Answers
2(pi)/3
Because 4(pi)-/5 minus 2(pi)-/5 is 2(pi)-/5
After that you cancel -/5 from the numerator and denominator to get 2(pi)/3
Answer:
The answer is A
Related Questions
Se quieren llenar 100 botellas de agua con una capacidad de 1/4lt ¿cuantos litros de agua son necesarias?
Answers
Answer:
25
Step-by-step explanation:
Because 100 25+25+25+25 or 25/1/4
Solve the following system of equations. Show all work and solutions.
y = 2x2 + 6x + 4
y = −4x2 + 4
Answers
The sum of two numbers is 48. If one number is three more than twice the second number, which of the following is the
smaller number?
O 24
O 15
O 30
O 33
Answers
Answer:
15 (second option listed)
y = 15
x = 30
Step-by-step explanation:
setting up this statement algebraically:
[where x = one of our numbers, y = other number]
x + y = 48
x = (2y + 3)
x = 2y + 3
plug x [now in terms of y] into the original equation
(2y + 3) + y = 48
3y + 3 = 48
- 3 - 3
3 y = 45
÷3 ÷3
y = 15
from this value, we can plug it back into the y-value of the original equation to find our x-value
x + y = 48
x + 15 = 48
- 15 - 15
x = 33
{to check: 33 is 2y + 3}
we know that y = 15 (smaller number) and that x = 33 (larger number)
so, the solution to the question of which is the smaller number is 15
Hope this helps
Solve the Proportion.
10/a = 15/24
a=?
Answers
Answer:
a=16
Step-by-step explanation:
10/a=15/24, a≠0
10/a=5/8
80=5a
5a=80
a=16,a≠0
a=16
10/a = 5/8
Because 10 divided by 2 equals 5, we could multiply 8 by 2 to get what our denominator that is missing would be. 8 x 2 = 16, so a = 16. 10/16 = 15/24.
Your final answer: a = 16
The first step in determining the solution to the system of equations, y = -x2 - 4x - 3 and y = 2x + 5, algebraically is to set the two equations equal as -x2 - 4x -3 = 2x + 5. What is the next step?
Answers
Answer:
See below
Step-by-step explanation:
Next step is to gather 'like' terms
-x2 - 4x -3 = 2x + 5.
x^2 + (4x + 2x) + (3+5) = 0 then simplify
x^2 + 6x + 8 = 0 then factor
(x+4)(x+2) = 0
so either of these terms = 0
x+4 = 0 means x = -4
x+ 2 = 0 means x = - 2
Answer:
d
Step-by-step explanation:
Combine like terms onto one side of the equation.
Which of the following statements correctly describes this expression? 2x + 4
A. 4 less than 2 times a number
B. 2 times a number more than 4
C. The difference of 2x and 4
D. 4 times a number added to 2
Answers
Answer:
2 times a number more than 4
Answer:B
Step-by-step explanation:
What is the size of the angle, below?
Answers
Answer:
The size of the angle is between 180 and 360*. I cannot say the exact angle but my guess is correct and the correct answer is in between the 2 numbers.
Step-by-step explanation:
A trader mixes 2 kg
of butter which costs $8 per kg
with 3 kg of butter which costs $6 per kg. He sells the mixture at $2.55 per 250g. Express his profit as a percentage of his selling price.
Answers
Answer:
33.3333%
Step-by-step explanation:
Total number of kg- 2+3=5
Total money- (2×8)=16
(3×6)=18
16+18=34
$34=5000g
=250g
(250×$34)÷5000=$1.7
profit-2.55-1.7=0.85
(0.85/2.55)×100=33.333%
Which of the following will result in a rational number? Select all that apply.
Answers
An expression is defined as a set of numbers, variables, and mathematical operations
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression can be simplified as,
A.) 7 3/4 - (√11)/5 = (155-4√11)/20
B.) 7 3/4 ÷ (√11)/5 = 155/(4√11)
C) 7 3/4 + (√16)/5 = 166/20
D.) 7 3/4 + (√16)/5 = 31/5
The option that will result in a rational number is C and D.
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Which sign should be used for the following equation? 0.452 _______ 0.712 < > ≤ ≥
Answers
Answer:
<
Step-by-step explanation:
0.4<0.7
4 is smaller than 7 so the sighn points to 0.7
What is the area of Victor’s storage space?
Answers
The area of victor's storage space is 28 square inches
What is a polygon?A polygon is a plane shape with at least three sides.
Analysis:
Area of storage = area of triangle + area of rectangle
Height of triangle = 5 - 3 = 2 inches
Base of triangle = 12 - 4 = 8 inches
length of rectangle = 5 inches
width of rectangle = 4 inches
Area of storage = 5 x 4 + 1/2 x 8 x 2 = 28 square inches
In conclusion, the area of the storage space is 28 square inches.
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Where would 8.46 be located on a number line?
Answers
8.46 be located between 8.45 and 8.47 on a number line.
What is the number line?A number line is a horizontal line that has equally unfolded range increments. The numbers protected on the line will determine how the wide variety on the road may be responded to. The query that goes with the wide variety determines how it will likely be used, as an instance, in plotting a point.
What is a number line example?Numbers on various lines include all sets of numbers namely natural and complete numbers. An instance of a fixed of entire numbers is:(0, 1, 2, 3,5,6 …….) while the natural numbers consist of:1, 2, 3, four, five, 6…. a number of lines consists of 3 basic elements. within the center, the starting place is commonly plotted with 0.
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Express in the form
1
:
n
.
Give
n
as a fully simplified fraction.
12
:
2
Answers
Answer:
1:(1/6) where n = 1/6
0 y-
Which of the following exponential equations
-2
|--1
2.0041
2.0123
3
2.0014
0 y=
x-3
Oy=3*-2-3
Oy-3-³+2
-3
3
3
-2
3
G
could be represented by the table below?
o
1
2.037
2.111
2.333
3
4
5
34:01
ما
11
Answers
Answer:
can you write these in proper way
A linear inequality that is represented by the graph include the following: C. y > 2/3(x) + 3.
What is the rules for writing an inequality?In Mathematics, there are two (2) main rules that are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a graph and these include the following:
here, we have,
The line on a graph should be a solid line when the inequality symbol is (≥ or ≤).
The line on a graph should be a dashed (dotted) line when the inequality symbol is (> or <).
The line on a graph should be shaded above the line when the inequality symbol is (>).
Since the line on this graph was shaded above the line and it passes through the point (0, 3), it ultimately implies that 3 is part of its solution and as such, it is represented by this inequality equation:
y > 2x/3 + 3.
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Mary and Julie both have a goal of raising $1000 for
charity. Mary raises $12 every 4 days. Julie raises $19
every 6 days.
Will Mary or Julie reach her goal first? Explain.
Answers
Answer:
julie
Step-by-step explanation:
12 x 4 +=48
19x 6 = 114
how to round to 4 decimal places using calculator with the given number of tan 30
Answers
Answer:
0.5774
Step-by-step explanation:
1) Input tan(30) into a calculator to get 0.5773502692...
2) To count 4 decimal places, we start after the decimal point. This means that we end it at the first 3. Additionally, we round 3 up to 4 because of the digit after it which is 5.
[tex]\Large\maltese\underline{\textsf{Our problem:}}[/tex]
What is the tangent of 30, rounded to 4 decimal places?
.
[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]
First, let's focus on this phrase - "tan 30"
.
What in the world could that possibly mean?
"tan" is the tangent, which is one of the six trig ratios.
.
The simplest way to find the tangent of 30 degrees is ... with a calculator!
[tex]\bf tan\quad 30 \approx 0.5774[/tex]
The answer has been rounded to 4 decimal places, like you asked.
Since the fifth decimal place was more than 5, I added 1 to the fourth decimal place - 0.5774, and not 0.5773.
[tex]\rule{300}{1.7}[/tex]
[tex]\bf tan 30\approx 0.5574. \quad Hope\;you\;will\;have\;a\;fantabulous\;day![/tex]
~ [tex]\boxed{\bf aesthetic\;\not{101}}[/tex]~
Help with Another Pre Calculus Question
Answers
The last equation h(x) = 2x+4/x+1.
