In boot camp, a cadet must use a rope swing to cross an obstacle without falling into the water hazard below. Unfortunately, they miss the platform on the other side and swing back to where they started. If it takes the cadet 3.5 seconds to swing from one side of the obstacle to the other and back, how Lind is the rope swing? Use the formula: T= 2 pi square root over L/9.8

Answer:

quadratic

Step-by-step explanation:

i just took it on edge

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

2

Answer:

See the explanation for the answer.

Step-by-step explanation:

[tex]2x^2+7x+2=0[/tex]

[tex]x=\frac{-7\pm \sqrt{49-16}}{4}=\frac{-7\pm \sqrt{33}}{4}[/tex]

Hope this helps!

Answer:

100 times as large

Step-by-step explanation:

If the base is 10, it is really easy to find this out.

First, what is the difference between 6 and 4? 2

Each higher exponent, the value multiplies by 10.

Remember that the the difference between the exponents is the number of zeros in the answer if the base number is 10.

2 zeros = 100

Answer:

A

Step-by-step explanation:

1/1-2/5

Answer:

11.31 ft

Step-by-step explanation:

Here in this problem ladder forms a right triangle with the wall of the house and it is acts as hypotenuse, length of one leg of right triangle given to be 4 feet.

Let the ladder reaches x ft height of the house.

Hence, by Pythagoras theorem:

[tex] {12}^{2} = {4}^{2} + {x}^{2} \\ 144 = 16 + {x}^{2} \\ {x}^{2} = 144 - 16 \\ {x}^{2} = 128 \\ x = \sqrt{128} \\ x = 11.3137085 \\ x = 11.31 \: ft[/tex]

Hence, the ladder reaches 11.31 ft height of the house.

Answer:

the absolute value of l9l is 9

Step-by-step explanation:

because if you look on a number line when you are calculating the absolute value it is how many numbers away from zero so it is always positive.

Answer: +9

Step-by-step explanation: When an integer is written with vertical bars on either side, it means that we take the absolute value of that integer.

The absolute value of an integer is its

distance from zero on a number line.

|9| is +9 because it's 9 units from zero on the number line.

Answer:

78.5 cm^2

Step-by-step explanation:

The area of a circle can be found using:

[tex]a=\pi r^2[/tex]

We know that the radius is 5 cm. We also know that we are using 3.14 for pi. Therefore, we can substitute 5 in for r, and 3.14 in for pi.

a=3.14*5^2

Evaluate the exponent

a=3.14*(5*5)

a=3.14*25

Multiply

a=78.5

The area of the clock is 78.5 cm^2

Answer:

The center is 3.

It is symmetric

The spread is from 1 to 5.

There were 14 commercial breaks.

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the information:

Let analyse all the answers:

1/ The center is 3 True

2/The peak is 5 Wrong, the peak is 3

3/ There are no gaps. Wrong because the gap is at 4 and 2

4/ It is symmetric. Yes

5/ It is skewed right. Wrong because it is symmetric.

6/ The spread is from 1 to 5. True

7/ There were 14 commercial breaks. Yes because the total number of dots is 14

Hope it will find you well.

Answer:

The center is 3.

It is symmetric

The spread is from 1 to 5.

There were 14 commercial breaks.

Step-by-step explanation:

Answer:

A & B)

Step-by-step explanation:

A)When you subtract the bottom equation from the top, x will be eliminated & you could found the value of y

B)When you add  the equations, y will be eliminated & you could find the value of x

Upper Quartile: 38

Lower Quartile: 19

The lower quartile value is the median of the lower half of the data. The upper quartile value is the median of the upper half of the data.

Answer:

Step-by-step explanation:

The upper quartile is the median of the upper half of a data set.

The lower quartile value is the median of the lower half of the data.

Answer:

B) And D)

Step-by-step explanation:

8-2x1 = 6

Option B number line shows the solution set for |8 - 2p| = 6

A number line is a pictorial representation of numbers on a straight line. It can be used to represent any real number that includes every whole number and natural number. Arithmetic operations of numbers can be better explained on a number line.

