Find the side indicated by the variable. Round to the nearest tenth.
PLEASE HELP

The final position after following the treasure map is 144.38 km at 28.1" east of north, and you can find that  treasure in  a biography of Isaac Newton.

To answer the question, you need to use trigonometry and vectors to calculate the total distance travelled and the final position. First, draw a triangle with the initial point being the old oak tree. Label the sides of the triangle as A (825 m south), B (1.25 km at 30.0" west of north), and C (100 km at 40.0" north of east).

Using trigonometry, you can calculate the distance A = 825 m, B = 1.58 km, and C = 143 km. The total distance you travelled is A + B + C = 825 m + 1.58 km + 143 km = 144.38 km.

To calculate the final position, you can use vectors. Vector A is in the South direction and has magnitude 825 m. Vector B is at 30.0" west of north and has magnitude 1.58 km.

Vector C is at 40.0" north of east and has magnitude 143 km. Calculate the resultant vector of the three vectors (A, B, and C) to get the final position. The resultant vector has a magnitude of 144.38 km and a direction of 28.1" east of north.

Therefore, the final position after following the treasure map is 144.38 km at 28.1" east of north, and the treasure you find is a biography of Isaac Newton.

To know more about resultant vector click on below link:

https://brainly.com/question/28188107#

#SPJ11

The volume of the canister is 339.1 cubic inches.

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

The radius of the cylinder is half of the diameter, so the radius of the canister is 3 inches.

Using the formula, we can calculate the volume of the canister as follows:

V = π×3²×12

V = 108×3.14

V = 339.1 cubic inches

Therefore, the volume of the canister is 339.1 cubic inches.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ1

E|X|n < ∞

Let X and Y be independent random variables satisfying E|X+Y|n < ∞ for some a > 0. We can show that E|X|n < ∞ using the triangle inequality.

Let b = a/2. Since E|X+Y|n < ∞, we know that E|X+Y| < ∞. Then by the triangle inequality, we have E|X| < |X+Y| + |Y| < ∞.

Raising both sides of the inequality to the nth power gives us E|X|n < (|X+Y| + |Y|)n < ∞.

Therefore, E|X|n < ∞.

Learn more about triangle inequality

brainly.com/question/30298845

#SPJ11

Answer:

j < 5

Step-by-step explanation:

=> 10 > j+5

Subtracting both sides by 5, we get

=> 10-5 > j

=> 5 > j

OR

=> j < 5

The standard deviation of f$ ar{x},f$ is usually called the "sample standard deviation".

This is a commonly used statistical measure that represents the amount of variation or dispersion within a set of data. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean.

The sample standard deviation is often used to compare the variability of different sets of data and to determine the significance of differences between them. Financial contracts known as derivatives are those entered into by two or more parties and whose value is derived from an underlying asset,

collection of assets, or benchmark. A derivative may be traded over-the-counter or on an exchange. Derivative prices are based on changes in the underlying asset.

To know more about derivative click here

brainly.com/question/29096174

#SPJ11

Answer:

\(f(x) = (x-1)^{2} -7\) is the correct answer.

Step-by-step explanation:

Given that function f(x) is:

\(f(x) = x^{2} -2x-6\)

f(x) is a quadratic function in x, meaning that it has a maximum power of 2 of x.

Vertex form of quadratic function is given as:

\(f (x) = a(x - h)^2 + k\)

i.e. we make whole square of terms of \(x\).

Now, let us try to make whole square term of \(x\).

\(f(x) = x^{2} -2x-6\)

Adding and subtracting 1 from RHS:

\(f(x) = x^{2} -2x-6+1-1\\f(x) = (x^{2} -2x+1)-1-6\\f(x) = (x^{2} -2\times x\times 1+1^2)-7\)

Now, using the formula:

\((a-b)^2 = a^2 -2ab+b^2\)

The given function becomes:

\(f(x) = (x-1)^{2}-7\)

It is comparable to vertex form i.e. \(f (x) = a(x - h)^2 + k\)

where a = 1, h = 1 and k = -7

Hence, the vertex form of given function is:

\(f(x) = (x-1)^{2}-7\)

Answer: A

Step-by-step explanation:

According to the response above

Answer: When you graph part a, it has a negative slope.

Step-by-step explanation:

Answer:

3 and 4

Step-by-step explanation:

The power of the test for this two-sided alternate with p1=0.85 and p2=0.75, and given sample size is dependent on the significance level and effect size.

power of a statistical test is the probability of correctly rejecting the null hypothesis when it is false, and is typically denoted by 1-β, where β is the probability of a Type II error (failing to reject a false null hypothesis).

In this case, we need to determine the power of the test based on the given information. Since the alternative hypothesis is two-sided, we need to consider both tails of the distribution. We can use a standard normal distribution and the Z-test statistic formula to calculate the power.

Using the formula: Z = (p1-p2)/sqrt(p(1-p)/n), where p = (p1+p2)/2, we can calculate the Z-value for the given parameters.

p = (0.85+0.75)/2 = 0.8
Z = (0.85-0.75)/sqrt(0.8*(1-0.8)/n)

Assuming a significance level of 0.05 (α = 0.025 for each tail) and a two-sided test, we can calculate the critical Z-values using a standard normal distribution table.

Z(α/2) = 1.96

To calculate the power, we need to find the probability of rejecting the null hypothesis when the alternative hypothesis is true, which means finding the area under the standard normal curve beyond the critical Z-values.

For a two-sided test, the power is equal to 1 minus the probability of failing to reject the null hypothesis (Type II error). Thus,

Power = 1 - β = 1 - P(Z < -Z(α/2)) + P(Z > Z(α/2))

Substituting the values, we get:

Power = 1 - P(Z < -1.96) + P(Z > 1.96)
Power = 1 - 0.025 + 0.025
Power = 0.95

Therefore, the conclusion is that the power of the test for this two-sided alternate with p1=0.85 and p2=0.75, and given sample size is 0.95, rounded to three decimal places. This indicates a high probability of correctly rejecting the null hypothesis when it is false, which suggests that the test is statistically powerful.

To learn more about decimal places, visit

https://brainly.com/question/30650781

#SPJ11

Answer:

Birds = 8

Mice = 6

Step-by-step explanation:

Conditions

Let the birds = x

Let the mice = y

Equations

x + y = 14

2x + 4y = 40

Solution

Using the top equation solve for x

x = 14 - y

Use this result to substitue for x

2(14 - y) + 4y = 40                      

Remove the brackets

28 - 2y + 4y = 40

Combine

28 + 2y = 40

Subtract 28 from both sides

28 - 28 + 2y = 40 - 28

2y = 12

Divide by 2 on both sides

2y/2 = 12/2

y = 6

Solve for x

x + y = 14

x + 6 = 14

Subtract 6 from both sides

x + 6 - 6 = 14 - 6

x = 8

Answer:

7 mice and 7 birds

Step-by-step explanation:

14 heads would mean there are 14 animals in total, as each animal has one head.

Birds have two legs, and mice have four.

2+4=6

40/6=6.67 (recurring)

6.67*2=13.3 (recurring)

6.67*4=26.67 (recurring)

Animal legs can't be in decimal numbers, so we can round the numbers.

13.3 becomes 13, 26.67 becomes 27.

13+27=40

Now we can see that there are 13 bird legs and 27 mice legs.

Divide the bird legs by 2 to get 6.5

Divide the mice legs by 4 to get 6.75

Again, we can't have a decimal of an animal, so we can round.

6.5 becomes 7, and 6.75 also becomes 7.

Therefore, there is 7 of each type of animal.

With that launch, the ball should have a horizontal range the initial speed of the ball is approximately 35.55 m/s.

To determine the initial speed of the ball, we can analyze the vertical and horizontal components of its motion separately.

Let's start by examining the vertical component. The ball is launched at an angle of 45 degrees, so the initial velocity can be divided into vertical and horizontal components:

V₀x = V₀ * cos(45°)   (horizontal component)

V₀y = V₀ * sin(45°)   (vertical component)

In this case, we want the ball to return to the launch level, which means the vertical displacement is zero. Using the equation for vertical displacement, we can find the time it takes for the ball to reach its maximum height:

Δy = V₀y * t - (1/2) * g * t²

Since Δy is zero (returning to the launch level), we can solve for t:

0 = V₀y * t - (1/2) * g * t²

Simplifying the equation, we get:

(1/2) * g * t² = V₀y * t

t = 2 * V₀y / g

Now we can move on to the horizontal component. We are given the horizontal range (R) as 120.0 m. The horizontal range is given by the equation:

R = V₀x * t

Substituting the expression for t we found earlier:

R = V₀ * cos(45°) * (2 * V₀y / g)

Since cos(45°) = sin(45°) = 1/√2, we can simplify further:

R = (V₀² / g) * (2 * 1/√2 * 1/√2)

R = (V₀² / g) * 1

R = V₀² / g

Now we can solve for the initial velocity, V₀:

V₀² = R * g

V₀ = √(R * g)

Plugging in the given values, where R = 120.0 m and g = 9.8 m/s²:

V₀ = √(120.0 * 9.8)

V₀ ≈ 35.55 m/s

Therefore, the initial speed of the ball is approximately 35.55 m/s.

