Rate of change and slope. Can anybody help me? This is a major and I do not understand the problem.

The given function is f(x) = 15(1.02)^x, where x is the number of years from the date at which money is initially deposited.

This means that $15 were initially deposited into the account, and the amount grows at an annual rate of 2% (which is represented by 1.02 being raised to the power of x).

Therefore, the correct answer is: $15 were initially deposited into the account, which grows at an annual rate of 2%.

Hope I helped you...

Answer:

0=0

Step-by-step explanation:

The expressions given in option A and option C on solving will have same value 3/2 or 1.5.

Numeric values can be obtained through the evaluation of numeric expressions, which consist of a mixture of numeric components including variables, numbers or functions, and operators. A blend of arrays and mathematical operators can be present within an expression to derive a numeric solution.

Now solving numerical expressions in the problem (refer to image attached)

A. \(\frac{1}{6} +(\frac{5}{6}+\frac{3}{6} ) = \frac{1+5+3}{6} = \frac{9}{6} =\frac{3}{2} =1.5\)

B. \(\frac{1}{3}+ \frac{5}{3}+ \frac{2}{3} =\frac{1+5+2}{3} =\frac{9}{3} =3\)

C. \(\frac{3}{5} +(\frac{1}{2} +\frac{2}{5} )=\frac{15}{10} =\frac{3}{2} =1.5\)

D. \(2+\frac{1}{2} =\frac{4+1}{2} =\frac{5}{2} =2.5\)

Hence, expressions in option A and option C have same values

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Answer:

4 + y = 36

y = 36 - 4

y = 32

Answer:4+y=-36

Step-by-step

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Are you given does types of quadrilateral

because if not you won't be able to answer the question

But if you are given send them and will take it from the

Answer:

D.414...................

The linear correlation coefficient unknown population is denoted by the statistic r and correlation strength is denoted by the parameter p, respectively.

As a result, correlations are generally portrayed by the two integers r and p. A number of +1 denotes a fully linearly positive correlation, while a number of -1 denotes a fully linearly negative connection. The correlation coefficient has a range of -1 to +1. The linear correlation becomes weaker as r approaches closer to zero.

The sample correlation coefficient evaluates the scatter plot points and a linear regression line constructed from those points (r). The correlation coefficient, denoted as r, ranges in value from -1 to 1. A p-value is a measure of statistical significance.

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Applying the knowledge of algebraic equations, we have:

21. x = -5

23. x = -2

24. 35, 37, 39

27. W = V/LH

28.  B = (A - PH)/2

In algebra, to solve for any variable, we have to make the variable the subject of the formula by isolating the variable to one side of the algebraic equation.

21. Let the unknown number = x. The algebraic equation that would be used to find x is:

x - 6 = -11

Solve for x

x = -11 + 6

x = -5

23. Let the unknown number = x. Thus, the algebraic equation to be created to find x would be:

5x - 1 = -11

Solve for x

5x = -11 + 1

5x = -10

x = -10/5

x = -2

24. Odd numbers cannot be divided by 2 without a remainder, so, the consecutive odd numbers that have a sum of 111 are: 35, 37, 39

27. V = LWH

Solve for W

V/LH = W

W = V/LH

28.  A = PH + 2B

Solve for B in the equation

A - PH = PH + 2B - PH

A - PH = 2B

Divide both sides by 2

(A - PH)/2 = B

B = (A - PH)/2

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Answer:

21:x=17

23:x=-2

24:35,37,39

27:V/LH

28:B=(A-PH)/2

Step-by-step explanation:

21: To find the difference between 6 and -11, you can do 6-(-11). Since the two negatives cancel out into positive, it will become 6+11 which is 17.

23: So we know that -11 is 1 added to 5 times a number. Let's just use x for the number. So we have 5x+(-1)=-11 or 5x -1=-11. So we move the negative 1 to the other side and make the sign in front of it a positive. It would look like this: 5x=-11+1, which is also 5x=-10, so x=10/5 or -2.

24: You first do 111/3 which is 37. Then on the left side, you take away to from 37 since it wants it to be odd, and on the right side, you add 2 to get 39. So, it will look like: 35,37,39.

27: V=LWH, W=V/LH.

28: A - PH = PH + 2B - PH, A - PH = 2B, (A - PH)/2 = 2B/2, B = (A - PH)/2.

