On a zip-line course, you are harnessed to a cable that travels through the treetops. You start at Platform B and zip to the other platform. What is the coordinate when you reach half way?

what is the midpoint

Answer:

[tex]21 \frac{1}{3}[/tex] fit into the product

Step-by-step explanation:

so you want to convert [tex]2 \frac{2}{3}[/tex] into a fraction by multiplying 2 by 3 and adding it to the 2. This will give you (3 * 2) = 6 => 6+2=8 which is the numerator. So the fraction becomes [tex]\frac{8}{3}[/tex] and since the two fractions are equal they both become this. So now you have [tex]\frac{8}{3} * \frac{8}{3}[/tex] which can be calculated by multiplying the numerators and denominators. This gives you [tex]\frac{8*8}{3*3} = \frac{64}{9}[/tex]. Now this just gives you the product but the question is asking you how many one thirds is the product. This is essentially saying how many 1/3 fit into the product or in other words what is the product divided by 1/3. This gives you the equation [tex]\frac{64}{9} \div \frac{1}{3}[/tex] which can be calculated by changing the sign to multiplication and flipping the second fraction (1/3 => 3/1) This gives you the equation [tex]\frac{64}{9} * \frac{3}{1} = \frac{64 * 3}{3 * 3} = \frac{64}{3}[/tex]. I rewrote the 9 as 3 * 3 in the equation so you can see that we can just cancel out the 3. Since if have a number and multiply it by "x" and divide by "x" you just have the original number. So now you have 64/3 which simplifies to [tex]21 \frac{1}{3}[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{2\dfrac{2}{3}\times 2 \dfrac{2}{3}}[/tex]

[tex]\mathsf{= \dfrac{2\times3+2}{3}\times\dfrac{2\times 3 + 2}{3}}}[/tex]

[tex]\mathsf{= \dfrac{6 + 2}{3}\times \dfrac{6 + 2}{3}}[/tex]

[tex]\mathsf{= \dfrac{8}{3}\times\dfrac{8}{3}}[/tex]

[tex]\mathsf{= \dfrac{8\times8}{3\times3}}[/tex]

[tex]\mathsf{= \dfrac{8 + 8 + 8 + 8 + 8 + 8 + 8 + 8}{3 + 3 + 3}}[/tex]

[tex]\mathsf{= \dfrac{16 + 16 + 16 + 16}{6 + 3}}[/tex]

[tex]\mathsf{= \dfrac{32 + 32}{9}}[/tex]

[tex]\mathsf{= \dfrac{64}{9}}[/tex]

[tex]\mathsf{= 7 \dfrac{1}{9}}[/tex]

[tex]\approx{\mathsf{21 \dfrac{1}{3}}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{21\dfrac{1}{3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Step-by-step explanation:

The value of x is 1.56ft.

The Pythagoras theorem states that the sum of the squares of the base and height is equal to the square of the hypotenuse of the right-angle triangle.

If p is the height, b is the base and h is the hypotenuse then according to the Pythagoras theorem

p²+b²=h²

Here given that the radius of the circle is r=2.1 ft

the perpendicular distance from the center of the circle to the line =1.4ft

that perpendicular line will bisect the line of length 2x.

Foe which each half of the line will be x.

Applying Pythagoras theorem in the right-angle triangle,

1.4²+x²=2.1²

⇒1.96+x²=4.41

⇒x²= 4.41-1.96

⇒x²= 2.45

⇒x= 1.56 ft

Therefore the value of x is 1.56ft.

Learn more about the Pythagoras theorem

here: https://brainly.com/question/343682

#SPJ2

Answer:

Pure substance

Step-by-step explanation:

A pure substance is matter that is uniform throughout and has consistent properties

Answer:

36

Step-by-step explanation:

1/6(216/1)

Using compound interest, it is found that she will earn $23 in interest during the 18-month period.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

The parameters in this problem are given as follows:

[tex]P = 1200, r = 0.0125, n = 12, t = 1.5[/tex].

The amount of money at the end of the 18 months will be of:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(t) = 1200\left(1 + \frac{0.0125}{12}\right)^{12(1.5)}[/tex]

A(t) = $1,223.

