18+ (-40 =||
please answer

Hey there!

4(9/4 + 5/7c)

= 4(9/4 + 5/7(-7))

= 4(9/4) + 20/7(-7)

= 4(9/4) - 20

= 9 - 20

= -11

Therefore, your answer is: -11

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

your mother i swear

Step-by-step explanation:

ask yo mom

Answer:

(x-5)/(x+1) and x cannot equal -1 because the denominator can't be zero.

Step-by-step explanation:

Factor the numerator:

(x+9)(x-5)

Factor the denominator:

(x+1)(x+9)

So you have

(x+9)(x-5)/(x+1)(x+9); see that you can cross out the (x+9) in both the numerator and denominator?

You're left with (x-5)/(x+1)

The only number that is restricted is -1, because that would make the denominator zero, which is a no no

Answer:

Step-by-step explanation:

To avoid ambiguity please write the given expression as  

                                                                 x² + 4x - 45

x² + 4x - 45/(x^2+10x+9) or (better) as ---------------------

                                                                   x^2+10x+9

Notice that both numerator and denominator have the factor x + 9:

 (x + 9)(x - 5)

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

 (x + 9)(x + 1)

This allows us to cancel out the (x + 9) factor, resulting in:

x - 5

------- ONLY for x ≠ -1 and x = -9

x + 1

We must exclude these two x-values because otherwise the denominator would be zero, which is not allowed.

Given:

Price of 12 shirts = Rs. \(3600\dfrac{3}{5}\)

Price of 6 pants = Rs. \(3000\dfrac{1}{5}\)

To find:

The price of 4 shirts and 4 pants​.

Solution:

It is given that,

Price of 12 shirts = Rs. \(3600\dfrac{3}{5}\)

Price of 1 shirt = Rs. \(\dfrac{1}{12}\times 3600\dfrac{3}{5}\)

Price of 4 shirts = Rs. \(\dfrac{4}{12}\times 3600\dfrac{3}{5}\)

                          = Rs. \(\dfrac{1}{3}\times \dfrac{18003}{5}\)

                          = Rs. \(\dfrac{18003}{15}\)

Price of 6 pants = Rs. \(3000\dfrac{1}{5}\)

Price of 1 pant = Rs. \(\dfrac{1}{6}\times 3000\dfrac{1}{5}\)

Price of 4 pants = Rs. \(\dfrac{4}{6}\times 3000\dfrac{1}{5}\)

                          = Rs. \(\dfrac{2}{3}\times \dfrac{15001}{5}\)

                          = Rs. \(\dfrac{30002}{15}\)

Now, the price of 4 shirts and 4 pants​ is:

\(\text{Required price}=\dfrac{18003}{15}+\dfrac{30002}{15}\)

\(\text{Required price}=\dfrac{48005}{15}\)

\(\text{Required price}=\dfrac{9601}{3}\)

\(\text{Required price}=3200\dfrac{1}{3}\)

Therefore, the price of 4 shirts and 4 pants​ is Rs. \(3200\dfrac{1}{3}\).

Answer:

36

Step-by-step explanation:

Assuming you are looking for the number of unique meals with one appetizer, one entree and one dessert, you multiply the number of options in each 'round':

3*4*3 = 36

The probability of obtaining at least one tail is equal to one minus the probability of getting all heads when a coin is tossed five times.

The probability of obtaining at least one tail is equal to one minus the probability of getting all heads when a coin is tossed five times.

3/8

The probability of obtaining at least one tail is equal to 1 minus the probability of obtaining all heads. The probability of obtaining all heads is 1/2^5 = 1/32. Therefore, the probability of obtaining at least one tail is 1 - 1/32 = 31/32. This simplifies to 3/8.

The probability of obtaining at least one tail is equal to one minus the probability of getting all heads when a coin is tossed five times. The probability of obtaining all heads is one out of two to the power of five, which is equal to one out of thirty-two. Therefore, the probability of obtaining at least one tail is one minus one out of thirty-two, which is equal to thirty-one out of thirty-two. This simplifies to three out of eight.

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The given system of equations has no solution.

Given that a system of equations, 12x + 36y = −3 and −12x − 36y = 0, we need to solve it,

We know for a system of equations =

a₁x + b₁y = c₁ and a₂x + b₂y = c₂

If a₁ / a₂ = b₁ / b₂ = c₁ / c₂ then the system has infinite solutions.

