14. (a) Use the substitution -4-√h to show that dh --8 In 4-√|-2√h + k where k is a constant (6) A team of scientists is studying a species of slow growing tree The rate of change in height of a

Answers

Answer 1

Let's begin by changing dh in the equation dh/dt = -2h + k, where k is a constant, to -4-h.-4-√h = -2√h + kWe can isolate the h terms on one side and the constants on the other side to simplify:

-√h = k + 2√h - 4

By combining similar phrases, we get:

-3√h = k - 4

Let's try to solve for h now:

√h = (k - 4) / -3

When we square both sides, we obtain:

h = ((k - 4) / -3)^2

Increasing the scope of the equation:

h = (k^2 - 8k + 16) / 9

Consequently, the formula for dh/dt = -4-h can be stated as follows:

dh/dt is equal to -8 |(-2h + k)|, or -8.

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Related Questions

23X-17 = 15X+7 give me the solution

Answers

Answer: x=3

Step-by-step explanation:

Simplify equation to get 8x=24. Divide 24 by 8 to get x=3. Please give brainliest :D

Answer:

Step-by-step explanation:

23X - 17 = 15X + 7

First add 17 to both sides to isolate the variable (usually the one with the bigger coefficient is best)

23X = 15X + 24

subtract 15x from both sides to combine 23X and 15X terms

8X = 24

Divide by 8 to solve

X = 3

Ben is 67 years old and single. He is also legally blind. When filing his 2018 income taxes, he opts to take the standard deduction rather than itemizing personal deductions. How much is Ben's standard deduction?

Answers

For tax year 2018, Ben's standard deduction is $12,000. As a single filer, the standard deduction amount he can claim is $12,000.The standard deduction is a fixed amount of money that reduces the amount of income subject to taxation.

A taxpayer can choose to claim the standard deduction or itemize their personal deductions. If the sum of all itemized deductions exceeds the standard deduction, the taxpayer should opt to itemize. If the sum of itemized deductions is less than the standard deduction, the taxpayer should opt to take the standard deduction.A legally blind taxpayer may qualify for a higher standard deduction.

For tax year 2018, the additional standard deduction amount for a taxpayer who is blind is $1,600.

Since Ben is legally blind, his standard deduction amount could have been $12,000 + $1,600 = $13,600 if he had chosen to take the higher standard deduction.

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Jack earns $15.00 per hour plus $2.50 for each pizza delivery. The expression
15h + 2.50d can be used to find the total earnings after h hours and d deliveries have been made. How much money will Jack earn after working 15 hours and making 8 deliveries?

Answers

Answer:

$245

Step-by-step explanation:

15h+2.50d

= 15(15)+2.50(8)

= 225+20

= $245

Unit 2 homework 4 all things algebra

Unit 2 homework 4 all things algebra

Answers

Answer:

Use desmos graphing calculator

State the equation of the following graphs.
Someone please help ASAP

State the equation of the following graphs.Someone please help ASAP

Answers

Answer

y = 1(x +1) - 3

Explanation

A quadratic equation of the form y = ax^2 + bx + c

This written in complete the square form provides you with the vertex (either a maximum or minimum point depending on the equation).

This results in y = a(x + p) + q

Where - p is the x value and q is the y value of turning point.

For graph 22, x = -1 and y = -3

Therefore, the equation is of the form

y = a(x + 1) - 3 (*)

We still need the value a, this can be obtained by using the y-intercept we are given.

We are told x = 0 when y = -2

Substitute this in (*) equation:

-2 = a(0+1) - 3

-2 = a - 3

a = 1

Therefore final equation is

y = 1(x +1) - 3

This should provide you with the train of thought of how the second question should also be tackled.

If unsure about why the equation
y = a(x + p) + q gives the vertex ask in comments I will respond

Find the coordinates of the point 3/10 of the way from A to B.​

Find the coordinates of the point 3/10 of the way from A to B.

Answers

The coordinates of the point 3/10 of the way between A and B are (-19/15, 1/5).

What is defined as the section formula?The Section formula is used in coordinate geometry to find the ratio of a line segment divided by a point, either internally or externally. It determines the centroid, incenter, and excenters of a triangle.

Let P be the point that is 3/10 of a way from A to B. This means that it divides P in the ratio 3:10 = AP/PB = 3/10.

To find the coordinates, use the internal division formula, which is given as:

x = (mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

Where,

(x₁, y₁) = A(-3, -5)

(x₂, y₂) = B(12, 4)

m = 3 and n = 10.

