Answer:
0.05 cm
Step-by-step explanation:
The least-significant digit in the given measurement is the one in the 0.1 cm number place. The "greatest possible error" is half the value of that number place, so is ...
(0.1 cm)/2 = 0.05 cm . . . . "greatest possible error"
_____
For questions of this sort, we make the (not always practical) assumption that the measurement is rounded perfectly to the nearest 0.1 cm.
Answer:
0.005
Step-by-step explanation:
Consider the function y = f(x) = 3
The values of (1) and ((t), rounded to the nearest hundredth, are
and
, respectively.
Answer:
f(½) = 1.73
f(¼) = 1.32
Step-by-step explanation: 1.73 is the first one and 1.32 is the second one.
Which of these needs the denominator rationalized? -PLEASE HELP
Answer:
option b
Step-by-step explanation:
[tex] \sqrt{ \frac{5}{3} } [/tex]
[tex] \frac{ \sqrt{5} }{ \sqrt{3} } [/tex]
the denominator is in the surd form, so it must be rationalized
please need help I will be MARKING as BRIANILIST. thank you so much.
Answer:
C. 7
Step-by-step explanation:
Custodian has = [tex]5 \frac{1}{4} gallons[/tex]
Ever bookcase needs = [tex]\frac{3}{4} gallons[/tex]
We'll just divide them
Bookcases to be painted = [tex]5\frac{1}{4} / \frac{3}{4}[/tex]
= [tex]\frac{21}{4}* \frac{4}{3}[/tex]
= [tex]\frac{21}{3}[/tex]
= 7
What is the solution to this equation?
2x + 6 = 20
A. X = 13
B. X = 52
C. X = 28
D. X = 7
Answer:
d
Step-by-step explanation:
2(7)+6=20
14+6=20
20=20
Answer:
2x + 6 = 20
2x = 20 - 6
2x = 14
Divide both sides by 7
x = 7
That's option D.
Hope this helps.
Use the method of equating coefficients to find the values of a, b, and c: (x+4)(ax2+bx+c)=2x3+9x2+3x−4
Answer:
[tex]a = 2; b = 1\ and\ c = -1[/tex]
Step-by-step explanation:
Given
[tex](x+4)(ax^2+bx+c)=2x^3+9x^2+3x-4[/tex]
Required
[tex]Find\ a,b,c[/tex]
[tex](x+4)(ax^2+bx+c)=2x^3+9x^2+3x-4[/tex]
Open Bracket
[tex](x)(ax^2+bx+c)+(4)(ax^2+bx+c)=2x^3+9x^2+3x-4[/tex]
[tex]ax^3+bx^2+cx+4ax^2+4bx+4c=2x^3+9x^2+3x-4[/tex]
Collect like terms
[tex]ax^3+bx^2+4ax^2+cx+4bx+4c=2x^3+9x^2+3x-4[/tex]
By comparing coefficients; we have
[tex]ax^3=2x^3\\bx^2+4ax^2=9x^2\\cx+4bx=3x\\4c=-4[/tex]
Remove all traces of x from both sides
[tex]a=2\\b+4a=9\\c+4b=3\\4c=-4[/tex]
From the first equation;
[tex]a = 2[/tex]
From the last equation
[tex]4c = -4[/tex]
Divide both sides by 4
[tex]\frac{4c}{4} = \frac{-4}{4}[/tex]
[tex]c = \frac{-4}{4}[/tex]
[tex]c = -1[/tex]
Substitute -1 for c in the third equation
[tex]c+4b=3[/tex]
[tex]-1 + 4b = 3[/tex]
Add 1 to both sides
[tex]1-1 + 4b = 3+1[/tex]
[tex]4b = 4[/tex]
Divide both sides by 4
[tex]\frac{4b}{4} = \frac{4}{4}[/tex]
[tex]b = \frac{4}{4}[/tex]
[tex]b = 1[/tex]
Substitute 2 for a in the second equation [To confirm the value of b]
[tex]b+4(2)=9[/tex]
[tex]b + 8 = 9[/tex]
Subtract 8 from both sides
[tex]b + 8 - 8 = 9 - 8[/tex]
[tex]b = 1[/tex]
Hence;
[tex]a = 2; b = 1\ and\ c = -1[/tex]
i neeeeeeeeedd help filling in the blanks
Answer:
Step-by-step explanation:
6
2
11,034
70 ml/s
The length of a rectangle is 4 inches longer than the width. The perimeter is 48 inches. What is the width?
w = 14 cm
w = 28 m
w = 20 in
w = 10 in
Answer:
w = 10 in
Step-by-step explanation:
Perimeter is the measure of the length of all sides
48 = 2L + 2w
L = w + 4
^ use substitution
48 = 2(w + 4) + 2w simplify.
