10x^2+9=499
Show me step by step please?

Answer:

B) Three inches and some number of feet have a total measurement a of 39 inches. How many feet are there?

Step-by-step explanation:

A is wrong since you add 3, not remove it.

C is wrong because 12 is the one being multiplied, not 3

D is wrong because x has to be the same thing as 12, just how many of it there are.

Please give brainliest if I helped! :)

The projected balance of cash at the end of August is $38,000. The correct option is D.

To calculate the projected balance of cash at the end of August, we need to consider the cash balance at the beginning of the month, cash collections, and cash payments for August.

Given that the cash balance on July 31 was $32,000.00, we start with this amount.

Cash collections for August are $52,000.00, which means this amount is added to the cash balance.

Next, we consider cash payments for August, which include purchases of direct materials and operating expenses. The total cash payments for August are $20,000 (purchases of direct materials) + $26,000 (operating expenses) = $46,000.00. This amount is subtracted from the cash balance.

Finally, we calculate the projected balance of cash at the end of August by adding the cash collections and subtracting the cash payments from the beginning cash balance:

Projected cash balance at the end of August = Beginning cash balance + Cash collections - Cash payments

= $32,000 + $52,000 - $46,000

= $38,000

Therefore, correct option is D.

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Complete question is:

Berman Company is preparing its budget for the third quarter. Cash balance on July 31 was $32,000.00. Assume there is no minimum balance of cash required and no borrowing is undertaken. Additional budgeted data are provided here:

                                         July           Aug             Sep

Cash collections       $51,000.00 $52,000.00 $50,000.00

Cash payments

Purchases of direct materials     23,000     20,000        24,000

Operating expenses       32,000      26,000    22,000

Capital expenditures      7,000       9,000      13,000

Calculate the projected balance of cash at the end of August.

A. $23000

B. $29000

C. $107000

OD. $38000

Answer:

(0,2)

Step-by-step explanation:

x  = \(\frac{2-2}{2}\) = \(\frac{0}{2}\) = 0  We are finding the average of the x values (2 and -2)

y = \(\frac{-5+9}{2}\) = \(\frac{4}{2}\) = 2  we are finding the average of the y values (-5 and 9)

The relation between x and y such that the point (x, y) is equidistant from point(2, -5) and(-2, 9) = 2x + 7y = -14

Points (2, -5) and (-2, 9).

let (x, y) be A

Let (2, -5) = (-2, 9) = B

Ax = Bx (length)

Squaring on both sides

Ax² = Bx²

By distance formula

(x - 2)² + (y +5)² = (x + 2)² + (y - 9)²

x² - 4x + 4 + y² +10y + 25 = x² + 4x + 4 + y² - 18y + 81

8x + 28y = -56

by multiplying both sides by 4

2x + 7y = -14

This is the relationship between the points (x, y) which is equidistant to A and B.

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Answer: 1.5

Step-by-step explanation:

Answer:

9 − 2y

x + 2y = 9

2x + 4y = 20

x + 3y = 16

2x − y = 11

y = 11 − 2x

4x − 3y = -13

y = 10 + x

-3x + 3y = 30

2x + y = 11

x − 2y = -7

x = 2, y = 7

arrowRight

x = 5, y = 2

arrowRight

x = 3, y = 5

arrowRight

x = 7, y = 3

arrowRight

Step-by-step explanation:

is the right equation and trust me take from a math teacher

The labor force participation rate for this year is 90.77%

The labor force participation rate (LFPR) is a measure of the percentage of the working-age population that is either employed or actively seeking employment. It is calculated by dividing the number of individuals in the labor force (those who are employed or unemployed and actively seeking work) by the total number of working-age adults and then multiplying by 100 to convert the result to a percentage.

In this scenario, there are 325 million working-age adults and 295 million individuals in the labor force. Dividing the number of individuals in the labor force by the total number of working-age adults gives us the proportion of the population that is currently in the labor force.