According to the question the given expression is  |8 - 2p| = 6

Here the value of "p" is unknown. We have to assume a number and equate it to 6.

Let "p" be ±2, On applying ±2 in the set  |8 - 2(±2)| =0

so not ±2

Now assume ±1, On applying ±1 in the set  |8 - 2(±1)| =6

Value ±1 is shown in the 2nd number line.

Thus the correct option is B

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Answer:

The correct answer would be 10 : 7

( OPINION ) I say this because we are comparing the apples in the fridge(10) to the apples on the table(7).

I hope this was helpful :3

STAY SAFE!! :)

The ratio of apples in the fridge to apples on the table is 10:7. This is calculated by dividing the number of apples in the fridge by the number on the table.

The question asks for the ratio of apples in the fridge to the apples on the table. In order to solve this, you need to understand what a ratio is. A ratio is a way of comparing quantities. Here, the quantity being compared is apples: those in the fridge versus those on the table.

To calculate the ratio, you simply divide the first quantity by the second quantity. So in this case, you have 10 apples in the fridge and 7 apples on the table.

The ratio is therefore 10/7. This can also be written as 10:7.

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Answer:

1. 2=1

2. No Solution

Step-by-step explanation:

edge 2022

The equation that shows the result as per the given scenario is 2=1. The correct option is A.

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

In mathematics, a base number raised to an exponent is referred to as a power. The base number is the factor that is multiplied by itself, and the exponent indicates how many times the base number has been multiplied.

Given,

Equation = [tex](1/5000)^{2z}X5000^{2z+2}[/tex]

We have to rewrite the given equation so there is a single power of 5,000 on each side.

[tex]1/a^n=a^{-n}\\\\a^m/a^n=a^{a-n}\\\\a^mXa^n=a^{m+n[/tex]

So,

[tex](1/5000)^{2z}X5000^{2z+2}=5000[/tex]

[tex]5000^{-2z}X5000^{2z+2}=5000[/tex]

[tex]5000^{-2z+2z+2}=5000^1[/tex]

By this,

-2z+2z+2=1,

Thus, the value can be 2=1, so the correct option is A.

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Your question seems incomplete, the complete question is:

Rewrite the given equation so there is a single power of 5,000 on each side. then, set the exponents equal to each other.

(1/5000)^2z · 5000^2z+2 = 5000

which equation shows the result?

a) 2=1

b) z=1

c) -4z+2=1

d) -4z+1=1

Answer:

Concept :

✧Thorough solution is provided in the attachment.

Don't hesistate to reach out to me if you have further queries! Have fun studying! <3

The values of [tex]\( \sin \theta \)[/tex] are [tex]\( \frac{\sqrt{35}}{6} \)[/tex] and [tex]\( -\frac{\sqrt{35}}{6} \)[/tex],  and the value of [tex]\( \tan \theta \)[/tex] is [tex]\( \sqrt{35} \)[/tex].

Given that [tex]\( \cos \theta = \frac{1}{6} \)[/tex], we need to find [tex]\( \sin \theta \)[/tex] and [tex]\( \tan \theta \)[/tex].

First, we can find [tex]\( \sin \theta \)[/tex] using the Pythagorean identity:

[tex]\[\sin^2 \theta + \cos^2 \theta = 1\][/tex]

Substitute [tex]\( \cos \theta = \frac{1}{6} \)[/tex]:

[tex]\[\sin^2 \theta + \left(\frac{1}{6}\right)^2 = 1\][/tex]

[tex]\[\sin^2 \theta + \frac{1}{36} = 1\][/tex]

[tex]\[\sin^2 \theta = 1 - \frac{1}{36} = \frac{36}{36} - \frac{1}{36} = \frac{35}{36}\][/tex]

[tex]\[\sin \theta = \pm \sqrt{\frac{35}{36}} = \pm \frac{\sqrt{35}}{6}\][/tex]

So, [tex]\( \sin \theta \)[/tex] could be [tex]\( \frac{\sqrt{35}}{6} \)[/tex] or [tex]\( -\frac{\sqrt{35}}{6} \)[/tex].

Next, to find [tex]\( \tan \theta \)[/tex], we use the definition:

[tex]\[\tan \theta = \frac{\sin \theta}{\cos \theta}\][/tex]

Substitute [tex]\( \sin \theta = \pm \frac{\sqrt{35}}{6} \) and \( \cos \theta = \frac{1}{6} \)[/tex]:

[tex]\[\tan \theta = \frac{\frac{\sqrt{35}}{6}}{\frac{1}{6}} = \sqrt{35}\][/tex]

Answer:

integer

Step-by-step explanation:

The answer is 3 which is a whole number so is also an integer and thus inturn a rational number.

An integer is the number zero, a positive natural number or a negative integer with a minus sign. The whole numbers are the numbers without fractions and it is a collection of positive integers and zero. rational numbers are numbers that can be represented as the quotient p/q of two integers such that q ≠ 0.

Given here, 15/5=3 and thus the number

3∈ whole numbers ∈Integers ∈rational numbers

Hence, The answer is 3 which is a whole number so is also an integer and thus inturn a rational number.

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Answer:

p^8 q^3

Step-by-step explanation:

When dividing exponents, you subtract the numerator by the denominator.

Example: Look at p. 5-(-3) will result with p^8. For q, find what subtracted from 6 will make 3.

Answer: [tex]q^3[/tex] and [tex]p^8[/tex]

When dividing exponents, if they have the same base, you subtract the exponents. For example, [tex]\frac{a^x}{a^y}[/tex] has the same base of [tex]a[/tex], so the answer would be [tex]a^{x-y}[/tex].

[tex]q^{6-3}[/tex] = [tex]q^3[/tex]

[tex]p^{5-(-3)}[/tex] = [tex]p^{5+3}[/tex] = [tex]p^8[/tex]

Answer: 168 because (9 × 6) + (9 × 5) + (9 × 5) + (6 × 4 × 0.5) + (6 × 4 × 0.5)  equals 168 :) good day humans

Answer:

The most reasonable estimate for the number of Sunset Park Food  Festival attendees whose favorite type of burger is a sausage bacon  cheeseburger is 760.

Step-by-step explanation:

Assume that Bob's Burgers provides two types of burgers:

Of the random sample of N = 70 attendees, the number of people who said that bacon cheeseburgers were their favorite type of burgers is 32.

Then the number of people who said that sausage bacon cheeseburgers were their favorite type of burgers is, n (S) = 70 - 32 = 38.

Compute the probability that a randomly selected attendee like sausage bacon cheeseburger as follows:

[tex]P(S) = \frac{n(S)}{N}=\farc{38}{70}=0.543[/tex]

It is provided that there are 1400 Sunset Park Food Festival attendees.

Let the random variable X be defined as the number of attendee who likes sausage bacon cheeseburgers.

Then the random variable X will follows a Binomial distribution with parameter n = 1400 and p = 0.543.

This is because, there are a fixed number of trial in the experiment, each trial has the same number of outcomes, i.e. a person either likes bacon cheeseburgers or sausage bacon cheeseburgers and each trial has the same probability of success, i.e. P (S).

The expected value of a Binomial random variable is:

[tex]E(X)=n\times p[/tex]

Compute the expected number of attendees whose favorite type of burger is a sausage bacon  cheeseburger as follows:

[tex]E(X)=n\times p[/tex]

         [tex]=1400\times 0.543\\=760.2\\\approx 760[/tex]

Thus, the most reasonable estimate for the number of Sunset Park Food  Festival attendees whose favorite type of burger is a sausage bacon  cheeseburger is 760.

Answer:

24 books

steps:

If we take the amount 395 and subtract 35, we get a total that is unaffected by the video rack, and can be easily answered now

The total is 360, we are now able to divide 360 by 15, getting the total of 24 books

Answer:

REMA = 31

KEN = 19

Step-by-step explanation:

Let R be Rema

Let K be Ken

R+K = 50

R-K= 12

R-12= K

R+ R-12= 50

2R= 50+12

2R= 62

R= 31

R- 12= K

31-12= K

19= K

Answer:

case 1 = 2592

case 2 =  729

case 1 + case 2 =  2916

(this is not a direct adition, because case 1 and case 2 have some shared elements)

Step-by-step explanation:

Case 1)

6 digits numbers that can be divided by 25.