Learn more about horizontal component here:

https://brainly.com/question/32317959

#SPJ11

The equation 0.75(x + 40) = 0.35(x + 20) has a unique solution.

To solve the equation, we start by simplifying both sides. Distributing the values inside the parentheses, we get 0.75x + 30 = 0.35x + 7. Next, we aim to isolate the variable x on one side of the equation. To do this, we subtract 0.35x from both sides, resulting in 0.75x - 0.35x + 30 = 0.35x - 0.35x + 7. Simplifying further, we have 0.4x + 30 = 7. Now, we subtract 30 from both sides to isolate the term with x, which gives 0.4x = -23. Finally, we divide both sides by 0.4 to find the value of x, leading to x = -57.5. Therefore, the equation has a unique solution: x = -57.5. There are no other values of x that satisfy the equation, making this the only solution.

Learn more about unique solution here:

https://brainly.com/question/31902867

#SPJ11

Answer:

I'm going to assume that this means that the volume doubled. If so, then it would become 2*76 = 152 mL

Step-by-step explanation:

TRUNCATED to one decimal place, it's 50.2

ROUNDED to one decimal place, it's 50.3

The round-off of 50.272 to 1 decimal place using rules of rounding

numbers are 50.3.

Rounding off numbers means making a number simpler by adjusting it to its nearest place according to certain rules.

Rounding a number to one decimal place means keeping only the first digit after the decimal point and neglecting the rest. In this case, the digit in the second decimal place is 7, which is greater than or equal to 5. As per the rounding rules, if the digit is greater than 5, the preceding digit is increased by 1.

So, 50.272 becomes 50.3 when rounded to one decimal place.

Learn more about rounding numbers here:

https://brainly.com/question/13391706

#SPJ4

Answer:

5

Step-by-step explanation:

x × 4 = x + 15

4x = x + 15

-x -x

3x= 15

-- --

3 3

x = 5

// have a great day //

Answer:

X =0.5

Step-by-step explanation:

We can look at the equation.

4x = x + 1.5

First, we need to get rid of the x’s on both sides. Since the side with ‘x+1.5’ is is only 1x against 4x, we can subtract 1x from both sides.

4x-1x=1x-1x+1.5

simplified, we get

3x = 1.5

now we divide each side by 3.

x = 0.5

(a) The grade is 93 with standard score is 1.5 and The grade is 62 with standard score is -1.6

(b) The standard score is 0.6  with grade is 84 and The standard score  is 1.2  with grade is 90.

Now, According to the question:

a) Grade = 93, Standard score = 1.5

Grade = 62, Standard score = -1.6

b) Standard scores = 0.6, Grade = 84

Standard scores = 1.2, Grade = 90

We have given that,

Mean( μ )= 78,

Standard Deviation(σ) = 10

What is the formula Z score?

Z = x - σ / μ

a) Grade = 93

Standard score = 93 - 78 /10 = 1.5

Grade = 62

Standard score = 62 - 78/10 = -1.6

b) We have to find grades of student

Standard scores = 0.6

x - 78/ 10 = 0.6

x = 10 × 0.6 + 78

x = 84

Grade = 84

Standard score = 1.2

x - 78/10 = 1.2

x = 10 × 1.2 + 78

x = 90.

Learn more about Standard deviation at:

https://brainly.com/question/16555520

#SPJ4

The complete question is this:

On a statistics examination the mean was 78 and the standard deviation was 10. (a) Determine the standard scores of two students whose grades were 93 and 62, respectively, (b) Determine the grades of two students whose standard scores were 0.6 and 1.2, respectively.

The table represents the exponential function:

y = 4*(5)^x

Clearly this is an exponential function of the form:

y = A*(b)^x

First, notice that we have the point (0, 4), which means that:

4 = A*(b)^0

4 = A*1

4 = A

Then we can write:

y = 4*(b)^x

And using the second ponit (1, 20) we can write:

20 = 4*(b)^1

20 = 4*b

20/4 = b

5 =b

then the exponential function is:

y = 4*(5)^x

Learn more about exponential functions at:

https://brainly.com/question/2456547

#SPJ1

Answer: 9 × 6 = 54

Step-by-step explanation:

In the Product Game, we need to multiply the both number of factor markers.

