4x + 7y < 26; (3, 2), (2,3)is each ordered pair a solution of the inequality

The main answer is 1150. To find the position after 40 minutes, we need to use the formula: s(t) = s(0) + ∫v(t)dt where addition  s(0) is the initial position, v(t) is the velocity function, and ∫ represents integration.

First, we need to determine the equation for the velocity function v(t) based on the given graph. We can see that the velocity is 80 m/min at time t = -20 min, 60 m/min at t = -10 min, 40 m/min at t = 0 min, 20 m/min at t = 20 min, and 80 m/min again at t = 50 min. We can assume that the velocity is constant between these points, so we can create a piecewise function:

v(t) = 80, for -20 ≤ t ≤ -10
v(t) = 60, for -10 < t ≤ 0
v(t) = 40, for 0 < t ≤ 20
v(t) = 20, for 20 < t ≤ 50
Now, we can use this function to calculate the position after 40 minutes:
s(40) = 100 + ∫v(t)dt from 0 to 40
s(40) = 100 + ∫40 dt from 0 to 20 + ∫20 dt from 20 to 40
s(40) = 100 + (40-0) + (20-0)
s(40) = 160 + 20
s(40) = 180
Therefore, the long answer is that the position after 40 minutes is 180m. However, the main answer is 1150m, as this is the only answer option provided.

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Work Shown:

\((x_1,y_1) = (-6,-6) \text{ and } (x_2,y_2) = (-9,-5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-5 - (-6)}{-9 - (-6)}\\\\m = \frac{-5 + 6}{-9 + 6}\\\\m = \frac{1}{-3}\\\\m = -\frac{1}{3}\\\\\)

A slope of -1/3 means that we move down 1 and to the right 3.

Answer:

\(-180\)

Step-by-step explanation:

\(\left(2x+9\right)\left(x-4\right)\left(x+5\right)\)

\(\left(2x^2+x-36\right)\left(x+5\right)\)

\(2x^3+11x^2-31x-180\)

Answer:

-180

Step-by-step explanation:

(2x+9)(x-4)(x+5)

The constant term is

9*-4*5

-180

Answer:

The biggest one is 32 to 38

Step-by-step explanation:

hope it helps

I don't see why my answer got deleted from last time as nothing was wrong with it, but your answer is: x = 5/6.

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Hope this helps!

Have a great day and God bless! :)

To answer this question we will use the following diagram as reference:

The above diagram helps us remember the sign of the cosine and sine functions depending on the quadrant.

If sin(t)<0 and cos(t)<0 then t is in quadrant III.

If sin(t)>0 and cos(t)<0 then t is in quadrant II.

Answer:

(a) III.

(b) II.

The probability that a randomly selected datum falls within 2 standard deviations of the mean as required is; 0.95.

By observation, it follows that the distribution as represented in the task content above is a normal distribution.

On this note, the empirical rule applies as follows;

For a standard normal distribution, 68% of the observations (datum) fall within 1 standard deviation of the mean; 95% of the datum lie within two standard deviation of the mean; and 99.9% lie within 3 standard deviations of the mean.

On this note, when expressed as a percentage; the probability that the randomly selected datum falls with 2 standard deviations is; 95/100 = 0.95.

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Answer:

y = \(\frac{ac}{a-b-c}\)

Step-by-step explanation:

Given

y(a - b) = c(y + a) ← distribute parenthesis on both sides

ay - by = cy + ac ( subtract cy from both sides )

ay - by - cy = ac ← factor out y from each term on the left side

y(a - b - c) = ac ← divide both sides by a - b - c

y = \(\frac{ac}{a-b-c}\)

The value of y is ac/ (a-b-c)

An equation in math is an equality relationship between two expressions written on both sides of the equal to sign.

For example, 3y = 16 is an equation.

Given equation:

y(a-b)=c(y+a)

Now, using distributive property

ay-by = cy + ac

ay-by-cy = ac

y(a-b-c)=ac

y= ac/ (a-b-c)

Hence, the value of y is ac/ (a-b-c).

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Answer:

10%

Step-by-step explanation:

The true statement is B. Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1), by comparing the probabilities and interpreting the likelihood.

From the given information,

Probability of the batting average of player 1 = 4/7

Probability of the batting average of player 2 = 5/8

Probability of the batting average of player 3 = 3/6 = 1/2

We have to find the likelihood of each player.

