Answer:
>
Step-by-step explanation:
open means its not equal to and it pointing to the right so your inenquality has to point to the right
What is the common ratio between successive terms in the sequence 1.5, 1.2, 0.96, 0.768
Answer:
To determine the common ratio of a geometric sequence. You just need to divide any two consecutive terms on it. You can see below that all of them have the same quotient.
1.2 / 1.5 = 0.8
0.96 / 1.2 = 0.8
0.768 / 0.96 = 0.8
.
Decimal form = 0.8
Fraction form = 4/5
.
Check:
1.5 x 0.8 = 1.2
1.5 x 4/5 = 6/5 = 1 1/5 = 1.2
Therefore, the common ratio between successive terms in the sequence? 1.5, 1.2, 0.96, 0.768 is 0.8 or 4/5.
Answer:
It Is 0.8
Step-by-step explanation:
I took the quiz
PLEASE HELP! 20 Points!!
Shawn tried to define a reflection.
• For any point R on the line of reflection L, the image R’ is at the same point as R. • For any point P not on the line of reflection L, the image P’ is on the other side of L such that P and P’ are the same distance from L.
What mistake did Shawn make in his definition of a reflection?
Choose 1 answer from the options below.
The mistake that Shawn made in his definition of a reflection is that D. Shawn didn't make a mistake.
What's a reflection?It should be noted that reflection simply means ten transformation of the shape of an object.
In this case, for any point R on the line of reflection L, the image R’ is at the same point as R. Furthermore, for any point P not on the line of reflection L, the image P’ is on the other side of L such that P and P’ are the same distance from L.
Therefore, Shawn is right as no mistake was made.
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Answer:
PP' must be perpendicular to the line of reflection. Whatever the distance is between P and L, there are infinitely many points on the other side of L that are the same distance from L.
Step-by-step explanation:
10. Given that the areas of the two rectangles are equal, calculate the
value of x. What is the area of each rectangle?
Answer:1251231
Step-by-step explanation:
Z varies jointly with x, and y, and z=7 when x= 2, y= 2
pleasee I need an answer now!!
Answer:
(7/4)(2)(2)=7
Step-by-step explanation:
Answer:
z = 1.75xy
Step-by-step explanation:
Given z varies jointly as x and y then the equation relating them is
z = kxy ← k is the constant of variation
To find k use the condition z = 7 when x = 2 and y = 2, then
7 = k × 2 × 2 = 4k ( divide both sides by 4 )
1.75 = k
z = 1.75xy ← equation of variation
describe a possible source of error that is not included in the margin of error for the 99% confidence interval in exercise 35.
It is important to ensure that the sample selected for a study is representative of the entire population in order to minimize sampling bias and increase the accuracy of the results.
A possible source of error that is not included in the margin of error for the 99% confidence interval in exercise 35 could be sampling bias. Sampling bias occurs when the sample selected for the study is not representative of the entire population. This can happen if the sample is not selected randomly or if certain groups are underrepresented or overrepresented in the sample. This type of error can lead to inaccurate results and conclusions, and it is not accounted for in the margin of error or confidence interval. Therefore, it is important to ensure that the sample selected for a study is representative of the entire population in order to minimize sampling bias and increase the accuracy of the results.
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Mateo made 36 cookies with nuts. He also made 12 fewer cookies without nuts.
How many cookies did Mateo make in all?
Plzzz hurry
Find all values of x such that 6=35/x -49/x^2
Factor by grouping: 16x³ +28x² - 28x - 49 = 0
A) (4x²-7) (4x + 7) = 0
B (4x² + 7) (4x + 7) = 0
C(4x² + 7) (4x - 7) = 0
D (4x² - 7) (4x - 7) = 0
Factor by grouping: 16x³ +28x² - 28x - 49 = 0 is (4x² - 7) (4x - 7) = 0
What is factoring by grouping?Large polynomials can be divided into groups based on a common factor. As a result, we may factor each distinct group and then merge like words. We refer to this as factoring by grouping.
We have the equation,
16x³ +28x² - 28x - 49 = 0
In order to solve the equation by using factor by grouping:
We find common terms in between,
So, we arrange the terms,
16x³ +28x² - 28x - 49 = 0
4x² (4x - 7) -7 (4x - 7) = 0
Here, we have common term (4x-7).