295 million / 325 million = 0.9077

Multiplying by 100 gives us the labor force participation rate

0.9077 x 100 = 90.77%

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The price of a 12-month short call option is £1.30.

The calculation of the price of a 12-month short call option using a two-step binomial tree procedure. The given information includes the spot price (So) of £15, the strike price (K) of £16, the annual risk-free rate (r) of 5%, and the volatility (o) of 30%.

To calculate the price of the option, we use a binomial tree approach, which involves constructing a tree with two possible price movements at each step, an upward movement and a downward movement. By calculating the expected value at each node of the tree and discounting it back to the current time, we can determine the option price.

In this case, we start by calculating the up and down factors. The up factor (u) is calculated as e^(o*√(T)), where T represents the time in years. The down factor (d) is calculated as 1/u. In this scenario, T is 1 year, so we have u = e^(0.30*√1) and d = 1/u.

Next, we calculate the risk-neutral probability of an upward movement (p) using the formula p = (e^(r*T) - d) / (u - d). Once we have the up and down factors and the risk-neutral probability, we can proceed with building the binomial tree.

Starting from the final nodes of the tree, we calculate the option payoffs at expiration. For a call option, the payoff is the maximum of (S - K, 0), where S represents the spot price. We then move backward through the tree, calculating the expected value at each node by discounting the future payoffs using the risk-free rate.

Finally, we reach the root of the tree, which represents the current option price. In this case, the price of the 12-month short call option is determined to be £1.30.

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The final value would be 1,534,947.20

Joe Schmo:

Joe Shmoe (also spelled Joe Schmoe and Joe Schmo), meaning "Joe Anybody", or no one in particular, is a commonly used fictional name in American English. Adding an "Shm" to the beginning of a word is meant to diminish, negate, or dismiss an argument (for instance, "Rain, shmain, we've got a game to play"). It can also indicate that the speaker is being ironic or sarcastic. This process was adapted in English from the use of the "schm" prefix in Yiddish to dismiss something; as in, "Fancy, schmancy" (thus denying the claim that something is fancy). While "schmo" ("schmoo", "schmoe") is thought by some linguists to be a clipping of Yiddish.

If the home appreciates 7% per year, it will be worth approximately 1,534,947 dollars in 8 years. This can be calculated by multiplying the initial value of the home (800,000) by (1 + 0.07)^8.

You can also use the following formula:

Final Value = Initial Value x (1 + rate)^Years

The final value would be 1,534,947.20

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Answer:

The population density is 150 persons per square mile

Step-by-step explanation:

Firstly, we need to calculate the area of the trapezoid.

Mathematically, the area of a trapezoid is

(a+b)/2 * h

from the grid, we can obtain the lengths

on the x-axis , each line is 40(200/5 thin lines)

on the y-axis, each thin line also is 40(200/5 thin lines)

thus a = (8 * 40) = 320

b = (10* 40) = 400

h = (3 * 40) = 120

Inserting this into the area equation, we have the area of the trapezoid as (320 + 400)/2 * 120 = 43,200 units

since each unit = 1 mile, the area of Tennessee = 43,200 units

The population density is thus ; 6,495,978/43,200= which is approximately 150 persons per square mile

The population density is a number that gives the number of people located within the state.

\(\mathrm{The \ population \ density \ is \ approximately}\ \underline{150}\ \frac{persons}{mi.^2}\)

Reasons:

The population of Tennessee = 6,495,978

The dimensions of the trapezoid model of the territory are;

Base length, a = 320

Base length, b = 400

Height of the trapezoid, h = 120

\(Area \ of \ the \ trapezoid = \mathbf{\dfrac{a + b}{2} \cdot h}\)

Which gives;

\(Area \ of \ the \ trapezoidal \ territory = \mathbf{\dfrac{320 + 400}{2} \times 120 }= 43,200\)

Area of the trapezoidal territory of the state = 43,200 mi²

\(The \ ratio \ of \ the \ population \ to \ the \ territory = \dfrac{6,495,978}{43,200} = 150.36986\overline 1\)

Therefore;

\(The \ population \ density \approx \underline{150}\ \frac{persons}{mi.^2}\)

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The charge density is the volume charge of a charged object. The formula to find the potential at point P is given by ψ=α/r(1/ε²−1) Where ε=r1​/r=r2/√(x²+y²+z²)

The electrostatic potential produced by a charge density is given by

ψ=αrn+r1​n= integer ⟩

∣∣r=x2+y2+z2​whereα= 4πϵ0

Q1​ is a constant and r1​ is a constant.

