You are designing a 5 kilometer course for a local charity run. your assistants provide you with the following measures in yards. you need to convert the distances to kilometers, and then tell your assistants how much further they need to extend the finish line to complete the course.

course streets distance
main street to 6th ave. 781 yards
6th ave. to pleasant road 1,250 yards
pleasant road to city park 275 yards
route through city park 2,337 yards
city park to main street 725 yards

Answer:

1.) \(\sqrt{13.341}\)  ≈ 3.652

2.) I would say something about how the A in front of cos in the equation would change to 90, rather than stay 75 (in the equation for the step by step), but it would be easier to just use the Pythagorean theorem.

Step-by-step explanation:

I think we may have the same class so hopefully this helps:

1.) \(a^2 = b^2 + c^2 - 2bccosA\) --> law of cosines formula.

   \(a^2 = 3^2 + 3^2 - 2(3)(3)cos(75)\) --> plugged in numbers; when you draw the triangle, the included angle would be A, and the opposite side would be a. B and b, and C and c are opposite each other. In this case, a is the hypotenuse.

   \(a^2 = 18 - 18cos75\) --> in between steps.

   \(a^2 = 13.341\) --> more simplifying.

   \(a(hypotenuse) = \sqrt{13.341} or 3.652\) --> answer

2.) This one is just an explanation: The 75 in the equation is the given angle, which is a. If this changes, it would just change in the equation too. And obviously, if it's 90 degrees, you can just use Pythagorean theorem a^2+b^2=c^2.

Good luck! :)

When comparing the two numbers we get that 116/9 is greater than square root of 160.

The square root of 160

= √160

= 12.6491...

≈ 12.65

The fraction number is 116/9 , converting to decimal we get:

116/9

= 12.888

≈ 12.89

Now comparing the two numbers we get:

12. 89 > 12.65

hence 116/9 > 12.65

The opposite of squaring an integer is finding its square root. Finding a number that, when squared, yields the original value will reveal the square root of a number, which is found by multiplying it by itself. If "a" is equal to "b" squared, then a = b.

Every number has four roots that are four by four, one of a positive value and one of a negative value, because the square of almost any integer always represents a positive number. For instance, the square roots of 4 are both 2 and -2. However, the square root of an integer is typically expressed using only the positive value.

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Answer:

a) There is one y-intercept at (0,0); there are two x-intercepts: one at (0,0) and the other at around (2.4,0.)

b) The domain of the function in interval notation is \([-3,3]\); the range of the function in interval notation is \([-2,2]\).

c) The function increases on the interval \((2,3)\). The function decreases on the interval \((-1,1)\). The function is constant on the intervals \((-3,-1)\) and \((1,2)\).

d) Neither

Answer: y=-(4y-12)/2 + 3; x=0 y=3

Answer:

4/n subtracted by 6 or the third option

Step-by-step explanation:

Answer:

51% of 62 is 31.62 but rounded would be 30

Step-by-step explanation:

Answer:

I give that man Brainlyest right now

Answer:

the third graph

Step-by-step explanation:

1. increase - then you know the line has to go upwards.  so only first &3rd lines are potentially correct answer

2. look at the Y axis markings, first one goes from 5 to 11, it increased by 6.  so it's not right.

answer is the 3rd one.

Answer:

the area = 28.27 or you can write the answer out as 28.2744 or also 28.27433

Step-by-step explanation:

start with what we know. the formula for solving this is A=pi R squared

so, area= pi (3.1416)

then, multiply that by the radius given, which is 3.

So, 9.4248 × 3 = 28.2744 square inches

or 28.27 sq.in.

HOPE THIS HELPS... HAVE A GREAT DAY!!

Answer:

formulae : 1/3 × area of base × height

= 1/3 × 6 × 8

= 1×2×8

=16

The weight of the eggs in grams 95.38 grams.

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X ~ N(58,21)

where µ = 58 and σ = 21

The z score for this case is given by this formula:

z = x -  µ/σ

We know that the value of z = 1.78 and we want to estimate the value of X. If we solve for X from the z formula we got:

X =  µ+1.78σ

= 58 + 1.78×21

= 95.38

So, the corresponding weight for a z score of 1.78 is 95.38 grams.

Hence we get the required answer.

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Answer: what?????? but um is 6 inches small?

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

It is rational because a rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0.

.25252525 is equal to \(\frac{100000000}{396000004}\)

where a = 100000000

and b = 396000004

Answer: C

Step-by-step explanation:

Answer:

It is going to be C

Step-by-step explanation:

Because after you complete the problem it will equal the nu,ber selcted on c

Answer:

60.1 feet

Step-by-step explanation:

x= length of ladder

48/sin53 = x/sin90

x=48*sin90/sin53

x=60.1

To calculate the probability of having a positive profit after 6 months, we need to consider two scenarios: the stock price being higher than 42 and the stock price being lower than 42.

