Answer: 2.99914cm Rounds up to 3
Step-by-step explanation:
9,15,25, Find the 10th term
On solving thr provided question, by help of arithmetic progression, we got to know that a10 = 207
what is arithmetic progression?There are two approaches to define arithmetic progressions (AP):
The difference between any two successive terms in an arithmetic sequence must always be equal, and it is sometimes referred to as a series in which all terms except the first are created by adding a predetermined number to the preceding term.
9,15,25..............
15-9 = 6
25-15 = 10
a4 - 25 = 14 => a4 = 39
a5-39 = 18 => a5 = 57
a6-57 = 22 => a6 79
...
...
...
...
...
a10 - 169 = 38 => a10 = 207
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Help with geometry homework with rectangles. Quadrilateral ABCD is a rectangle. Which of the following must be true? Choose all that apply.
A and C are the two true statements.
1/5b=xy make x the subject
Answer:
x=(1/5b)/y
Step-by-step explanation:
the regression line for the given data is y= 4.379x 4.267. determine the residual of a data point for which x= 12.5 and y= 59, rounding to three decimal places.
The residual of the data point for the given regression line for which x = 12.5 and y = 59 is -0.254.
The residual of a data point is the difference between the observed value of y and the predicted value of y using the regression line. In this case, the observed value of y is 59 and the predicted value of y using the regression line can be found by plugging in the value of x into the equation:
y = 4.379(12.5) + 4.267 = 59.254.
The residual is then calculated as: 59 - 59.254 = -0.254.
Rounding to three decimal places, the residual is -0.254.
Overall, A regression line indicates a linear relationship between the dependent variables on the y-axis and the independent variables on the x-axis. The correlation is established by analyzing the data pattern formed by the variables. The regression line is plotted closest to the data points in a regression graph.
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You won a scholarship in 2018 for $400 and mom made you invest in a bank that pay 15% interest. How much is that money worth this year? show set up and solution
According to the given a scholarship in 2018 for $400 and mom made you invest in a bank that pay 15% interest. the money is worth $418 this year
Given: You won a scholarship in 2018 for $400 and mom made you invest in a bank that pays 15% interest.
To find: How much is that money worth this year?
Solution: We are given the amount and the rate of interest.
So, Principal (P) = $400
Rate of Interest (R) = 15%
= 0.15
Time (T) = (2021-2018)
= 3 years
We know, Simple Interest (SI) = (P×R×T)/100
Substituting the values in above formula,
SI = (400 × 0.15 × 3)/100S
I = $18
Total amount after 3 years = Principal + Simple Interest
= $400 + $18
= $418
Hence, the money is worth $418 this year
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What is the name of the red dot located on the curve of the parabola below?
O A. Center
B. Focus
C. Vertex
D. Directrix
C. Vertex (x,y). The vertex is right in the middle of the quadratic graph.
someone please help I'll give brain list (I'm failing)
Answer:
1) 3rd one down 1 7/12 ( the one you've selected well doneee)
2)pretty sure its also the 3rd one down ( don't come for me if its wrong)
Step-by-step explanation:
4 1/6 = 25/6
5 3/4= 23/4
25/6 x4= 100/24
23/4 x 6 = 138/24
138/24 - 100/24 = 38/24
divide by 2:
19/12= 1 7/12
Please help!! Will give brainiest!1 Im so confused
Answer:
i dont know
Step-by-step explanation:
Maria's book is longer than Brandon's. The difference in the two book lengths is 56
pages. The total amount of pages in both books together is 348. Find the lengths of
Maria's and Brandon's books.
Answer:
Maria's book is 202 pages long, Brandon's book is 146 pages long
Step-by-step explanation:
We can set this up with 2 variables: lets say that Maria's book length is x and Brandon's is y.
