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3 years ago

A number, x, rounded to 1 decimal place is 3.7 Write down the error interval for x.

Mathematics

1 answer:

mart [117]3 years ago

7 0

Answer:

The error in rounding a number is half of the unit of measure. The number was rounded to the nearest 0.1 unit so the error is half of 0.1 which is 12⋅0.1=0.05

⋅0.1=0.05. Since 3.7+0.05=3.753.7+0.05=3.75 and 3.7−0.05=3.653.7−0.05=3.65, then the error interval is \boxed{3.65\le x<3.75}.

Step-by-step explanation:

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HELP PLEASE! URGENT!

finlep [7]

Answer:

$\boxed{B. \: 5 {x}^{6} + 5 {x}^{5} + 8 {x}^{2} - x + 2}$

Step-by-step explanation:

$= > (2 {x}^{6} + 8 {x}^{2} - x + 1) + (3 {x}^{6} + 5 {x}^{5} + 1) \\ \\ = > 2 {x}^{6} + 8 {x}^{2} - x + 1 + 3 {x}^{6} + 5 {x}^{5} + 1 \\ \\ = > 2 {x}^{6} + 3 {x}^{6} + 5 {x}^{5} + 8 {x}^{2} - x + 1 + 1 \\ \\ = > 5 {x}^{6} + 5 {x}^{5} + 8 {x}^{2} - x + 2$

8 0

4 years ago

Gomez spent 5/8 of his money on a gift for his brother and 1/6 of his money on a card. He saved the rest of his money

Sergio [31]

He saved 5/24 of his money

Make common denominators
1/6 * 4/4 =4/24
5/8 * 3/3= 15/24

15/24 + 4/24 = 19/24

24/24 - 19/24
= 5/24

3 0

3 years ago

Use the properties of logarithms to prove log, 1000 = log2 10.

Leto [7]

Given:

Consider the equation is:

$\log_81000=\log_210$

To prove:

$\log_81000=\log_210$ by using the properties of logarithms.

Solution:

We have,

$\log_81000=\log_210$

Taking left hand side (LHS), we get

$LHS=\log_81000$

$LHS=\dfrac{\log 1000}{\log 8}$ $\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]$

$LHS=\dfrac{\log (10)^3}{\log 2^3}$

$LHS=\dfrac{3\log 10}{3\log 2}$ $[\because \log x^n=n\log x]$

$LHS=\dfrac{\log 10}{\log 2}$

$LHS=\log_210$ $\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]$

$LHS=RHS$

Hence proved.

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3 years ago

PLS HELP ME ASAP FOR 19!! (MUST SHOW WORK!! / STEPS!!) + LOTS OF POINTS!! *brainliest*

devlian [24]

If it is 76 feet LOWER than 73 above sea level, then you must do
73-76= -3
So Mudville is 3 feet BELOW sea level.

7 0

3 years ago

What is the system of solution to y-x=-13 and -4x+3y=-51

poizon [28]

Equation 1 ==> y - x = -13
Equation 2 ==> -4x + 3y = -51
3(y - x) = 3(-13)
Equation 3 ==> 3y - 3x = -39

Equation 2 - 3
= (3y - 3y) + ( -4x - (-3x) ) = -51 - (-39)
-x = -12
x = 12

Substitude x into equation 1
y - 12 = -13
y = -1

8 0

3 years ago