What is 13/250 as a decimal

Answers

Answer 1

Answer: .052 I hope this helps

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Solve In 2 + In x= 5. Round to the nearest thousandth, if necessary.

Answers

The value of x nearest to thousandths is 74.207

Solution:

Given that,

$\text{ln } 2 + \text{ln } x = 5$ ------ eqn 1

We can use logarithmic properties to solve for "x"

Using logarithmic properties:

$\ln (mn) = \ln m + \ln n$

Therefore, apply the above property in eqn 1

$\text{ln } 2 + \text{ln } x = 5\n\n\text{ln } 2x = 5$

By using the logarithmic property,

$\text{If } \ln x = a , \text{ then } x = e^a$

Apply the above logarithmic property in above expression

$\text{ln } 2x = 5\n\n2x = e^5$

Solve the above equation

We know that,

$e^5 = 148.413159103$

[ use calculator ]

Therefore,

$2x = 148.413159103\n\nx = (148.413159103)/(2)\n\nx = 74.2065795513\n\nx \approx 74.207$

Therefore, the value of x nearest to thousandths is 74.207

Suppose Y varies directly as X, and y = 9 when x = 3/2. Find y when x = 1.

Answers

Answer: The required value of y is 6.

Step-by-step explanation: We are given that y varies directly as x and y = 9 when $x=(3)/(2).$

We are to find the value of y when x = 1.

According to the given information, we have

$y\propto x\n\n\Rightarrow y=k* x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{where k is the constant of integration}]\n\n\Rightarrow y=kx~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

When y = 9 and $x=(3)/(2),$ we have from equation (i) that

$9=k*(3)/(2)\n\n\n\Rightarrow k=(18)/(3)\n\n\Rightarrow k=6.$

So, equation (i) becomes

$y=6x.$

Therefore, when x = 1, we get

$y=6*1=6.$

Thus, the required value of y is 6.

to vary directly is to be in proportion

y/x = y/x

9/(3/2) = y
9(2/3) = y
y = 6

How do you round 70.140 to nearest tenth

Answers

in the number 70.140, the 1 is the tenth place so to round to nearest tenth place you look at one place over (hundredth) in this case it is the 4. if the number in the hundred place is 5 or greater then you round the number in the tenths one digit up.
in this case the number in the hundredth place is under 5 so we keep the number in the tenths place,
so the answer would just be 70.1

70.100

the tenth in this number is the one after the decimal point. if the number after the number you are rounding(4) is greater than or is 5 the number you are rounding goes up. if its lower than 5 the number you are rounding stays the same.

Subtract 8 feet from 9 yards

Answers

there are 3ft in a yard so 9*3 is 27 so 27 minus 8 is 19 so 19 is your answer

I will give extra points if u will help with this

Answers

A. isosceles and acute

hope this helps :)

the answer is B isosceles and obtuse

Write an expression that can be used to multiply 6x198 mentally.

Answers

assuming you meant 6x198 do a mental sum for 6x200 (1200) then subtract 6x2(12)to give you 1188

In this problem, we are asked to give an expression that can be used to mentally multiply 6 and 198. In order not to go through the rigorous multiplication, we can estimate 198 to 200, that is 6 *200 equal to 1200. Since there is a 2*6 excess or 12 then we subtract: 1200 -12 equal to 1188.

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