Which inequality best represents the phrase?

A number less then 0

A. n=0
B. n greater than n 0
C. n greater then n with a underscore on the bottom 0
D. n greater than 0 with a underscore 0​

This problem can be solved with integration. The first step is to integrate f '(t) dt. We use the integration formula for this purpose.The function f(t) has been found using the differential equation f'(t) = sec(t)(sec(t) tan(t))

f '(t) = sec(t)(sec(t) tan(t))

Integral calculus is used to find f(t) since it deals with derivatives.

Let's solve it.

f '(t) = sec(t)(sec(t) tan(t)) f(t) = ∫f '(t) dt

Using the integration formula,

f(t) = ∫ sec^2(t)dt = tan(t) + C [where C is the constant of integration]

f(t) = tan(t) + C

Now we have f(4) = -7. To find the value of C, we'll use

f(4) = -7=tan(4) + C7 = 1.1578 + C C = -7 - 1.1578 = -8.1578

Thus, the function

f(t) = tan(t) - 8.1578.

Therefore,The function f(t) has been found using the differential equation f'(t) = sec(t)(sec(t) tan(t))

In conclusion,f '(t) = sec(t)(sec(t) tan(t)) has been solved using integration. The value of the constant of integration, C, was found using the value of f(4) = -7. The function f(t) = tan(t) - 8.1578 is the solution to the differential equation.

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Using geometric sequence concepts, it is found that the one which results in a sum of -69,905 is:

D. \(\sum_{k = 0}^{9} -\frac{1}{5}(4)^k\)

As a sum, it can be represented by:

\(\sum_{k = 0}^{n - 1} a_1(q)^k\)

The result of the sum is:

\(S = \frac{a_1(1 - q^n)}{1 - q}\)

Item A:

For this sequence, we have that:

\(a_1 = \frac{1}{4} = 0.25, n = 8, q = -5\)

Hence, the sum is:

\(S = \frac{0.25(1 - (-5)^8)}{4} = -24414\)

Item B:

For this sequence, we have that:

\(a_1 = -\frac{1}{4} = -0.25, n = 12, q = 5\)

Hence, the sum is:

\(S = \frac{-0.25(1 - (5)^12)}{-4} = -15258789\)

Item C:

For this sequence, we have that:

\(a_1 = \frac{1}{5} = 0.2, n = 11, q = -4\)

Hence, the sum is:

\(S = \frac{0.2(1 - (-4)^11)}{3} = 279620.3\)

Item D:

For this sequence, we have that:

\(a_1 = -\frac{1}{5} = -0.2, n = 10, q = 4\)

Hence, the sum is:

\(S = \frac{-0.2(1 - (4)^10)}{-3} = -69905\)

Hence option D is correct.

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Answer:

Yes, this is correct.

Step-by-step explanation:

Assuming the first equation was a = b, yes. a * c = a * b will also be true. This is known as the Multiplication Property of Equality

The length of the rectangle is 19 cm.

The formula for the area of a rectangle,

Area = Length x Width

Given that the area is 336 cm squared.

So, we can set up an equation,

⇒ 336 = (w + 5)w

where w represents the width of the rectangle.

Expanding this equation,

⇒ 336 = w² + 5w

Moving all terms to one side:

⇒ w² + 5w - 336 = 0

This is a quadratic equation that we can solve using the quadratic formula,

⇒ w = (-5 ± √(5² - 4(1)(-336))) / (2(1))

⇒ w = (-5 ± 23) / 2

We'll take the positive value,

⇒ w = 14

So, the width of the rectangle is 14 cm.

We also know that the length is 5 cm more than the width,

Therefore,

⇒ l = w + 5

⇒ l = 14 + 5

⇒ l = 19

Therefore, the length of the rectangle is 19 cm.

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The distance travelled across the slant will be -

h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}² and yes it will slide down again.

If we take a single vector we can find a pair of vectors at right angles to each other that would combine to give the single original vector. This reverse process is called resolution or resolving vectors.

Given is that  body slides down a 22º inclined plane with constant speed. It is then thrown in the opposite direction by the same plane with an initial velocity of 4.0 m/s.

[A] -

We can write the total distance covered along the slant as a function of [x] and [y] components as -

h = h[x] i + h[y] j

Now -

h[x] = 4tcos(22°)

Now -

F = ma

F = m{dv/dt}

Fdt = mdv

mg sin(22°)dt = mdv

dt = {1/g sin(22°)}dv

∫dt = ∫ {1/g sin(22°)}dv

t = v/g sin(22°)

So, we can write -

h[x] = 4 cos(22°)v/g sin(22°)

h[x] = {4v/g}{cot (22°)}

Similarly -

h[y] = 4t'cos(22°)

F = ma

F = m{dv/dt}

Fdt = mdv

N cos(22°) - mg = F

{N cos(22°) - mg}dt' = mdv

{mg cos(22°) - mg}dt' = mdv

{g cos(22°) - g}dt' = dv

dt' = dv/{g cos(22°) - g}

∫dt' = ∫dv/{g cos(22°) - g}

t' = {v/g(cos(22°) - 1)}

So -

h[y] = 4 x  {v/g(cos(22°) - 1)} x  cos(22°)

h[y] = {4v/g(cos(22°) - 1)} cos(22°)

So -

Distance travelled across the slant -

h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}²

[2] -

Yes, it will slide down again.

Therefore, the distance travelled across the slant will be -

h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}² and yes it will slide down again.

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{Question in english language -

A body slides down a 22º inclined plane with constant speed. It is then thrown in the opposite direction by the same plane with an initial velocity of 4.0 m/s. a) How far will it go up the plane before stopping? b) Will it slide down again? HELP IS FOR TODAY!!!}

The solution for x in the equation is x = 7

From the question, we have the following parameters that can be used in our computation:

3√4x-1-7=-4

Express properly

∛(4x - 1) - 7 = -4

Add 7 to both sides

∛(4x - 1) = 3

Take the cube root of both sides

4x - 1 = 27

So, we have

4x = 28

Divide by 4

x = 7

Hence, the value of x is 7

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The expression for finding the area of the given parallelogram is A = 14h.

In geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Given that, the length of the base of a parallelogram is 14 centimeters, and the corresponding height is ‘h’ centimeters.

We need to find the expression which gives the area of the parallelogram,

Since, we know that the area of the parallelogram is the product of the its height and the base length,

Area = height x base

Area = 14h

Hence, the expression for finding the area of the given parallelogram is A = 14h.

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Answer:

-17

Step-by-step explanation:

given:

-3x^2 - 2x -9 when x= -2

rewriting so it's easier to view:

\(-3x^2 - 2x -9\)

substituting:

\(-3(-2)^2 - 2(-2) -9\)

simplifying step-by-step:

\(-3(4) - 2(-2) -9\)

\(-12 - 2(-2) -9\)

\(-12 +4 -9\)

\(-8-9\)

-17

Hope this helps, have a nice day! :D

Answer:

-17

Step-by-step explanation:

Hi there!

\(-3x^2 - 2x -9\)

Replace x with -2:

\(=-3(-2)^2 - 2(-2) -9\\=-3(4) - (-4) -9\\=-12 +4-9\\= -17\)

I hope this helps!

They are congruent but not similar is true about triangle M and N.

When a triangle is dilated with a scale factor 2, its side lengths are multiplied by 2 and its area is multiplied by 4.

When a triangle is reflected over the x-axis, its orientation is flipped, but its size and shape remain the same.

Since Triangle M is reflected over the x-axis, its orientation is flipped.

Then, it is dilated with a scale factor of 2.

Therefore, Triangle N is similar to Triangle M, but not congruent to it, because its size has been doubled.

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The populations from which the samples are obtained must be normally distributed.

Sampling is done correctly. Observations for within and between groups must be independent.

The variances among populations must be equal (homoscedastic).

Data are interval or nominal.

The percentage that is less than the average number of shoppers in the original store at any time is 60%.

Little's law is a fundamental principle in queueing theory that relates the average number of customers in a stable system to the average time that a customer spends in the system.

The law states that the average number of customers N in the system is equal to the average rate of customer arrivals r multiplied by the average time W that a customer spends in the system:

Here we have

For the new store, the owner estimates that, during business hours, an average of 90 shoppers per hour enter the store and each of them stays an average of 12 minutes.