Substitute the values to find the x and y coordinates of point P.

y = (3×4 + 10(-5))/(3 +10)

On solving;

y = -19/15

Solve for x coordinates;

y = (3(12) + 10(-3)/(3 +10)

on solving;

y = 1/5

Therefore, the coordinates of the point 3/10 a way from A and B is (-19/15, 1/5).

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What is the value of the expression – 57 - (-13 +33)?
-102
А
B
-3
с C
0 h
D
-73

Answers

Answer:

-77

Step-by-step explanation:

-57-(-13+33)

=-57-20

=-77

Help!!!!!!!!!!!!!!!!!!!!!!!!! and I'm giving brainly thxxxxx

Help!!!!!!!!!!!!!!!!!!!!!!!!! and I'm giving brainly thxxxxx

Answers

Answer:

the 3 is in the hundred thousands

Step-by-step explanation:

L(-1, 6), M(5, 9), N(0, 2), P(-8, -2) (Slope Formula)

Answers

Therefore , the solution of the given problem of slope comes out to be the slopes of the lines that contain the specified point pairs are both 1/2.

Describe slope.

The slope of a line determines how sharp it is. Gradient overflow is a condition that can occur in equations that rely on gradients. By dividing the total run (width difference) and apparition (climbing distinction) between the two locations, one can calculate the slope. The fixed path issue is modelled using a fix y = mx + b incorporating the hill variation. when a = bc, its y-intercept, and the inclination are all expressed in millimeters; (0, b).

Here,

The slope formula is used to determine the slope of a line given two coordinates (x1, y1) and (x2, y2):

=>  slope =  (y2 + y1)/. (x2 - x1)

We can use the following formula to determine the slopes of the lines that contain the specified pair of points:

Line LM's slope, which includes the coordinates L(-1, 6) and M(5, 9), is given by:

=>  slope of LM = (9 - 6) / (5 - (-1))

=>  3/6 = 1/2

=> Slope of line NP = (-2 - 2) / (-8 - 0)

=> -4 / (-8) = 1/2;

line NP contains coordinates N(0, 2) and P(-8, -2).

Because the slope is symmetric with regard to the order of the points, we would have come to the same conclusion.

As a result, the slopes of the lines that contain the specified point pairs are both 1/2.

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Sr-85 used on bone scans it has a half life of 64.9 days fine the remaining amount after 100 days

Answers

The remaining amount of the substance with the half life of 64.9 days after 100 days is 2.749.

How can the  remaining amount of the substance be calculted?

To calculate the amount that remains  after 100 days, this formular can be used

amount remaining = \(a (0.50)^{\frac{t}{h} }\)

where t is the time that was required for the process to take place, where t is 100 days.

h is the halftime, which is been given as 64.9 days

where a is given as the initial amount that is present which is 8.

Then the values can be substituted to have

\(=a (0.50)^{\frac{100}{64.9} }\)

= 2.749

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The relative density of steel is 7.8. Find: 1. the mass of a solid steel cube of side 10cm.
2. the volume of the steel that has a mass of 8kg

Answers

a) The mass of the solid steel is M = 7800 kg

b) The volume of the steel is V = 1.0256 cm³

Given data ,

The relative density of steel is 7.8

Now , Mass = Density x Volume

a)

The side length of the solid steel is s = 10 cm

So , the volume of solid is V = 10³ = 1000 cm³

The mass of the solid is M = 7.8 x 1000

M = 7800 kg

b)

The mass of steel is M = 8 kg

So, the volume of steel is V = M / D

V = 8 / 7.8

V = 1.0256 cm³

Hence , the density,mass and volume of the steel is solved.

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Bradley is a website designer. His client wants a blue, green, or purple themed
website, and he has selected 3 shades of green, 4 shades of purple, and 7 shades
of blue. What is the ratio of shades of purple to shades of green?

Answers

the answer would be 4 purple to 3 green

4:3

The probability that mary picks a yellow marble out of a bag of marbles is 0.35. there are 500 marbles in the bag. work out how many yellow marbles there are.

Answers

Answer:

175

Step-by-step explanation:

500*.35

Write a formula to describe the sequence
2/3, 1, 4/3, 5/3, 2, 7/3
A · A(n) =2/3+ n/3
B A(n) = 1/3 +2/3 (n - 1)
C. A(n) = n-1/3
D A(n) =2/ 3 + (n - 1)1/3

Answers

u have an arithmetic sequence with a common difference of 3

A(n) = -4 + (n-1) * 3

sorry if this isn't the right answer...

i really suck at math

Can someone please help me with this? Please and thank you

Can someone please help me with this? Please and thank you

Answers

Answer:

\((2,-1)\)

Step-by-step explanation:

The solution of the systems of equations in the graph is 'the point of intersection'

The point of intersection is the point at which two lines meet or intersect.

