What’s the answer to this?

The longer route is 4 miles further than the shorter route.

According to the concept, the square of the hypotenuse of a right triangle equaled the square of the other sides. The formula is

\(c^{2} = a^{2} + b^{2}\),

where c is the hypotenuse length and a and b are the other two sides' lengths.

Calculate the difference between the longer route and the shorter route:

By using the Pythagorean theorem,\(c^{2} =a^{2} +b^{2}\)

Your hypotenuse is the straight path from Crimson to Sunshine, and your legs are the roadways to and from Happy Ville. \(c^{2} =6^{2} +8^{2}\)

Take the square root of both sides of the equation to eliminate the exponent on the left side: \(c=\pm \sqrt{6^{2}+8^{2}}\)

Raise 6 to the power of 2:\(c=\pm \sqrt{36+8^{2}}\)

Raise 8 to the power of 2: \(c=\pm \sqrt{36+64}\)

Add 36 and 64: \(c=\pm \sqrt{100}\)

Rewrite 100 as \(10^{2}\)

\(c=\pm \sqrt{10^{2}}\)

Pull terms out from under the radical, assuming positive real numbers.

\(c=\pm 10\)

So the distance between Crimson and Sunshine is 10 miles.It asks for the shortest path, either to Happy ville and then to Sunshine (through the legs) or to Sunshine immediately (hypotenuse),

Legs = 6+8 = 14

Hypotenuse = 10

So getting straight to Sunshine would be faster than going to Happyville than Sunshine because going straight to Sunshine is 10 miles against 14 miles for going to Happyville than sunshine.The longer path was 14 miles, while the shorter way was 10 miles, so subtract the two.14−10  = 4Hence, the longer route is 4 miles further than the shorter route.

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Answer:

22

Step-by-step explanation:

F(5)= 5(5) -3 (Replace x by 5)

F(5)= 25-3 (Solve for 5 and 5)

F(5)= 22 (Simplify)

22 (Answer)

Answer:

x < 3

Step-by-step explanation:

please mark me brainliest

Answer:

x<3

Step-by-step explanation:

5 > x + 2 sub 2 from both sides

x<3

Answer:

Step-by-step explanation:

After calculating the rate at which water is being filled in Tank A and the rate at which water is being leaked from Tank B, it can be determined that both tanks will hold the same amount of water after 4 hours. Therefore, the correct answer is option a) 4 hours.

Answer:

-132

Step-by-step explanation:

Let's say the number is x

10 more than x = -122

Convert from word form to numerical form

x + 10 = -122

Minus 10 on both sides

x = -132

The answer is -132

Hope this helps :)

Have a spectacular day!

The unknown number is -132.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given phrase is ten more than a number is -122.

Let the unknown number be x.

Now, x+10=-122

x=-122-10

x=-132

Therefore, the unknown number is -132.

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The probability that a five-card hand will contain a straight = 5/1274

There are 52 cards in a deck from which each 13 cards are from 4 different suits (clubs, diamonds, spades and hearts) in a game of poker.

Each 13 cards from high to low are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King. So a straight of five cards, i.e., five cards in unbroken numerical sequence would be got only from 10 cards in a sequence.

So the possible ways to get a single straight five from all four suits = \(4^5\)

Now as we doesn't need all 5 cards from a single suit, we can ignore 4 ways from the above number. i.e.,  \(4^5-4 = 1020\) ways.

Hence the possible ways to get a straight five from 10 cards from all four suits = 10 x 1020 = 10200 ways

Total number of ways to select 5 cards from 52 cards = 52C5

Thus,

The probability that a five-card hand will contain a straight = 10200 / 52C5

                                                                                                  = 5/1274                        Learn more about probability at https://brainly.com/question/5858025

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Answer: P(X=28) ≈ C(100, 28) * (1/4)^28 * (3/4)^72 ≈ 0.0368 (rounded to 4 decimal places)

Step-by-step explanation:

Using the binomial probability formula:

P(X=k) = C(n, k) * p^k * (1-p)^(n-k)

Where:

n = 100 (number of trials)

k = 28 (number of successes)

p = 1/4 (probability of success for each trial, since there are 4 sides)

C(n, k) = n! / (k! * (n-k)!)