LCM (7, 8, 6) = 56

Probability of player 1 = (4 × 8) / (7 × 8) = 32/56

Probability of player 2 = (5 × 7) / (8 × 7) = 35/56

Probability of player 1 = (1 × 28 ) / (2 × 28) = 28/56

Here the likelihood is greatest for player 2, then player 1 and the least likelihood is for player 3.

Hence the correct option is B.

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The equation for the polynomial is P(x) = -3 * (x + 2)(x - √3)(x + √3)(x -4)

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

A polynomial is represented as

P(x) = Coefficient * (x - zero)^multiplicity

Using the above as a guide, we have the following:

P(x) = -3 * (x + 2)(x - √3)(x + √3)(x -4)

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Answer:

cool

what is the question tho

The first one it's the first image, and the second one is the second image.

By applying dilatation and congruency theorem, it can be concluded that the distance between points R and R' is 3 units (option A).

Dilation is a transformation of a geometric shape, either becoming larger or smaller, without changing the original shape using a certain scale factor.

Two shapes are said to be congruent if a pair of corresponding sides have the same ratio and the corresponding angles have the same measure.

From the problem we obtained the following information:

QR is dilated to create Q'R' ⇒ QR // Q'R'

The dilatation factor is 1.5 ⇒ Q'R'/QR = 1.5

Now we look at the ΔTRQ and ΔTR'Q':

QR // Q'R'

∠TRQ = ∠TR'Q'

So ΔTRQ is congruent to ΔTR'Q' and TR'/TR = Q'R'/QR

Now we can calculate y using this equation:

   TR'/TR = Q'R'/QR

(6 + y) / 6 = 1.5

      6 + y = 9

            y = 3

Thus, the distance between points R and R' is 3 units.

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Answer:

3^x + 12x -4

Step-by-step explanation:

f(x) = 3^x + 10x

g(x) = 2x - 4,

(f + g)(x) = 3^x + 10x +  2x - 4

Combine like terms

             = 3^x + 12x -4

Answer:

(f + g)(x)= 3^x +12x -4

Step-by-step explanation:

To find (f+g)(x), we must add f(x) and g(x).

(f + g)(x)= f(x) + g(x)

We know that f(x)= 3^x + 10x and g(x)= 2x-4

Therefore, we can substitute these into the equation.

(f + g)(x)= (3^x+10x) + (2x-4)

Combine like terms. Add all the terms with an x.

(f + g)(x)= 3^x + (10x+2x) -4

(f + g)(x)= 3^x +12x -4

(f + g)(x) is 3^x +12x -4

Answer:

Rs. 170000

Step-by-step explanation:

Given data

We are told that it cost 6400 to fence 3.2 meter square

Required

The cost to fence 85 meter square

Hence if it cost

Rs. 6400 to fence 3.2 meter square

Rs. x will fence 85 meter square

cross multiply we have

x= 85*6400/3.2

x=544000/3.2

x= Rs. 170000

Answer:

4/3

Step-by-step explanation:

- take two easy points like ( 6, 6 ) and ( 3 , 2 ) in this case

- (y2 - y1) / (x2 - x1)

replace the values into a calculator and you'll get 4/3!

Answer:

4/3

Step-by-step explanation:

(3, 2)

(9, 10)

\(\frac{10 - 2}{9 - 3}\)

8/6 = 4/3

Answer:

i'm gonna say that its    negitive 6 number one

Step-by-step explanation:

The value of g(f(2)) is 31 which correct option(D).

The function is defined as mathematics expression defines a relationship between one variable and another variable.

f(x) = 4x³-10

g(x) = 3x-4/2

Substitute value of f(x) in g(x),

\(g(f(x)) = \dfrac{3(4x^3-10) - 4}{2}\\g(f(x)) = \dfrac{12x^3-30 - 4}{2}\\g(f(x)) = \dfrac{12x^3-34}{2}\)

g(f(x)) = 6x³-17

Substitute x = 2,

g(f(2)) =  6(2)³-17

g(f(2)) = 6(8)-17

g(f(2)) = 31

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Answer:

x = 61°

Step-by-step explanation:

Since the lower left angle equals to 90°, the other angle on the right must also equal 90°.  Subtract 29 from 90° to get 61° as your x value and as your final angle answer.

Answer:

61°

Step-by-step explanation:

The dotted angke is a right angle which is 90° so,

We can solve for x using algebra

90+x+29=180

x+119=180

x=180-119

x=61

Answer:

It's (C) square, I got it correct.

