a biologist studying florida bass observed a quadratic relationship between the lengths and weights of fish in a large sample. the biologist took the base 101010 logarithm for the values of both variables, and they noticed a linear relationship in the transformed data. here's the least-squares regression equation for the transformed data, where weight is in kilograms and length is in centimeters. \widehat{\log(\text{weight})}

The actual distance between city c and city d represented by 2.38 feet on the map as required in the task content is; 700 miles.

It follows from the task content that the actual distance between city c and city d be determined according to the map's scale factor given.

It follows from the task content that the distance between cities a and b which is 500 miles is represented by 1.7 feet on the map;

1.7 feet ===== 500 miles

Hence, let x = the actual distance between the cities c and d represented by 2.38 on the map is; so that we have;

1.7 feet ====== 500 miles

2.38 feet ====== x miles.

x = (500 × 2.38)/1.7

x = 700 miles.

Therefore, the actual distance between the two cities c and d is; 700 miles.

Read more on ratios and proportions;

https://brainly.com/question/12024093

#SPJ1

Given:

Because the dividend is the same for all three expressions the larger the divisor the__the quotient

the answer will be: smaller or least

The sloth speed of running is 10/3 meters per minute

Distance travelled = 1/3 meters

Time taken to travel the distance = 1/10 minute

The formula for speed is given:

The distance travelled in a unit of time is called speed. It refers to a thing's rate of movement. The scalar quantity known as speed is the velocity vector's magnitude. It has no clear direction. A faster rate of movement is indicated by a higher speed. It is travelling more slowly if the speed is lower.

Speed = Distance/ Time

Speed of the sloth = (1/3)/(1/10)

= 1/3*10/1

= 10/3 meters per minute

Learn more about speed:

https://brainly.com/question/7359669

#SPJ1

Answer: -7, -11

Step-by-step explanation:

[tex]5|x+9| \leq 10\\\\|x+9| \leq 2\\\\-2 \leq x+9 \leq 2\\\\-11 \leq x \leq -7[/tex]

Answer:

x∈(−11,−7)

Step-by-step explanation:

The angle value of m is m∠7 = m∠3 = 125° in linear pair.

What linear pair?

m∠1 = 180° - 55° = 125°

m∠2 =  55° [ vertical angle ]

m∠3 = m∠1 = 125°  [  vertical angle ]

m∠4 = 180° - m∠3 = 180 - 25 = 55°

m∠5 = m∠1 = 125°

m∠6 = m∠2  = 55°

m∠7 = m∠3 = 125°

Learn more about linear pair

brainly.com/question/17525542

#SPJ13

The features of the relation are given as follows:

1. Independent variable: number of weeks.

2. Dependent variable: money saved.

3. Yes, the relationship is linear.

4. The slope is of 40.

5. The domain is: {0, 1, 2, 3, 4, 5, 6, 7}.

6. The range is: {50, 90, 130, 170, 210, 250, 290, 330}.

7. The y-intercept is of $50.

8. The table has no x-intercept.

The output variable is a function of the input, hence the output is the dependent variable and the input is the independent variable.

The input and the output in this problem are given as follows:

In a linear relation, the rate of change of the output relative to the input is constant, and is called slope.

In the context of this problem, the money saved has a constant increase of $40 each week, hence:

The domain is the set containing the input values of the function, hence the number of weeks, as follows:

{0, 1, 2, 3, 4, 5, 6, 7}.

The range is the set containing the output values of the function, hence the money saved, as follows:

{50, 90, 130, 170, 210, 250, 290, 330}.

The y-intercept is the value of y when x = 0, hence, from the table, it is of:

y = 50.

The x-intercept is the value of x when y = 0. From the given table, y never assumes a value of 0, hence the function has no x-intercept.

