Select the values that make the inequality -g> 6 true.

Answer:

Step 2

Step-by-step explanation:

(100 + 3)² = 100² + 2 x 100 x 3 + 3²

This is by the law of squares
(a + b)² = a² + 2ab + b²

Answer:

Step-by-step explanation:

This question can be translated to:

"The manager of the drinking water service in my town creates a water tank in the highlands so that the water can reach the entire town. The cube-shaped shelter is 8 meters long. If the shelter is full, how many liters of water can it contain?"

As you can observe, the volumetric form is a cube with 8 meters long each edge.

We know the volume of a cube is defined as

\(V=l^{3}\)

Where \(l=8 \ m\), replacing this value, we have

\(V=(8 \ m)^{3} \\V=512 \ m^{3}\)

Therefore, the shelter can contain 512 cubic meters of water.

The complete sequence is:

20, 0.6, 41.6667, 69.4444, 12, 500.

To find the missing numbers in the given sequence, let's analyze the pattern and fill in the gaps.

Looking at the sequence, we can observe that there is an exponential pattern occurring.

Let's break it down step by step:

Starting with the first number, 20, we can see that each subsequent number is decreasing or increasing exponentially.

If we divide the second number by the first number, we get 12/20 = 0.6. Similarly, dividing the third number by the second number gives us 500/12 = 41.6667.

We can see that there is a decreasing exponential pattern from the first to the third number.

Let's continue this pattern:

If we divide the fourth number by the third number, we get an approximate value of 41.6667/0.6 = 69.4444.

So, we can deduce that the missing numbers in the sequence are approximately 0.6, 41.6667, and 69.4444.

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Answer:

x = 7

Step-by-step explanation:

(3x-1)/12 = 15/9

27x-9 = 15x12 = 180

27x = 189

x = 7

Answer:

(-4,8)

Step-by-step explanation:

(-1, 2) => (x, y)

is translated 6 units up => 2+6 = 8

3 units left => -1-3 = -4

the coordinates of A′ => (-4, 8)

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Consecutive congruent sides refer to adjacent sides in a geometric shape that have equal lengths, creating a pattern of repetition within the shape.

consecutive congruent sides indicate that there are two sides of a shape that are next to each other and have equal lengths. This means that the lengths of these sides are identical, creating a pattern of repetition within the shape.

let's consider a triangle as an example. If a triangle has consecutive congruent sides, it means that two sides of the triangle that are next to each other have the same length. This creates a situation where the triangle has two equal-length sides that are adjacent to each other, while the remaining side can have a different length. Similarly, in other polygons or shapes, consecutive congruent sides follow the same principle of adjacent sides having the same length.

Overall, consecutive congruent sides highlight a pattern of equality and repetition in the lengths of adjacent sides within a geometric shape

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Answer:

Step-by-step explanation:

\(125+75w\ge 1200\\ \\ 75w\ge 1075\\ \\ w\ge 14.33\\ \\ \text{So she must save for at least 15 weeks.}\)

A drop of water is denser than a ping-pong ball.

Usually, water is made of particles that are firmly pressed together. In differentiation, plastic (the material ping pong balls are made of) may be a lightweight fabric and the particles are not as firmly stuffed together.

The thickness of a ping pong ball is 0.0840 g/cm³, though water’s thickness is 997 kg/m³. Subsequently, ping pong balls aren’t about as thick as water and will continuously coast and surface greatly quickly.

The ping pong ball appears to oppose gravity and coast within the air.

Ping-pong balls drift within the water since they are amazingly lightweight, empty, and filled with air. Too, the water’s surface pressure makes it simple for the ping pong ball to drift.

In expansion, water is denser than ping pong balls, making them look for the most noteworthy point of water.

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The sound which we hear when the pig pong ball is bounced on the floor

is 19.48 DB

The repeating of sounds, especially in rhyme, is the form of repetition that most people connect with poetry. Alliteration, assonance, and onomatopoeia are other sound patterns in poetry that give additional meaning in addition to rhyme. Every one of these audio elements has a certain purpose in a poem.

a) \(\sum \ log(n)\)

by expanding the series for each value of n is

log (1) + log (2) + log(3) + log (4) + ......... + log ( 96)

simplify the expanded form we get

0 + 0.3010 + 0.4771+0.6020 ......................... + 1.982

=> 149.9963

b) \(\sum_{n=0}\) to infinity \(\sqrt{0.9^n}\)

formula for the sum of number in geometric progression

is  a/1-r

to find the ratio of the successive terms

plugging into the formula

r = \(\frac{a_{n+1}}{a_n}\)

r = \(\frac{\sqrt{0.9^{n+1}} }{\sqrt{0.9^n} }\)