48 = 2w + 8 + 2w combine like terms
48 = 4w + 8 then subtract 8 from both sides
40 = 4w then divide by 4 to isolate w
10 = w
solve the equation x^4+7x^2-18=0 and express each solution in a+bi form
Answer:
The following are the solutions found for x:
+√2 + 0i
-√2 + 0i
0 + 3i
0 - 3i
Step-by-step explanation:
The given equation is:
x⁴ + 7x² - 18 = 0
Rewrite x4 as (x²)²
(x²)² + 7x² − 18 = 0
Let u = x²
u² + 7u − 18 = 0
Factorize:
u² + 9u - 2u - 18 = 0
u(u+9) -2(u+9) = 0
(u-2)(u+9) = 0
(x²-2)(x²+9) = 0
Seperate both equations:
x² - 2 = 0 x² + 9 = 0
x = ±√2 x = ±√-9
x = ±√2 x = ± 3√-1
x = ±√2 + 0i x = 0 ± 3i
Answer:
C
Step-by-step explanation:
How can you be certain that the angles you have created form a square inside the
circle?
Answer:
Step-by-step explanation:
Make sure that the angles are the same length, also make sure that the diameter of the circle is not smaller than that of the square to find diameter of a circle multiply the radius by 2, to find the radius use this formula
r=C over 2π
By Ensure that its angles are identical, and also ensure that circle's diameter is only smaller than the square because then the circle diameter multiplies the range by 2, so how you can find the [tex]\bold{r=C}[/tex] formula of the radius over [tex]\bold{2\pi}[/tex]
The building process is as follows:
Circle diameter is plotted.The method as described in the perfectly straight central axis of a portion is drawn by the bisector of the right angle of the radius. It is also a circular pattern diameter.The four areas on the circle that result are indeed the square vertices.Please find the attached file.
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Describe how to transform the graph of f into the graph of g. f(x) = x2 and g(x) = -(-x)2 The graph shifts left one unit. Reflect the graph of f across the y-axis and then reflect across the x-axis. Reflect the graph of f across the y-axis. Reflect the graph of f across the x-axis.
Answer:
Reflect the graph of f across the y-axis and then reflect across the x-axis.
Step-by-step explanation:
Reflection rules:
Reflection over x -axis:(x,y)→(x,-y)
Reflection over y-axis : (x,y)→(-x,y)
Graph:[tex]y= f(x)=x^2[/tex]
We are given that the graph of f into the graph of g.
[tex]f(x) = x^2[/tex] and [tex]g(x) = -(-x)^2[/tex]
Reflect over y axis.
Reflected graph [tex]=(-x)^2[/tex]
Reflect the obtained graph over x axis
[tex]g(x)=-(-x)^2[/tex]
So, Option B is true
Hence Reflect the graph of f across the y-axis and then reflect across the x-axis.
Answer:
i reflected it over the x and y axis tho
Step-by-step explanation:
bro trust me
Determine the amount of money you need to invest to have $26,000 dollars in 3 years if you invest it at 2.5% annual interest,
compounded monthly.
Answer:
$24123.20
Step-by-step explanation:
Remember your compounded interest rate formula: A = P(1 + r/n)^nt
Step 1: Write in known variables
26000 = P(1 + 0.025/12)^36
Step 2: Solve for P
26000 = P(1.0778)
P = 26000/1.0778
P = 24123.2
And we have our final answer!
15. Determine whether the pair of lines is parallel, perpendicular, or neither.
1
y = 2x - 5 and y
2x+7
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The lines are perpendicular because the product of their slopes is - 1.
B. The lines are parallel because the product of their slopes is - 1.
C. The lines are parallel because the slope of both lines is the same,
(Type an integer or a fraction)
D. The lines are perpendicular because the slope of both lines is the same,
(Type an integer or a fraction.)
E. The lines are neither parallel nor perpendicular because neither are their slopes the same nor
is the product of their slopes - 1.
Answer:
C. The lines are parallel because the slope of both lines is the same
Step-by-step explanation:
Parallel lines are formed when 2 lines have the same slope but different y-intercepts. Since the 2 given equations show this, the answer choice is C.
What is the value of x?
Answer:
x = 5
Step-by-step explanation:
Using similar triangles theorem
In similar triangles, ratio of their corresponding sides are equal.
Let the point where a line cuts BC = D
Length (AB/BD) = length(AC/CD)
15/3x = 9/(2x-1)
Cross multiply
15(2x-1) = 9(3x)
Expand the brackets
30x -15 = 27x
Collecting like terms
30x-27x = 15
3x = 15
Divide through by 3
x= 15/3
x= 5
Can someone help me with this question
Answer:
[tex]3[/tex]
Step-by-step explanation:
Write in the exponential form with a base of 3
[tex]9^{\frac{1}{2} }[/tex] → [tex](3^{2})^{\frac{1}{2} }[/tex]
Simplify the expression by multiplying the exponents.
[tex]2 * \frac{1}{2} = 1[/tex]
[tex]3^{1} = 3[/tex]
If the nth term of a number sequence is n squared -5 find the first 3 terms and the 10th term
Answer:
If the nth term is n^-5,
Then the first term will be (1)^-5=1
Second term will be (2)^-5= 1/32
3rd term=(3)^-5 = 1/243
So, 10th term will be (10)^-5=1/100000
The first term is -4, second term is -1, third term is 4 and 10th term is 95.
What is sequencea group of connected actions, moves, or things that happen in succession and have a specific order.
Given that,
The nth term of sequence = n² - 5 (1)
To find terms, Substitute values of n in equation (1),
Substitute n=1, the first term = 1-5 = -4
Substitute n=2, the second term = 4-5 = -1
Substitute n=3, the third term = 9-5 = 4
For 10th term, substitute n= 10,
10th term = 100-5 = 95
First term =-4, second term = -1, third term = 4 and 10th term = 95.
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would this be a? please explain, thanks!
Answer:
Itz B.
Step-by-step explanation:
To form a triangle to two smaller sides have to be able to add up to be greater than the big side
I NEED HELP PLEASEEE \6(2x – 11) + 15 = 3x + 12 Part A: Write the steps you will use to solve the equation, and explain each step. (6 points) Part B: What value of x makes the equation true? (4 points)
Answer:
x = [tex]-7\frac{2}{3}[/tex]
Step-by-step explanation:
=> 6(2x+11) + 15 = 3x+12
(Expand the brackets)
=> 12x+66+15 = 3x+12
(Adding 66+15)
=> 12x+81 = 3x+12
(Subtracting 81 and 3x to both sides)
=> 12x-3x = 12-81
=> 9x = -69
(Dividing both sides by 9)
=> x = [tex]\frac{-69}{9}[/tex]
(Simplifying)
=> x = [tex]\frac{-23}{3}[/tex]
(Converting it into mixed form)
=> x = [tex]-7\frac{2}{3}[/tex]
So, x = [tex]-7\frac{2}{3}[/tex] will make the equation true.
Answer:hello
The answer is 7
Step-by-step explanation:at first solve this6(2x-11)=12x-66
Then write 12x-66+15
Then we have this 12x-66-15=3x+12
Then we have to write (x) in the left side and number in right side
12x-3x=66-15+129x=63
X=7
Good luck
x^2-18-6 completing the square
Answer:
(x+0)^2-24
Step-by-step explanation:
use (b/2)^2 to complete the square.
Answer:
(x+0)^2-24
Step-by-step explanation:
I took ap math XD
Which transformation is not an isometry?
What is the solution set of x for the given equation? x^2/3=x^1/3+4=6 A. -2, -1 B. 2, -1 C. -8, -1 D. 8, -1 E. 2, 8
Answer:
Interpreting as: x^2/3=x^1/3+4=6 A
Input:
x^2/3 = x^(1/3) + 4 = 6 A
Help idk how to do this
Answer:
[tex]y=5[/tex]
Step-by-step explanation:
[tex]BD=16\\BC=16/2=8\\CD=16/2=8[/tex]
[tex]2y-2=8\\2y-2+2=8+2\\2y=8+2\\2y=10\\2y/2=10/2\\y=5[/tex]
[tex]y+3=8\\y+3-3=8-3\\y=5[/tex]
Describe how to find the inverse of the function:
[tex]f(x) = \sqrt{x + 3} [/tex]
Answer:
f(x) = x² – 3
Step-by-step explanation:
Lemme try
f(x) = √(x + 3)
y = √(x + 3)
y² = x + 3
y² – 3 = x
Cz we gonna invers that, we'ld turn x to y and y to x, so:
x² – 3 = y
Yeah, inverse of the function is y=x²–3
Answer:
Step-by-step explanation:
if u help me i will be very thankful!!
Answer:
C
Step-by-step explanation:
[tex](a^{-2}\cdot 8^7)^2= \\\\a^{-2\cdot 2}\cdot 8^{7\cdot 2}= \\\\a^{-4}\cdot 8^{14}[/tex]
Therefore, the correct answer is C. Hope this helps!
A planet has a circular orbit around a star. It is a distance of 74,000,000 km from the centre of the star. It orbits at an average speed of 38,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.
Answer:
81.14 Earth days.
Step-by-step explanation:
Step 1
The formula to solve this question is given as
Speed = Distance / Time
In the question, we are given the following values
Distance of the planet = 74,000,000 km
Average Speed of the planet = 38,000 km/h.
