write an exponential function in the form y=ab^x that goes through points (0,8) and (3,8000).

The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

Read more about domain and range at

brainly.com/question/27910766

#SPJ1

Answer:

y+7 < -7   OR    y+7 > 7   (No correct option in your question)

Step-by-step explanation:

3|y + 7| − 16 > 5

3|y + 7| − 16 +16> 5+16

3|y + 7|>21

3|y + 7| / 3 > 21 /3

|y + 7| > 7

+(y+7) > 7        OR      -(y+7) > 7

y+7>7   OR    y+7 < -7

The compound inequality is y+7>7 OR y+7 < -7.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

3|y + 7| − 16 > 5

Now, solving the inequality

3|y + 7| − 16 +16> 5+16

3|y + 7|>21

3|y + 7| / 3 > 21 /3

|y + 7| > 7

Now, splitting the mode

+(y+7) > 7        OR      -(y+7) > 7

y+7>7   OR    y+7 < -7

Hence, the compound inequality is y+7>7 OR y+7 < -7.

Learn more about inequality here:

https://brainly.com/question/28823603

#SPJ5

P = 2 * (6x - 5) + 2 * (1/4x + 2)

  = 12x - 10 + 1/2x + 4

  = 12 1/2x - 6   => A

Answer:

10 teachers to 241 students

Step-by-step explanation:

Number of students  = 482

Number of teachers  = 20

Unknown:

ratio of students to teachers = ?

Solution:

To find the ratio:

     Number of students :  Number of teachers

                  482               :           20

Reduce to the smallest value, divide by 2;

                  241                 :           10

In the class there are 10 teachers to 241 students

Answer:

b)0,2..................

Answer:

153.94

Step-by-step explanation:

Find the area of the sector:

A = (1/4)(14^2π)

A = (1/4)(196π)

A = 49π

A ≈ 153.94

Answer:

The answer is 50%.

Step-by-step explanation:

I did the question on IXL, and got it right.

Answer:

I think the answer is -7

because : 3(-5) + 4(2)

-15 + 8

= -7

34, x, y are factors of this expression.

- BRAINLIEST answerer

Answer:

645

Step-by-step explanation:

630+100= 730

730-85= 645

The nonprofit builds a distribution of sample proportions to understand the fraction of households with elevated lead levels.

To understand the fraction of households with elevated levels of lead in their drinking water, the nonprofit uses a sampling method and builds a distribution of sample proportions. They randomly sample 860 homes and collect water samples to determine the proportion of homes with elevated lead levels.

This process is repeated 1,000 times, resulting in a collection of sample proportions. By analyzing this distribution, the nonprofit can estimate the range and variability of the fraction of homes with elevated lead levels.

This statistical approach provides valuable insights into the prevalence of the issue and helps assess the potential health risks associated with lead-contaminated drinking water. By repeating the sampling process multiple times and analyzing the distribution of sample proportions, the nonprofit can also evaluate the variability and uncertainty in their estimates.

This information can guide decision-making, resource allocation, and interventions aimed at addressing the issue of elevated lead levels in households.

Learn more about distribution of sample

brainly.com/question/31465269

#SPJ11

The angular area of the HST's field of view is 25 square degrees.

The field of view is the extent of the sky that the Hubble Space Telescope (HST) can observe at a given time. It is usually measured in degrees.

To calculate the angular area, we can use the formula for the area of a circle:

Area = π * (angular size/2)^2

Where π is a mathematical constant approximately equal to 3.14, and the angular size is in degrees.

Let's say the angular size of the HST's field of view is 10 degrees.

First, we divide the angular size by 2:

10 degrees / 2 = 5 degrees

Next, we square the result:

5 degrees * 5 degrees = 25 square degrees

To know more about angular area here:

brainly.com/question/30627197

#SPJ11

Answer:

a

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

the highest f(x) value on the table is at -4 on the x column

The value that would complete the table to make the relationship between the two quantity proportional is 4.

