13. HELP PLEASE ASAP!!!!!!!

0.60792 liters x 1000 = 607.92 mL

Multiplying the volume in liters by 1000 converts it to milliliters.

Answer:

7

Step-by-step explanation:

25% of 28 =

= 0.25 × 28

= 7

Answer: 7

Option C represents a modified Hardy-Weinberg equation that incorporates the effects of natural selection on a population. The equation is given as:

$(p-3s)^2 + 2(p-s)q + q^2 = 1$

In this equation, various terms are included to express the impact of natural selection. Let's break down the equation and understand its components.

$p$ represents the frequency of the dominant allele in the population, while $q$ represents the frequency of the recessive allele. These frequencies are determined based on the initial allele frequencies in the population.

The term $(p-3s)^2$ represents the expected frequency of the homozygous dominant genotype in the next generation. The factor $3s$ denotes the selection coefficient, where $s$ represents the frequency of homozygous recessive individuals who do not survive due to natural selection. By subtracting $3s$ from $p$, we account for the reduction in the frequency of the dominant allele due to selection.

The term $2(p-s)q$ represents the expected frequency of the heterozygous genotype in the next generation. This term incorporates both the initial frequency of the heterozygous individuals, represented by $(p-s)$, as well as the transmission of alleles through reproduction, given by $q$. The factor of 2 accounts for the two possible combinations of alleles in the heterozygous genotype.

Finally, $q^2$ represents the expected frequency of the homozygous recessive genotype in the next generation. This term considers the transmission of the recessive allele, represented by $q$, and its squared value accounts for the homozygous recessive genotype.

The equation is set equal to 1, as the frequencies of all genotypes should sum to 1 in a population.

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The dimensions of the rectangle with the area of 345 square feet are

23 ft by 15 ft .

We are given;

Rectangle perimeter equals 10x plus 16.

The width is five times more than the unit of measurement. Thus;

Height + 3x + 5

The formula for a rectangle's perimeter is;

Perimeter equals 2 (width plus length).

3x + 5 + Length + 10x + 16 = 2

Divide both sides by 2 to obtain: 3x + 5 + Length = 5x + 8

Distance = 2x + 3

Area of a rectangle is calculated as Area = Length Width.

Area equals (2x + 3)3x + 5)

6x2 + 19x + 15 = Area

The area is specified as 345 ft2. Thus;

6x² + 19x + 15 = 345

6x² + 19x - 330 = 0

Solving the quadratic equation by factorization we get:

(6x + 55 ) (x - 6) = 0

Now either , x = -55/6 or x = 6 .

Hence x is 6 , as the value of x cannot be negative.

Consequently, width = 3(6) + 5 width = 23 ft.

Size = 2(6) + 3 Size = 15 ft.

Hence the dimensions of the rectangle are 23 feet by 15 feet .

The complete length of a shape's boundary is referred to as its perimeter. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.

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Answer:

Distribute:

=(−2)(4x)+(−2)(−4)+x

=−8x+8+x

Combine Like Terms:

=−8x+8+x

=(−8x+x)+(8)

=−7x+8

Step-by-step explanation:

Answer:

x  

2

−4x+4=0

To solve the equation, factor x  

2

−4x+4 using formula x  

2

+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=−4

ab=4

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 4.

−1,−4

−2,−2

Calculate the sum for each pair.

−1−4=−5

−2−2=−4

The solution is the pair that gives sum −4.

a=−2

b=−2

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x−2)(x−2)

Rewrite as a binomial square.

(x−2)  

2

To find equation solution, solve x−2=0.

x=2

Step-by-step explanation:

hope this helped heres a graph

To find the probability of a company having both a website and a section in the newspaper, we can use the formula for conditional probability.

Let's denote the events as follows:
A: A company has a section in the newspaper
B: A company has a website

We are given the following probabilities:
P(A) = 0.43 (Probability of a company having a section in the newspaper)
P(B|A) = 0.84 (Probability of a company having a website given that it has a section in the newspaper)

The probability of both events A and B occurring can be calculated as:
P(A and B) = P(A) * P(B|A)

Substituting in the values we have:
P(A and B) = 0.43 * 0.84
P(A and B) = 0.3612

Therefore, the probability of a company having both a website and a section in the newspaper is 0.3612 or 36.12%.