Factor out the common binomial.
(4x² - 7) (4x - 7) = 0
Therefore, (4x² - 7) (4x - 7) = 0 is the factor.
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help me !!!!
For the following equation, find a solution for the variable. Show all of your work and use complete sentences to explain the solving process that you used to find a solution for the equation. Be sure to include at least two terms from the word bank.
The solution to the equation, 4 + x = 7, is given as x = 3.
How to Find the Solution for the Variable of an Equation?The solution for the variable of an equation is the value of the variable, which can be determined by applying the necessary properties of equality in order to isolate the variable to one side of the equation.
Given the equation, 4 + x = 7, the variable we want to solve for is x. Follow the steps below to find x.
4 + x = 7 [given]
Subtract 4 from both sides:
4 + x - 4 = 7 - 4 [subtraction property of equality]
x = 3
Therefore, the solution is, x = 3.
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What is the relationship between a 90% confidence interval around a mean and a 95% confidence interval around a mean?.
You have a 5% probability of being incorrect with a 95% confidence interval. You have a 10% probability of being incorrect with a 90% confidence interval.
What is the mean's 90% confidence interval?We can be 90% certain that the interval contains the population mean,, if the level of confidence is 90%. The associated z-scores are 1.645. We can be 95% certain that the interval contains the population mean, if the level of confidence is 95%.
What happens when two confidence intervals overlap?In other words, the difference in effect estimates between the two subgroups is deemed to be statistically unimportant if the confidence intervals overlap.
You have a 5% probability of being incorrect with a 95% confidence interval. You have a 10% probability of being incorrect with a 90% confidence interval. A 95% confidence interval is narrower than a 99% confidence interval.
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Combine Like Terms : 12x^4-2x+6x^4-10x
what is the answer to number 2 at the top?
The equation of the transformed exponential function g(x) is g(x) = 2^-x - 1
Writing an exponential function for the graph of g(x)From the question, we have the following parameters that can be used in our computation:
Parent function: y = 2^x
The graph of the transformed exponential function g(x) passes through the points (-2,3), (-1,1), (0,0), (1,-0.5) and (2, -0.75)
So, we have the following transformation steps:
1st Transformation:
Reflect y = 2^x across the y-axis
So, we have
y = 2^-x
2nd Transformation:
Translate y = 2^-x down by 1 unit
So, we have
y = 2^-x - 1
This means that
g(x) = 2^-x - 1
Hence, the equation of the function g(x) is g(x) = 2^-x - 1
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A triangle has two sides of lengths 6 and 9. What value could the length of
the third side be? Check all that apply.
OA. 7
B. 2
C. 4
OD. 15
□E. 10
O F. 12
SUBMIT
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Given that two sides have lengths 6 and 9, we can analyze the possibilities:
6 + 9 > x
x > 15 - The sum of the two known sides is greater than any possible third side.
6 + x > 9
x > 3 - The length of the unknown side must be greater than the difference between the two known sides.
9 + x > 6
x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.
Based on the analysis, the possible values for the length of the third side are:
A. 7
C. 4
□E. 10
O F. 12
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
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in the fig given below .AB║DC find x
helpplzzz
Answer:
x = 150°
Step-by-step explanation:
The given parameters are;
AB ║ DC
∠BAE = 105°
∠AEC = 25°
We construct a line CF from C parallel to the line AE as presented in the included diagram created with Microsoft Visio
We have;
∠DCF ≅ ∠BAE = 105° by similar angles formed by two pairs of parallel lines
∠AEC = ∠ECF = 25° by alternate interior angles formed by two parallel lines and a common transversal
x = 125° + 25° = 150° By angle addition postulate
x = 150°.
a random sample of size 28 is collected from a normal population with unknown variance. the sample has the mean of 108.127 and the standard deviation of 30.4888. construct a 98% confidence interval for a population mean. group of answer choices (105.546, 110.707) (94.725, 121.529) (93.878, 122.376) (105.235, 111.018)
The correct confidence interval for a population mean at a 98% confidence level is approximately (94.685, 121.569). Therefore, the correct choice is (94.725, 121.529).