=> Number of shoppers per minute = 1.5    

=> Rate of shoppers per minute = 1.5

The manager estimates that each shopper stays in the store for an average of 12 minutes.

Hence, by Little’s law, the number of shoppers N = r × t

=> Number of shoppers = (1.5) × 12 = 18  

Let the estimated average number of shoppers in the original store at any time be 45.    

So, the number of shoppers is (45 - 18) less than the original i.e 27

Percentage  [ 27/45 ] × 100 = 60%  

Therefore,

The percentage that is less than the average number of shoppers in the original store at any time is 60%.

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Hence, the equation is of the form \(2.5x+3.5y=52.50\).

What is the system of equation?

A system of equations, also known as a set of simultaneous or an equation system, is a finite set of equations for which we sought the common solutions.

Here given that,

Nolan is going to a carnival that has games and rides. Each game costs $\(2.50\) and each ride costs $\(3.50\). Nolan spent $\(52.50\) altogether on \(17\) games and rides.

So, let us assume that the number of games are \(x\) and the number of rides are \(y\).

So, the equation is of the form

\(2.5x+3.5y=52.50 ........(1)\)

And Noaln spent altogether $\(52.50\) on \(17\) games and rides.

So,

\(x+y=17\)

Then,

\(2.5x+2.5y=2.5(x+y)\\As,\\x+y=17\\So,\\=2.5(17)\\\\=42.5.....(2)\)

Now, subtract equation \((2)\) from equation \((1)\), we get

\(x=52.5-42.5\\\\x=10\)

\(y=17-10\\y=7\)

So the equation is of the form

\(2.5(7)+3.5(10)=52.50\\17.5+35=52.50\\52.50=52.50\)

Hence, the equation is of the form \(2.5x+3.5y=52.50\).

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Answer:

7/8 or 0.875

Step-by-step explanation:

If you want it in fraction form, it's 7/8. If you want it in decimal form, it's 0.875.

Answer:

a. 6.75 ft

b. Exponent on w is w^4

Step-by-step explanation:

a. The best thing here is to work with decimals

each piece was 3/4 foot tall which means each piece is 0.75 ft tall

Now since he staked 9, the height of the wood pile would be 9 * 0.75 = 6.75 ft

b. Firstly let’s evaluate the denominator

That becomes; 2v^-3w^8 * v^4w = 2v^(-3+4)w^(8+1) = 2vw^9

So let’s now divide this by the numerator

Since we are concerned with only the exponent on w, we place w^13 over w^9 = w^(13-9) = w^4

Answer:

A. 1

Explanation:

Given the point P(-5,5), this falls in the second quadrant.

Accoording to pythagoras theorem;

r^2 = x^2 +_ y^2

r^2 = (-5)^2 + 5^2

r^2 = 25 + 25

r^2 = 50

r = \sqrt[50]

r = 5\sqrt[5]

Get cot theta;

cot theta = 1/tan theta

in the second quadrant, tan theta = y/-x

tan theta = 5/-(-5)

tan theta = 5/5

tan theta = 1

Recall that cot theta = 1/tan theta

cot theta = 1/1

cot theta = 1

Hence the correct option is A

The proportion of rods with a length less than 29.9 cm is approximately 0.0764 (or 7.64%).

To find the proportion of rods that have a length less than 29.9 cm, we need to calculate the cumulative probability up to 29.9 cm using the normal distribution.

First, we need to calculate the z-score, which is a measure of how many standard deviations away from the mean a particular value is:

z = (x - μ) / σ

where x is the value we want to find the proportion for (29.9 cm in this case), μ is the mean (30 cm), and σ is the standard deviation (0.07 cm).

Plugging in the values, we get:

z = (29.9 - 30) / 0.07

= -0.1 / 0.07

≈ -1.4286

Next, we look up the cumulative probability corresponding to the z-score of -1.4286 in the standard normal distribution table. The table provides the area under the normal curve to the left of the given z-score.

From the standard normal distribution table, we find that the cumulative probability for a z-score of -1.4286 is approximately 0.0764.

Therefore, the proportion of rods with a length less than 29.9 cm is approximately 0.0764 (or 7.64%).

Note: The table of areas under the normal curve may be needed to obtain the precise value for the cumulative probability.