We can see that Maria's book is 56 pages longer than Brandon's and can come up with an equation:
x=y+56
We also see that their booklengths add up to 348, and can get:
x+y=348
From here, we solve for x and y. We can use substitution to find y.
x+y=348
(y+56)+y=348
2y=292
y=146
Here we plug in for x:
x=y+56
x=(146)+56
x=202
Therefor we get that Maria's book is 202 pages long, Brandon's book is 146 pages long
Which statement accurately describes the proportions in the tails of a normal distribution?
a. Proportions in both the left-hand and right-hand tails tend to be relatively small.
b. Proportions in both the left-hand and right-hand tails tend to be relatively large.
c. The proportion in the left-hand tail is larger than the proportion in the right-hand tail.
d. The proportion in the right-hand tail is larger than the proportion in the left-hand tail.
a. Proportions in both the left-hand and right-hand tails tend to be relatively small.
The correct answer is: a. Proportions in both the left-hand and right-hand tails tend to be relatively small. This is because a normal distribution is symmetric and bell-shaped, with the majority of the data concentrated around the mean. As a result, the tails of the distribution have fewer data points and smaller proportions compared to the center. This is because a normal distribution is symmetric and bell-shaped, with the majority of the data concentrated around the mean.
So, a. Proportions in both the left-hand and right-hand tails tend to be relatively small.
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A teacher asks students to identity their favorite reality television show. What type of measurement scale do the different television shows make up
The different reality television shows can be categorized under the nominal measurement scale.
The nominal measurement scale is the simplest form of measurement scale that assigns categories or names to different groups without any specific order or hierarchy. In this case, the different reality television shows can be considered as distinct categories. Each show represents a unique entity, and there is no inherent order or ranking among them. Students can simply identify and name their favorite reality television show without any quantitative or qualitative judgment attached to it.
The nominal scale is appropriate in this context because it allows for the identification and differentiation of different reality television shows without imposing any value or level of preference. It treats each show as an individual category, enabling students to express their personal choice without implying any specific relationship or comparison among the shows. Therefore, the teacher can collect and analyze the data based on the frequency or distribution of the different reality television shows without considering any underlying order or preference.
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Type the correct answer in the box. Round your answer to the nearest integer.
B
D
30
35
А
с
In the figure, if m ZABD = 120°, then mZADC =
0.
Answer:
m∠ADC = 132°
Step-by-step explanation:
From the figure attached,
By applying sine rule in ΔABD,
\(\frac{\text{sin}(\angle ABD)}{\text{AD}}=\frac{\text{sin}(\angle ADB)}{AB}\)
\(\frac{\text{sin}(120)}{35}=\frac{\text{sin}(\angle ADB)}{30}\)
sin(∠ADB) = \(\frac{30\text{sin}(120)}{35}\)
= 0.74231
m∠ADB = \(\text{sin}^{-1}(0.74231)\)
= 47.92°
≈ 48°
m∠ADC + m∠ADB = 180° [Linear pair of angles]
m∠ADC + 48° = 180°
m∠ADC = 180° - 48°
m∠ADC = 132°
The likelihood of something occurring is measured in terms of probability, which is based on ______.
The possibility that something will occur, prior measures, and conventional objective measurements all influence the likelihood that something will occur.
What is probability and what types are there in total?
The study of probability is a field of mathematics that determines the probability of an event occurring, which is represented by a number between 1 and 0. When an event has a probability of 1, it can be said to be a certainty. For instance, if the coin lands flat, the likelihood that it will come up "heads or tails" is 1. There are no other possible outcomes. A probability of .5 indicates that there is an equal chance that an event will occur or not.
Probability can be quantitatively represented in the simplest form as follows: the total number of possible outcomes multiplied by the ratio of the number of occurrences of a targeted event divided by the sum of the occurrences and failures of occurrences:
P(a) = P(a)/[P(a) + P(b)]
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Select the correct answer.
A baker uses square prisms for her cake boxes. Due to the number of layers in her cakes, she needs the height of each box to be 5.5 inches. In order to have enough space around the cake for icing and decorations, the volume of each box must be 352 cubic inches. The baker found that the equation below can be used to find the side length, x, of the box to fit her cakes.
