Of the eggs produced by salmon,80% hatch, and of those, 25% survive to migrate to the ocean. How many eggs are needed to produce 100 salmon that migrate to the ocean?

Answer:

5+4+3=12

708/12=59

59*5=295

59*4=236

59*3=177

Arline=295, Mariana=236, Sue=177

Step-by-step explanation:

Answer:

HL

Step-by-step explanation:

It give you that the hypotenuse and one leg is congruent

Answer:

Domain: (-∞, -4) U (-4,∞)

range: (0,∞)

Answer:

B. 3ft 11in

Step-by-step explanation:

You can convert the in into ft and it is 3ft 11in

I hope it helps! Have a great day!

Lilac~

9514 1404 393

Answer:

  Marsha and Anthony

Step-by-step explanation:

Here a negative bank balance represents a debt. The larger the magnitude of the negative number, the more debt it represents. A positive bank balance corresponds to no debt.

Anthony and Marsha -- no debt . . . . smallest debt

Sara -- $90 in debt . . . . smallest non-zero debt

Sean -- $208 in debt

On those with non-zero debt, Sara has the smallest debt. Overall, Anthony and Marsha have the smallest debt: zero debt.

The value of the expression is 1.766.

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. By eliminating all common factors from the numerator and denominator and putting the fraction in its simplest/lowest form, we can simplify fractions.

Given the expression,

2\(e^{3x}\) = 400

divide by 2 into both sides

\(e^{3x}\) =  400/2

\(e^{3x}\) = 200

converting the expression in form of a log,

ln(\(e^{3x}\))= ln(200)

log(aⁿ) = n log(a)

3x ln(e) = ln(200)  [ln(e) = 1 and ln(200) = 5.2931]

3x = 5.2931

x = 1.766

Hence Option B is correct.

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Answer:

-78/30 or -2 3/5

Step-by-step explanation:

4 1/6 - 3 3/5

25/6 - 18/5

30-108\30

= -78/30 or -2 3/5

Answer:

4 1

6

–

3 3

5

=

17

30

Step-by-step explanation:

4 1

6

–

3 3

5

=  (4 – 3) + (

1

6

–

3

5

)

=  1 +

1 × 5

6 × 5

–

3 × 6

5 × 6

=  1 +

5

30

–

18

30

=  1 +

5 – 18

30

=  1 +

-13

30

=  

17

30

The zeros and the multiplicities are

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

f(x) = (x + 6)³(x - 11)²(x - 6)(x + 5)³

The power of each factor are the multiplicities

So, we have

Zero(s) of multiplicity one:

x - 6 = 0

Zero(s) of multiplicity two:

x - 11 = 0

Zero(s) of multiplicity three:

x + 6 = 0 and x + 5 = 0

When evaluated, we have

Zero(s) of multiplicity one:

x = 6

Zero(s) of multiplicity two:

x = 11

Zero(s) of multiplicity three:

x = -6 and x = -5

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Answer:

x = 11

Step-by-step explanation:

ΔLKM is an equilateral because a triangle with all 3 sides that are congruent is an equilateral triangle.

Angles in an equilateral triangle are all 60°.

Thus, ∠L = 60°.

=> 3x + 27 = 60

=> 3x = 33

=> x = 11

\(x=11\)

Step-by-step explanation:

\(∠L=(3x+27)°\)

Value of x.

\(∠L= ∠K= ∠M=(3x+27)°\)

[All sides of triangle are equal]

\(∠L+ ∠K+ ∠M= 180°\)

[Sum of all of triangle is 180°]

\(=>3x+27°+3x+27°+3x+27°=180°\)

\(=>9x+81 =180°\)

\(=>9x=180°-81\)

\(=>9x=99\)

\(=>x=\frac{99}{9}\)

\(=>x=11\)

Answer:

yy

Step-by-step explanation:

Answer:

234.375

Step-by-step explanation:

divide 7500 by 32, and you'll get the number of times 32 goes into 7500.

7500 ÷ 32 = 234.375

and if the question is asking for whole numbers it would be just 234 times (and a 3/8)

The surface area of the pyramid is multiplied by 100.

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

Explanation:

Consider a square that is 3 by 3. Its area is 3*3 = 9.

Then we'll multiply each dimension by 10 to get a 30 by 30 square. The new larger area is 30*30 = 900. The jump from the old area (9) to the new area (900) is "times 100". We can write 100 as 10^2, where the base of that exponential is the scale factor 10.

This idea can apply to any surface area and not just squares. This is why the surface area of the enlarged pyramid is 100 times that of the original pyramid.

new surface area = 100*(old surface area)

Answer:

the top empty box is 5 the second down box is 4 the box under 6 is 8

Step-by-step explanation:

Answer:

21/8

Step-by-step explanation: So in 1 day Peter walks 7/8 of a mile. You take 3 and make it 3/1 then mutiply it by 7/8. Your final answer is 21/8 miles or 2 5/8

The correct statements are,

B)It has two faces that are decagons.

C)It has 11 faces.

D)It has 20 edges.

What is decagonal pyramid?

A decagonal pyramid is a solid whose base is a decagon or a ten sided figure, regular or irregular. The surfaces are ten isosceles triangles, in case of a regular decagonal pyramid with all the ten vertices meeting at a point.

Here The decagonal prism is formed by two regular decagons as its bases and 10 squares as its other faces. the top of the decagonal prism is a regular decagon, so is the bottom face.

We know that decagonal pyramid has 11 faces and 20 edges and 11 vertices.

Hence the correct statements are,

B)It has two faces that are decagons.

C)It has 11 faces.

D)It has 20 edges.

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To factor this expression, 12 is factor of the two coefficients:

The calculated volumes of the figures are 11264 cubic units, 14482.28 cubic units, 3744 cubic units, 475.2 cubic units, 18824.14 cubic units and 91.99 cubic units

The cylinder

The volume is calculated as

V = πr²h

Where

r = Radius

h = Height

So, we have

V = 22/7 * (32/2)² * 14

Evaluate

Volume = 11264

The cylinder

The volume is calculated as

V = πr²h

Where

r = Radius

h = Height

So, we have

(2r)² = 40² - 32²

(2r)² = 576

So, we have

r = 12

So, we have

V = 22/7 * (12)² * 32

Evaluate

Volume = 14482.28

The rectangular prism

The volume is calculated as

V = lwh

Where

l = Length

w = Width

h = Height

So, we have

V = 8 * 12 * 39

Evaluate

Volume = 3744

The triangular prism

The volume is calculated as

V = 1/2lwh

Where

l = Length

w = Width

h = Height

So, we have

V = 1/2 * 11 * 5.4 * 16

Evaluate

Volume = 475.2

The sphere

The volume is calculated as

V = 4/3πr³

Where

r = Radius

So, we have

V = 4/3 * 22/7 * (33/2)³

Evaluate

Volume = 18824.14

The sphere

The volume is calculated as

V = 4/3πr³

Where

r = Radius

So, we have

V = 4/3 * 22/7 * 2.8³

Evaluate

Volume = 91.99

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You do know that to get to the fifth term from the second term you had to add the common difference 3 times. (adding ones takes you to the 3d term, adding twice takes you to the 4th term, and adding 3 times takes you to the 5th term.

An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k. This is in contrast to a geometric sequence where each term increases by dividing/multiplying some constant k. Example: a1 = 25. a(n) = a(n-1) + 5.

nth term=a+(n-1)d

Where a is the first term and d is the common difference.

Now,

2nd term=a+(2–1)d=a+ d——————(1)

5th term=a+(5–1)d=a+4d—————-(2)

Now, we take (2)-(1):

5th term-2nd term=(a+4d)-(a+ d)

5th term-2nd term=3d

So:

d=(5th term-2nd term)/3

Now as all the terms are known we can find out the common difference

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The correlation coefficient between X and Y is Corr(X, Y) = 0.

To calculate the marginal distribution of X and Y, we need to integrate the joint probability density function (PDF) over the appropriate ranges.

a. Marginal distribution of X:

To find the marginal distribution of X, we integrate the joint PDF over the range of Y:

∫[0, 1] J(x, y) dy

Since the joint PDF is defined as J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1 and J(x, y) = 0 otherwise, the integral becomes:

∫[0, x] 1 dy = x, for 0 ≤ x ≤ 1

So, the marginal distribution of X is simply X(x) = x for 0 ≤ x ≤ 1.

b. Expectation of X:

The expectation (mean) of X can be calculated as the integral of x times the marginal PDF of X:

\(E(X) = ∫[0, 1] x * X(x) dx = ∫[0, 1] x^2 dx = [x^3/3] from 0 to 1 = 1/3\)

Therefore, the expectation of X is E(X) = 1/3.

c. Variance of X:

The variance of X can be calculated using the formula:

\(Var(X) = E(X^2) - (E(X))^2E(X^2) = ∫[0, 1] x^2 * X(x) dx = ∫[0, 1] x^3 dx = [x^4/4] from 0 to 1 = 1/4Var(X) = 1/4 - (1/3)^2 = 1/4 - 1/9 = 5/36\)

Therefore, the variance of X is Var(X) = 5/36.

d. Covariance of X and Y:

The covariance of X and Y can be calculated as:

Cov(X, Y) = E(XY) - E(X)E(Y)

Since the joint PDF J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1, the integral becomes:

\(E(XY) = ∫[0, 1] ∫[0, x] xy dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

\(E(X) = 1/3 (from part b)E(Y) = ∫[0, 1] ∫[0, x] y J(x, y) dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

Cov(X, Y) = 1/6 - (1/3)(1/6) = 0

Therefore, the covariance of X and Y is Cov(X, Y) = 0.

e. Correlation coefficient between X and Y:

The correlation coefficient can be calculated using the formula:

Corr(X, Y) = Cov(X, Y) / √(Var(X) * Var(Y))

Since the covariance of X and Y is 0, the correlation coefficient will also be 0.

Therefore, the correlation coefficient between X and Y is Corr(X, Y) = 0.

f. Conclusion based on the correlation coefficient:

The correlation coefficient of 0 indicates that there is no linear relationship between X and Y. In this case, the fraction of male runners (X) and the

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There will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.

To calculate the amount in Nathan's daughter's RESP after 25 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = Final amount (amount in the account after 25 years)

P = Principal amount (amount deposited every 2 months)

r = Annual interest rate (in decimal form)

n = Number of times the interest is compounded per year

t = Number of years

In this case, Nathan deposits $940 every 2 months, so the principal amount (P) is $940. The annual interest rate (r) is 3.99% or 0.0399 in decimal form. Since the interest is compounded quarterly, the compounding frequency (n) is 4. The number of years (t) is 25.

Since Nathan deposits every 2 months, we need to calculate the total number of deposits made over 25 years. There are 12 months in a year, so in 25 years, there will be 25 * 12 = 300 months. However, since Nathan deposits every 2 months, the number of deposits (m) is 300 / 2 = 150.

Now, we can substitute these values into the formula:

A = 940(1 + 0.0399/4)^(4*25)

Calculating the exponent first:

(1 + 0.0399/4)^(4*25) ≈ 2.703236

Now, substituting the calculated exponent and the number of deposits into the formula:

A = 940 * 2.703236 * 150 ≈ $594,311.34

Therefore, there will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.

It's important to note that this calculation assumes Nathan makes the same $940 deposit every 2 months consistently over the 25-year period and does not make any withdrawals from the account during that time. Additionally, the actual amount may vary slightly due to rounding and any potential changes in interest rates over the years.

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Answer:

0.000038 centimeters

Step-by-step explanation:

Answer:

$8 in 1 week mmmmmmmmmmmmnnnn

Answer:

$8

Step-by-step explanation:

If you save 32 dollars in 4 weeks, you want to divide it by 4 to get amount of dollars per week. 32 dollars/ 4 weeks = 8 dollars/ 1 week. If you have a question that asks how much will you save in, for example 9 weeks, just multiply 8 by 9, and get 72 dollars saved in 9 weeks.

There are 14 Geometry problems in Vardan's homework assignment.

The number of geometry problems in Vardan's homework assignment, we need to calculate 58 1/3 percent of the total number of problems.

First, let's convert 58 1/3 percent to a decimal by dividing it by 100:

58 1/3 percent = 58.33/100 = 0.5833

Next, we multiply the decimal by the total number of problems:

Number of geometry problems = 0.5833 * 24

To calculate this, we can multiply 0.5833 by 24:

Number of geometry problems = 0.5833 * 24 = 14

Therefore, there are 14 geometry problems in Vardan's homework assignment.