Chris and Katie were playing The Product Game. Their factor markers were on 9  and 2.

Number = 9 × 2 = 18

Chris decided to move the marker from 2 to 6.

Now, one maker is on 9 and other is on 6. So,

Number = 9 × (2 + 4)

Number = 9 × 6 = 54

Therefore, 9 × 6 = 54 is a numerical expression  to represent his move.​

Step-by-step explanation:

the diagonals are congruent

The answer is 7

A tip you can do is get the sum subtract the number you do have so you would get your X value. So 18-11=7

Answer: x = 7

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

x + 11 = 18

x = 18 - 11

x = 7

\( \\ \)

I hope to help :p

The correct revenue function is R(x) = 100x - 25x^2.

The price (p) is multiplied by the quantity (x) to get the revenue function. To determine the correct revenue function.

we can substitute the price-demand function p(x) = 100 - 25x for p in the revenue function formula.

The correct revenue function is R(x) = 100x - 25x2, since R(x) = x * p(x) R(x) = x * (100 - 25x) R(x) = 100x - 25x2

To know more about Revenue, visit

brainly.com/question/29087694

#SPJ11

Answer:

n= -1.2

Step-by-step explanation:

I think because if you use slope equation to find the slope which is 3/5 and then you use point slop equation to find out what the equation would be. y=3/5x and then you substitue y for 18 and solve/simplify the equation to get -1.2.

The probability that fewer than 3 of them use their smartphones in meetings or classes is 0.0366.

The binomial probability distribution is a discrete probability law with two parameters: trial number (n) and success probability (p) (p). When there are two mutually exclusive outcomes of finite trials, the binomial distribution is utilised.

The probability that a specific 3 people all use their smartphones in meetings or class is 0.53³.

Probability that remaining 7 people do not use their phone is 0.47⁷

¹⁰C₃ = 10*9*8/(3*2*1) = 120.

Thus, the probability of exactly 3 people using their smartphones in meetings or in class is 10C3*0.533*0.477, or 0.0905.

So, adding up the 3 possibilities (that 0 of them, 1 of them, or 2 of them use their smartphones in meetings or class) we get

¹⁰C₀*0.530*0.4710 + ¹⁰C₁*0.531*0.479 + ¹⁰C₂*0.532*0.478 = 0.0366.

Learn more about Probability:

https://brainly.com/question/29079954

#SPJ4

Complete question:

Assume that when adults with smartphones are randomly​ selected, 53​% use them in meetings or classes. If 10 adult smartphone users are randomly​ selected, find the probability that fewer than 3 of them use their smartphones in meetings or classes.

Answer:

12

Step-by-step explanation:

8-5=3

3*4=12

Hope this is a good answer

Answer:

x = −2

Step-by-step explanation:

4x + 1 = x − 5

Subtract 1 from both sides

4x + 1 − 1 = x − 5 − 1

Simplify

4x = x − 6

Subtract x from both sides

4x −x = x − 6 − x

Simplify

3x = −6

Divide both sides by 3

\({\frac{3x}{3}\)=\(\frac{-6}{3}\)

Simplify

x = −2

Answer:

0.04x -0.06y=0.48

x = 1.5y + 12

0.08x-0.11 y=0.92

x = 1.375y + 11.5

Hope this helps!

The sentence representing the equation is 912 is the same as 15 decreased by a number.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given an equation, 912 = 15 − x

Here, 912 is equal to a number which is being subtracted from 15.

Hence, The sentence representing the equation is 912 is the same as 15 decreased by a number.

For more references on equation, click;

https://brainly.com/question/10413253

#SPJ2

Answer:

x=13

Step-by-step explanation:

First, you add the x's together: 2x+x=3x

Now you have:3x-1=38

Add 1 to both sides: 3x=39

1 cancel on the left side of the equation

Divide 3 on both sides: x=39/3

3 cancels on the left side and 39 divided by 3 is 13:

x=13

Hope this helps!

I don't know the answer please

Answer:

600g

Step-by-step explanation:

ratio 3:7 means there are 3 + 7 = 10 PARTs. zinc is 3/10 (30%) and copper is 7/10 (70%).

2kg = 2000g (of brass).

2000/10 = 200 (for one PART).

zinc is 30% (3 parts).

so we need 3 X 200 = 600g of zinc.