Which statement best describes the solutions to this equation?
The solutions are -16 and 16 which are both reasonable side lengths.
The solutions are -16 and 16, but only 16 is a reasonable side length.
The solutions are -8 and 8 which are both reasonable side lengths.
The solutions are -8 and 8, but only 8 is a reasonable side length.
The only reasonable side length is x = 8 is "The solutions are -8 and 8, but only 8 is a reasonable side length."
The equation provided and evaluate the solutions in the context of the problem.
The equation mentioned in the problem is not explicitly provided, so we'll proceed with the given information.
Let's assume the side length of the square prism cake box is x.
The volume of a square prism can be calculated using the formula:
Volume = Length × Width × Height
Since the cake box is a square prism, the length and width are the same, so we can write:
Volume = x × x × 5.5
Given that the volume of each box must be 352 cubic inches, we can set up the equation:
x^2 × 5.5 = 352
Now, let's solve this equation to find the possible solutions for x:
x^2 = 352 / 5.5
x^2 ≈ 64
Taking the square root of both sides, we have:
x ≈ ±8
The solutions to the equation are -8 and 8.
Since we are dealing with a physical length, a negative side length doesn't make sense in this context.
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6x – 2 + 2x = 2(4x – 3) + 4.
Answer:
x = 0
Step-by-step explanation:
6x – 2 + 2x = 2(4x – 3) + 4
Collect like terms.8x - 2 = 8x - 6 + 4
8x - 2 = 8x - 2
8x = 8x + 0
0x = 0
x = 0
Answer:
0=0
Step-by-step explanation:
1. Combine Like Terms
6−2+2=2(4−3)+4
8x-2=2(4x-3)+4
2. Distribute
8x-2=2(4x-3)+4
8x-2=8x-6+4
3. Add the Numbers
8x-2=8x-6+4
8x-2+8x-2
4. Add 2 to both sides of the equation
8x-2=8x-2
8x-2+2=8x-2+2
5. Simplify
8−2+2=2(4−3)+4
8x=8x-2+2
8x=8x-2+2
8x=8x
6. Subtract 8x from both sides of the equation
8x-8x = 8x-8x
Answer= 0=0
Which of the following equations represents a proportional relationship? Select all that apply. A 5 5 = 11 11 B 3 6 = 6 3 C 2x 12 = 3x 18 D 8 15 = 4 30 E 4 6 = 10 15 F 4x 18 = x 18
The equations that represent proportional relationships are:
A. 2x/12 = 3x/18
C. 4/6 = 10/15
E. 5/5 = 11/11
How to Determine a Proportional Relationship Equation?To determine if an equation represents a proportional relationship, ensure each side of the equation gives the same value when simplified. If they do not have the same value, then the equation does not represent a proportional relationship.
A. 2x/12 = x/6
3x/18 = x/6
Therefore, 2x/12 = 3x/18 represents a proportional relationship.
B. 3/6 = 1/2
6/3 = 2
Therefore, 3/6 = 6/3 does not represent a proportional relationship.
C. 4/6 = 2/3
10/15 = 2/3
Therefore, 4/6 = 10/15 represents a proportional relationship.
D. 4x/18 = 2x/9
x/18 = x/18
Therefore, 4x/18 = x/18 does not represent a proportional relationship.
E. 5/5 = 1
11/11 = 1
Therefore, 5/5 = 11/11 represents a proportional relationship.
F. 8/15 = 8/15
4/30 = 2/15
Therefore, 8/15/2/15 does not represent a proportional relationship.
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which of the following sets of correlations correctly shows the highest to lowest degree of relation?
a. -0.91, +0.83, -0.03, -0.10
b. -0.91, +0.83, +0.10, -0.03
c. +0.83, +0.10, -0.91, -0.03
d. +0.83, +0.10, -0.03, -0.93
Option B is the correct answer, The set of correlations which correctly shows the highest to lowest degree of relation is -0.91, +0.83, +0.10, -0.03.
What is correlation?
In statistics, the correlation is a technique used to determine the relationship between the two variables. The correlation's range is from -1 to +1. There are three primary categories of correlation: no correlation, positive correlation, and negative correlation. When the correlation value is zero, there is no association; the correlation value that is closest to zero indicates the weakest degree of relationship.
We must select the set of correlations in the question that accurately displays the highest to the lowest degree of relation.
Option B is the best choice since we must take the absolute value into account in order to determine the relationship's degrees. Here, the absolute values drop from 0.91 to 0.03.
Option A is incorrect since the absolute values decline from 0.91 to 0.03 and then climb to 0.10 in this situation.
Because the absolute values are not listed in decreasing order, Option C is incorrect.
Because the absolute values in this situation are not ordered in decreasing order, Option D is also a incorrect choice.
Therefore, option B, is the correct option.
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Chase ordered a set of beads. He received 4,000 beads in all. 3,000 of the beads were green. What percentage of the beads were green?
75% of the beads are green in color.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Chase ordered a set of beads
He received 4,000 beads in all.
3,000 of the beads were green.
We need to find the percentage of the beads were green of 4000.
x/100×4000=3000
40x=3000
Divide both sides by 40
x=75%
Hence, 75% of the beads are green in color.
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PLEASE HELP
Write an equation to model the data.
x y
−1 2.5
0 5
1 10
2 20
3 40
Answer:
y = 5(2)ˣ
Step-by-step explanation:
numbers are doubled for y as x is changing by 1
it indicates exponential growth with y intercept 5 and rate 2: y = 5(2)ˣ
420 divided by 14 what is the answer
Answer:
30
Step-by-step explanation:
14/420
14 goes into 42 3 times
14 goes into 0 0 times
30
Answer:
420 divided by 14 will give you an answer of 30
The point A(2, 3) is reflected over the point (-1, 2) and its image is point B. What
are the coordinates of point B?
The coordinates of point B are B((1 + √(3))/2, (1 - √(3))/2) or B((1 - √(3))/2, (1 + √(3))/2).
How to Calculate the Coordinate?To reflect point A(2,3) over point (-1,2), we need to find the image of A that is equidistant from (-1,2) as A is. Let's call the image of A point B.
First, we need to find the distance between A and (-1,2):
d(A,(-1,2)) = √((2-(-1))^2 + (3-2)^2) = √(10)
Next, we need to find the point that is the same distance away from (-1,2) as A is:
d(B,(-1,2)) = √(10)
Using the distance formula, we can write the equation:
√((x+1)^2 + (y-2)^2) = √(10)
Squaring both sides and simplifying, we get:
(x+1)^2 + (y-2)^2 = 10
This is the equation of a circle centered at (-1,2) with radius sqrt(10).
Since we know that A is on the line of reflection (the perpendicular bisector of the segment connecting A and (-1,2)), we can find the equation of the line using the midpoint formula:
Midpoint of segment AB = ((2+x)/2, (3+y)/2) = ((2-1)/2, (3+2)/2) = (1.5, 2.5)
Solving for y, we get:
y - 2.5 = (x - 1.5)*(2-2)/(-1-1)
y = -x + 5
Now we need to find the intersection point of the line and the circle. Substituting y = -x + 5 into the equation of the circle, we get:
(x+1)^2 + (-x+3)^2 = 10
Simplifying, we get:
2x^2 - 2x - 2 = 0
Solving for x using the quadratic formula, we get:
x = (-(-2) ± √((-2)^2 - 4(2)(-2))) / (2(2))
x = (1 ± √(3))/2
Substituting each value of x into y = -x + 5, we get:
y = (1 + √(3))/2 or y = (1 - √(3))/2
Therefore, the coordinates of point B are:
B((1 + √(3))/2, (1 - √(3))/2) or B((1 - √(3))/2, (1 + √(3))/2)
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Molly's school is selling tickets to a play. On the first day of ticket sales the school sold 7 senior citizen tickets and 11 student tickets for a total of $125. The school took in $180 on the second day by selling 14 senior citizen tickets and 8 student tickets. What is the price each of one senior citizen ticket and one student ticket?