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Answer:

Yes

Step-by-step explanation:

\(4x + 7 + 6x - 1\\10x + 6\)

\(15x + 5 + 1 -5x\\10x+6\)

They both equal 10x + 6

Answer:

no they are not equal bcz Lhs is not =Rhs

• so we know the final number is 6 so lets look at the rest of the question:

• Let unknown number = y

• so ( y-2 ), so twice the difference of a number 2 is 6 will be expressed as follows :

2(y-2) = 6

Answer:

Let x = the price of movies and let y = the price of video games

8x + 3y = 43

2x + 5y = 32

Use the Elimination Method by multiplying both sides of the second equation by 4

8x + 3y = 43

-(8x + 20y = 128)

-17y = -85

y = 5

2x + 5(5) = 32

2x + 25 = 32

2x = 7

x = 7/2 = 3.5

Movies cost $3.50 and video games cost $5

Step-by-step explanation:

pls mark me brainlest

Answer:

When there are 2 answers there will be a crown you can click and that will give brainlest

Step-by-step explanation:

=  

a + b + c

2

=  

8 + 10 + 5

2

=  11.5 inches

Area =  √s(s-a)(s-b)(s-c)

=  √11.5×(11.5 - 8)×(11.5 - 10)×(11.5 - 5)

=  19.810035335658 inches

Answer:

the answer is 19.81 inches

Step-by-step explanation:

it is a bit unclear to me how the cups are stacked on each other.

are we building a pyramid or is it really just one line of cups stacked into each other ? the equation suggests the latter. so, I will continue with that assumption.

then each additional cup really adds only the height of the rim to the total height of the cup tower.

so, we want to find out for what smallest x is the equation delivering as y value 32,400 or more.

32,400 = 2.4x + 13.6

let's get rid of the decimals by multiplying everything by 10.

324,000 = 24x + 136

323,864 = 24x

x = 323,864/24 = 13,494.33333...

so, we need 13,495 cups to reach its height (just rounding it to 13,494 would still leave a tiny gap, so we need the 13,495th cup - there is no way to reach the height exactly).

The conjugate which is 3 - √7 is also a root of f(x).

The root of a polynomial function f(x) is the value of x for which f(x) = 0.

Now if a polynomial function has a root x = a + √b then the conjugate of x which is x' = a - √b is also a root of the function, f(x).

Given that the polynomial function, f(x), with rational coefficients has roots

3 + √7, then by the above, the conjugate which is 3 - √7 is also a root of f(x).

So, 3 - √7 is also a root of f(x).

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Answer:

B.

Step-by-step explanation:

A is 10. B is 12. C (2^4) is 16. D is 3.14.... B (12) is the greatest.

Hope it helps!

Answer:

m = e/c^2

Step-by-step explanation:

Equation: e = mc^2

Isolate m: e/c^2 = mc^2/c^2

Cancel out: e/c^2 = m

The ladder needs to be 34.3m long from tree you to get to get the cat.

We must determine the hypotenuse in this right triangle, which is the side that is opposite the triangle's 90° angle. When the neighboring side is 23 meters away, the elevation angle is  54°

Suppose Hypotenuse equals h.

Given, the base is 23m

Using trigonometry,

tan θ = Base / hypotenuse

tan 54° = 23 / h

⇒ 0.67 = 23 / h

⇒ h = 23 / 0.67

⇒ h = 34.3

So, the ladder needs to be 34.3m away in order to reach cat.

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The linear equation that represents the number of gift sets needed to hold 124 ounces is x + 16y = 124. Then the correct option is 2.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A manufacturing plant produces two different-sized containers of peanuts.

One container weighs x ounces and the other weighs y pounds.

If a gift set can hold one of each size container.

Then the equation represents the number of gift sets needed to hold 124 ounces

We know that the conversion of the pound to the ounce will be

1 pound = 16 ounces

y pound = 16y ounces

Then we have

x + 16y = 124

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West Moreland is -157 ( below sea level would be a negative value)

Dallas is 430 above

-157 to sea level is 157 feet

Sea level to 430 is 430 feet

Total distance = 157 + 430 = 587 feet.

Answer:

587 feet

Westmoreland is 157 feet below the sea level.

This is a negative number, so add 157 to get to 0.

Dallas is 430 above sea level.

Add 430 and 157. You get 587.

Hope it helps!

Answer:

To compute the average speed, multiply the total distance travelled by the whole time spent. There's a formula for speed, time and distance

Travel distance aboard the pterodactyl = 10 mph x 3 hours = 30 miles

Distance travelled on the spinosaurus = 2 miles x 1 hour = 2 miles

30 miles + 2 miles = 32 miles total distance travelled

Total time required = 3 hours + 1 hour = 4 hours

Average speed = total distance travelled divided by the total time taken = 32 miles divided by 4 hours = 8 mph

As a result, our average speed is 8 mph.

There are 201376 ways can a group of 5 lucky students be selected to sit in the front of the classroom.

What are combinations?

Combinations are mathematical operations that count the variety of configurations that can be made from a set of objects, where the order of the selection is irrelevant. You can choose any combination of the things in any order.

Permutations and combinations are often mistaken. The chosen components' order is crucial in permutations, though. For instance, whereas permutations treat the arrangements differently, combinations treat the arrangements ab and ba equally (as one arrangement).

Use the combinations formula:

n = 32, r=5

\(^{n}C_{r}=\frac{n!}{(n-r)! r!}\)

\(^{32}C_{5}=\frac{32!}{(32-5)! 5!}\)

       = (32*31*30*29*28*27!)/(5!*27!)

       = (32*31*30*29*28)/ (5*4*3*2*1)

       = 201376

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The amount of Chemical  B needed is 1.6 g.

This refers to a diagram that shows a series of one or more points, lines, line segments, curves, or areas that represents the variation of a variable when compared with that of one or more other variables.

The quantity of Chemical B is plotted against the quantity of  Chemical A.

Chemical B  is plotted on the vertical axis using the scale of 1 cm to represent 2 units. Chemical A is plotted on the horizontal axis using the scale of 1 cm to represent 1 unit.

Therefore, on the graph, the line passing through the origin of the graph shows that when  1.4 g of Chemical A is used  1.6 g of Chemical B is needed.

Chemical B  is plotted on the vertical axis using the scale of 1  cm to represent 2 units.

To get the amount of Chemical B is  on vertical axis =  2 grams

                                                                                             5 boxes

                                                                                       =0.4 g

Tracing the mass of Chemical A used 1.4 g it meets the line passing through the center at 4th line (4th box).

To get the amount of Chemical B is  on vertical axis = amount of Chemical B per box * the number of line (boxes).

To get the amount of Chemical B is  on vertical axis = 0.4 g * 4 lines (boxes)

                                                                                        = 1.6 g

Hence The amount of Chemical  B needed is 1.6 g.

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The required inequality is 150m₁ + 180m₂ ≥ 300 + 50

What is an inequality?

A connection in mathematics that compares two integers or other mathematical expressions in an unequal way is known as an inequality. The majority of the time, it is employed to contrast the sizes of two numbers on a number line. There are numerous notations used to represent different sorts of

inequalities:

(i) The symbol a < b indicates that an is smaller than b.

(ii) The symbol a > b indicates that an is bigger than b.

In either scenario, a and b are not equal. These are characterized as stringent inequalities because an is either strictly less than or strictly bigger than b. Equivalence is not allowed. In contrast to rigorous inequalities, there are two forms of non-strict inequality relations.

The required inequality is 150m₁ + 180m₂ ≥ 300 + 50

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Solution

- The function given is:

- Rolle's theorem states that:

"if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b), then f′(x) = 0 for some x with a ≤ x ≤ b."