The amount of interest earned is:

I = $1,223 - $1,200 = $23.

More can be learned about compound interest at https://brainly.com/question/25781328

#SPJ1

Based on the calculations, the formula of this sinusoidal function is equal to f(x) = 6cos(2x) + 4.

Mathematically, the standard equation of a cosine function is given by:

y = Acos(Bx - C) + D

Where:

For the amplitude, we have:

A = maxline - midline

A = 10 - 4

Amplitude, A = 6.

Since the maxline to the midpoint is euqal to π/4, we have:

¼ × P = π/4

4P = 4π

P = π

For the value of B, we have:

B = 2π/P

B = 2π/π

B = 2.

Since there isn't any phase shift, the value of C is equal to zero (0) and D is equal to 4.

Next, we would substitute the parameters into the cosine function:

y = Acos(Bx - C) + D

y = 6cos(2x - 0) + 4

f(x) = y = 6cos(2x) + 4.

Read more on cosine function here: https://brainly.com/question/26993851

#SPJ1

The radius of the base of the vase in cm is 8.26 cm

P = F / A

700 = 15 / A

Cross multiply

700 × A = 15

Divide both sides by 700

A = 15 / 700

Multiply by 10000 to express in cm²

A = (15 / 700) × 10000

A = 214.29 cm²

A = πr²

Divide both side by π

r² = A / π

Take the square root of both sides

r = √(A / π)

r = √(214.29 / 3.14)

r = 8.26 cm

Learn more about pressure:

https://brainly.com/question/1393320

#SPJ1

Answer:

divide 792 by 2

792÷2=304

then add 92 to the cost 304

304+92=396

Answer:

D (2, 1)

Step-by-step explanation:

Fir an in-detailed representation, image below

Learn more about Circles here: https://brainly.com/question/10368742

The critical value and the conclusion are mathematically given as

z_{0.05}=1.960 and  z<Zcritical, therefore we Reject H_o

a)Test statistic  z=-3.32

Claim: p< 0.5

a=0.05

critical value z_{0.05}

z_{0.05}=1.960

b)

z<Zcritical,

Beause z=-3.32< z_{0.05}=1.960 Reject H_o

In conclusion,

z_{0.05}=1.960 and  z<Zcritical, therefore we Reject H_o

Read more about Probability

https://brainly.com/question/11234923

#SPJ1

The values that show a linear relationship is "Day" on the x-axis and "number of seeds" on the y-axis.

An equation is an expression that shows the relationship between two or more numbers and variables.

The standard form of a linear equation is given by:

y = mx + b

Where m is the slope of the line and b is the y intercept.

The values that show a linear relationship is "Day" on the x-axis and "number of seeds" on the y-axis.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer: Day on the x-axis and "log(seeds)" on the y-axis

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Complex roots of quadratic functions occur when the discriminant is negative.

Discriminant

[tex]b^2-4ac\quad\textsf{when}\:\:ax^2+bx+c=0[/tex]

Evaluate the discriminant of each of the given equations.

[tex]\textsf{A.} \quad 3x^2+2=0[/tex]

[tex]\implies a=3, \quad b=0, \quad c=2[/tex]

[tex]\implies b^2-4ac=0^2-4(3)(2)=-24[/tex]

As -24 < 0 the equation will have complex roots.

[tex]\textsf{B.} \quad 2x^2+1=7x[/tex]

[tex]\implies 2x^2-7x+1=0[/tex]

[tex]\implies a=2, \quad b=-7, \quad c=1[/tex]

[tex]\implies b^2-4ac= (-7)^2-4(2)(1)=41[/tex]

As 41 > 0 the equation does not have complex roots.

[tex]\textsf{C.} \quad 3x^2-1=6x[/tex]

[tex]\implies 3x^2-6x-1=0[/tex]

[tex]\implies a=3, \quad b=-6, \quad c=-1[/tex]

[tex]\implies b^2-4ac=(-6)^2-4(3)(-1)=48[/tex]

As 48 > 0 the equation does not have complex roots.

[tex]\textsf{D.} \quad 2x^2-1=5x[/tex]

[tex]\implies 2x^2-5x-1=0[/tex]

[tex]\implies a=2, \quad b=-5, \quad c=-1[/tex]

[tex]\implies b^2-4ac=(-5)^2-4(2)(-1)=33[/tex]

As 33 > 0 the equation does not have complex roots.