For this graph, the point of intersection is the point where the the red and blue graph meet. The x and y values (or coordinates) have to be read from the graph.

From the graph:

x = 2

y = \(-1\)

Together these x and y values form an ordered pair

∴Ordered pair is \((2,-1)\)

Terrence and Teresa both work for a bookstore. Terrence earns $450 per week. Teresa earns $300 per week plus a 6% commission on the total sales of books she sells. In one week, if Teresa sells $2000 worth of books, who make more money and buy how much?

Answers

Answer:

Terrence made $30 more than Teresa.

Step-by-step explanation:

Giving the following information:

Terrence earns $450 per week.

Teresa earns $300 per week plus a 6% commission on the total sales of books she sells.

First, we need to structure the total income formula for each:

Terrence= 450

Teresa= 300 + 0.06*x

x= sales

Now, for $2,000 sales of books:

Terrence= $450

Teresa= 300 + 0.06*2,000= $420

Jennelle went shopping for school clothes. She spent $137 at one store and $96 at another store. She had $87 left.

How much money did Jennelle take shopping?

Answers

Answer:

Jennelle actually brought  320$

Step-by-step explanation:

She spend on first store 137$

2nd store                      96

she left   87 which is after he spend the money in the stores

so you add 137$ and 96$ to get 233 then usually this kind of question asks about how much he left. But it already gave us how much she left

so if you add it you will find out how much he brought to the shopping

so  233+87 is equal to 320 $

Thanks

when training a classifier, it is common to split the available data into a training set, a hold-out set, and a test set, each of which has a different role. which data set is used to learn the conditional probabilities?

Answers

When training a classifier, the training set is used to learn the conditional probabilities.

The training set is used to learn the conditional probabilities because the training set is used to train the classifier on the patterns and features in the data, which in turn helps the classifier to learn the conditional probabilities of the different classes in the data.

The hold-out set and test set are used to evaluate the performance of the classifier and ensure that it is not overfitting to the training set.

By evaluating the classifier on data that it has not seen before, we can get a more accurate estimate of its true performance and the probability of correctly classifying new data.

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in a park, 25 children play every day in the evening. 12 children like to play cricket, 8 like to play football and 4 like to play soccer. how many children in the park do not like to play either cricket or football or soccer?

Answers

There is only one child in the park who does not like to play either cricket or football or soccer.

Additionally, you should ignore any typos or irrelevant parts of the question .Here's how you can solve the given problem :Given that ,In a park, 25 children play every day in the evening.

12 children like to play cricket.8 children like to play football.4 children like to play soccer.Total children who like to play either of these three sports = \(12 + 8 + 4 = 24.\)

Therefore, the number of children who do not like to play any of these sports = Total number of children - Number of children who like to play any of these sports= \(25 - 24= 1\).

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the percentage of boys who play varsity soccer is ✔ less than the percentage of girls who play varsity soccer. the proportion of boys who play freshman b-ball is ✔ greater than the proportion of girls who play freshman b-ball. the percentage of boys who play varsity tennis is ✔ the same as the number of girls who play varsity tennis.

Answers

There are variations in the participation prices of boys and girls across unique sports, with boys having decreased representation in varsity soccer, better representation in freshman basketball, and identical illustration in varsity tennis compared to ladies.

Based on the given statements:

The percentage of boys who play varsity soccer is much less than the share of ladies who play varsity football.

The share of boys who play freshman basketball is extra than the share of girls who play freshman basketball.

The percentage of boys who play varsity tennis is the same as the variety of women who play varsity tennis.

We can finish subsequent:

Boys have a lower representation in varsity football as compared to ladies.

Boys have a higher representation in freshman basketball in comparison to ladies.

The percentage of boys playing varsity tennis is identical to the proportion of women playing varsity tennis.

These statements suggest differences in participation fees and proportions between boys and women in unique sports activities.

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The correct question is:

"The percentage of boys who play varsity soccer is ✔ less than the percentage of girls who play varsity soccer. the proportion of boys who play freshman b-ball is ✔ greater than the proportion of girls who play freshman b-ball. the percentage of boys who play varsity tennis is ✔ the same as the number of girls who play varsity tennis.

What can you conclude from the above statements?"

(1 point) the manager of the many facets jewelry store models total sales by the function(1 point) The manager of the Many Facets jewelry store models total sales by the function :S(t) = 1500/2+0.31 where is the time (years) since the year 2006 and S is measured in thousands of dollars. (a) At what rate (in dollars per year) were sales changing in the year 2010? (b) What happens to sales in the long run?

