Which of the following shows the correct order?
5497,0.75,
0{}=c075 <
° 0,75–1.2
(23<3<0,75
Answers
Answer:
The last one, (1/2)^2 < 2/3 < 0.75
Step-by-step explanation:
So lets try to put each number in the same form, and see what their values are.
Lets start with (1/2)^2
This is squaring the 1 and 2 in 1/2. 1^2 is 1. 2^2 is 4. So its now:
1/4
Lets look at the others:
2/3
Lets just give it a common denominator. To do this, lets find the lowest number that both 3(from 2/3) and 4(from 1/4) go into. This is also known as the LCM.
This will be 12.
Since 3(from 2/3) goes into 12 4 times, we multipy both numerator and denominator of 2/3 by 4:
4*2=8, 3*4=12:
8/12
Since 4(from 1/4) goes into 12 3 times, we multiply both the numerator and denominator by 3:
1*3=3, 4*3=12:
3/12
So lets just go over what we know so far:
(1/2)^2 = 3/12
2/3 = 8/12
Now lets find our last value:
0.75
When converted into fraction form, we will get:
3/4
We already have a LCM, which is 12, that goes into this.
The denominator goes into 12 3 times, so again, we multiply numerator and denominator in this:
3*3=9, 4*3=12:
9/12
So:
(1/2)^2 = 3/12, 2/3 = 8/12, and 0.75 = 9/12
3/12 is smaller than 8/12, and 8/12 is smaller than 9/12. This can be written as:
3/12 < 8/12 < 9/12
And this basically means that:
(1/2)^2 < 2/3 < 0.75
This is the last answer in your answer list.
Hope this helps!
Related Questions
Evaluate the integral. (Use C for the constant of integration. Enter your answer using function notation - use ln(x) instead of ln x.)
Answers
Answer:
[tex]\int\limits {\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} \, dx = \frac{3}{2}\ln(x^2 + 1) + 4\sqrt{3}\tan^{-1}(\frac{x}{\sqrt 3} )+ c[/tex]
Step-by-step explanation:
Given
[tex]\int\limits {\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} \, dx[/tex]
Required
Integrate
Using partial fraction, we have:
[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{Ax+B}{x^2 + 1} + \frac{Cx + D}{x^2 + 3}[/tex]
Take LCM
[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{(Ax+B)(x^2 + 3)+ (Cx + D)(x^2 + 1)}{(x^2 + 1)(x^2 + 3)}[/tex]
Cancel out the denominators
[tex]3x^3 + 4x^2 + 9x + 4} = (Ax+B)(x^2 + 3)+ (Cx + D)(x^2 + 1)[/tex]
Open brackets
[tex]3x^3 + 4x^2 + 9x + 4} = Ax^3+Bx^2 + 3Ax +3B+ Cx^3 + Dx^2 + Cx + D[/tex]
Collect like terms
[tex]3x^3 + 4x^2 + 9x + 4 = Ax^3+ Cx^3+Bx^2+ Dx^2 + 3Ax+ Cx +3B + D[/tex]
Compare like terms on opposite sides
[tex]Ax^3 + Cx^3 = 3x^3[/tex] [tex]A + C = 3[/tex]
[tex]Bx^2 + Dx^2 = 4x^2[/tex] [tex]B + D = 4[/tex]
[tex]3Ax + Cx = 9x[/tex] [tex]3A + C = 9[/tex]
[tex]3B + D = 4[/tex]
Subtract [tex]B + D = 4[/tex] from [tex]3B + D = 4[/tex]
[tex]3B - B + D - D = 4 - 4[/tex]
[tex]2B + 0 = 0[/tex]
[tex]2B = 0[/tex]
[tex]B = 0[/tex]
[tex]B + D = 4[/tex]
[tex]D =4 - B[/tex]
[tex]D =4 - 0[/tex]
[tex]D =4[/tex]
Subtract [tex]A + C = 3[/tex] from [tex]3A + C = 9[/tex]
[tex]3A - A + C - C = 9 - 3[/tex]
[tex]2A = 6[/tex]
[tex]A = 3[/tex]
[tex]A + C = 3[/tex]
[tex]C = 3 - A[/tex]
[tex]C = 3 - 3[/tex]
[tex]C = 0[/tex]
So, we have:
[tex]A = 3[/tex] [tex]B = 0[/tex] [tex]C = 0[/tex] [tex]D =4[/tex]
[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{Ax+B}{x^2 + 1} + \frac{Cx + D}{x^2 + 3}[/tex]
[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{3x+0}{x^2 + 1} + \frac{0*x + 4}{x^2 + 3}[/tex]
[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{3x}{x^2 + 1} + \frac{4}{x^2 + 3}[/tex]
The integral becomes:
[tex]\int\limits {[\frac{3x}{x^2 + 1} + \frac{4}{x^2 + 3}]} \, dx[/tex]
Split:
[tex]\int\limits {\frac{3x}{x^2 + 1} \, dx + \int\limits {\frac{4}{x^2 + 3}} \, dx[/tex]
Split
[tex]\frac{3}{2} \int\limits {\frac{2x}{x^2 + 1} \, dx + 4\int\limits {\frac{1}{x^2 + 3}} \ dx[/tex]
Integrate
[tex]\frac{3}{2}\ln(x^2 + 1) + 4\sqrt{3}\tan^{-1}\frac{x}{\sqrt 3} + c[/tex]
Hence:
[tex]\int\limits {\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} \, dx = \frac{3}{2}\ln(x^2 + 1) + 4\sqrt{3}\tan^{-1}(\frac{x}{\sqrt 3} )+ c[/tex]
Convert the following equation to slope-intercept form to graph: 7x-y =_3
Answers
Answer:
y intercepts are (0,3), x intercepts are (0.43, 0)
Step-by-step explanation:
I think that's correct I'm not to sure.
Suppose a monument in the center of your town casts a shadow that is 32 feet long. If the angle of elevation is 47°, what is the height of the monument?
Answers
Answer:
Step-by-step explanation:
Using the solution diagram below ;
Let height of monument = h
Using trigonometric relation :
Tan θ = Opposite / Adjacent
Tan 47 = h / 32
h = tan 47 * 32
h = 34.315 feets
h = 34.3 feets
what is 41393415 in kg?
Answers
Answer:
41393415 in kg is 1.8776E+07, or about 18775737.2.
Step-by-step explanation:
For this equation, you should divide 41393415 by approximately 2.20462262 to get your answer of 1.8776E+07 or about 18775737.2.
Find the area of the shaded religion.
Giving brainliest! <3
Answers
Answer:
252
Step-by-step explanation:
12*18+6*6
Answer:
about 180 tell me if im wrong
Suppose that four men and four women will be randomly lined up, from left to right, with all possible orderings of these eight people being equally likely. What is the probability that the men will be in alphabetical order, from left to right, and at the same time the women will also be in alphabetical order, from left to right
Answers
Answer:
P = 1 / 40320 or P = 2.48*10⁻⁵
Step-by-step explanation:
The total number of outcomes To is:
To = 8! To = 8*7*6*5*4*3*2
To = 40320
Of all these outcomes there is only one proper outcome, therefore the probability of having all men and women in alphabetical order is:
P = 1 / 40320 or P = 2.48*10⁻⁵
If 16x2 + nx + 49 is the square of a
binomial, then what value could n be?
A.14
B.28
C.42
D.56
Answers
Answer:
Th correct option is (d).
Step-by-step explanation:
The given expression is :
[tex]16x^2 + nx + 49[/tex] ....(1)
We know that, 16 = 4² and 49 = 7²
Also, (a+b)² = a²+2ab+b²
The given expression becomes,
[tex]16x^2 + nx + 49=(4x)^2+nx+7^2\\\\=(4x)^2+2(4x)(7)+7^2\\\\=16x^2+56x+49\ ......(2)[/tex]
Comparing equations (1) and (2),
n = 56
Hence, the value of n is equal to 56.
