How do you write 0.048 as a percentage?

Write your answer using a percent sign (%).

Answers

Answer 1

Answer:

0.048 in %

Step-by-step explanation:

firstly: remove the decimal point

= 48/1000

secondly : Simplify

48/1000*100

=48/10

=4.8%


Related Questions

Given that the point (-24, 7) is on the terminal side of an angle, theta , find the exact value of the following: sin(θ)= cos(θ)= tan(θ)= csc(θ)= sec(θ)= cot(θ)=

Answers

Point (-24,7) on terminal side on angle theta having trigonometric ratio equals to,

sin(θ) = 7/25                       csc(θ) = 25/7

cos(θ) = -24/25                   sec(θ) = -25/24

tan(θ) = -7/24                      cot(θ) = -24/7

Values of the trigonometric functions for an angle θ.

In standard position with the given point (-24, 7) on its terminal side.

Hypotenuse of the right triangle formed by the angle and its terminal side using the Pythagorean theorem,

Hypotenuse = √((-24)^2 + 7^2)

⇒Hypotenuse = √(576 + 49)

⇒Hypotenuse = √(625)

⇒Hypotenuse = 25

Signs of the sine, cosine, tangent, cosecant, secant, and cotangent based on the quadrant in which the angle lies.

x-coordinate is negative and the y-coordinate is positive, the angle is in the second quadrant.

This implies,

sin(θ) = 7/25

cos(θ) = -24/25

tan(θ) = -7/24

csc(θ) = 25/7

sec(θ) = -25/24

cot(θ) = -24/7

cosecant, secant, and cotangent are the reciprocals of the corresponding sine, cosine, and tangent values.

Therefore, the exact values of trigonometric ratios for the given point are,

sin(θ) = 7/25                       csc(θ) = 25/7

cos(θ) = -24/25                   sec(θ) = -25/24

tan(θ) = -7/24                      cot(θ) = -24/7

learn more about point here

brainly.com/question/30465906

#SPJ4

Rewrite the ratio 6:21 as an equivalent ratio of the form 1:n

Answers

Answer:

1 : 3.5

Step-by-step explanation:

Rewrite the ratio 6:21 as 1 : n .

Divide each side by 6.

6/6 : 21/6

1 : 3.5

GUYS PLEASE HELP MATH!!

Answers

Answer:

4.3

Step-by-step explanation:

Consider the following figures. Determine the direction of the current in the current-carrying wire that produces the field indicated in the figure. (a) * * * * * * * * * * * Bin * O out of the screen O into the screen O toward the left toward the right toward the top of the screen toward the bottom of the screen (b) O out of the screen O into the screen O toward the left toward the right O toward the top of the screen toward the bottom of the screen (C) * * * * O out of the screen into the screen lower right to upper left lower left to upper right upper right to lower left upper left to lower right

Answers

The direction of the current in the current-carrying wire that produces the field indicated in the figure is given below.

Conventionally, a positive charge would go in the same direction as an electric current. As a result, the battery's positive terminal receives less current in the external circuit than its negative counterpart. Indeed, electrons would go in the reverse direction across the cables.

According to Fleming's right-hand rule gives which direction the current flows. The right hand is held with thumb, index finger & middle finger mutually perpendicular to each other. The thumb is pointed in direction of motion to magnetic field of conductor relative to magnetic field.

(A) from right hand rule direction of current is towards left.

(B) Out of the Screen.

(C) Lower left to upper right.

According to Fleming's Right Hand Rule, if the thumb, forefinger, and middle finger are arranged in a straight line on the right hand, the thumb will point in the direction of the conductor's motion in relation to the magnetic field, the forefinger will point in the direction of the magnetic field, and the middle finger will point in the direction of the induced current.

Learn more about direction of the current :

https://brainly.com/question/15912115

#SPJ4

Expand and simplify completely
[tex]x(x+(1+x)+2x)-3(x^2-x+2)[/tex]

Answers

Answer:

x²  + 4x - 6

Step-by-step explanation:

x(x + (1 + x) + 2x) - 3(x² - x + 2) ← simplify parenthesis on left

= x(x + 1 + x + 2x)  - 3(x² - x + 2)

= x(4x + 1) - 3(x² - x + 2) ← distribute parenthesis

= 4x² + x - 3x² + 3x- 6 ← collect like terms

= x² + 4x - 6


The Coefficient of the second term in the expansion of (1+2x)" in acending powers of x is 40. Find the values of n.​

Answers

The value of n for the ascending powers of x is found to be 20.

