When you divide 7.7 by 700, how many decimal places will the quotient have?

The nonlinear- function which represents b(9)=4 is given by b(x)=72/x - 4 .

In mathematics and physics, a nonlinear system is one in which the change in the output is not proportional to the change in the input. Engineers, biologists, physicists, mathematicians, and many other scientists are interested in nonlinear problems since the majority of systems are inherently nonlinear.

Nonlinear function graphs don't resemble lines at all. It contains the formula f(x) = ax + b. Its equation can take any form, with the exception of f(x) = ax + b. The slope of the curve is the same between any two points. The point pairs on the graph do not all have equal slopes.

Of all the given options: the only equations which imply that b(9)=4  are :

i) b(x)=72/x - 4 and  (iv) b(x)=4

Of this two options only the first option is non-linear.

Hence the required option is  b(x)=72/x - 4 .

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The missing options are:

i)   b(x) = 72/x - 4

ii) b(x) = √x + 7

iii)b(x)  = 2x+1

iv) b(x) = 4

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Answer:

Area = a²

= 10²

= 100

Step-by-step explanation:

Answer:

100 cm 2

Step-by-step explanation:

Area of square = s ^ 2

                         = 10 ^ 2

                         = 100 cm square

The amount in the account after 5 years would be $9555.42.

What is the formula for compound interest?

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

Where:

A = the amount of money in the account after t years

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, P = $6500, r = 8% = 0.08, n = 1 (compounded annually), and t is the number of years.

If no withdrawals are made from the account, then the amount of money in the account after t years will be

\(A = 6500(1 + \frac{0.08}{1})^{(1t)} \\ A = 6500(1.08)^t\)

Now the amount of money in the account after a specific number of years,

A = 6500(1.08)⁵

A = 6500(1.469328)

A = $9555.42

So after 5 years, the amount in the account would be $9555.42

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Correct question is "Suppose Juan places $6500 in an account that pays 8% interest compounded each year. Assume that no withdrawals are made from the account.Then find What would be the amount in the account after 5 years?"

The number of  mac and cheese Abdullah can buy for $20 is 8.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, at the grocery store, Abdullah purchased 3 pounds of mac and cheese for $7.50.

Now, cost of 1 pound of mac and cheese =Total cost/Number of pounds of mac and cheese

= 7.50/3

= $2.50

Then, with $20 Abdullah can by =20/2.50

= 8

Therefore, the number of  mac and cheese Abdullah can buy for $20 is 8.

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Answer:

w=-8

Step-by-step explanation:

take both sides and divide by 7

(w+13)=5

subtract both sides by 13

w=-8

The length of the curve x = y3/2/3 - y1/2 from y = 3 to y = 11 is 5.75 + (1/4)ln|11.5| - (1/4)ln|3.5|.

Curve is a mathematical term that refers to the shape of a line or surface. It is used to describe the shape of a graph or a three-dimensional object. A curve can be either smooth or jagged, and can have a variety of shapes, including circles, ellipses, parabolas, and hyperbolas. In mathematics, curves are used to model physical objects and phenomena, such as the earth's surface or the shape of a molecule.

We can use the formula for the arc length of a function given by:
L = ∫a b √1+(f′(x))2dx
In this case, we have:
f(x) = y3/2/3 - y1/2
Taking the derivative of this function gives us:
f′(x) = 3/2y1/2/3 - 1/2y-1/2
Plugging this into the formula, we get:
L = ∫3 11√1+(3/2y1/2/3 - 1/2y-1/2)2dx
Integrating this expression yields:
L = [3/2y3/2/3 - 1/2y1/2 + (1/4)ln|y+1/2|]3-11
Substituting in the limits of integration, we get:
L = [3/2(11)3/2/3 - 1/2(3)1/2 + (1/4)ln|11+1/2|] - [3/2(3)3/2/3 - 1/2(3)1/2 + (1/4)ln|3+1/2|]
Simplifying this expression gives us:
L = [6.5 - 0.75 + (1/4)ln|11.5|] - [1.5 - 0.75 + (1/4)ln|3.5|]
Evaluating this expression yields:
L = 5.75 + (1/4)ln|11.5| - (1/4)ln|3.5|
Therefore, the length of the curve x = y3/2/3 - y1/2 from y = 3 to y = 11 is 5.75 + (1/4)ln|11.5| - (1/4)ln|3.5|.

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Answer:

The correct option is (A).

Step-by-step explanation:

The complete question is:

A staff member at UF's Wellness Center is interested in seeing if a new stress reduction program will lower employees systolic blood pressure levels. Twenty people are selected and have their blood pressure measured. Each person then participates in the stress reduction program. One month after the stress reduction program, the systolic blood pressure levels of the employees were measured again. Did the program reduce the average systolic blood pressure level? Note: Differences were taken by taking "before systolic blood pressure" minus "After blood pressure"

The 95% confidence interval was (5.6, 10.2).