=> r = \(\frac{\sqrt{0.9^n \times 0.9} }{\sqrt{0.9^n} .1}\)

=> r = \(\frac{\sqrt{0.9} }{1}\)

=> r = \(\sqrt{0.9}\)

=> a = \(\sqrt{0.9^0}\)

=> a = \(\sqrt{1}\)

=>  a= 1

by applying the formula having the value a =1 is

\(\frac{1}{1-\sqrt{0.9} }\)

rationalize the denominator by multiplying with \(1+\sqrt{0.9}\)

=> \(\frac{1+\sqrt{0.9} }{(1-\sqrt{0.9} ) (1+\sqrt{0.9}) }\)

=> 19.4868

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Optically active compounds can rotate plane-polarized light in

A - Clockwise rotation

B - Counterclockwise rotation

C - Dextrorotatory

D - Levorotatory

Optically active compounds can rotate the plane of polarization of light, which can be either clockwise or counterclockwise. The direction of rotation is usually expressed as either dextrorotatory (abbreviated as +) or levorotatory (abbreviated as -), depending on whether the compound rotates the plane of polarization to the right or left, respectively.

For example, a compound that rotates the plane of polarization to the right (clockwise) is said to be dextrorotatory (+), while a compound that rotates the plane of polarization to the left (counterclockwise) is said to be levorotatory (-).

Therefore, A corresponds to clockwise rotation, B corresponds to counterclockwise rotation, C corresponds to dextrorotatory, and D corresponds to levorotatory.

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controling identifying the problem to be solved, determine the relevant information, and choose how they solve the problem. When students are given the opportunity to make choices in their classwork, they are more invested.

Answer:

$49950

Step-by-step explanation:

you do 45000(.11) which equals 4950. and then you add 4,950 to 45000, and then you get your answer

Given the expression:

Let's determine the solution or the value of x.

Step 1: Applying the rule of the Inverse Property of Multiplication, we divide 60 by 12 to get the

value of x.

Therefore, the solution to this expression is x = 5.

Answer:

Step 1: Put the number into scientific notation.

Step 2: Round up to nearest power of ten or integer times a power of ten.

Step 3: Do your calculations using these estimates.

Step 4: Compare to exact answer if possible.

Answer:

17 x 3 + 8

thats the equation

The inequality that represents relationship the number of video games of Phillip and Emily is 18 + r < 30.

What are types of symbols to connect two expressions?

There are two types symbols that connect two expressions. One is known as equal sign and another one is inequality. There are various symbol under inequality and they are less than, greater than, less than or equal, greater than or equal.

Given that Phillip has 18 video games. Emily has r video games.

The number of video games that Phillip and Emily have is 18 + r.

Also given that together, Phillip and Emily have a combined total of less than 30 video games.

Thus 18 + r < 30

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Answer:

t=p(unit pf weight)

Step-by-step explanation:

t=plbs

total price is the price time the lbs of feed

(unit of weight may change) depending on question

If one variable decreases, the other variable will also tend to decrease if the correlation coefficient is positive.

If the correlation coefficient (r) is positive, it means that the two variables have a positive linear relationship.

This means that as one variable increases, the other variable also tends to increase.

Conversely, as one variable decreases, the other variable tends to decrease as well.

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There are no sign changes in the first column of the Routh array, therefore the system is stable.

Given: Characteristic equation for system `(a)`: 12s⁵ + 4s⁴ + 6s³ + 2s² + 6s + 4 = 0

Characteristic equation for system `(b)`: 12s⁵ + 8s⁴ + 18s³ + 12s² + 9s + 6 = 0

To determine the stability of the systems with the given characteristic equations, we need to find out the roots of the given polynomial equations and check their stability using Routh-Hurwitz criteria.

To find out the stability of the system with given characteristic equation, we have to check the conditions of Routh-Hurwitz criteria.

Let's discuss these conditions:1. For the system to be stable, the coefficient of the first column of the Routh array must be greater than 0.2.

The number of sign changes in the first column of the Routh array represents the number of roots of the characteristic equation in the right-half of the s-plane.

This should be equal to zero for the system to be stable.

There should be no row in the Routh array which has all elements as zero.

If any such row exists, then the system is either unstable or marginally stable.