Answers

the value of the function S(t) will approach 0, meaning that sales will eventually decrease to almost zero in the long run

(a) To find the rate of change in sales in the year 2010, we need to find the derivative of the function S(t) at t=4 (since 2010 is 4 years after 2006).
S'(t) = 0.31
Therefore, the rate of change in sales in the year 2010 was 0.31 thousand dollars per year.
(b) In the long run, as t approaches infinity, the constant term 1500/2 becomes negligible compared to the term 0.31t. This means that sales will continue to increase at a rate of 0.31 thousand dollars per year indefinitely, assuming all other factors remain constant.
As a result, the value of the function S(t) will approach 0, meaning that sales will eventually decrease to almost zero in the long run.

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In the long run, sales will continue to increase by 750 dollars per year.

What is Sales growth?

Sales growth refers to the percentage increase in sales over a specified period. It is an important metric for businesses to measure their performance and evaluate the success of their sales strategies. Sales growth indicates the rate at which a company is expanding its customer base, increasing market share, and generating more revenue

To find the rate of change of sales in the year 2010, we need to calculate the derivative of the sales function S(t) with respect to time. The derivative represents the rate of change.

(a) To find the rate of change of sales in the year 2010, we need to substitute t = 4 into the derivative of S(t):

S'(t) = dS(t)/dt

Given S(t) = (1500/2)t + 0.31, we can differentiate it to find the derivative:

S'(t) = 1500/2

Now, substitute t = 4 into S'(t):

S'(4) = (1500/2) = 750

Therefore, the rate of change of sales in the year 2010 was 750 dollars per year.

(b) To determine what happens to sales in the long run, we need to consider the behavior of the function as time approaches infinity. In this case, we can examine the coefficient of the term 't' in the function S(t).

S(t) = (1500/2)t + 0.31

As t approaches infinity, the coefficient of 't' dominates the function, and the constant term becomes negligible. In this case, the coefficient is (1500/2) = 750. This means that in the long run, sales will increase by 750 dollars per year.

Therefore, in the long run, sales will continue to increase by 750 dollars per year.

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all ratios equivalent to 5:8

Answers

answer:

if you multiply the 2 sides of the ratio by a number it will give you an equivalent ratio

5:8 = 10:16 multiplying by 2

5:8 = 15:24 multiplying by 3

5:8 = 20:32 multiplying by 4

5:8 = 25:40 multiplying by 5

5:8 = 30:48 multiplying by 6

5:8 = 35:56 multiplying by 7

and so on ...

- 10:16
- 12.5:20
- 15:24
- 17.5: 28
- 20: 32

all students at adams high school and at baker high school take a certain exam. the average scores for boys, for girls, and for boys and girls combined, at adams hs and baker hs are shown in the table, as is the average for boys at the two schools combined. what is the average score for the girls at the two schools combined?

Answers

The average score for girls at the two schools combined is 82.

To understand how we arrived at this answer, let's analyze the given information step by step. The table provides the average scores for boys, girls, and boys and girls combined at Adams High School (Adams HS) and Baker High School (Baker HS). We are also given the average score for boys at the two schools combined.

Let's denote the average score for girls at Adams HS as "A" and at Baker HS as "B." We are asked to find the average score for girls at the two schools combined.

We know that the average score for boys at Adams HS is 71, at Baker HS is 81, and combined is 79. The average score for girls at Adams HS is 76, and at Baker HS is 90. The average score for boys and girls combined at Adams HS is 74, and at Baker HS is 84.

To find the average score for girls at the two schools combined, we can use the following equation:

(A + B)/2 = (74 + 84)/2

A + B = 158

Since we are looking for the combined average score for girls, we need to find the average of A and B. We can do this by dividing the sum of A and B (158) by 2:

(A + B)/2 = 158/2

A + B = 158

A = 158 - B

Now, let's substitute the value of A in terms of B into the equation:

158 - B + B = 158

B cancels out, leaving us with:

158 = 158

This equation is true, indicating that the value of B is not specified. Therefore, the average score for girls at the two schools combined can be any value. Consequently, we cannot determine a specific answer for the average score of girls at the two schools combined.

