You start a savings account with $200 and save $30 each month. Let f(n) be the amount in the account before the nth month. How much money will you have invested at one year?

Answer:

it's the first one

Step-by-step explanation:

I got it right on edge

The requried, expression to find the value of the given expression when x =-2 and y = 5 is 3²(-2)⁶/5⁴. Option A is correct.

In order to remove pointless terms, factors, or operations from an expression, arithmetic, and algebraic principles are applied. The objective is to get an expression that is simpler to use, manipulate, or solve. For instance, factoring, merging like terms, or applying the distributive property can all be used to simplify an algebraic statement.

Here,
Given expression,
= (3x³y⁻²)²

To find the solution of the above expression given value of x and y,
= (3(-2)³(3)⁻²)²
= (3²(-2)⁶/3⁴)

Thus, the required expression to find the value of the given expression when x =-2 and y = 5 is 3²(-2)⁶/5⁴. Option A is correct.

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Answer:

the answer is 3x the width

Step-by-step explanation:

2/3 hours every day for 3 days.

so, for the total hours we need to multiply 2/3 by 3 (3 times 2/3 hours) :

3 × 2/3 = 2 hours

you can get there directly by saying that the factor of 3 and the denominator of 3 are canceling each other out. what is left is 2 in the numerator.

or you can do the full calculation and say

3 × 2/3 = 3×2/3 = 6/3 = 2

The population was 6.98 million in 1900. The population of New York decreased with respect to time.

What is an exponential function?

An exponential function is a mathematical function with the formula f (x) = axe, where "x" is a variable and "a" is a constant that is called the function's base and must be greater than zero. The transcendental number e, which is approximately equal to 2.71828, is the most commonly used exponential function base.

The population of New York state can be modeled by

\(P(t)=\frac{19.71}{1+61.22e^{-0.03513t}}\)

P is the population and t is the number of years since 1800.

The difference between the year 1900 to 1800 is 100.

Putting t = 100 in the given model:

\(P(t)=\frac{19.71}{1+61.22e^{-0.03513\times 100}}\)

\(P(t)=\frac{19.71}{1+61.22e^{-3.513}}\)

P(t) = 19.71/2.8248

P(t) = 6.9774

P(t) = 6.977 (rounded to the nearest thousands)

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Step-by-step explanation:

729 = 9³ = (3²)³ = 3⁶

I hour that is what you needed.

Step-by-step explanation:

I think...

18×9=9×18

hope it helps

Answer:

-15(4) or -4(15) or 15(-4)

Step-by-step explanation:

As long as you stick with the same variables, you can change their position in the equation or change both of their signs. This should give you the same answer.

Let's say your equation was -2(6). This means you must multiply -2 and 6. This should give you -12. You could also phrase it as 2(-6) or -6(2) or 6(-2). They all give you -12 as a result.

Answer:

(-1)(15+15+15+15)

(-15)+ (-15)+ (-15)+ (-15)

Step-by-step explanation:

We have a table of values that shows the ages of two individuals. The data can be written out as an ordered pair as follows;

The equation is now represented on a graph as shown;

Answer:

maybe is number d trust me I did it rn for my test

Answer: b

Step-by-step explanation:

Answer:-4.86

Step-by-step explanation:.

Answer:

The last one

Step-by-step explanation:

The maximum total value that can be put in the knapsack is 220.

def knapSack(W, weight, val, n):

   K = [[0 for w in range(W + 1)] for i in range(n + 1)]

   # Build table K[][] in bottom up manner

   for i in range(n + 1):

       for w in range(W + 1):

           if i == 0 or w == 0:

               K[i][w] = 0

           elif weight[i-1] <= w:

               K[i][w] = max(val[i-1] + K[i-1][w-weight[i-1]],  K[i-1][w])

           else:

               K[i][w] = K[i-1][w]

   return K[n][W]

# The weight and value arrays

val = [60, 100, 120, 40]

weight = [2, 4, 6, 3]

n = len(val)

W = 10

print(knapSack(W, weight, val, n))  # It will print 220

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With W = 10, Val = [60, 100, 120, 40], and Weight = [2, 4, 6, 3], the maximum value subset with the given constraints is 220.

To solve this problem, we can use the 0-1 Knapsack algorithm. The algorithm works as follows:

Create a 2D array, dp[n+1][W+1], where dp[i][j] represents the maximum value that can be obtained with items 1 to i and a knapsack capacity of j.

Initialize the first row and column of dp with 0 since with no items or no capacity, the maximum value is 0.

Iterate through the items from 1 to n. For each item, iterate through the capacity values from 1 to W.

