 45) = 4/15 = 8/30

The ratio of large nails  in John's box = 45/(65 + 40 + 45) = 3/10 = 9/30

Given that the proportion of the nails in John's box and Susan's box are the same, we have;

The ratio of medium nails in Susan's box =  8/30

Therefore;

Where the total number of nails in Susan's box = X, we have;

8/30 × X = 176

X = 176 × 30/8 = 660 nails

The total number of nails in Susan's box = 660 nails.

Using proportions, it is found that the total number of nails in Susan's box was 660.

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

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

Since the proportions are equal:

\(\frac{40}{150} = \frac{176}{x}\)

\(40x = 150\times176\)

\(x = \frac{150\times176}{40}\)

\(x = 660\)

The total number of nails in Susan's box was 660.

A similar problem is given at https://brainly.com/question/19905617

The value that correctly fills in the blank in the previous sentence is m∠L.

In an isosceles triangle, the angles opposite to the congruent sides are also congruent. Therefore, if △ABC≅△KLM, it implies that the corresponding angles of the two triangles are congruent. In this case, angle B in triangle ABC corresponds to angle L in triangle KLM. Hence, m∠B and m∠L are equal.

To understand this concept further, consider the side lengths and angles of the two congruent triangles. Since the triangles are congruent, their corresponding sides and angles are equal. In this scenario, if △ABC≅△KLM, it means that side AB is congruent to side KL, side BC is congruent to side LM, and side AC is congruent to side KM.

Additionally, angle A is congruent to angle K and angle C is congruent to angle M. Based on this, we can conclude that angle B in triangle ABC must be congruent to angle L in triangle KLM. Therefore, m∠B = m∠L.

Learn more about congruent here:

https://brainly.com/question/30596171

#SPJ11

Step-by-step explanation:

to find this angle you can use the sin ratio seeing that the opposite has been given which is 35 and the hypotenuse which is 48.so the solution will be

sin?=opposite/hypotenuse

sin?=35/48

sin?=0.729

?=sin inverse of 0.729

?=46.8 rounded off to 47°

I hope this helps

Hi

in application of sinus formula : ( must learn your trigonimetric formulas by heart !)

value of ? is sin^(-1) = (35/48) = 46,8. so 47 when rounded to the nearest degree

Answer:

No, because each output of altitude has more than one input of time. ... No, because the altitude is constant between 60 minutes and 130 minutes

Step-by-step explanation:

look at the graph

Answer: C

Step-by-step explanation:

if it has a diameter of 6, that means its radius is half that or 3.

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=7 \end{cases}\implies V=\pi (3)^2(7)\implies V\approx 197.92\)

Answer:

V=197.92

Step-by-step explanation:

Diameter (d) =6

Height (h) =7

Solution:

V=π(d/2)^2

H=π(6/2)^2 . 7=197.92034

Answer:

710°

Step-by-step explanation:

360° because you make a full rotation + 270° because you go 3/4 of the way around + 80° = 710° total.

Answer:

The displac ment between t = 1 and t = 4 is 272 feet

Step-by-step explanation:

To get the displacement of the ball, we first need to get the equation for the position of the ball with respect to time.

We can do this by differentiating the velocity equation given:

v(t) = -32t +96

integrating between the limits of t = 1 and t = 4, we have

\(s = \int\limits^4_1 {-32t +96} \, dt\)

\(s(t) = -32t^2/2 +96t\)

\(s =[ -16t^2 +96t] t = 4, t =1\)

where t = 4.

s = 256 + (96) =352 feet

Where t = 1

s = 80

Displacement of the ball = 352 -80 = 272ft

The displac ment between t = 1 and t = 4 is 272 feet

The graph of the change in Cmax is (see in attachments).

Cmax  Change in Cmax  predicted percentage

2.34                         29.5 22.96%

2.46                 40.7         20.62%

1.87                         5.3         32.14%

3.09                23.3          8.32%

5.59               -45.1     -40.47%

4.05                     -35.3        -10.42%

6.21                      -44.6        -52.58%

2.34                       29.5          22.96%

Graph:

A graph is a logical visual representation of any data in mathematics. The correlation between the variable values is depicted on the graph. A graph is used in graph theory to depict a group of items that are interconnected in some way. In essence, the vertices or nodes of the objects are mathematical notions, and the edges are representations of the connections between the nodes. In mathematics and statistics, many graph types are used to visually display data. The study of points and lines is the focus of the field of graph theory. It is a branch of mathematics with a focus on graph analysis. The mathematical truth is visually illustrated in this image. Relationships are studied using the graph theory.

To learn more about graph visit: https://brainly.com/question/17267403

#SPJ4

Answer:

4x^4+3x^2y^2+9y^2

(2x^2)^2 + 2×2x^2×3y^2 + (3y^2)^2 - 9

(2x^2 + 3y^2)^2 - (3)^2

(2x^2 +3y^2+3)(2x^2+3y^3-3)

To draw a rectangular array for 24 x 18 on graph paper, we create a grid with 24 rows and 18 columns.

The partial-products algorithm for multiplying 24 and 18 involves breaking down the multiplication into smaller, manageable steps. The array helps visualize these steps and demonstrates why the algorithm yields the correct answer. Using the array, we start by dividing the 24 x 18 rectangle into smaller squares that represent individual partial products. Each row in the array corresponds to a digit in the multiplier (24), and each column corresponds to a digit in the multiplicand (18). We fill in the array by multiplying the corresponding digits in the multiplier and multiplicand.

