An airplane is loaded with cargo and ready to take off before it departs an unknown number of 8 pound boxes, b, Will be taken off the plane and a 600 pound crate will be put on to keep the plane in balance, no more than 400 pounds may be taking off the plane. Right and inequality that best describes this situation.


a. What are the keywords or information needed to solve this problem?


b. I the inequality that describes the situation.


c. How many 8 pound boxes can be taken off the plane? Work out the problem showing all steps taken including computation and explanation.


Please help ASAP!!! I’m so confused, I am awful at algebra!!!

Answer:

  $4.80

Step-by-step explanation:

You want to know the finance charge on a balance of $480 if the APR is 12%.

The monthly finance charge is the product of the monthly interest rate and the balance. The monthly interest rate is 1/12 of the annual rate.

  finance charge = (1/12 · 12%) · $480 = 0.01 · $480 = $4.80

The finance charge on the next monthly statement is $4.80.

The value of x for which (f - g)(x) = 0 is x = 12.

To find the value of x for which (f - g)(x) = 0, we need to subtract g(x) from f(x) and set the resulting expression equal to zero. Let's perform the subtraction:

(f - g)(x) = f(x) - g(x)

= (16x - 30) - (14x - 6)

= 16x - 30 - 14x + 6

= 2x - 24

Now, we can set the expression equal to zero and solve for x:

2x - 24 = 0

Adding 24 to both sides:

2x = 24

Dividing both sides by 2:

x = 12

Therefore, the value of x for which (f - g)(x) = 0 is x = 12.

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Answer:

HUUUHHHHHHHHHHHHHHHHHH

9514 1404 393

Answer:

  40 months

Step-by-step explanation:

Let t represent the number of months. Then Greg's tie count (g) will be ...

  g = 30 + t/4 . . . . . . average rate of tie accumulation is 1/4 tie per month

And Mark's time count (m) will be ...

  m = t . . . . . . . . . . . . average rate of tie accumulation is 1 per month

We want these numbers (g, m) to be equal:

  g = m

  30 +t/4 = t . . . . . substitute the equivalent expressions

  30 = 3/4t . . . . . . subtract t/4

  40 = t . . . . . . . . . multiply by 4/3

After 40 months, Mark and Greg will have the same amount of ties.

Answer:

76

Step-by-step explanation:

decagon = 10 sides

3 heptagons = 3 × 7 = 21 sides

3 nonagons = 3 * 9 = 27 sides

3 hexagons = 3 * 6 = 18 sides

10 + 21 + 27 + 18 = 76 sides in total

hope this helps please like and mark as brainliest

True. Data Envelopment Analysis (DEA) is best used in an environment of low diverges and high complexity. In such situations, DEA can effectively analyze and compare the efficiency of decision-making units, even when dealing with multiple inputs and outputs.

Data Envelopment Analysis (DEA) is a method used to measure the efficiency of decision-making units. It works by analyzing a set of inputs and outputs to determine the relative efficiency of each unit. DEA is best suited for situations where there is low diverges among the units being analyzed, meaning they are all operating under similar conditions. Additionally, DEA is most effective in situations of high complexity, where there are multiple inputs and outputs that need to be considered. Therefore, the statement that DEA is best used in an environment of low divergence and high complexity is true.

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Answer:

Step-by-step explanation:

6 / (3/400)  = ?

6 / 0.0075 = 800

Answer:

-sin(u)

Step-by-step explanation:

This is a Trig identity.  The best way to understand this is to start at zero degrees.  +u would move counterclockwise, while -u moves clockwise.  The sine function gives you how far in the y-direction you are from the x-axis.  Since you're moving the same amount by going u degrees (or u radians) around the circle as you would going -u degrees (or -u radians), your distance from the x-axis is the same.  But it reflects over the x-axis, so the two outcomes are inverses of each other.

Since you need 100 buttons and the pack contains 12, then we must divide 100 by 12 to find out how many packs should you buy:

now, we have that 12x8=96, then you have to buy 9 packs to get at least the 100 buttons needed

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Answer: x = -5

Step-by-step explanation:

4−2(x+7)=3(x+5)4-2(x+7)=3(x+5)Simplify 4−2(x+7)4-2(x+7).Tap for more steps...−2x−10=3(x+5)-2x-10=3(x+5)Simplify 3(x+5)3(x+5).Tap for more steps...−2x−10=3x+15-2x-10=3x+15Move all terms containing xx to the left side of the equation.Tap for more steps...−5x−10=15-5x-10=15Move all terms not containing xx to the right side of the equation.Tap for more steps...−5x=25-5x=25Divide each term in −5x=25-5x=25 by −5-5 and simplify.Tap for more steps...x = −5

The probability that the next ball taken out will be white is 2/3.

Let's analyze the possible scenarios based on the information given. Initially, there are two white balls and no information about the color of the third ball. After adding the third ball, there are three possibilities: WW (two white and one white added), WB (two white and one black added), and BW (one white and one white or black added).

Since one white ball was drawn from the box, we can eliminate the scenario BW (one white and one white or black added). Now, we are left with two possible scenarios: WW and WB. In the WW scenario, there are two white balls out of three, whereas in the WB scenario, there are two white balls out of four.

To determine the probability of the next ball being white, we need to calculate the probability of the scenario WW occurring, given that a white ball was drawn. Using Bayes' theorem, we have:

P(WW | White drawn) = (P(White drawn | WW) * P(WW)) / P(White drawn)

P(White drawn | WW) is 1, as both balls in the WW scenario are white. P(WW) is 1/3, as there are three equally likely scenarios initially. P(White drawn) can be calculated by considering both scenarios where a white ball is drawn: WW and WB.

P(White drawn) = P(White drawn | WW) * P(WW) + P(White drawn | WB) * P(WB)

= (1 * 1/3) + (2/3 * 1/3)

= 1/3 + 2/9

= 5/9

Plugging these values into the Bayes' theorem formula, we get:

P(WW | White drawn) = (1 * 1/3) / (5/9)

= 3/5

= 0.6

Therefore, the probability that the next ball taken out will be white is 2/3 or approximately 0.6.

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Answer:

B

Step-by-step explanation:

-3 squared is 9

9 -(-3) =12

Answer:

Oops I was wrong the first time it's actually -6, first choice

Step-by-step explanation:

Just plug in -3, so x will now be -3

f(-3)=-3^2-(-3) = -(3)^2-(-3) = -9+3 = -6

It's -6 as the equation did not parentheses -3 together so you can only multiply 3

The equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.

What is the isolation of a variable in an equation?

Equations are relations between two quantities involving variables raised to multiple powers, making up terms along with numerals.

Isolation is the process of moving one variable to one-side of the equation and everything else on the other side of the equation.

How to solve the question?

In the question, we are given an equation, y = mx + b, and are asked to write m in terms of x, y, and b.

This means that we need to isolate the variable m, to get an expression equal to m.

The isolation of the variable m can be done as follows:

y = mx + b,

or, y - mx = mx + b - mx {Subtracting mx from both sides},

or, y - mx = b {Simplifying},

or, y - mx - y = b - y {Subtracting y from both sides},

or, -mx = b - y {Simplifying},

or, (-mx)/(-x) = (b - y)/(-x) {Dividing both sides by (-x)}

or, m = (y - b)/x {Simplifying}.

Thus, the equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.

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The equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.

What is the isolation of a variable in an equation?

Equations are relations between two quantities involving variables raised to multiple powers, making up terms along with numerals.

Isolation is the process of moving one variable to one-side of the equation and everything else on the other side of the equation.

How to solve the question?

In the question, we are given an equation, y = mx + b, and are asked to write m in terms of x, y, and b.

This means that we need to isolate the variable m, to get an expression equal to m.

The isolation of the variable m can be done as follows:

y = mx + b,

or, y - mx = mx + b - mx {Subtracting mx from both sides},

or, y - mx = b {Simplifying},

or, y - mx - y = b - y {Subtracting y from both sides},

or, -mx = b - y {Simplifying},

or, (-mx)/(-x) = (b - y)/(-x) {Dividing both sides by (-x)}

or, m = (y - b)/x {Simplifying}.

Thus, the equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.

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Answer:

\( MN = 12 \)

Step-by-step explanation:

Given that points K, L, M, and N are collinear, and the ratio of the segments, KL:LM:MN = 4:3:4, we can find the lenght of MN as follows, since we are also given the total lenght of the whole segment, KN = 33.

Length of MN = the individual ratio value of MN ÷ the total ratio value of the 3 segments × lenght of the whole segment

Individual ratio value of MN = 4

Total ratio value = 4 + 3 + 4 = 11

Length of whole segment, KN = 33

\( MN = \frac{4}{11}*33 \)

\( MN = 4*3 \)

\( MN = 12 \)

For a standard normal distribution, the approximate value of p

( z≥-1.25 ) is 0.8945.

The standard normal distribution is a normal distribution with a mean of zero and a standard deviation of 1. The standard normal distribution is centered at zero and the degree to which a given measurement deviates from the mean is given by the standard deviation.

As we know that Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

It is given that z-score≥-1.25

From the standard normal table, the p-value corresponding to z≥-1.25 is

0.8945.

Therefore, For a standard normal distribution, the approximate value of p ( z≥-1.25 ) is 0.8945.

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Answer:

89%

Step-by-step explanation:

To make it easy. Hope this helps

Answer:

the answer is C

Step-by-step explanation:

Answer: c) 13,400 centiliters

Step-by-step explanation: edge. 2022

To calculate the molecular weight of a gas with a density of 1.524 g/l at STP, we can use the ideal gas law: PV = nRT. At STP, the pressure (P) is 1 atm, the volume (V) is 22.4 L/mol, and the temperature (T) is 273 K. The molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

Rearranging the equation, we get n = PV/RT.

Next, we can calculate the number of moles (n) of the gas using the given density of 1.524 g/l. We know that 1 mole of any gas at STP occupies 22.4 L, so the density can be converted to mass by multiplying by the molar mass (M) and dividing by the volume: density = (M*n)/V. Rearranging the equation, we get M = (density * V) / n.

Substituting the given values, we get n = (1 atm * 22.4 L/mol) / (0.0821 L*atm/mol*K * 273 K) = 1 mol. Then, M = (1.524 g/L * 22.4 L/mol) / 1 mol = 34.10 g/mol. Therefore, the molecular weight of the gas is 34.10 g/mol.

To calculate the molecular weight of a gas with a density of 1.524 g/L at STP, you can follow these steps:

1. Recall the ideal gas equation: PV = nRT

2. At STP (Standard Temperature and Pressure), the temperature (T) is 273.15 K and the pressure (P) is 1 atm (101.325 kPa).

3. Convert the density (given as 1.524 g/L) to mass per volume (m/V) by dividing it by the molar volume at STP (22.4 L/mol). This will give you the number of moles (n) per volume (V):

  n/V = (1.524 g/L) / (22.4 L/mol)

4. Calculate the molar mass (M) of the gas using the rearranged ideal gas equation, where R is the gas constant (8.314 J/mol K):

  M = (n/V) * (RT/P)

5. Substitute the values and solve for M:

  M = (1.524 g/L / 22.4 L/mol) * ((8.314 J/mol K * 273.15 K) / 101325 Pa)

6. Calculate the molecular weight of the gas:

  M ≈ 32.0 g/mol

Therefore, the molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

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As per the formula of surface area of cube, the length of the cube is 5.45 meters.

The general formula to calculate the surface area of the cube is calculated as,

=> SA = 6a²

here a represents the length of cube.

Here we know that  the side of a cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters.

When we apply the value on the formula, then we get the expression like the following,

=> 180 = 6a²

where a refers the length of the cube.

=> a² = 30

=> a = 5.45

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Answer:

24.5%

Step-by-step explanation:

The graph of the quadratic function y = (1/2)*x^2 is on the image at the end.

We want to graph the quadratic function:

y = (1/2)*x^2

To do so, we need to evaluate it in the values x = {−4, −2, 0, 2, 4} to find some points.

if x = -4

y = (1/2)*(-4)^2 = 8

if x = -2

y = (1/2)*(-2)^2 = 2

if x = 0

y = (1/2)*0^2 = 0

if x = 2

y = (1/2)*(2)^2 = 2

if x = 4

y = (1/2)*(4)^2 = 8

So we have the points (-4, 8), (-2, 2), (0, 0), (2, 2), (4, 8).

Now just graph these points and connect them with a parabola, the graph of the quadratic equation is on the image below.

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Using the Pythagorean theorem, we know that the roof of the building is 24 ft far from the ground.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.

According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

So, the Pythagorean theorem formula:

c² = a² + b²

Now, substitute the values in the formula to calculate the distance between the roofline and the ground.

c² = a² + b²

25² = a² + 7²

625 = a² + 49

a² = 625 - 49

a² = 576

a = √576

a = 24ft

Therefore, using the Pythagorean theorem, we know that the roof of the building is 24 ft far from the ground.

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Answer:

See explanation

Step-by-step explanation:

f(x)=x² + x + 2 and g(x) = 2x² - 7

f(2) g(2)=

((2)² + (2) + 2)(2(2)² - 7)=

(4 + 2+ 2)(2(4) - 7)=

(8)(8 - 7)=

8*1=8

2 fg(2)=

2 f(g(2))=

2 f(2(2)² - 7)=

2 f(2(4)-7)=

2 f(8-7)=

2 f(1)=

2(1² + 1 + 2)=

2(1+3)=

2(4)=8

8=8

2 fg(2)=f(2) g(2) √

The probability of event a or event b occurring is equal to the probability of landing on an even number, since event b is a subset of event a.

The problem involves two events, a and b, where event a represents landing on an even number, and event b represents landing on a 6.

These events are overlapping because landing on a 6 is a subset of landing on an even number. To find the probability of either event a or event b occurring, we need to determine the probability of each event and subtract the probability of their intersection.

To calculate the probability of event a or event b occurring (denoted as P(a or b)), we need to find the probability of event a (P(a)), the probability of event b (P(b)), and the probability of their intersection (P(a and b)). In this case, event b is a subset of event a since every number that lands on a 6 is also an even number. Therefore, P(a and b) is equal to P(b).