Plugging the values:

P(X=28) ≈ C(100, 28) * (1/4)^28 * (3/4)^72 ≈ 0.0368 (rounded to 4 decimal places)

Answer:

Procedure:

1) Form a system of 3 linear equations based on the two zeroes and a point.

2) Solve the resulting system by analytical methods.

3) Substitute all coefficients.

Step-by-step explanation:

A quadratic function is a polynomial of the form:

\(y = a\cdot x^{2}+b\cdot x + c\) (1)

Where:

\(x\) - Independent variable.

\(y\) - Dependent variable.

\(a\), \(b\), \(c\) - Coefficients.

A value of \(x\) is a zero of the quadratic function if and only if \(y = 0\). By Fundamental Theorem of Algebra, quadratic functions with real coefficients may have two real solutions. We know the following three points: \(A(x,y) = (r_{1}, 0)\), \(B(x,y) = (r_{2},0)\) and \(C(x,y) = (x,y)\)

Based on such information, we form the following system of linear equations:

\(a\cdot r_{1}^{2}+b\cdot r_{1} + c = 0\) (2)

\(a\cdot r_{2}^{2}+b\cdot r_{2} + c = 0\) (3)

\(a\cdot x^{2} + b\cdot x + c = y\) (4)

There are several forms of solving the system of equations. We decide to solve for all coefficients by determinants:

\(a = \frac{\left|\begin{array}{ccc}0&r_{1}&1\\0&r_{2}&1\\y&x&1\end{array}\right| }{\left|\begin{array}{ccc}r_{1}^{2}&r_{1}&1\\r_{2}^{2}&r_{2}&1\\x^{2}&x&1\end{array}\right| }\)

\(a = \frac{y\cdot r_{1}-y\cdot r_{2}}{r_{1}^{2}\cdot r_{2}+r_{2}^{2}\cdot x+x^{2}\cdot r_{1}-x^{2}\cdot r_{2}-r_{2}^{2}\cdot r_{1}-r_{1}^{2}\cdot x}\)

\(a = \frac{y\cdot (r_{1}-r_{2})}{r_{1}^{2}\cdot r_{2}+r_{2}^{2}\cdot x +x^{2}\cdot r_{1}-x^{2}\cdot r_{2}-r_{2}^{2}\cdot r_{1}-r_{1}^{2}\cdot x}\)

\(b = \frac{\left|\begin{array}{ccc}r_{1}^{2}&0&1\\r_{2}^{2}&0&1\\x^{2}&y&1\end{array}\right| }{\left|\begin{array}{ccc}r_{1}^{2}&r_{1}&1\\r_{2}^{2}&r_{2}&1\\x^{2}&x&1\end{array}\right| }\)

\(b = \frac{(r_{2}^{2}-r_{1}^{2})\cdot y}{r_{1}^{2}\cdot r_{2}+r_{2}^{2}\cdot x +x^{2}\cdot r_{1}-x^{2}\cdot r_{2}-r_{2}^{2}\cdot r_{1}-r_{1}^{2}\cdot x}\)

\(c = \frac{\left|\begin{array}{ccc}r_{1}^{2}&r_{1}&0\\r_{2}^{2}&r_{2}&0\\x^{2}&x&y\end{array}\right| }{\left|\begin{array}{ccc}r_{1}^{2}&r_{1}&1\\r_{2}^{2}&r_{2}&1\\x^{2}&x&1\end{array}\right| }\)

\(c = \frac{(r_{1}^{2}\cdot r_{2}-r_{2}^{2}\cdot r_{1})\cdot y}{r_{1}^{2}\cdot r_{2}+r_{2}^{2}\cdot x + x^{2}\cdot r_{1}-x^{2}\cdot r_{2}-r_{2}^{2}\cdot r_{1}-r_{1}^{2}\cdot x}\)

And finally we obtain the equation of the quadratic function given two zeroes and a point.

Answer: y = -23/5

Step-by-step explanation:

Decimal Form : -4.6

Mixed Number : -4 3/5

Answer:

x = 27 and m<A = 49 degrees

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees

3x-17+x+40+2x-5 = 180

6x + 18 = 180

6x = 162

x = 27

<A = 2x - 5

< A = 2(27) - 5

<A = 49 degrees

The given statement "a teacher awards t-shirts to those students who complete their goal of walking 50 miles during a semester " is the example for tangible reinforcers.