When two quantities are proportional, their relationship is constant for all values and as one quantity rises, the other rises as well.

A proportional relationship exists between two quantities if they can be written in the general form y = kx, where k is the proportionality constant. In other words, the ratio between these amounts never changes. In other words, no matter which pair of the two numbers you divide, you always obtain the same number k.

The value that would complete the table to make the relationship between the two quantity proportional is 4.

To know more about quantity proportional visit:-

https://brainly.com/question/21752723

#SPJ4

A) In both cities = 0.3

B) In neither cities = 0.2

Given,

P(Industry in Shanghai) = P(A) = 0.7

P(Industry in Beijing) = P(B) = 0.4

P(Industry in Shanghai or Beijing)  = P(A∪B) = 0.8

a) We need to find the probability that the industry is located in both Shanghai and Beijing.

That is we need to find P(A∩B)

P(A∪B) = P(A) + P(B) - P(A∩B)

Substituting the values we get,

0.8 = 0.7 + 0.4 - P(A∩B)

P(A∩B) = 0.3

Thus, the probability that the industry is located in both Shanghai and Beijing is 0.3.

b) Now, we need to find the probability that it is not in either cities

Probability = 1 - Probability(Industry in Shanghai or in Beijing)

                = 1 - P(A∪B)

                = 1 - 0.8

                = 0.2

Learn more about probability here: https://brainly.com/question/13335415

#SPJ4

The question is incomplete. Completed question is given below.

The probability that an American industry will locate in Shanghai, China, is 0.7, the probability that it will locate in Beijing, China, is 0.4, and the probability that it will locate in either Shanghai or Beijing or both is 0.8. What is the probability that the industry will locate

A. in both cities?

B. in neither city?

The formula for the balance b, in dollars, in the account after t weeks:
b = 710 - 35t

The formula takes into account the starting balance of $710 and the fact that you're withdrawing $35 every week. The same amount every week, you can simply multiply the number of weeks by 35 to get the total amount that you've withdrawn. Subtracting that total from the starting balance gives you the formula for the balance after t weeks.
The balance b in the account after t weeks, we can use the following formula:

b = initial_balance - (withdrawal_amount * t)
In this case, the initial_balance is $710 and the withdrawal_amount is $35 per week. So the formula for the balance after t weeks would be:
b = 710 - (35 * t)

To know more about formula visit:-

https://brainly.com/question/30098455

#SPJ11

The given statement "A government can maximize efficiency in monopoly markets by setting prices equal to the monopolist's average cost of production albeit at the cost of reduced long term innovation" is False.

A government setting prices equal to the monopolist's average cost of production does not necessarily maximize efficiency in monopoly markets. It may lead to reduced long-term innovation as there is less incentive for monopolists to invest in research and development or improve efficiency.

To know more about monopoly markets refer here:

https://brainly.com/question/31680401

#SPJ11

The relative price of x to y (Px / Py). If MUx / Px = MUy / Py, the consumer is in equilibrium.

(a) If 30% of the labor is allocated to x production and the rest to y production, we can calculate the resulting output pair as follows:

Lx = 0.3 * 10 = 3 units of labor allocated to x

Ly = 0.7 * 10 = 7 units of labor allocated to y

Using the production functions, we can calculate the corresponding outputs:

x = 10(Lx)^0.5 = 10(3)^0.5 = 10√3 ≈ 17.32

y = 5(Ly)^0.5 = 5(7)^0.5 = 5√7 ≈ 13.23

So the resulting output pair is approximately (17.32, 13.23).

(b) The equation for the Production Possibility Frontier (PPF) represents the maximum combination of outputs that can be produced given the available resources (labor endowment). In this case, the PPF can be obtained by varying the allocation of labor between x and y while keeping the total labor endowment constant.

Let's solve for the PPF by equating the total labor endowment to the labor allocated to each sector:

Lx + Ly = 10

Now we can express one variable (Ly) in terms of the other (Lx) to obtain the equation for the PPF:

Ly = 10 - Lx

Substituting this value into the production function for y:

y = 5(Ly)^0.5 = 5(10 - Lx)^0.5

This equation represents the PPF for this economy.

(c) If labor is equally split between sector x and y, then Lx = Ly = 5. We can calculate the opportunity cost of x by comparing the change in output of y when one unit of labor is shifted from x to y.

Opportunity cost of x = Δy / Δx

To find Δy, we calculate the output of y when Lx = 4 (one unit less than the initial allocation of labor to x):

Δy = y(Lx = 4) - y(Lx = 5)

Substituting the values into the production function:

Δy = 5(10 - 4)^0.5 - 5(10 - 5)^0.5 ≈ 2.74

To find Δx, we calculate the output of x when Lx = 5:

Δx = x(Lx = 5) - x(Lx = 4)

Substituting the values into the production function:

Δx = 10(5)^0.5 - 10(4)^0.5 ≈ 2.89

Now we can calculate the opportunity cost of x:

Opportunity cost of x = Δy / Δx = 2.74 / 2.89 ≈ 0.95

So the opportunity cost of producing an additional unit of x is approximately 0.95 units of y.

(d) To find the optimal basket (x*, y*) in a closed economy, we need to maximize the consumer's utility function u(x, y) subject to the production constraint. Since the utility function is defined as the minimum of 0.5x and y, the consumer's optimal choice will depend on the relative prices of x and y.

To find the optimal basket, we need to compare the marginal utility of x (MUx) and the marginal utility of y (MUy) with the relative price of x to y (Px / Py). If MUx / Px = MUy / Py, the consumer is in equilibrium.

However, without information about the relative prices or a  budget constraint, we cannot determine the specific optimal basket (x*, y*) in this closed economy.

To know more about equilibrium visit:

https://brainly.com/question/984092

#SPJ11

Answer: B) y = -x^4

Work: I just plugged in the numbers into all the equations listed, and B worked correctly for them all, thus that's the correct answer.

I hope this helps, and Happy Holidays. :)

Answer:

10

Step-by-step explanation:

The equation to find how much money she did get(m = months) would be m x 75 x 2 = 1500. Well, we don't know the m variable. Let's work backwards to find it. First we must divide 1500 by 2. This is 750. Know we must divide 750 by 75. This is 10. There you go! Your answer is 10.

Answer:

1.42

Step-by-step explanation:

1.3+6/50

1.3 +0.12

1.42

Answer:

1.42

Step-by-step explanation:

6/50 is .12

1.3+.12 is 1.42

The proof of trigonometric identity (sin(x) + tan(x))/sin(x) = 1 +secx is given below.

The given trigonometric identity is,

(sin(x) + tan(x))/sin(x).

We know that tan(x) = sin(x)/cos(x), so we can substitute that in:

sin(x)/ sin(x) + sin(x)/cos(x) / sin(x)

We can simplify the fraction in the numerator:

sin(x)/ sin(x) + sin(x)/sin(x)cos(x)

We know that sin(x)/sin(x) = 1, so we can simplify further:

1+ 1/cos(x)

We know that 1/cos(x) = sec(x), so we can substitute that in:

1 + sec(x).

Now we have the same expression as the right-hand side of the identity, so we have proven that:

sin(x) + tan(x)/sin(x) = 1 + sec(x)

Therefore, (sin(x) + tan(x))/sin(x) = 1 +secx.

To learn more about trigonometric identities;

https://brainly.com/question/24377281

#SPJ1

Answer:

Step-by-step explanation:

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

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

y = 2x^3+x^2-3x-8x^2-4x+12

y = 2x^3-7x^2-7x+ 12

a : 2x^3

b : 2

c : 3

d

lim x-> +oo x^3(2-7/x-7/x^2 + 12/x^3)

lim x-> +oo  +oo(2-7/oo - 7/oo + 12/oo)

lim x->+oo   +oo(2-0-0+0)

lim x->+oo    +oo

lim x-> -oo x^3(2-7/x-7/x^2 + 12/x^3)

lim x-> -oo  -oo(2-7/-oo - 7/-oo + 12/-oo)

lim x-> -oo   -oo(2-0-0+0)

lim x-> -oo    -oo

e

y = 2x^3-7x^2-7x+ 12

y’ = [2(x+h)^3 - 7(x+h)^2 - 7(x+h) + 12 - 2x^3 +7x^2 + 7x - 12]/h

y’ = [2(x^3+h^3+3x^2h+3h^2x) -7(x^2+h^2+2xh)-7x-7h-2x^3+7x^2+7x]/h

y’ = [2x^3+2h^3+6x^2h+6h^2x-7x^2-7h^2-14xh-7h-2x^3+7x^2]/h

y’ = [2h^3+6x^2h+6h^2x-7h^2-14xh-7h]/h

y’ = h (2h^2 + 6x^2 + 6hx - 7h - 14x - 7)/h

y’ = 2h^2 + 6x^2 + 6hx - 7h - 14x - 7

lim h->0  (6x^2 - 14x - 7)

y’ = 6x^2 - 14x - 7

y’’ = [6(x+h)^2 - 14(x+h) - 7 - 6x^2 + 14x + 7]/h

y’’ = [6(x^2+h^2+2xh) -14x-14h -6x^2+14x]/h

y’’ = [6x^2+6h^2+12xh-14h-6x^2]/h

y” = h(6h+12x-14)/h

y” = 6h + 12x - 14

lim h->0 (12x-14)

y” = 12x -14

12x - 14 = 0

6x - 7 = 0

x = 7/6

(2 *7/6+3)(7/6-1)(7/6-4)

(7/3 + 3) ( 1/6) (-17/6)

(16/3)(-17/36)

4/3 * -17/9

-68/27

turning point (7/6 ; -68/27)

f

(2x + 3)(x - 1)(x - 4) = 0

x = -3/2

x = 1

x = 4

A( -3/2,0)

B (1,0)

C (4,0)

g

y= 12

D (0, 12)

Answer:

a.  2x³

b.  2

c.  3

d.  As x → -∞, f(x) → -∞.   As x → ∞, f(x) → ∞.

e.  (-0.4, 13.6) and (2.8, -18.6).

f.  (-1.5, 0),  (1, 0),  (4, 0)

g.  (0, 12)

h.  See attachment.

Step-by-step explanation:

Given polynomial:

\(y=(2x+3)(x-1)(x-4)\)

Leading term and Leading coefficient

The given polynomial is in factored form.

To find the leading term and the leading coefficient, simply multiply the variable terms of the factors:

\(\implies 2x \cdot x \cdot x = 2x^3\)

Therefore:

Degree of the polynomial

The degree of the polynomial is the exponent of the leading term.

Therefore, the degree of the given polynomial is 3.

End behaviour

As the degree of the polynomial is odd and the leading coefficient is positive, the end behaviour of the function is:

Turning points

The x-values of the turning points are when the derivative of the function equals zero.

Expand the polynomial:

\(\implies y=(2x+3)(x-1)(x-4)\)

\(\implies y=(2x+3)(x^2-5x+4)\)

\(\implies y=2x^3-10x^2+8x+3x^2-15x+12\)

\(\implies y=2x^3-7x^2-7x+12\)

Differentiate:

\(\implies \dfrac{\text{d}y}{\text{d}x}=6x^2-14x-7\)

Set it to zero and solve for x:

\(\implies 6x^2-14x-7=0\)

Solve using the quadratic formula:

\(\implies x=\dfrac{-(-14) \pm \sqrt{(-14)^2-4(6)(-7)}}{2(6)}\)

\(\implies x=\dfrac{14 \pm \sqrt{364}}{12}\)

\(\implies x=\dfrac{14 \pm 2\sqrt{91}}{12}\)

\(\implies x=\dfrac{7\pm \sqrt{91}}{6}\)

\(\implies x \approx-0.4, \;2.8\; \; \sf (1\;d.p.)\)

Substitute the found values of x into the original polynomial to find the y-values of the turning points:

\(x=\dfrac{7- \sqrt{91}}{6}\implies y=13.6\; \; \sf (1\;d.p.)\)

\(x=\dfrac{7+ \sqrt{91}}{6}\implies y=-18.6\; \; \sf (1\;d.p.)\)

Therefore, the turning points of the polynomial (to the nearest tenth) are:

x-intercepts

The x-intercepts are when the function equals zero.

As the function is already in factored form, simply equal each of the factors to zero and solve for x:

\(\implies (2x+3)=0 \implies x=-1.5\)

\(\implies (x-1)=0 \implies x=1\)

\(\implies (x-4)=0 \implies x=4\)

Therefore, the x-intercepts are:

y-intercept

The y-intercept when x = 0:

\(\implies y=(2(0)+3)(0-1)(0-4)\)

\(\implies y=3 \cdot -1 \cdot -4\)

\(\implies y=12\)

Therefore, the y-intercept is:

Sketch the graph

To sketch the graph:

the support of the itemset {Latte, Scone} is 0.4.

c) 0.30 (incorrect, correct answer is 0.4)

There are 4 transactions that contain both Latte and Scone:

001 Latte, Scone, Muffin

005 Scone, Latte, Muffin

006 Latte, Scone, Fruit Cup

010 Latte, Muffin, Cookie

There are a total of 10 transactions, so the proportion of transactions that contain both Latte and Scone is \(4/10 = 0.4.\)

The support of an association rule is defined as the proportion of transactions in the dataset that contain both the antecedent and the consequent of the rule. In this case, we don't have a specific rule, but we have calculated the support of the itemset {Latte, Scone}.

for such more questions on transactions

https://brainly.com/question/26138968

#SPJ11

The equivalent expression of the expression are as follows:

2(m + 3) + m - 2 = 3m + 4

5(m + 1) - 1 = 5m + 4

m + m + m + 1 + 3 = 3m + 4

Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.

Two algebraic expressions are equivalent if they have the same value when any number is substituted for the variable.

Therefore,

2(m + 3) + m - 2

2m + 6 + m - 2

2m + m + 6 - 2

3m + 4

5(m + 1) - 1

5m + 5 - 1

5m + 4

m + m + m + 1 + 3

3m + 4

Learn more on equivalent expression here: https://brainly.com/question/12211497

#SPJ1

Answer:

(6, -7)

(2, 1)

(-4, 13)

Step-by-step explanation:

2х + y = 5  ⇒ y= 5-2x

Зу = 15 – 6х ⇒ y= 5-2x

Both equations are same so any point satisfying one of them is the solution.

(6, -7)

(2, 1)

(-2, -9)

(-4, 13)

So 3 of given points satisfy the equation

Answer:

7.393691004

Step-by-step explanation:

7.4 is the standard deviation from the following set of observation 20, 25, 30, 36, 32, 43​

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The given data set is 20, 25, 30, 36, 32, 43​

Firstly we have to find the mean

Mean=20+25+30+36+32+43/6

=186/6

=31

The deviations from the mean are 20-31=-11

25-31=-6

30-31=-1

36-31=5

32-31=1

43-31=12

Using the definition of standard deviation (σ) , we have:

σ=√121+36+1+25+1+144/6

σ=√328/6

σ=√54.66=7.4

Hence, 7.4 is the standard deviation from the following set of observation 20, 25, 30, 36, 32, 43​

To learn more on Statistics click:

https://brainly.com/question/29093686

#SPJ2