If a₁ / a₂ = b₁ / b₂ ≠ c₁ / c₂ then the system has no solutions.

If a₁ / a₂ ≠ b₁ / b₂ then the system has a unique solution.

comparing the coefficients given,

-12/12 = -1

-36/36 = -1

-3/0 = -3

We get here the condition of a₁ / a₂ ≠ b₁ / b₂, which means that the system has no solution.

Hence the given system of equations has no solution.

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Answer:

Step-by-step explanation:

If the large Jar is $4.10 for 540g

and  small jar  $2.81 for 360 g

You need to show how much it cost for 1 g,so you can compare how much it cost per gram. You would divide the total cost by the grams to see how much it is for 1 g.

Large jar.   $4.10/540 = $.0076  for 1 gram

Small Jar.   $2.81/360 =$.0078 for 1 gram

Because the large jar is cheaper to buy per gram, the large jar is the best value for the money.

The probability that the selected product is a hardware product given that is from company B is x/50.

The probability that the selected product is a hardware product given that is from company A is 3/7.

The value of x must be greater than 21 so that the probability in part (a) is greater than the probability in part (b).

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Company A:

Total product = 70

Software product = 40

Hardware product = 30

Company B:

Total product = 50

Software product = y

Hardware product = x

The probability that the selected product is a hardware product given that is from company B.

= x/50 ____(1)

The probability that the selected product is a hardware product given that is from company A.

= 30/70

= 3/7 _____(2)

From (1 ) and (2) we get,

x/50 > 3/7

x > 3/7 x 50

x > 21

Thus,

The probability that the selected product is a hardware product given that is from company B is x/50.

The probability that the selected product is a hardware product given that is from company A is 3/7.

The value of x must be greater than 21 so that the probability in part (a) is greater than the probability in part (b).

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Answer:

Domain = (-∞, ∞) Range = (-∞, ∞)

End Behavior: As X -> -∞, Y -> -∞ | As X -> ∞, Y -> ∞

Inflection Point: (2,0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

If y y varies directly with x, this is expressed as;

y ∝ x

y = kx

k is the constant of proportionality;

Given

x = 4 and y = 8

Substitute;

8 = 4k

4k = 8

k = 8/4

k = 2

Hence the constant of proportionality k is 2

The dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ration.

To determine the amounts of the 70% protein supplement and the 20% protein ratio needed to make a 1900-pound high-grade 55% protein ration, we can set up a system of equations.

Let's assume x represents the pounds of the 70% protein supplement and y represents the pounds of the 20% protein ratio.

The total weight equation is given by:

x + y = 1900

The protein content equation is given by:

(0.70x + 0.20y) / 1900 = 0.55

Simplifying the second equation, we get:

0.70x + 0.20y = 0.55 × 1900

0.70x + 0.20y = 1045

Now, we can solve this system of equations to find the values of x and y.

Rearrange the first equation to solve for x:

x = 1900 - y

Substitute this expression for x in the second equation:

0.70(1900 - y) + 0.20y = 1045

1330 - 0.70y + 0.20y = 1045

1330 - 0.50y = 1045

-0.50y = 1045 - 1330

-0.50y = -285

y = -285 / -0.50

y = 570

Now substitute this value of y back into the first equation to find x:

x + 570 = 1900

x = 1900 - 570

x = 1330

Therefore, the dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ratio.

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Answer:

We want to find:

\(y'*dx = dy\)

Where:

\(y = x^4*sin(9x)\)

Remember that when we have a function like:

f(x) = g(x)*h(x)

The derivation gives:

f'(x) = g'(x)*h(x) + g(x)*h'(x)

In this case we can define:

f(x) = y

g(x) = x^4

h(x) = sin(9x)

These functions are easy to differentiate:

g'(x) = 4*x^3

h'(x) = 9*cos(9*x)

Then we have:

\(y' = \frac{dy}{dx} = 4x^3*sin(9x) + x^4*9cos(9x)\)

Then we can write:

\(dy = (4x^3*sin(9x) + 9x^4*cos(9x))dx\)

Answer:

0

Step-by-step explanation:

The y-coordinates are the same, so the line is horizontal. Therefore, the slope is zero.

Answer:

  37°

Step-by-step explanation:

The law of sines tells you ...

  sin(P)/p = sin(Q)/q

  P = arcsin(p/q·sin(Q)) = arcsin(9/14·sin(70°))

  P ≈ 37.2°

Answer: Assuming a frictionless, massless pulley, the acceleration of the blocks once they are released from rest can be determined using the equation for acceleration:

a = F/m

where a is the acceleration, F is the force acting on the object, and m is the mass of the object.

In this case, the force acting on the blocks is the force of gravity, which is equal to the weight of the blocks. The weight of an object is equal to the mass of the object multiplied by the acceleration due to gravity, which is 9.8 m/s^2 on Earth. Therefore, the force acting on the blocks is equal to the mass of the blocks multiplied by 9.8 m/s^2.

The acceleration of the blocks will be equal to the force acting on them divided by the mass of the blocks. This means that the acceleration of the blocks will be equal to their weight divided by their mass.

Therefore, to determine the acceleration of the blocks once they are released from rest, you will need to know their mass and their weight. Once you have this information, you can use the equation a = F/m to calculate their acceleration.

Answer:

c

Step-by-step explanation:

edge2020

The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.

Hence, option c) x = -5 and x = 1 is the correct answer.

What is a Quadratic Equation?

Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

To solve for x, we use the quadratic formula

x = (-b±√(b² - 4ac)) / (2a)

Given that;

4(x + 2)² = 36

4( x(x + 2) + 2(x+2) ) = 36

4( x² + 2x + 2x + 4 ) = 36

4( x² + 4x + 4 ) = 36

4x² + 16x + 16 = 36

4x² + 16x + 16 - 36 = 0

4x² + 16x - 20 = 0

We can further simply ( divide through by 4 )

x² + 4x - 5 = 0

Hence,

x = (-b±√(b² - 4ac)) / (2a)

x = (-4±√(4² - (4 × 1 × -5)) / (2×1)

x = (-4±√(16 - (-20)) / (2)

x = (-4±√(16 + 20)) / (2)

x = (-4±√(36)) / 2

x = (-4±6)) / 2

Hence

x = (-4-6)) / 2 and x = (-4+6)) / 2

x = -10/2 and x = 2/2

x = -5 and x = 1

The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.

Hence, option c) x = -5 and x = 1 is the correct answer.

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The probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

To solve this problem using a normal approximation, we need to calculate the mean (μ) and standard deviation (σ) of the binomial distribution and then use the normal distribution to approximate the probability.

Given:

Probability of an airline flight arriving on time (success): p = 0.84

Number of trials (flights): n = 400

Number of flights arriving on time (successes): x > 240

First, we calculate the mean and standard deviation of the binomial distribution using the following formulas:

Mean (μ) = n * p

Standard Deviation (σ) = √(n * p * (1 - p))

μ = 400 * 0.84 = 336

σ = √(400 * 0.84 * 0.16) = √(53.76) ≈ 7.33

Now, we can use the normal distribution to find the probability that more than 240 flights will arrive on time. Since we're interested in the probability of x > 240, we will calculate the probability of x ≥ 241 and then subtract it from 1.

To use the normal distribution, we need to standardize the value of 240:

z = (x - μ) / σ

z = (240 - 336) / 7.33

z ≈ -13.13

Now, we can find the probability using the standard normal distribution table or a calculator. Since the value of z is extremely low, we can approximate it as:

P(x > 240) ≈ P(z > -13.13)

From the standard normal distribution table or calculator, we find that P(z > -13.13) is essentially 1 (close to 100%).

Therefore, the probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

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The scale factor used is:

1 centimeter equals half millimiter.

The scale factor tells us how many units in the sculpture represent a real unit.

We know that:

Real length = 9mm

Length in the sculpture = 18cm

Then we have the relation between the lengths:

18cm = 9mm

Dividing both sides by 18 we will get:

1cm = 9mm/18

1cm = 0.5mm

So the scale is 1 centimeter equals half millimiter.

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log₂ 24 can be expressed as 3 + log₂ 3 in terms of prime factors, using the properties of logarithms.

To express log₂ 24 in terms of prime factors, we can use the properties of logarithms and the fact that any positive integer can be expressed as a product of prime factors.

First, let's find the prime factorization of 24.

24 can be divided by 2, so we have 24 = 2 × 12.

12 can be divided by 2, so we have 12 = 2 × 6.

6 can be divided by 2, so we have 6 = 2 × 3.

Therefore, the prime factorization of 24 is 2 × 2 × 2 × 3, or 2³ × 3.