Answer: the price of one senior citizen ticket is $10, and the price of one student ticket is $5.
Step-by-step explanation:
Let's assume the price of one senior citizen ticket is 's' dollars and the price of one student ticket is 't' dollars.
According to the given information, on the first day, the school sold 7 senior citizen tickets and 11 student tickets, totaling $125. This can be expressed as the equation:
7s + 11t = 125 ---(1)
On the second day, the school sold 14 senior citizen tickets and 8 student tickets, totaling $180. This can be expressed as the equation:
14s + 8t = 180 ---(2)
We now have a system of two equations with two variables. We can solve this system to find the values of 's' and 't'.
Multiplying equation (1) by 8 and equation (2) by 11, we get:
56s + 88t = 1000 ---(3)
154s + 88t = 1980 ---(4)
Subtracting equation (3) from equation (4) eliminates 't':
(154s + 88t) - (56s + 88t) = 1980 - 1000
98s = 980
s = 980 / 98
s = 10
Substituting the value of 's' back into equation (1), we can solve for 't':
7s + 11t = 125
7(10) + 11t = 125
70 + 11t = 125
11t = 125 - 70
11t = 55
t = 55 / 11
t = 5
Therefore, the price of one senior citizen ticket is $10, and the price of one student ticket is $5.
alexis puts dimes and quarters aside for the parking meter. she has a total of 20 coins and they are worth $3.80. how many quarters does alexis have?
Alexis has 12 quarters and 8 dimes.
Let's use d to represent the number of dimes and q to represent the number of quarters. We know that Alexis has a total of 20 coins, so d + q = 20.
We also know that the value of these coins is $3.80. Since dimes are worth $0.10 and quarters are worth $0.25, we can write an equation for the total value in cents:
10d + 25q = 380
To make things easier, let's divide both sides of the equation by 5:
2d + 5q = 76
Now we can use the first equation to solve for d in terms of q:
d + q = 20
d = 20 - q
Substituting this into the second equation gives:
2(20 - q) + 5q = 76
Expanding the parentheses and simplifying, we get:
40 - 2q + 5q = 76
3q = 36
q = 12
Therefore, Alexis has 12 quarters. We can check this by plugging q back into the first equation to find that she has 8 dimes as well:
d + q = 20
d + 12 = 20
d = 8
The total value of 12 quarters and 8 dimes is:
12 quarters x $0.25 per quarter + 8 dimes x $0.10 per dime = $3.00 + $0.80 = $3.80
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Laura borrowed a total of $18,000 from two different banks to start a business. One bank charged the equivalent of 6% simple
Interest, and the other charged 7.5% interest. If the total interest after 3 years was $3330, determine the amount borrowed from
each bank.
Part: 0/4
Part 1 of 4
Let x represent the principal on the business loan at 6%.
Then,
is the remaining amount borrowed at 7.5%.
Step-by-step explanation:
Let x be the amount invested at 6% so that 18000-x is the amount invested at 7.5% both in dollars.
The total interest in 3 years is $3330 so we can write: 0.06x(3)+0.075(18000-x)(3)=3330
Solve for x:
0.06x(3)+0.075(18000−x)(3)=3330
Step 1: Simplify both sides of the equation.
0.06x(3)+0.075(18000−x)(3)=3330
0.06x(3)+−0.225x+4050=3330(Distribute)
0.18x+−0.225x+4050=3330
(0.18x+−0.225x)+(4050)=3330(Combine Like Terms)
−0.045x+4050=3330
−0.045x+4050=3330
Step 2: Subtract 4050 from both sides.