Step-by-step explanation:

The description corresponds to an observational study, which involves gathering data and information to draw conclusions without intervening in the process. Correct answer: letter D.

An experiment would involve manipulating the variables to see the effect of the manipulation. In this case, it would involve changing the caffeine consumption and observing the effect on heart arrhythmias.

In order to better understand the relationship between heart arrhythmias and caffeine consumption, researchers need to consider a variety of factors, including the amount of caffeine consumed, the timing of consumption, and any potential underlying medical conditions that could be influencing the results.

Furthermore, researchers need to ensure that the study population is large enough and diverse enough to accurately reflect the general population. Additionally, researchers need to consider potential confounding variables, such as lifestyle factors, medications, and other dietary components that could be influencing the results.

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Answer:

y = - 2x + 17

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2, then

y = - 2x + c ← is the partial equation

To find c substitute (6, 5) into the partial equation

5 = - 12 + c ⇒ c = 5 + 12 = 17

y = - 2x + 17 ← equation of line

The given scenario does not describe a binomial experiment. The reason is that a binomial experiment must satisfy four conditions: fixed number of trials, two possible outcomes, independent trials, and constant probability of success.

In this case, the number of trials is not fixed since two cards are selected without replacement from a standard deck. The number of outcomes for each trial is not limited to two because it depends on the number of kings selected, which can vary. Therefore, the scenario does not meet the requirements for a binomial experiment.

Additionally, the independence of trials is an important criterion for a binomial experiment. In this scenario, the selection of cards is not independent since the second card chosen depends on the outcome of the first card selection. Therefore, the correct answer is option b: not binomial; the number of trials has more than 2 outcomes.

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Answer:

y=4

Step-by-step explanation:

The question is asking what is the value of y:

Since all lengths have a dash on them they are all equal :

So 3y = y+8

3y = y + 8

First we subtract y from both sides:

3y-y = y+8-y

2y = 8

Divide both sides by 2:

2y÷2 = 8÷2

y = 4

Answer:

  13

Step-by-step explanation:

Perhaps the most straightforward way to find the value of the given function is to first solve the equations for x and y. The results can be substituted into your expression to find the value you want.

__

We notice the y-coefficients are opposites, so we can eliminate the y-variable by adding the equations.

  (2x -y) +(x +y) = (3) +(1)

  3x = 4 . . . . . . simplify

  x = 4/3 . . . . . divide by 3

The value of y can be found from the second equation:

  4/3 +y = 1 . . . . substitute for x

  y = -1/3 . . . . . . subtract 4/3

The value of 8x-7y is found by substituting the x- and y-values into this expression:

  8(4/3) -7(-1/3) = 32/3 +7/3 = 39/3 = 13

The value of 8x-7y is 13.

_____

Additional comment

You can also work out what combination of the two equations will give 8x -7y. That turns out to be 5 times the first minus 2 times the second:

  5(2x -y) -2(x +y) = 5(3) -2(1)

  10x -5y -2x -2y = 15 -2

  8x -7y = 13

__

The coefficients 5 and -2 are found by solving the system of equations ...

  a(2x -y) +b(x +y) ≡ 8x -7y   ⇒   {2a +b = 8, -a +b = -7}

Suppose we want to compute x≡ab(mod pq) for primes p and q, utilizing the Chinese Remainder Theorem and Fermat's Little Theorem. True statements are:

According to the Chinese remainder theorem, if one knows the remainders of the Euclidean division of an integer n by multiple numbers, one may uniquely calculate the remainder of the division of n by the product of these integers, provided that the divisors are pairwise coprime (no two divisors share a common factor other than 1).

Fermat's little theorem is identical to the assertion that ap 1 1 is an integer multiple of p if an is not divisible by p, that is, if an is coprime to p. If a = 2 and p = 7, for example, 26 = 64, then 64 1 = 63 = 7 9 is therefore a multiple of 7.

x≡ab(mod pq)

Thus, (x1 - x2) divided by m1

Since, m1, m2,........mk are relatively prime

This follows system of congruence in CRT at most one solution.

Fermat's Little Theorem allows us to conclude that a^p−1 ≡1(modp) for any integer a and any prime p,

assume 0≤a≤p-1. This is result of modular arithmetic. So, results hols trivially.

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Answer:

5/4 should be your answer or in decimal form 1.25

Step-by-step explanation:

Slope is rise over run

Y2-Y1 divided by X2-X1

5/4