Average Speed = Distance / Time
38,000 km/h = 74,000,000 km/ Time
Cross Multiply
38,000 km/h × Time = 74,000,000 km
Divide both sides by 38,000 km/h
Time(hours) = 74,000,000 km /38,000 km/h
Time(hours) = 1947.3684211 hours
This means the circular orbit of the planet around the star takes 1947.3684211 hours.
Step 2
In the question, we were asked to find how many Earth days it takes.
Hence, it is known that
24 hours = 1 (Earth) day
1947.3684211 hours = x days
We would cross Multiply
24 hours × x days = 1947.3684211 hours.
Divide both sides by 24 hours
x days = 1947.3684211 hours ÷ 24 hours
x days = 81.140350879 Earth days.
Therefore, the number of Earth days it takes the planet to orbit the star to 2 significant figures =
81.14 Earth days.
Two jets are flying towards each other from airport that are 1200 km apart. One jet is flying at 250 km.h-1 and the other jet at 350 km.h-1 . If they took off at the same time, how long will it take for the jets to pass each other?
Answer: 2 hours
Step-by-step explanation:
The total velocity at which the planes are approaching each other is 350 + 250 = 600 km/h
Since time = distance/velocity, time = 1200km/ 600 km/h = 2 hours.
Find the domain and range of the following relation. Also determine whether the relation is a function,
{(42)(4,5),(4.7),(4.9)}
Answer: domain: {2, 3, 4, 6}
range: {–3, –1, 3, 6}
Step-by-step explanation:
DOMAIN: {4}
RANGE: {2,5,7,9}
FUNCTION? NO!
Your domain is always your x-coordinates, which are the first coordinates in a pair.
Your range is always your y-coordinates, which are the second coordinates in a pair.
When listing the points, it's important to remain a relation CANNOT be a function if the x's repeat, so luckily, they do not repeat.
Also, when listing points for your range, remember, if they repeat, you should only count one of the numbers, as you can see from the answer, there were two nines, but instead, I put one.
prove that the value of the expression (125^2+25^2)(5^2–1) is divisible by 3
Step-by-step explanation:
[tex]A =(125^{2} + 25^{2} ) (5^{2} - 1)\\A = [(5^{3})^{2} + (5^{2})^{2} ] . (5^{2} - 1)\\A = (5^{6} + 5^{4} ). (5^{2} - 1)\\A = [5^{4} . ( 5^{2} + 5)].(5^{2} - 1) \\A = 5^{4} . (25+ 5). (5^{2} - 1)\\A = 5^{4} . 30. (5^{2} - 1)\\[/tex]
Since 30 is divisible by 3
Thus, A is divisible by 3
Good luck!
[tex](125^2+25^2)(5^2-1)=\\\\=(125^2+25^2)(25-1)=\\\\=(125^2+25^2)\cdot24=\\\\=(125^2+25^2)\cdot8\cdot{\bold{\underline3}}[/tex]
125 and 25 are integer ⇒125² and 25² are integer ⇒(125²+25²) is integer
One of factors of given expression is 3 so given expression is divisible by 3
q.e.d.
You do not need to line up the decimal points when subtracting two decimal numbers. TrueFalse
Answer:
false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
Or else it will give you an incorrect calculation
Which model represents a percent error of 25%? A model with 12 squares labeled exact value and 3 squares labeled error. A model with 10 squares labeled exact value and 5 squares labeled error. A model with 9 squares labeled exact value and 3 squares labeled error. A model with 8 squares labeled exact value and 4 squares labeled error.
Answer:
A model with 12 squares labeled exact value and 3 squares labeled error.
Step-by-step explanation:
The proportion of error is the number of errors divided by the number of trials. The percentage is the proportion multiplied by 100.
A model with 12 squares labeled exact value and 3 squares labeled error.
3/12 = 0.25
0.25*100 = 25%
This is the answer.
A model with 10 squares labeled exact value and 5 squares labeled error.
5/10 = 0.5
0.5*100 = 50%
A model with 9 squares labeled exact value and 3 squares labeled error.
3/9 = 0.3333
0.3333*100 = 33.33%
A model with 8 squares labeled exact value and 4 squares labeled error.
4/8 = 0.5
0.5*100 = 50%
Answer:
A
Step-by-step explanation:
edg 2020
use the quadratic formula to find both solutions to the quadratic equation given below. 3x^2-x+4=0
Answer: B and D
Step-by-step explanation: A p e x
The value of the quadratic equation 3x² - x + 4 = 0 is B. {1 - √(-47)}/6 and
D. {1 + √(-47)}/6.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, 3x² - x + 4 = 0.
We know x = {- b ± √(b² - 4ac)/2a}.
∴ x = {+ 1 ± √(1 - 48)}/6.
x = {1 ± √(-47)}/6.
x = {1 + √(-47)}/6 Or {1 - √(-47)}/6.
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