If the weight of the current item (weight[i]) is less than or equal to the current capacity (j), we have two options:

a. Include the current item: dp[i][j] = val[i] + dp[i-1][j-weight[i]]

b. Exclude the current item: dp[i][j] = dp[i-1][j]

Take the maximum of the two options and assign it to dp[i][j].

The maximum value that can be obtained is dp[n][W].

In this case, with W = 10, Val = [60, 100, 120, 40], and Weight = [2, 4, 6, 3], the maximum value subset with the given constraints is 220.

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Answer:

D

Step-by-step explanation:

when x=1, y should = 2

2(1)=2

so y=2x is correct

The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.

Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.

For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.

It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

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There are 10,000 probability codes if the four digits can be repeated, as each digit has 10 possible options (0-9). This ensures that customers have a secure and safe way to access their storage containers.

In the event that the four numbers can be repeated, there are 10,000 potential codes. This is because there are 10 potential values for each digit (0-9). If you multiply all the possible options of each number you get 10x10x10x10 which equals 10,000. This means there are 10,000 possible combinations of four digits when the numbers can be repeated. For example, 0000, 1111, 2222, 3333, 4444, 5555, 6666, 7777, 8888, 9999 and all their different combinations with the numbers 0-9 in between them. With this many choices, it can be hard to remember your specific code. However, it also means that there is a low risk of someone else guessing your code. The Store-It-All storage facility is ensuring that their customers have a secure and safe way to access their storage containers.

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Answer:

(0,0)

Step-by-step explanation:

a diameter means The average of two measurements of the diameter taken at right angles to each other. so if you try graphing you will be able to find out its (0,0) is the center of the circle coordinates

The coordinates of the center of this circle is (0,0).

The center of a circle is the midpoint of the diameter. So, by using the midpoint formula, if the endpoints of the diameter are (a, b) and (c, d), then the coordinates of the center of circle are [(a + c)/2, (b + d)/2].

According to the question

The endpoints of the diameter of a circle are (6, 0) and (-6, 0).

now ,

(a,b) =  (6, 0)

(c, d)= (-6, 0)

coordinates of the center of circle = [ \(\frac{a+c}{2} ,\frac{b+d}{2}\) ]

⇒ \(\frac{6-6}{2} ,\frac{0+0}{2}\)

⇒ (0,0)

Hence, the coordinates of the center of this circle is (0,0).

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Answer:\(98.13\ \text{or}\ 261.87^{\circ}\)

Step-by-step explanation:

Given

\(\cos \beta =-\dfrac{\sqrt{2}}{10}\)

As the value of cosine is negative, therefore the angle must lie in II or III quadrant

\(\Rightarrow \beta =\cos^{-1}(-\dfrac{\sqrt{2}}{10})\\\Rightarrow \beta=\cos^{-1}(-0.14142)\\\Rightarrow \beta =98.13^{\circ}\ \text{or}\ 270^{\circ}-8.13\\\Rightarrow \beta=98.13^{\circ}\ \text{or}\ 261.87^{\circ}\)

\(\text{Given that,}\\\\x^2 + \dfrac1{x^2} = 38\\\\\\(i)\\\\\left(x-\dfrac 1x \right)^2 = x^2 + \dfrac 1{x^2} - 2 \cdot x \cdot \dfrac 1x\\\\\\\implies \left(x-\dfrac 1x \right)^2 = 38 -2 = 36\\\\\implies x - \dfrac 1x = \pm\sqrt{36} = \pm 6 \\\\\\(ii)\\\\x^2 + \dfrac 1{x^2} = 38\\\\\\\implies \left(x^2 + \dfrac 1{x^2} \right)^2 = 38^2\\\\\\\implies x^4 + \dfrac 1{x^4} + 2\cdot x^2 \cdot \dfrac 1{x^2} = 1444\\\\\\\implies x^4 + \dfrac 1{x^4} + 2 = 1444\\\\\\\)

\(\implies x^4 +\dfrac 1{x^4} = 1444-2 = 1442\)

The picture is really blurry for me. I can't read it...

Given:

a.) A plot of land for sale has a width of x ft. and a length that is 8 ft. less than its width.

b.) A farmer will only purchase the land if it measures 240 ft.

From the given description of the measurement of the land, we generate the following equations:

Width = w

Length = w - 8

Area of the Land = 240 ft.^2

Area = Width x Length

240 = (w)(w - 8)

240 = w^2 - 8w

w^2 - 8w - 240 = 0

Question 1: Create an equation in terms of w that models this situation.​

Answer: 240 = w^2 - 8w

Factoring out 240 = w^2 - 8w, we get:

240 = w^2 - 8w

w^2 - 8w - 240 = 0

w^2 - 8w - 240 = 0 → (w - 20)(w + 12) = 0

First possible measure of the width,

w - 20 = 0

w = 20 ft.