Find the value Z a/2 needed to construct a confident
interval with the given level of 99.7%
Answers
Answer:
The critical value is [tex]Z_{\frac{\alpha}{2}} = 2.96[/tex]
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.997}{2} = 0.0015[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.0015 = 0.9985[/tex], so Z = 2.96.
The critical value is [tex]Z_{\frac{\alpha}{2}} = 2.96[/tex]
Simplify the expression:
7y+9+7–2y
Answers
Answer:
5y+16
Step-by-step explanation:
see image below:)
Answer:
5y+16
Step-by-step explanation:
like terms y and y
7y-2y
9+7
5y+16
If the measure of angle 2 is 2x+3 and the measure of angle 4 is 4x-7, what is x?
Answers
Answer:
-92
Step-by-step explanation:
2x+3-4x-7=180
Which expression represents the following statement? The quotient of 16 and 4 times 7 less than 11. (4 points)
Answers
Answer:
16/ 4 (11-7)
Step-by-step explanation:
The phrase "quotient" tells us that there is division involved. The phrase "times" tells us that there is multiplication involved. The phrase "less" tells us that there is subtraction involved. Using these terminologies and clues, you can basically put together the equation 16/ 4 (11-7).
Which of the following values have 3 significant figures? Check all that apply.
Answers
OPTION C AND D
99.8 AND 458 are the values have 3 significant figures
To determine if the amount of money spent on alcohol increases as the semester continues, the same individuals were surveyed in August and in November. The amount that they spent on alcoholic beverages over one weekend in each of the months was compared. In this problem, we want to make inferences about:
Answers
Options for the question:
a. one mean
b. comparing means from dependent samples
c. comparing means from 2 independent samples
d. one proportion e. comparing proportions from 2 independent samples
f. comparing proportions from dependent samples
Answer:
b. comparing means from dependent samples
Explanation:
The samples are dependent as same individuals are sampled over the months(August and November). Therefore individuals sampled in August will likely show some of the same traits in November. Also we are comparing means since we are working with mean of alcohol consumed for each period and then comparing with another period/months.
Find the equation of the line through point (5,1) and perpendicular to 5x−y=−3.
Answers
Answer:
you will need to specify a scale and draw the line from which I will solve with simultaneous linear equations
Point P is the center of the circle below. What is the exact area
of the shaded sector in terms of pi?
A. 16 pie units?
B. 48 pi units?
C. 120 pi units?
D. 192pi units
NEED HELP ASAP PLEASE
Answers
Answer:
[tex]Area =192\pi[/tex]
Step-by-step explanation:
Given
[tex]\theta = 120^o[/tex]
[tex]r =24[/tex]
Required
The area of the shaded sector
This is calculated as:
[tex]Area =\frac{\theta}{360} * \pi r^2[/tex]
This gives
[tex]Area =\frac{!20}{360} * \pi *24^2[/tex]
[tex]Area =\frac{1}{3} * \pi *576[/tex]
[tex]Area =\pi *192[/tex]
[tex]Area =192\pi[/tex]
in a bag I have 16 yellow marbles, 14 by marbles and 10 black marbles. If I draw to marbles, one at a time, what’s my probability of drawing a black marble, putting it back and then choosing a yellow marble
Answers
Answer:
1/10
Step-by-step explanation:
There are 16+ 14+10 = 40 marbles
P( black) = black/total = 10/40 = 1/4
We put it back
There are 16+ 14+10 = 40 marbles
P( yellow) = yellow/ total = 16/40 = 2/5
Multiply the probabilities together
P( black, yellow) = 1/4 * 2/5
= 2/20 = 1/10
Can someone please help with this one? Thank you!
