a boat traveled in a straight line through calm seas until it was 43 kilometers west and 41 kilometers south of its original position. answer _____ km

Answer:

64

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

The equations of the lines are y = 3x - 5 and y = (1/2)x - 7

An equation is an expression that shows how numbers and variables are related to each other.

A linear function is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Two lines are parallel if they have the same slope

1) y = 3x + 6; (4, 7)

The parallel line would have a slope of 3 and pass through (4, 7), hence:

y - 7 = 3(x - 4)

y = 3x - 5

2) y = (1/2)x + 5; (4, -5)

The parallel line would have a slope of 1/2 and pass through (4, -5), hence:

y - (-5) = (1/2)(x - 4)

y = (1/2)x - 7

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The answer is 0.68 and 2/3

Hoped that helped

Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.

Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.

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The answer to the question, "Which of the following is not a step in hypothesis testing?" is option A. Conduct a literature review. What is a hypothesis? A hypothesis is a prediction of what a researcher expects to find. It is a statement about what a research study's outcome will be. The steps of Hypothesis testing. The following are the steps involved in hypothesis testing: Step 1: State the null hypothesis (H0). Step 2: State the alternative hypothesis (H1). Step 3: Determine the significance level. Step 4: Calculate the test statistic value. Step 5: Determine the critical value. Step 6: Compare the test statistic value with the critical value. Step 7: Reject or fail to reject the null hypothesis. Step 8: Interpret the results. The answer to the question, "Which of the following is not a step in hypothesis testing?" is option A. Conduct a literature review.

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Answer:

they payed 3.825 each

Step-by-step explanation:

15% of 51 is 7.65 so you divide that by two and get 3.825

Answer:

Answer:

Tip Total: $ 7.65

Tip Each Person: $ 3.83

Total (Bill + Tip): $ 58.65

Total Each Person: $ 29.33

*I hope it helped!!*

Step-by-step explanation:

Answer: the answer would be 16

Step-by-step explanation:

it’s because the volume is V = 1/3 Bh and B is the area of the base and h is the height.

Answer:

80

Step-by-step explanation:

Answer:

2^2 ( 1,2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)  =  4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44,48

3^2(1,2,3, 5)   =  9, 18, 27, 45

5^2(1, 2)  = 25, 50

7^2  = 49

19  numbers

Step-by-step explanation:

We can convert a parabola equation from standard form to vertex form. This is in the vertex form and has the formula y = a (x - h)2 + k. The vertex, in this case, is (h, k)=(-1,-6)

Standard Form

A parabola's standard form is: y = ax2 + bx + c

Here, a, b, and c are real numbers (constants), with a = 0. x and y are variables, with (x, y) representing a parabola point.

Vertex Form

A parabola's vertex form is: y = a (x - h)2 + k

Here, a, h, and k are real numbers, with a = 0. x and y are variables, with (x, y) representing a parabola point.

There is a "whole square" in the vertex form, y = a (x - h)2 + k. To convert from standard to vertex form, we simply need to complete the square. Aside from that, we have a formula method for doing this. Let us investigate both methods.

By Finishing the Square

Consider the following standard-form parabola: y = -3x2 - 6x - 9 and complete the square to get the vertex form. First, we must ensure that the x2 coefficient is 1. If the coefficient of x2 is NOT 1, the number will be placed outside as a common factor. We'll get: y = 3x2 6x 9 = 3 (x2 + 2x + 3).

Now, the coefficient of x2 is 1. Here are the steps to convert the above expression into the vertex form.

Determine the x coefficient. 3 (x2 + 2x + 3)

Divide it in half and square the result.

(2/2)^2 = 1^2 = 1

Y= -3(x2+2x+1-1 +3)

Using the appropriate identity, factor the perfect square trinomial formed by the first three terms.

We can use x2 + 2xy + y2 = (x + y) in this case.

x2 + 2x + 1 = (x + 1) in this case.

The preceding expression becomes:

Y= -3 (x2 + 2x + 1-1 +3)

Y= -3(x+1)^2 – 1 +3

The last two numbers should be simplified, and the outside number should be distributed.

Here, -1 + 3 = 2. As a result, the preceding expression becomes:

Y= -3(x+1)^2 + 2

Y = -3(x+1)^2 - 6

This is in the vertex form and has the formula y = a (x - h)2 + k. The vertex, in this case, is (h, k)=(-1,-6)

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Answer:

10^2 × 10^2

Step-by-step explanation:

Given that

Write 100 times 100 that would be multiplying  to the power by 10

So based on the above information

The equation that would be developed is

10^2 × 10^2

The same would be represented as an answer

A chi-squared test is a statistical method used to compare observed and expected data variances. It determines if a relationship exists between two variables using a chi-squared statistic. The degrees of freedom are calculated using the formula df = (r - 1) * (c - 1), where r is the number of rows and c is the number of columns. The formula for the chi-square test with probabilities of high success, moderate success, small success, and loss is df = (4 - 1) * (1 - 1) = 3.

