A triangle has sides with lengths of 18 inches, 24 inches, and 30 inches. Is it a right triangle?

Solution:

Simplify the expression and solve.

The solution to this algebraic problem is -3b³ + 10 + 3ab - a​.

Assuming the population is in Hardy-Weinberg equilibrium, the individuals have green hair are equal to 91% .

From the data present in problem,

Hardy and Weinberg proved mathematically that in a population all dominant and recessive alleles include all alleles for a given gene. Mathematically, denoted as p + q = 1.0

Where, p = frequency of dominant alleles (C)

q = frequency of recessive alleles (c) = 0.3

Number of population individua's = 100

Hardy and Weinberg described all the possible genotypes for a gene with two alleles. The binomial expansion representing this is,

p² + 2pq + q² = 1.0

Where, p² = proportion of homozygous dominant individuals (Green)

• q² = proportion of homozygous recessive individuals (White)

2pq = proportion of heterozygotes (Green)

Since, p+ q = 1.0

=>p = 1 - q = 1 - 0.3 = 0.7

=>p = 0.7

The genotypic frequencies are as follows:

CC (p²) = (0.7) = 0.49

Cc (2pq) = 2x(0.3)(0.7) = 0.42

cc (9²) = (0.3)² = 0.09

p² + 2pq + q² = (0.49) + (0.42)+(0.09)= 1.0

The expected number for each genotype are as follows: CC (p²) = (0.49×100) = 49

Cc (2pq) = (0.42×100)= 42

cc(q²) = (0.09×100) = 9

The number of individuals have green hair is as follows: (p²)+(2pq) = 49+42= 91

Thus, required individuals percentage is 91%.

To learn more about Hardy-Weinberg equilibrium, refer:

https://brainly.com/question/14669053

#SPJ4

The consumption next year for Ms. Anderson will be approximately $56,363.64 which is not in options, and the debt-equity ratio, based on a total debt ratio of 0.5, so the answer is option d.

To answer the first question, we need to calculate the consumption next year based on the given information. We can use the concept of present value to determine the amount.

The present value formula is:

Present Value = Future Value / (1 + Interest Rate)^n

Where:

Future Value is the amount to be received in the future

Interest Rate is the rate of return or interest rate per period

n is the number of periods

Given that Ms. Anderson has an income of $40,000 next year and the market interest rate is 10 percent, we can calculate the present value of $40,000:

Present Value = $40,000 / (1 + 0.10)^1

Present Value = $40,000 / 1.10

Present Value ≈ $36,363.64

Since Ms. Anderson consumes $80,000 this year and her present income next year is approximately $36,363.64, her consumption next year will be the sum of her present income and the remaining amount:

Consumption next year = Present income + Remaining amount

Consumption next year = $36,363.64 + ($80,000 - $60,000)

Consumption next year = $36,363.64 + $20,000

Consumption next year = $56,363.64

Therefore, the consumption next year will be approximately $56,363.64. None of the provided options match this amount, so it seems there might be an error in the answer choices.

Given that the total debt ratio is 0.5, it implies that the total debt is half of the total equity.

The debt-equity ratio is calculated by dividing the total debt by the total equity:

Debt-Equity Ratio = Total Debt / Total Equity

Substituting the given information, we have:

Debt-Equity Ratio = 0.5 * Total Equity / Total Equity

The term "Total Equity" cancels out, resulting in:

Debt-Equity Ratio = 0.5

Therefore, the correct answer is option d. 0.5.

Learn more about present value at:

brainly.com/question/30390056

#SPJ11

Answer:

(12,-6)

Step-by-step explanation:

After graphing (9, -2) you move down three units to the right along the x-axis you would get (12,-2) but because you have to go down 4 units, it would simply become (12, -6).

Answer:

Part A: Suzanne bakes 350 in 5 hours and cole bakes 400 in 8 hours. Part B: cole can bake more then suzanne but Suzanne has more time to bake more, so i think suzanne bakes at a faster rate then cole

Answer:

a. 4×d=24

Step-by-step explanation:

Since it is asking for the number of dogs and each dog has 4 legs, you multiply

And dogs is (d), so a

a) The probability of a very good poker player earning a profit (more than $0) after playing 40 hands in $100/$200 Texas Hold'em can be calculated using the normal distribution and the given mean ($1) and standard deviation ($31). b) The proportion of the time a very good poker player can expect to earn at least $500 after playing 100 hands in $100/$200 Texas Hold'em can be calculated using the normal distribution and the given mean ($1) and standard deviation ($31).

To compute these probabilities, we need to make some assumptions and use probability distribution calculations based on the given information.

a) To determine the probability of a profit after playing 40 hands, we can use the concept of the normal distribution. We need to calculate the z-score using the formula: z = (x - μ) / σ, where x is the desired profit, μ is the expected profit per hand, and σ is the standard deviation. In this case, x = $0, μ = $1, and σ = $31.

Once we have the z-score, we can use a standard normal distribution table or calculator to find the corresponding probability.

b) Similarly, to find the proportion of the time a player can expect to earn at least $500 after playing 100 hands, we need to calculate the z-score for x = $500, using the same formula as in part (a). Then, we can use the standard normal distribution table or calculator to find the corresponding proportion.

c) To determine the probability of earning a profit during a 14-hour session, we need to calculate the number of hands played, which is 20 hands per hour multiplied by 14 hours. Let's denote it as N. Then, we can calculate the mean profit for the 14-hour session by multiplying the expected profit per hand ($1) by N.

The standard deviation for the session can be calculated by multiplying the standard deviation per hand ($31) by the square root of N. Finally, we can use the normal distribution and the same z-score calculation as in part (a) to find the probability.

Please note that the above calculations assume that the profits from each hand are independent and follow a normal distribution. Real poker outcomes may deviate from these assumptions.

To know more about probability refer here:

https://brainly.com/question/31828911#

#SPJ11

Answer:

The correct answer is $6,373.02.

We can use the formula for present value of an annuity:

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

Where PV is the present value, PMT is the monthly payment, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

Plugging in the values, we get:

PV = 300 x ((1 - (1 + 0.12/12)^(-12*2)) / (0.12/12))

PV = $6,373.02

Therefore, the present value of Maria's investment is $6,373.02.

Answer:

\(\sqrt[3]{27}\)

Step-by-step explanation:

Let's split the cube root of 27 to make this easier:

\(\sqrt[3]{27}=\sqrt[3]{3\cdot9}=\sqrt[3]{3\cdot3\cdot3}\\\text{Now, let's put }3\cdot3\cdot3 \text{ in exponential form. We would have:}\\\sqrt[3]{3^3}\\\text{Now, the 3 and 3 and the square root symbol would cancel out, and we }\\\text{ would be left with 3. And since three is an integer, we know that} } \sqrt{27} \text{ is perfect }\)

Answer:

The drift angle is approximately 7.65° towards the East from the plane's heading

Step-by-step explanation:

The speed of the plane = 350 mph

The direction in which the plane flies N 40° E = 50° counterclockwise from the eastern direction

The speed of the wind = 40 mph

The direction of the wind = S 70° E = 20° clockwise from the eastern direction

The component velocities of the plane are;

\(R_{Plane}\) = (350 × cos 50)·i + (350 × sin 50)·j

\(R_{Wind}\) = (40 + cos 20)·i - (40 × sin 40)·j

The resultant speed of the plane = \(R_{Plane}\) + \(R_{Wind}\) = 265.915·i +242.404·j

The direction the plane is heading = tan⁻¹(242.404/265.915) ≈ 42.35°

Therefore, the drift angle = Actual Angle - Direction of the plane = 50 - 42.35 ≈ 7.65° towards the East

Answer: A. 5.89

Step-by-step explanation:

edge2020

Answer: Therefore, the measures of the interior angles are:

Angle A = 48°

Angle B = -92 + x

Angle C = 224 - x

Step-by-step explanation:   To find the measures of the interior angles, we'll use the fact that the sum of the interior angles of a triangle is always 180 degrees.

Let's denote the angles as follows:

Angle A = ZA = 48°

Angle B = ZB

Angle C = ZC

From the information given, we know that angle A is 48 degrees. We can find angle C by subtracting the given value (x-44) from 180 since it is the supplementary angle to angle C.

Angle C = 180 - (x - 44) = 224 - x

Now, we can use the fact that the sum of the interior angles of a triangle is 180 degrees to find angle B.

Angle A + Angle B + Angle C = 180

Substituting the known values:

48 + ZB + (224 - x) = 180

Simplifying the equation:

272 - x + ZB = 180

ZB = 180 - 272 + x

ZB = -92 + x

=>10³

5 × 10³ × 10³ = 5 × 10⁶

The 10³ or 1000 is multiplied by the expression 5x 10^3 is equivalent to the expression 5 x 10^6 option third is correct.

The distributive property is the property that expresses the distributive law of algebraic multiplication for example we can write a(c+b)  in the form of (ac+bc).

We have an expression:

= 5×10³

We have to make the above expression equivalent to the \(5\times 10^6\)

Let's suppose the number is x.

Now according to the question:

\(\rm (5\times10^3)\times x = 5\times 10^6\)

\(\rm x = \frac{5\times 10^6}{(5\times10^3)}\)    (divide by 5×10³ on both sides)

x = 10³           (after simplification)

x = 1000

Thus, the 10³ or 1000 is multiplied by the expression 5x 10^3 is equivalent to the expression 5 x 10^6 option third is correct.

Learn more about the distributive property here:

brainly.com/question/5637942

The cash ratio is 0.80, or 0.80:1, which means that the company has $0.80 in cash and cash equivalents for every $1 of current liabilities that it owes.

The cash ratio is a financial ratio that measures the ability of a company to pay off its current liabilities using only its cash and cash equivalents.

The formula for the cash ratio is:

Cash Ratio = (Cash and Cash Equivalents) / (Total Current Liabilities)

Using the information given in the question:

Cash and cash equivalents = $60,000

Total current liabilities = $75,000

Plugging these values into the formula:

Cash Ratio = $60,000 / $75,000 = 0.80

Therefore, the cash ratio is 0.80, or 0.80:1, which means that the company has $0.80 in cash and cash equivalents for every $1 of current liabilities that it owes.

Learn more about the cash ratio

brainly.com/question/31418952

#SPJ11

The division problem that would have an estimated quotient of 15 if the divisor and dividend were rounded to the nearest whole number is 90. 24 divided by 6. 3

From the given question, we are to find the required dividend and divisor such that the result of the quotient will give 15 when rounded up.

For the first option

Dividend = 90.24

Divisor = 6.3

Rounding up to the nearest whole number;

Dividend = 90

Divisor = 6

Taking the quotient of the numbers

Quotient  = 90/6

Quotient  = 15

Hence the division problem that would have an estimated quotient of 15 if the divisor and dividend were rounded to the nearest whole number is 90. 24 divided by 6. 3

Learn more about division here:https://brainly.com/question/22706319

The net annual percentage growth rate of the city population is 0.4%

To calculate the net annual percentage growth rate of a population, we can use the following formula:

Net Annual Percentage Growth Rate = ((Births + Immigrants) - (Deaths + Emigrants)) / Initial Population x 100%

Plugging in the given values, we get:

Net Annual Percentage Growth Rate =\(((100 + 10) - (40 + 30)) / 10,000 x 100%\)

Net Annual Percentage Growth Rate = \((40 / 10,000) x 100%\)

Net Annual Percentage Growth Rate =\(0.4%\)

The net annual percentage growth rate of the city population is 0.4%

for such more questions on growth rate

https://brainly.com/question/25630111

#SPJ11

Answer:

Step-by-step explanation:

The ordered pair is located on the boundary line of the graph of the inequality, and because the sign is "less than or equal to", the values on the boundary line are also included in the solution set.

Looking at this logically, we also see that it certainly possible for half the seats to be occupied by adults and half by children.

Answer:

\( x = 5 \)

Step-by-step explanation:

DS = 4x + 12

SE = 8x - 8

Since segment RS bisects segment DE, it implies that the two segments created, segments DS and SE, are congruent. Therefore:

\( 4x + 12 = 8x - 8 \)

Solve for x

\( 4x + 12 - 8x = 8x - 8 - 8x \) (Subtraction property of equality)

\( -4x + 12 = - 8 \)

\( -4x + 12 - 12 = - 8 - 12 \) (subtraction property of equality)

\( -4x = - 20 \)

\( \frac{-4x}{-4} = \frac{-20}{-4} \)

\( x = 5 \)

Answer:

The process capability index for this system is 0.9103

Step-by-step explanation:

Upper specification = 1.649 inches

Lowe Specification = 1.507 inches

Mean = 1.57 inches

Standard Deviation = 0.026 inches

Process Capability Index = PCI

PCI = (Upper specification - lower specification)/6(standard deviation)

So, we get,

PCI = (1.649 - 1.507)/((6)(0.026))

PCI = 0.142/0.156

PCI = 0.9102564

To four decimal places, we get,

PCI = 0.9103

We then applied the formula for factoring perfect square trinomials to obtain the fully factored form, which is 4(2x - 3)2.

To factor 16x2 - 48x + 36 completely, we can first factor out the greatest common factor of 4:

16x2 - 48x + 36 = 4(4x2 - 12x + 9)

Now,

we can see that the expression inside the parentheses is a perfect square trinomial, which can be factored as:

4x2 - 12x + 9 = (2x - 3)2

Therefore, putting the pieces together, we have:

16x2 - 48x + 36 = 4(4x2 - 12x + 9) = 4(2x - 3)2

Hence, the fully factored form of the given expression is 4(2x - 3)2, which is option D).

The reason why we can recognize 4x2 - 12x + 9 as a perfect square trinomial is because it has the form a2 - 2ab + b2, where a = 2x and b = 3. This form can always be factored as (a - b)2, which in this case gives (2x - 3)2. The factor of 4 in the final answer comes from the fact that we initially factored out a 4 from the given expression.

Learn more about Trinomial:

brainly.com/question/11379135

#SPJ11

Answer:

4

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

x - 6= 0 → x = 6

we put this value in x² + 5x -24

6² + 5(6) - 24 = 36 + 30 - 24 = 42

there is another way too. but it's longer. you can see it in picture.

Answer:

5

Step-by-step explanation:

If you divide 17.50 by 3.50 you'll get 5.

15*X/100=12

15x=1200

X=1200/15

x=80

See attachment for answer and math work.

Answer:

49,500-41x

Step-by-step explanation:

Answer:

I believe that you are missing the...

Hypotenuse and Adjacent

Hypotenuse: x ≈ 29.79 units

Adjacent: x ≈ 38.89 units

Step-by-step explanation:

So sorry if it's wrong

D. None of these, as neither option B nor option C can be obtained using the Law of Detachment.

The Law of Detachment states that if a conditional statement "if p, then q" is true and p is true, then q must also be true.

Analyzing the given options:

A. The conclusion "There is no school" can be obtained by applying the Law of Detachment to the given information, as it matches the format of the law: "If today is Saturday (p), then there is no school (q)." Since today is Saturday (p), the conclusion that "There is no school" (q) can be derived using the Law of Detachment.

B. The conclusion "He is able to buy a new set of headphones" is not directly obtained by using the Law of Detachment. It involves an additional conditional statement and is not in the form of the given "if p, then q" structure.

C. The conclusion "George lives in both Brick and Ocean County" cannot be derived using the Law of Detachment. It is not in the form of a conditional statement, and there is no given information that connects George's residence to the conditional statement provided. Therefore, D is the right answer. None of them are possible utilizing the Law of Detachment, as neither option B nor option C can be obtained. Therefore, Option D is correct.

The question was incomplete. find the full content below:

Which of the following conclusions is true AND obtained by using the Law of Detachment

A. If today is Saturday, then there is no school.

Today is Saturday.

There is no school.

B. If you work 8 hours, then you'll earn $100.

If you earn $100, you'll be able to buy a new set of headphones.

Jonathan works 8 hours.

He is able to buy a new set of headphones.

C. If a person lives in Long Beach Island, then they live in Ocean County.

Brick is in Ocean County.

George lives in both Brick and Ocean County

D. None of these.

Know more about Law of Detachment here:

https://brainly.com/question/13270134

#SPJ8

Answer:

children = 87 ; adults = 366

Step-by-step explanation:

a + c = 453

2.25a + 1.25c = 932.25

a = 453 - c

2.25(453 - c) + 1.25c = 932.25

1019.25 - 2.25c + 1.25c = 932.25

-c = 932.25 - 1019.25

-c = -87

c = 87

a = 453 - 87

a = 366

I hope this helps a little bit.

The expression that shows the area of the base of each pyramid in the soundproofing tile is **(x^2)/8 square inches**.

Since the tile is composed of 8 identical solid right pyramids with square bases, the total area of the base of each pyramid is equal to the total area of the tile divided by the number of pyramids. The tile has a length of x inches, so the area of the base of each pyramid can be calculated by taking the square of x (x^2) and dividing it by 8, since there are 8 pyramids in total. Therefore, the expression for the area of the base of each pyramid is (x^2)/8 square inches.

Learn more about area here

https://brainly.com/question/25292087

#SPJ11

By definition, when a test or technique measures what it intends to, it is valid.

The answer is option A.

The criterion-related validity of a take-a-look is measured by the validity coefficient. Its miles said as a number between zero and 1.00 that indicates the significance of the relationship, "r," among the take a look at and a measure of task overall performance (criterion).

Reliability and validity are both approximately how nicely a technique measures something: Reliability refers to the consistency of a measure (whether or not the consequences can be reproduced below identical situations).

Validity refers back to the accuracy of a measure (whether or not the results really do constitute what they may be speculated to a degree).

Learn more about Validity here: https://brainly.com/question/25759088

#SPJ4