Explain about the expansion function?

A series expansion is just a representation of a specific function as the sum of powers in a single of its variables or by the sum of powers of this other function, typically an elementary one.

For several popular functions, we give series expansions (most Maclaurin, most Laurent, and some Puiseux). The above-mentioned equation for Taylor's series can be thought of to be the expansion of f(x+h) around the origin x. A function f(x) is frequently expanded around the point x = 0.

Using the expansion of the function-

ⁿC₁= (n!)/(n – 1)!1! = (n(n – 1)!)/(n – 1)!1!= n/1!= n.

(1 + 2x)ⁿ= ⁿC₀(1)ⁿ ⁻ ⁰(2x)⁰ + ⁿC₁(1)ⁿ ⁻ ¹(2x)¹ + ...

            = 1 + n(1)(2x) + ...

(1 + 2x)ⁿ  = 1 + 2nx + ...

Now,

The second term is 2nx.

2n= 40

n = 40/2= 20.

Thus, the value of n for the ascending powers of x is found to be 20.

Know more about the expansion function

https://brainly.com/question/28219698

#SPJ1

how many eggs are in a half dozen​

Answers

Answer:

6

Step-by-step explanation:

We know that a dozen is the value of 12 so to find half a dozen we simply need to half it!

12 ÷ 2 = 6

This means that there are 6 eggs in a half dozen.

FUN FACT:

A baker's dozen is 13, one more than a regular dozen!

Hope this helps, have a lovely day!

Two angles of a quadrilateral measure 252° and 63°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?

Answers

The sum of the interior angles of a quadrilateral is 360°. We can use this fact to find the measures of the other two angles.

Let x be the measure of one of the two angles in the 2:3 ratio. Then, the measure of the other angle is 3x (since the two angles are in a ratio of 2:3).

We know that:

252° + 63° + 2x + 3x = 360°

Simplifying this equation, we get:

5x + 315° = 360°

5x = 45°

X= 9°

Therefore, one of the angles has a measure of 2x = 18°, and the other angle has a measure of 3x = 27°.

Answer:

The 4 angles of the quadrilateral are : 252, 63, 18 and 27

Step-by-step explanation:

252 + 63 + 2x + 3x = 360

315 + 5x = 360

5x = 45 ( 360-315 )

x = 9

Therefore, 1st angle = 2x = 18

2nd angle = 3x = 27

A candy store owner used a cylindrical wooden log as a bench in their store. The height
of that log was 2
feet. The diameter of its base was 1.25
feet. If it costs $7.20
per square foot to paint that log at every side, how much approximately will it cost the
store owner? The total surface area of the right circular cylinder is 2nrh+2rr2
, where, r
is the radius of the base of the cylinder and, h
is the height of the cylinder

Answers

Answer:

Step-by-step explanation:

its 60

What is these two answers? Can you help me to solve this question?

Answers

Answer:

258 m/s

250 m/s

Step-by-step explanation:

s = 2t³

s(5) = 2(5)³ = 250

s(8) = 2(8)³ = 1024

average = (s(8) - s(5))/(8 - 5) = (1024 - 250)/3 = 258 m/s

s(5) = 2(5)³ = 250 m/s

Graph the function to find the zeros. Rewrite the function with the polynomial in factored form.
y=x²+x-2
The zeros of the function are ? .

Answers

Therefore , the solution of the given problem of function comes out to be  the zeros of the function y = x² + x - 2 are x = -2 and x = 1, and the polynomial in factored form is y = (x + 2)(x - 1).

What is function?

All of the subjects, including actual and fictitious locales and arithmetic variable design, will be covered in the midterm exam questions. a schematic illustrating the connections between various components that work together to produce the same outcome. A service is made up of many unique parts that work together to produce unique outcomes for each input. Every postbox has a specific location that could serve as a refuge.

