(1 point) Find a unit vector that has the same direction as (4, -9, -1): 200 Find a vector that has the same direction as (4, -9, -1) but has length 8: 00 ) (1 point) A child pulls a sled through th

Answer:

Slope: -5/4

y-intercept: 5

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

The area of the given parcel is 4.4 acres.

The given parcel is located in the SW1/4 of the SW1/4 of the NW1/4 of the SE1/4 of the N1/2 of the NE1/4 of Section 13.

Therefore, the parcel is located in the southwest quadrant of the section.

There are different methods of calculating the area of the parcel.

Here, we will be using the Chain Survey method for calculating the area of the given parcel.

Steps to calculate the area of the given parcel using the chain survey method are as follows:

Step 1 : Draw the rough sketch of the given parcel.

The rough sketch is shown below:

Step 2 : Calculate the length of the sides of the parcel using the scale.

Step 3 : Calculate the area of each triangle using the formula,

A = 1/2 bh.

The area of each triangle is shown in the diagram below:

Step 4: Add the areas of the triangles to get the total area of the parcel.

Total Area = 4.4 acres.

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Answer: Z<4

Step-by-step explanation:

Rearrange the equation

-3(z-6) - (2z-2)>0

-3z+18-2z+2>0

-5z +20>0

-5(z-4)>0

divide  both side by -5

z-4<0

z<4

Answer:

1 inch = 7.5 feet.

Step-by-step explanation:

24 divided by 24 equals 1. 180 divided by 24 equals 7.5

Answer:

Thats the answer r=-7/6

Step-by-step explaintion

r=-7/6

Answer:

$94.50

Step-by-step explanation:

150 x .30 = 45, so you can $45 off.

105 x .1 = 10.5 so you can take another $10.50 off.

The final price would be $94.50

Answer:

sinJ = \(\frac{12}{13}\)

Step-by-step explanation:

sinJ = \(\frac{opposite}{hypotenuse}\) = \(\frac{IK}{JK}\) = \(\frac{12}{13}\)

The surface area of the shed is given as follows:

S = 367.2 m².

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.

The shed in this problem is composed as follows:

The height of each triangle is obtained as follows:

h² + 3² = 6²

\(h = \sqrt{6^2 - 3^2}\)

h = 5.2 m.

Hence the surface area is given as follows:

S = 2 x (6 x 10 + 6 x 3 + 10 x 3) + 2 x 6 x 10 + 2 x 0.5 x 6 x 5.2

S = 367.2 m².

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Answer:p=12

Step-by-step explanation:

(9p)+(p+21)+(p+27)=180

9*12=108

12+21=33

12+27=39

108+33+39=180

so p=12

The above problems are related to Trigonometry. See the answers below.

Trigonometry is a discipline of mathematics dealing with angle relationships and length ratios. The topic arose in the Hellenistic civilization during the third century BC from geometric applications to astronomical research.

1) Using Cos θ = Adjacent /Hypothenus

Where θ = 58°;

Adjacent = 8 and Hypothenus is x

Cos 58 = 8/x; multiply each side by x

x Cos 58 = 8

0.53x = 8

x = 8/0.53

x = 15.094

x \(\approx\) 15.10 (Option C)

2) Using  Sin θ = Opposite /Hypothenus; where

θ = 37 °

Hypothenus = 30

Opposite  = x

⇒ Sin 37 = x/30; multiply both sides by 30

⇒ 30 Sin 37 = x

x = 30 * 0.60181502315
x \(\approx\) 18.01 (Option C)

3) The function used to solve this problem is Sine (Sin) because the Opposite and Hyphothenus are both given. (Option A)

4) To solve for the problem in this case we must use Option 4 - that is Tan x = 18/13

5) To solve for x in Tan x = 18/13

the expression goes as follows:

x = Tan⁻¹ (18/13)

x = Tan⁻¹  (1.3846153846153846153846153846154)

x = 54.16234705

x \(\approx\) 54.16 (Option C)

6) Note that from the elements listed below those required for an inverse trig problem to find a missing angle are:

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Answer:

No solution

Step-by-step explanation:

The given lines on the graph are parallel . So they will never intersect each other. Therefore they have no solution.

Answer:

8

Step-by-step explanation:

12 divided by 3 is 4 and since its 2/3 you multiple 4 times 2 giving you 8

Answer:

8

Step-by-step explanation:

Multiply amount of books by the fraction of

Answer

100 times 3.14=314 times 360=113,040

Step-by-step explanation:

Answer:

1 in : 6 ft

Step-by-step explanation:

48 / 8 = 6

24 / 4 = 6

It was scaled down by a factor of 6

Answer: 6 feet per inch

The probability that none of the 10 randomly selected MIS graduates from UIUC make above $48,861 in their first job is (0.47)^10, which can be calculated using the binomial probability formula.

