Answer:
Many situations will call for you to round decimals to the nearest tenth to make the number easier to work with. Once you understand how to find the tenths and hundredths place, the process is very similar to rounding whole numbers.
Step-by-step explanation:
Many situations will call for you to round decimals to the nearest tenth to make the number easier to work with. Once you understand how to find the tenths and hundredths place, the process is very similar to rounding whole numbers.
Answer:
6
Step-by-step explanation:
The way you wrote it, it is already rounded.....
The value I remember for pi is 3.14159. This is rounded to the nearest 10-thousandth. Another way of saying the same thing is that it is "rounded to 5 decimal places".
pi--rounded off in decreasing precision:
3.14159
3.1416
3.142
3.14
3.1
3
Watch out for a trap in rounding:
Suppose I start with 5.49. To the nearest 10th, it would be 5.5. To the nearest whole digit, it is 5, not 6. If the original number were 5.51, then rounded to the nearest whole digit would be 6.
What is the equation of the line shown in this graph?
Answer:
y= 1
Step-by-step explanation:
Use y=mx +b
We have no slope so its just y= b
y=1
The larger of two numbers is 4 more than 2 times the smaller number. If the sum of the two numbers is 28, what is the larger number
Answer:
The larger number is 20.
Step-by-step explanation:
Let x and y be the two numbers.
y = 2x + 4
x + y = 28
So x + 2x + 4 = 28
3x = 24
x = 8
y = 20
1/x+x/2=11/6 transformable to quadratic equations
Note: Consider we need to find the solution of given equation.
Given:
The equation is
[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]
To find:
The solution of the equation.
Solution:
We have,
[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]
[tex]\dfrac{2+x^2}{2x}=\dfrac{11}{6}[/tex]
By cross multiplication, we get
[tex]6(2+x^2)=11(2x)[/tex]
[tex]12+6x^2=22x[/tex]
[tex]6x^2-22x+12=0[/tex]
[tex]2(3x^2-11x+6)=0[/tex]
Divide both sides by 2.
[tex]3x^2-11x+6=0[/tex]
Splitting the middle term, we get
[tex]3x^2-9x-2x+6=0[/tex]
[tex]3x(x-3)-2(x-3)=0[/tex]
[tex](x-3)(3x-2)=0[/tex]
Using zero product property, we get
[tex]x-3=0[/tex] and [tex]3x-2=0[/tex]
[tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex]
Therefore, the solutions of the given equation are [tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex].
Quadratic equations are algebraic equations that can be factored or broken down into simpler forms(factors).
Transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0
We are given the algebraic equation: 1/x+x/2=11/6
Transforming it into a quadratic equation, we find the Lowest common denominator of the fractions in the quadratic equations.
LCD(x,2,6) = 6x
Multiply all through the fractions by 6x
(1/x * 6x)+ (x/2 * 6x) = (11/6 * 6x)
6 + 3x² = 11x
Rewriting the equation:
3x² - 11x + 6 = 0
Therefore, transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0
To learn more, visit the link below:
https://brainly.com/question/18251794
the wheels on a bicycle have a circumference of 4 feet. if the bicycle travels 48 feet how many rotations does it make?
Answer:
12
Step-by-step explanation:
48 divided by 4 is 12
PLS help me asap
A motorboat moves across a lake at a constant speed. When it begins, it is 64
km from the shore. After 17 minutes, it is 30 km from the shore. Which
function describes the motorboat's distance from the shore?
The answer
A. y= 2x+64
B. y=-2x+64
C. y=-17x+ 30
D. y=-17x+64
Answer:
y=-2x+64 i think
Step-by-step explanation:
Describe how the graph of y=2xy=2x is the SAME as the graph of y=2x-7y=2x−7.
Select all statements that are true.
They both have a slope of 2.
They cross the x-axis at the same point.
They are parallel to each other.
They have the same slope.
They are in the same location.
They cross the y-axis at the same point.
Answer:
-They both have a slope of 2.
-They are parallel to each other.
-They have the same slope.
Step-by-step explanation:
The 2 equations are;
y = 2x and y = 2x - 7
Now, from slope intercept equation,
y = mx + c
Where m is slope and c is the intercept on the y-axis
From the 2 equations y = 2x and y = 2x - 7, Comparing with y = mx + c, we can see they both have a slope of 2.
For 2 lines to have same slope, it means that they are parallel and have different y-intercepts.
They should cross the x-axis when y = 0.
But at x = 0,we have;
y = 2x = 0. And x = 0
Also,for y = 2x - 7 is y = 2x - 7 = 0
2x = 7 and x = 7/2.
Thus,they don't cross the x - axis at the same point
Looking at the options, we can see that there are 3 correct ones from what we've described above namely;
-They both have a slope of 2.
-They are parallel to each other.
-They have the same slope.
Answer:
its
Step-by-step explanation:
if Ad = 2x + 2 and cd= x +11, what is the value of x
Answer: the answer is 9
Step-by-step explanation:
Look at image please help me ASAP
Answer:
[tex]\frac{-3 y^{11} }{x}[/tex]
Please help I have been stuck for 2 HOURS!
TY
Write the next three terms in each sequence. Make sure your
answers are separated by a comma and a space; like 1, 2, 3
25, 26, 27, 28, ...
Answer:
29,30,31
this is basically like counting just add 1
Talya wanted to hit 20 homeruns this season. She ended up hitting 150% of her goal. How many homeruns did Talya hit this season?