Here,

We can draw points for different values of x and y to graph the function => y = x² + x- 2:

|x| |y=x²+x-2|

|---|-----------|

|-3 | 4 |

|-2 | 0 |

|-1 | -2 |

|0 | -2 |

|1 | 0 |

|2 | 6 |

|3 | 12 |

We can use the elements in the table above to plot them on a graph and link them to create a parabolic shape.

We can search for the values of x where the function y = 0 to determine the function's zeros.

Using the zeros we discovered, we can recast the function as the polynomial in factored form is:

=> y = (x + 2)(x - 1)

Therefore, the zeros of the function y = x² + x - 2 are x = -2 and x = 1, and the polynomial in factored form is y = (x + 2)(x - 1).

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

Find the volume of the solid.
3 in
8 in
8 in
7 in
15 in

Answers

Answer:

Volume = length x width x height

3 in x 8 in x 8 in = 192 cubic inches

Multiply fraction or mixed number by a whole number 3 x 3/5

Answers

Answer:

To multiply a whole number and a fraction, we can simply multiply the whole number with the numerator of the fraction and keep the denominator the same.

So, 3 x 3/5 = (3 x 3)/5 = 9/5

Therefore, 3 x 3/5 = 9/5.

Answer:

Step-by-step explanation:

9x/5

please help me with i’ll give you brainlist

Answers

The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median.

What is whisker plot?

A whisker plot, also known as a box and whisker plot, is a graphical representation of a set of numerical data through their quartiles. The plot consists of a box with whiskers extending from the top and bottom, showing the spread and distribution of the data. The five-number summary, which includes the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value, is used to create the whisker plot.

Here,

To create a box and whisker plot, we need to find the five-number summary of the data set, which includes:

Minimum value: the smallest value in the data set.

First quartile (Q1): the median of the lower half of the data set.

Median: the middle value in the data set.

Third quartile (Q3): the median of the upper half of the data set.

Maximum value: the largest value in the data set.

First, we need to put the data in order:

10, 12, 14, 15, 16, 18, 22, 24, 25, 28

The minimum value is 10 and the maximum value is 28.

The median is the middle value, which is 18.

To find the first quartile, we need to find the median of the lower half of the data set, which is:

10, 12, 14, 15, 16

The median of this lower half is 14.

To find the third quartile, we need to find the median of the upper half of the data set, which is:

22, 24, 25, 28

The median of this upper half is 24.

So, the five-number summary for this data set is:

Minimum value = 10

First quartile (Q1) = 14

Median = 18

Third quartile (Q3) = 24

Maximum value = 28

Now we can use this information to create the box and whisker plot:

      |          |      

 ----+----+----+----+----

    10   14   18   24   28

The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median. The whiskers extend from the box to the minimum and maximum values in the data set.

To know more about whisker plot,

https://brainly.com/question/2742784

#SPJ1

10 of 1710 of 17 Questions


















Question
Katherine bought 312
pounds of oranges for $1.45
per pound, as well as 434
pounds of potatoes that cost $1.69
for 2
pounds. She gives the cashier a $10.00
bill.

Which equation represents the situation if x
is the amount of change in dollars Katherine should receive?

A 312(1.45)+434(1.69)+x=10
3 and 1 half times 1 point 4 5 plus 4 and 3 fourths times 1 point 6 9 plus x is equal to 10

B 312(1.45)+434(1.692)+x=10
3 and 1 half times 1 point 4 5 plus 4 and 3 fourths times open paren 1 point 6 9 over 2 close paren plus x is equal to 10

C 312(1.45)+434(1.692)−x=10
3 and 1 half times 1 point 4 5 plus 4 and 3 fourths times open paren 1 point 6 9 over 2 close paren minus x is equal to 10

D (312+434)⋅(1.45+1.69)+x=10
HELP ME I WILL GIVE BRAINLIEST

Answers

Answer:

6)-56+567)-/(05(-)9

Step-by-step explanation:

Question

Katherine bought 312

pounds of oranges for $1.45

per pound, as well as 434

pounds of potatoes that cost $1.69

for 2

pounds. She gives the cashier a $10.00

bill.