To find the probability that none of the 10 graduates make above $48,861, we raise the probability of an individual not making above $48,861 to the power of 10 (since we want all 10 to not make above that amount) and multiply it by the total number of combinations for selecting 10 graduates out of the total population.

Using the binomial probability formula, the probability that none of the 10 graduates make above $48,861 can be calculated as:

\(P(X = 0) = C(10, 0) * (0.47)^0 * (1 - 0.47)^{10-0}\)

where C(10, 0) represents the number of combinations of selecting 0 graduates out of 10.

Simplifying the equation, we find:

\(P(X = 0) = (1) * (1) * (0.47)^{10}\)

Therefore, the probability that none of the 10 randomly selected MIS graduates from UIUC make above $48,861 in their first job is \((0.47)^{10}\).

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Answer:

Quartic function

Step-by-step explanation:

Answer: Quartic function

Step-by-step explanation:

Answer: descriptive statistics

Step-by-step explanation: The average age of everyone in the class is an example of descriptive statistics.

Answer:

forty-five million, nine hundred eighty-seven thousand, one hundred fifty-nine, point nine

Step-by-step explanation:

forty-five million, nine hundred eighty-seven thousand, one hundred fifty-nine, point nine

Answer:

50(5 - 3x)

Step-by-step explanation:

Answer:

\(50(5 - 3x)\)

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

\(gcf = 50\)

2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

\(50( \frac{250}{50} + \frac{ - 150x}{50}) \)

3) Simplify each term in parentheses.

\(50(5 - 3x)\)

Therefor, the answer is 50 ( 5 - 3x ) .

The monthly repayment on the following hire-purchase agreement is £22.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a colour TV costs £640. The deposit was £200. The interest rate was 10% p.a. and it was paid off in two years.

The monthly repayment will be calculated as,

Total interest for two years = ( 640 - 200 ) x 1.2

Total interest for two years = ( 440 x 1.2 )

Total interest for two years = £528

The value of monthly repayment = 528 / 24 = £22

Therefore, the monthly repayment on the following hire-purchase agreement is £22.

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Answer:

Step-by-step explanation:

Answer:

u need to substitute (8,11) in the equation because the line passses through that point

The critical value for a 0.05 significance level with df = 6 is approximately 0.632.To find the critical value for the linear correlation coefficient, we need to use a table or a statistical calculator that provides critical values for different significance levels.

Assuming a significance level of 0.05, which corresponds to a confidence level of 95%, we can find the critical value using the degrees of freedom (df), which is equal to the number of pairs minus 2 (n - 2) in this case.

For a two-tailed test, the critical value for a 0.05 significance level with df = 6 is approximately 0.632.

Now, we compare the calculated correlation coefficient (0.693) with the critical value (0.632).

If the calculated correlation coefficient is greater than the critical value in absolute value, then there is sufficient evidence to support the claim that there is a linear correlation between the heights of mothers and the heights of their daughters.

Since |0.693| > 0.632, we can conclude that there is sufficient evidence to support the claim that there is a linear correlation between the heights of mothers and the heights of their daughters at the 0.05 significance level.

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The diagonal beam joining N and Q forms the dividing line between the two congruent triangles within the gate.

If joining the corners at points N and Q with a diagonal wooden beam of length NQ does not restore the right angles to the gate but divides it into two congruent triangles, it suggests that the gate was not originally a rectangle or a square. A rectangle or square would have right angles at the corners, and joining the opposite corners with a diagonal would restore the right angles. However, since the gate is divided into congruent triangles, it implies that the gate has an irregular shape or a different type of quadrilateral.

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Answer:

9x+5

Step-by-step explanation:

Add x and 8x

The density in butter has a mass of 250g and volume of 290cm³ is 0.862 g/cm³.

Density is a physical property of matter that is defined as the amount of mass per unit of volume. It is measured in units of kilograms per cubic meter (kg/m^3) and is usually represented by the Greek symbol ρ (rho).

Density is a measure of how tightly the particles of a substance are packed together. The denser a substance is, the more mass it contains in a given volume.

Most commonly, density is used to compare different substances, such as solids, liquids, and gases.

In general, solids are more dense than liquids, and liquids are more dense than gases.

The density of a substance can change based on temperature, pressure, and other factors. For example, water has a greater density at 4°C than at any other temperature, and the density of a gas increases with increasing pressure.

Density is an important factor in many physical and chemical processes, including buoyancy, diffusion, and surface tension.

Density is also used in many calculations, such as calculating the volume of a container or the mass of an object.

Density, p = m/v

Where, m is mass of butter and v is volume of butter.

p = 250/290

p = 0.862 g/cm³

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Answer: 6+3 = 9

Step-by-step explanation:

-3-6 is equivalent to 6-(-3). Subtracting a negative number is the same as adding a positive number, so 6-(-3) is the same as 6+3. 6+3 = 9.