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Answer:

Just do (2x-3)+(x-5)+(x)=180°

Step-by-step explanation:

It is sum of angles of triangle

sorry it took so long i was struggling on this question but heres the answer i go on the measurement on each side.

2x³ +13x³+15x

hope that helped you out ,also please mark me me brainiest and follow me:)

Answer:

30

Step-by-step explanation:

2^3=8

8x3=24

24+6=30

Answer:This is 69

Step by step explanation:67 +2 is 69

Answer: Your answer would be 8.

Step-by-step explanation:

As you can see when you list out the factors of each number, 8 is the greatest number that 16 and 24 divides into.

The future value in 13 years when compounded continuously is; $18183.25

Continuous compounding is defined as the process of calculating interest and reinvesting it into an account's balance over an infinite number of periods.

The formula for continuous compounding is;

V = Pe^(rt)

where;

V is the value of the account in t years

P is the principal initially invested

e is the base of a natural logarithm.

r is the rate of interest

We are given;

P = $6770

r = 7.6% = 0.076

t = 13

Thus;

V = 6770 * e^(0.076 * 13)

V = $18183.25

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The correct answer is (a) event. An event is a subset of outcomes from the sample space. It represents a specific outcome or set of outcomes that we are interested in. Events can be simple, consisting of a single outcome, or they can be compound, consisting of multiple outcomes.

For example, consider rolling a fair six-sided die. The sample space is {1, 2, 3, 4, 5, 6}. Let's say we are interested in the event of rolling an even number. The event in this case would be {2, 4, 6}, which is a subset of the sample space.

Events can also be mutually exclusive, meaning they cannot occur at the same time, or they can be independent, meaning the occurrence of one event does not affect the probability of the other event occurring.

In summary, an event is a subset of outcomes from the sample space and represents a specific outcome or set of outcomes that we are interested in. It is an important concept in probability theory.

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Answer:

8

Step-by-step explanation:

Answer:

The equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17

Step-by-step explanation:

The given parameters are;

Length of the saw blade = 40 cm

Thickness of the wood across = 8 cm

Length of blade between wood saw handle with hand extended = 5 cm

Length of the tip from the wood at the above time = 40 - 8 - 5 = 27 cm

Length of blade between wood saw handle with saw pulled inwards = 25 cm

Length of the tip from the wood at the above time = 40 - 8 - 25 = 7 cm

Time for one complete cycle = 1 second

We note that the basic equation for oscillatory motion is of the form;

x(t) = A·cos(ωt) + d

Where:

A = Amplitude of the motion = (27 - 7)/2 = 10 cm

ω = Angular frequency = 2·π/T

ωt = Motion's phase

t = Time of the motion

d = The middle location = 27 - 10 = 17 cm

T = The time to complete a cycle = 1 s

Therefore;

ω = 2·π

Given that he stars with his arm extended out, we have;

27 = 10×cos(2×π×0) + 17

Therefore, the equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17.

Answer:

ok, here is your answer

Step-by-step explanation:

The answer is (d) 258.000 g and 2.58×10^-2g.Both numbers have the same number of significant figures, which is six.The first number, 258.000 g, has three significant figures after the decimal point, and three before the decimal point. The zeros after the decimal point are significant because they are part of a measured quantity.The second number, 2.58×10^-2g, is written in scientific notation. It also has six significant figures because the number 2.58 has three significant figures, and the exponent -2 has two significant figures.-

Angela's score is in the 87th percentile, which means that 87% of the scores were at or below her score.

To calculate the percentage of scores above her score, we subtract 87% from 100%. Therefore, the percentage of scores above Angela's score is 13%.

In summary, Angela's score is at or below 87% of the scores, and 13% of the scores are above her score. The percentile score indicates the percentage of scores that fall below a particular score. Therefore, Angela performed better than 87% of the test takers who took the aptitude test in accounting.

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Check the picture below.

so, hmmm notice, since i² = -1 and i⁴ = 1, whenever the exponent is only divisible by 2, the value will be -1, and whenever the exponent is divisible by 4, we end up with a +1, so every subsequent even exponent is simply cancelling the previous value, if we take that to the even value of 100, which has 50 pairs of those, we end up with, yeap, you guessed it, 0.