Answer:
30
Step-by-step explanation:
tell me if im wrong
sorry if i am TmT
Three cards—one red, one green, and one blue—are to be arranged in a stack. Using R for red, G for green, and B for blue, make a list of all the different stacks that can be formed. (Some computer monitors are called RGB monitors for the colors red, green, and blue. Enter your answers as a comma-separated list.)
Answer:
RGB. RBG, BRG, BGR, GBR, GRB
Step-by-step explanation:
Given
R, G and B
Required
List all possible arrangement
First, we need to calculate the number of arrangement
There are 3 letters and they are to be arranged in order of 3.
So, we have:
[tex]n = 3[/tex] and [tex]r =3[/tex]
Number of arrangement is:
[tex]^nP_r = \frac{n!}{(n - r)!}[/tex]
[tex]^3P_3 = \frac{3!}{(3 - 3)!}[/tex]
[tex]^3P_3 = \frac{3!}{0!}[/tex]
[tex]^3P_3 = \frac{3*2*1}{1}[/tex]
[tex]^3P_3 = \frac{6}{1}[/tex]
[tex]^3P_3 = 6[/tex]
Hence, number of arrangements is 6 and the arrangements are:
RGB. RBG, BRG, BGR, GBR, GRB
A quality control group found 7 defects for every 1250 units produced. If 8750 products were produced how many defects were there?
Determine the slope and the y-intercept of the table.
Answer:
Slope: 1.5
Y-Intercept: -1
What is the slope of this line?
5
1/5
-1/5
-5
Answer:
1/5
Step-by-step explanation:
You do rise over run so your rise is 1 and your run is 5 so the answer is 1/5.
And it is positive because it is pointed to the right side.
Hope this helps
Please help me I am confused
HELP!!!!i will give BRAINLIEST
Answer:
2.9
Step-by-step explanation:
2 9/10 as an improper fraction is 29/10
29/10 as a decimal is 2.9
Answer:
2.9
Step-by-step explanation:
Math. Pls give brainliest:)!
At what point do the graphs of x = 5 and y = -3 intersect
Which of the following is a solution for 5 - 2xs-3?
-4
4
1
-1
Help I Dont Understand?
which number are composite numbers-49,35,32,41,47
Answer:
49, 35, 32
Step-by-step explanation:
A prime number is a number whose factors are 1 and itself
Eg 7
7 is a prime number because it only comes in table one and 7
Or it’s only factors are 1 and itself
A composite number comes in 1, itself and other tables
Eg. 16
It comes in table 1, 2, 4 and 16
Answer: 49,32,35.
Hope this helps!
HELP!!! Parallel Line Proofs
In the 2017 national Youth Risk Behavior Survey, 16.5% of high school students had ridden with a driver who had been drinking alcohol within the previous month. This data came from an SRS of 14,500 students. what is the mean and standard deviation
Answer:
[tex]Mean = 2392.5[/tex]
[tex]SD = 44.70[/tex]
Step-by-step explanation:
Given
[tex]Students = 14500[/tex]
[tex]p = 16.5\%[/tex]
Solving (a): The mean
Mean is calculated as thus:
[tex]Mean = np[/tex]
[tex]Mean = 16.5\% * 14500[/tex]
Convert % to decimal
[tex]Mean = 0.165 * 14500[/tex]
[tex]Mean = 2392.5[/tex]
Solving (b): The Standard Deviation
Standard deviation (SD) is calculated as thus:
[tex]SD = \sqrt{np(1-p)}[/tex]
[tex]SD = \sqrt{14500 * 16.5\%(1-16.5\%)}[/tex]
Convert % to decimal
[tex]SD = \sqrt{14500 * 0.165 * (1-0.165)}[/tex]
[tex]SD = \sqrt{14500 * 0.165 * 0.835}[/tex]
[tex]SD = \sqrt{1997.7375}[/tex]
[tex]SD = 44.6960568731[/tex]
[tex]SD = 44.70[/tex]
Mr Thompson wants to cut a 5-ft rope into a 1/4-ft sections how many 1/4 sections will he have
Answer:
20 pieces of rope
Step-by-step explanation:
Mr. Thompson has a 5-ft rope. If he cuts the rope into 1/4-ft pieces, that means for every foot, there are 4 pieces of rope. There are 5-ft of rope, so we multiply 5 and 4 to get the number of pieces of rope.
5 x 4 = 20 pieces of rope.
I hope that this helps! :)
which function has the range (-infinity,-2]U[0,infinity)?
a. y=cos(x+1)
b. y=csc(x)-1
c. y=sec(x)+1
d. y=cot(2x)-1
Answer:
y= csc(x)+1
Step-by-step explanation:
A P E X
cosec(X) + 1 has the range (-infinity,-2]U[0,infinity)
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
As, the given range (-infinity,-2]U[0,infinity) well satisfied the cosec(X) + 1
Generally, Range of Cosec x is, (-∞,-1] ∪ [1,∞).
So,
Range of Cosec (x) +1 will be ,
= (-∞,-1+1] ∪ [1+1,∞).
= (-∞, 0] ∪ [2,∞)
Learn more about this concept here:
https://brainly.com/question/4471564
#SPJ2
pleasee heelllppp asapppp ugghhh its for a testtt plzzzzzz
Answer:
The answer is 1
Answer:
i think -3
Step-by-step explanation:
2 1/7 divided by 1 2/5
Pls help me, im not understand this
Answer:
Step-by-step explanation:
I don’t understand plz help me
Answer:
C×6=D
Step-by-step explanation:
You don't know her me calculators they have or they bought so you take C for the calculators multiply by 6 and D is the product or answer.
Please please please help quickly!
Um th eanswer is 56-64-34-3402-30 = 19038
