2^15 divided by 2^3 is represented by what power of 2?

Solution :

Amount of money Victoria has = $200

The amount modelled by function = h(x) = 200

According to the function,

s(x) = (1.05)x - 1

It means that the total amount of the interest that Victoria will receive s(x) is equal to original amount of $200 which multiplied by the rate of interest (1.05) and then multiplied by the time that Victoria keeps the money in the bank (x) minus 1.

The total amount of money she will have in her bank account as interest accrues after she deposits her $200 is 200 \((1.05)^{x-1}\)

THe standrd exponential function is exprressed as:

y = a(1±r)^t

Given the following parameters

h(x) = a = 200

s(x) = \((1.05)^{x-1}\)

Combining both expressions will given 200 \((1.05)^{x-1}\)

Hence the total amount of money she will have in her bank account as interest accrues after she deposits her $200 is 200 \((1.05)^{x-1}\)

Learn more on exponential function here: https://brainly.com/question/12940982

To solve for t2 in the equation t2/t1=(p2/p1)^(n-1/n), we can cross-multiply to get t2=(p2/p1)^(n-1/n) * t1.


In the given equation, t2/t1 represents the ratio of two temperatures, while (p2/p1)^(n-1/n) is a ratio of pressures raised to a power. The exponent of (n-1/n) in the equation represents the ratio of specific heats, which is a constant value for a given gas. Thus, we can rewrite the equation as t2/t1= (p2/p1)^k, where k = (n-1/n).

To solve for t2, we can multiply both sides of the equation by t1, which gives us t2= (p2/p1)^k * t1.


Therefore, the equation to solve for t2 is t2= (p2/p1)^(n-1/n) * t1.

To know more about equation, visit:

https://brainly.com/question/29657983

#SPJ11

Answer:

Step-by-step explanation:

Area of a rectangle = (l*b)

= (2x+5)(x+y+2)

= 2x*x + 2x*y + 2x*2 + 5*x + 5*y + 5*2

= 2x^2+2xy+9x+5y+10

Hope you understood!!

Answer:

2x² + 2xy + 9x + 5y + 10 units²

Step-by-step explanation:

The formula for area of rectangle is Length x Base.

We need to expand the given equation.

(2x + 5) (x + y + 2)

First, multiplying 2x with x, y & 2, we get,

2x² + 2xy + 4x. ------ (1)

Now, multiplying 5 with x, y & 2, we get,

5x + 5y + 10. ------- (2)

Adding 1 and 2,

=> 2x² + 2xy + 4x + 5x + 5y + 10

=> 2x² + 2xy + 9x + 5y + 10 units²

Hope it helps :)

The required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial and trinomial, etc. ax+b is a polynomial.

here,
= (3x² + x - 4)(2x - 5)
= [6x³-13x² - 13z + 20]

Thus, the required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.

Learn more about polynomial functions here:

https://brainly.com/question/12976257

#SPJ2

Answer:

Each of the diagonals is 16

Step-by-step explanation:

The diagonals of a rectangular are equal

The two diagonals are QS and RT

QS = RT

→ 30 - 2x = 9 + x

Subtract 30 both sides:
30 - 30 - 2x = 9  -  30 + x

- 2x  = -21  + x

Subtract x both sides
-2x - x = -21 + x  -  x

-3x = -21

x = -21/-3 = 7

So the diagonal RT = 9 + 7 =16

should be the same as diagonal QS
Qs = 30 - 2(7) = 30 - 14 = 16

There is no mode of the number of girl in the three classes.

The value that appears the most frequently in a data collection when it is unique is known as the mode, and like the median and mean, it can be used to measure central tendency. However, occasionally there is either no mode or more than one mode.

Given:

The data for boys: 15, 12, 12

The data for Girls: 14, 12, 16

As, mode is the most repeating data.

We can see that the data repeats in boys but not for the Girls.

So, number of boys have the mode but the number of girls do not have the mode.

Learn more about Mode of the Data here:

https://brainly.com/question/22660714

#SPJ9

Answer:

x3(2x5)-4(2x5

Step-by-step explanation:

Hope that helps

Answer:

B) x3(2x + 5) – 4(2x + 5)
Included the whole page!!

☆
EDGE2022; Good Luck :3!!!

Answer:

7/10

Step-by-step explanation:

Step-by-step explanation:

The deck of 52 playing cards is broadly classified into 2 which are further divided into 2 divisions.

Red(26 cards) and Black(26 cards).

The red cards are further divided into diamonds♦️ (13 cards) and hearts♥️ (13 cards).