What is a graph?The pictorial representation of quantities and how the increase or decrease in one affects the other.
Analysis:
The graph cuts the x-axis and y-axis at (-2, 0) and(0, -4) respectively.
gradient of the curve = y2 - y1/x2 - x1 = -4-0/0--2 = -4/2 = -2.
The equation with a gradient equal to -2 is, h(x) = 2x+4/x+1
differentiating the equation by quotient rule,
u = 2x+4, du/dx = 2, v = x+1 dv/dx = 1
dy/dx = [tex]\frac{(x+1)(2) - (2x+4)(1)}{(x+1)^{2} }[/tex] = [tex]\frac{-2}{(x+1)^{2} }[/tex]
When x = -2, dy/dx = -2
In conclusion, 2x+4/x+1 is the equation for the curve above.
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Are the equations -11(x-2)=8 and x-2=8+11 equivalent?
Answers
No, the equations -11(x - 2) = 8 and x - 2 = 8 + 11 are not equivalent.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
Then the equation is given below.
-11(x - 2) = 8
By simplifying, we have
x - 2 = - 8 / 11
No, the equations -11(x - 2) = 8 and x - 2 = 8 + 11 are not equivalent.
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What is the distance formula?
OA. √y₂-y₁)2-(x2-x2)2
OB. √(x₂+x1)²-(y₂+y₁)2
OC. √x₂-x₁)+(y₂-y1)
OD. √(x₂-x1)²+(y₂-y₁)2
Answers
Will always be x2 and y2 starting off
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Answers
For more explanation, please see the attachment
Write an equation for a polynomial with all the following features:
a. The degree is 5. b. The polynomial has 4 terms.
c. The graph of the polynomial crosses the vertical axis at y = 12.
2. Identify the approximate input values of any relative maximums and minimums of
this 5th degree polynomial.
Answers
Members of a soccer team raised $1818.50 to go to a tournament. They rented a bus for $960.50 and budgeted $35.75 per player for meals. Write and solve an equation which can be used to determine p, the number of players the team can bring to the tournament.
Answers
The equation formed by the given condition is 960.5 + 35.75p ≤ 1818.50 and the number of players they can bring is a maximum of 24.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given that,
The total amount that can be spent = $1818.50
Rent of bus = $960.50
Cost per player = $35.75/player
So,
Cost of bus + Cost per player × number of players ≤ The total amount that can be spent
960.50 + 35.75p ≤ 1818.50
35.75p ≤ 858
p ≤ 24
Hence "The equation formed by the given condition is 960.5 + 35.75p ≤ 1818.50 and the number of players they can bring is a maximum of 24".
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Equation:
Step-by-step explanation:
Solve the equation:
1-2 lnx = -4
~ [?]
X~
Round your answer to the nearest thousandth.
Answers
Answer:
x ≈ 12.182
Step-by-step explanation:
1 - 2lnx = - 4 ( subtract 1 from both sides )
- 2lnx = - 5 ( divide both sides by - 2 )
lnx = 2.5
x = [tex]e^{2.5}[/tex] ≈ 12.182 ( to the nearest thousandth )
Answer:
x = 12.182 (nearest thousandth)
Step-by-step explanation:
Given equation:
[tex]1-2 \ln x=-4[/tex]
Subtract 1 from both sides:
[tex]\implies 1-1 -2 \ln x =-4-1[/tex]
[tex]\implies -2 \ln x=-5[/tex]
Divide both sides by -2:
[tex]\implies \dfrac{-2 \ln x}{-2}=\dfrac{-5}{-2}[/tex]
[tex]\implies \ln x = \dfrac{5}{2}[/tex]
[tex]\textsf{As }\: \ln x=\log_ex \:\:\textsf{}[/tex], the natural logarithm can be canceled by giving both sides a base of e (Euler's number):
[tex]\implies e^{\ln x}= e^{\frac{5}{2}[/tex]
[tex]\implies x= e^{\frac{5}{2}[/tex]
[tex]\implies x=12.182\:\: \sf (nearest\:thousandth)[/tex]
A survey conducted by Conquest Communications Group randomly sampled 700 registered voters in the U.S. 258 of the 700 sampled voters correctly answered that fourth graders in the U.S. are above average for overall education compared to other countries. Choose a number between 80 and 96. This is the level of confidence you will use for this
Answers
The interval of probability at the confidence interval is 95% is 0.3329 , 0.4043 and the margin of error is 0.0357.
The complete question is
A survey conducted by Conquest Communications Group randomly sampled 700 registered voters in the U.S. 258 of the 700 sampled voters correctly answered that fourth graders in the U.S. are above average for overall education compared to other countries.
Choose a number between 80 and 96. This is the level of confidence you will use for this section of problems. What is your number?
With the confidence level you chose, construct that % confidence interval for the population proportion of voters that answered correctly that 4th graders in the U.S. are above average in overall education compared to other countries. What is the margin of error for this confidence interval?What is Margin of Error ?It is defined as the margin by which the values calculated will differ from the real values .
Let the chosen number is 95 %
95% Confidence Interval ,
[tex]\rm p = p \pm \dfrac{Z_{0.05}}{2} \sqrt \dfrac{p(1-p)}{n}}\\\\= \dfrac{258}{700} \pm 1.96 \sqrt \dfrac{\dfrac{258}{700}(1-\dfrac{258}{700})}{700}}\\[/tex]
Therefore p at 95% Confidence Interval is given by 0.3329 , 0.4043
The margin of error is given by 0.4043-0.3329
= 0.0357
Therefore the interval of probability at the confidence interval is 95% is 0.3329 , 0.4043 and the margin of error is 0.0357.
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The lowest point in the United States is the Sierra Nevada in California. Its altitude is 300 feet below the sea level. Identify the absolute value of the point. (Sierra Nevada).
Answers
Answer:
300 feet
Step-by-step explanation:
The absolute value of a number is defined as that number's distance from 0 (the origin) on a number line, regardless of direction.
In this case, the origin can be represented by sea level. Since the lowest point of 300 feet is taken by reference to sea level, it can be said that the absolute value of the point is 300 feet, since this represents its vertical distance from sea level.
Hope this helps!
3. A sequence of numbers is shown below. 1 5 9 13 17.
(a) Find an expression for the nth term of the sequence.
Answers
Answer:
Un= 1 + (n-1)4
Step-by-step explanation:
a=1
d=5-1=9-5=4
using the formula Un=a+(n-1)d
PLEASE HELP!! WILL GIVE BRAINLYEST AWARD TO 1st RIGHT!!
Answers
Answer:
-11 < x < 7
(first option listed)
Step-by-step explanation:
we know that x² + 4x < 77
first, we should rewrite our expression in standard
x² + 4x - 77 < 0
factor {find two numbers that multiply to c (77) and add to b (4) }
(x - 7) (x + 11) < 0
set both roots to 0:
x - 7 < 0
+ 7 + 7
x < 7
x + 11 < 0
x > -11
so, x will be < 7 and > -11
which can be expressed as
-11 < x < 7
So, -11 < x < 7
Answer:
-11 < x < 7
Step-by-step explanation:
1st option;
Which triangles are similar to ABC
Answers
Answer:
DEF
Step-by-step explanation:
it is mathematically similar as the sides have a scale factor of 4
Solve for x in the diagram below.
Answers
Answer:
x = 34
Step-by-step explanation:
A straight line is 180 degrees
We can sum angles to form a straight line
x+12 + 100 +x = 180
Combine like terms
2x+112 = 180
2x+112-112 = 180-112
2x = 68
Divide each side by 2
2x/2 = 68/2
x = 34
answer:
=x+12+100+x =180
=x+x+12+100=180
=2x+112=180
=2x=180-112
=2x=68
=2/2x=68/2
=x=34
2. The wind blows the pinwheel below clockwise 180 degrees. What positions would the ribbon labeled A end up in after the wind blows it?
Answers
Answer: In between the red and yellow ribbons
Step-by-step explanation:
When something is rotated 180 degrees, you basically just mirror it. Since this pinwheel has an uneven amount of ribbons, there isn't a ribbon opposite of it, so it would be between red and yellow.