If the stock price is higher than 42, then the profit will be the absolute difference between the stock price and 42. Let's call this difference "x". In this case, the profit will be x, since the call option will be in the money and the put option will be out of the money.

If the stock price is lower than 42, then the profit will be the absolute difference between 42 and the stock price. Let's call this difference "y". In this case, the profit will be y, since the put option will be in the money and the call option will be out of the money.

To calculate the probability of having a positive profit, we need to find the probability of the stock price being higher than 42, multiplied by the expected profit in that scenario, plus the probability of the stock price being lower than 42, multiplied by the expected profit in that scenario.

Let's assume that the stock price follows a normal distribution with a mean of 42 and a standard deviation of σ. The probability of the stock price being higher than 42 can be calculated as follows:

P(X > 42) = 1 - P(X < 42) = 1 - Φ((42 - 42)/σ) = 1 - Φ(0) = 0.5

Where Φ is the standard normal cumulative distribution function.

The expected profit in this scenario is x, which can be calculated as follows:

E(x) = ∫[42, +∞] x * f(x) dx

Where f(x) is the probability density function of the normal distribution.

Since the normal distribution is symmetric around the mean, we can assume that the expected profit in the lower scenario is the same as in the upper scenario, but with a negative sign:

E(y) = -E(x)

Therefore, the expected total profit is:

E(x+y) = E(x) + E(y) = 0

Since the expected total profit is zero, the probability of having a positive profit is the same as the probability of having a negative profit. Therefore, the answer is:
B At least 0.35 but less than 0.40

To answer your question, follow these steps:

Step 1: Understand the problem
You have bought a 6-month straddle that pays the absolute difference between the stock price after 6 months and 42. You need to calculate the probability of having a positive profit after 6 months.

Step 2: Identify the profit condition
For a positive profit, the payout should be greater than the cost of the straddle. Since we do not have the cost of the straddle, we cannot determine the exact probability of having a positive profit after 6 months.

However, we can infer that a higher probability of the stock price deviating significantly from 42 after 6 months will increase the likelihood of a positive profit. Unfortunately, without more information on the stock price distribution or the cost of the straddle, we cannot provide a definite answer within the given answer choices (A, B, C, D, or E).

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Explicit formulas are mathematical expressions that represent a function or relationship between variables in a direct and clear way, without the need for further calculations or interpretation.

To find the explicit formulas for the compositions of the given functions, we need to substitute the function inside the other function and simplify:

(a) fog(x) = f(g(x)) = f(5x + 7) = 2(5x + 7) + 3 = 10x + 17

So the explicit formula for fog(x) is 10x + 17.

(b) gof(x) = g(f(x)) = g(2x + 3) = 5(2x + 3) + 7 = 10x + 22

So the explicit formula for gof(x) is 10x + 22.

(c) foh(x) = f(h(x)) = f(x^2 + 1) = 2(x^2 + 1) + 3 = 2x^2 + 5

So the explicit formula for foh(x) is 2x^2 + 5.

(d) hof(x) = h(f(x)) = h(2x + 3) = (2x + 3)^2 + 1 = 4x^2 + 12x + 10

So the explicit formula for hof(x) is 4x^2 + 12x + 10.

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The height of Jeremy is 159 cm.

To find the height of Jeremy:

So,

Then, Jeremy = 135 + 24 = 159 cm.

Therefore, the height of Jeremy is 159 cm.

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Answer:

Step-by-step explanation:

700.5

Answer:

The answer is SAS

The price elasticity of demand measured using midpoint method, for a price change between $10 and $2 can be determined as follows:Price elasticity of demand (mid-point method) = [ΔQ / {(Q1 + Q2)/2}] ÷ [ΔP / {(P1 + P2)/2}]Given that P1 = $10, P2 = $2, Q1 = Q2, and the price has decreased from $10 to $2.

Therefore, the midpoint price (P) = (P1 + P2) / 2 = ($10 + $2) / 2 = $6The midpoint quantity (Q) = (Q1 + Q2) / 2 = Q1 / 2 + Q2 / 2 = Q / 2 + Q / 2 = Q.ΔP = $2 − $10 = −$8ΔQ = Q − Q = 0Hence, the absolute value of the price elasticity of demand using the midpoint method for a change in price from $10 to $2 is :Price elasticity of demand (mid-point method) = [ΔQ / {(Q1 + Q2)/2}] ÷ [ΔP / {(P1 + P2)/2}]E = [0 / {Q / 2}] ÷ [−8 / $6]E = 0 ÷ −1.3333E = 0

So, the correct answer is option B: 1.

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Answer:

I think the answer is B or D

Step-by-step explanation:

Can i get brainiest please?