(a) Let's calculate Routh-Hurwitz array for the polynomial `12s⁵ + 4s⁴ + 6s³ + 2s² + 6s + 4 = 0`0: 12 6 42: 4 2.66733: 5.6667 2.22224: 2.2963.5 0.48149

Since, there are 2 sign changes in the first column of the Routh array, therefore the system is unstable.

(b) Let's calculate Routh-Hurwitz array for the polynomial `12s⁵ + 8s⁴ + 18s³ + 12s² + 9s + 6 = 0`0: 12 18 62: 8 12 03: 5.3333 0 04: 2 0 05: 6 0 0

Since there are no sign changes in the first column of the Routh array, therefore the system is stable.

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We have that MN ≅ QP

And since O is the midpoint of NP, NO≅OP

And since we know that MN and NP are perpendicular, and also QP and PN are too, we know that the angles formes are both right angles.

So, we know the Side(S) , angle(A), and side(A) and both sides share the right angle.

SAS ≅ SAS

The expected count that can be deduced from the arrivals to the second compartment will be 200.

It should be noted that in order to perform a goodness of fit test, the expected number of rats that are in each compartment will be gotten.

Therefore, the expected number of rats that will be in the second compartment will be:

= 1/5 × 1000

= 200

In conclusion, the correct option is 200.

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Answer:

initial value = 5

Step-by-step explanation:

the initial value is the value of y when x = 0.

this is the same as the y- intercept.

from the graph at (0, 5 )

that is when x = 0 the initial value is 5

the executive takes home $1583.40 each week

Answer: 12, 18, 24

Step-by-step explanation:

The extreme values of f(x, y) = xy occur at the points (2, 1) and (-2, -1) on the ellipse \(3x^{2} +2y^{2} =1\).

To find the extreme values of f(x, y) = xy on the ellipse \(3x^{2} +2y^{2} =1\), we can use the method of Lagrange multipliers.

Define the function g(x, y) = \(3x^{2} +2y^{2} -1\). We need to find points (x, y) where the gradient of f is proportional to the gradient of g:

∇f = λ∇g

The gradient of f is ∇f = (y, x), and the gradient of g is ∇g = (6x, 4y). Therefore, we have the following system of equations:

y = 6λx
x = 4λy

Substitute the second equation into the first:

y = 6λ(4λy)
y = \(24λ^{2y}\)

If y ≠ 0, then 1 = \(24λ^{2}\), and λ = ±1/2. Plugging this value into the second equation gives x = ±2. Thus, we have two potential extreme points: (2, 1) and (-2, -1).

Now consider the case when y = 0. The constraint equation becomes \(3x^{2} =1\), and x = ±1/√3. However, these points correspond to f(x, y) = 0, which is not an extreme value.

Therefore, the extreme values of f(x, y) = xy occur at the points (2, 1) and (-2, -1) on the ellipse \(3x^{2} +2y^{2} =1\).

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Answer:

2√5

Step-by-step explanation:

geometric mean of 4 and 5 = √( 4*5) = √20 = √2*2*5 = 2√5

Answer:

2√5

Step-by-step explanation:

4*5= 20

square root of 20 is √20

√20 simplified in radical form is 2√5

Answer:

This is a pretty tricky question but if I'm correct it might be 2

a) Doubling time of the population.

Initial population = 4

Doubling = 2 x 4 = 8

Then, solve for t:

Apply the exponent laws:

Answer a: 23 years

b) Initial population = 4

Triple the population = 3 x 4 = 12

Therefore:

Answer b: 37 years

c) Initial population = 4

Quadruple the population = 4 x 4 = 16

So:

Answer c: 46 years

The correct answer is 1.22 mm per second. The height of the melted ice cream in the cone is rising at a rate of 1.22 mm per second when the cone is 10% full.

This is because the volume of the melted ice cream is increasing at a rate of 1.08 cm per second, and the volume of the cone is 125π cm3. The height of the melted ice cream is therefore rising at a rate of 1.08 cm/s / 125π cm3 = 1.22 mm/s.

The volume of the melted ice cream is increasing at a rate of 1.08 cm per second because the ice cream is melting at a rate of 1.08 cm per second. The volume of the cone is 125π cm3 because the cone has a radius of 5 cm and a height of 20 cm.

The height of the melted ice cream is therefore rising at a rate of 1.08 cm/s / 125π cm3 = 1.22 mm/s.

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Step-by-step explanation:

sorry I can't understand.

really sorry