To construct a confidence interval for a population mean, we can use the formula:
Confidence Interval = sample mean ± (critical value * standard error)
First, we need to determine the critical value for a 98% confidence level. Since the sample size is large (n = 28), we can use the z-table to find the critical value. For a 98% confidence level, the critical value is approximately 2.33.
Next, we calculate the standard error using the formula:
Standard Error = sample standard deviation / √(sample size)
In this case, the sample standard deviation is 30.4888 and the sample size is 28. Therefore:
Standard Error = 30.4888 / √(28) ≈ 5.769
Now we can construct the confidence interval:
Confidence Interval = 108.127 ± (2.33 * 5.769) = (108.127 ± 13.442) = (94.685, 121.569)
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Steven’ new cell phone plan charge a flat monthly fee of $24. The plan allow an unlimited number of text meage, but each minute (m) ued for phone call cot $0. 15. Which equation mot accurately repreent the monthly cot (c) of Steven’ phone bill baed on how many minute talked?
As a new cell phone plan charges a flat monthly fee of $24 and allows for an unlimited number of text messages, but charges $0.15 per minute (m) used for phone calls, the equation that will represent the problem is C=24+0.15m.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Here,
Let m be the minutes talked on phone,
C=24+0.15m
The problem is represented by the equation C=24+0.15m since the new cell phone plan charges a fixed monthly fee of $24 and permits unlimited text messages, but each minute (m) utilized for phone calls costs $0. 15.
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She needs to unpack 38 boxes. if each box takes the same amount of time. and she can unpack 4 boxes in 3 hours, how long will it take to unpack 38 boxes
Answer:
It will take 28.5 hours
Step-by-step explanation:
Make the boxes amount compatible to divide with 38
4/2=2
3/2=1.5
When you divide one part of the boxes and hours, you divide the other half too. So you divide 3 by 2, which is 1.5
Then you divide 38 by 2 which is 19
Then 19 times 1.5 to find out how many hours, which gives you 28.5
A large sphere at an amusement park is 165 feet in diameter. Which of the following is closest to the volume, in cubic feet, of the sphere?
261,000
261,000
2,351,000
2,351,000
18,810,000
18,810,000
41,210,000
Answer:
2,351,000
Step-by-step explanation:
closest to the volume in cubic feet
please help on 30–31
Step-by-step explanation:
30-option c
because only crows r black in appearance
31-option d
thats the option which represents the question asked
What is the value of loge 36?
O
-6
-2
2
6
Answer:
B) -2
Step-by-step explanation:
\(log_{6} \frac{1}{36}\) ORIGINAL
\(log_{6} 6^{-2}\) REWRITE 1/36
-2 LOG RULE - 6's CANCEL
Hope this helsp!
A bird sanctuary initially contains 1500 birds. Each year, 15% of the birds fly away, so the sanctuary is restocked with 60 new birds. Write a recursive rule for the number of birds an of birds at the start of the nth year A1=____. An=____
Answer:
\(A_1 = 1500\\A_n = A_{n-1} - 15\%\cdot A_{n-1} + 60\)
Step-by-step explanation:
We just put the task description into the answer :)
The last line can also be shortened to:
\(A_n = 85\%\cdot A_{n-1} + 60\)
or
\(A_n = 0.85A_{n-1} + 60\)
My question is in the attachment.
Answer: The answer is c
Step-by-step explanation:
cause common sense
Can any decimal thta end with a digit in the hundreth place can be written a a fraction with the denominator that i diviible by both 2 and 5?
It is true that any decimal with a thousandths place digit may always be expressed as a fraction with a denominator that is divisible by both 2 and 5.
A fraction is used to denote a portion or component of a whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.To convert a decimal to a fraction, you can place the decimal over a power of 10 that makes the decimal equal to the fraction. For example, to convert 0.25 to a fraction, you can place it over 100:
\(0.25=\frac{25}{100}\)
Since both 2 and 5 divide evenly into 100, the denominator of the fraction is divisible by both 2 and 5.
This same process can be applied to any decimal that ends with a digit in the hundredth place to convert it to a fraction with a denominator that is divisible by both 2 and 5.
Therefore, it's true any decimal that ends with a digit in the hundredth place can be written as a fraction with a denominator that is divisible by both 2 and 5.