Answers
Answer:
A'(5,1), B'(3,2), C'(4,5)
Find the value of x using the Pythagorean theorem
Answers
Answer:
Step-by-step explanation:
a^2+b^2=c^2
16^2+x^2=20^2
256+x^2=400
x^2=400-256
x^2=144
x=[tex]\sqrt{144[/tex]
x=12
A store offered a buy one get one free sale for a popular shirt. The manager noticed that 35% of consumers bought a red shirt, 25% a blue, and 40% a green. Assume all consumers bought either two shirts or none at all, but no consumer buys two shirts of the same color. How many consumers did not buy any of these shirts
Answers
Answer:
50%
Step-by-step explanation:
Let X = Green and red
Y = Red and blue
Z = Green and blue
( Buy green or red or blue )
⇒ (x + y) + (y + z) + (z + y) = 25 + 40 + 25
⇒ 2( x + y + z) = 100
∴ x + y + z = 50
Buy at least one shirt = 50%
So, did not buy any shirt = 100 - 50
= 50%
Which of the following is a sinusoid? A. y = cos(x) - 2 B. x^2 + y^2 = 1 C. y = 3sqrtx D. x^2/3+y^2/6=1
Answers
Answer:
A. y = cos(x) - 2
Step-by-step explanation:
The word "sinusoid" means the graph has a shape of the sine function that smoothly goes up and down.
However, the cosine function also has the same shape but the only thing is that it is horizontally translated. Thus, the cosine function is the sinusoid.
Area of a rectangle is 272.4 m if the length is 15 m what is the perimeter of the rectangle
Answers
Answer:
66.32
Step-by-step explanation:
Hello!
[tex]\large\boxed{66.32 m}[/tex]
We are given the area, so we can solve for the width given the length:
A = l × w
Thus:
272.4 = 15 × w
w = 18.16 m
The perimeter of a rectangle can be calculated using this equation:
P = 2l + 2w
Therefore:
P = 2(15) + 2(18.16)
P = 30 + 36.32 = 66.32m
What is the volume of the figure below in cubic meters
756
936
1008
1080
Answers
The cost to rent a car at one agency is $24.50 per day plus an additional $15.99 fee for insurance. At a different agency, the cost to rent a car is
$27.50 per day, but the insurance is only an additional $3.99 fee. Which equation could be used to find the number of days, d, at which the
rental fee is the same for both agencies?
Answers
Answer:
Step-by-step explanation:
Formulas:
C = 24.50d + 15.99
C = 27.50d + 3.99
y = 24.5d + 15.99
y = 27.5d + 3.99
the radius r of the circle below is 11cm
Answers
Answer:
[tex]{ \bf{area = \pi {r}^{2} }} \\ = 3.14 \times {11}^{2} \\ = 380.1 \: {cm}^{2} [/tex]
Step 1: Rewrite equation
As the first step, it is helpful to rewrite the equation for the area of a circle. The a will stand for area, the π will stand for pi, and the r will stand for radius.
a= πr²
Step 2: Substitute numbers
For step 2, we will substitute information. We are made aware that the radius is 11, so we will replace r with 11. To make the equation easier to understand, we will add the multiplication sign in between pi and 11 squared.
a= π•11²
Step 3: Solve using PEMDAS
To solve this equation, we will follow the order of operations, also referred to as PEMDAS, standing for parentheses-exponent-multiplication-division-addition-subtraction. According to this formula, the first thing we will need to do is solve for the exponent. To do so, let’s find the squared value of 11.
a= π•11²
a= π•121
For the next part, we need to multiply 121 by π for the final answer. For the sake of this problem, we will leave pi as 3.14. This can always be replaced by putting the pi symbol into your calculator, though we will use 3.14.
a= 3.14•121
a= 379.94
This is your answer. Hope this helps! Comment below for more questions.
PLEASE HELP ASAP !!!!!!!!
Answers
Explanation:
FBD = EBC
2x + 3 = 9x - 11
-7x = -14
x = -14/-7
x = 2
EBC = 9(2) - 11 = 18 - 11 = 7°
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION }}: [/tex]
We're provided - m [tex] \angle[/tex] FBD = ( 2x + 3 ) ° & m [tex] \angle[/tex] EBC = ( 9x - 11 ) ° and We're asked to find m [tex] \angle[/tex] EBC .Do you know what vertically opposite angles are ? - When two lines intersect , the angles formed opposite to each other are called vertically opposite angles. Vertically opposite angles [ VOA ] are always equal to each other.