Now, using the properties of logarithms, we can express log₂ 24 as the sum of logarithms of its prime factors.

log₂ 24 = log₂ (2³ × 3)

According to the properties of logarithms, we can separate the factors inside the logarithm as individual terms:

log₂ (2³ × 3) = log₂ 2³ + log₂ 3

Since log₂ 2³ is equal to 3, we can simplify the expression further:

log₂ (2³ × 3) = 3 + log₂ 3

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Answer:

\(Sum = 1.67\)

Step-by-step explanation:

Given:

\(1.5x^2 - 2.5x -1.5 = 0\)

Required

Determine the sum of the solutions

This question will be answered using quadratic formula:

\(x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}\)

Where:

\(a = 1.5\)

\(b = -2.5\)

\(c = -1.5\)

So, we have:

\(x = \frac{-(-2.5)\±\sqrt{(-2.5)^2 - 4*1.5*-1.5}}{2*1.5}\)

\(x = \frac{2.5\±\sqrt{6.25 +9}}{3}\)

\(x = \frac{2.5\±\sqrt{15.25}}{3}\)

\(x = \frac{2.5\±3.91}{3}\)

\(x = \frac{2.5+3.91}{3}\) or \(x = \frac{2.5-3.91}{3}\)

The sum of the solution is then calculated as:

\(Sum = \frac{2.5+3.91}{3} + \frac{2.5-3.91}{3}\)

Take L.C.M

\(Sum = \frac{2.5+3.91+2.5-3.91}{3}\)

\(Sum = \frac{5}{3}\)

\(Sum = 1.67\)

Answer:

35177.51057 (Rounded - 35177.5)

Step-by-step explanation:

Compound Interest -

- Recalculates how much you should be getting

The format will ALWAYS be y=\(ab^x\)

A = Starting Value

B = Multiplier

X = Time (years)

5% = .05

1.00 + .05 = 1.05%

y=25,000(1.05)^7

= 35177.51057

Let me know if i did anything wrong <3

Answer:

<3, <2 or <6

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

i had it in usatestprep

Answer:

The half-life of a radioactive substance is the time it takes for half of the initial amount of the substance to decay. We can use the fact that 8% of the original amount remains after 100 days to determine the half-life of the isotope.

Let's assume that the initial amount of the substance is 1 unit (it could be any amount, but we're assuming 1 unit for simplicity). After one half-life, half of the original amount remains, or 0.5 units. After two half-lives, half of the remaining amount remains, or 0.25 units. After three half-lives, half of the remaining amount remains, or 0.125 units. We can see that the amount of substance remaining after each half-life is half of the previous amount.

We can use this information to set up the following equation:

0.08 = (1/2)^n

where n is the number of half-lives that have elapsed. We want to solve for n.

Taking the logarithm of both sides, we get:

log(0.08) = n*log(1/2)

Solving for n, we get:

n = log(0.08) / log(1/2) = 3.42

So the number of half-lives that have elapsed is approximately 3.42. Since we know that 100 days is the time for three half-lives (from the previous calculation), we can find the half-life by dividing 100 days by 3.42:

Half-life = 100 days / 3.42 = 29.2 days (rounded to one decimal place)

Therefore, the half-life of the radioactive isotope that leaked into the stream is approximately 29.2 days.

From the statement of the problem, we know that.

• Andrea lives 5 1/2 blocks to the west of school → x = -5.5,

• Ben lives 4 blocks to the east of school → x = +4,

• Christine lives 2 blocks to the west of school → x = -2,

• Doug lives 6 1/2 blocks to the east of school → x = +6.5.

A) Using the data above, we have:

B) The x coordinate of:

• Andrea is x_A = -5.5,

• Ben is x_B = +4.

The distance between Ben and Andrea is equal to the difference between its coordinates:

We find that Ben lives 9.5 blocks from Andrea.

Answer:

  1

Step-by-step explanation:

Translation of a function h units to the right is accomplished by replacing x in the function definition with (x-h).

Here, x has been replaced by x-4, so we expect to see the graph look like the original function graph shifted 4 units to the right.

That matches Graph 1.

Answer:

Step-by-step explanation:

246(.03)= 7.38

246+7.38= $253.38

Answer:

Area of Parallelogram Using Diagonals ; Using Base and Height, A = b × h ; Using Trigonometry, A = ab sin (x) ; Using Diagonals, A = ½ × d1 × d2 .....

Using Diagonals: A = ½ × d1 × d2 sin (y)

Using Base and Height: A = b × h

Using Trigonometry: A = ab sin (x)