Tangibles serve as a visual reminder for employees to keep an eye out for desired behaviours and then provide specific positive feedback. . This aided you in completing your assignment quickly and correctly. "You have earned a Tiger Ticket because you followed directions," can improve the student-teacher relationship. You can give the student positive specific feedback without using a tangible (ticket, token, etc.), but a tangible must always be accompanied by positive specific feedback.

Hence, the given statement is an example of tangible reinforcers

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Answer:

70 +60muinte= 13

Step-by-step explanation:

so that the ans

In h hours you will go 70h far from the original position and domain of the function is the amount of hours you drive option (C) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is:

Driving on the highway, you can safely drive 70 miles per hour. “How far can you drive in ‘h’ hours?” What is the domain of the function which defines this situation?

A.)The amount of gas you use.

B.) 70.

C.) The amount of hours you drive.

D.)The distance you drive

We have:

Driving on the highway, you can safely drive 70 miles per hour.

The speed of the vehicle = 70 miles per hour

As we know,

Distance = speed×time

1 hour → 70 miles

h hour → D miles

D(t) = 70h

The above expression represents the situation.

Thus, in h hours you will go 70h far from the original position and domain of the function is the amount of hours you drive option (C) is correct.

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Answer:

-12

Step-by-step explanation:

\(7\dfrac{1}{2}\div\left( 4\dfrac{1}{2}-5\dfrac{1}{8} \right)=\\\\7\dfrac{1}{2}\div -\dfrac{5}{8}=\\\\\dfrac{15}{2}\times -\dfrac{8}{5}=\\\\-\dfrac{15\times 8}{2\times 5}=\\\\-12\)

Hope this helps!

Answer: x^6+6x^4+8x^2+2

Step-by-step explanation:

Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in

(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2

The radian measure of the angle at the center of the circle is approximately 1.6623 radians.

We are given that the radius of the circle is 77.0 cm and the length of the intercepted arc is 128 cm. We need to find the radian measure of the angle at the center of the circle.

To solve this problem, we use the formula relating the angle at the center of a circle, the radius of the circle, and the arc length intercepted by the angle.

The formula is given byθ = s/rwhereθ = angle at the center of the circle in radians s = arc length intercepted by the angle r = radius of the circle Substituting the given values, we getθ = 128/77.0 = 1.6623 radians (rounded to four decimal places)

Therefore, the radian measure of the angle at the center of the circle is approximately 1.6623 radians.

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The integer 6 represents the mean change in points per minute.

We have,

Video played for 13 min.

points loose= 78

So, the mean change in points per minute is

=  ( total loss of points / total minutes of playing the game )

= 78/ 13

= 6 points per minute.

Thus, the mean change in points per minute is 6.

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Answer:

5/6

Step-by-step explanation:

The solution of the given fraction is 5/6.

Given that:

Fraction: divided 2/3 by 4/5

To calculate the division of fractions, simply need to multiply the first fraction by the reciprocal of the second fraction.

\(\dfrac{2/3}{4/5} =\dfrac{2}{3} \times \dfrac{5}{4}\\\dfrac{2/3}{4/5} =\dfrac{(2 \times5)}{(3 \times4) }\\\dfrac{2/3}{4/5} =10 / 12\)

To simplify the fraction, you can divide both the numerator and the denominator by their greatest common divisor, which is 2:

10 / 12 = 5 / 6

So, 2/3 divided by 4/5 is equal to 5/6.

Hence, the required result is 5/6.

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Therefore, the probability that the average daily revenue of the sample is between $2450 and $2460 is approximately 0.0443 or 4.43%.

The distribution of the sample means of size n = 100 from a population with mean μ = $2500 and standard deviation σ = $300 can be approximated by a normal distribution with mean = μ = $2500 and standard deviation = σ/√n = $300/√100 = $30.

Thus, we need to find the probability that the sample mean falls between $2450 and $2460.

Z-score for $2450:

z = (2450 - 2500) / 30 = -1.67

Z-score for $2460:

z = (2460 - 2500) / 30 = -1.33

Using a standard normal distribution table or calculator, we can find the probabilities associated with these z-scores:

P(z < -1.67) = 0.0475

P(z < -1.33) = 0.0918

Therefore, the probability that the average daily revenue of the sample is between $2450 and $2460 is:

P(-1.67 < z < -1.33) = P(z < -1.33) - P(z < -1.67)

= 0.0918 - 0.0475

= 0.0443

So, the probability is approximately 0.0443 or 4.43%.