Answer:

3x^4-x^3+6x^2+7x-3

Step-by-step explanation:

(x^2-x+3)(3x^2+2x-1)

3x^4-3x^3+9x^2+2x^3-2x^2+6x-x^2+x-3

3x^4-3x^3+2x^3+9x^2-2x^2-x^2+6x+x-3

3x^4-x^3+6x^2+7x-3

Answer:

Sample 1

ATTCGACGTC

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Sample 2

GATAGCTAGG

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Answer:

The line are perpendicular

Step-by-step explanation:

when two lines are parallel m1= m2(slopes are equal) ;while m1 = -1/m2 when they are perpendicular. m1 = (using the formula y=mx + c) y = -2x +6; m1 = -2 ; m2 ( using y = mx +c) ; 2y = x - 4 ( divide both sides by 2) y = 1/2x -2 ; m2 =1/2 ; 1/2 is not equal to -2 but 1/2 = -1/-2 so it is perpendicular

Answer:

\(\frac{3}{2}\)

Step-by-step explanation:

let n be the number , then

\(\frac{1}{3}\) n = \(\frac{1}{2}\) ( multiply both sides by 3 )

n = 3 × \(\frac{1}{2}\) = \(\frac{3}{2}\)

Taking into account definition of perimeter and system of equations,  the length and width of the frame is 32 inches and 21 inches respectively.

The perimeter of a two-dimensional figure is the distance around the figure. That is, the perimeter of a flat geometric figure is called the length of its contour.

So, the perimeter is the measurement obtained as a result of the sum of the sides of a flat geometric figure. So to calculate the perimeter of a figure it is necessary to know two basic variables:

A rectangle is a flat geometric figure with four sides, of which two sides that are opposite parallel to each other have the same length and the remaining two have another length. The expression to calculate the perimeter of a rectangle is:

Perimeter= 2×(length + width)

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, a system of linear equations must be proposed taking into account that:

You know that:

So, the system of equations to be solved is

\(\left \{ {{2x(L+W)=106} \atop {L=2xW-10}} \right.\)

From the several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, substituting the second equation in the first one you get:

2×(2×W - 10 + W)=106

Solving:

2×(3×W - 10)=106

2×3×W - 2×10=106

6×W - 20=106

6×W=106 + 20

6×W=126

W=126 ÷6

W= 21

Remembering that L= 2×W - 10, you get:

L= 2×21 - 10

Solving:

L= 32

Finally, the length and width of the frame is 32 inches and 21 inches respectively.

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There are 26 zeros in this number when it is written in standard notation. The correct answer is option (A). The mass of the sun is estimated to be 1.9891 x 10³⁰kg. To determine the number of zeros in this number when written in standard notation, we need to first convert it to standard form.

In standard form, the number is expressed as a decimal between 1 and 10 multiplied by a power of 10. To convert the given number to standard form, we move the decimal point 30 places to the right because the exponent is positive 30. This gives us 1989100000000000000000000000000. As we can see, there are 27 digits in this number. Therefore, there are 27-1=26 zeros in this number when it is written in standard notation.

In conclusion, the answer is A, 26. This type of question is commonly asked in science and engineering, where large or small numbers are expressed in scientific notation for convenience. Understanding how to convert between scientific notation and standard form is important for anyone studying or working in these fields.

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There are 364 different committees of 3 people. There are 436 different committees of 4 people.

There are different scenarios for which we can calculate the number of possible committees. Here are a few examples:

To calculate the number of different committees of 3 people, we can use the combination formula, which is:

\(${n \choose k} = \frac{n!}{k!(n-k)!}$\)

where n is the total number of people and k is the number of people needed for the committee. Using this formula, we get:

\(${14 \choose 3} = \frac{14!}{3!(14-3)!} = \frac{14!}{3!11!} = 364$\)

Therefore, there are 364 different committees of 3 people that can be formed from this group.

To solve this problem, we can use the principle of inclusion-exclusion. First, we calculate the total number of committees of 4 people, which is:

\(${14 \choose 4} = \frac{14!}{4!(14-4)!} = \frac{14!}{4!10!} = 1001$\)

Next, we calculate the number of committees that do not include a freshman, which is:

\(${12 \choose 4} = \frac{12!}{4!(12-4)!} = \frac{12!}{4!8!} = 495$\)

Similarly, we calculate the number of committees that do not include a sophomore, a junior, and a senior, which are:

\(${11 \choose 4} = \frac{11!}{4!(11-4)!} = \frac{11!}{4!7!} = 330$\)

\(${10 \choose 4} = \frac{10!}{4!(10-4)!} = \frac{10!}{4!6!} = 210$\)

\(${9 \choose 4} = \frac{9!}{4!(9-4)!} = \frac{9!}{4!5!} = 126$\)

Now we can apply the principle of inclusion-exclusion, which is:

Total number of committees - (number of committees without a freshman + number of committees without a sophomore + number of committees without a junior + number of committees without a senior) + (number of committees without a freshman and without a sophomore + number of committees without a freshman and without a junior + number of committees without a freshman and without a senior + number of committees without a sophomore and without a junior + number of committees without a sophomore and without a senior + number of committees without a junior and without a senior) - number of committees without any freshmen, sophomores, juniors, or seniors.