A. On average, the blood pressure levels before the stress reduction program were significantly higher than the systolic blood pressure levels after the stress reduction program, at the 95% confidence level

B. We are 95% confident that there is no difference in average systolic blood pressure levels before and after the stress reduction program.

C. On average, the systolic blood pressure levels after the stress reduction program were significantly higher than the systolic blood pressure levels before the stress reduction program, at the 95% confidence level.

Solution:

The hypothesis to determine whether the program reduced the average systolic blood pressure level, is as follows:

H₀: The program did not reduced the average systolic blood pressure level, i.e. d = 0.

Hₐ: The program reduced the average systolic blood pressure level, i.e. d ≠ 0.

A 95% confidence interval can be used to make conclusion for a hypothesis test.

If the 95% confidence interval consists of the null value, i.e. 0 then the null hypothesis will not be rejected. And if the confidence interval does not consists of the null value, the null hypothesis will be rejected.

The 95% confidence interval for the difference between the two data is:

(5.6, 10.2)

The 95% confidence interval does not consist of 0, the null value. And since all the values in the 95% confidence interval  are positive it clearly indicates that the program did not reduced the average systolic blood pressure level.

Conclusion:

On average, the blood pressure levels before the stress reduction program were significantly higher than the systolic blood pressure levels after the stress reduction program, at the 95% confidence level

Thus, the correct option is (A).

The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.

Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

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

where:

A is the total value of the loan,

P is the principal amount (initial loan amount),

r is the interest rate (in decimal form),

n is the number of times interest is compounded per year,

and t is the number of years.

Given:

P = $20,000,

r = 9% or 0.09,

n = 4 (quarterly compounding),

t = 10 years.

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/4)^(4*10).

Calculating this value, we find:

A ≈ $45,288.38.

Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.

Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:

n = 12 (monthly compounding).

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/12)^(12*10).

Calculating this value, we find:

A ≈ $45,634.84.

Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.

Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.

For the loan with quarterly compounding:

Total interest = Total value - Principal

Total interest = $45,288.38 - $20,000

Total interest ≈ $25,288.38.

For the loan with monthly compounding:

Total interest = Total value - Principal

Total interest = $45,634.84 - $20,000

Total interest ≈ $25,634.84.

The difference between the total interest accrued on each loan is approximately $346.46.

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The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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AS per the concept of Compound interest,

(a), The amount owed at the end of 1 year is $8,400

(b) The amount owed at the end of 2 year is $ 9,408

Compound interest:

The general formula to calculate the compound interest is

A = P(1 + r/n)ⁿˣ

where

A represents Accrued amount (principal + interest)

P represents Principal amount

r represents Annual nominal interest rate as a decimal

n represents number of compounding periods per unit of time

x = time

Given,

Suppose Charmaine borrows $7500 at an interest rate of 12% compounded each year. Assume that no payments are made on the loan.

Here we need to find the following,

a)the amount owed at the end of 1 year.

b) the amount owed at the end of 2 year.

From the given details we know that the value of

Principal amount = $7,500

Interest rate = 12%

Part a) the amount owed at the end of 1 year is calculated as,

Here we have to convert R as a percent to r as a decimal

r = R/100

r = 12/100

r = 0.12 rate per year,

Then solve the equation for A

A = 7,500.00(1 + 0.12/1)(1)(1)

A = 7,500.00(1 + 0.12)(1)

A = $8,400.00

Therefore, the amount owed at the end of 1 year is $8,400.

Part b) The amount owed at the end of 2 year is calculated as,

In this one the value of principal amount interest rate are same but the value of year only differs as 2,

So, the amount is

=>A = 7,500.00(1 + 0.12/1)(1)(2)

=> A = 7,500.00(1 + 0.12)(2)

=> A = $9,408.00

Therefore, the amount owed at the end of 2 years is $9,408.

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ANSWER:

slant upward

STEP-BY-STEP EXPLANATION:

The line would slant upward to the right because if the y-intercept is negative, the line starts below the x-axis and if the x-intercept is positive, it means the line continues from below the x-axis and crosses to the right. right. from the origin (to the right of 0), which means that it is tilted up to the right.

We can rectify it in the following graph

The correct statement is;

False,  because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be  x = 2π/3 + 2nx and x = 4π/3 + 2nx.

Option D

From the information given, we have that;

All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx

There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx

Such that n is an integer.

This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.

The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.

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Answer:

24+v=44

Step-by-step explanation:

multiplicativa, x=5 is Halla las dimensiones.

The physical quantity is correctly described in terms of its fundamental unit according to the formulation of the dimensional formula. For instance, the formula for dimensional force is F=[MLT2]. It's because the unit of force is the Newton, or kg/s2.

