simplify expression.
help me please

Step-by-step explanation:

Part a

P(x) = 0

150x - x^2 = 0

x(150-x)

x=0,150

Laura should sell 150 pies in order to "break-even" on her sales.

Part b

Because the maximum profit occurs at the vertex of the function,

x = -b/2a = -150/-2 = 75

P(75) = 150 * 75 - 75^2 = 5625

Laura maximizes her profit to $5625 when she sells exactly 75 pies.

Answer:

your answer will be 416 square millimeters

Step-by-step explanation:

\(2x(\frac{1}{2}12*8)+(12+10+10)10\\\\=96+320\\\\=416\)

hope it helps..

have a great day!! :)

Answer:

look at the picture i sent

Answer:

0

Step-by-step explanation:

use mathaway :D

The quantity of candy that Eric ate would be = 14/15

The quantity of Candy Kim had = 2⅓ pounds.

The quantity of Kims candy that Eric ate = 2/5

That is 2/5 of 2⅓.

The actual quantity of candy that Eric ate = 2/5× 7/3 = 14/15

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The number of turns the wheel makes is 1.93 ≈ 2.

What is Turns?

This is referred to as a cycle. It is a unit of plane angle measurement that is equivalent to 2π radians, 360 degrees, or 400 gradians.

formular for calculating Turns:

Turns =         Lenght

              Circumference

Circumference of a circle, C= πD

Where,

Diameter=D

            π =22/7

Calculating Circumference;

C= 22  * 66

            7

    =207.4

From the question:

D= 66cm

L  =400m

Calculating Turns:

Turns =  Lenght

              Circumference

          =   400m

               207.4

      Turns =1.93

Turns =1.93≈ 2

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The features related to vectors are listed below:

Case A: u' = (- 4√41 / 41, - 5√41/ 41)

Case B: Tip coordinantes of vector v: (x, y) = (10, 10)

Case C: r = 11.402

In this question we must determine three features related to vectors: (a) unit vector, (b) the definition of a vector based on the coordinates of its base and its tip, (c) The magnitude of a resulting vector.

Case A - Unit vector

Unit vectors are vectors with magnitude 1, for the case of vector u we have the following definition:

u' = u / ||u||

Where:

Please notice that the magnitude of the vector is determined by Pythagorean theorem:

r = √[(Δx)² + (Δy)²]

Where:

Thus, the unit vector of u is:

u' = (- 4, - 5) / √[(- 4)² + (- 5)²]

u' = (- 4, - 5) / √41

u' = (- 4 / √41, - 5 / √41)

u' = (- 4√41 / 41, - 5√41/ 41)

Case B - Definition of a vector

This can be found easily by vector subtraction:

v = Tip coordinates - Base coordinates

(3, 4) = (x, y) - (7, 6)

(x, y) = (3, 4) + (7, 6)

(x, y) = (10, 10)

Case C - Magnitude of a vector

The magnitude is found by means of Pyhtagorean theorem:

r = √[(- 4 - 3)² + (- 5 - 4)²]

r = √[(- 7)² + (- 9)²]

r = 11.402

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Complementary angles add up to 90°, write an equation using this knowledge and the information provided in the question:

66°+x° = 90°

Subtract 66° from both sides:

x° = 24°

By the substitution property of equality, measure of ∠ABC ≅ measure of ∠GHI (m∠ABC=m∠GHI)

The substitution property of equality states that if x = y, then x can be substituted in for y in any equation, and y can be substituted for x in any equation

From the given information, we have that

∠ABC ≅ ∠DEF

and

∠GHI ≅ ∠DEF

By the substitution property, ∠ABC can be substituted for ∠DEF in the second equation

That is,

∠GHI ≅ ∠ABC

∴  ∠ABC ≅ ∠GHI

Hence, measure of ∠ABC ≅ measure of ∠GHI (m∠ABC=m∠GHI)

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Answer:

First one : <ABC ≅ <DEF //// Given

Second one : <GHI ≅ <DEF ///// Given

Third one : <DEF ≅ <ABC //// Symmetric property

Fourth one : <GHI ≅ <ABC //// Transitive property

Fifth one : m<GHI = m<ABC /// Definition of ≅ angles

Sixth one : m<ABC = m<GHI /// Symmetric property

Step-by-step explanation:

Answer:

±3.87i or ±(sqrt)(15)i

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

C. 360-85=12h

Step-by-step explanation:

360=85+12h

360-85=12h

Answer: I don’t understand

Step-by-step explanation:

Answer:

59.5

Step-by-step explanation:

He is asking for angle A

cosA = adjacent/hypotenuse

= 33/65

we'll do shift cos(33/65) = 59.48 to bring A

1. Triangle inequality theorem.

3. The missing lengths and angles are:

<B = 27.07, <C = 98 and c = 32.64.

1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.

3. We have,

a = 27, b = 15, and A = 55°,

Using the Law of Sines,

sin A/ a = sin B/ b

sin 55 /27 = sin B / 15

0.81915204428 / 27 = sin B /15

0.4550844690444 = sin B

<B = 27.07

Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98

Now, Using the Law of Sines

sin A/ a = sin C/ C

0.81915204428 / 27 = sin 98 / c

0.030338964602963 = 0.99026807 /c

c = 32.64

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Answer:

The Answer is 15 to 20 years old

Step-by-step explanation:

Answer:

  \(\dfrac{1}{3}=0.\overline{3}\)

Step-by-step explanation:

Since a single digit is repeated in each case, and since the repeat starts at the decimal point, the fraction corresponding to the repeated digit is that digit divided by 9.

  \(0.\overline{5}+0.\overline{1}-0.\overline{3}=\dfrac{5}{9}+\dfrac{1}{9}-\dfrac{3}{9}=\dfrac{5+1-3}{9}=\dfrac{3}{9}\\\\=\boxed{\dfrac{1}{3}}\)

_____

Comment on equivalents to repeating decimals

The number of 9s in the denominator equals the number of repeated digits.

  0.2727(repeated) = 27/99 = 3/11 . . . . . 2 repeated digits

Answer:

11.5

Step-by-step explanation:

basically just take 25% off of 15!! hope this helps!!

Answer: (a) When he turns 68 , the account will have = $1,179,415.39

(b) $ 288,000

Step-by-step explanation:

Formula: Future value of annuity =\(P[\dfrac{(1+r)^n-1}{r}]\), where P+ periodic payment, r = rate of interest per period, n= number of periods.

As per given, we have

P= $1800

rate of interest = 6% = 0.06

(a) n= 68-28 = 40

Rate per period : r= \(\dfrac{0.06}{4}=0.015\)  

Number of periods: n = 4x 40 =160

Now, Future value of amount when Mr. Pink turns 28 years = \(1800(\dfrac{(1+0.015)^{160}-1}{0.015})\)

\(=1800(\dfrac{10.8284615777-1}{0.015})\\\\=1800\times\dfrac{9.8284615777}{0.015}\\\\\approx\$1179415.39\)

Hence, when he turns 68 , the account will have = $1,179,415.39

(b) Total contribution = P × n

=1800 × 160

=$ 288,000

Hence, Total contribution =$ 288,000

The angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

Given sinz = -4/5 for pi < z < (3pi)/2, we need to find the value of cosz. We can use the trigonometric identity of Pythagorean theorem to find the value of cosz.

According to Pythagorean theorem, sin2θ + cos2θ = 1, where θ is the angle in the right-angled triangle and sin, cos are the trigonometric ratios.

The negative sign for the given sinz indicates that the angle z is in the third quadrant. So, we can take the help of the unit circle to find the value of cosz as shown below:

Here, we have used the Pythagorean identity of sin2z + cos2z = 1 on the unit circle to find the value of cosz. Since the value of sinz is already given, we can find the value of sin2z as: sin2z = sinz x sinz = (-4/5) x (-4/5) = 16/25

Then, we can substitute the value of sin2z in the Pythagorean identity as: cos2z = 1 - sin2z = 1 - (16/25) = 9/25We need to find the value of cosz.

So, we can take the square root of cos2z as: cosz = ±(√(9/25)) = ±(3/5)The sign of cosz can be determined by considering the quadrant of the angle z.

Since the angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

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Note that the longest segment in the shapes shown is DC (Option B).

The longest side of a triangle is opposite to greatest angle.

To determine the longest side in a triangle, compare the lengths of all three sides. The side with the greatest length is the longest side.

You can use a ruler or a measuring tool to measure the lengths of the sides or compare the numerical values if they are provided.

In this case,

∠A = ∠DBA = 60°

So ∠ ABD is an equilateral triangle.

So, AB = BD = AD

Since

AB = BC

Then

∠BDC = ∠C ∠ 38°

so ∠DBC > 90°

This means that DC is the longest side.

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Answer:

$4.75

Step-by-step explanation:

The two items that Kara bought must be subtracted from the amount of money she had in the beginning; $23.00 − $3.27 − $14.98 = $4.75.

Answer:

after thinking about this thoroughly I've got the answer.

its $19.73

Step-by-step explanation:

23-3.27-14.98=4.75

So the answer is $4.75

Answer:

Yes, because each student's  indetification number paired with their grade level

Step-by-step explanation:

The inverse of the functions are solved

Given data ,

Let the inverse of the function be represented as f⁻¹ ( x )

a)

f(x) = 5x - 1

y = 5x - 1

x = 5y - 1

x + 1 = 5y

y = (x + 1)/5

Inverse: f⁻¹(x) = (x + 1)/5

b)

f(x) = (1/5)x

y = (1/5)x

x = (1/5)y

y = 5x

Inverse: f⁻¹(x) = 5x

c)

f(x) = x - 5

y = x - 5

x = y - 5

y = x + 5

Inverse: f⁻¹(x) = x + 5

d)

f(x) = 7x + 1

y = 7x + 1

x = 7y + 1

x - 1 = 7y

y = (x - 1)/7

Inverse: f⁻¹(x) = (x - 1)/7

Hence , the inverse of the functions are solved

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Answer:

2

Step-by-step explanation:

Answer:

125 boxes

Step-by-step explanation:

6,000/48 = 125

Answer:

I think

The choose B. center.

I hope I helped you^_^

According to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.

What is Chebyshev's Theorem?

The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Several other probability distributions can be applied to this theorem. Chebyshev's Inequality is another name for Chebyshev's Theorem. For a large class of probability distributions, Chebyshev's inequality ensures that no more than a specific percentage of values can deviate significantly from the mean.

According to Chebyshev's Theorem, at least 1 - 1/k² of the revenues lie within k standard deviations of the mean.

So when k = 3.3

1 -  1/k² = 1 - 1/3.3² = 1 - 0.0918 = 0.9082 = 90.82% ≈ 91%

Therefore according to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.

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The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.

The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.

From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).

The x-values of these points are 0, 1, and 4.

Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.

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