For the first four positions, we can use any of the 6 given numbers.

For the last two positions, we have that the only numbers that can be divided by 25 are numbers that end in 25, 50, 75 or 100.

The only two that we can create with the numbers given are 25 and 75.

So for the fifth position we have 2 options, 2 or 7,

and for the last position we have only one option, 5.

Then the total number of combinations is:

C = 6*6*6*6*2*1 = 2592

case 2)

The even numbers are 2,4 and 6

the odd numbers are 3, 5 and 7.

For the even positions we can only use odd numbers, we have 3 even positions and 3 odd numbers, so the combinations are:

3*3*3

For the odd positions we can only use even numbers, we have 3 even numbers, so the number of combinations is:

3*3*3

we can put those two togheter and get that the total number of combinations is:

C = 3*3*3*3*3*3 = 3^6 = 729

If we want to calculate the combinations togheter, we need to discard the cases where we use 2 in the fourth position and 5 in the sixt position (because those numbers are already counted in case 1) so we have 2 numbers for the fifth position and 2 numbers for the sixt position

Then the number of combinations is

C = 3*3*3*3*2*2 = 324

Case 1 + case 2 = 324 + 2592 = 2916

Phytagoras Theorem :

b² = c² - a²

b² = 50² - 40²

b² = 2500 - 1600

b² = 900

b = √900

b = 30

So, the exact length of the third side is 30

Hope it helpful and useful :)

Answer:

-6 is the slope

Step-by-step explanation:

y = −6x + 5

This is of the form

y = mx+b where m is the slope and b is the y intercept

-6 is the slope and 5 is the y intercept

Answer:

A. 2x-13

Step-by-step explanation:

Answer:

Step-by-step explanation:

The probability that a person chosen at random from a group of 30 people only visited one of the two landmarks, the Eiffel Tower or the Notre-Dame Cathedral in Paris, is 17/30.

To calculate the probability that a person in a group of 30 people who visited Paris only visited one of the two landmarks - the Eiffel Tower (ET) or the Notre-Dame Cathedral (NDC), we need to apply the principles of set theory and probability.

Firstly, we know that:

13 visited the ET

16 visited the NDC

7 did not visit either place

Adding the numbers of visitors to both places gives us a total of 29 (13 ET + 16 NDC). However, the total number of people is 30, and 7 did not visit either, which implies that 23 people (30 - 7) visited at least one site. Therefore, 29 - 23 gives us 6 people who have visited both places.

To find the number who visited only one place, we subtract those who visited both from the total who visited each:

For ET only: 13 (visited ET) - 6 (visited both) = 7

For NDC only: 16 (visited NDC) - 6 (visited both) = 10

Adding these gives us 17 (7 ET only + 10 NDC only) who visited just one site. Hence, the probability that a person chosen at random visited only one of the two places is:

P(visited only one site) = Number who visited only one site / Total number of people

P(visited only one site) = 17 / 30

Therefore, the probability is 17/30.

Answer:

The answer is 8%

From the given information, the sample proportion is 18% and a margin of error is 4 percent.

Then, a 90% confidence interval to estimate the population proportion is

(18 +/- 4)

(18-4, 18+4)

(14%, 22%)

22-14 = 8

Look at the attached picture ⤴

Hope it will help u ....

Answer:

5 units.

Step-by-step explanation:

For this problem, you will need to use the distance formula. The distance formula is as shown:

d= [tex]\sqrt{({x_{2}-x_{1})^{2}+({y_{2}-y_{1})^{2} }[/tex]

We can plug in the points which would result in:

d=  [tex]\sqrt{({-4-0)^{2}+(-3-0)^{2} }[/tex]

When solved:

d= [tex]\sqrt{25}[/tex]

d= 5 units