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Answer:

v = 3.77 m/s

Step-by-step explanation:

Uniform Circular Motion

It's a movement in which an object moves along the circumference of a circle. It can also be defined as a rotation along a circular path.

The angular speed can be calculated in two different ways:

\(\displaystyle \omega=\frac{v}{r}\)

Where:

v = tangential or linear speed

r = radius of the circle described by the rotating object

Also:

\(\omega=2\pi f\)

Where:

f = frequency

The frequency is calculated when the number of revolutions n and the time t are known:

\(\displaystyle f=\frac{n}{t}\)

The pulley turns at n=6 revolutions per t= 1 second, thus:

\(\displaystyle f=\frac{6}{1}\)

f = 6 Hz

The angular speed is:

\(\omega=2\pi 6\)

\(\omega=37.7 \ rad/s\)

The linear speed can be calculated by solving the first equation for v:

\(v = \omega\cdot r\)

The radius is converted to meters: r=10 cm = 0.1 m. Calculate the speed:

\(v = 37.7 \ rad/s\cdot 0.1\ m\)

v = 3.77 m/s

The length of the arc KL in the given circle is 3.49 units

In a circle whose radius is R, the length of an arc defined by an angle x is given by:

Length = (x/360)*2*3.14*R

Here we know that the radius is 2 units, and the angle for the arc KL is 100°, then we can replace these values in the formula above so we get that the length of the arc is:

Length = (100/360)*2*3.14*2

Lenght = 3.49 units.

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If the child is given 15 mg of medicine and weights 52 pounds, we can calculate the pediatric dosage as:

Answer: 0.288 mg/lb

(a) The distribution of T is Geometric Distribution and parameter is p which ranges from 0 to 1.

(b) p(x - a) - p\((1-p)^{a-1}\) where, x is probability that the xth trial is the first success \($\hat{A} \hat{A} P\) is the probability of success.

(c) Expected pay-off retains are negative, so this is an unfair game.

The probabilities of winning $1 million are \($P_1$\) and \($P_2$\) respectively.

(a) Let 'T ' be the number of times you play until winning at least one prize.

T follows Geometric Distribution, it has only parameter P which is the probability of success which ranges between 0 and 1.

(b) Its probability density function is.

p(x - a) - p\((1-p)^{a-1}\)

where, x is probability that the xth trial is the first success \($\hat{A} \hat{A} P\) is the probability of success.

Expected payoff: pw - (1 - p) x dollar

Where:-

p is the probability of success

\($\omega$\) is the lottery winning amount

\($\alpha$\) is the lottery buying cost

(c) \($P=\frac{1}{292,201,338} & =0.0000000034 \\\)

Expected payoff = \(p \times 1,000,000-(1-p) 10 \\\)

= 0.0034 - 9.999999966 \\

= -9.99659966

Expected pay-off retains are negative, so this is an unfair game.

\($p=\frac{1}{3,02,575,350} & =0.0000000033 \\\)

Expected pay-off  \(& =p \times 10000000-(1-p) 10 \\\)

= 0.0033 - 9.999999967

= -9.996699967

Winning probability \(( $P_s$ )\) are so low that expected returns are negative.

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Answer:

The surface area of the soup can is given by the formula:

SA = 2πr² + 2πrh

where r is the radius of the circular ends of the can, h is the height of the can, and π is approximately 3.14.

The radius of the can is half of the diameter, so r = 4.5 cm.

Therefore, the surface area of the can is:

SA = 2π(4.5)² + 2π(4.5)(11)

SA = 2π(20.25) + 2π(49.5)

SA = 40.5π + 99π

SA = 139.5π

Approximating π as 3.14, we get:

SA ≈ 139.5 × 3.14

SA ≈ 438.03 cm²

Therefore, at least 438.03 square centimeters of paint are needed to cover the can.

So, the answer is 438.03 cm2.

I Hope This Helps!

The value of the expression is 1 / (x² \(y^4\)).

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

\(x^{-2}\) / \(y^4\)

\(x^{-2}\) can be written as 1/x².

Now,

(1/x²)/\(y^4\)

= 1 / (x² \(y^4\))

Thus,

The value is 1 / (x² \(y^4\)).

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