- The Rolle's theorem formula is:

- The interval given to us is [0, 1], this implies that:

- We can confirm that:

- Thus, since the values of f(a) and f(b) are not equal, no value of c would satisfy the Rolle's theorem

Answer:

r=c2pi ok

Step-by-step explanation:

that the answer

Answer:

\(p = c + rc \\ p - c = rc \\ \frac{p - c}{c} = r \: or \: r = \frac{p - c}{c} \)

Answer:

The red symbol drawn over ∠2 and ∠3 indicates that the two angles total 90°. Therefore:

\(m\angle{2}+m\angle{3}=90^{\circ}\)

The missing value so that the line passing through the points has the given slope is of:

r = 9.

Given two points that are on the graph of the linear function, the slope of the linear function is obtained by the division of the change in y of the two points by the change in x of the two points.

In this problem, the points are given as follows:

(6, r) and (3,3).

Hence the changes are given as follows:

Then the equation that gives the slope is of:

m = (r - 3)/3.

The slope has a numeric value of 2, hence the missing value r is obtained as follows:

2 = (r - 3)/3.

r - 3 = 6

r = 9.

The points are given as follows:

(6, r) and (3,3).

The slope is of:

m = 2.

To prove that triangles ABC and ADC are tangent, use tangents and properties of tangential quadrilaterals. ABCD is tangential, so there is a circle tangent to all four sides. Triangles ABC and ADC share a common tangent line, with points P, A, and Q lying on a circle with diameter AB.

To prove that the circles inscribed in triangles ABC and ADC are tangent to each other, we can use the concept of tangents and properties of tangential quadrilaterals.

Given that ABCD is tangential, it means that there exists a circle that is tangent to all four sides of the quadrilateral ABCD. Let's call this circle O.

Now, let's focus on triangles ABC and ADC. The circles inscribed in these triangles are tangent to their respective sides. Let's call the circle inscribed in triangle ABC as O1, and the circle inscribed in triangle ADC as O2.

To prove that O1 and O2 are tangent to each other, we can show that they share a common tangent line.

1. Firstly, note that the common side AD is shared by both triangles. This means that the circle O1 is tangent to AD at a point, let's call it P. Similarly, circle O2 is also tangent to AD at a point, let's call it Q.

2. Next, consider the angles ∠APB and ∠AQB. Since circle O1 is inscribed in triangle ABC, the angle ∠APB is a right angle. Similarly, since circle O2 is inscribed in triangle ADC, the angle ∠AQB is also a right angle.

3. Now, since both ∠APB and ∠AQB are right angles, it means that points P, A, B, and Q all lie on a circle with diameter AB. Let's call this circle X.

4. Now, let's consider the line passing through the points P, A, and Q. Since P and Q lie on the same side of line AB, it means that this line intersects circle X at two distinct points, which are A and P.

5. Therefore, the line passing through points P, A, and Q is the common tangent to circles O1 and O2.

Hence, we have proved that the circles inscribed in triangles ABC and ADC are tangent to each other.

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The monthly periodic interest rate is 1.67%.

We divide the Annual Percentage Rate by 12:

= 19.99% ÷ 12

= 1.67%

Periodic Rate is the rate of interest that is explained in relation to a certain amount of time. The monthly periodic rate, for example, is the cost of credit per month; the daily periodic rate is the credit charge per day. You can calculate the periodic rate by dividing the Annual Percentage Rate (APR) by the number of billing periods in a year.

For example, the monthly periodic rate is calculated based on the APR divided by the number of months in the year, or 12. A credit card with a 12% annual percentage rate will have a 1% monthly periodic rate. The quarterly periodic rate is APR divided by 4 because there are four quarters in each year.

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a. The recursive formula for the number of tulips Marko has is: \(Tn = Tn-1 + 5\), where Tn is the number of tulips in year n and Tn-1 is the number of tulips in year n-1.

b. The explicit formula for the number of tulips Marko has is: Tn = 20 + 5n, where Tn is the number of tulips in year n and n is the number of years since Marko started planting.

c. If this trend continues, there will be 90 tulips in 10 years.

d. If this trend continues, it will take Marko 40 years to have 200 tulips.

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