Easy question for easy points

Answer:

Angle ABD is 22°

Step-by-step explanation:

Angles in a Triangle

The sum of the internal angles in a triangle is 180°.

Consider the triangle BCD.

The angle CBD is 53°.

The angle BCD is 49°

The missing angle of the triangle BDC is the quantity needed to complete 180°, that is:

angle BDC=180°-53°-49°=78°

Now consider the triangle ABD

The angle ADB is supplementary of BDC, thus:

angle ADB = 180° - 78° = 102°

Finally, the angle ABD is the quantity needed to complete 180°:

angle ABD = 180° - 102° - 56° = 22°

Angle ABD is 22°

Brand B contains 3% saline solution by volume. Then, C is the right answer.

Percentage of saline solution in brand B, let x be.

We know that the overall volume of saline solution in the combination is 18% of 6 gallons plus x% of (18 - 6) gallons since Danielle blended brands A and B to make a total of 18 gallons of 8% saline solution.

Then the equation is given as,

0.18(6) + 0.01x(18 - 6) = 0.08(18)

Simplifying and solving for x, we get:

1.08 + 0.12x = 1.44

0.12x = 0.36

x = 3

Therefore, the percentage of saline solution in brand B is 3%.

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the answer is 24cm^2.

hope it helped..

Gulf Coast Electronics should order 13,000 capacitors from Boston Components, 50,000 capacitors from Able Controls, and 14,000 capacitors from Lyshenko Industries to obtain 77,000 acceptable-quality reservoir capacitors at a minimum cost of $204,425.

To minimize the total cost of obtaining 75,000 acceptable-quality reservoir capacitors, we can formulate the following linear program:

Objective function:

Minimize: 2.35B + 2.6A + 2.85L

Subject to:

B + A + L = 77000 (total number of capacitors required)

B ≥ 0.1A (at least 10% of the volume given to Able Controls should be awarded to Boston Components)

L ≥ 29500 (at least 29,500 capacitors should be ordered from Lyshenko)

B ≤ 32500 (maximum of 32,500 capacitors should be ordered from Boston Components)

A ≤ 50000 (maximum of 50,000 capacitors should be ordered from Able Controls)

L ≤ 48500 (maximum of 48,500 capacitors should be ordered from Lyshenko)

0 ≤ B, A, L (non-negativity constraints)

Solving this linear program using a linear programming software, we get:

B = 13000

A = 50000

L = 14000

Correct Question :

Gulf Coast Electronics is ready to award contracts to suppliers for providing reservoir capacitors for use in its electronic devices. For the past several years, Gulf Coast Electronics has relied on two suppliers for its reservoir capacitors: Able Controls and Lyshenko Industries. A new firm, Boston Components, has inquired into the possibility of providing a portion of the reservoir capacitors needed by Gulf Coast. The quality of products provided by Lyshenko Industries has been extremely high; in fact, only 0.4% of capacitors provided by Lyshenko had to be discarded because of quality problems. Able Controls has also had a high quality level historically, producing an average of only 1% unacceptable capacitors. Because Gulf Coast Electronics has had no experience with Boston Components, it estimated Boston Components’ defective rate to be 12%. Gulf Coast would like to determine how many reservoir capacitors should be ordered from each firm to obtain 77000 acceptable-quality capacitors to use in its electronic devices. To ensure that Boston Components will receive some of the contract, management specified that the volume of reservoir capacitors awarded to Boston Components must be at least 10% of the volume given to Able Controls. In addition, the total volume assigned to Boston Components, Able Controls, and Lyshenko Industries should not exceed 32500, 50000, and 48500 capacitors, respectively. Because of Gulf Coast’s long-term relationship with Lyshenko Industries, management also specified that at least 29500 reports should be ordered from Lyshenko. The cost per capacitor is $2.35 for Boston Components, $2.6 for Able Controls, and $2.85 for Lyshenko Industries.

Formulate and solve a linear program for determining how many reservoir capacitors should be ordered from each supplier to minimize the total cost of obtaining 75,000 acceptable-quality reservoir capacitors. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. Enter "0" if your answer is zero. If the constant is "1" it must be entered in the box.

Let B = number of capacitors ordered from Boston Components

Let A = number of capacitors ordered from Able Controls

Let L = number of capacitors ordered from Lyshenko Industries

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Applying exponent rules, the factored expression is given as follows:

125^6 - 27^15 = 5^18 - 3^45.

The expression is factored according to the like terms of the expression, which are placed into evidence.

For this problem, the expression is:

125^6 - 27^15

First, we have to factor 125 and 27, finding it's prime factors, hence:

Thus the expression can be written as:

125^6 - 27^15 = (5³)^6 - (3³)^15

There will be no like terms on the expression, as the bases are different,  of 3 and 5, hence we just apply the exponent rules, as follows:

a^b^c = a^(b x c), which is the power of power rule.