The correct answer is b. 4What is a Chi-Square test?A chi-squared test is a statistical method used to compare the variance of observed data and the expected variance of that data. A chi-squared test is a type of hypothesis test that uses a chi-squared statistic to determine whether a relationship exists between two variables or not.

The degrees of freedom are defined as the number of variables that can be changed without affecting the outcome of a statistical test. In the case of a chi-square test, the degrees of freedom are calculated using the formula df = (r - 1) * (c - 1), where r is the number of rows and c is the number of columns in the contingency table.

The degrees of freedom for the chi-square test with the given probabilities of high success, moderate success, small success, and loss can be calculated using the formula

df = (4 - 1) * (1 - 1) = 3,

where there are four categories and one parameter (the sum of the probabilities equals 1) is estimated. Therefore, the answer is c. 3.

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The reasonable domain for this function is a set of positive real numbers less than or equal to 50. This is because the perimeter of a rectangle is calculated by adding the lengths of all its sides, and in this case, the perimeter is fixed at 100 units. Therefore, the dimensions of the rectangle should be positive real numbers that satisfy the condition of the perimeter being 100 units.

In a rectangle, the perimeter is calculated by adding the lengths of all four sides. In this case, the perimeter is fixed at 100 units. To find the dimensions of the rectangle, we need to determine the lengths of its sides.

Let's consider the length of one side as x. Since the opposite side of the rectangle must also have the same length, the other side can also be represented as x. Similarly, the remaining two sides will have lengths of (50 - x) and (50 - x) to maintain the total perimeter of 100 units.

To ensure that the dimensions are realistic, the domain of the function should be restricted to positive real numbers. Additionally, the dimensions cannot exceed half the perimeter, which is 50 units in this case. Therefore, a reasonable domain for this function would be a set of positive real numbers less than or equal to 50.

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The midpoint formula and the normal vector of the plane can be used to determine the equation of the plane that contains all points equidistant from the points (1,0,-2) and (3,4,0).

Given by: The midpoint of the two points is:

M = [(1 + 3)/2, (0 + 4)/2, (-2 + 0)/2] = (2, 2, -1) (2, 2, -1)

The following vector runs between the two points:

V = (3 - 1, 4 - 0, 0 - (-2)) = (2, 4, 2) (2, 4, 2)

The cross product of two non-parallel plane vectors yields the normal vector to the plane. The midpoint M to a point on the plane is one such vector, while the other is the vector V. Consider the point P = (2, 2, -1) + t(2, 4, 2) as an illustration, where t is a scalar.

The normal vector is then provided by:

N = V x (P - M) = (2, 4, 2) x (2t, 4t, 2t -1), which equals (12t, -8t, 4t + 2)

The point-normal form, which makes use of the normal vector N and the point M, can be used to determine the equation for the plane:

(x - 2) * 12t = (y - 2) * -8t = (z + 1) * 4t + 2

The final equation of the plane is obtained by multiplying both sides of the equation by t and setting t 0.

12(x - 2) = -8(y - 2) = 4(z + 1) + 2

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Answer:

6 roses

Step-by-step explanation:

divide 21 and 3.50 hope this helps:)

Answer:6

Step-by-step explanation:

21 Divided by 3.5 = 6

600 cactus wren nests the experimenter would expect to be in the entire 200-acre preserve.

To estimate the number of cactus wren nests in the entire 200-acre preserve, we can use the ratio of the area surveyed to the number of nests found.

Let's call the number of nests in the entire 200-acre preserve "N".

The ratio of the area surveyed to the number of nests found is:

2 acres / 6 nests = 200 acres / N nests

We can use this ratio to find the number of nests in the entire 200-acre preserve:

N nests = 200 acres * (6 nests / 2 acres)

N nests = 200 * 3

N nests = 600

So the experimenter would expect to find approximately 600 cactus wren nests in the entire 200-acre preserve, assuming that the habitat is fairly uniform.

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1st = -2

2nd = 3

3rd = -4

4th = 5

47th = -48

Answer: 72 degrees

Step-by-step explanation:

The fourth vertex's coordinates are as follows: ( 2.1, -3.6)

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

So, let the missing coordinates be (a,b).

Let's now utilize the midpoint formula to locate the erroneous coordinate.

Let the reference point be (-2.3, 3.6) A.

Let point B be (2.3, 2.2).

(2.1, 2.2) Let C be the point.

The center of AC should be at BD.

Step 1: Locating the AC's midpoint

Middle pint of AC:

(-2.3 + 2.1/2), (-3.6 + 2.2/2)

(0.2/2), (1.4/2)

(-0.1, -0.7)

Let's equate the midpoints in step two.

The BD mid-point:

(a + -2.3/2), (b + 2.2/2) =  (-0.1, -0.7)

(a + -2.3/2) = -0.1

(a -2.3/2) = -0.1*2

a = -0.2+2.3

a = 2.1

(b + 2.2/2) = -0.7

b + 2.2 = -0.7*2

b + 2.2 = -1.4

b = -1.4 -2.2

b = -3.6

Therefore, the fourth vertex's coordinates are as follows: ( 2.1, -3.6)

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Complete question:

Freddy drew a plan for a rectangular piece of material that hehe will use for a blanket. Three of the vertices are ​( -2.3 and −3.6​), ​(−2.3​, and 2.2​), and ​(2.1​, and 2.2​). What are the coordinates of the fourth​ vertex?

Answer:

196π

Step-by-step explanation:

cylinder: π * (7/2)^2 * 13

cone: 1/3 π (7/2)^2 * (22-13)

The Probability that the third student will draw a red or blue marble is 20/44, which simplifies to 5/11 or approximately 0.45.

To find the probability that the third student will draw a red or a blue marble, we need to first calculate the total number of marbles remaining in the bag after the first two students draw theirs.

The first student draws a yellow marble, leaving 9 yellow, 10 red, 10 blue, 8 green, and 8 purple marbles in the bag.

The second student draws a purple marble, leaving 9 yellow, 10 red, 10 blue, 8 green, and 7 purple marbles in the bag.

Therefore, the total number of marbles remaining in the bag is 44.

Of those 44 marbles, there are 10 red and 10 blue marbles, for a total of 20 marbles that the third student could potentially draw.

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Answer:

332.08 feet

Step-by-step explanation:

Let h be the height of the window washer above the street

Using trigonometric ratio

\(\tan 73^\circ=\dfrac{h}{100}\\ h=100 \times \tan 73^\circ\\h=327.08$ feet\)

The distance of the window washer above the street

=327.08+5

=332.08 feet

The window washer is 332.08 feet above the street.

Answer:

2730$

4200×35/100

=4200×0.35

=1470$

1470$ is reduced so

4200$-1470$

=2730$

Answer:

182,427.03

Step-by-step explanation:

total cost =    r*p*n

                   ---------------

                     1- (1+r) ^-n

Where r is the loan rate, p is the principal, n is the number of payments

rate = 4.04% / 12 months

total cost = (.0404/12)* 125000* 240

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

                     1- (1+.0404/12)^-240

101000

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

1-.44635

101000

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

.55364

182,427.03

Using Payments are 730 *240 months

730*240 =175200

The length of BC in this problem is given as follows:

BC = 3.6.

Two triangles are defined as similar triangles when they share these two features listed as follows:

The similar triangles for this problem are given as follows:

ABC and ADE.

Hence the proportional relationship for the side lengths is given as follows:

3/5 = BC/6.

Applying cross multiplication, the length BC is given as follows:

BC = 6 x 3/5

BC = 3.6.

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Answer:

\(\huge\boxed{\sf 3x -4}\)

Step-by-step explanation:

Add both equations.

= 2x + 1 + x - 5

Combine like terms

= 2x + x + 1 - 5

\(\rule[225]{225}{2}\)

Answer:

f(x) + g(x) = 3x - 4

Step-by-step explanation:

The problem is,

→ f(x) + g(x)

Let's solve the problem,

→ f(x) + g(x)

→ (2x + 1) + (x - 5)

→ 2x + 1 + x - 5

→ (2x + x) + (1 - 5)

→ 3x +(-4)

→ 3x - 4

Hence, answer is 3x - 4.

All of the values that m could take include the following: -3.5, -5, and -7

In Mathematics and Geometry, a number line simply refers to a type of graph that is composed of a graduated straight line, which typically comprises both negative and positive numerical values (numbers) that are located at equal intervals along its length.

This ultimately implies that, all number lines would primarily increase in numerical value towards the right from zero (0) and decrease in numerical value towards the left from zero (0).

From the number line shown in the image attached below, we can logically deduce the inequality:

x ≤ -3

Therefore, the numerical values for x could be equal to -3.5, -5, and -7

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Based on the text, the primary source of primate endangerment today is habitat destruction.

Habitat destruction is considered the primary source of primate endangerment based on various factors mentioned in the text. Primates, like many other species, heavily rely on their natural habitats for survival, including food, shelter, and breeding. However, human activities such as deforestation, urbanization, and land conversion for agriculture or infrastructure development have significantly reduced and fragmented primate habitats.

Habitat destruction leads to the loss of critical resources and disrupts the ecological balance necessary for primate populations to thrive. As their habitats shrink, primates face increased competition for limited resources, reduced access to food and water sources, and decreased opportunities for successful reproduction and rearing of offspring. This loss of habitat also exposes primates to increased vulnerability to predation, disease transmission, and human-wildlife conflicts.

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Answer:

The answer is B. 0.71

Step-by-step explanation:

The probability that the participant brought both a microwave and a console is 0.65.

Since a survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought a video game console, and 50 brought neither a microwave nor a game console, to determine what is the probability that the participant brought both a microwave and a console the following calculation must be performed:

Therefore, the probability that the participant brought both a microwave and a console is 0.65.

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Answer:

nonlinear

Step-by-step explanation:

because the axis is located below so its all gucci

Answer:

Nonlinear

Step-by-step explanation:

It's actually a parabola because it has a squared value.

Hope that helps and have a great day!

I believe it is A: y = 1/2x-2.

If this is incorrect, please, don't refrain to tell me.