De acuerdo con las condiciones dadamultiplicativa s, plantear: 2x(10+x+4x) = 70 Aplicar la ley multiplicativa de distribución: 20+2+8x= 70

Reordenar los términos desconocidos al lado izquierdo de la ecuación: 2x+8x= 70-20

Combinar como términos: 10x = 70-20

Calcular la suma o diferencia: 10x = 50

Dividir ambos lados de la ecuación por el coeficiente de la variable: = 50 10

Calcular los dos primeros términos: a = 5

Therefore, Halla las dimensiones is x=5.

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Answer: =11/4

Step-by-step explanation:

Answer:

\(y = 2 \frac{3}{4} \\ \)

Step-by-step explanation:

\(5(y - 1) = 3(2y - 5) - (1 - 3y) \\ 5y - 5 = 6y - 15 - 1 + 3y \\ 5y - 5 = 9y - 16 \\ 16 - 5 = 9y - 5y \\ 11 = 4y \\ \frac{11}{4} = y \\ 2 \frac{3}{4} = y \\ \)

Answer:

x = 25

Step-by-step explanation:

By Sum of Angles in Triangle Theorem:

(2x + 2) + (2x + 2) + (3x + 1) = 180,

7x + 5 = 180,

7x = 175,

x = 175/5 = 25

Answer:

arthimetic 9

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

740,000

Step-by-step explanation:

that is standered form yuh

Step-by-step explanation:

I hope this answer is helpful ):

Answer:

39% , 0.39 , 39/100

Step-by-step explanation:

I thought your randomness of letters was your question lol. Hope this helps though!

Answer:

double those numbers:

14:30 is equivalent to 7:15

May I have brainliest please? :)

Answer:

Step-by-step explanation:

3    12

8    

96 = 3x

x=32. the perimeter is 32

The perimeter of the larger triangle is 32 inches.

What are Similar Triangles?

Similar Triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

Let the perimeter of the larger triangle would be x.

We know that the ratio of the corresponding sides is 3/8.

The perimeter of the smaller triangle is 12 inches

We can use the ratio of corresponding sides to find the length of the sides of the larger triangle.

So 3/8 = 12/x

3x = 96

x = 96/3

x = 32

Thus, the perimeter of the larger triangle would be 32 inches.

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The final answer is 8 liters (8000 milliliters/1000).

To add these volumes, we need to convert everything to the same unit. We can convert liters to milliliters since 1 liter is equal to 1000 milliliters.

- 2.5 liters can be converted to 2500 milliliters (2.5 x 1000)

- 2 liters is equal to 2000 milliliters (2 x 1000)

Now we can add all the volumes in milliliters:

- 2,000 milliliters

- 2,500 milliliters

- 1,500 milliliters

- 2,000 milliliters

When we add these volumes, we get a total of 8,000 milliliters. However, we can simplify this answer and convert it back to liters by dividing by 1000.

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The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Let's solve ~

\(\qquad \tt \dashrightarrow \:\tt(6x {}^{4} −2x {}^{3} +7x {}^{2} −x) + ( 7x {}^{4} + 2x {}^{3} −5x + 7)\)

\(\qquad \tt \dashrightarrow \:\tt6x {}^{4} −2x {}^{3} +7x {}^{2} −x + 7x {}^{4} + 2x {}^{3} −5x + 7\)

Now, move all like terms aside :

\(\qquad \tt \dashrightarrow \:6 {x}^{4} + 7 {}x^{4} - 2 {x}^{3} + 2 {x}^{3} + 7 {x}^{2} - x - 5x + 7\)

Add the like terms ~

\(\qquad \tt \dashrightarrow \:13 {}x^{4} + 7 {x}^{2} + 6x + 7\)

Answer:

13(x)⁴ + 7(x)²-6(x) + 7

Explanation:

\(\hookrightarrow \sf (6x^4 -2x^3+7x^2-x)+(7x^4+2x^3-5x+7)\)

remove the parenthesis

\(\sf \hookrightarrow 6x^4-2x^3+7x^2-x+7x^4+2x^3-5x+7\)

group the variables

\(\hookrightarrow \sf 6x^4+7x^4-2x^3+2x^3+7x^2-x-5x+7\)

add similar terms

\(\sf \hookrightarrow 13x^4+7x^2-x-5x+7\)

simplify

\(\hookrightarrow \sf 13x^4+7x^2-6x+7\)

Step-by-step explanation:

a triangle is equal to 180 degrees

180 minus 36 gives us 144

144 divided by 8c equals 18

c equals 18

Answer:

The probability that the good exam belongs to Alice could be infered from the handwriting of the answer sheet. This s because, previously, the professor would have given them assignments which they submitted.

In the ones he marked, he was able to note the style of writing of alice and her good grades. Therefore, the style of writing (Handwriting ) in the exams with good grade will help him to determine that it belongs to Alice.

Step-by-step explanation: