choose the ratio that you would use to convert 2.5 centimeters to meters please

Given: f(x) = 9 cos (2x)

The differential equation is df = - 18 sin(2x) dx

When x contrasts from π/6 to π/6 + 01, then dx = 0.1.
The variation in f is δf = - 18 sin(π/3) *(0.1) = -1.5588 ≈ -1.559

The computation in the change in f directly:

f(π/6) = 9 cos(π/3) = 4.5
f(π/6 + 0.1) = 9 cos(π/3 + 0.2) = 2.6818
δf = 2.6818- 4.5 = -1.6382 ≈ -1.638

Direct computation of δf is near to the real value but in error. 
The two outcomes will be closer as dx gets smaller.

Answer would be:
δf = -1.559  (correct answer)
δf = -1.638 (approximate answer)

Answer:

a

Step-by-step explanation:

Answer: Option (2) and (5) are the correct options.

Step-by-step explanation:

Since, the given expression, x+3.6= -1.7

If we add -3.6 in both sides then we get x+3.6+(-3.6)=1.7-3.6⇒x= -1.9

while,

If we subtract 3.6 from both sides then we get x+3.6-3.6=1.7-3.6⇒x= -1.9

Thus, In the above by adding -3.6 and by subtracting 3.6 we get the value of x in one step.(because after this only x remains in LHS of the given expression)

Therefore, Option (2) and (5) are correct.

Note: Except these two options we can not get x in one step. (we can not get single x in LHS of the given expression by the other options.)

Answer:

b e

Step-by-step explanation:

Answer:  The required value of x is 16.

Step-by-step explanation:  Given that the value of y is 7 when the value of x is 8.

We are to find the value of x when y is 14.

The ratio of y to x is given by

[tex]y:x=7:8.[/tex]

Therefore, when y = 14, we must have

[tex]14:x=7:8\\\\\\\Rightarrow \dfrac{14}{x}=\dfrac{7}{8}\\\\\\\Rightarrow x=\dfrac{14\times8}{7}\\\\\Rightarrow x=16.[/tex]

Thus, the required value of x is 16.

16,400 x (1 + 0.051)^20 =

16400 x (1.051)^20 =

16400 x 2.70429659 =

$44,350.46 

Answer:

its  A

Step-by-step explanation:

Answer:

As per the statement: Sandy is observing the velocity of a runner at different times.

Also, after one hour, the velocity of the runner is 4 km/h. and after two hours, the velocity of the runner is 2 km/h..

(A)

Let x represents the time in hours and y represents the velocity of the runner(in km/hr)

Then, we have two points from the given statement:

(1, 4) and (2, 2)

An equation of line for two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by;

[tex]y-y_1 = \frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

For the given two points (1, 4) and (2, 2) we have an equation:

[tex]y-4 = \frac{2-4}{2-1}(x-1)[/tex]

[tex]y-4 = \frac{-2}{1}(x-1)[/tex]

or

[tex]y-4 = -2(x-1)[/tex]

Using distributive property: [tex]a\cdot(b+c) = a\cdot b+ a\cdot c[/tex]

[tex]y-4 = -2x + 2[/tex]

Add 4 on both sides we get;

[tex]y-4 +4= -2x + 2+4[/tex]

Simplify:

[tex]y= -2x + 6[/tex]

Add 2x on both sides we get;

[tex]y + 2x=-2x+6+ 2x[/tex]

Simplify:

[tex]y + 2x = 6[/tex]

[Since, standard form for linear equations in two variables is Ax+By=C]

Therefore, an equation in two variables in the standard form that can be used to describe the velocity of the runner at different times is:

[tex]2x+y= 6[/tex] ; where x represents the time in hours and y represents the velocity of the runner.

(B)

Equation in part A

It is given as;  [tex]2x+y= 6[/tex]          .....[1]

To graph this equation; for the first 4 hours.

x                  y = -2x+6

1                  4

2                 2

3                 0

4                 -2

Now, using these points (1, 4) , (2, 2) , (3, 0) and (4, -2) plot the graph as shown below in the attachment.

Answer:

[tex]r[/tex]≈[tex]5.2 in[/tex]

Step-by-step explanation:

It is given that a circle is required to inscribe an equilateral triangle with an area of [tex]35.074 in^2[/tex] and an altitude of [tex]7.794 in[/tex],

Also, we know that the centroid divides the altitude into 2:1 form, thus

[tex]r=\frac{2}{3}(h)[/tex]

Substituting the value of an altitude, we have

[tex]r=\frac{2}{3}(7.794)[/tex]

[tex]r=5.196 in[/tex]

[tex]r[/tex]≈[tex]5.2 in[/tex]

Therefore, the radius of the circle is [tex]5.2 inches[/tex].

The value of x is 12 and this can be determined by using the arithmetic operations and the given data.

Given :

40% is equal to the fraction x/30.

The following steps can be used in order to determine the value of 'x':

Step 1 - The arithmetic operations can be used in order to determine the value of 'x'.

Step 2 - According to the given data, the 40% is equal to the fraction x/30.

Step 3 - So, the value of X is calculated as:

[tex]\dfrac{40}{100}=\dfrac{x}{30}[/tex]

Step 4 - Simplify the above expression.

x = 12

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Answer:

Step-by-step explanation:

Answer:

a. 5712.04

b. 5712.04

c. 79.97

d. 878.71

e. 12.30

f. 67.67

Step-by-step explanation:

B- 17136.12 /30= 5712.04  

C- 5712.0r x 0.014 =79.97  

D- 712.04 x 29= 20,649.16  

   5723.04 x 1 = 5712.04  

                         = 26,361.20/ 30  

                               =878.71  

E- 878.71(0.014)= 12.30  

F- 79.97 -12.30 = 67.67

Helene will accrue a finance charge on her credit card due to not fully repaying her balance. With her APR, the monthly interest is 1.4%, which is then applied to her $5,712.04 balance after making the car down payment. This example illustrates how credit card interest is calculated and applied.

Given Helene's credit card's Annual Percentage Rate (APR) of 16.8%, the total credit card balance after making the $5,000 down payment on a car will be $5,712.04. The APR is divided into 12 months to get the monthly interest rate. Therefore, the monthly interest rate is 16.8 / 12 = 1.4%. The finance charge for the next billing cycle will be 1.4% of  $5,712.04.

Additionally, considering that Helene does not fully repay her balance, she is always subject to a finance charge, which is the cost of borrowing money. The interest cost is calculated by applying the interest rate to the balance left over at the end of the billing cycle.

This scenario is a real-world example of credit card finance and illustrates how credit card interest is computed and applied each billing cycle.

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Using a calculator or long division, the square root of 658 is approximately 25.66.

To find the square root of 658, we can use a calculator or the long division method.

Using the long division method:

Step 1: Guess a number whose square is close to 658. Let's start with 25, since [tex]\(25^2 = 625\)[/tex], which is close to 658.

Step 2: Divide 658 by 25. [tex]\(658 \div 25 = 26.32\)[/tex]

Step 3: Take the average of the quotient and the divisor: [tex]\((25 + 26.32) \div 2 = 25.66\)[/tex]

Step 4: Repeat steps 2 and 3 using the new guess until the desired level of accuracy is achieved.

By repeating these steps, we'll get closer to the square root of 658. However, using a calculator will give a more accurate result.

The domain of the function f(x) = x5 ln x consists of all positive real numbers since the natural logarithm is undefined for zero and negative numbers.

The domain of a function consists of all possible input values (x-values) where the function is defined. In the case of the function f(x) = x5 ln x, we need to consider where this function is defined.

The domain for a function that involves a natural logarithm (ln), like this one, is always x > 0. This is because the natural logarithm, or ln, is undefined for values of x <= 0. In other words, we can't take a natural logarithm of zero or a negative number.

Therefore, the domain of the function f(x) = x5 ln x is x > 0. All positive real numbers are included in the domain, while zero and negative numbers are excluded.

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subtract the distance she traveled from the total distance she has to go

4 2/3 - 3 1/3 = 1 1/3 miles to go 

His cost per wear

He will have 240 wears in 5 years

$180 in dry cleaning and $200 for cost of the suit.

$380 total investment

$1.58/per wear

The total investment for the suit is $380 and the cost per wear is $1.58.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

We have,

Jason decides to invest in a new two-piece suit which will cost him $200.

So, the total amount he invested

= $180 in dry cleaning + $200 for cost of the suit.

= $380

and, the cost per wear is

= 380/ 240

= $1.58

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Answer:

-9x+y=82

Step-by-step explanation:

hope this helped!

The equation y-10=9(x+8) can be transformed into standard form by distributing, simplifying, and rearranging terms to get 9x - y = -82.

The given equation is y-10=9(x+8), and we're asked to change this slope-intercept form into the standard form. First, we'll start by distributing the 9 to both x and 8 which will result in y-10 = 9x + 72. Then, we'll bring terms involving x and y to one side of the equation, leading to -9x + y = 82. This is almost in standard form, but typically we want the leading coefficient (the coefficient of x) to be positive, so we'll multiply the equation by -1. This gives us 9x - y = -82, which is the equation in standard form.

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