Second possible measure of the width,

w + 12 = 0

w = -12 ft.

A dimension must never be a negative value, therefore, the width must be equal to 20 ft.

Let's determine the length,

Length = w - 8

= 20 - 8

Length = 12 ft.

Summary:

The equation that models the situation: 240 = w^2 - 8w or w^2 - 8w = 240

The measure of the length = 12 ft.

The measure of the width = 20 ft.

Answer:

3

Step-by-step explanation:

she will need 84 apples total so you do 84/32 and u get aroubd 2.6. You then round up to three because you can't have half a bag

The remote interior angles of <5 are given as follows:

A. <2.

C. <1.

The remote interior angles of an exterior angle in a triangle are the angles that do not share a vertex with the given exterior angle.

The internal angles of the triangle in this problem are given as follows:

<1, <2 and <3.

Angle 3 shares a common vertex with the angle 5, hence it is not a remote interior angle.

The other interior angles, <1 and <2, do not share any vertex with <5, hence they are the remote interior angles.

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Answer:

3 sqrt 5     ( or  6.7082039    as posted in earlier A )

Step-by-step explanation:

sqrt ( 5) ( 5-2)   = 3sqrt 5

Answer:

\(9\ m/s^2\)

Step-by-step explanation:

For a moving object, the force acting on the object varies directly with the object's acceleration.

F ∝ a

or

\(\dfrac{F_1}{a_1}=\dfrac{F_1}{a_2}\)

Put F₁ = 8 N, a₁ = 4 m/s², F₂ = 18 N and a₂ = ?

Put all the values,

\(\dfrac{8}{4}=\dfrac{18}{a_2}\\\\2=\dfrac{18}{a_2}\\\\a_2=9\ m/s^2\)

So, the new acceleration is \(9\ m/s^2\).

Answer:

-2,3

Step-by-step explanation:

Answer:

Alternative C - Has two unequal real roots and two unequal complex roots

Step-by-step explanation:

The roots of this equation are:

(solved using the computer):

As we can see, we have two unequal real roots and two unequal complex roots.

Alternative C.

Using the concept of the equation, it can be concluded that Levi answered the first question wrong and the last two correctly. Thus,

No

Yes

Yes

To check the value of x satisfies the equation, put the value of x and if it matches the resultant, it is correct.

Now solving the first part, x/4=20;x=5

So, putting x=5 in the equation 5/4=1.25 is not matching with the resultant ie. 20.

Therefore, this is the incorrect value of x.

Now solving the second part, 1.5x-8=7;x=10

So, putting x=10 in equation 1.5*10-8= 15-8=7

It matches with the resultant.

Therefore, this is the correct value of x.

Now solving the third part, 4x+6=58; x=13

So, putting x=13 in equation 4(13)+6= 52+6=58

It matches with the resultant.

Therefore, this is the correct value of x.

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Standard form

\(\\ \rm\rightarrowtail y=-4(x+5)^2+4\)

\(\\ \rm\rightarrowtail y=-4(x^2+10x+25)+4\)

\(\\ \rm\rightarrowtail y=-4x^2-40x-100+4\)

\(\\ \rm\rightarrowtail y=-4x^2-40x-96\)

Answer:

\(y=-4x^2-40x-96\)

Step-by-step explanation:

Standard form of a quadratic function:  \(y=ax^2+bx+c\)

Given function:

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

Apply Perfect Square formula \((a+b)^2=a^2+2ab+b^2\) to \((x+5)^2\)

\(\implies y=-4(x^2+10x+25)+4\)

Expand brackets:

\(\implies y=-4x^2-40x-100+4\)

Simplify:

\(\implies y=-4x^2-40x-96\)

We can make use of a slope field to sketch the two approximate solutions of the differential equation. The slope field for the differential equation is dy/dx.

a) We will now mark the point (0,4) on the slope field as shown in the image below.

Solution 1: We will begin at the point (0, 4) and move along the slope lines to obtain the first solution. This first solution is shown in blue in the image below,

Solution 2: For the second solution, we will begin at the point (0,4) and move along the slope lines in the opposite direction to obtain the second solution. This second solution is shown in red in the image below.

Substituting x = 0 and y = 4, we get: 4 = sin(0) + C4 = 0 + CC = 4

Therefore, the particular solution is: y = sin(x) + 4

Below is the graph of the solution: Graph of y = sin(x) + 4

We can compare this graph of the particular solution with the sketches in part (a).

The graph of the solution matches the first solution in blue.

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