Hence:

Hence the simplified expression is given as follows:

(5³)^6 - (3³)^15 = 5^18 - 3^45.

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The distance traveled by the center of the wheel (from time t = 0 seconds to time t = 3 seconds) starting from rest that has an angular acceleration of 6 rad/s² is 13.5 meters

Angular motion can be described the motion of a body around a circular path or a curved path around a fixed axis.

Radius of the wheel, r = 0.5 meters

The wheel rolls starting from rest without sliding on the horizontal surface

Constant angular acceleration of the wheel = 6 rad/s²

The angle rotation, θ, of the wheel can be found by the formula;

θ = θ₀ + ω₀·t + (1/2)·α·t²

Where;

θ = Rotation of the wheel

θ₀ = Initial angular rotation of the wheel = 0 (The wheel is initially at rest)

ω₀ = The angular velocity of the wheel at the start = 0 (The wheel starts from rest)

α = The angular acceleration of the wheel = 6 rad/s²

Therefore;

θ = 0 + 0 + 0.5 × 6 × 3² = 27

The angle turned by the wheel = 27 radians

The linear displacement of the, d = r·θ

Therefore;

The distance traveled by the wheel, r·θ = 0.5 m × 27 rad = 13.5 m

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Complete question; To find the the distance traveled by the center of the wheel from t = 0 seconds to t = 3 seconds

9x^2+9x+2

The trinomial is in the form:

ax^2+bx+c

Where:

a=9

b= 9

c=2

First, multiply a by c:

9 x 2 = 18

then, find product that equal 18

2 x 9 = 18

1 x 18 = 18

6 x3 =18

Find the the one that added equal to b-

b= 9

6+3 = 9

Rewrite the trinomial with new numbers added in the middle term place:

9x = 6x+3x

9x^2+6x+3x+2

Isolate similar terms and factor by Great Common factor:

(9x^2+3x) +(6x+2)

3x (3x+1)+2(3x+1)

Factor out 3x+1

(3x+2) (3x+1)

Answer:

inverse of the function x² - 3x + 7 is [5 ± √(12x - 59)] /6.

Step-by-step explanation:

Let f(x) = y → f-¹y = x → g(y) = x

We need a function g which gives x for g(y).

=> f(x) = y

=> 3x² - 5x + 7 = y

=> x² - x(5/3) + (7/3) = y/3

=> x² - 2x(5/6) + (7/3) = y/3

=> x² - 2x(5/6) + (5/6)² + (7/3) = y/3 + (5/6)²

=> (x - 5/6)² + 7/3 = (y/3 + 25/36)

=> (x - 5/6)² = y/3 + 25/36 - 7/3

=> (x - 5/6)² = (12y + 25 - 84)/36

=> x - 5/6 = ± √(12y - 59) /6

=> x = [ 5 ± √(12y - 59) ]/6

=> x = g(y)

Hence, inverse of the function x² - 3x + 7 is [5 ± √(12x - 59)] /6.

Answer:

d) 1/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total cost function, C = 15+9x-6x²+x

By differentiation,

dc/dx= 9-12x²+1

but

dc/dx= 0

9-12x²+1 = 0

-12x = -10

x=10/12

x=5/6

Answer:

The correct answer to the following question will be "5040".

Step-by-step explanation:

Given:

The number of directors,

n = 10

and they select on 4 peoples, then

Number of ways will be:

⇒  \(10_{P}_{4}\)

⇒  \(\frac{10!}{10-4!}\)

⇒  \(\frac{10!}{6!}\)

⇒  \(\frac{10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1!}{6\times 5\times 4\times 3\times 2\times 1!}\)

⇒  \(5040\)

According to the given graph the correct option that justify it to follow horizontal asymptote concept is option A, C and D.

Define graph property:

In mathematics, a graph is a set of points, called vertices or nodes, that are connected by lines or curves, called edges or arcs. Graphs are used to represent mathematical relationships between objects, data, or concepts. They are a fundamental tool in many fields, including computer science, economics, engineering, social sciences, and more.

Graphs can be represented in a variety of ways, such as a drawing on a piece of paper or a computer screen, or as a mathematical abstraction. Graphs can be directed or undirected, weighted or unweighted, simple or multigraphs, and can have various structures, such as trees, cycles, or complete graphs. They are often used to model networks, such as transportation systems, social networks, or the internet.

What about asymptote?

In mathematics, an asymptote is a straight or curved line that a curve approaches but never touches. In other words, as the curve moves along the x and/or y axis, it gets closer and closer to the asymptote, but never intersects it. Asymptotes are often found in functions that have horizontal or vertical limits that approach infinity or negative infinity.

There are several types of asymptotes, including horizontal, vertical, and slant asymptotes. A horizontal asymptote is a line that the curve approaches as x tends to infinity or negative infinity. A vertical asymptote is a vertical line that the curve approaches as x approaches a certain value, but does not cross. A slant asymptote is a diagonal line that the curve approaches as x tends to infinity or negative infinity, and the degree of the polynomial in the numerator is one more than the degree of the polynomial in the denominator.

According to the given information:

According to the graph f(x) and g(x) both have a horizontal asymptote so, both graphs are exponential functions and they do not through(0,1)

so, both graphs have been shifted and flipped

Hence, option A, B and D are correct.

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Answer:

see attached

Step-by-step explanation:

f(x) = 50/20 = 5/2

therefore y = 2.5

Answer:

Mean: 36.5

Standard Deviation: 1.44

Step-by-step explanation:

I got it right on Khan.

Answer:

the percent error in the student's measurement is 4.65%.

Step-by-step explanation:

The percent error can be calculated using the formula:

| (measured value - actual value) / actual value | * 100%

In this case, the measured value is 2.7 grams and the actual value is 2.58 grams. Substituting these values into the formula, we get:

| (2.7 - 2.58) / 2.58 | * 100% = 4.65%

Rounding this to the nearest hundredth of a percent, we get a percent error of 4.65%.

Therefore, the percent error in the student's measurement is 4.65%.

Answer:

64 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

15 + t

t= tax

16-5.50 = 10.5

10.5 / 1.25 is around 8.4

It will take Carrie a minimum of 8 friday’s

The areas of each figure are 5.6 sq m, 76.8 sq km, 280.8 sq units, 173.88 sq units and 332 sq units

The area of a shape is the amount of space on it

Using the above as a guide, we have the following:

Figure 7:

The area is calculated as

Area = 1/2 * (sum of parallel sides) * height

So, we have

Area = 1/2 * (3.9 + 1.7) * 2

Area = 5.6 sq m

Figure 8:

The area is calculated as

Area = Base * height

So, we have

Area = 9.6 * 8

Area = 76.8 sq km

Figure 9:

The area is calculated as

Area = 6 * 1/2 * Base * height

So, we have

Area = 6 * 1/2 * 9 * 10.4

Area = 280.8 sq units

Figure 10:

The area is calculated as

Area = 7 * 1/2 * Base * height

So, we have

Area = 7 * 1/2 * 6.9 * 7.2

Area = 173.88 sq units

Figure 11:

The area is calculated as

Area = 8 * 1/2 * Base * height

So, we have

Area = 8 * 1/2 * 10 * 8.3

Area = 332 sq units

Figure 12, 13 and 14:

The areas of the figures cannot be calculated with the available details and parameters

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Step-by-step explanation:

12a+24a=180

36a = 180

a =5 °

angle of yzv = 24a = 120°

The trial balance for Avenson Insurance Com p any dated November 30 is shown below.

Businesses utilise a trial balance, which is a list of credit and debit entries, to internally evaluate their double-entry accounting systems. In order to determine whether any entries have been made in the incorrect account and to make sure that the total of all debits and credits matches one another.

A trial balance is created as of the fiscal year's end. It is employed to validate the mathematical precision of a duplicate entry.

Only take into account the balances as of November 30, the conclusion of the fiscal year.

                     Avenson Insurance Company

Trial Balance as at 30 November

                                                        Debit          Credit

                                                           $                  $

Cash                                                 1,680

Land                                              84,000

Building                                         70,320

Office Equipment                          21 576

Vehicles                                         11,280

Notes Payable                                                      9,600

Accounts Payable                                                 3,840

Capital Stock                                                       144,000

Total                                            $188,856         $157,440

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Answer:

x=3, multiplicity of 2

x=-5, multiplicity of 1

Step-by-step explanation:

f(x) = (x - 3)(x - 3)(x + 5)

Rewriting

f(x) = (x - 3)^2(x + 5)

Setting equal to zero

0 =  (x - 3)^2(x + 5)

Using the zero product property

(x-3)^2  = 0   x+5 = 0

x-3 = 0         x= -5

x=3             x-5

Since x-3 was squared, the multiplicity is 2

Answer:

x=3, multiplicity of 2

x=-5, multiplicity of 1

Step-by-step explanation

Answer:

Your answer is B.

Step-by-step explanation:

Answer:

Step-by-step explanation:

x + ab = p

x = p - ab

The graph of the arithmetic sequence is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Sequence: 4, 12, 20, 28....

The above sequence is an arithmetic sequence with the following parameters

First term, a = 4

Common difference, d = 8

So, the x-th term is

f(x) = a + (x - 1) * d

Substitute the known values in the above equation, so, we have the following representation

f(x) = 4 + (x - 1) * 8

This gives

f(x) = 8x - 4

So, the equation to plot is f(x) = 8x - 4

See attachment for the graph

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5 years longer then Bill, 2x5=10.

10+2=12.

12-5=7

Hoang has be there for 12 years. Bill has for 7 years.

Answer:

Can you redo it's a little too much

Answer:

Bro thats a lot of questions

Step-by-step explanation: