Answer:
1/3
Step-by-step explanation:
[tex][x^2 - ln(2/x)]/[3x^2 + 2x]\\[/tex]
∞/∞
[tex]\frac{d}{dx}[x^2-ln(2/x)] =2x+\frac{1}{x}\\ \frac{d}{dx}[3x^2+2x]=6x+2\\\frac{2x+\frac{1}{x}}{6x+2}[/tex]
Also ∞/∞
[tex]\frac{d}{dx}[2x+\frac{1}{x}]=2-1/x^2\\\frac{d}{dx}[6x+2]=6\\\\[/tex]
[tex]\lim_{x \to \infty} \frac{2-\frac{1}{x^2} }{6}\\=\frac{2}{6} \\=\frac{1}{3}[/tex]
Pleaseeee help I'll give Brainliest urgent!!!!!!!!!!!!!!!!!
Answer:
The answer is
'The range of the data for girls is less than the range of the data for boys'
I'm don't know dfhgh fhfghfg hgf hgfh
True or False: You can have 2 right angles in a triangle.
What is the scale factor between 4 cm and 10 cm?
B:10 cm
A:4 cm
Answer: B
Step-by-step explanation:
To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides. If you begin with the smaller figure, your scale factor will be less than one. If you begin with the larger figure, your scale factor will be greater than one. The ratio of any two corresponding lengths in two similar. geometric figures. Corresponding Angles: Angles in matching locations of two shapes
5 tons of compost cost $6,300.00. What is the price per pound?
Answer:
300 , is the answer
Step-by-step explanation:
Felicia and gabriella are on the hamilton middle school basketball team. The box plots show the number of points they scored in 8 basketball games.
Answer:
I
Step-by-step explanation:
I need the box plot to do the problem
(a) Mary and Cynthia were building a cone-shaped sand castle. After some time, the diameter of
the sand shaped cone was 14 in. and the height was 15 in. What is the appoximate volume of the
sand cone rounded to the nearest tenth? (Show work!!) PLEASE HELP!
Answer:
[tex]\displaystyle V\approx 769.7\text{ in}^3[/tex]
Step-by-step explanation:
We are given that the diameter of the sand-shaped cone is 14 inches, and the height is 15 inches.
The volume for a cone is given by:
[tex]\displaystyle V=\frac{1}{3}\pi r^2h[/tex]
Where r is the radius and h is the height.
Since the diameter is 14, the radius is 7.
And we are given that the height is 15.
Therefore, the volume will be:
[tex]\displaystyle V=\frac{1}{3}\pi (7)^2(15)[/tex]
Use a calculator:
[tex]\displaystyle V\approx 769.7\text{ in}^3[/tex]
The volume of the cone is approximately 769.7 cubic inches.
Solving Systems of Equations using substitution
Y= -6x - 10
Y= x + 4
simplify -2+5(2+6r)
I’ll mark brainlist
Answer:
10+30r
Step-by-step explanation:
-2+5(2+6r)
expand 5(2+6r)
5x2=10
(6r)x(5)=30r
so it is 10+30r
then add that to -2
8+30r
Hope that helps :)
Consider the non-right triangle below.
Suppose that m∠BCA=71∘, and that x=31 cm and y=50 cm. What is the degree measure of ∠ABC?
m∠ABC=
Answer:
m<ABC = 71°
Step-by-step explanation:
Given:
m<BCA = 71°
x = 31 cm
y = 50 cm
Required:
m<ABC
Solution:
First, find AB, using Cosine Rule:
AB² = x² + y² - 2xy*Cos m<ABC
Plug in the values
AB² = 31² + 50² - 2(31)(50)*cos 71
AB² = 3,461 - 1,009.26128
AB² = 2,451.73872
AB = √2,451.73872
AB = 49.5150353 ≈ 50 cm
✔️Since AB ≈ 50 cm, and AC is also 50 cm, it means the triangle is an isosceles triangle.
Therefore, the base angles of ∆ABC, <ABC and <BCA, would be congruent.
Therefore,
m<BCA = m<ABC = 71°
m<ABC = 71°
Please answer both question above and below
A trapezoid has bases that measure 9 cm and 5 cm. The height of the figure is 4 cm.
What is the area of the trapezoid?
28 cm
36 cm
45 cm
90 cm
Answer:
Step-by-step explanation:
Could u attach a clear image??
Given the following formula, solve for n. S = (n − 2)180
answers
A) n=5/180-2
B) n=5/180+2
C) n=5-2/180
D)n=5+2/180
Answer: B
Step-by-step explanation:
I need help please will mark the brainliest
Answer:
im not smart
Step-by-step explanation:
i need points
what number Multiplied by 0.5, Multiplied by 3, Square the number, Add 1 equals 50?
Answer:
Step-by-step explanation:
first step: 0.5 * x
second step: 3* (0.5x) = 1.5x
third step: (1.5x)^2
fourth step: (1.5x)^2 + 1 = 50
(1.5x)^2 + 1 = 50 Subtract 1 from both sides
(1.5x)^2 = 49 Take the square root of both sides
1.5x = sqrt(49)
1.5x = +/- 7
1.5x = +7
x = 7/1.5
x = 4.67
1.5x = - 7
x = - 7 / 1.5
x = - 4.67
"bananas cost 89 cents each at the fruit stand.. Isabel has $11.75. how many bananas can she buy?" i forgot how to do this stuff pls help
Answer:
She can buy 13 bananas
Step-by-step explanation:
She has 11.75 and each banana costs .89
Start by dividing 11.75/.89 = 13.20
She will be able to buy 13 bananas total since she cannot buy a portion of a banana (0.2) so she will just have some leftover change.
A psychology professor assigns letter grades on a test according to the following scheme. A: Top 9% of scores B: Scores below the top 9% and above the bottom 56% C: Scores below the top 44% and above the bottom 20% D: Scores below the top 80% and above the bottom 6% F: Bottom 6% of scores Scores on the test are normally distributed with a mean of 79.3 and a standard deviation of 8.4. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.
Answer:
You get a D if you have a grade between 66 and 72.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Scores on the test are normally distributed with a mean of 79.3 and a standard deviation of 8.4.
This means that [tex]\mu = 79.3, \sigma = 8.4[/tex]
D: Scores below the top 80% and above the bottom 6%
So between the 6th and the 20th percentile.
6th percentile:
X when Z has a pvalue of 0.06. So X when Z = -1.555.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.555 = \frac{X - 79.3}{8.4}[/tex]
[tex]X - 79.3 = -1.555*8.4[/tex]
[tex]X = 66.2[/tex]
Rounds to 66
20th percentile:
X when Z has a pvalue of 0.2. So X when Z = -0.84.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.84 = \frac{X - 79.3}{8.4}[/tex]
[tex]X - 79.3 = -0.84*8.4[/tex]
[tex]X = 72.2[/tex]
Rounds to 72
You get a D if you have a grade between 66 and 72.
For a cat that weighs 15 pounds, rank the following scale weights from least
accurate to most accurate.
15.10 pounds
13.9 pounds
16.2 pounds
15.01 pounds
Answer:
16.2 pounds (least accurate)
13.9 pounds (2nd least accurate)
15.10 pounds (2nd most accurate)
15.01 pounds (most accurate)
Step-by-step explanation:
I hope this helps :)
Answer:
16.2 pounds
13.9 pounds
15.10 pounds
15.01 pounds
Can someone please help me I’m it’s kinda blurry but you have to zoom in
Answer:
1 is x=53
2 is x=37
3 is x=45
4 is x=180
5 is x=130
6 is x=90
7 is x=15
8 is x=60
9 is x=20
10 is x=140
11 is x=47
12 is x=18
Step-by-step explanation: These can all be solved using vertical angles, complimentary angle theorem, and supplementary angle theorem! Really fancy names to say that opposite angles are equal, vertical angles (like #5). Two angles that add up to 180 degrees forming a straight line, complimentary angles (like in #1). And in a right angle two angles will always add up to 90 degrees (#7 for example). 10 11 and 12 require you to use vertical angles and complimentary angles to solve them.
Which expression is equivalent to x2+7x+12/x2-x-12?
x+3/x-3
x+4/x-4
(x+3)(x+4)/(x-3)(x-4)
(x-3)(x-4)/(x+3)(x+4)
Answer:
the answer is this hope it helps
Answer:
x+4/x-4
Step-by-step explanation:
x2+7x+12/x2-x-12
Factor the expressions that are not already factored.
(x+3)(x+4)/(x-4)(x+3)
Cancel out x+3 in both numerator and denominator.
x+4/x-4
Graph if needed:
Write an
equation and solve.
Ten less than five times a number is 45. the equation is
(x*5)-10=45=equation
im extra so x would be 7
Use the number line to complete the statements.
The opposite of 4 is ____.
(1). -8
(2). -4
(3). 0
(4). 4
The opposite of –8 is _____.
(1). -8
(2). 0
(3). 4
(4). 8
Answer:
(2). -4
(4). 8
Step-by-step explanation:
The opposite of a negative or positive number will always be it's absolute value.
Suppose a video store charges non-members $10 to rent each video. However, a membership costs $21 and members pay $3 to rent each video. For what number of videos is the cost the same?
Answer:
3
Step-by-step explanation:
Non Members pay $10 dollars each video 3 x 10= $30
membership costs $21 + 3 videos $3 each $21 + $9 =$30
Price is the same after 3 videos rented
NOT TOO HARD NEED HELP
Answer:
perimeter = 12x+10 area=8x^2+14x+6
Step-by-step explanation:
A
2x+2+2x+2+4x+3+4x+3
2x+2x+4x+4x+2+2+3+3
4x+4x+4x+2+2+3+3
8x+4x+2+2+3+3
12x+2+2+3+3
12x+4+3+3
12x+7+3
12x+10
B
(2x+2)(4x+3)
8x^2+8x+6x+6
8x^2+14x+6
What 3D solid does this net create
I think it makes a square cuz it do be looking like a square
Answer:
cuboid.
................
mario is saving his money in order to buy a new video game, he decides to save $5 of his allowance every week. the equation he writes to describe the total amount of money he will save each week is shown below.
The temperature changes from 9°F to -5°F. Which of the following expressions model the distance on thermometer between 9°F and -5°F? Choose all the correct answers
A I -5 -9 I
B I 9 -5 I
C I 9- (-5) I
D I -5 (-9) I
E I -9 - (-5) I
Answer:
[tex]d = |- 5- 9|[/tex]
Step-by-step explanation:
Given
[tex]Initial = 9^\circ F[/tex]
[tex]Final = -5^\circ F[/tex]
Required
Determine the difference
Represent this with d.
d is calculated using
[tex]d = |Final - Initial|[/tex]
The equation becomes
[tex]d = |- 5- 9|[/tex]
A and B are independent events, A and C are dependent. P(A|B) = 0.3, P(A|C) = 0.2. Find P(A).
Round your answer to the nearest tenth.
Answer:
P(A) = 0.3
Step-by-step explanation:
independent event:
P(A|B) = P(A) = 0.3
The value of P(A) is equal to 0.3 to the nearest tenth.
Which pair of events are called independent events?When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events. Comparing it with the chain rule will give
[tex]P(A|B) = P(A)\\P(B|A) = P(B)[/tex]
It is showing that whether one occurred or not, the other one doesn't care about it (independence).
Given that A and B are independent events, A and C are dependent. P(A|B) = 0.3,
P(A|C) = 0.2.
We know that for the independent event:
P(A|B) = P(A)
Hence, P(A) = 0.3
The value of P(A) is equal to 0.3 to the nearest tenth.
Learn more about independent variables;
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in the championship game, Momo and Koko scored 23 points combined. Momo and Suzy scored 21 points combined. Koko and Suzy scored 20 points combined. How many points did the three girls score altogether.
Answer:
Step-by-step explanation:
In total, all 6 girls scored 64 points altogether
Hope I answered your question!
Answer:
23+21+20= 64
Step-by-step explanation:
Question
A bag contains 3 pink gumballs, 4 red gumballs, and 2 green gumballs. Find the probability that you do not draw all green
gumballs if there are 3 drawings that occur and the gumballs are replaced after each draw. Round your answer to two
decimal places.
Provide your answer below
Answer:
.47
Step-by-step explanation:
9 gumballs in all
7 of them are not green
'ng' = not green
P(ng,ng,ng) = 7/9 x 7/9 x 7/9 = .47
The probability will be 0.87.
What is mean by Probability?
The term probability refers to the likelihood of an event occurring.
Given that,
Number of Pink gumballs = 3,
Number of Red gumballs = 4,
Number of Green gumballs = 2,
Now,
Total number of gumballs = 3 + 4 + 2 = 9,
Thus, total number of ways of selecting 3 gumball
= 9 x 9 x 9
= 729
Number of Green gumballs = 2
Number of gumballs other than green = 9 - 2 = 7
So, Number of ways to draw 3 gumballs other than green is;
= 7 x 7 x 7
= 243
And, Number of ways to draw one green and two other gumballs in 3 draw = 2 x 7 x 7 + 7 x 2 x 7 + 7 x 7 x 2
= 294
( Since the green gumballs can be drawn in 1st, 2nd, and 3rd draw.)
Thus, The probability of not drawing all 2 green gumballs is;
= 343 + 294 /729
= 637/729
= 0.87
So, The probability will be 0.87.
Learn more about the probability visit:
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Calculate the perimeter of the figure shown above:
a. 25 ft
C. 10 ft
b. 50 ft
d. 60 ft
Answer:
50 ft
Step-by-step explanation:
Every side is 5ft, add up all the sides.
o keep the spectators out of the line of flight at an air show, the ushers arranged the show's seats in the shape of an inverted triangle. Kevin, who loves airplanes, arrived very early and was seated in the front row, which contained one seat. The second row contained three seats, and those filled very quickly. The third row contained five seats, which were given to the next five people who came. The next row contained seven seats. This seating pattern continued all the way to the last row, with each row containing two more seats than the previous row. All 20 rows were filled. How many people attended the air sh
Answer:
400 people attended the air show.
Step-by-step explanation:
Arithmetic sequence:
An arithmetic sequence has the following general equation:
[tex]a_n = a_1 + d(n-1)[/tex]
In which [tex]a_n[/tex] is the nth term, [tex]a_1[/tex] is the first term and d is the common difference between the terms.
The sum of the first n terms of an arithmetic sequence is given by:
[tex]S_n = \frac{n(a_1+a_n)}{2}[/tex]
In this question:
First row 1 seat, second 3 seats, 3rd 5 seats and so on.
So we have the following arithmetic sequence:
{1,3,5,7,9,...}
So [tex]a_1 = 1, d = 9 - 7 = 7 - 5 = ... = 2[/tex]
So
[tex]a_n = 1 + 2(n-1)[/tex]
All 20 rows were filled. How many people attended the air show?
Sum of the 20 terms of the progression. So
[tex]S_{20} = \frac{20(1+a_{20})}{2} = 10(1+a_{20})[/tex]
The 20th term is:
[tex]a_{20} = 1 + 2(20-1) = 1 + 2*19 = 1 + 38 = 39[/tex]
So
[tex]S_{20} = 10(1+a_{20}) = 10(1 + 39) = 10(40) = 400[/tex]
400 people attended the air show.