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Which of the following statements about the box plot is true? Min: 4 Max: 16 First Quartile:8 Third Quartile:16
Answer:
Third Quartile: 16
Step-by-step explanation:
In the box plot given, the five-number summary displayed are:
1. Min = 2
2. First quartile = 4
3. Median = 8
4. Third Quartile = 16
5. Max = 20
Therefore, the statement that is true about the box plot is "Third Quartile: 16". All other statements regarding the box plot are incorrect and untrue.
3. The system of equations for two liquid surge tanks in series is
A₁ dh'₁/dt = q'ᵢ - 1/R₁ h'₁, q'₁ = 1/R₁ h'₁
A₂ dh'₂/dt = 1/R₁ h'₁ - 1/R₂ h'₂ q'₂ = 1/R₂ h'₂
Using state-space notation, determine the matrices A,B,C, and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ , and the output variable is the flow rate deviation, q'₂.
The surge tank is a vital component of a system in which the flow rate fluctuates significantly. The flow rate entering the tank varies significantly, causing the fluid level in the tank to fluctuate as a result of the compressibility of the liquid. The surge tank is utilized to reduce pressure variations generated by a rapidly fluctspace uating pump flow rate. To determine the matrices A,B,C, and D using state-space notation, here are the steps:State representation is given by:dx/dt = Ax + Bu; y = Cx + DuWhere: x represents the state variablesA represents the state matrixB represents the input matrixC represents the output matrixD represents the direct transmission matrixThe equation can be written asA = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0Thus, the matrices A,B,C and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ, and the output variable is the flow rate deviation, q'₂ are given by A = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0.Hence, the required matrices are A = [ -1/R₁ 0; 1/R₁ -1/R₂], B = [1/A₁; 0], C = [0 1/R₂], and D = 0 using state-space notation for the given system of equations for two liquid surge tanks.
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Pls Help!!
What is the slope of g(x) = 4x +3
Answer:
4
Step-by-step explanation:
Hope this helps. Please give brainliest.
For each angle θ , find the values of cosθ and sinθ . Round your answers to the nearest hundredth. 90°
Use a calculator.
\(\cos \theta=\cos 90^{\circ}=0.00\\\\\sin \theta=\sin 90^{\circ}=1.00\)
Wayne earns 7%
simple interest for 5
years on $3500. What
is the total amount in
the account?
Answer:
49
Step-by-step explanation:
3500 divided by 5 equals 700
700 times 7% equals 49
What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3,0)?
The equation of the parabola that intersects the x-axis at points (-1, 0) and (3,0) is y = 0.
Given that a parabola intersects the x-axis at points (-1, 0) and (3,0).We know that, when a parabola intersects the x-axis, the y-coordinate of the point on the parabola is 0. Therefore, the two x-intercepts tell us two points that are on the parabola.Thus the vertex is given by:Vertex is the midpoint of these x-intercepts=(x_1+x_2)/2=(-1+3)/2=1The vertex is the point (1,0).Since the vertex is at (1,0) and the parabola intersects the x-axis at (-1,0) and (3,0), the axis of symmetry is the vertical line passing through the vertex, which is x=1.We also know that the parabola opens upwards because it intersects the x-axis at two points.To find the equation of the parabola, we can use the vertex form:y = a(x - h)^2 + kwhere (h, k) is the vertex and a is a constant that determines how quickly the parabola opens up or down.We have h=1 and k=0.Substituting in the x and y values of one of the x-intercepts, we get:0 = a(-1 - 1)^2 + 0Simplifying, we get:4a = 0a = 0Substituting in the x and y values of the other x-intercept, we get:0 = a(3 - 1)^2 + 0Simplifying, we get:4a = 0a = 0Since a = 0, the equation of the parabola is:y = 0(x - 1)^2 + 0Simplifying, we get:y = 0Hence the equation of the parabola that intersects the x-axis at points (-1, 0) and (3,0) is y = 0.
Learn more about Parabola here,The vertex of a parabola is (-2,6), and its focus is (-5,6).
What is the standard form of the parabola?
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Find the mean median and mode for 44, 4, 27, 5
Answer:
Mean: 20
Median: 16
Mode: No mode
Step-by-step explanation:
For the mean:
44 + 4 + 27 + 5 = 80
80/4 = 20
For the median:
5 + 27 = 32
32/2 = 16
For the mode:
None of the numbers are repeated.