If we know the probability of landing on an even number (P(a)) and the probability of landing on a 6 (P(b)), we can use the formula:

P(a or b) = P(a) + P(b) - P(a and b)

Since P(a and b) is equal to P(b), the formula simplifies to:

P(a or b) = P(a) + P(b) - P(b)

P(a or b) = P(a)

In conclusion, the probability of event a or event b occurring is equal to the probability of landing on an even number, since event b is a subset of event a.

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Answer:

yes i do

Step-by-step explanation:

1/4 x 12= 3

12 divided by 4 = 3

The rational zeros of the given function R(x) = 2x² - 15x² + 26x² + 15x - 28 are 2, 7/2, and DNE.

The given function is R(x) = 2x² - 15x² + 26x² + 15x - 28.

To find the rational zeros of the given function,

we can use the Rational Root Theorem which states that any rational zero of the function is of the form p/q,

where p is a factor of the constant term and q is a factor of the leading coefficient.

Let's find the factors of 28 and 2:

Factors of 28 are 1, 2, 4, 7, 14, and 28.

Factors of 2 are 1 and 2.

Using the Rational Root Theorem, we can write the possible rational roots of the function as:

p/q = ± 1, ± 2, ± 4, ± 7, ± 14, ± 28, ± 1/2, and ± 7/2.

Now we need to check which of these possible roots are actually the roots of the function.

We can use synthetic division to check for the roots.

Using synthetic division, we find that the root x = 2 is a zero of the given function.

Rewriting the given function using this factor, we get:

R(x) = (x - 2)(2x² - 11x + 14)

Now we can factorize the quadratic 2x² - 11x + 14 by splitting the middle term, we get:

R(x) = (x - 2)(2x - 7)(x - 2) = (2x - 7)(x - 2)²

The rational zeros of the given function are 2, 7/2, and DNE.

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Answer:

x = 28

y = 83

Step-by-step explanation:

We can use ratios to solve

18           21

------  = -------

24            x

Using cross products

18x = 24*21

Divide each side by 18

x = 24*21/18

x =28

The angles must be equal

<M = <I

83 = y

After considering the given data we conclude that the solution on the interval [0, 0.2] is 1.2620

To use the Euler Method to approximate the solution on the interval [0, 0.2] with step size h = 0.1 to four decimal places, we can apply the following steps:
Describe the differential equation and initial condition: \(y' = f(x, y) = 2x + y\), y(0) = 1.
Elaborating the step size h = 0.1 and the number of steps \(n = (0.2 - 0) / h = 2.\)
Initialize the variables: \(x_{0} = 0, y_{0} = 1.\)
For i = 0 to n-1, do the following:
a. Placing the slope at (xi, yi) using f(x, y) = 2x + y: \(k_{1} = f(xi, yi) = 2xi + yi\).
b. Placing the slope at \((xi + h, yi + hk_{1} )\) using \(f(x, y) = 2x + y: k_{2} = f(xi + h, yi + hk_{1} ) = 2(xi + h) + (yi + hk_{1} ).\)
c. Placing the next value of y using the  Euler Method formula: \(yi+1 = yi + h/2(k_{1} + k_{2} ).\)
d. Placing the next value of x: \(xi+1 = xi + h.\)
Rounding the final value of y to four decimal places.
Applying the above steps, we get:
\(x_{0} = 0, y_{0} = 1\)
n = 2
h = 0.1
For i = 0:
\(k1 = f(x_{0} , y_{0} ) = 2(0) + 1 = 1\)
\(k_{2} = f(x_{0} + h, y_{0} + hk_{1} ) = 2(0.1) + (1 + 0.1(1)) = 1.3\)
\(y_{1} = y_{0} + h/2(k_{1} + k_{2} ) = 1 + 0.1/2(1 + 1.3) = 1.115\)
For i = 1:
\(k_{1} = f(x_{1} , y_{1} ) = 2(0.1) + 1.115 = 1.33\)
\(k_{2} = f(x_{1} + h, y_{1} + hk_{1} ) = 2(0.2) + (1.115 + 0.1(1.33)) = 1.7965\)
\(y_{2} = y_{1} + h/2(k_{1} + k_{2}) = 1.115 + 0.1/2(1.33 + 1.7965) = 1.262\)
Hence, the approximate solution of the differential equation \(y' = 2x + y\)on the interval [0, 0.2] with step size h = 0.1 applying  Euler Method is y(0.2) ≈ 1.2620 (rounded to four decimal places).
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Answer:

ans:

Step-by-step explanation:

for two triangle to be congruent corresponding sides and angle must be equal

Answer:

D

Step-by-step explanation:

I think...this is a really hard question but D is the one I would choose. Forgive me if I'm wrong