The distance between the origin and point P(x, y, z) is given by

r=∣r∣

=\(\sqrt{(x^2+y^2+z^2).\)

Let’s consider two cases:r< r1

​For r< r1​, the electric potential is ψ=αrn where n=0,1,2,....

Hence the charges can be represented as a concentric sphere of radius r1​ and charge qn=4πϵ0αrn.

For any n, the charge of the nth sphere is equal toqn=4πϵ0αrn(1)

rn=rn−1​r1​

rn=rr1​n

For n=0, the charge is concentrated at the origin, i.e.,

Q0=q0

=4πϵ0αr0

=4πϵ0α.

The potential at point P(r, θ, φ) due to all the charges is given by

\(ψ=1/4πϵ0[4πϵ0q0/r+4πϵ0q1/r1+4πϵ0q2/r22+…]\\ψ=1/4πϵ0[4πϵ0α/r+4πϵ0α(r/r1)²+4πϵ0α(r/r1)³+…]\)

The potential at point P(r, θ, φ) isψ=α/r(1/ε²−1) ….(1)

Where ε=r1​/r=r2/√(x²+y²+z²) ……(2)

The constant α and r1​ can be expressed in terms of the total charge Q and radius R.

α=Q/4πϵ0R and r1​=R.

Substituting these values in equation (1) we get

ψ=Q/4πϵ0R(1/ε²−1) …..(3)

For r> r1​For r> r1​, the potential can be written as

ψ=αr1​n/rn+1

Here, n=0,1,2,…..

This expression can be represented asq0=αr1​0, q1=αr1​1/r, q2=αr1​2/r², …..

Therefore, the potential at point P(r, θ, φ) is

\(ψ=1/4πϵ0[4πϵ0q0/r+4πϵ0q1/r²+4πϵ0q2/r³+…]\\ψ=1/4πϵ0[4πϵ0α/r1+4πϵ0α(r1/r)²+4πϵ0α(r1/r)³+…]\)

The potential at point P(r, θ, φ) isψ=α/r1/ε ……(4)

Where ε=r/r1​=√(x²+y²+z²)/R.

Here R is the radius of the sphere.

Here, the electrostatic potential produced by a charge density is given by ψ=αrn+r1​n= integer ⟩∣∣r=x2+y2+z2​ whereα= 4πϵ0Q1​ is a constant and r1​ is a constant.

The charge density is the volume charge of a charged object. The formula to find the potential at point P is given by ψ=α/r(1/ε²−1) ….(1) Where ε=r1​/r=r2/√(x²+y²+z²) ……(2)

For r> r1​, the potential can be written as ψ=αr1​n/rn+1

Here, n=0,1,2,…..This expression can be represented asq0=αr1​0, q1=αr1​1/r, q2=αr1​2/r², …..Therefore, the potential at point P(r, θ, φ) is ψ=α/r1/ε ……(4) Where ε=r/r1​=√(x²+y²+z²)/R.

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Answer:

Plan A / 8 songs for 9.60

Step-by-step explanation:

Find out how much each song costs depending on the plan.

9.60/8 = 1.2 and 12.50/10 is 1.25 so Plan A offers the lowest rate for songs.

Answer:

4x-1-5-2x

2x-6

Step-by-step explanation:

Answer:

2x - 6

Step-by-step explanation:

The hourly rate of the electrician is 65 $.

