(9x + 5) - (4x + 3)

Please show work

Answer:100 cm

Step-by-step explanation: first, you would find the area of the whole rectangle.

L x W = A

10x14=140

Next, find the area of the unshaded part. To do this, you would subtract 6 from 14

14-6=8

After that, times 8 by 10, then divide by 2

10x8=80

80÷2=40

Take 40 and subtract it from the area of the whole rectangle

140-40=100

The bottleneck time is 10, as this is the longest time for any station in the assembly line.

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In this case, e area of the shaded region, r = 4 + 3 sin theta r = 4 and θ = 0, 2π, 4π, ...

The line created by the ends of phasors whose lengths represent the magnitude, or amplitude gain, of the system and which are drawn at angles according to their phase is known as the polar plot of the frequency response of a system.

In a polar plot, the area between the curve and the origin is shown as a shaded region. You can use the definite integral to calculate the area of this area. The following is the general formula for calculating the distance between a polar curve and the origin:

A = 1/2 * ∫r^2 dθ from θ1 to θ2

where r = 4 + 3 sin(θ) and θ1 and θ2 represent the bounds of the shaded region in terms of theta.

To find the exact bounds, you need to determine the values of θ for which the curve intersects the r-axis (i.e., when sin(θ) = 0). In this case, r = 4 and θ = 0, 2π, 4π, ...

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Answer:

\(= \frac{2x-3\sqrt{x} }{x-1}\)

Step-by-step explanation:

Given the expression

\(\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}\)

Expand

\(\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}\\= \frac{x+2\sqrt{x}+1+(x-2\sqrt{x} +1) }{x-1}- \frac{3\sqrt{x} +1}{x-1}\\= \frac{2x+1}{x-1} - \frac{3\sqrt{x} +1}{x-1}\\= \frac{2x+1-(3\sqrt{x} +1)}{x-1}\\= \frac{2x-3\sqrt{x} +1-1}{x-1}\\= \frac{2x-3\sqrt{x} }{x-1}\)

This gives the simplified form

Answer:

Ok so I kind of want you to learn how to do this because its really easy. You add up all of the numbers then you count how many numbers there are and you divide of all of the numbers that you added up  and the sum of how many numbers there are for example if I had 34,65, 75, 85, 14, and 23 It would be 34+65+75+85+14+23= 269. There are 6 numbers so 269 divided by 6 and you get 44.8 IF THIS HELPS!!

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

The number of trials is n = 3.

The number of heads is r = 1.

The probability of heads is p = ½.

The probability of getting 1 heads and 2 tails is:

P = ₃C₁ (½)¹ (1 − ½)³⁻¹

P = 3 (½) (½)²

P = 3/8

So the probability of not getting 1 heads and 2 tails is:

1 − P = 5/8

Answer:

$6

Step-by-step explanation:

Round $42.58 to the nearest ten dollars to get $40. $40 ÷ 100 = $0.4 so this is one percent. $0.4 × 15 is $6 which is an estimate of 15% of $42.58.

The answer is $6 (unless if you are meant to add this to $42.58 - then the answer would be $48.58 - but I am not sure because of the wording of the question).

Therefore, the dimensions of the kennel are 3.5 feet by 9 feet.

In mathematics, area is a measure of the amount of space inside a two-dimensional shape, such as a rectangle, circle, triangle, or polygon. It is expressed in square units, such as square meters (m²), square feet (ft²), or square centimeters (cm²). Knowing the area of a shape can be useful in many real-world situations, such as calculating the amount of paint needed to cover a wall, determining the size of a piece of land, or estimating the amount of material needed for a construction project.

Here,

Let the length of the kennel be L and the width be W. Since we are using 25 feet of fence material, the total length of fencing we need is:

2L + W = 25 - 9 = 16

We also know that one side of the kennel is 9 feet long, so we can substitute W = 9 into the equation above to get:

2L + 9 = 16

Subtracting 9 from both sides gives:

2L = 7

Dividing by 2 gives:

L = 3.5

So the length of the kennel is 3.5 feet and the width is 16 - 2(3.5) = 9 feet.

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Answer:

0.9

Step-by-step explanation:

because if you multiply 0.9 by 5 it equals 4.5, why?

well 0.9 isn't a full number it's not even 1!

If you multiply

5 × 1 = 5

so if you multiply what's smaller than 1 by 5

5 × 0.9 = 4.5

Hope this helps!

Have a nice day!

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Answer:

Step-by-step explanation:

X = 4 , Y = 8

this is because

(5 x 4) - ( 3 x 8) = -4

20 - 24 = -4

___________________________________________________________

so the answer is 4,8

Answer:

( − 2 , 2 )

Step-by-step explanation:

Add 2 x to both sides of the equation.

y = 6 + 2 x 5 x + 3 y = − 4

Replace all occurrences of y with 6 + 2 x in each equation.

Replace all occurrences of y in 5 x + 3 y = − 4 with 6 + 2 x . 5 x + 3 ( 6 + 2 x ) = − 4 y = 6 + 2 x

Simplify the left side.

11 x + 18 = − 4 y = 6 + 2 x

Solve for x in the first equation.

x = − 2 y = 6 + 2 x

Replace all occurrences of x with − 2 in each equation.

y = 2 x = − 2

The solution to the system is the complete set of ordered pairs that are valid solutions. ( − 2 , 2 ) The result can be shown in multiple forms.

Point Form: ( − 2 , 2 )

Equation Form: x = − 2 , y = 2

Answer:

Step-by-step explanation:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y = 6x - 7   ⇒   m₁=6

6×m₂ = -1        ⇒    m₂ = -¹/₆

The line y=-¹/₆ x+b passes through point (8, 3) so the equation:

3 = -¹/₆ ×8 + b must be true

3 = -⁴/₃ + b

b = 4¹/₃

Therefore equation in  slope-intercept form:

                                                     y = -¹/₆ x + 4¹/₃

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = 6x - 7   ⇒   m₁=6   ⇒   m₂=6

The line y=6x+b passes through point (8, 3) so the equation:

3 = 6×8 + b must be true

3 = 48 + b

b = -45

Therefore equation in  slope-intercept form:

                                                     y = 6x - 45

Answer:

\(d=860.23\ m\)

\(\theta=35.54^\circ\)

Step-by-step explanation:

Rectangles

The sides of the rectangular fields are 500 meters and 700 meters. The diagonal of the rectangle can be calculated as the hypotenuse of the right triangle formed by the two sides, thus:

\(d=\sqrt{x^2+y^2}\)

Where x and y are the lengths of the sides. For the rectangular field, we have:

\(d=\sqrt{500^2+700^2}=\sqrt{250000+490000}=\sqrt{740000}=860.23\ m\)

The angle between the diagonal and the longest side can be calculated using trigonometry. Please refer to the image attached.

\(\displaystyle \cos\theta=\frac{x}{d}=\frac{700}{869.23}=0.8137\)

\(\boxed{\theta=35.54^\circ}\)

Answer: 120

Step-by-step explanation:

angle c is 120 degrees and angle a is congruent to angle c which mean angle a is 120. hope this helps.

Answer: \(x=\frac{5 \pm \sqrt{53}}{2}\)

Step-by-step explanation:

\(x^2 - 5x-7=0\\\\x=\frac{-(-5) \pm \sqrt{(-5)^2 - 4(1)(-7)}}{2(1)}\\\\x=\frac{5 \pm \sqrt{53}}{2}\)

The probability of finding 0 contaminated pieces in  225 g of chocolate is 5.57 X 10⁻⁷.

Here the number of contaminated fragments follows a Poisson process. Hence, let the distribution for the same be X.

Hence we get X ~ Poi(λt)

where λ is the mean no. of contaminated pieces and t is the no. of bars consumed.

For P(X = x) we get [(λt)ˣ  e^(-λt)]/x!

Here λ = 14.4 and t = 1 Hence we will get

P(X = x) = [(14.4)ˣ e⁻¹⁴°⁴]/x!

Here we need to find the probability of the no. of contaminated pieces = 0

Therefore

P(X = 0) = [(14.4)⁰ e⁻¹⁴°⁴]/0!

Hence the probability of finding 0 contaminated pieces in a bar of chocolate is

P(X = 0) =  e⁻¹⁴°⁴

= 5.57 X 10⁻⁷

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The number of coloured papers as per the given problem is 18.

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

Given that,

The ratio of coloured papers to white papers is 3/8.

And, the number of white papers is 48.

Suppose, the number of coloured papers be x.

Then, as per the question the following equation can be obtained,

3/8 = x/48

=> x = 3/8 × 48

=> x = 18

Hence, the number of coloured papers is 18.

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The document do you need to have on hand when preparing to file your tax return is W-2

A tax return is a form or forms filed with a tax authority that reports income, expenses, and other pertinent tax information.

To file your return, you'll need the following on hand: Your W-2: This form will come from your company and list not only your salary for the year, but the amount of taxes withheld along the way. You're required to file your W-2 along with your taxes, so if you're a salaried employee, this form is non-negotiable.

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The measurements in the given figure are as follows: Angle Z = 82° Angle W = 88° Angle YZWX = 92° Angle YZW = 88°

Given that the figure is a cyclic quadrilateral, we know that the opposite angles in the quadrilateral are supplementary (their sum is 180 degrees). We can use this property to find the missing measurements in the figure.

Given information:

Angle x = 98°

WZ = YZ

Angle Y = 92°

Step 1: Find angle Z.

Since angles x and Z are opposite angles in the cyclic quadrilateral, their sum is 180 degrees:

Angle Z = 180° - Angle x

Angle Z = 180° - 98°

Angle Z = 82°

Step 2: Find angle W.

Since angles Y and W are opposite angles in the cyclic quadrilateral, their sum is 180 degrees:

Angle W = 180° - Angle Y

Angle W = 180° - 92°

Angle W = 88°

Step 3: Find angle YZWX.

Since angles W and Z are opposite angles in the cyclic quadrilateral, their sum is 180 degrees:

Angle YZWX = 180° - Angle W

Angle YZWX = 180° - 88°

Angle YZWX = 92°

Step 4: Find angle YZW.

