Which answer choice correctly simplifies the expression Hint: Use distributive property and watch your signs. -4 (x2 - 2xy + 5y2 - 3)? O-4x2 - 2xy + 5y2 - 3 4x2 - xy + 20y2 - 12 0-4x2 + xy - 20y2 +12​

The solution is,  the original number in the work force is 190.76.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

A 35% decrease resulted in a new work force number of 124.

let, the original number in the work force is  x

then,

x - x*35% = 124

or, x - 0.35 x = 124

or, 0.65 x = 124

or, x = 190.76

Hence, The solution is,  the original number in the work force is 190.76.

To learn more on percentage click:

brainly.com/question/13450942

#SPJ1

After solving the given equation we know that students worked for 17 hours a week.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

So, the given equation is:

g=−0.0007h+0.018h+3.02

Now, we know that g is 2.72, so we can calculate for h as follows:

2.72=−0.0007h+0.018h+3.02

2.72 = -0.0173h + 3.02

- 0.3 = -0.0173h

h = -0.3/-0.0173

h = 17.34

Rounding off: 17 hours

Therefore, after solving the given equation we know that students worked for 17 hours a week.

Know more about equations here:

https://brainly.com/question/2972832

#SPJ1

Answer:

1222 billion dollars.

Step-by-step explanation:

To find the total increase from 1960 to 2010, we need to find the growth of each decade and sum them all:

In the period 1960-1970, we have x = 1, and the growth is:

\(y(1) = 43e(1/2) = 70.895\)

In the period 1970-1980, we have x = 2, and the growth is:

\(y(2) = 43e(2/2) = 116.8861\)

The growth in the following 3 periods are:

\(y(3) = 43e(3/2) =192.7126\)

\(y(4) = 43e(4/2) = 317.7294\)

\(y(5) = 43e(5/2) =523.8472\)

So the total growth in the period 1960 - 2010 is:

\(Total = y(1) + y(2) + y(3) + y(4) + y(5)\)

\(Total = 70.895 + 116.8861+192.726+317.7294+523.8472\)

\(Total = 1222.08\ billion\ dollars\)

Rounding to the nearest billion dollars, we have a total of 1222 billion dollars.

Answer:

−10x4+17x2y−6y2-10x4+17x2y-6y2

or the second option

Answer:

72-12k plz mark brainlest

Step-by-step explanation:

Answer:

\(\huge\boxed{\boxed{72-12k}}\)

Step-by-step explanation:

Hello.

Please remember that the Distributive property states that

a(b+c)=ab+ac

Now, simplify:

12(6-k)

distribute 12 by multiplying it times 6 and -k:

72-12k

And we're done!

I hope it helps & have an outstanding day!
~ST2710 :)

The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.

To find the present value of an annuity, we can use the formula:

PV = PMT * (1 - (1 + r)^(-n)) / r

Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.

In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.

Plugging in these values into the formula, we get:

PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05

Simplifying the equation, we find:

PV ≈ 200 * (1 - 0.12198) / 0.05

PV ≈ 200 * 0.87802 / 0.05

PV ≈ 35160.4 / 0.05

PV ≈ 7032.08

Therefore, the present value of the annuity is approximately `7032.08.

None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.

For more such questions on annuity

https://brainly.com/question/25792915

#SPJ8

13 inch step by step

====================================================

Explanation:

Draw a vertical number line. Make sure 4, 0 and -9 are marked on it.

The distance from 4 to 0 is 4 units, or 4 spaces. Let A = 4.

The distance from 0 to -9 is 9 units, or 9 spaces. Let B = 9.

Add up those distances gives a total of A+B = 4+9 = 13 inches, which is the distance from 4 to -9.

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

As an alternative, we can subtract and apply absolute value

Let x = 4 and y = -9

|x-y| = |4-(-9)| = |4+9| = |13| = 13

or

|y-x| = |-9-4| = |-13| = 13

When absolute value is used, the order of subtraction doesn't matter.

Let u = tan⁻¹x, then du/dx = 1/(1+x²).

Using the formula for the derivative of inverse tangent, we have:

tan(u) = x

sec²(u) du/dx = 1

du/dx = cos²(u)

Substituting into the original expression, we get:

∫(tan⁻¹x × e^tan⁻¹x)/(1+x²) dx = ∫(tan⁻¹x × e^u × cos²(u)) du

Using integration by parts with u = tan⁻¹x and dv = e^u × cos²(u) du, we get:

v = (1/2) e^u (sin(u) + u cos(u))

∫(tan⁻¹x × e^u × cos²(u)) du = (1/2) e^u (sin(u) + u cos(u)) tan⁻¹x - ∫[(sin(u) + u cos(u)) / (1+x²)] dx

Substituting back u = tan⁻¹x, we get:

∫(tan⁻¹x × e^tan⁻¹x × cos²(tan⁻¹x)) dx = (1/2) e^tan⁻¹x (x sin(tan⁻¹x) + cos(tan⁻¹x)) tan⁻¹x - ∫[(x cos(tan⁻¹x) + sin(tan⁻¹x)) / (1+x²)] dx

Using the identity sin(tan⁻¹x) = x / √(1+x²) and cos(tan⁻¹x) = 1 / √(1+x²), we simplify the expression to:

∫(tan⁻¹x × e^tan⁻¹x × cos²(tan⁻¹x)) dx = (1/2) x e^tan⁻¹x + (1/2) ∫[e^tan⁻¹x / (1+x²)] dx

The remaining integral can be solved using another substitution with v = tan⁻¹x, which results in:

∫(tan⁻¹x × e^tan⁻¹x × cos²(tan⁻¹x)) dx = (1/2) x e^tan⁻¹x + (1/2) ln(1+x²) + C, where C is the constant of integration

The individuals in this data set are the different apartment complexes: Grand Vistas, Maple Ridge, Old Mill, and Willow Brook.

The individuals in this data set are the different apartment complexes that Camille is comparing. The data provides information on the complex name, number of bedrooms and bathrooms, rent amount, whether rent includes heat, and the amenities offered.

Grand Vistas:

Bedrooms: 2

Bathrooms: 2

Rent: $990

Rent includes heat: No

Amenities: Fitness center, pool

Maple Ridge:

Bedrooms: 2

Bathrooms: 1.5

Rent: $685

Rent includes heat: Yes

Amenities: Fitness center, pool

Old Mill:

Bedrooms: 2

Bathrooms: 1.5

Rent: $790

Rent includes heat: No

Amenities: Pool

Willow Brook:

Bedrooms: 2

Bathrooms: 2

Rent: $885

Rent includes heat: No

Amenities: Jacuzzi

Each apartment complex is represented as an individual in the data set. Camille has collected specific details for each complex, including the number of bedrooms and bathrooms, the rent amount, whether heat is included in the rent, and the amenities provided.

This data set allows Camille to compare different apartment complexes based on these attributes. She can evaluate factors such as rent prices, included amenities, and the presence of heat in the rent. This information will assist Camille in making an informed decision about which apartment complex may be the most suitable for her needs and preferences.

for such more question on individuals

https://brainly.com/question/1249089

#SPJ8

Check the picture below.

\(\textit{Law of Cosines}\\\\ \cfrac{a^2+b^2-c^2}{2ab}=\cos(C)\implies \cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)=\measuredangle C \\\\[-0.35em] ~\dotfill\\\\ \cos^{-1}\left(\cfrac{10^2+4^2-7^2}{2(10)(4)}\right)=\measuredangle A \implies \cos^{-1}\left(\cfrac{ 67 }{ 80 }\right)=\measuredangle A \\\\\\ \cos^{-1}(0.8375) = \measuredangle A \implies 33.12^o \approx \measuredangle A\)

Make sure your calculator is in Degree mode.

Answer:

$539.40

Step-by-step explanation:

62*1.5=93

93*$5.80=$539.40

Answer:

Hello!

___________________

1.5*62*5.80 = $539.40

Alice's pay is $539.40.

Step-by-step explanation: We multiply the number of hours 62 with 1.5 since she is entitled to time and a half. Then we multiply the total hours by the hourly rate $5.80:

Hope this helped you!

:D

Answer:

ΔABC and ΔZYX

Step-by-step explanation:

These two triangles are similar because they can be rotated, reflected and scaled to match each other.

Answer:

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

Taking the inverse tangent (arctan) of the given ratio 7/9.

Use a calculator or trigonometric table to find:

The approximate value of θ is 37.9°.

Answer:

Need more info please

Step-by-step explanation:

The total volume of the air space of spherical ball is A = 12.265625 inches³

Given data ,

Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.

The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.

The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.

The formula for the volume of a cylinder is:

V = πr²h

V = ( 3.14 ) ( 1.25 )² ( 7.5 )

V = 36.796875 inches³

where V is the volume, r is the radius, and h is the height.

So, the volume of the one ball is:

V₁ = ( 4/3 )π(1.25)³

V₁ = 8.177083 inches³

The total volume of three balls is = volume of 3 spherical balls

V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches

Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³

A = 12.265625 inches³

Hence , the volume of air space is A = 12.265625 inches³

To learn more about sphere click :

https://brainly.com/question/27933834

#SPJ1

Answer:

33/100

Step-by-step explanation:

E = 99/3

p = E/S = 33/100

\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)

A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(Input, Output).

One point on the scatter plot for this problem has the coordinates given as follows:

(19, 3).

Hence the meaning is that an input of 19 is mapped to an output of 3.