Which equation represents the situation if x

is the amount of change in dollars Katherine should receive?

A 312(1.45)+434(1.69)+x=10

3 and 1 half times 1 point 4 5 plus 4 and 3 fourths times 1 point 6 9 plus x is equal to 10

B 312(1.45)+434(1.692)+x=10

3 and 1 half times 1 point 4 5 plus 4 and 3 fourths times open paren 1 point 6 9 over 2 close paren plus x is equal to 10

C 312(1.45)+434(1.692)−x=10

3 and 1 half times 1 point 4 5 plus 4 and 3 fourths times open paren 1 point 6 9 over 2 close paren minus x is equal to 10

D (312+434)⋅(1.45+1.69)+x=10

HELP ME I WILL GIVE BRAINLIEST

Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ = 100.0 and a = 15.0. A random sample of 53 people is taken.
Step 1 of 2: What is the probability of a random person on the street having an IQ score of less than 99? Round your answer
to 4 decimal places, if necessary.

Answers

The probability that a stranger on the street has an IQ below 98 is 0.4470, or 44.70%.

What is Probability?

Probability is the concept that describes the likelihood of an event occurring.

In real life, we frequently have to make predictions about how things will turn out.

We may be aware of the result of an occurrence or not.

When this occurs, we state that there is a possibility that the event will occur.

In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence

The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.

According to our question-

z= x-a/u

98-100/15

Hence, A chance of a random individual on the street having an IQ below 98 is 0.4470, or 44.70%.

learn more about probability click here:

brainly.com/question/13604758

#SPJ1

Represent each number line by an inequality.


HELP PLS

Answers

The inequalities that the given number line represents are:

(A) x > 8

(B) x -4

What is inequality?

A connection that compares two numbers or other mathematical expressions inequitably is known as an inequality in mathematics.

On the number line, size comparisons between two numbers are typically conducted.

The outcome is (x/a) > (y/a) when x > Y and a > 0, and (x/a) (y/a) when x Y and a > 0.

The division of both sides of an inequality by a negative integer, on the other hand, produces an analogous inequality if the inequality sign is inverted.

So, the inequality that the given number line represents:

(A) x > 8 is the inequality in the first equation.

(B) Given that the second graph is a dot, the inequality for it is x -4.

Therefore, the inequalities that the given number line represents are:

(A) x > 8

(B) x -4

Know more about inequality here:

https://brainly.com/question/24372553

#SPJ1

Try it A rectangular prism and a cylinder both have a height of m, and their cross-sectional areas are equal at every level parallel to their respective bases. 8 m 1 5 m x 3m​

Answers

The volume of the prism is equal to 40x m³.

The volume of the cylinder is equal to 72π m³.

The value of x to the nearest tenth is equal to 5.7 meters.

How to calculate the volume of a rectangular prism?

Mathematically, the volume of a rectangular prism can be calculated by using this formula:

Volume = L × W × H

Where:

L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.

Substituting the given parameters into the formula for the volume of a rectangular prism, we have;

Volume of a rectangular prism, V = 5 × x × 8

Volume of a rectangular prism, V = 40x m³.

For the volume of the cylinder, we have:

Volume of a cylinder, V = πr²h

Volume of a cylinder, V = π × 3² × 8

Volume of a cylinder, V = 72π m³.

Next, we would solve for x;

40x = 72π

40x = 226.1947

x = 226.1947/40

x = 5.7 meters.

Read more on cylinder here: brainly.com/question/14060443

#SPJ1

Complete Question:

Rectangular prism and a cylinder both have a height of 8 m, and their cross-sectional areas are equal at every level parallel to their respective bases.

A rectangular prism and a cylinder both have a height of 8 meters. The rectangle has base dimensions of 5 meters by x. The cylinder has a radius of 3 meters.

Complete the steps to find the width of the prism.

Find the volume of the prism.

V = m3

Find the volume of the cylinder.

V = m3

Set the volumes equal to each other and solve for x. Round to the nearest tenth.

x = m

find a polynomial function with the following zeros: double zero at -4 simple zero at 3.

