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please with questions 4, 5 and 6, THANKS

Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."

x + y = 420; y = 6x

Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."

The smallest and largest fish range in size from 1 cm to 18 m. 18 m then equals 18 x 100 or 1800 cm. ∴ The length of large fish exceeds that of little fish by 1800 times.

The number of parrotfish Carlos purchased is represented by the variable y, whereas the number of angelfish Carlos purchased is represented by the variable x.

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Answer:

B

Step-by-step explanation:

The easiest way to find the answer is to convert all of the fractions to have the same denominator,...

A = (22/55 / 11 = 2/5 and 2/5 * 20)            = 40/100

B = (17/20 * 5)                                             = 85/100

C = (4/5 * 20)                                              = 80/100

D = (3/4 * 25)                                              = 75/100

B (Lily) is the highest followed by C (Nikki), D (Sydney), and A (Monica)

Hope it helps,... Chow,...!

i hope this helps! Let me know if I have to explain it more or if i got it wrong.

When the weight moves from x = -8 cm to x = 8 cm, the spring moves from its maximum stretched position to its maximum compressed position.Hence, the spring oscillates between its maximum stretched and compressed positions when the weight is set in motion. Therefore, the spring is a simple harmonic oscillator.

Given: Displacement x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0. To find: What is the spring?Explanation:We know that displacement is given by x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0.Comparing this with the standard equation, x

= Acos(ωt+ φ)A

= amplitude

= 8 cmω

= angular frequencyφ

= phase angleWhen the spring is at equilibrium position, the weight attached to the spring does not move. Hence, no force is acting on the weight at the equilibrium position. Therefore, the spring is neither stretched nor compressed at the equilibrium position.Now, the spring is set in motion resulting in a displacement of x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0. The maximum displacement of the spring is 8 cm in the positive x direction. When the weight is at x

= 8 cm, the restoring force of the spring is maximum in the negative x direction and it pulls the weight towards the equilibrium position. At the equilibrium position, the weight momentarily stops. When the weight moves from x

= 8 cm to x

= -8 cm, the spring moves from its natural length to its maximum stretched position. At x

= -8 cm, the weight momentarily stops. When the weight moves from x

= -8 cm to x

= 8 cm, the spring moves from its maximum stretched position to its maximum compressed position.Hence, the spring oscillates between its maximum stretched and compressed positions when the weight is set in motion. Therefore, the spring is a simple harmonic oscillator.

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The displacement of the weight attached to the spring is given by the equation x = 8 cos t. The amplitude of the motion is 8 centimeters and the period is 2π seconds.

The equation x = 8 cos t represents the displacement of a weight attached to a spring in simple harmonic motion. In this equation, x is measured in centimeters and t is measured in seconds.

The amplitude of the motion is 8 centimeters, which means that the weight oscillates between x = 8 and x = -8.

The period of the motion can be determined from the equation T = 2π/ω, where ω is the angular frequency. In this case, ω = 1, so the period T is 2π seconds.

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Answer:

5 weeks

Step-by-step explanation:

so if Lily has $60 and takes out (subtracts) 12 a week then it would look like this

    TOTAL STARTED WITH       EACH WEEK

          $60                  -12              48

         $48               -     -12           36

         $36                      -12          24

           $24                  -12          12

          $12                   -12           0

SO Lily will have enough money to deposit for 5 weeks

The formula to calculate the volume of a sphere is:

Start by finding the radius using the diameter and dividing it by 2

then, replace the radius in the formula and find the volume

Answer:

1.B

2.A

3.B

4.(not sure)

5. C

Step-by-step explanation:

Give brainliest please!

Hope this helped :)

Answer:

-2

Step-by-step explanation:

essay with the title stolen

Answer:

-2

Step-by-step explanation:

We'll have to solve the problem first, the strategy used here is to divide the first term of the dividend by the first term of the divisor (x^4 / x) which is x^3 and then we add it as the first term in the quotient, and then multiply x^3 by the divisor ( x^3 * (x-3)) which is  x^4 - 3x^3, then we subtract the x^4 - 3x^3 from the dividend ( ( x^4 + 2x^3 - 10x^2 - 4x - 35 ) - ( x^4 - 3x^3 ) ) which is equal to 5x^3 - 10x^2 - 4x - 35, and we do the last steps over and over until the remainder equals -2, in case of confusion, here are the other steps:

5x^3 / x = 5x^2

the current quotient = x^3 + 5x^2

5x^2 * x-3 = 5x^3-15x^2

( 5x^3 - 10x^2 - 4x - 35 )-( 5x^3-15x^2 ) = 5x^2 - 4x - 35

5x^2 / x = 5x

the current quotient = x^3 + 5x^2 + 5x

5x * x-3 = 5x^2-15x

( 5x^2 - 4x - 35 ) - ( 5x^2-15x ) = 11x - 35

11x / x = 11

the final quotient = x^3 + 5x^2 + 5x + 11

11 * x-3 = 11x - 33

(11x - 35) - (11x - 33) = -2

So, the remainder will be -2

The most appropriate choice for percentage will be given by

Cost of fencing 1.1 foot = $5.995

Cost of sodding 1.1 sq. foot = $0.715

Total cost of fencing and sodding = $6.71

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.

For example- 2% means \(\frac{2}{100}\)

Here,

Cost of fencing 1 foot = $5.45

10% of 1 foot = \(\frac{10}{100}\times 1\)

                     = 0.1 foot

1 foot + 10% of 1 foot = 1 + 0.1 = 1.1 feet

cost of fencing 1.1 foot = $5.45 \(\times\) 1.1 = $5.995

Cost of sodding 1 sq foot = $0.65

Cost of sodding 1.1 sq foot = $0.65 \(\times\) 1.1 = $0.715

Total cost of fencing and sodding = $(5.995 + 0.715)

                                                         = $6.71

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A set of simultaneous equations is often known as a system of equations or an equation system. The solution of the system of equations is (4.123, 5.754) and (-1.662, 3.085).

A set of simultaneous equations, often known as a system of equations or an equation system, is a finite collection of equations for which common solutions are sought.

Inconsistent System

For a system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.

The solution of the two of the given function will be when the graph of the two the function will intersect with each other.

Using the graph the solutions are (4.123, 5.754) and (-1.662, 3.085)

Hence, the solution of the system of equations is (4.123, 5.754) and (-1.662, 3.085).

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g = number of girls

2g = twice the number of girls

2g+5 = add on 5 to the previous value

2g+5 = number of boys

-------------------

Since there are 89 students we can say

girls + boys = 89 total

g + (2g+5) = 89

3g+5 = 89

3g = 89-5

3g = 84

g = 84/3

g = 28 is the number of girls

2g+5 = 2*28+5 = 61 is the number of boys

Check: girls+boys = 28+61 = 89 total, so it confirms the correct count for each.

Answer:

$60.20

Step-by-step explanation:

7.5 percent of 56 can be found by multiplying 56 times .075, which equals 4.2. Add that to 56 and you get the total cost, which is $60.20

By multiplying each digit of the base-2 numbers by the corresponding powers of 2, we were able to convert them to their respective base-10 representations.

1. Converting base-2 numbers to base-10:

(a) 101101 in base-2 is equal to 45 in base-10.

(b) 101.011 in base-2 is equal to 5.375 in base-10.

(c) 0.01101 in base-2 is equal to 0.40625 in base-10.

To convert a base-2 number to base-10, we need to multiply each digit of the base-2 number by powers of 2, starting from the rightmost digit. For example:

(a) 101101 in base-2:

1 * 2^5 + 0 * 2^4 + 1 * 2^3 + 1 * 2^2 + 0 * 2^1 + 1 * 2^0

= 32 + 0 + 8 + 4 + 0 + 1

= 45 in base-10.

(b) 101.011 in base-2:

1 * 2^2 + 0 * 2^1 + 1 * 2^0 + 0 * 2^-1 + 1 * 2^-2 + 1 * 2^-3

= 4 + 0 + 1 + 0 + 0.25 + 0.125

= 5.375 in base-10.

(c) 0.01101 in base-2:

0 * 2^0 + 0 * 2^-1 + 1 * 2^-2 + 1 * 2^-3 + 0 * 2^-4 + 1 * 2^-5

= 0 + 0 + 0.25 + 0.125 + 0 + 0.03125

= 0.40625 in base-10.

By multiplying each digit of the base-2 numbers by the corresponding powers of 2, we were able to convert them to their respective base-10 representations.

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$4.32 / 12 = $0.36 (12 pack)

$7.80 / 20 = $0.39 (20 pack)

The 12 pack of juice works out to cost $0.36 per box of juice while the 20 pack of juice works out to cost $0.39 per box of juice therefore, the 12 pack of juice is the best buy as you will pay less per box of juice than you would with the 20 pack of juice

Answer:

  If you are not busy on Saturday night, then you do not baby-sit on Saturday night

Step-by-step explanation:

For a conditional if P then Q, the contrapositive is if not Q, then not P.

For the given conditional, ...

  P = you baby-sit on Saturday night

  Q = you are busy on Saturday night

So, the contrapositive is ...

  If you are not busy on Saturday night, then you do not baby-sit on Saturday night.

Using the direct and inverse variations, the time taken by 10 workers to paint a fence of 1000 ft is 15 hours.

The ratio between two proportional quantities' constant values is known as the constant of proportionality. When either their ratio or their product gives a constant, two changing values are said to be in a proportionate relationship. The Direct Variation and Inverse Variation types of proportions between the two provided values determine the proportionality constant's value.

Given that the time t needed to paint a fence varies directly as the length L and inversely as the number of workers w.

This is represented as follows:

t = k(l/p)

Where, k is the proportionality constant.

Given that, it takes 10 hours to paint 400 feet of fence with six workers.

Substitute the value of t = 10, l = 400 and w = 6 in the equation we have:

10 = k (400 / 6)

10 = k (66.66)

k = 10 / 66.66

k = 0.15

Now, for or 10 workers to paint 1000 ft fence, take l = 1000, w = 10, and k - 0.15:

t = (0.15) (1000 / 10)

t = (0.15) (100)

t = 15

Hence, the time taken by 10 workers to paint a fence of 1000 ft is 15 hours.

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Answer:

The values are calculated with the help of table.

Step-by-step explanation:

We are given the following information in the question:

A table is shown showing trees on two different plots of land which are tested for disease.

     Tree:        1           2           3           4          5           6          7        

      Plot:         A          A           B           B         B           A          B

Disease:        Y          N           Y           Y          Y          N         N

We have to find:

Calculating from the table, we can fill the values as:

                                              Plot A                Plot B

Disease Present                        1                          3

Disease not Present                2                          1

Answer:

7 + 4\(\sqrt{3}\)

Step-by-step explanation:

note that \(\sqrt{a}\) × \(\sqrt{a}\) = a

Given

(2 + \(\sqrt{3}\) )² = (2 + \(\sqrt{3}\) )(2 + \(\sqrt{3}\) )

Each term in the second factor is multiplied by each term in the first factor, that is

2(2 + \(\sqrt{3}\) ) + \(\sqrt{3}\)(2 + \(\sqrt{3}\) ) ← distribute both parenthesis

= 4 + 2\(\sqrt{3}\) + 2\(\sqrt{3}\) + 3 ← collect like terms

= 7 + 4\(\sqrt{3}\)

Answer:

42 centimeters for the length and 12 centimeters for the width.

Step-by-step explanation:

Let's assume that the length of the rectangle is 7x and the width is 2x, where x is a common factor.

The perimeter of a rectangle is given by the formula: P = 2(l + w), where P represents the perimeter, l represents the length, and w represents the width.\(\hrulefill\)

Given that the perimeter of the rectangle is 108 centimeters, we can write the equation as:

108 = 2(7x + 2x).

Simplifying the equation:

108 = 2(9x).

54 = 9x.

x = 6.

Now, we can find the dimensions of the rectangle:

Length = 7x = 7 * 6 = 42 centimeters.

Width = 2x = 2 * 6 = 12 centimeters.

Therefore, the dimensions of the rectangle are 42 centimeters for the length and 12 centimeters for the width.

ways and answer in paper

The approximate value of f(1) using Euler's method with two steps of equal size is 6.636. The range of f for t > 0 is 0 < f(t) < 6.

a. The limiting factor in this logistic differential equation is the carrying capacity, which is 6 in this case. As y approaches 6, the growth rate of y slows down, until it eventually levels off at the carrying capacity.

b. To use Euler's method, we first need to calculate the slope of the solution at t=0. Using the given differential equation, we can find that the slope at t=0 is y(0)/8(6-y(0)) = 8/8(6-8) = -1/6.

Using Euler's method with two steps of equal size, we can approximate f(1) as follows:

f(0.5) = f(0) + (1/2)dy/dx|t=0

= 8 - (1/2)(1/6)*8

= 7.333...

f(1) = f(0.5) + (1/2)dy/dx|t=0.5

= 7.333... - (1/2)(7.333.../8)*(6-7.333...)

= 6.636...

Therefore, the approximate value of f(1) using Euler's method with two steps of equal size is 6.636.

c. The range of f for t > 0 is 0 < f(t) < 6, since the carrying capacity of the logistic equation is 6. As t approaches infinity, f(t) will approach 6, but never exceed it. Additionally, f(t) will never be negative, since it represents a population size. Therefore, the range of f for t > 0 is 0 < f(t) < 6.

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Therefore, Linda bought 21 yards of ribbon. Hence, Linda bought 94 yards of ribbon.

