Which formula can be used to describe the sequence?
-2/3, -4, -24, -144,...

Answer:

A, (2,5) and (-2,5) are reflections of each other on the x axis

The area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

To find the area of a rectangle, we multiply its length by its width. In this case, the width is given as 5.1 cm and the height (or length) is given as 11.2 cm.

Area = length × width

Area = 11.2 cm × 5.1 cm

Calculating the product, we get:

Area = 57.12 cm²

Therefore, the area of the rectangle is 57.12 cm².

The correct answer is: 57.12 cm².

It is important to note that when calculating the area of a rectangle, we should always include the appropriate unit of measurement (in this case, cm²) to indicate that we are dealing with a two-dimensional measurement. The area represents the amount of space covered by the rectangle's surface.

So, the area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

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Answer:

Step-by-step explanation:

You want the simplified form of (5b^1c^-5)^-3(4b^0a^2)^-5.

There are several useful rules of exponents here:

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

  a^-b = 1/(a^b)

Simplifying the top-level exponents first, we have ...

  \((5b^1c^{-5})^{-3}(4b^0a^2)^{-5}=(5^{-3}b^{1(-3)}c^{(-5)(-3)})(4^{-5}b^{0(-5)}a^{2(-5)})\\\\=(5^{-3}4^{-5})a^{-10}b^{-3+0}c^{15}=\dfrac{1}{5^34^5}a^{-10}b^{-3}c^{15}=\boxed{\dfrac{1}{128000}a^{-10}b^{-3}c^{15}}\)

In terms of answer requirements:

  n = 1/128000

  r = -10

  s = -3

  t = 15

Step-by-step explanation:

Download gauthmath it will help

Answer:

MBI, MBV, ABV, ABI, MPI, MPV, APV, API

Answer:

B

Step-by-step explanation:

Answer:

−3/2

Step-by-step explanation:

Hope this helps

:D

aₙ = 4 × 5⁽ⁿ ⁻ ¹⁾ is the explicit formula for the geometric sequence: 4, 20, 100, 500.

A geometric progression is simply a sequence of non-zero numbers, every term after the first can be determine by multiplying the previous number by a common ratio.

The nth term of a geometric sequence is expressed as;

aₙ = a₁ × r⁽ⁿ ⁻ ¹⁾

Where a₁ is the first term, r is the common ratio and n is the number of terms.

Given the sequence in the question;

4, 20, 100, 500, ...

First determine the common ratio.

r = any term / previous term

r = 20/4

r = 5

Th first term in the sequence is 4.

Plug these into the geometric sequence formula and simply.

aₙ = a₁ × r⁽ⁿ ⁻ ¹⁾

aₙ = 4 × 5⁽ⁿ ⁻ ¹⁾

Therefore, the explicit formula for the sequence is aₙ = 4 × 5⁽ⁿ ⁻ ¹⁾

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The percent of juniors whose score is at least 71 % is 69.15 %.

We are given that:

Test of the students are normally distributed.

Mean = μ = 71

Standard deviation = σ = 5

We need to find the percent of juniors whose score is at least 71 %.

Now, we know that:

z = ( x - μ) / σ

z = 100 - 71 / 5

z = 29 / 5

z = 5.8

So, percentage = 69.15 %

Therefore, we get that, the percent of juniors whose score is at least 71 % is 69.15 %.

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Answer:

B. $424.000

Step-by-step explanation:

The function a(t)=424(1+0.06)

Step-by-step explanation:

x - 5y

= 47 - 5(3)

=47 - 15

= 32

Answer:

32

Step-by-step explanation:

x-5y

47-5×3

47-15

32

plz add my answer as brainliest

The coordinates of the focus of the parabola are (3, 2)

A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix. The general equation of a parabola is -

y = a(x - h)² + k

We have the following equation of a parabola as -

f(x) = (1/4)(x - 3)² + 1

We can calculate the coordinates of the focus using the formula -

Focus : (h, k+ (1/4a))

[h] = 3

[k + (1/4a)] = 1 + (1/(4x 1/4) = 2

Therefore, the coordinates of the focus of the parabola are (3, 2)

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Answer: 90,000

Step-by-step explanation:

Answer:

14.19% probability that exactly three of the twelve support the increase.

Step-by-step explanation:

For each Missourian, there are only two possible outcomes. Either they support the increase, or they do not. The probability of a Missourian supporting the increase is independent of other Missourians. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

40% of Missourians favor increasing the minimum wage.

This means that \(p = 0.4\)

Twelve Missourians are selected at random and asked whether they support the increase.

This means that \(n = 12\)

Find the probability that exactly three of the twelve support the increase.

This is P(X = 3).

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{12,3}.(0.4)^{3}.(0.6)^{9} = 0.1419\)

14.19% probability that exactly three of the twelve support the increase.

Answer:

Step-by-step explanation:

He took 21 months in total.

150 per month in France and 210 per month in Canada

So, He learned in France in 10 months and canada in 11 months

Answer:

1:3 for simplified

3:9 for unsimplified

Step-by-step explanation:

Answer:

1:3 for simplified

3:9 for unsimplified

Step-by-step explanation:

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Answer:

I think 72,000 because since the weightlifter is lifting 72 and it is kg. It is turned into grams. multiplied by 1000 so 72000

The sum of the ball's kinetic energy and potential energy remains the same. as the ball rolls from point A to E.( if there is no friction between the ball and the ground).

based on the law of mechanical energy's conservation, the sum of both kinetic and potential energies i.e. the total amount of mechanical energy remain conserved even in the absence of dissipative forces ( friction or air resistance) in a bound system.

the kinetic energy is when ball goes downward but potential energy decreases and reverse happens when ball goes up. but in these case, the sum energy would be constant one.

The ball would not change the energy.

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Using the lowest common factor of the shuttles' run times, they will depart again for the campus simultaneously at 10.25 A.M.

We can use the lowest common factor (LCM) of their run time to determine when they depart again for the campus.

The lowest common factor of 30 and 20 is 60 because both 30 and 20 can divide 60 evenly without a remainder, showing that it takes 60 minutes for the two shuttles to depart for the campus at the same time.

We can conclude that every 60 minutes or hour, the two shuttles simultaneously depart for the campus.  Every hour, the shuttle departing from Ball Hall completes 2 runs, while the shuttle departing from Lot A completes 3 runs.

Thus, using the lowest common factor, the next time both shuttles will depart for the campus at the same time is 10:25 A.M.

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There are 70 grandparents, 140 parents, and 190 children in attendance at the family reunion

Given data ,

Let's denote the number of grandparents as "g", the number of parents as "p", and the number of children as "c".

Given that there were 400 people total at the family reunion, we can write the equation:

g + p + c = 400

Now , there were twice as many parents as grandparents, so we can write:

p = 2g

And we are given that there were 50 more children than parents, so we can write:

c = p + 50

Now we can use the equations (1), (2), and (3) to solve for the values of g, p, and c.

On simplifying the equation , we get

g + 2g + (2g + 50) = 400

5g + 50 = 400

5g = 400 - 50

5g = 350

g = 350 / 5

g = 70

Now we can substitute the value of g into (2) to find the value of p:

p = 2g = 2 x 70 = 140

And we can substitute the value of p into (3) to find the value of c:

c = p + 50 = 140 + 50 = 190

Hence , there were 70 grandparents, 140 parents, and 190 children in attendance at the family reunion

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Answer:All equal

Step-by-step explanation:

The correct order from least to greatest is log₂ 26, log₂ 33, log 26, eln 4, the correct option is D.

We are given that;

The logs log, 26, log, 33 and log3 26

Now,

We can simplify these expressions using the following identities:

eln x = x

log a a = 1

log a (b × c) = log a b + log a c

log a (b / c) = log a b - log a c

Using these identities and the properties of logarithms listed above, we can compare the given expressions as follows:

A. eln 4 = 4; log 26 < log 33; so we have:

4 < log 26 < log 33

B. eln 4 = 4; so we have:

log 33 < 4 < log 26 < log 26

C. eln 4 = 4; so we have

log₂ 26 < log 26 < log 33 < 4

D. eln 4 = 4; so we have:

log₂ 26 < log₂ 33 < log 26 < 4

Therefore, by logarithm the answer will be log₂ 26, log₂ 33, log 26, eln 4.

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Answer:

Option (A)

Step-by-step explanation:

By the characteristics of a quadrilateral given in the question,

1). All four sides are congruent.

It may be Square, Rhombus

2). Both the pairs of opposite sides are parallel.

It may be Parallelogram, Rhombus.

3). Diagonals are perpendicular.

It may be Rhombus, Rectangle, Square.

Since all three characteristics define the properties of a Rhombus,

The given quadrilateral matches with a rhombus.

Therefore, Option (A) will be the answer.

Answer:

320

Step-by-step explanation:

Is the 3 to 2 part to part?  Out of every 5 people, 3 prefer pizza and 2 do not.  We can us this to set up a proportion.

3/5 = 120/x  The 3 represent the part that like pizza over the whole of 5.  The second ratio is showing the actual number of people that liked pizza over the total number of people.

What would be multiply 3 by to get 120? 40.  So, we will multiply 5 times 40 to get the total number of people.  5 x 40 = 200

The average rate of change for this function for the interval from x=2 to x=4 is B. 27.5.

The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function.

A method that determines the amount of change in one item divided by the corresponding amount of change in another is known as an average rate of change function.

For this special case from the info in the table, we have:

a = 2, f(2) = 9

b = 4, f(4) = 64

And replacing the data into the average rate formula we got:

m = 64-9/4-2 = 27.5

Thus, the correct option is B. 27.5.

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Answer:

\(\frac{1}{3}, \frac{2}{5} , \frac{3}{4} , \frac{4}{5}\)

Step-by-step explanation:

Start by making a common denominator. That way we can just compare the numerators of the fractions and easily order then from least to greatest. Start by finding the LCM(least-common-multiple) of the denominators.

The LCM of 3, 4, and 5, is 60.

So let's make each of the fractions have a denominator of 60.

Start with \(\frac{2}{5}\),

\(\frac{2}{5} =\frac{x}{60}\), no we have to solve for x, and since we multiply by 12 to get to 60 from 5, we multiply 2 by 12 as well.

So, \(x=24\).

Now do the same for each fraction.

\(\frac{1}{3} =\frac{x}{60}\), we multiply by 20, so \(x=20\)

\(\frac{4}{5} =\frac{x}{60}\), we multiply by 12, so \(x=48\)

\(\frac{3}{4}=\frac{x}{60}\), we multiply by 15, so \(x=45\)

So now are new fractions are \(\frac{24}{60} , \frac{20}{60} ,\frac{48}{60} , \frac{45}{60}\)

Now just order these like normal since they have a common denominator.

\(\frac{20}{60} ,\frac{24}{60} , \frac{45}{60} , \frac{48}{60}\)

Now revert them and make them there original values

\(\frac{1}{3}, \frac{2}{5} , \frac{3}{4} , \frac{4}{5}\)