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suppose deandre borrows $3000 at an interest rate 2% of compounded each year. assume that no payments are made on the loan. follow the instructions below. do not do any rounding.
a) Find the amount owed at the end of 1 year
b) Find the amount owed at the end of 2 years

Answers

We can use the formula for compound interest: A = P(1 + r/n)^(nt), where A represents the amount owed, P is the principal amount, r is the interest rate.

a) To find the amount owed at the end of the first year, we substitute the given values into the compound interest formula. Since the interest is compounded annually, n = 1. Therefore, the calculation is as follows:

A = 3000(1 + 0.02/1)^(1*1)

A = 3000(1 + 0.02)^1

A = 3000(1.02)

A = 3060

Therefore, the amount owed at the end of the first year is $3060.

b) To calculate the amount owed at the end of the second year, we use the same formula but with t = 2:

A = 3000(1 + 0.02/1)^(1*2)

A = 3000(1 + 0.02)^2

A = 3000(1.02)^2

A = 3000(1.0404)

A = 3121.20

Thus, the amount owed at the end of the second year is $3121.20.

In summary, DeAndre borrows $3000 with a 2% compounded interest rate. Using the compound interest formula, we find that the amount owed at the end of the first year is $3060, and at the end of the second year is $3121.20. The formula takes into account the principal amount, interest rate, compounding frequency, and the number of years to calculate the amount owed.

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answer the questions please

answer the questions please

Answers

The probability that the number is in set B is 20 %.

The probability that the number is in the set A ∪ B is 30 %.

What is the probability of the number chosen?

If a number is chosen at random from the universal set, the probability that the number is in set B is calculated as follows;

The total number of outcome = {1, 2, 3, 4, 5, 6, 7, 8, 9 , 10} = 10 numbers

The numbers in set B = { 3, 7}

The probability = 2/10 = 1/5 = 20%

The probability that the number is in the set A ∪ B is calculated as follows;

A ∪ B = { 2, 3, 7 }

The probability = 3/10  = 30%

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a car can complete journey of 300 km with the average speed of 60 km per hour how long does it take to complete the journey what is the speed of the car if it covers only 200 km in the same interval of the time
please I need help urgent ​

Answers

Answer:

a. 5 hours

b. 40 kph

Step-by-step explanation:

300 km ÷ 60 km = 5 hours

200 km ÷ 5 hours = 40 kilometers per hour

Please someone help I don’t understand

Please someone help I dont understand

Answers

Answer:

15. False, m<1 and m<3 are not vertical

16. False, m<2 and m<4 are vertical, so they must be the same

17. True, they are supplementary

18. True, they are also supplementary

19. 90 - 35 = 55

20. m<7 = m<4, so it's 42 degrees

21. 126-90 = 36 degrees

22. 115-90 = 25, which gives us the angle of m<4, which is vertical to m<7, which means m<7 is also 25.

Brainliest answer please.

A car dealer acquires a used car for $7,000, with terms fob shipping point. compute total inventory costs assigned to the used car if additional costs include


$290 for transportation-in.
$190 for shipping insurance.
$1,000 for car import duties.
$200 for advertising.
$1,400 for sales staff salaries.
$190 for trimming shrubs.

Answers

Shipping points are independent organizational entities within which processing and monitoring of the deliveries, as well as goods issue, is carried out. A delivery is processed by one shipping point only.

"FOB shipping point" or "FOB origin" means the buyer is at risk once the seller ships the product. The purchaser pays the shipping cost from the factory and is responsible if the goods are damaged while in transit. "FOB destination" means the seller retains the risk of loss until the goods reach the buyer.

Please check the attached file for a complete answer.

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A car dealer acquires a used car for $7,000, with terms fob shipping point. compute total inventory costs

For the point (r,θ), r is the _____ from O to P and θ is the _____ counterclockwise from the polar axis to the line segment ¯¯¯¯¯¯¯¯OP.

Answers

In the point (r, θ), r signifies the distance from O to P, while θ represents the angle counterclockwise from the polar axis to the line segment ¯¯¯¯¯¯¯¯OP.

For the point (r, θ), r is the distance from O to P, and θ is the angle counterclockwise from the polar axis to the line segment ¯¯¯¯¯¯¯¯OP.

In polar coordinates, a point is represented by its distance (r) from the origin (O) and the angle (θ) it forms with the positive x-axis. The distance (r) denotes the length of the line segment connecting the origin to the point P. It indicates how far the point is from the origin. The angle (θ) represents the rotation or angular position of the line segment ¯¯¯¯¯¯¯¯OP from the polar axis (positive x-axis) in a counterclockwise direction. It determines the direction in which the point is located relative to the polar axis.

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PLEASE HELP ASAP ILL MARK BRAINLESS

PLEASE HELP ASAP ILL MARK BRAINLESS

Answers

Answer:

I think its B :3

Step-by-step explanation:

4c = 25

I dunno how to explain--

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