Plugging in the values, we get:

$1001 - (495 + 330 + 210 + 126) + (66 + 120 + 165 + 84 + 55 + 35) - 1 = 436$

Therefore, there are 436 different committees of 4 people that can be formed, with at least one person from each grade level.

Note that for the last step, we subtracted 1 because there is only one committee that has no freshmen, sophomores, juniors, or seniors.

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Step-by-step explanation:

in my opinion, yes it would.

The expression is 8n – 3; The 100th term is 797

The nth term of an arithmetic sequence is given by:

an=a1+(100-1)d          ....[1]

where

a1  is the first term

d is the common difference of two consecutive terms.

n is the number of terms.

Given the sequence:

5, 13, 21, 29, 37, 45, …

This is an arithmetic sequence with first term  = 5 and common difference(d) = 8

Since;

13-5 = 8,

21-13 = 8,

29-21 = 8  and so on....

We have to find the 100th term in the sequence

Substitute in [1] we have;

an=a1+(100-1)d

an=5+(n-1)8=5+8n-8 = 8n-3

Substitute the given values and n=100 we have;

a100= 800 - 3 = 797

Therefore, the 100th term in the sequence is, 797 and an expression to describe a rule for the sequence is, 8n – 3;

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Answer:

Your answer should be x = \(\frac{48}{7}\).

Hope this helps.

Answer:

x is about 6.857 or 48/7

Step-by-step explanation:

to do this we cross multiply

42/18=16/x

42x=18(16)

42x=288

x=6.857

Hopes this helps please mark brainliest

A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t² + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s.

the solution to be eliminated is -0.2s this is because time do not have negative values

ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a.

It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be real or complex.

Considering the given function, the answer is both real one is negative the other is positive.

The solution in this case represents time, and time of negative value do not apply in real life

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Answer:

Is there a question?

Step-by-step explanation:

If it is, by the way I look at it, To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Answer:

3x - 6

Step-by-step explanation:

Answer:

The answer is -6

Step-by-step explanation:

Because when you time 3 bye a negative 2 you get a negative 6

His sister will be 47 years old.

Now, According to the question:

To find Joshua's sisters age when Joshua is 23 years old. We are given that Joshua is currently 12 years old and that his sister is three times as old as he is.

3 × 12 = 36

We have that his sister's current age is 36 years old.

We want to know how old she will be when Joshua is 23 years old. Since Joshua is currently 12 years old,

23 - 12 = 11

We have that in 11 years, Joshua will be 23 years old.

So we want to know what his sister's age will be in 11 years.

To find this, we simply add 11 to her current age of 36.

36 + 11 = 47

We get that in 11 years, his sister will be 47 years old, so when Joshua is 23 years old, his sister will be 47 years old.

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The answer is 5. Because all you have to do is just divide -45 by -9.

Answer:

Step-by-step explanation:

-3/8y = -24

-3y = -24 (8)

y = -192 / -3

y = 64

A well-balanced long hair design should consider the proportional relationships between size, shape, texture, and color to create a harmonious and visually pleasing hairstyle that flatters the client's features and personal style.

When planning a well-balanced long hair design, it is important to consider the proportional relationships between size, shape, texture, and color. These four elements work together to create a harmonious and visually pleasing hairstyle.

Size refers to the overall scale of the hairstyle, which can range from small and delicate to large and voluminous. It's important to consider the size of the client's head and face, as well as the desired level of impact.

Shape refers to the outline or silhouette of the hairstyle, which can be angular or rounded, symmetrical or asymmetrical. The shape should be chosen to flatter the client's face shape and features, as well as to create a balanced overall look.

Texture refers to the surface quality of the hair, which can be smooth or rough, sleek or tousled. Texture can be used to add interest and movement to the hairstyle, and should be chosen to complement the client's natural hair texture and the overall design.

Color refers to the hue, saturation, and tone of the hair, which can range from natural to bold and vibrant. Color can be used to enhance the shape and texture of the hairstyle, and should be chosen to flatter the client's skin tone and personal style.

In summary, a well-balanced long hair design should consider the proportional relationships between size, shape, texture, and color to create a harmonious and visually pleasing hairstyle that flatters the client's features and personal style.

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