Learn more about discriminants here:

https://brainly.com/question/27444516

https://brainly.com/question/27869538

Learn more about complex roots here:

https://brainly.com/question/26344541

Step-by-step explanation:

1 week is 3 rats

( w × 3 ) + 4

hope this helps

Answer:

P(w) = 3w+4

Step-by-step explanation:

For a Linear Equation , it takes the Form y = mx + c

where c is the Constant which is y-value at x=0

and the m is the Slope which is the change in y-value for a 1-unit change in x-value

So for our Question

y-value is represented by P(w) , Number of Rats

x-value is represented by w , Number of Weeks

So the Constant (c) is the P(w) at w=0 which is 4

and the Slope is the Change in P(w) value as w changes by 1 unit , which from week 0 to week 1 , P(w) changed from 4 to 7 , so the Change =7-4=3

Then the Slope m = 3

So the Linear Equation will be P = mw+c

Then P(w) = 3w+4

Answer:

14-2a

Step-by-step explanation:

Since 15 and 21 are not included: we will have

=15-2a-1

=14-2a

Step-by-step explanation:

a).

n! is

[tex]n(n - 1)(n - 2)(n - 3)(n - 4).........(1)[/tex]

(n-3)! is

[tex](n - 3)(n - 4)(n - 5)..........(1)[/tex]

If we divide the two, everything behind (n-3) will just cancel out so we would be left with only

[tex](n)(n - 1)(n - 2)[/tex]

So the answer to a is

[tex]n(n - 1)(n - 2)[/tex]

b

Permutations formula of P(6,4) is

6!/(6-4)!, or 6!/2!.

[tex] \frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1} = 360[/tex]

Then we divide by 4!

[tex] \frac{360}{4 \times 3 \times 2 \times 1} = 15[/tex]

The answer to b is 15

Answer:

146

Step-by-step explanation:

arrange your values in descending order then cancel out last value with the first value.

the middle value would be your answer.

hope it was helpfull.please give me a thanks

A common discrete distribution used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability that the golfer will miss at least one of his next eight 5-foot putts is 0.4523.

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

A.) The probability that this kicker will successfully make all of his next eleven extra-point kicks is,

P(x=11) = ¹¹C₁₁ (0.988¹¹) (0.012⁰)

           = 0.8756

B.) The probability that the kicker will miss at least one of his next eleven extra point kicks is,

P(X<11) = 1 - P(X=11)

           = 1 - 0.8756

           = 0.1243

C.) The probability that this golfer will successfully make all of his next eight 5-foot putts is,

P(x=8) = ⁸C₈ (0.9275⁸) (0.0725⁰)

          = 0.5477

D.) The probability that the golfer will miss at least one of his next eight 5-foot putts is,

P(X<8) = 1 - P(X=8)

          = 1 - 0.5477

          = 0.4523

Learn more about Binomial Distribution:

https://brainly.com/question/14565246

#SPJ1

Answer:

  35

Step-by-step explanation:

The equations will be "consistent" when they describe lines that are not parallel.

The slope of a line whose equation is written in this form is the opposite of the ratio of the y-coefficient to the x-coefficient:

  line 1 slope = -8/20 = -2/5

  line 2 slope = -14/35 = -2/5

These lines have the same slope, so will be parallel unless they have the same y-intercept.

The y-intercept of each line is the ratio of the constant to the y-coefficient:

  line 1 y-intercept = 20/20 = 1

  line 2 y-intercept = k/35

We want these lines to have the same y-intercept so that they are not inconsistent. This requires ...

  k/35 = 1

  k = 35

For the equations to be consistent, we must have k = 35.

__

Additional comment

Linear equations are generally categorized as "consistent" or "inconsistent," and "dependent" or "independent."

Equations are "inconsistent" if there are no values of the variables that satisfy all of the equations. They are "dependent" if they describe exactly the same relation between the variables. "Consistent" equations may be "dependent" (describing the same line, as here), or "independent" (describing lines with different slopes.)

So Explicit formula for 2nd one

Or general formula as per Geometric progression

For 50 years there are 365(50)=18250days excluding leap years (We will check for leap year if neck to neck situation arises)

Now find sum

Sum of 18250 terms

[tex]\\ \rm\Rrightarrow \dfrac{a(r^n-1)}{r-1}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1(2^{18250}-1)}{2-1}[/tex]

1 from both denominator and numerator cancels out

[tex]\\ \rm\Rrightarrow 2^{18250}-1[/tex]

[tex]\\ \rm\Rrightarrow 6.272214002E5493[/tex](Accurate)

It's far more than 1 M so second option would give you more penny

Answer:

The amount of gross profit earned by Abbey Co. on the above transactions is $7,554.00

Step-by-step explanation:

What is the gross profit of Abbey Co?

Note that after sales of goods of $29,300 whose cost is $20,510 to Gomez Co, Gomez returned goods whose selling price is $2,500 and cost originally $1,800 to Abbey Co.

The implication of such goods returned is that $2,500 would be deducted from selling price and $1,800 would be deducted from cost of goods sold.

selling price=$29,300-$2,500

selling price=$26,800.00

cost of goods sold=$20,510-$1,800

cost of goods sold=$18,710.00

Note again that Gomez paid the invoice within the discount period, which means that net sales is the selling price of $26,800.00  minus 2% discount(2/15 means a discount of 2% is available if credit sales is settled in cash within the first 15 days of making sales0

net sales=$26,800.00*(1-2%)

net sales=$26,264.00

The gross profit is net sales minus the cost of goods sold

gross profit= $26,264.00-$18,710.00

gross profit=$7,554.00

Below is the link to a similar question which gives further guidance

https://brainly.com/question/14680275

#SPJ1

Answer:

Step-by-step explanation:

Loss is 20% of the C.P.

        =

[tex]=\frac{20}{100}*100\\ =3040\\[/tex]

Selling price= Cost Price-Loss

[tex]=15200-3040\\=12160[/tex]

Answer:

20 / the losssssssssssss

Using a system of equations, it is found that the lengths of the sides of the triangle are given as follows:

5.29 feet, 2.43 feet, 5.79 feet.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are the lengths, that are x, y and z.

The length of one side of a triangle is 2 feet less than three times the length of its second side, hence:

x = 3y - 2.

The length of the third side is 3/4 of the sun of the lengths of the first two sides, hence:

z = 0.75(x + y).

Find the lengths of all three sides if the perimeter of the triangle is 17.5 feet, hence:

x + y + z = 17.5.

3y + 2 + y + 0.75(3y - 2 + y) = 17.5

4y + 0.75(4y - 2) = 15.5.

7y = 17

y = 2.43 feet.

Hence:

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

probability//

Step-by-step explanation:

Answer: 16 hours

Step-by-step explanation: If 180 miles was completed in 3 hours, it means 60 miles was completed in 1 hour (180 ÷ 3 = 60.) Now we just do 960 ÷ 60 and we get 16 hours of time at a constant speed, assuming no further alterations were made to accelerations.

If my problem was helpful, please mark it as Brainliest. It helps me earn reputation and ranks!

Arianna can travel 960 mi in 16 hours.

Speed is defined as the rate of change of position of an object in any direction.

Given that, Arianna drove 180 miles in 3 hours.

As we know, Speed is the ratio of distance to the time in which the distance was covered.

Speed = distance/time

Ariana's speed = 180/3 = 60 mi/hr

Therefore, time taken by her to travel 960 mi = 960/60 = 16 hr.

Hence, Arianna can travel 960 mi in 16 hours.

For more references on speed, click;

https://brainly.com/question/28224010

#SPJ1

Option A. The answer to the question is Marcelina spends the intended amount of money and buys the intended amount of corn.

We can see a point that takes us to the amount that the corn was bought and the quantity that was obtained.

This shows that she is in range of what she was asked to buy. E shows us the amount that was spent as 12 dollars and the quantity of 50kg.

Read more on graphs here:

https://brainly.com/question/19040584

#SPJ1

Answer:

the answer is 8.ITS 88888888888888888888

If the perpendicular from chord is x, the length of cord is 11.3 and diameter be 15.5 then the value of x is 4.54.

