true or false? the following is a valid proof of the theorem that for every integer n, there is an integer k such that n < k < n 2. assume n is an integer. let k be an integer such that n < k < n 2. this shows that for every n, an integer k such that n < k < n 2 exists.

The expression d^5/d^(-3) simplified as a single power with only positive exponents is d^8.

The expression we're given is d^5 / d^(-3), which can also be written as d^5 × d^3 (using the rule that a/b = a × ( 1/b )).

Recall that when we multiply two terms with the same base, we add their exponents. In this case, the base is d, so we add the exponents of 5 and -3 (or, equivalently, add 3 to 5 and subtract 3 from 5). This gives us:

d^5 × d^3 = d^ (5+3) = d^8

So the simplified expression with only positive exponents is d^8.

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Answer:

0.08 ounces is interpreted as the Mean Absolute Deviation and this means that

the various weights of each of the 48 eggs deviates from the mean of the egg (2.1 ounces)by 0.08 ounces.

Step-by-step explanation:

Mean Absolute Deviation of a data set is defined as the distance or the deviation between a given data set and the calculated mean.

Mean Absolute Deviation tells us about how much a data set varies from it's mean.

From the above question, we are told that after weighing 48 eggs we have a mean of 2.1 ounces and mean deviation of 0.08 ounces

Therefore this means that the various weights of each of the 48 eggs deviates from the mean of the egg (2.1 ounces)by 0.08 ounces

Answer:

V=1/3πr^2h

π=1/3r^2hV

Answer:

volume: 1/3 a²h

= 1/3 ×2²x6

= 8 feet³

Answer:

comment if you hate ttm   (im sorry if its not right)

Step-by-step explanation:

i think its 2.05  

The van contains 12 students and the bus contain 33 students.

The given information is:

The senior class at the high school rented and filled 14 vans and 11 buses with 531 students.

For this, we have to convert it into an equation:

14v+11b=531---------(1)

A High school b rented and filled 7 vans and 7 buses with 315 students.

For this, we have to convert it into an equation:

7v+7b=315----------(2)

To, find the number of students in the van and bus we have to solve two equations :

14v+11b=531

7v+7b=315*2

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

14v+11b=531

14v+14b=630

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

        -3b=-99

           b=33

The total number of students on the bus is 33 members.

Now substitute the b value in any equation, and substitute in equation(2) we get the v value:

7v+7(33)=315

7v+231=315

7v=84

v=12

The total number of students in the van is 12 members.

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Answer: 29-12_< c

Step-by-step explanation:

The total Area is then 160 square units.

Answer: Is there any answers to choose from

Answer:

-7y - 8x

the person who answered the question before me is buggin

B. No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

The Central Limit Theorem (CLT) is a fundamental concept in statistics that states that as the sample size increases, the sampling distribution of the sample means will approach a normal distribution. However, this is only true if certain conditions are met, one of which is having a large enough sample size.
The CLT states that the sampling distribution of x will be approximately normally distributed if the sample size is large enough (usually greater than 30). If the sample size is small, the sampling distribution may not be normally distributed. In such cases, other statistical techniques like the t-distribution should be used.
Furthermore, the CLT assumes that the population being sampled is not necessarily normally distributed, but it does require that the population has a finite variance. This means that even if the population is not normally distributed, the sampling distribution of x will still be approximately normal if the sample size is large enough.
In conclusion, the answer is B, as the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

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This is the answer. If this helps you please give brainliest.

Work Shown:

\(\frac{2^x \times 3^y}{2^4 \times 3^2} = 6\\\\\frac{2^x \times 3^y}{2^4 \times 3^2} = 2\times3\\\\\frac{2^x \times 3^y}{2^4 \times 3^2} = 2^1\times3^1\\\\2^x \times 3^y = (2^4 \times 3^2)(2^1\times 3^1)\\\\2^x \times 3^y = (2^4\times2^1) (3^2\times 3^1)\\\\2^x \times 3^y = 2^{4+1} \times 3^{2+1}\\\\2^x \times 3^y = 2^{5} \times 3^{3}\\\\\)

The 2^x matches with 2^5, showing that x = 5.

3^y matches with 3^3 to get y = 3

Therefore, x+y = 5+3 = 8

Answer -

Discount -

24.50 x 30/100

24.5 x 0.3 = 7.35 saved

24.5 - 7.35 = 17.15

Discount you saved $7.35 , which brings you price 17.15

tax -

17.15 + 0.34 = 17.49

With taxes you pay 17.49

HOPE THIS HELPS :)

Answer:

D) 18!

Step-by-step explanation:

HAHAHAHAHH BESTIEE

The distance traveled by the particle during the time interval (0,t) is (-t²/3)e-3t + (2/27)e-3t meters.

The particle is moving with the velocity v(t) = t²e-3t meters per second after t seconds.

We have to find out how many meters it will travel during the first t seconds (from time-0 to time-t).

To find the distance traveled by the particle during the time interval (0,t),

we need to integrate the velocity function over this interval.

s = ∫v(t) dt (0 to t)

where s is the distance traveled by the particle from t=0 to

t=t, v(t) is the velocity function given by v(t) = t²e-3t.

The integral is:s = ∫t²e-3t dt (0 to t)

Using integration by parts with u=t² and dv/dt=e-3t,

we can find the integral as shown below:

u = t², dv/dt = e-3tdu/dt

= 2t, v = -1/3e-3t∫t²e-3t dt

= (-t²/3)e-3t + (2/3)∫te-3t dt

Again, using integration by parts, with u=t and dv/dt=e-3t,

we have:u = t, dv/dt

= e-3tdu/dt = 1, v

= (-1/3)e-3t∫te-3t dt

= (-t/3)e-3t - (1/9)e-3t

Now, we can evaluate the original integral: s = ∫t²e-3t dt (0 to t)

=(-t²/3)e-3t + (2/3)[(-t/3)e-3t - (1/9)e-3t]

=(-t²/3)e-3t + (2/9)e-3t - (2/27)e-3t

= (-t²/3)e-3t + (2/27)e-3t

So, the distance traveled by the particle during the time interval (0,t) is given by the above expression.

Hence, the required answer is: The distance traveled by the particle during the time interval (0,t) is (-t²/3)e-3t + (2/27)e-3t meters.

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Answer:

Answer should be 248.

Step-by-step explanation:

Multiple 62 by 4.

The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

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Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

Thus, the probability that two people picked at random both own a dog is 0.1296 or 1296/10000.

To solve this problem, we need to use the formula for calculating the probability of independent events: P(A and B) = P(A) x P(B).

In this case, let A be the event that the first person owns a dog and B be the event that the second person owns a dog.

We know that P(A) = 0.36, or 36% chance that the first person owns a dog. Since the events are independent, P(B) is also 0.36.

So, the probability of both events occurring (both people owning dogs) is:

P(A and B) = P(A) x P(B)
= 0.36 x 0.36
= 0.1296

This can also be expressed as a fraction:

P(A and B) = 36/100 x 36/100
= 1296/10000

Therefore, the probability that two people picked at random both own a dog is 0.1296 or 1296/10000.

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Answer: A) obtuse

Step-by-step explanation:

In geometry, there are four main types of angles:

A cross product is a binary operation on two vectors in three dimensions.

This is how the cross product can be calculated:

OR, we may figure it out in the following manner:

cx = aybz azby

cy = azbx axbz cz = axby aybx

Example: A and B's cross product is 2 + 3 + 4 = (5,6,7)

cx = aybz azby = 37 46 = 3

CY = AZBX AZBZ = 45 27 = 6

CZ = AXBY, AYBX = 26, 35, and 3

A + B = (3,6,3) is the solution.

Complete Question is Cross product.

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Definition: Let A and B be sets. We say A is a subset of B, denoted A ⊂ B, if and only if every element of A is an element of B.

Proposition: Let A and B be sets. Then A = B if and only if A ⊂ B and B ⊂ A.

Proposition: Suppose A, B, and C are sets satisfying A ⊂ B, B ⊂ C, and C ⊂ A. Then A = B = C.

Explanation:
1. For the first proposition, A = B if and only if A is a subset of B and B is a subset of A. This means that every element in A is also in B and every element in B is also in A.

2. For the second proposition, if A is a subset of B, B is a subset of C, and C is a subset of A, then A, B, and C must have the same elements. Therefore, A = B = C.

Proposition: For every set A, ∅ ⊂ A.

Explanation:
3. For the third proposition, it states that for any set A, the empty set (∅) is always a subset of A. This means that there are no elements in the empty set that are not in A.

Proposition: Suppose that A is a set and that A ⊂ ∅. Then A = ∅.

Explanation:
4. For the fourth proposition, if A is a subset of the empty set (∅), then A must be equal to the empty set (∅) itself. This means that A has no elements.

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Answer:

69.4 inches

Step-by-step explanation:

62 + 72 + 73 + 69 + 71 = 347

347 / 5 = 69.4

Answer:

7,8

Step-by-step explanation:

Distance Formula:

The distance between two points is the length of the path connecting them. The shortest path distance is a straight line. In a 2 dimensional plane, the distance between points (X1, Y1) and (X2, Y2) is given by the Pythagorean theorem:

d=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√

Calculate Distance

To calculate the distance between 2 points, (X1, Y1) and (X2, Y2), for example, (5, 6) and (-7,11), we plug our values into the distance formula:

d=(−7−5)2+(11−6)2−−−−−−−−−−−−−−−−−√

combining terms inside parentheses we get:

d=(−12)2+(5)2−−−−−−−−−−−√

squaring both terms we get,

d=144+25−−−−−−−√

adding the 2 results,

d=169−−−√

finally,

d=13

Answer:

Sides: 20m

Area: 400m²

Step-by-step explanation:

80/4 = 20 for sides

20x20 = 400 for area

Answer: side= 20m  area=400sqm

Step-by-step explanation:

a square has 4 sides so to find 1 side divide by 4= 20m

area of a square is sidexside = 20mx20m= 400sqm

Answer:

negative four n

Step-by-step explanation: