At his last track meet, kenneth ran the 400-meter dash in 54 seconds. his friend madelyn bet him that he couldn't run a whole kilometer at that pace, but kenneth is determined to prove her wrong. how many minutes would he have to run at this pace to win the bet? write your answer as a whole number, decimal, or simplified fraction. do not round.

Step-by-step explanation:

the answer to the question is letter D.

Wolves absence would lead the rabbit population to become stable at 5,000.

Step 1. Concept

If there is a missing variable that should be in the system, set that particular variable to zero and make the necessary conclusion.

Step 2. Given,

dR/dt = 0.08R(1 - 0.00032R) - 0.001RW

dW/dt = −0.02W + 0.00002RW

Step 3. Calculation

The transformed equations of populations of rabbit and wolves will be

dR/dt = 0.08R(1 - 000.2R) - 0.001RW

dW/dt = −0.02W + 0.00002RW

Let's check the rabbit population in the absence of wolves(W) to 0

Thus,

Differential equation dR/dt

dR/dt = 0.08R(1 - 000.2R) - 0.001RW

Take W to equal to O

dR/dt = 0.08R(1 - 000.2R) - 0.001R(0)

dR/dt = 0.08R(1 - 000.2R)

When,

dR/dt = 0 we have R = 0 or R = 5,000

This,

R = 5,000 becomes the equilibrium point in the absence of wolves

Then,

0 < R < 5,000, dR/dt > 0

For R, let's estimate a value rise of the rabbit population to 5,000

Then,

R > 5,000, dR/dt < 0

Judging from the value if R, we infer a deduction in the rabbit population by 5,000

Thus,

We can conclude that wolves absence would lead the rabbit population to become stable at 5,000.

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Answer:

Step-by-step explanation:

\( \sf{2(6x - 1) = - 38}\)

Distribute 2 through the parentheses

⇒\( \sf{12x - 2 = - 38}\)

Move constant to right hand side and change it's sign

⇒\( \sf{12x = - 38 + 2}\)

Calculate

⇒\( \sf{12x = - 36}\)

Divide both sides of the equation by 12

⇒\( \sf{ \frac{12x}{12} = \frac{ - 36}{12} }\)

Calculate

⇒\( \sf{x = - 3}\)

Hope I helped!

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Answer:

D.) a(n) = 4 * (1/3)^(n-1)

Step-by-step explanation:

a(1) = 1/3 * a(1-1) = 1/3 * a(0) = 4, so that

1/3 * a(0) = 4

a(0) = 12.

Answer choice D.) is such that a(0) = 4 (1/3)^(0-1) = 4*(1/3)^(-1) = 4 * 3 = 12, and assuming that the problem is well posed (i.e., exactly one of the answer choices is correct), we deduce that D.) is the correct answer choice.

Answer:

i am sorry i don't know but i will try to find the answers as soon as possible i am sorry

Answer:

n = 2

Step-by-step explanation:

Here, we want to write the simplified form of the equation given in the question.

Firstly, we write the equation in an equation form:

4/5n -1/5 = 2/5n

5n(4/5n -1/5) = 2/5n(5n)

(4/5n * 5n) -(1/5)(5n) = 2

4- n = 2

n =4-2

n = 2

Answer:

The answer that I got was n=2

Step-by-step explanation:

The given velocity components are:

u = 2xt - 3xyz + 4xyw = 3x - 5yzt + yz

To satisfy the continuity equation, the third velocity component must be of the form

v = -ux - wy

Thus,v = -2xt + 3xyz - 4xy (from u)v = -3x + 5yz t - yz (from w)

The third velocity component

v = -2xt + 3xyz - 4xy - 3x + 5yz t - yz

= -2xt + 3xyz - 4xy - 3x + 5yz (t - 1)

The velocity of the fluid particle is given by,

v = (u, v, w) = (2t, -2t + 3z, 3 - 5zt + y)at (1, 0, 1) and t = 1 (last digit),v = (2, -2, -2)

The acceleration of the fluid particle is given by,

a = (at, av, aw)

= (∂u/∂t, ∂v/∂t, ∂w/∂t)at (1, 0, 1) and t = 1 (last digit),a = (2, 3, -5)

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If you doubled a penny every day, you would have $5,368,709.12

You can see that the decision is rather straightforward: having a single penny that doubles every day for a month are preferable to receiving $1 million upfront. This is due to compound interest's strength.

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest.

It is thought that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a total more quickly than simple interest, which is solely calculated on the principal sum.

Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.

If I double this particular penny every day, I would have 30 extra pennies, plus my original one. I have $0.31 literal dollars

On day 30, if you doubled a penny every day, you would have $5,368,709.12.

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Answer:

The length of AB is 20 units

Step-by-step explanation:

The equilateral triangle is the triangle that has 3 equal sides and 3 equal angles, the measure of each angle is 60°

∵ All of the angles of triangle ABC measure 60 °

→ By using the fact above

∴ Triangle ABC is an equilateral triangle

→ That means its 3 sides are equal

∴ AB = BC = CA

∵ AB = 3x - 4

∵ BC = 4x - 12

∵ CA = 5x - 20

→ Equate 2 of them to find x

∵ BC = CA

∴ 5x - 20 = 4x - 12

→ Subtract 4x from both sides

∵ 5x - 4x - 20 = 4x - 4x - 12

∴ x - 20 = -12

→ Add 20 to both sides

∴ x - 20 + 20 = -12 + 20

∴ x = 8

→ To find AB substitute the value of x in its expression

∵ AB = 3x - 4

∴ AB = 3(8) - 4

∴ AB = 24 - 4

∴ AB = 20

∴ The length of AB is 20 units

Answer:

b

Step-by-step explanation:

rude people delete meh answers

rude the answer is b

thank u very much now i must b on my way

Answer:

Its B

Step-by-step explanation:

Because the first one is correct give the credit to her.

By using the formula for the distance between two points we will see that the distance between the two points is √80 is 8.9

The length of the line connecting two places represents the distance between them. Subtracting the different coordinates will reveal the distance if the two points are on the same horizontal or vertical line.

Learn how to apply the Pythagorean theorem to find the distance between two points using the distance formula. The Pythagorean theorem can be rewritten as d=(((x 2-x 1)2+(y 2-y 1)2) to calculate the separation between any two locations.

The general formula for the distance between two points (a, b) and (c, d) is:

Distance = √[(a-d)²+(b - c)²]

In this case, we have the points (-4,1) and (4,5), replacing that in the above formula we get:

Distance = √[(-4-4)²+(1-5)²]

= √80

=8.9

Therefore the distance between the two points (-4,1) and (4,5) is 8.9

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Answer:14 x 3 − 21 x 2 + 1

Step-by-step explanation:Im not 100% sure but i got it by a website

Answer:

Only 6 match your answer choices.

Step-by-step explanation:

Solve for x:

x^3 - 5 x^2 - 8 x + 12 = 0

The left-hand side factors into a product with three terms:

(x - 6) (x - 1) (x + 2) = 0

Split into three equations:

x - 6 = 0 or x - 1 = 0 or x + 2 = 0

Add 6 to both sides:

x = 6 or x - 1 = 0 or x + 2 = 0

Add 1 to both sides:

x = 6 or x = 1 or x + 2 = 0

Subtract 2 from both sides:

Answer: x = 6 or x = 1 or x = -2

A police officer wants to be equidistant from both streets. He should be on a perpendicular bisector. Therefore, option C is the correct answer

Given that, a police officer is parked in a supermarket parking lot located at the junction of two streets. He wants to be equidistant from both streets.

A perpendicular bisector is a line that bisects a line segment in two equal parts and makes an angle of 90° at the point of intersection. In other words, we can say that a perpendicular bisector divides a line segment at its midpoint making an angle of 90°.

A) Angle bisector: The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.

B) An altitude: Height, altitude, elevation mean vertical distance either between the top and bottom of something or between a base and something above it.

C) Perpendicular bisector: A line that bisects a line segment in two equal parts.

D) Median: The middle number; found by ordering all data points and picking out the one in the middle.

A police officer wants to be equidistant from both streets. He should be on a perpendicular bisector. Therefore, option C is the correct answer

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(D) the floor of a classroom is a perfect example of a line segment.

Therefore, (D) the floor of a classroom is a perfect example of a line segment.

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The correct form of the question is given below;
Which is an example of a line segment?

(A) the edge of a book

(B) the corner of a box

(C) a beam of light

(D) the floor of a classroom

Answer:

I wanna say in the year of 2018.

Step-by-step explanation:

In 2018 the population will reach 40 million.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let us consider x years later it would reach 40 million.

So, 39.1 + 0.35 x = 40

0.35x= 40- 39.1

0.35x= 0.9

x= 2.57

x= 3 years

Hence, In 2018 the population will reach 40 million.

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Answer:

n\(\geq\)8

Step-by-step explanation:

You add 4 to both sides to make n the only thing on one side. Then to make the answer look better you move n to the left side and flip the symbol because n changed sides.

\(4\leq n-4\\ 4+4\leq n-4+4\\ 8\leq n\\ n\geq 8\)

Answer:

The statement that best represents step 5 of Jeremy's proof is;

Explanation:

Given the statement 2 and 4 in the attached proof;

2.

Reason: definition of congruency.

4.

Reason: Transitive property of equality.

substituting statement 2 into statement 4, we will replace angle S with angle P and angle T with angle Q.

So, we will have;

5.

Reason: substitution property.

Therefore, the statement that best represents step 5 of Jeremy's proof is;

Answer:

The common ratio is 1/2

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

8/16 = 1/2

We can check by the third term by the second term

4/8 = 1/2

Answer:

1/2 for APX

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

By angle bisector property:

\( \frac{6}{x} = \frac{8}{4} \\ \\ \frac{6}{x} = 2 \\ \\ x = \frac{6}{2} \\ \\ x = 3\)

The value of given triangle of x is 3.

Angle bisector theorem states that an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle. An angle bisector is a ray that divides a given angle into two angles of equal measures.

We have the given triangle is:

The triangle is ABC

and divide into two parts.

Triangle ADC and Triangle CBD.

The value also given in the figure.

AB = 6

BC = 8

AD = x

DC = 4

We have to find the value of x:

By using the Angle bisector theorem :

\(\frac{AB}{AD} =\frac{BC}{DC}\)

Plug all the values in above formula:

\(\frac{6}{x}=\frac{8}{4}\)

=> 6/x = 2

x = 6/2

x= 3

The value of given triangle of x is 3

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Answer: The line that divides the plane into an area that is triangular and an area that is rectangular.

Answer:

C

Step-by-step explanation:

The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

The conditional probability is 3/8

From the question, we have

total number in bit string =16

let s be the set of all bit strings

number of strings =8

probability of selecting A

P(A)=8/16=1/2

P(A∩B)=3/16

the conditional probability is,

P(A∩B)/P(A)=3/16/1/2

=3/8

Probability:

Possibility is referred to as probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events. Probability generally refers to the degree to which something is likely to occur. This fundamental theory of probability, which also applies to the probability distribution, can help you comprehend the possible outcomes for a random experiment. Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is.

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method of least squares is  not a measure of central tendency which is not involved in the typical measures.

The central tendency of the dataset are defined as  three important measures namely mean, median and mode. The mean shows the average value of the dataset. which can be calculated as the sum of all the values in the dataset which are  divided by the number of values. and  it is considered as the arithmetic mean. Some  of the other measures of mean which is  used to find the central tendency are as mentioned as:

Geometric Mean , Harmonic Mean ,Weighted Mean.

Median is the middle value of the dataset in which the it  is arranged in the ascending order or in descending order. When the dataset  which contains an even number of values, then the median value of the dataset can be calculated by taking the mean of the middle two values.

The mode shows  the frequently occurring value in the dataset. Sometimes the dataset are arranged and which contain multiple modes and in some situations , it does not contain any mode at all.

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Answer:

125x^15

Step-by-step explanation:

Hope this helps! :)

The equation of a line that passes through the point (5,-1) and is parallel to the line y=2x-4 will be y=2x-11.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

It is given that,  

y=2x-4

We have to write an equation of a line that passes through the point (5,-1) and is parallel to the line y=2x-4.

The slope of the given equation,

y=2x-4

m=2

The slope of the parallel lines is equal,

m=2

The equation of a line that passes through the point (5,-1) with slope 2 is,

y-y₁=m(x-x₁)

y-(-1)=2(x-5)

y+1=2(x-5)

y+1=2x-10

y=2x-11

Thus, the equation of a line that passes through the point (5,-1) and is parallel to the line y=2x-4 will be y=2x-11.

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