Since angles YZW and YZWX are adjacent angles in the cyclic quadrilateral, their sum is 180 degrees:

Angle YZW = 180° - Angle YZWX

Angle YZW = 180° - 92°

Angle YZW = 88°

In summary, the measurements in the given figure are as follows:

Angle Z = 82°

Angle W = 88°

Angle YZWX = 92°

Angle YZW = 88°

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Note the figure is

Answer:

D.

Step-by-step explanation:

By calculation (I used a calculator for this one):

Therefore, the answer is D.

Answer: y=7x^2−42x+69

Step-by-step explanation:

The number 480 is 15 percent of 72.It illustrates how the expressions printed on the left and right sides are equal in their relationship.

Equations are statements in mathematics that have the equals (=) sign on either side, and two algebraic expressions in the middle.

A list of the elements that make up an equation includes coefficients, variables, operators, constants, terms, and the equal to sign. Writing an equation always requires the "=" sign and terms on both sides.

calculation

Letting A = 480 be the value

Let y be the number's proportion, or vice versa.

It is equal to 72 percent.

The resulting equation is

x% of 480 equals 72.

Once the expression is simplified, we obtain

72 = y % x 480

72 = ( y/100 ) x 480

On each side, divide by 480 to get

y/100 = 0.15

100 times on each side, multiply, and we get

y = 15

Consequently, y = 15 for the value.

72 therefore represents 15 percent of 480.

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Rewrite the length of the movie as an improper fraction.

2 1/3 = 7/3

Now multiply the length of the movie by 3/4

7/3 x 3/4 = (7 x3) / (3 x 4) = 21/12 = 1 3/4 hours

Alice paid $25 for her pair of jeans, and Jeff paid $4 for the steaks.

Let's calculate the final amount paid by Alice and Jeff for their purchases.

Alice:

Jeff:

So, Alice paid $25 for her pair of jeans, and Jeff paid $4 for the steaks.

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Replacing three repairers with a superworker would be cost-effective for the laundromat as the expected repair time would increase and lead to more downtime for the machines.

To determine if the laundromat should replace the three repairers with the superworker, we need to compare the expected repair time under each scenario.

With three repairers, the expected time to repair a machine is the sum of the expected time until a machine breaks down and the expected time for a repairer to fix it

E(time with three repairers) = 5 + 2.5/3 = 6.167 days.

With the superworker, the expected time to repair a machine is

E(time with superworker) = 5/6 = 0.833 days.

Therefore, on average, it takes much less time to repair a machine with the superworker than with three repairers. Since the salary of the superworker is equal to that of three repairers, the laundromat should replace the three repairers with the superworker. It is also more cost-effective.

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To answer this question we first draw the triangle to help us:

As a note on the problem: This is not necessarily the triangle we have, we drew just to helps us solve it.

Now, to find the angle J we can use the law of cosines:

Plugging the values we have and solving for J we have:

Therefore the angle J is 60°.

By the quotient and product rules,

\(\left(\dfrac fg\right)'(0) = \dfrac{g(0) f'(0) - f(0) g'(0)}{g(0)^2} = 1\)

\((f\times g)'(0) = f(0) g'(0) + f'(0) g(0) = 21\)

Given that \(f'(0)=5\) and \(g'(0)=3\), we have the system of equations

\(\dfrac{5g(0) - 3f(0)}{g(0)^2} = 1 \implies 5g(0) - 3f(0) = g(0)^2\)

\(3f(0) + 5g(0) = 21\)

Eliminating \(f(0)\) gives

\(\bigg(5g(0) - 3f(0)\bigg) + \bigg(3f(0) + 5g(0)\bigg) = g(0)^2 + 21\)

\(10g(0) = g(0)^2 + 21\)

\(g(0)^2 - 10g(0) + 21 = 0\)

\(\bigg(g(0) - 7\bigg) \bigg(g(0) - 3\bigg) = 0\)

\(\implies \boxed{g(0) = 7 \text{ or } g(0) = 3}\)

Solve for \(f(0)\).

\(3f(0) + 5g(0) = 21\)

\(3f(0) + 35 = 21 \text{ or } 3f(0) + 15 = 21\)

\(3f(0) = -14 \text{ or } 3f(0) = 6\)

\(\implies \boxed{f(0) = -\dfrac{14}3 \text{ or } 3f(0) = 2}\)

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

Explanation:

Let's go through the answer choices

The measure of the exterior angle to ∠G is 138.9°.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

Given, In triangle EFG, m∠E = 95.2° and m∠F = 43.7°.

We know the sum of all the interior angles in a triangle is 180°.

We also know that the measure of an exterior angle in a triangle is the sum of the two opposite interior angles.

∴ The measure of the exterior angle to m∠G is = m∠E + m∠F.

= 95.2° + 43.7°.

= 138.9°.

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The equation of the line is given as y = mx + b in slope-intercept form, where m is the slope and b is the y-intercept.

Therefore;

Having determined the y-intercept as 4 for the coordinates (-4, 1), and having in mind that lines that are parallel have the same slope, then;

The equation of the parallel line that passes through the point (-4, 1) is derived as y = -5/4x + 4