Answers

f(x) = (x+4)^2(x-3) has polynomial function with the following zeros: double zero at -4 simple zero at 3.

If a polynomial has a double zero at -4, it means that it can be factored as (x+4)^2.

If it also has a simple zero at 3, then the factorization must include (x-3).

Therefore, the polynomial function with these zeros is :-

f(x) = (x+4)^2(x-3)

This polynomial has a double zero at -4, because $(x+4)^2$ has a zero of order 2 at -4, and a simple zero at 3, because $(x-3)$ has a zero of order 1 at 3.

To know more about polynomial-

brainly.com/question/11536910

#SPJ4

the number can be rewritten without a radical in the denominator by multiplying the numerator and denominator by

Answers

To rewrite a number with a radical in the denominator without the radical, we can use the conjugate of the denominator. The conjugate of a binomial expression a + b is a - b, and the conjugate of a - b is a + b.

Suppose we have a number with a radical in the denominator, such as 1/√2. To rewrite this without the radical, we multiply the numerator and denominator by the conjugate of the denominator, which is

√2: 1/√2 = (1/√2) * (√2/√2) = √2/2

Note that the product of the denominator and its conjugate is always a difference of squares, which can be simplified to an integer without a radical.

To know more about denominator, here

brainly.com/question/7067665

#SPJ4

in exploration 4.5.3 question 7, what is the magnitude of the the sum of the forces? (round your answer to the nearest tenth).\

Answers

Because the resultant is the closing side of the triangle according to the triangle law of vector addition, the resultant vector's magnitude would be 13.93 metres.

A vector quantity is what?

The vector quantities are those that include both the direction and the magnitude of the quantities.

The vector quantities include things like force, acceleration, and displacement.

Scalar quantities only have the magnitude of the quantity measured; they do not have information about the direction.

The triangle law of vector addition can be used to calculate the resultant vector.

Using the right-angled triangle's Pythagoras theorem

[tex]Base^{2} + Height^{2} = Resultant^{2}[/tex]

[tex]132 + 52 = Resultant^{2}[/tex]

Outcome 2 = 194

The outcome is 194

=13.93 m

According to the triangle law of vector addition, the resultant vector would have a magnitude of 13.93 metres since it is the triangle's closing side.

To know more about vector quantities, click the below link

brainly.com/question/15516363

#SPJ4

THE FIRST ANSWER GETS BRAINLIEST AND FIVE STARS!


Parallelogram ABCD is a rhombus with measure EBC = 36. What is the measure of DAE?

picture below

Answers

Answer:

54°

Step-by-step explanation:

AB = BC = CD = AD (Because all sides of a rhombus are equal)

Let's consider the triangle DBC:

BC = DC => ∠DBC = 36°

The angle DCB is equal to:

180° - 36*2 = 180° - 72° = 108°

In a parallelogram, opposite angles are equal.

Then the angle DAB = DCB = 108°

Also, we know that the diagonals of a rhombus are the bisectors of the angles from which they come.

So, the angle DAE = EAB = 108° / 2 = 54°

<
You might need: Calculator, Z table
Suppose that 15% of the 1750 students at a school have experienced
extreme levels of stress during the past month. A high school newspaper
doesn't know this figure, but they are curious what it is, so they decide to
ask a simple random sample of 160 students if they have experienced
extreme levels of stress during the past month. Subsequently, they find
that 10% of the sample replied "yes" to the question.
Assuming the true proportion is 15%, what is the approximate probability
that more than 10% of the sample would report that they experienced
extreme levels of stress during the past month?

Answers

The approximate probability that more than 10% of the sample would report that they experienced extreme levels of stress during the past month, obtained using the z-score for the proportion of the sample, and the standard error, is about 96.327%

What is the z-score of a proportion?

The z-score of a sample proportion, z can be obtained using the formula;

z = (p - π)/√(π·(1 - π)/n)

Where;

p = The sample proportion

π = The proportion of the population

n = The sample size

The percentage of the students out of the 1750 students that experienced extreme levels of stress in the school, p = 15%

The number of students in the sample used by the newspaper, n = 160 students

The number of students in the sample that replied "yes" = 10%

The true proportion of the students that experience stress = 15%

The probability that ,more than 10% of the sample would report that they experienced extreme levels of stress during the past month can be found as follows;

The standard error is; SE = √(p × (1 - p)/n)

Therefore;

SE = √(0.15 × (1 - 0.15)/160) ≈ 0.028

The z-score is therefore;

z = (0.1 - 0.15)/0.028 ≈ -1.79

z = -1.79

The z-score indicates the number of standard deviations the proportion of the sample is from the true proportion

The proportion on the of the sample which is larger than 10% is obtained from the area under the normal curve, to the right of the z-score of -1.79, which is obtained as follows;

The z-value at z = -1.79 is 0.03673, which indicates that the area to the left of the z-value is 0.03673, and the area to the right is; (1 - 0.03673) = 0.96327

The probability observing a sample proportion more than 10% if the actual proportion is 15% is therefore; 0.96327 = 96.327%

Learn more on the standard error of a sampling distribution here: https://brainly.com/question/14467769

#SPJ1

A cube of sugar is 2cm wide. Calculate the number of cube in a box 720cm³​

Answers

Answer:

90 cubes in the box.

Step-by-step explanation:

To find how many cubes would fit into the box, first we must find the volume of each cube. 2cm x 2cm x 2cm= 8 cubic centimeters. The entire volume of the box is 720 cubic centimeters, so we can divide 720 by 8.

720/8=90

90 cubes can fit into the box.

Answer: 90

Step-by-step explanation:

First, we need to calculate the volume of one cube of sugar:

V = s³, where s is the side length of the cube

V = 2³ = 8 cm³

To find the number of cubes that can fit in a box of 720 cm³, we need to divide the volume of the box by the volume of one cube:

720 cm³ ÷ 8 cm³/cube = 90 cubes

Therefore, 90 cubes of sugar can fit in a box with a volume of 720 cm³.

How many 3/4 are in 2?

Answers

Answer:

Step-by-step explanation:

Because we want to know how many three-fourths there are, we have to make groups of 3 fourths, or divide the number of fourths we have by 3. So there are (2\times 4)\div 3 = 8\div 3 = 2 \fraction three-fourths in 2.

Use linear regression to find the equation for the linear function that best fits this data. Round both numbers to two decimal places. Write your final answer in a form of an equation y = mx + b.
x 1 2 3 4 5 6
y 102 114 131 152 176 206

Answers

Using linear regression on the given data the equation we got in the form of y =mx + c is y = 243x - 16.50

What is linear regression?

Linear regression analysis is used to predict the value of a variable based on the value of another variable. The variable you want to predict is called the dependent variable. The variable you are using to predict the other variable's value is called the independent variable.

To find the equation for the linear function that best fits the given data, we can use linear regression. Using a calculator or software, we can find the following:

The mean of x is 3.5 and the mean of y is 150.

The variance of x is 2.5 and the variance of y is 2203.5.

The covariance of x and y is 607.5.

Using these values, we can calculate the slope of the regression line:

m = covariance of x and y / variance of x = 607.5 / 2.5 = 243

We can also calculate the y-intercept of the regression line:

b = mean of y - m * mean of x = 150 - 243 * 3.5 = -16.5

Therefore, the equation for the linear function that best fits the given data is:

y = 243x - 16.5

Rounding both numbers to two decimal places, we get:

y = 243x - 16.50

Learn more about linear regression on:

https://brainly.com/question/25987747

#SPJ1

Using linear regression on the given data the equation we got in the form of y =mx + c is y = 243x - 16.50

What is linear regression?

A variable's value can be predicted using linear regression analysis based on the value of another variable. The dependent variable is the one you want to be able to forecast. The independent variable is the one you're using to make a prediction about the value of the other variable.

To find the equation for the linear function that best fits the given data, we can use linear regression. Using a calculator or software, we can find the following:

The mean of x is 3.5 and the mean of y is 150.

The variance of x is 2.5 and the variance of y is 2203.5.

The covariance of x and y is 607.5.

Using these values, we can calculate the slope of the regression line:

m = covariance of x and y / variance of x = 607.5 / 2.5 = 243

We can also calculate the y-intercept of the regression line:

b = mean of y - m * mean of x = 150 - 243 * 3.5 = -16.5

Therefore, the equation for the linear function that best fits the given data is:

y = 243x - 16.5

Rounding both numbers to two decimal places, we get:

y = 243x - 16.50

Learn more about linear regression on:

https://brainly.com/question/25987747

#SPJ1

54.2 consider the competing species model, equaltion 54.1 sketch the phase plane and the trajectories of both population

Answers

To sketch the phase plane and trajectories of both populations in the competing species model, plot the population of one species on the x-axis and the population of the other species on the y-axis. Then, plot the isoclines and use them to determine the direction and stability of the population trajectories.

The competing species model is a system of two differential equations that describe the population dynamics of two species competing for the same resources. To sketch the phase plane and trajectories, plot the population of one species on the x-axis and the population of the other species on the y-axis. Then, plot the isoclines, which are curves that represent the values of one species' population at which the other species' population does not change.

The isoclines are found by setting each differential equation to zero and solving for one population in terms of the other. For example, the isocline for species 1 is found by setting dN1/dt = 0 and solving for N2. The resulting equation gives the values of N2 at which the population of species 1 does not change. Plotting these curves on the phase plane divides it into regions where the population of each species increases or decreases.

The direction and stability of the population trajectories can be determined by analyzing the slope of the vector field, which represents the rate of change of the population at each point in the phase plane. Trajectories move in the direction of the vector field, and their stability depends on the curvature of the isoclines. If the isoclines intersect at a single point, it is a stable equilibrium where both populations coexist. If they intersect at multiple points, the stable equilibrium depends on the initial conditions of the populations. If they do not intersect, one species will eventually drive the other to extinction.

To know more on competing species model

https://brainly.com/question/15100592

#SPJ4

--The question is incomplete, answering to the question below--

"Consider the competing species model, how to sketch the phase plane and the trajectories of both population"

Question 6 (2 points)
A wire costs $3 per foot. How much will 18 inches of wire cost?
$1.50
$3.00
$4.50
$9

Answers

It’s 4 dollars and 50 cents

Answer:

$4.50

Step-by-step explanation:

There are 12 inches in a foot. 18 inches is 1.5 feet.

1 foot of wire is $3.00 and a half of foot should be $1.50.

1.5 feet of wire should cost $4.50

1.5 ft × $3/ft

= $4.50

A gray squirrel population was introduced in a certain region 18 years ago. Biologists observe that the population doubles every six years, and now the population is 600. a) What was the initial squirrel population? b) What is the expected squirrel population t years after introduction? c) Estimate the expected squirrel population 10 years from now.

Answers

The initial squirrel population was 75. The squirrel population t years in an equation can be determined as P(t) = 75 * 2^(t/6). The expected squirrel population 10 years from now is 261.80.

A. Let  initial squirrel population = x

It is given that the population doubles every six years.

so after 18 years, the population has doubled three times. So, the equation will be:

x * 2^3 = 60

x * 8 = 600

x = 75

The initial squirrel population was 75.

B.  Let squirrel population t years = P(t)  

It is given that the population doubles every six years, then the equation will be written as:

P(t) = 75 * 2^(t/6)

C. To calculate the estimation of squirrel population 10 years from now,

t = 10 can be substituted in the above equation.

P(10) = 75 * 2^(10/6)

P(10) =  261.80

Therefore,  we can conclude that the expected squirrel population 10 years from now is 261.80.

To learn more about population estimation

https://brainly.com/question/30509475

#SPJ4

If
f(x) = 2x² + 3x - 6, determine the value of f(2).

Answers

Answer:

8

Step-by-step explanation:

2x² + 3x - 6

plug in x with 2

2(2)^2+3(2)-6

2(4)+6-6

8+6-6

14-6

8

Other Questions
Why all of the expected structures were not observable what does two check marks mean on a text message on android based on the text why was it important for gibosn to compete in tennis tournaments outside of the Ata tournaments? When staining endospores, the outer layers of the endospore must be penetrated with ____ to force dyes inside the endospore. A) UV light B) Any of these can be used to penetrate the endospore C) acidic pH D) heat Gas G1 G2 G3 G4 2am/mol2) L/mol) 0.0289 0.0388 0.0467 0.0310 2 5.22 1.05 2.31 4.05 Based on the given van der Waals constants for four hypothetical gases (G1, G2, G3, G4), arrange these hypothetical gases in order of decreasing strength of intermolecular forces. Assume that the gases have similar molar masses.Rank from strongest to weakest intermolecular attraction. To rank items as equivalent, overlap them.Gas 3, Gas 2, Gas 1, Gas 4 Find the center of mass of a thin plate of constant density delta covering the given region. The region bounded by the parabola y = 3x - x^2 and the line y = -3x The center of mass is. (Type an ordered pair.) What does the fates lead the willing and drag the unwilling mean? Which of the following are things to avoid during this column chromatography experiment? Choose all that apply. Which of the following is false?A. The distribution of areas of houses in Ames is unimodal and right-skewed.B. 50% of houses in Ames are smaller than 1,499.69 square feet.C. The middle 50% of the houses range between approximately 1,126 square feet and 1,742.7 square feet.D. The IQR is approximately 616.7 square feet.E. The smallest house is 334 square feet and the largest is 5,642 square feet Identified by Schein Authority, responsibility, and delegation Without this, the organization begins to drift and become disorganized Individuals do make a difference, but they cannot do everything themselves Coordinated effort This results in greater efficiency Division of labor Without the right to direct the work of others, there is no coordination of effort Centralization vs. decentralization Span of control Additional Elements Most Agree Upon Hierarchy of authority This is linked with whether the structure is taller or flatter Common purpose This has to do with having the rights associated with managerial tasks This is related to who makes important decisions in the organization Reset Prey 1 of 8 !!! an article states that people who drank alcohol frequently wer 2.4 times more likely to develop Seaside Company uses the weighted-average method in its process costing system. The Sanding Department started the month with 8,000 units in its beginning work-in-process inventory that were 70% complete with respect to conversion costs. An additional 69,000 units were transferred in from the prior department during the month to begin processing in the Sanding Department. There were 5,000 units in the ending work-in-process inventory of the Sanding Department that were 20% complete with respect to conversion costs.What were the equivalent units for conversion costs in the Sanding Department for the month?A) 67,400.B) 73,000.C) 72,000.D) 66,000. what country never formally joined the axis powers but formed an alliance with germany? The radius of a cylinder is (3x-2cm). The height of the cylinder is (x+3cm). What is the surface area of the cylinder? Use the formula A=2\pi r^(2)+2\pi rh. Which level of range of motion assistance is the most assistive? During what stage of photosynthesis is O2 produced?A cyclic photophosphorylationB the light-dependent reactions involving photosystems I and IIC carbon fixationD the Krebs cycle Select the description of sensitivity analysis and how the advent of electronic spreadsheets has affected its use.A) Sensitivity analysis is the "what-if " techniques that managers use to examine how an outcome will change if the original predicted data are not achieved or if an underlying assumption changes. The advent of the electronic spreadsheets has greatly increased the ability to explore the effect of alternative assumptions but come at a much higher cost to companies.B) sensitivity analysis is the difference between the selling price and variable cost per unit. The advent of the electronic spreadsheet has greatly increased the ability to explore the effect of alternative assumptions at minimal cost.C) Sensitivity analysis measures how much a company can change for its products over and above the cost of acquiring or producing them. The assumptions and is more expensive than previous.D) Sensitivity analysis is the "what-if" technique that managers use to examine how an outcome will change if the original predicted data are not achieved or if an underlying assumption changes. The advent of the electronic spreadsheet has greatly increased the ability to explore the effect of alternative assumptions at minimal cost. The variable s represents the number of students in one class in your school. What does 1/2s represent? A small business has one team that installs new swimming pools and four employees that clean and maintain pools. Which of the following is a service that is provided by this business to its customers? a. the employees who clean and maintain poolsb. the new swimming poolsc. the team that installs the new poolsd. pool cleaning Which nations adopted a fascist system of government before World War II?Italy Germanyboth of italy and germany