−0.045x+4050−4050=3330−4050
−0.045x=−720
Step 3: Divide both sides by -0.045.
−0.045x/−0.045=−720/−0.045
x=16000
x=16000
So, the amounts borrowed are:
Bank at 6% = 16000
Bank at 7.5% = 2000
Consider a fractal line with fractal dimension D. The mean-square distance between monomers u and v along this line is ⟨(R(u)−R(v))2⟩=b2(v−u)2/D. Calculate the mean-square end-to-end distance R2 and radius of gyration Rg2 for this fractal line. Determine the ratio R2/Rg2 symbolically and then calculate this ratio for fractal dimensions D=1,1.7 and 2 .
The mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).
The mean-square end-to-end distance for the fractal line is as follows.⟨R2⟩ = ⟨(R(u)- R(v))^2⟩ for u = 0 and v = L where L is the length of the line.⟨R2⟩ = b²/L^2.D.L = b².L^(1-D).
Thus, the mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).
The radius of gyration Rg is defined as follows.
Rg² = (1/N)∑_(i=1)^N▒〖(R(i)-R(mean))〗²where N is the number of monomers in the fractal line and R(i) is the position vector of the ith monomer.
R(mean) is the mean position vector of all monomers.
Since the fractal dimension is D, the number of monomers varies with the length of the line as follows.N ~ L^(D).
Therefore, the radius of gyration for the fractal line is Rg² = (1/L^D)∫_0^L▒〖(b/v^(1-D))^2 v dv〗 = b²/L^2.D(1-D). Thus, Rg² = b².L^(2-D).
The ratio R²/Rg² is given by R²/Rg² = L^(D-2).
When D = 1, R²/Rg² = 1/L. When D = 1.7, R²/Rg² = 1/L^0.7. When D = 2, R²/Rg² = 1/L.
This provides information on mean-square end-to-end distance and radius of gyration for fractal line with a given fractal dimension.
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5.
parallelogram with an angle of 45°. width 22cm and 10cm. what is the area?
Answer:
To find the area of a parallelogram, we need to multiply the base by the height.In this case, we have a parallelogram with a 45-degree angle, a width of 22 cm, and a height of 10 cm.Since the opposite sides of a parallelogram are parallel, we can use the height as one of the sides and the width as the base.To find the other side (which is also the height), we need to use the fact that the opposite sides of a parallelogram are equal in length. We can use the Pythagorean theorem to find the length of the other side:a^2 + b^2 = c^2where a = b = 10 cm (the height) and c is the length of the other side.c^2 = 10^2 + 10^2c^2 = 200c = sqrt(200) ≈ 14.14 cmNow we can find the area:Area = base x heightArea = 22 cm x 10 cmArea = 220 cm^2Therefore, the area of the parallelogram is 220 square centimeters.
In 2012, the population of a city was 5.04 million. The exponential growth rate was 1.65% per year.
a) Find the exponential growth function.
b) Estimate the population of the city in 2018.
c) When will the population of the city be 7 million?
d) Find the doubling time.
Answer: It will take 24 years to have 7 million.
Step-by-step explanation:
1.65% of 5.04 million is 83,160.
2018 is 6 years from 2012.
83,160 x 6 = 498,960.
498,960k + 5,040,000mil =5,538,960mil. still not quite 7 million.
498,960k x 4 = 1,995,840mil.
1,995,840mil + 5,040,000mil = 7,035,840mil.
It will take the city 24 years to have 7 million.
PLease help ................................................................
Answer:
if it is an a or b B is the best answer but if it a true of false. the answer is true
Step-by-step explanation:
An angle measures 27.2° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
Step-by-step explanation:
Supplementary angles have a sum of 180 degrees.
a+a-27.2=180
2a-27.2=180
2a=207.2
a=103.6, and since b=a-27.2
b=76.4
So one angle is 103.6 degrees and the other is 76.4 degrees.
Anyone know what the answer is?