Answer:

x = 2

Step-by-step explanation:

\( \rm Solve \: for \: x: \\ \rm \longrightarrow 4 (3 x - 1) = 20 \\ \\ \rm Divide \: both \: sides \: of \: 4 (3 x - 1) = 20 \: by \: 4: \\ \rm \longrightarrow \dfrac{4(3x - 1)}{4} = \dfrac{20}{4} \\ \\ \rm \dfrac{4}{4} = 1: \\ \rm \longrightarrow 3 x - 1 = \dfrac{20}{4} \\ \\ \rm \dfrac{20}{4} = 5: \\ \rm \longrightarrow 3 x - 1 = 5 \\ \\ \rm Add \: 1 \: to \: both \: sides: \\ \rm \longrightarrow 3 x + (1 - 1) = 1 + 5 \\ \\ \rm 1 - 1 = 0: \\ \rm \longrightarrow 3 x = 5 + 1 \\ \\ \rm 5 + 1 = 6: \\ \rm \longrightarrow 3 x = 6 \\ \\ \rm Divide \: both \: sides \: of \: 3 x = 6 \: by \: 3: \\ \rm \longrightarrow \dfrac{3x}{3} = \dfrac{6}{3} \\ \\ \rm \dfrac{3}{3} = 1: \\ \rm \longrightarrow x = \dfrac{6}{3} \\ \\ \rm \dfrac{6}{3} = 2 : \\ \rm \longrightarrow x = 2\)

A) zero as the value of determinant is imaginary

The number of real solutions of the equations y = x - 3 and y = x² - 6x + 10 will be zero. Then the correct option is A.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equations are given below.

y = x - 3

y = x² - 6x + 10

Compare both equations, then we have

x² - 6x + 10 = x - 3

Simplify the equation, then we have

x² - 7x + 13 = 0

The solution to the equation, then we have

x = [7 ± √(49 - 52)] / 2

x = 7/2 ± (√3/2)i

The number of real solutions of the equations y = x - 3 and y = x² - 6x + 10 will be zero. Then the correct option is A.

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deter mainAnswer:

Don't answer this.

Step-by-step explanation:

Iowa assesments are supposed to be done by the person taking them to  where they are at in school. They are meant to challange the person. They also don't effect your grade in anyway, so do your best. If you don't know the answer and it is multiple choice, pick B or C and move on.

Answer: you did not put in the full equation but i got this right out of the box.

ˉx 28

r 0.82

Therefore, the cost of seeding a rectangular lawn 100 ft by 70 ft with the given information is $177.

Area is a measure of the size of a two-dimensional surface or region. It is typically expressed in square units, such as square meters, square feet, or square centimeters. For example, the area of a rectangle can be found by multiplying its length by its width, while the area of a circle can be found by multiplying pi (approximately 3.14159) by the square of its radius. Area is an important concept in many fields, including mathematics, physics, engineering, geography, and architecture.

by the question.

First, we need to calculate the total area of the lawn:

\(Area = length x width\)

\(Area = 100 ft x 70 ft\)

\(Area = 7,000 sq ft\)

Next, we need to determine how many pounds of seed we will need:

\(Seed needed = Area/ Coverage per pound of seed\)

\(Seed needed = 7,000 sq ft /350 sq ft/pound\)

\(Seed needed = 20 pounds\)

Finally, we can calculate the cost of the seed:

\(Cost of seed = Seed needed * Cost per pound of seed\)

\(Cost of seed = 20 pounds* $8.85/pound\)

\(Cost of seed = $177\)

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Answer: x=2x +14

Step-by-step explanation:

1) subtract 8x from both sides: -4x= -8x -56

2) divide both sides by -4: x=2x +14

Answer:

3 ÷ 4 = 3/4

Step-by-step explanation:

If you only have three items to share among 4 people, each person will get less than one whole item. So an answer that is a fraction makes sense. A fraction bar is just a division symbol; you read it from the top, down.

Answer:

x=100, hope this helped.

The number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

We can solve this inequality by introducing an auxiliary variable x4, such that x1 + x2 + x3 + x4 = 11. Here, x1, x2, x3, and x4 are all nonnegative integers.

We can interpret this equation as follows: imagine we have 11 identical objects and we want to distribute them among four boxes (x1, x2, x3, and x4). Each box can contain any number of objects, including zero. The number of solutions to this equation will give us the number of nonnegative integer solutions to the original inequality.

We can use a technique known as stars and bars to count the number of solutions to this equation. Imagine we represent the 11 objects as stars: ***********.

We can then place three bars to divide the stars into four groups, each group representing one of the variables x1, x2, x3, and x4. For example, if we place the first bar after the first star, the second bar after the third star, and the third bar after the fifth star, we get the following arrangement:

| ** | * | ****

This arrangement corresponds to the solution x1=1, x2=2, x3=1, and x4=7. Notice that the number of stars to the left of the first bar gives the value of x1, the number of stars between the first and second bars gives the value of x2, and so on.

We can place the bars in any order, so we need to count the number of ways to arrange three bars among 14 positions (11 stars and 3 bars). This is equivalent to choosing 3 positions out of 14 to place the bars, which can be done in C(14,3) ways.

Therefore, the number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

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Answer:

Im kind of confused if I rewrite or find the y and x intercept to this equation but I hope this helps.

if you can please give me brainliest.