The black cards are further divided into clubs ♣️(13 cards) and spades ♠️ (13 cards).

In each division of 13 cards classified above, there are/is-

3 face cards- King, Queen, Jack

One ace card

9 number cards(numbered from 2–10)

The expression which represents the amount Gabe spent at the mall will be 18.58k + 52.

The amount that Gabe spent if he bought 3 items will be $107.74.

From the information, Gabe goes to the mall. If k is the number of items he bought, the expression 18.58k+30 gives the amount he spent in dollars at one store and he spent 22 dollars at another store.

The expression which represents the amount Gabe spent at the mall will be:

= 18.58k + 30 + 22

= 18.58k + 52

The amount that Gabe spent if he bought 3 items will be:

= 18.58k + 52

= 18.58(3) + 52

= $107.74

Learn more about expressions on

brainly.com/question/723406

#SPJ1

The amount of money we can make is $0.05.

We have,

P= $710

R= 5.1%

T= 12 year

Compounded Continuously:

A = P\(e^{rt\)

A = 710.00(2.71828\()^{(0.051)(12)\)

A = $1,309.32

Compounded Daily:

A = P(1 + r/n\()^{nt\)

A = 710.00(1 + 0.051/365\()^{(365)(12)\)

A = 710.00(1 + 0.00013972602739726\()^{(4380)\)

A = $1,309.27

Learn more about Compound Interest here:

https://brainly.com/question/14295570

#SPJ1

The equivalent ratio to tan F  in  right angles triangle, △EFD is tan F = DE / DF.

For the stated question:

△EFD∼△GHD

So, in right angles triangle, △EFD

Sin Ф = perpendicular / hypotenuse.

Sin E = DF / EF

And,

The ratio is equivalent to tan F = perpendicular / base

tan F = DE / DF

Thus, the equivalent ratio to tan F  in  right angles triangle, △EFD is tan F = DE / DF.

Know more about similar triangles

https://brainly.com/question/14285697

#SPJ9

The complete question is attached:

Answer:

d

Step-by-step explanation:

Total tickets of a basketball game sold to students are 332 and total tickets sold to adults are 456.

Total number of sold tickets for a basketball game = 788

Total receipts for game = $1,400

Price of game tickets for an adults = $2.50/ticket

Price of game tickets for student = $1.25/ ticket

let us assume that total tickets sold to adults be "x".

Out of 788 , total tickets sold to students = 788 - x

Total money paid by adults = $2.50x

Total money paid by students = $1.25(778 - x)

Total money paid by adults and students will be equal to ($2.50x + $1.25(788 - x) ).

Total receipts for game is $1,400, so

$2.50x + $1.25(788 - x) = $1,400

which is a linear equation of one variable.

Now, we have to solve this equation

2.50x + 1.25×788 - 1.25x = 1,400

=> 1.25x + 985 = 1400

=> 1.25x = 1400 - 985 = 415

=> x = 415/1.25 = 332

So, total tickets sold to adults are 332 . Then,

total tickets sold to students = 788 - 332 = 456.

To learn more about linear equation , refer:

https://brainly.com/question/28555579

#SPJ4

Answer: Its the first one

Answer:

B., C., E.

Step-by-step explanation:

A)  78546 - 60015 = 18531

B)  25972 - 5988 = 19984

C)  43568 - 22185 = 21383

D)  24560 - 5000 = 19560

E)  99756 - 45875 = 53881

The value of x in the solution to this system of equations y + 2x = -1 and y=x+4 is 3.

The elimination approach involves taking one variable out of the system of linear equations by utilizing addition or subtraction together with multiplication or division of the variable coefficients. To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

Given,

Equations:

y + 2x = -1

y = x + 4

y - x = 4

Using elimination method,

y + 2x = -1

y - x = 4

-------------

x = 3

The value of x in the solution to this system of equations y + 2x = -1 and y=x+4 is 3.

To learn more about elimination method, visit:

https://brainly.com/question/12090959

#SPJ1

Rounding up to the nearest whole number, the sample size needed is approximately 385. Therefore, the correct answer is B.

To determine the sample size needed to estimate a population proportion with a desired level of confidence and margin of error, we can use the formula:

n = (Z^2 * p * (1-p)) / E^2

Where:

n = sample size

Z = Z-score corresponding to the desired level of confidence (in this case, 95% confidence corresponds to a Z-score of approximately 1.96)

p = estimated proportion of adults confident in the U.S. banking system (unknown, but we can assume 0.5 to be conservative)

E = margin of error (5% expressed as a decimal, so E = 0.05)

Using these values, we can calculate the sample size:

n = (1.96^2 * 0.5 * (1-0.5)) / 0.05^2

n ≈ 384.16

Learn more about sample size here:

https://brainly.com/question/31734526

#SPJ11

The answer is.........

25.99

Answer:

80+60+3x+4=180

140+3x+4=180

144+3x=180

3x=180-144

3x=36

x=12

Answer:

x = 12

Step-by-step explanation:

All triangles equal to 180 degrees so, we can set up this expression:

180 = (3x + 4) + 80 + 60

All we have to do is solve:

180 = (3x + 4) + 80 + 60

180 = 3x + 4 + 140

180 = 3x + 144

-144        -144

36 = 3x

/3     /3

12 = x

Answer:

2/5

Step-by-step explanation:

Answer:

y = 3x -21

Slope intercept form: y = mx + b

m (slope) = 3

B = - 21

Stay safe and Merry Christmas! :)

Answer:

The answer is point C

Step-by-step explanation:

Point C is the opposite of point P

Answer: C

Step-by-step explanation:

Answer:

A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Answer:

A horizontal line has a greater slope than a vertical line

we have only one outcome that is neither positive nor negative, then the statement is false.

What is square root?

A value known as the square root of a number is one that, when multiplied by itself, yields the original number. An alternative to square rooting a number is to use it. Therefore, the concepts of squares and square roots are connected. The original number is equal to the square root of any integer, which is equivalent to a number.

Let's assume that m is an integer that is positive, such that (m.m) = (m2) = m.

This seems to be true because:

-2*-2 = 2*2 = 4

So √4 = 2 and -2

But particularly the square root of zero is:

√0 = 0

So here we have only one outcome that is neither positive nor negative, then the statement is false.

Learn more about square roots, by the following link.

https://brainly.com/question/428672

#SPJ1

Given statement solution is :- Among the options provided, the correct solution to the Quadratic equation is:

b. x = -7

To find the solution to the equation (x - 2)(x + 5) = 18, we can start by expanding the equation:

(x - 2)(x + 5) = 18

\(x^2\) + 5x - 2x - 10 = 18

\(x^2\) + 3x - 10 = 18

Now, we can rearrange the equation to bring all terms to one side:

\(x^2\) + 3x - 10 - 18 = 0

\(x^2\)+ 3x - 28 = 0

To solve this quadratic equation, we can factor it or use the quadratic formula. Factoring may not be straightforward in this case, so we'll use the quadratic formula:

\(x = (-b ± √(b^2 - 4ac)) / (2a)\)

In this equation, a = 1, b = 3, and c = -28. Plugging these values into the quadratic formula, we get:

\(x = (-3 ± √(3^2 - 4 * 1 * -28)) / (2 * 1)\)

x = (-3 ± √(9 + 112)) / 2

x = (-3 ± √(121)) / 2

x = (-3 ± 11) / 2

We have two possible solutions:

x = (-3 + 11) / 2 = 8 / 2 = 4

x = (-3 - 11) / 2 = -14 / 2 = -7

Among the options provided, the correct solution to the Quadratic equation is:

b. x = -7

For such more questions on Solving Quadratic Equation

https://brainly.com/question/31685903

#SPJ8

Step-by-step explanation:

IF  x-4   is a factor, then putting in x = + 4    will make the polynomial = 0

5 ( 4^3) - 20 (4^2) - 5(4)  + 20   =   0    Yes...it is a factor

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

substitute value of x in the function to see if it equals to zero , if not it won't be a factor of the function

\(5 {x}^{3} - 20 {x}^{2} - 5x + 20 = 0 \\ 5(4) ^{3} - 20( {4})^{2} - 5(4) + 20 = 0 \\ 5(64) - 20(16) - 20 + 20 = 0 \\ 320 - 320 - 20 + 20 = 0 \\ 0 = 0\)

so (x-4) is a factor for the function

If A is an n by n matrix and Ax = b has a solution for every b in R^n, A must be invertible because it meets the necessary conditions for invertibility. In this case, A has full rank (n linearly independent columns), and its column space spans R^n.

As a result, the matrix A has a unique inverse, denoted as A^(-1), that satisfies the equation A^(-1)A = I, where I is the identity matrix. This unique inverse allows for the existence of a unique solution to the equation Ax = b for every b in R^n.

Learn more about invertibility:

https://brainly.com/question/30708846

#SPJ11

Answer:

-24

Step-by-step explanation:

rest 6 minus 30 and it give you -24