More can be learned about scatter plots at brainly.com/question/6592115

#SPJ1

Answer:

Step-by-step explanation:

Answer:

the slope is 2/11 pls give me brainliest cause I gave you the actual answer and didnt use u for points

The amount that you need to save per month to fund the emergency fund would be $ 861. 58.

The discretionary money left per month would be $ 585. 88.

The gross income for the month :

= 17. 50 x 40 per week x 4 weeks a month

= $ 2, 800

The amount left which is realized funds for the month is:

= Gross income - FICA + Federal tax withholding + State tax withholding

= 2, 800 x ( 1 - 26. 15 %)

= $ 2, 067. 80

Five months of realized income for the emergency fund is:

= 2, 067. 80 x 5

= $ 10, 339

The amount to save per month is:

= 10, 339 / 12

= $ 861. 58

The amount left per month for discretionary expenses ;

= 2, 067. 80 - 861. 58 - 620. 24 rent

= $ 585. 88

Find out more on emergency fund at https://brainly.com/question/16166117

#SPJ1

Answer:

a= 0.95  2= 0.485 --> (hundredth) 0.49

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

Practice more quarters related questions

https://brainly.in/question/13325111

Answer:

x=6

Step-by-step explanation:

This is a vertical line going through (6,0).  If you take this point and the point given and calculate the slope you find the change in y over the change in x.  

0-(-3)/6-6  The slope is undefined because the denominator of the slope would be zero.

Scott Salman's net pay after subtracting all his deductions is $1,185.97.

How to calculate interest ?

To calculate Scott Salman's net pay after all deductions, we need to first determine his gross pay based on his variable commission.

Sales up to $20,000 will earn him a commission of 3%, which is $600. Sales between $20,000 and $30,000 will earn him a commission of 4%, which is $400. For sales over $30,000, he will receive a commission of 6%. In this case, the sales over $30,000 are $45,550 - $30,000 = $15,550, so his commission on this amount is $933.

Adding up all three commissions, Scott's gross pay is $1,933 ($600 + $400 + $933).

Next, we need to calculate his total deductions. FICA and Medicare deductions are based on a percentage of gross pay, which is 7.65%. For Scott, this comes out to be $147.70 ($1,933 x 7.65%).

Federal and state withholdings are calculated based on his tax bracket and filing status. Assuming he is filing jointly with his spouse, we can estimate his federal withholding to be $345 and state withholding to be $120.

State disability insurance varies by state and cannot be estimated without knowing where Scott lives. Assuming a standard rate of 1%, this comes out to be $19.33 ($1,933 x 1%).

Adding up all these deductions, we get a total of $632.03 ($147.70 + $345 + $120 + $19.33).

In addition, Scott has also made contributions towards his retirement plan, savings bond, and charitable donations. His retirement contribution is $45, his savings bond is $50, and his charitable contributions are $20. Adding these up, his total additional deductions come to $115.

Subtracting his total deductions from his gross pay, we get Scott's net pay:

$1,933 - $632.03 - $115 = $1,185.97.

Therefore, Scott Salman's net pay after subtracting all his deductions is $1,185.97.

To know more about interest visit :-

https://brainly.com/question/25793394

#SPJ1

Answer

i don't know what you want me to do so if you add them it would be three cause of all the adding and subtracting i am very sorry for wasting your time.

Step-by-step explanation

The true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

From the given options, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

Let's analyze each statement:

Its leading coefficient is positive:

The leading coefficient of a polynomial is the coefficient of the term with the highest degree.

From the graph, if the polynomial is going upwards on the right side, it indicates that the leading coefficient is positive.

It has an odd degree: The degree of a polynomial is the highest power of the variable in the polynomial expression.

If the graph has an odd number of "turns" or "bumps," it indicates that the polynomial has an odd degree.

None of the zeroes have even multiplicity:

The multiplicity of a zero refers to the number of times it appears as a factor in the polynomial.

In the given graph, if there are no repeated x-intercepts or no points where the graph touches and stays on the x-axis, it implies that none of the zeroes have even multiplicity.

The other statements (its leading coefficient is negative, it has an even degree, it has exactly two real zeroes, it has exactly three real zeroes, and none of the zeroes have odd multiplicity) cannot be determined based solely on the information given.

Therefore, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

For similar question on polynomial function.  

https://brainly.com/question/31528136

#SPJ8

9 bags sorry for the other answer

she has 7 boxes at home, then she goes and buys 6 more from the store, now she has 7 + 6 = 13 boxes of chips, each box of chip has 13 bags, so the total amount of potato chips I guess is 13 * 13 = 169 bags total.

So she split it even among her 9 students, so how many times does 9 go into 169?  169 ÷ 9, has a quotient of 18 with a remainder of 7.

18 * 9 = 162, plus 7 = 169, which is the total amount of potato chips bags.