The number of yards of ribbon Linda bought, we need to calculate the difference between the initial balance on the card and the remaining balance after the purchase.

The initial balance on the card was $20. To find the amount spent on ribbon, we subtract the remaining balance ($17.06) from the initial balance. $20 - $17.06 = $2.94

Now, we need to determine how many yards of ribbon Linda could purchase with $2.94, given that the price of the ribbon is 14 cents per yard.

To find the number of yards, we divide the total amount spent ($2.94) by the price per yard (14 cents): $2.94 ÷ $0.14 = 21

Therefore, Linda bought 21 yards of ribbon.

Hence, Linda bought 94 yards of ribbon.

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The reason that best supports statement 5 in the given proof is Substitution

The process of substituting means putting numbers in place of letters to calculate the value of an expression .

Take the equation 8 - 4x as an example. Depending on what number x is, this can take a wide range of values.

Multiplication property of equality:

Let's take an example,

x ÷ 2 =  (2x - 14)

x ÷ 2 × 2 = 2 × (2x - 14)

x = 4x - 28

then by multiplication property of equality, we can multiply 2 on both sides and rewrite the equation,

x = 4x - 28

Let's take another example,

x - 4 = 4

then by addition property of equality, we can add 4 on both sides and rewrite the equation,

x - 4 + 4 = 4 + 4

x = 8

In math, if A=B and B=C, then A=C

In other words, since A and C are both equal to the same thing.

For example, if A is 5 then by the transitive property we can conclude that B and C are also equal to 5.

If two figures can be placed precisely over each other, they are said to be 'congruent' figures.

So, According to the question:

Finally, in the fifth reason, we can conclude that it is substitution because by the second reason m of ∠A is congruent to m of ∠B. So, if we remember the substitution we can assign the value of m∠A to the value of m∠B because both are congruent by the second reason.

Therefore, the reason that best supports statement 5 in the given proof is Substitution.

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For complete question, to see the attachment.

Answer:

(-∞, -3]U [-2,∞)

Step-by-step explanation:

To calculate producer surplus at equilibrium, we need to find the area between the price line and the supply curve at the equilibrium price. This represents the difference between the cost of production for producers (based on the supply curve) and the price they receive (the equilibrium price).

To determine the value of X at equilibrium, we need to find the point where the demand function and the supply function intersect.

Let's assume the demand function is represented by D(X) and the supply function is represented by S(X).

At equilibrium, the quantity demanded (D(X)) is equal to the quantity supplied (S(X)). This can be expressed as:

D(X) = S(X)

To find the value of X at equilibrium, we need to solve the equation D(X) = S(X) for X.

Once we find the value of X at equilibrium, we can substitute it into the demand or supply function to find the corresponding values of P (price).

To calculate consumer surplus at equilibrium, we need to find the area between the demand curve and the price line at the equilibrium price. This represents the difference between what consumers are willing to pay (based on the demand curve) and what they actually pay (the equilibrium price).

Similarly, to calculate producer surplus at equilibrium, we need to find the area between the price line and the supply curve at the equilibrium price. This represents the difference between the cost of production for producers (based on the supply curve) and the price they receive (the equilibrium price).

Without the specific equations for the demand and supply functions or additional information, it is not possible to provide the exact values for X at equilibrium, P at equilibrium, consumer surplus at equilibrium, and producer surplus at equilibrium. These values would depend on the specific demand and supply functions and their intersection point.

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Answer:

x=8c

or

x=8

Step-by-step explanation:

Hope that helps :)

Answer:

A. 35

Step-by-step explanation:

√35 = 5.9160797830996160425673282915616170484155012307943403228797196691

Answer: √35

Plz mark brainliest ;)

Answer: -2.5t+30

Step-by-step explanation:

I just did it

Answer:

(8,2)

Step-by-step explanation:

Reflecting over y=x means that

\((x,y) \longrightarrow (y,x)\)

Using this rule, (2,8) maps onto (8,2).

The image of (2,8) after a reflection over the line y=x is (8,2)

Coordinates of point is given as (2,8) and it is required to find the Coordinates of reflection of given point about line y = x.

What is reflection in coordinate geometry ?

reflection represents the flip or mirror image of transformation about the given axis.

thus to find the mirror image of (2,8) about y = x replace the position of coordinates with each other i.e. the value of x becomes y and value of y becomes x (8,2). Graphical representation is given below.

Therefore, The image of (2,8) after a reflection over the line y=x is (8,2).

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Answer:

24496

Step-by-step explanation:

40912 * (1-5%) ^10 = 24495.5

becuase they are humans, so round up to 24496