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Answer:

the answer is 4

Step-by-step explanation:

Answer:

19) x = 48

20) y = 21

Step-by-step explanation:

19)

7x - 248 + x + 44 = 180

(because they're supplementary angles)

8x - 204 = 180

8x = 180 + 204

8x = 384

x = 48

20)

2y + 50 + 5y - 17 = 180

7y + 33 = 180

7y = 180 - 33

7y = 147

y = 21

Answer:

5 hours 38 minutes

Step-by-step explanation:

Let's call Hannah H, and Destiny D.

9H = 1 (think of 1 as 100% of the job done). call this equation '1'.

15D = 1      call this '2'

multiply '1' by 5:

45H = 5

multiply '2' by 3:

45D = 3

add both up:

45H + 45D = 5 + 3

45H + 45D = 8

45(H + D) = 8.

H + D is Hannah and Destiny working together. we want to make the right side of equation 1.

divide both sides by 8:

(45/8) (H + D) = 1

so it will take both of them 45/8 ≈ 5 hours 38 minutes to paint it together

The range of the function for this situation is the interval [398.25, 400] gallons.

To determine the range of the function f(x) = 400 - 0.35x for the given situation, we need to find the possible values of the amount of water remaining in the pool.

The function f(x) represents the amount of water remaining (in gallons) after x minutes, where x ranges from 0 to 5.

To find the range of the function, we evaluate f(x) for the extreme values of x in the given range (0 to 5).

For x = 0, the initial amount of water remaining:

f(0) = 400 - 0.35(0) = 400 gallons

For x = 5, the amount of water remaining after 5 minutes:

f(5) = 400 - 0.35(5) = 400 - 1.75 = 398.25 gallons

Therefore, the range of the function for this situation is the interval [398.25, 400] gallons.

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Answer:

40 Pieces

Step-by-step explanation:

12 inches in a foot. 6x12=72 inches. 72÷9=8 pieces from each 6 foot roll and you need 5 rolls so 5×8=40

Answer:

Step-by-step explanation:

:)

Using covered interest arbitrage, you can earn a profit of approximately 0.60 cents for every $1 invested over the next year.
Calculate the interest rate differential.

The interest rate differential is the difference between the nominal risk-free rates in Canada and the U.S. In this case, the differential is 0.6% (4.8% - 4.2%). Calculate the forward premium or discount: The forward premium or discount is the difference between the one-year forward rate and the spot rate. In this case, the forward premium is 0.0058  (1.2803 - 1.2745).

Determine the profit: To calculate the profit, multiply the forward premium by the investment amount. In this case, for every $1 invested, you would earn approximately 0.60 cents (0.0058 * $1).
Please note that exchange rates and interest rates fluctuate, so the actual profit may vary.

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For every $1 invested over the next year, you can earn a profit of can$0.006 through covered interest arbitrage.

To determine the profit from covered interest arbitrage, we need to compare the returns from investing in Canada versus the returns from investing in the US. Covered interest arbitrage involves borrowing money at the lower interest rate and converting it into the currency with the higher interest rate.

First, let's calculate the profit in Canadian dollars. The one-year forward rate of can$1.2745 tells us that $1 will be worth can$1.2745 in one year. Therefore, by investing $1 in Canada at the risk-free rate of 4.8%, we will have can$1.048 after one year (can$1 * (1 + 0.048)).

Now, let's calculate the profit in US dollars. By investing $1 in the US at the risk-free rate of 4.2%, we will have $1.042 after one year ($1 * (1 + 0.042)).

The difference between the Canadian dollar profit and the US dollar profit is can$1.048 - $1.042 = can$0.006.

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Option A. AA Similarity Postulate. The AA Similarity Postulate is a geometric principle that states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

This means that their corresponding sides are in proportion, and the triangles have the same shape, but not necessarily the same size. This postulate is one of the ways to prove the similarity of two triangles. In the case of the given question, if we know that two angles of one triangle are congruent to the two angles of another triangle, then we can use the AA Similarity Postulate to prove that the triangles are similar. This principle is widely used in geometry and helps to establish relationships between different shapes and figures.

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Answer: well, the answer can really be any two numbers, as long as y is one more than x. EXAMPLE: 16 = 15 + 1, 7 = 6 + 1, -54 = -55 + 1, etc