Given Perpendicular from center to chord is x. The length of cord be 11.3 and the diameter be 15.5.

Perpendicular means a line on other line making an angle of 90 degrees. Cord is the length of line joining two points on a circle and is different from radius or diameter. We know that the formula of calculating the length of chord is as under:

l=[tex]2\sqrt{r^{2} -d^{2} }[/tex]

now put the value of l=11.3 and r=15.5/2=7.25

11.3=[tex]2\sqrt{7.25^{2} -x^{2} }[/tex]

11.3/2=[tex]\sqrt{52.5625-x^{2} }[/tex]

5.65=[tex]\sqrt{52.5625-x^{2} }[/tex]

squaring both sides

[tex]5.65^{2} =52.5625-x^{2}[/tex]

31.9225=52.5625-[tex]x^{2}[/tex]

31.9225-52.5625=-[tex]x^{2}[/tex]

-20.64=-[tex]x^{2}[/tex]

20.64=[tex]x^{2}[/tex]

x=4.54

Hence if the length of cord is 11.3 and diameter is 15.5 then the value of x is 4.54.

Learn more about circle at https://brainly.com/question/24375372

#SPJ10

The x-intercept of p(x) is x = 2, the x-intercept of g(x) is x = 0, then the correct option is B.

For a function f(x), the x-intercept is the value of x such that:

f(x) = 0.

Here we have:

p(x) = log₂(x - 1)

Remember that:

logₙ(1)  = 0

For any base n, then the x-intercept of p(x) is x = 2, because:

p(2) = log₂(2 - 1) = log₂(1) = 0.

The other function is:

g(x) = 2ˣ - 1

Remember that any number to the power of zero is equal to 1, then:

g(0) = 2⁰ - 1 = 1 - 1 = 0

The x-intercept of p(x) is x = 2, the x-intercept of g(x) is x = 0, then the correct option is B.

If you want to learn more about x-intercepts:

https://brainly.com/question/3951754

#SPJ1

Answer:

The x-intercept of function p is greater than the x-intercept of function q.

Step-by-step explanation:

Plato/Edmentum

Answer: Choice A) It has a range of 17

Reason:

The smallest value is 8 and the largest is 14. The range is the distance between these min and max

range = max - min = 14 - 8 = 6

So the range is 6 instead of 17.

The range of a data set is the difference between maximum and minimum thus the range of the given data set 8, 10, 10, 12, 12, 12, 12, 14, 14,16 is 8 so option (A) does not describe the data set.

Mode is the highest frequency number while the median is the middle value of a data set after writing in either an increasing or decreasing manner.

For example;

Set { 1,2,2,3,4,5,6} here mode is 2 and median is 3.

As per the given data set.

8, 10, 10, 12, 12, 12, 12, 14, 14,16

The range = maximum - minimum

Range = 16 - 8 = 8

The median of the data set is 12.

The mode is the highest frequency thus 12 is the mode of the data set.

Hence "The range of a data set is the difference between maximum and minimum thus the range of the given data set 8, 10, 10, 12, 12, 12, 12, 14, 14,16 is 8".

To learn more about mode and median,

brainly.com/question/300591

#SPJ2

Hello

Answer:

Look at the picture.

The solution to the given proportion (x-1)/5 = (x-1)/2 is equal to x = 1.

To solve the proportion (x-1)/5 = (x-1)/2, we need to find the value of x that satisfies the equation. Cross-multiplication is a common method used to solve proportions.

First, cross-multiply the equation:

2(x - 1) = 5(x - 1)

Now, distribute the values on both sides:

2x - 2 = 5x - 5

Next, isolate the variable x on one side of the equation. Let's move all terms containing x to the left side of the equation by subtracting 2x from both sides:

2x - 2 - 2x = 5x - 5 - 2x

-2 = 3x - 5

Now, let's move the constant term (-5) to the other side of the equation by adding 5 to both sides:

-2 + 5 = 3x - 5 + 5

3 = 3x

Finally, to find the value of x, divide both sides by 3:

3/3 = 3x/3

1 = x

To learn more about proportion click on,

https://brainly.com/question/29104459

#SPJ2