For example, the first partial product is obtained by multiplying the rightmost digit of the multiplier (4) by each digit in the multiplicand (8, 1). We place the result, 32, in the corresponding square in the array. Similarly, we calculate the other partial products and place them in the corresponding squares. To find the final product, we sum up all the partial products in the array. In this case, we add up the values in all the squares to get 432, which is the correct answer to 24 x 18.

The array demonstrates why the partial-products algorithm works. By breaking down the multiplication into smaller steps and organizing them in the array, we ensure that each digit in the multiplier is multiplied by each digit in the multiplicand. The array visually represents the distributive property of multiplication, where each digit in one number is multiplied by each digit in the other number. Adding up the partial products gives the total product, ensuring the correct result. The array provides a visual proof of why the partial-products algorithm yields the correct answer to the multiplication problem.

To learn more about rectangular array click here:

brainly.com/question/29199707

#SPJ11

Answer:

40%

Step-by-step explanation:

➡6/15×100

➡600/15

➡40%

Answer: 40% of the plants are carrots

Step-by-step explanation:

In order to figure out the percentage, we have to find what "part" of the "total" are the carrots, which is given. We already know that 6 of the total 15 plants are carrots. When referring to a percentage, basically we are trying to find out how many carrots there would be, if we were to have 100 plants. So, in order to do so, we would need 100 plants. I'll make it even more simple:

We have 15 plants - 6 of which are carrots

If we were to have

100 plants         - HOW MANY would be carrots??

The answer to our question is also the percentage we are looking for. If we replace HOW MANY with x, than we would have this equation: 15*x=6*100, so 15x=600 and x=40, so the percentage is 40%.

In order to make this easier, as i said in the beginning we are referring to the part of a total, with given numbers, so if we would divide 6 out of 15, we would have 6/15=0.4 , multiplying that number with 100 (for the percentage), you get 40% again, with a faster and easier way. Practice makes perfect.

The equity beta for a firm is 0.944.

Equity Beta:

Equity Beta measures the volatility of the stock to the market, i.e., how sensitive is the stock price to a change in the overall market. It compares the volatility associated with the change in the prices of a security.

The formula to calculate equity beta:

Equity beta = Asset beta ( 1 + D/E( 1 - Tax))

Asset beta = 0.8

D/E = 0.3

Tax rate = 40%

Equity beta =  0.8 ( 1 + 0.3( 1- 40/100))

                   = 0.8 ( 1 + 0.3 × 6/10)

                   = 0.8 ( 1 + 0.18)

                   = 0.8 × 1.18

                   =0.944

Therefore the equity beta is 0.944.

To know more about the equity beta refer to the link given below:

https://brainly.com/question/23926595

#SPJ4

The nature of the distance travelled by the hour hand of a clock in 3 hours can be described as circular and rotational.

The hour hand moves along the circumference of the clock face, following a circular path. In 3 hours, it covers 1/4 of the clock's full rotation (12 hours).

The angle it traverses in this time is 90 degrees, as it moves from one hour marking to another at a steady pace. The distance covered by the hour hand depends on the clock's radius.

To calculate this distance, multiply the radius by the angle in radians (90 degrees = 1.57 radians) and then multiply by 2 to account for the hour hand's full path.

Learn more about hour hand at

https://brainly.com/question/23165724

#SPJ11

The variance of a random variable X, with a domain between 0 and c, is upper bounded by 4c^2.

To show that VAR[X] ≤ 4c^2, we start with the definition of variance:

VAR[X] = E[(X - E[X])^2]

Let's denote E[X] as μ. Since X is bounded between 0 and c, we have 0 ≤ X ≤ c. Therefore, the maximum deviation from the mean is c - μ.

Now, using the upper bound property of the square function, we have:

(X - μ)^2 ≤ (c - μ)^2

Taking the expectation of both sides, we get:

E[(X - μ)^2] ≤ E[(c - μ)^2]

Simplifying further, we have:

VAR[X] ≤ E[(c - μ)^2]

Expanding the square, we get:

VAR[X] ≤ E[c^2 - 2cμ + μ^2]

Since μ is the mean of X, we know that E[X] = μ. Therefore, 2cμ = 2cE[X] = 2cμ.

Thus, we have:

VAR[X] ≤ E[c^2 - 2cμ + μ^2] = E[c^2] - 2cE[X] + E[X^2]

Since 0 ≤ X ≤ c, we have X^2 ≤ c^2. Therefore, E[X^2] ≤ E[c^2].

Substituting this into the inequality, we get:

VAR[X] ≤ E[c^2] - 2cE[X] + E[X^2] ≤ E[c^2]

Finally, using the property that E[c^2] = c^2 for any constant c, we arrive at:

VAR[X] ≤ c^2 ≤ 4c^2

Thus, the variance of X is upper bounded by 4c^2.

Learn more about Variance click here :brainly.com/question/25639778

#SPJ11

The length (in cm) of an arc of a circle 5π

60°=π/3 radians

A unit circle's arc length is expressed in radians.

We may get the length of an arc using the following formula given an angle and a circle's diameter: ArcLength = (angle / 360) * (2 * pi * radius) Pi equals 22/7, diameter equals 2 * radius, and angle is in degrees.

If a unit circle's arc length is π/3,

(that is a circle with a radius of 1)

For a circle with a radius of 15, the arc length for the same angle would be

X15xπ/3

=5π

Know more about arc of a circle

https://brainly.com/question/17353325

#SPJ4