More can be learned about linear relations at https://brainly.com/question/28441357

#SPJ1

Answer:

The amount of money pictured below is one dollar

Answer:

Step-by-step explanation:

1 quarter= 25 cents

1 nickel = 5 cents

9 mickels total= 9x5= 45

1 quarter= 25 + 45= 70

and then you have one dollar

so 1 dollar and 70 cents

1.70$

Explanation

Question 23

To get the value of x, let us get y as shown below

Next, we will make use of the fact tha y and (x+85 ) are vertical angles so that

For question 23, x = -5

For question 24

The total angle in a circle is 360 degrees so that

solving for x

For question 24, x =-3

The perimeter of the triangle is computed adding the length of each side. That is,

P = (2x - 2) + (2x - 2) + x

P = (2x + 2x + x) + (-2 - 2)

P = 5x - 4

Substituting with P =56 and solving for x:

56 = 5x - 4

56 + 4 = 5x

60 = 5x

60/5 = x

12 = x

Answer:

-1

Step-by-step explanation:

BEDMAS

[tex]\frac{4+(5-11)}{2^{4}-14 }\\\frac{4+(-6)}{16-14 }\\\frac{-2}{2}\\-1[/tex]

Hope that helps

The unit rate per inch on the map is 5/4 , and the length of road B is 18.75 miles.

in the question ,

it is given that ,

On the map  [tex]1\frac{1}{2}[/tex]  miles is equal to  [tex]1\frac{7}{8}[/tex] inches  .

we first convert the mixed fraction to normal fractions ,

we get

[tex]1\frac{1}{2}[/tex]  miles = (1*2+1)/2 = 3/2 miles

and

[tex]1\frac{7}{8}[/tex] inches = (8+7)/8 = 15/8 inches

So, the statement becomes

On the map  3/2  miles is equal to  15/8 inches .

So  1 mile = (15/8)/(3/2) = (15*2)/(8*3) = 30/24 = 5/4

so , the unite rate is 5/4 inches per mile .

given the road B is 15 miles long .

and the unit rate is 5/4 .

so 15 miles = 15 *(5/4) = 75/4 = 18.75 inches

Therefore , The unit rate per inch on the map is 5/4 , and the length of road B is 18.75 miles.

The given question is incomplete , the complete question is

A certain map shows two roads. Road A is [tex]1\frac{1}{2}[/tex] miles long but is [tex]1\frac{7}{8}[/tex] inches long on the map. What is the unit rate for inches per mile on this map​? If road B is 8 miles ​long, how long is road B on the map​?

Learn more about Distance here

https://brainly.com/question/19130027

#SPJ1

Answer:£6

Step-by-step explanation:

First, you need to do 5×3= 15 you times it by three, because there are three checks of £5

Then do 2×2=4 you times it by 2, because there are two checks of £2.

£15+£4=£19

Then Subtract £25-£19= £6

Hope this helps!

Answer:

Answer down below!

Step-by-step explanation:

Lets find a point on the graph that we can easily point out to start this problem

We can use the point (0,-3)

From there, we use rise/run to find our answer!

We go up 1 and over 1

Thus, our slope is 1!

Answer:

1

Step-by-step explanation:

slope = rise/run

choose any two points in the graph and count the left/right and up/down to get to that point it's hard to explain u can watch a yt video to completely understand

If the equation be 125000 = 45000( 1 + 0.021/365[tex]$) ^{365t[/tex] then simplifying we get the value of t exists 7.61 x [tex]10^{-6}[/tex].

Solving a math problem is the same thing as simplifying an expression. You basically strive to write an expression as simply as you can when you simplify it. At the conclusion, there shouldn't be any more multiplying, dividing, adding, or removing to do.

Let the equation be 125000 = 45000( 1 + 0.021/365[tex]$) ^{365t[/tex]

simplifying the above equation, we get

t = [tex]$\frac{125000}{ 45000( 1+ \frac{0.021}{365} ) 365}[/tex]

t = 7.61 x [tex]10^{-6}[/tex].

Therefore, the value of t exists 7.61 x [tex]10^{-6}[/tex].

To learn more about equation refer to:

https://brainly.com/question/22688504

#SPJ13

The 95% confidence interval will be more extensive than the 90% confidence interval

In measurements, the probability that a population boundary will fall between a bunch of values for a specific level of the time is alluded to as a certainty stretch. Investigators every now and again utilize certainty goes that incorporate 95% or the vast majority of expected perceptions. Thus, it could be presumed that there is a 95% probability that the genuine worth falls inside that reach assuming that a point gauge of 10.00 with a 95% certainty time frame - 10.50 is determined utilizing a factual model.

The degree of conviction or vulnerability in a testing cycle is estimated by certainty spans.

Also, they are utilized in relapse examination and speculation testing.

To decide measurable importance, analysts often join certainty spans with p-values.

95% or almost 100% certainty levels are most often utilized in their development.

A function with the formula f(x) = ax + b, where a and b are real values, is referred to as a linear function.

The rate of change will be 3/4.

A function with the formula f(x) = ax + b, where a and b are real values, is referred to as a linear function. Here, a stands for the line's gradient, and b for the y-axis intercept (which is sometimes called the vertical intercept).

The rate of change of y with respect to x, can be calculated utilizing any two of the pairs of values of the table, say, (3, -5) and (7, -2).

Rate of change [tex]$=\frac{y_2-y_1}{x_2-x_1}$[/tex]

Let, (3, -5) = (x1, y1) and (7, -2) = (x1, y1).

Rate of change [tex]$=\frac{(-5)-(-2)}{7-3}$[/tex]

Rate of change = 3/4.

Therefore, the correct answer is option c) 3/4.

To learn more about linear function refer to:

https://brainly.com/question/15602982

#SPJ13

1. Common ratio of the G.P is 50

2. First term of the G.P is -100

3. Sum of the 8th term is 250.

Given,

In a Geometric progression,

7th term is 16 times the 3rd term

Sum of 2nd and 6th term is 102

Common ratio is positive.

Now,

Take a as first term.

r as common ratio

Then,

2nd term = a + r

6th term = a + 5r

So,

a + r + a + 5r = 102

Then,

2a + 6r = 102

2a = 102 - 6r

a = (102 - 6r) / 2

Now,

1. Common ratio:

Consider any term,

Here, 3rd term = a + 2r

Substitute a here.

a + 2r =  (102 - 6r) / 2 + 2r

102 - 6r + 4r = 2

102 - 2 = 6r - 4r

100 = 2r

r = 100/2 = 50

That is,

The common ratio of the G.P is 50.

2. First term:

Consider,

7th term is 16 times the 3rd term

That is,

3rd term = a + 2r

7th term = 16(a + 2r)

r = 50

Then,

a + 50 × 2 = 16(a + 50 × 2)

a + 100 = 16(a + 100)

a + 100 = 16a + 1600

100 - 1600 = 16a - a

15a = -1500

a = -1500/15

a = -100

Therefore,

The first term of the G.P is -100

3. Sum of the 8th term.

8th term = a + 7r = -100 + 7 × 50 = -100 + 350 = 250

That is,

The sum of the 8th term is 250.

Learn more about Geometric progression here:

https://brainly.com/question/24944338

#SPJ1

The amount of money Landon will make in 1 hour is $12 and he needs to work for 13 hours to make $156.

The amount of money he will make in 1 hour can be calculated by using division.

It can be determined by dividing the total amount earned by him by the total number of hours he worked yesterday. Therefore;

money earned in 1 hour = total amount earned ÷ total number of hours

money earned in 1 hour = 48 ÷ 4

money earned in 1 hour = $12

Now we can calculate the number of hours he needs to work at the movie theater to make $156 by dividing the desired amount by the amount earned in one hour. Therefore;

number of hours required = 156 / 12

number of hours required = 13

Hence, Landon will make $12 in one hour and he will need to work 13 hours to make $156

To learn more about division, click here:

https://brainly.com/question/28119824

#SPJ4

Answer:

8.9 is larger

Step-by-step explanation:

7/8 is 0.875 in decimal form

8/9 is 0.88 or 0.89 if you round up.

7/8 < 8/9

Hope this helps! Please have a great day :)

Answer:

13

Step-by-step explanation:

y^2 = 169

y = [tex]\sqrt{169}[/tex]

y = 13

Answer:

composition about loyalty

The machine make nails at a rate of 8th pounds per hour

From the question, the given parameters are:

The rate in pounds per hour the machine make nails is then calculated as

Rate of making nails = Amount of pounds of nail/Number of time

Substitute the known values in the above equation

So, we have

Rate of making nails = 4th pounds/0.5 hour

Evaluate

Rate of making nails = 8th pounds per hour

Hence, the rate of making nails is 8th pounds per hour

Read more about unit rates at

https://brainly.com/question/26059245

#SPJ1

Answer: a) [tex]y = \frac{2}5x} - \frac{4}{5}[/tex]  b) y = -2x + 4

Step-by-step explanation:

2x - 5y = 4

2x - 4 = 5y

[tex]y = \frac{2}5x} - \frac{4}{5}[/tex]

6x + 3y = 12

3y = -6x + 12

y = -2x + 4

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.

No, to simplify is to reduce anything to its most basic form without figuring out what the letter 'x' or other letters are. Finding the meaning of the 'x' or other letters is known as solving.

Overview. Making something simpler refers to making it simpler to do or comprehend. Therefore, when we reduce or simplify a fraction, we aim for maximum simplicity. We accomplish this by dividing the denominator and numerator by the highest possible number.

It has the same precise meaning. The phrase "expand the brackets" means the same thing as "multiply out the brackets," with the added indication that when we do so, we are multiplying everything inside by everything outside the brackets.

The answer for a is x

To learn more about maximum simplicity, refer to:

https://brainly.com/question/5303325

#SPJ13

Problem

Solution

For this case we can do the following:

We also know that :

Using this property we got:

Now we can distirbute the terms and we got:

4+7i -8 -36 i

And distributing the terms we got:

(7-36)i +(4-8)

-29 i -4

And then our solution would be:

a= -29

b= -4

The full sentence relating to the function in the  tabulated data is;

"The x-intercept shows that if Ronald buys only apples, he can buy 12 pounds (lb). The y-intercept shows that if Ronald buys only eaches, he can buy 10 pounds (lbs). Hence the complete sentence."

It is to be noted that in mathematics, a function is an expression, rule, or law that describes the connection between one variable (the independent variable) and another variable (the dependent variable).

Tabular data has the following characteristics: They are made up of rows and columns. A table contains rows and columns and is used to organize everything tabular. Typically, sports statistics are provided in a tabular manner. A table is a type of graphic that arranges data into rows and columns. Tabular data is presented in a table format.

Learn more about tabulated data:
https://brainly.com/question/14078371
#SPJ1

Okay, here we have this:

Considering the provided information, we are going to calculate the requested probability, so we obtain the following:

Let us remember that in a 6-sided dice, the numbers it contains are (1,2,3,4,5,6), and of those 3 are odd, then we are going to substitute in the following formula of the simple probability of an event :

Probability of an event=Favorable Cases/Possible Cases

Probability of tossing an odd number with 6 sided number cube =3/6

Probability of tossing an odd number with 6 sided number cube =1/2

Finally we obtain that the probability of tossing an odd number with 6 sided number cube is 1/2.

Answer:

1 and 30!

1 times 30 = 30

1 + 30 = 31

Step-by-step explanation:

;p

Answer:

30 and 1

Step-by-step explanation:

You add 1 to 30 to get your answer of 31.

30 + 1 = 31

You can also multiply 30 times 1 to get thirty.

30 * 1 = 30

The equivalent expressions to (9 7/8 + 2 4/5) - 1/2 are given as follows:

a) 9 7/8 + (2 4/5) - 1/2.

b) 9 7/8 + 2 4/5 + (-1/2).

Equivalent expressions are expressions that have the same result.

In this problem, the expression a is equivalent to the given expression, as the only difference is the order of the operations being applied, as the subtraction of 2 4/5 and -1/2 is applied before the addition of 9 7/8 + 2 4/5.

Expression b is also equivalent to the given expression, as an addition with the negative number in the fraction is made. However, the addition sign means that the sign inside the parenthesis is kept, which is negative, hence no change is made to the expression.

The remaining expressions involve changes to the signals of each term, hence they are not equivalent to the presented expressions.

The problem is given by the image at the end of the answer.

More can be learned about equivalent expressions at https://brainly.com/question/15775046

#SPJ1

We are given a trapezoid and we are asked to determine one of its angles. To do that we need to have into account that the following angles are equal:

Also, the sum of two different angles must be equal to 180, therefore, we have the following relationship:

Replacing the value of angle W:

Subtracting 112 to both sides:

Therefore, the measure of angle Z is 68.