[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]
Set up an equation and solve for x :[tex] \large{ \tt{❈ \: (2x + 3) \degree = (9x - 11) \degree} \: (BEING\: VERTICALLY \: OPPOSITE \: ANGLES)}[/tex]
[tex] \large{ \tt{⟶2x \degree + 3 \degree = 9x \degree - \: 11 \degree}}[/tex]
[tex] \large{ \tt{⟶3 \degree + 11 \degree = 9x \degree - 2x \degree}}[/tex]
[tex] \large{ \tt{⟶14 \degree = 7x \degree}}[/tex]
[tex] \large{ \tt{⟶ \: 7x \degree = 14 \degree}}[/tex]
[tex] \large{ \tt{⟶x = \frac{14 \degree}{7 \degree} }}[/tex]
[tex] \boxed{\large{ \tt{⟶x = 2 \degree}}}[/tex]
The value of x is 2°.[tex] \large{ \tt{☄ \: REPLACING \: VALUE}} : [/tex]
[tex] \large{ \tt{↝ \: m \: \angle \: EBC = (9x - 11) \degree = (9 \times 2 - 11) \degree = \boxed{ \boxed{ \tt{7 \degree}}}}}[/tex]
[tex] \boxed{ \boxed{ \large{ \tt{OUR \: FINAL \: ANSWER : \boxed{ \underline{ \bold{} \tt{7 \degree}}}} }}}[/tex][tex] \tt{✺ \: NOTHING \: CAN \: GIVE \: YOU \: THE \: POWER \: MORE \: THAN \: EDUCATION \: DOES!} \: ♪[/tex]
۵ Hope I helped! ツ
☼Have a wonderful day / evening !☃
# StayInAndExplore ! ☂
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84/120 simplified as a fraction
Answers
1. Find P (phone has internet or phone plays music) using this Venn diagram.

2. Explain why we need to subtract P(A and B) in the equation P(A or B) = P(A) + P(B) - P(A and B).
Answers
Answer:
tough question guy needed more points to answer
Step-by-step explanation:
MARK AS BRAINLIESTA journey between two towns, Pietermaritzburg and Durban, is exactly 90 km 3.1 Use a graph (with at least 5 different speeds in km/h) to model how variation in speed (x) over the journey causes variation in time taken (y) to complete the trip.
Answers
Answer:
Speed in km/hr Time in Minutes
90 60
45 120
30 180
15 360
10 540
time Decrease when speed increase
Number of times the speed is increased the number of times time taken is reduced so it is not possible to take no time at all
as we can see from the graph that it is exponential , reduction in time keep reducing with increase in speed
Step-by-step explanation:
The answer I put is wrong. SO don't put that as a answer. NEED TO EXPLAIN VERY IMPORTANT
Answers
Answer:
c
Step-by-step explanation:
OK 250 divided by 40 equals 6.25 so she would need 6 bags at least, i would say its your answer but you said its wrong so
Answer:
Solution given:
Annie needs 250 lb of cement to fix the outer step.
Each bag hold 40 lb of cement.
Now
40 lb =1bag
we need
250lb= ? bag.
we have
no of bag =needed lb/1 bag's lb=250/40=250/40=6.25
we do not need more than 7 bags
Annie needs 7 bags.
So
The required inequality is:
b≥7.
There are 15 boys and 12 girls in Rosemary’s class. One of the students is selected at random to be the class monitor. What is the probability the student selected is a girl?
A.
45
B.
59
C.
54
D.
49
Answers
Answer:
D.
Step-by-step explanation:
The probability the student selected is a girl will be;
⇒ 0.44
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
There are 15 boys and 12 girls in Rosemary’s class.
One of the students is selected at random to be the class monitor.
Now,
Since, There are 15 boys and 12 girls in Rosemary’s class.
Hence, Number of students = 15 + 12
= 27
So, The probability the student selected is a girl = 12 / 27
= 0.44
Therefore, The probability the student selected is a girl = 0.44
Learn more about the probability visit:
https://brainly.com/question/13604758
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