The expected increase (I) of a population of organisms is directly proportional to the current population (n). If a sample of 240 organisms increases by 20, by how many will a population of 600 increase?

Answer:

b.3

Step-by-step explanation:

im not 100% sure

Answer:

1 feet

Step-by-step explanation:

15-14

Answer:The equation to represent Penny Pavement's estimate would be:

Step-by-step explanation:

Cost = $4.25 * 300

The equation to represent Cool Concrete's estimate would be:

Cost = $3.50 * 300 - $75

(2nd PART) To determine the best option, we need to compare the prices for both Penny Pavement and Cool Concrete.

For Penny Pavement:

Cost = $4.25 * 300 = $1275

For Cool Concrete:

Cost = $3.50 * 300 - $75 = $975

Based on the prices, Cool Concrete offers a better option as their total cost is lower than Penny Pavement's. Even though Cool Concrete requires a $75 down payment, the overall cost for paving the driveway is $975, which is $300 less than Penny Pavement's estimate of $1275. Therefore, Cool Concrete is the more economical choice for paving the driveway.

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Answer:

H(-1,2)

K(-7,-4)

=H,K(14-4)=10

14-4=10K,H

Answer:

The estimated answer would be 9

Step-by-step explanation:

The answer I received in the calculator was 8.94422. Since the tenths, place value(9) is closer to 9.0 than 8.0, we round up. I hope this helps you.

Answer:

please I cannot see can you resend it

Answer: 304

Step-by-step explanation:

8(8)=64

24(10)=240

240+64=304

Answer:

rational as it can be in form b/q

The usual speed of the bus is 60 km/hr.

Speed is the rate of change in location of an item, expressed in meters per second.

Given,

Let x be the usual speed.

Speed = Distance/ Time

Time = Distance/Speed

Bus usually travels 350 miles.

It takes time for it to get there = 350/x h

The bus departs this week at 6:10, though.

The 70-minute bus delay = 70/60 = 7/6 h

The bus's current speed is (x+10) miles per hour.

The new window of time for getting there is \(\frac{350}{x+10}\)

\(\frac{350}{x}\) + \(\frac{350}{x+10}\) = \(\frac{7}{6}\)

350(\(\frac{x+10-x}{x(x+10)}\) ) = \(\frac{7}{6}\)

350 ( \(\frac{10}{x^{2} +10x}\) )= \(\frac{7}{6}\)

7(x² +10x) = 6(350)(10)

x² + 10x = 3000

x² + 10x - 3000 = 0

x² -60x + 50x - 3000 = 0

x( x - 60) + 50(x - 60) = 0

(x + 50)(x - 60) = 0

x = -50 , x = 60

The usual speed of the bus is 60 km/hr.

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Answer:B

Step-by-step explanation: x is less than 1 so it is a open circle on the graph and x is greater than or equal to -1 so it is a closed circle on -1, B has both of these so B is the answer

Displacement is the length of the straight line drawn from an object’s initial position to the object’s final position

The term "displacement" refers to a change in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial position to the ending position. For instance, if an object shifts from position A to position B, its position changes.

If an object moves with respect to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right with respect to a whiteboard, the object's position changes. This change in location is described as displacement.

The displacement is the shortest distance between an object's initial and final positions. Displacement is a vector. It is visualized as an arrow that points from the initial position to the final position, indicating that it has both a direction and a magnitude.

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Answer:

I believe the answer is 2x² - 88 - 24, since it is the only one with a number in front of the x²

Step-by-step explanation:

y = x² - 2x - 24

y = 2x² - 88 - 24

y = x² + 5x - 25

y = x² + 3x - 10x - 24

Answer:

Step-by-step explanation:

It remains 1/6

because you replace it, it stays as 1/6

Linear regression is a method of fitting a straight line between a dependent variable and an independent variable.

However, this method can be extended to accommodate some forms of non-linear relationships between the response and predictor(s). Some forms of non-linear relationships can be accommodated in a linear model if we include transformed versions of the predictor(s). Moreover, polynomial regression is one method for incorporating non-linear associations in a linear model. Thus, all of the given options are correct. So, the correct option is (A) The linear regression model may be extended to accommodate some forms of non-linear relationships between the response and predictor(s). (B) Some forms of non-linear relationships may be accommodated in a linear model if we include transformed versions of the predictor(s). (C) Polynomial regression is one method for incorporating non-linear associations in a linear model.

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Answer:

y = 4√3

Step-by-step explanation:

According to Euclidean theorem:

y² = 12 × 4

y² = 48

y = 4√3

Answer:

true :)

Step-by-step explanation:

Answer:10

Step-by-step explanation:

Answer:

Step-by-step explanation:

SOLVING

================================================================

6=-2(7-c)

Use distribution to multiply -2 by parenthesis

6=-14+2c

Add to both sides 14

20=2c

Divide 2 into both sides

10=c

5(h-4)=8

Use distribution to multiply 5 by the parenthesis

5h-20=8

Add to both sides 20

5h=28

Divide 5 into both sides

\(h=\frac{28}{5}\)

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Brandon have to pay  $28.75 to buy 5 pounds of walnuts.

By problem;

Price per pound= $6.50

Quantity to be purchased = 5 pounds

Discount available= $3.75

Expression:- 6.50pp-3.75     (where pp is a variable for pounds of walnut)

Amount to be paid= 6.50 * 5 - 3.75

Amount to be paid  =$28.75

Therefore, Brandon has to pay $28.75 to purchase 5 pound of walnuts.

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Answer:

a = 14

b = 15

c = 15

d = 18

e = 18

Step-by-step explanation:

The stratified sampling works as follows:

stratified sampling = (Population of subgroups)*(total sample size)/(entire population)

in this case, sample size = 80

entire population = 140 + 150 + 150 + 180 + 180 = 800

Population sample is the number of students of each year (for year 7, the population of subgroup is 140, and so on)

whith this equation we can find all the missing values:

a = (140)*(80/800) = 14

b = (150)*(80/800) = 15

c = (150)*(80/800) = 15

d = (180)*(80/800) = 18

e = (180)*(80/800) = 18

Problem 1

PMT = 505.76 = monthly payment

k = monthly interest rate in decimal form

k = 0.043/12 = 0.003583333 (approximate)

n = 5*12 = 60 months

PVOA = present value of ordinary annuity

PVOA = PMT * ( 1 - (1+k)^(-n) )/k

PVOA = 505.76 * ( 1 - (1+0.003583333)^(-60) )/0.003583333

PVOA = 27,261.436358296

When rounding to the nearest dollar, we get $27,261

Your teacher made a mistake in choosing the formula. S/he mixed up present value ordinary annuity with annuity due. The (1+k) portion at the end is ignored. I rewrote the 1/( (1+k)^n ) sub-portion as (1+k)^(-n) to avoid a bit of clutter.

--------

To type this into excel we will write

=PV(0.043/12,5*12,505.76,0,0)

That will produce the result of -27,261.44. The negative is to indicate a cash outflow.

Don't forget about the equal sign up front when writing excel formulas.

=====================================================

Problem 2

L = loan amount = 23099

k = interest rate per month = 0.051/12 = 0.00425 exactly

n = number of months = 5*12 = 60 months

PMT = monthly payment

PMT = (Lk)/(1 - (1 + k)^(-n) )

This formula is the result of solving PVOA = PMT * ( 1 - (1+k)^(-n) )/k for "PMT". The PVOA value is the loan amount in this case.

Let's plug in the values mentioned

PMT = (Lk)/(1 - (1 + k)^(-n) )

PMT = (23099*0.00425)/(1 - (1 + 0.00425)^(-60) )

PMT = 436.965684557303

PMT = 437 when rounding to the nearest whole number

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To do this in excel, we type in

=PMT(0.051/12,5*12,23099,0,0)

The output should be -436.97 which rounds to -437.

The value is negative to represent a cash outflow, but your teacher mentions to post the answer as a positive value.

The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.

Let's match each expression with its corresponding value:

Expression: -9

Value: -9

Expression: 7

Value: 7

Expression: -2

Value: -2

Expression: Undefined

Value: Undefined

Expression: h(3.999)

Value: Undefined

Expression: h(4)

Value: 8

Expression: h(4.0001)

Value: Undefined

Expression: h(9)

Value: Undefined

Now let's explain the reasoning behind each value:

The expression -9 represents the number -9, so its value is -9.

Similarly, the expression 7 represents the number 7, so its value is 7.

The expression -2 represents the number -2, so its value is -2.

When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.

For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.

The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.

Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.

Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.

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Answer:

y= -2/7x-7

Step-by-step explanation:

slope intercept form is just a fancy way of saying y=mx+b

x being your input, y your output, m your slope, and b your y intercept

you can use the slope to determine your equation will look something like: y=-2/7x+b. To find your y-intercept all you do is determine how much the point will increase or decrease so it is equal to (0, y). In this case it will increase by 14 on the x's (so x is equal to 0) and 14*-2/7. When you have determined your y-int and slope you can then plug them into the equation instead of the variables.

Answer:

f(g(x) = 1x² + 4x + 3

Explanation:

Question: f(g(x))

Given following:

While solving such function questions, solve from right to left.

⇒ f(x + 2)

⇒ (x + 2)² - 1

⇒ x² + 4x + 4 - 1

⇒ x² + 4x + 3

Answer:

304000

Step-by-step explanation:

Just multiply 252000 by two . since

\( \frac{2}{9} \times 2 = \frac{4}{9} \)

Answer:

no solution.

Step-by-step explanation:

Answer:

no solution.

Step-by-step explanation:

-4 (1 + 10a) - 7 > -10 (1 + 4a) - 1

-4 + 40a - 7 > -10 + 40a -1

40a - 40a > -10 - 1 + 4 + 7

 the Variable is canceled so there is no solution.

The inequality to represent the temperatures at which the propane is safe to use is -40 < x < 120.

It is said that it is safe to use Propane between the temperatures of -40°C and 120°C.

We already know the use of an equality. It makes the values on both sides of it equivalent.

An inequality compares the values on both sides of it. It informs us which one is greater than or less than the other or if they are equal. That is, inequality has a possibility for equality too.

Here the minimum temperature at which propane is safe to use = -40°C

The maximum temperature at which Propane is safe to use = 120°C

We take a variable 'x' to denote the safe temperature of Propane.

Then according to the information, the inequality to represent the temperatures at which the propane is safe to use is,

            -40 < x < 120

An inequality is written with the bigger value is in the open end of '<' and the lower value at the other end.

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The length of the arc will be 22 cm.

Length of the radius 'r'= 28 cm

central angle 'a' in degrees = 45

The formula for length of arc is 2πra÷360

The standard value of pie that we take is 22÷7

so after putting all the given values, we get,

2×22/7×28×45 = 22cm.

Radius is any line that we draw from the centre of the circle to its outside edge.

Arc is the part of the circle's circumference.

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Answer:

aₙ = 5 + 10(n - 1)

Step-by-step explanation:

See photo...

Answer:

\(a_{n}\) = 10n - 5

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 15 - 5 = 25 - 15 = 10

This indicates the sequence is arithmetic with n th term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = 10 , then

\(a_{n}\) = 5 + 10(n - 1) = 5 + 10n - 10 = 10n - 5

First you will get 4dz