The answer choice which correctly describes the given sequence as required to be determined is; Start with 2 and multiply by 2 repeatedly.
Which answer choice correctly describes the sequence?It follows from the task content that the answer choice which correctly describes the sequence be determined.
By observation, the first term is 2.
Also, the ratio of each pair of successive terms is 2 as evident in;
4 / 2 = 8 / 4 = 16 / 8 = 2.
On this note, it follows that the correct description of the sequence is; Start with 2 and multiply by 2 repeatedly.
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40. Write an expression to represent the area of the flag as the sum of the areas of each section.
? x+?\(1 {1}/{2}+3(x+7)
The expression to represent the area of the flag as a sum of areas of each section is 2*x + 2(\(1\frac{1}{2}\) ) + 3*(x + \(1\frac{1}{2}\) ) .
In the question ,
a flag is given that have three colors ,
we have to find an expression for the area of the flag .
For the Green Part ;
the length is 2 units ,
and the width is x units .
So ,the area of the green part is = 2*x .
For the Orange Part ;
the length is 2 units ,
and the width of the orange part is = \(1\frac{1}{2}\) units ,
So , the area of the orange part is = 2(\(1\frac{1}{2}\) ) units .
For the Purple part ;
the length is = 3 units ,
and the width is = (x + \(1\frac{1}{2}\) ) units .
So , the area of the purple part is = 3*(x + \(1\frac{1}{2}\) ) units .
So the area of the flag is = area of ( Green part + Orange Part + Purple Part) .
Substituting the values ,
we get ,
Area = 2*x + 2(\(1\frac{1}{2}\) ) + 3*(x + \(1\frac{1}{2}\) ) .
Therefore , the expression for the area is 2*x + 2(\(1\frac{1}{2}\) ) + 3*(x + \(1\frac{1}{2}\) ) .
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Which fraction is larger: -3/4 or –2/4
Answer:3/4
Step-by-step explanation: If you weigh a brick at 2/4 lbs, it will weigh less than a brick that weighs 3/4
What is this expression in simplified form?
2√2x7√18
Step-by-step explanation:
Greetings !
Given expression
\(2 \sqrt{2} \times 7 \sqrt{18} \)
Apply radical rule
\( \sqrt{a} \sqrt{b} = \sqrt{ab} \)
where
\(a \geqslant 0,b \geqslant 0\)
Thus
\( \sqrt{2} \sqrt{18} = \sqrt{2 \times 18} \)
Multiply the numbers 2.18=36
\( \sqrt{36} \)
\( = 2 \sqrt{36} \times 7 \\ \sqrt{36} = 6\)
simplify
\(2 \times 6 \times 7 =84\)
Hope it helps!
PLEASE HELP THIS IS WORTH 20 POINTS PLUS ILL GIVE BRAINIEST
Which of the following statements best describes a theorem?
A. A theorem cannot be proven.
B. A theorem can be false.
C. A theorem is always true.
D. A theorem is never true.
Answer:
a
Step-by-step explanation:
A theorem cannot be proven.
LCD of (3x/x+1)+(x+1/2x)+(5/x)
Answer:
2x (X+1)
Step-by-step explanation:
Are the events “winning” and “playing at home” independent? Explain why or why not.Are the events “losing” and “playing away” independent? Explain why or why not.Answer:
a) In general, if two events, A and B, are independent,
\(\begin{gathered} A,B\rightarrow\text{ independent events} \\ \Rightarrow P(A\cap B)=P(A)*P(B) \end{gathered}\)Therefore, in our case,
\(\begin{gathered} P(Winning\cap Home)=0.2 \\ and \\ P(Winning)*P(Home)=0.25*0.8=0.2 \end{gathered}\)Thus, the two events are independent.b) Similarly,
\(\begin{gathered} P(losing\cap away)=0.15 \\ and \\ P(losing)P(away)=0.75*0.20=0.15 \end{gathered}\)The two events are independent.Furthermore, the intersection of two independent events is different than the empty set.
Use the parallelogram to find m
m
Using the parallelogram law to find m, the value of m is 50°.
What is the parallelogram law?The parallelogram law states that the sum of the squares for a parallelogram's four sides is equal to the sum of the squares for its two diagonals.
The parallelogram must have equal opposed sides in Euclidean geometry.
If ABCD is a parallelogram, then AB = DC and AD = BC, the parallelogram law is stated as:
2(AB)² + 2 (BC)² = (AC)² + (BD)²
If the parallelogram is a rectangle, the parallelogram law is stated as:
2(AB)² + 2 (BC)² = 2(AC)²
The value of the unknown angles in the parallelogram are as follows:
CED = 180 - (60 + 33 + 37)
CED = 50°
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Plz answer in 5 minutes
Answer: 750
Step-by-step explanation:
multiply 75 x 100 you will get 7500 than divide by 10
Simplify the expression to a polynomial in standard form:
(3x + 1)(2x2 + 9x + 6)
Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
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What graph would best display the data shown in the frequency table?
A. line plot
B. vertex-edge graph
C. histogram
D. stem-and-leaf graph
Answer:
histogram
Step-by-step explanation:
6x^2 + x − 1
quadratic monomial
quadratic trinomial
cubic trinomial
quadratic binomial
Answer:
The expression 6x^2 + x − 1 is a quadratic trinomial.
Step-by-step explanation:
Evaluate a^4 - 6b + 3b ÷ ac for a=-2, b=6, c=3
Answer:
-47
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
a⁴ - 6b + 3b ÷ ac
a = -2
b = 6
c = 3
Step 2: Evaluate
Substitute in variables: (-2)⁴ - 6(6) + 3(6) ÷ (-2)(3)Exponents: 16 - 6(6) + 3(6) ÷ (-2)(3)Multiply: 16 - 36 + 18 ÷ (-2)(3)Divide: 16 - 36 - 9(3)Multiply: 16 - 36 - 27Subtract: -47find the value of x and the measure of angle axc
Answer:
x = 4
m<AXC = 150
Step-by-step explanation:
m<1 + m<2 = m<AXC
102 + 10x + 8 = 6(6x + 1)
10x + 110 = 36x + 6
26x = 104
x = 4
m<AXC = 6(6x + 1)
m<AXC = 6(24 + 1)
m<AXC = 150
URGENT?!?!!!!!!
What is the missing reason in step 5
A. Corresponding parts of congruent triangles are congruent
B. Corresponding parts of similar triangles are congruent
C. Diagonals of a kite are congruent
D. Adjacent sides of a kite are congruent
A group of five students have a mean test score of "34.2." Another student has a score of 50. What is the mean average of all "six" students?
Answer:
The mean average of all "six" students is 36.83.
Step-by-step explanation:
Mean:
The mean is the sum of all scores divided by the number of scores.
A group of five students have a mean test score of "34.2." Another student has a score of 50.
This means that the sum is given by:
\(S = 5*34.2 + 50 = 171 + 50 = 221\)
What is the mean average of all "six" students?
Sum of 6 students is 221. So
\(M = \frac{221}{6} = 36.83\)
The mean average of all "six" students is 36.83.
Spooky Story with figurative language, it needs to have what figurative language you used and the words, and the pov and the end
Answer:
THIS IS NOT MATHEMATICS!!!!!
Step-by-step explanation:
i don’t understand this , what’s the answer?
WS SAMPLE
Find the area of each sector. Round your answers to the nearest tenth.
13)
60° 10 in
Area of sector would be,
⇒ Area of sector = 102.6 feet squared
We have to given that,
Radius of circle = 14 ft
Angle θ = 60°
Now, We know that,
Area of sector = [θ/360]πr²
Where, r is radius of circle.
Hence, We can substitute all the values, we get;
Area of sector = [θ/360]πr²
Area of sector = [60/360](22/7)(14)²
Area of sector = [1/6][22/7][196]
Area of sector = 102.6 feet squared
Thus, Area of sector would be,
⇒ Area of sector = 102.6 feet squared
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Find the perimeter with the given vertices. Round your answer to the nearest hundredth.
Notice that we have the following measures for some sides of the figure:
Now, notice the right triangle that we get from the line that passes through A and B, it has sides 2 and 4,then we can find the missing side using the pythagorean theorem:
\(\begin{gathered} c^2=(4)^2+(2)^2=16+4=20 \\ \Rightarrow c=\sqrt[]{20}=\sqrt[]{4\cdot5}=2\cdot\sqrt[]{5} \\ c=2\sqrt[]{5} \end{gathered}\)now that we have that c = 2*sqrt(5), we can find the perimeter:
\(\begin{gathered} P=2+2+2+2+2\sqrt[]{5}+2\sqrt[]{5} \\ \Rightarrow P=8+4\sqrt[]{5}=16.9 \\ P=16.9 \end{gathered}\)therefore, the perimeter of the figure is P = 16.9
Which of the following is the equation for the line of symmetry in this figure?
Can someone help please!
Answer:
X=3
Step-by-step explanation:
3 is in the middle of the figure.
I hope this helps!
Solve the equation.
\(\sqrt{y^{2}-20+100 } =y-10\)
Answer:
No solution.
Step-by-step explanation:
So lets solve the square root.
Sqrt(y^2 - 20 + 100) = y - 10
Sqrt(y^2 + 80 = y - 10)
Solve time.
y^2 + 80 = y - 10 (We are squaring them)
y^2 + 80 = y^2 - 20y + 100
y^2 + 80 - y^2 = y^2 - 20y + 100 - y^2 (Subtract y^2 from both sides)
80 = -20y + 100
Flip it
-20y + 100 = 80
-20y + 100 - 100 = 80 - 100 (Subtract 100 from both sides)
-20y = -20
Now divide both sides by -20
-20y/-20 = -20/-20
y = 1
All you would do is plug in the values and you get...
\(9 \neq -9\)
This is false.
A cyclist rides her bike at a speed of 12 miles per hour. What is this speed in kilometers per hour? How many kilometers will the cyclist travel in 5 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
PLS HELP
Answer:
answers below :)
Step-by-step explanation:
Hi there!
with a ratio of 1:1.6, we can find these answers.
1. 19.2 km, multiply 12 by 1.6
2. 96. km, multiply 12 by 6 to find the total amount of miles traveled, then
multiply 60 by 1.6 to get 96.
I hope this helps!
The general equation for depreciation is given by y = A(1 – r)t, where y = current value,
A = original cost, r = rate of depreciation, and t = time, in years.
The original value of a car is $24,000. It depreciates 15% annually. What is its value in 4 years?
Using the general equation for depreciation which is y = A(1 – r)^t, The value of the car in 4 years is $12528.15
How to find the value of the car in 4 yearsThe value of the car is solved by using the formula for depreciation which is y = A(1 – r)t
definition of variables
where
y = current value, = ?
A = original cost, = $24,000
r = rate of depreciation, = 15% and
t = time, in years. = 4 years
substituting the variables
current value, y = A(1 – r)t
current value, y = 24000 * (1 - 0.15)⁴
current value, y = 12528.15
the depreciation is $12528.15
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1. UV = 8 and WX = 5
TU=
WU=
TX=
TV=
All sides of a rhombus have equal measures, so TU = 8. Since a rhombus is a parallelogram, and the diagonals of a parallelogram bisect each other, WU = 10. The diagonals of a rhombus are also perpendicular, meaning they form right angles. Using the Pythagorean theorem, you can find the length of TX. (TX)^2 + (WX)^2 = (WT)^2. Substituting in known values, (TX)^2 + 25 = 64. Solving gives you TX = the square root of 39. TV is double the length of TX, so TV = 2 times the square root of 39.
The sum of three numbers is 97. The third number is 9 less than the first. The second number is 2 times the third. What are the numbers
Answer:
Step-by-step explanation:
x + y + z = 97 eq1
x - z = 9 eq2
y = 2z eq3
Since y is already defined in eq3, we can substitute eq3 into eq1.
x + 2z + z = 97
x + 3z = 97 new eq1
Now, we have only 2 equations to work with that have two variables.
x + 3z = 97 new eq1
x - z = 9 eq2
Subtract eq2 from new eq1 to eliminate the x terms.
4z = 88
z = 22
Next, substitute this value of z into eq3 to solve for y.
y = 2(22)
y = 44
Finally, we can substitute the values of y and z into eq1 to solve for x.
x = 97 - 44 - 22
x = 31
The three numbers are 22, 31, and 44.
each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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the volume of a pyramid is given by the formula V=1/, where B is the area of the base and h is the height?
Answer:
Step-by-step explanation:
The volume of this pyramid in cubic inches is 16.
Given that,
The base and height is 8 and 6.
Based on the above information, the calculation is as follows:
The volume is
= 16
The function f(x) = 1.85x2 models the cost of a square carpet, where x is the length in feet. Find the average rate of change for f, to the nearest tenth, over the interval 10 ≤ x ≤ 20.
To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.
The function value at x = 10 is:
f(10) = 1.85(10)^2 = 185
The function value at x = 20 is:
f(20) = 1.85(20)^2 = 740
The length of the interval is:
20 - 10 = 10
So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:
(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5
Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.