The trip fee paid by the owner = $55

Total earned in trip fee for first three jobs = number of jobs * trip fee = 55 * 3 = 165$

Total amount received by electrician = 480$

Let the electrician's hourly rate = x

For the fourth job, the electrician charged the trip fee plus four times his hourly rate as

= 55 + 4 * x

The electrician's hourly rate can now be calculated as Sum of the first three jobs paid and fourth job paid = Total amount he received.

165 + 55 + 4x = 480

220 + 4x = 480

4x = 480 -220

4x = 260

x = 260 / 4

x = 65 $

Therefore, The electrician's hourly rate is $65 per hour.

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The problem asks us to determine the number of ways to choose a slate of 3 officers consisting of president, vice-president, and secretary/treasurer from a group of 16 club members.

To solve this problem, we can use the formula for combinations. We want to choose 3 officers from a group of 16, and the order in which we choose them does not matter. Therefore, we can use the formula for combinations, which is:

nCk = n! / (k!(n-k)!)

where n is the total number of objects to choose from, k is the number of objects we want to choose, and ! represents the factorial function. In this case, we have n = 16 and k = 3, so we can plug these values into the formula:

16C3 = 16! / (3!(16-3)!) = (16 x 15 x 14) / (3 x 2 x 1) = 560

Therefore, there are 560 different ways to choose a slate of 3 officers from a group of 16 club members.

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Answer:

1/  x = 17

2/ You didn't take the full picture of the second one, so I can't solve

Step-by-step explanation:

1/

5x - 14 = 105 - 2x

7x - 14 = 105

7x = 119

x = 17

Sure, I'd be happy to help you learn how to solve multi-step equations! Here are the general steps:

Simplify each side of the equation by using the distributive property or combining like terms.

Use inverse operations to isolate the variable on one side of the equation. The inverse operation is the opposite of the original operation. For example, if the original operation is addition, you would use subtraction as the inverse operation.

Continue applying inverse operations until the variable is isolated on one side of the equation.

Check your solution by substituting it back into the original equation to make sure it works.

Here's an example to illustrate the process:

Solve for x: 3x + 5 = 11

Simplify each side by subtracting 5 from both sides: 3x = 6.

Isolate x by dividing both sides by 3: x = 2.

So the solution is x = 2.

Remember to always check your answer by substituting it back into the original equation to make sure it works:

3(2) + 5 = 11

6 + 5 = 11

11 = 11

This confirms that the solution is correct.

The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

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use sin

sin(50) = x/6

sin(50) x 6 = x

x = ~4.5963

Answer:

2(x-3)

Step-by-step explanation:

2x² - 2x - 12= 2(x²-x+6)= 2(x²+2x- 3x+6)= 2(x-3)(x+2)

The length of AC and AB is 19 and 11.

It is the measurement of something from end to end or along its longest side or a measurement of a particular part of something:

We have,

BC = 8

AC = 3x - 8

AB = 2x - 7

We can  make the line as:

A______B______C

We can write as:

AC = AB + BC

3x - 8 = 2x - 7 + 8

Simplify all the like terms together.

3x - 2x = 8 - 7 + 8

x = 16 - 7

x = 9

Now,

AC = 3x - 8 = 3 x 9 - 8 = 27 - 8 = 19

AB = 2x - 7 = 2 x 9 - 7 = 18 - 7 = 11

Thus the length of AC and AB is 19 and 11.

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The complete question is:

AC = 3x - 8, BC = 2x + 7, and AB = 8. Find AC and AB.

Answer:

Where is the picture?

Step-by-step explanation:

Answer:

If you multiple 1050 by 20 you will get 21,000.

(a) Potential on the opposite sides of the positive and negative plates is 8475 V and -8475 V, respectively. (b). 772 m/s is the speed at which the positive plate will be struck.

A more technical or sophisticated phrase, velocity, is occasionally used interchangeably with speed to refer to extremely high rates of linear or circular speed, such as the velocity of a bullet.

a). Positivplate should be on the right and negativeplate should be on the left.

Potential equals zero at the center of the plates.

Electric field between it plates: 30e⁻⁶/8.85e⁻¹² (338 V/m) = sigma/e0

Potential is equal to 3389830x, where x is the distance in meters from the center of the plates.

Where x is the distance in meters from the center of the plates, the potential to the left of either the middle point equals -3389830x.

Potential outside of the positive plate is equal to 3389830*0.005/2, or 8475 V.

The potential is -8475 V on the contrary side of the negative plate.

Potential between it plates is equal to -8474 + 3389830x, where x is the distance in meters from the negative plates.

b). Electron energy at the positive plate is equal to [8475 - -8475]. eV = 2*8475*1.6e⁻¹⁹ = 2.712*10⁻¹⁵ J

Speed = sqrt(2E/m) = sqrt(2*2.712e-15/9.1e⁻³¹) = 772 meters per second.

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The matching rational numbers and their equivalent decimal expansions are:

7/9 = 0.777777...

7/15 = 0.466666...

7/10 = 0.7

7/8 = 0.875

What is a rational number?

A rational number is a number that can be expressed as a ratio of two integers, where the denominator is not zero. In other words, a rational number is a number that can be written as a fraction with a finite or repeating decimal expansion.

Matching the given rational numbers to their decimal expansions:

7/9 = 0.777777... (repeating decimal)

7/15 = 0.466666... (repeating decimal)

7/10 = 0.7 (terminating decimal)

7/8 = 0.875 (terminating decimal)

Therefore, the matching rational numbers and their equivalent decimal expansions are:

7/9 = 0.777777...

7/15 = 0.466666...

7/10 = 0.7

7/8 = 0.875

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Answer:

-2

Step-by-step explanation:

\(Rule(s): a\frac{b}{c} = \frac{a \cdot c + b}{c}, \frac{-a}{b}=-\frac{a}{b}, \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c} \\2\frac{2}{3}=\frac{2\cdot 3+2}{3}\\=\frac{8}{3}\\=\frac{-\frac{8}{3}}{\frac{4}{3}}\\=-\frac{\frac{8}{3}}{\frac{4}{3}}\\=\frac{-8\cdot \:3}{3\cdot \:4}\\= \frac{-24}{12}\\= -2\)

Answer:

Ok! When given points, to find the slope, you would use this equation: y2-y1/x2-x1. Let me demonstrate. In this set to find the slope with the coordinates (10,8) and (14,20), the y2 value is 20, and the y1 value is 8, and the x2 value is 14, and the y1 value is 10. So, your equation would look like this: (20-8)/(14-10), which simplifies to 12/4, or 3! So the slope is three, and that's how you do that when using an equation. OR, you could graph them, but that isn't too reliable so I do not recommend trying it, since you may not create the right slope.

Answer:

(17^1/7)^7 SIMPLIFIED is 498.26016735

Answer:

Step-by-step explanation:

Cashews $2.36×(1+20%)=2.832

almonds $1.48×1.2=1.776

penut $0.98×（1+20%）=1.176

1/4 cashew 1/4almonds  1/2peanut

(2.832+1.776)/4+(1.176/2)=1.74$

Answer:

I will study about it and tell u okk

Answer:

I think thats the answer. Check it. (:

Step-by-step explanation:

-2.2x3.4= -74.8

42/-6= -7/10

-3 3/5-( 3 1/10)= -21/10

-2 3/4+(3 1/6)= -2

!I might be wrong!

Someone check this!

Thank you!

Step-by-step explanation:

(180-x)-40=X

140 -x=X

140= 2x

x=140/2

x=70

the answer is 70 degree

Answer:

(x,y). y = x + 3 y = -x - 5

Step-by-step explanation:

Answer:

(-4,-1)

Step-by-step explanation:

I graphed the two lines using a graphing tool. When graphed, the lines intercept at (-4,-1). Therefore, (-4, -1) is the solution.

Please see the graph attached.  

Hope this helps.