Answer:
See below
Step-by-step explanation:
From the table:
a) roller skating is 54 percent.....slides is only 46 percent
b) 8 th graders who want water slide = .14 / ( .14 + .06) = 70 percent
c) yes higher grade, higher want water slide
d) water slides ( see answer c )
Audrey is going to invest in an account paying an interest rate of 5.7% compounded daily. How much would Audrey need to invest, to the nearest dollar, for the value of the account to reach $238,000 in 20 years?
Answer:
76124
Step-by-step explanation:
CORRECT 100%
Find
f(x) + g(x) = (f + g)(x).
Simplify.
f(x) = 5x3 + 5x2 − 6x + 3
g(x) = x3 − 4x2 + x − 2
I assume you're needing to find \((f+g)(x)\) given those two functions you have.
\(\begin{aligned}(f+g)(x) &= f(x) + g(x) \\[0.5em] &= (5x^3+5x^2-6x+3) + (x^3-4x^2+x-2)\end{aligned}\)
From there, you combine like terms:
\(\begin{aligned}(f+g)(x) &= f(x) + g(x) \\[0.5em] &= (5x^3+5x^2-6x+3) + (x^3-4x^2+x-2) \\[0.5em] &= 6x^3+x^2-5x+1\end{aligned}\)
I don’t know how to do this
The given ordered pairs (4, 0.5), (2.5, 4.5), (0.5,3), and (2, 0) are plotted on the coordinate plane as shown in the graph below.
Plotting ordered pair in a coordinate planeFrom the question, we are to plot the given ordered pairs on the coordinate plane
To plot the given ordered pairs, we will determine the location of the point on the coordinate plane
We will look at the first number in the ordered pair (the x-coordinate) and find that value on the x-axis. Also, we will look at the second number (the y-coordinate) and find that value on the y-axis.
Now, we will plot the point where the x-coordinate and y-coordinate intersect. The point is represented by a dot.
The ordered pairs are plotted on the coordinate plane as shown in the graph below.
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find the general solution of the given second-order differential equation. 8y'' + y' = 0
Thus, the general solution of the given differential equation is: y = c1 + c2e^(-x/8) where c1 and c2 are constants determined by the initial or boundary conditions.
To find the general solution of the given differential equation, we first need to find the characteristic equation by assuming a solution of the form y = e^(rt), where r is a constant.
Substituting this into the differential equation, we get:
8(e^(rt))'' + (e^(rt))' = 0
Simplifying, we get:
8r^2e^(rt) + re^(rt) = 0
Factoring out e^(rt), we get:
e^(rt)(8r^2 + r) = 0
Solving for r, we get:
r = 0 or r = -1/8
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Check all that apply for the series [infinity] 12 n n=1 Diverges by the Divergence Test (nth term test). Convergent Geometric series. Divergent Geometric series. Divergent Harmonic series. Convergent Alternating Harmonic Series. Convergent p-series. Divergent p-series. Convergent by Comparison/Limit Comparison Test. Divergent by Comparison/Limit Comparision Test. Convergent by Alt. Series Test. Convergent by Ratio/Root Test. Divergent by Ratio/Root Test.
In general, the Divergence Test (nth term test) only allows us to determine whether a series diverges or not. It does not help us to determine the convergence of a series. Therefore, none of the other tests apply to this series.
The Divergence Test (nth term test) states that if the limit of the nth term of a series is not equal to zero, then the series diverges.
The series [infinity] 12 n n=1 is defined as follows:
[infinity] 12 n n=1 = 12¹ + 12² + 12³ + ...
The nth term of this series is given by:
aₙ = 12ⁿ As n → ∞, aₙ → ∞,
which means the limit of the nth term of the series does not exist.
Therefore, the series [infinity] 12 n n=1 diverges by the Divergence Test (nth term test).
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Can some please help me with this question? And can you show your work too? I will mark the best answer Brainliest
Answer:
Finding the vertex by completing the square
1) The vertex = (4/3, -4/3)
2) The vertex = (-1/2, 36)
3) The vertex = (2/3, 26/3)
Finding the value of x by completing the square
1) x = 1 or -4
2) x = 3/2 or -7/2
3) x = 1 or -3
Step-by-step explanation:
Finding the vertex by completing the square
The vertex form of the quadratic equation y = ax² + bx + c is written as follows;
y = a(x - h) + k
Therefore, we have;
Y = 3·x² + 4 - 8·x = a(x - h)² + k
Hence, a = 3
Which gives;
3×(x² - 2·x·h + h²) + k
Hence, we have 3×2×h = 8
h = 8/6 = 4/3
The constant term = k
We note that 3 × h² + k = 4
∴ k = 4 - 16/3 = -4/3
The vertex form is therefore;
Y = 3(x - 4/3)² - 4/3
The vertex = (4/3, -4/3)
2) Where Y = 4·x² + 4·x + 36
a = 4
4× -2·h = 4
∴ h = 4/(4 × (-2)) = 4/-8 = -1/2
Also, 4 × h² + k = 36
Which gives;
4 × (-1/2)² × k = 36
k = 36
The vertex form becomes
y = 4(x - (-1/2)) + 36
The vertex = (-1/2, 36)
3) Where Y = -3·x² + 4·x + 10, we have
a = -3
3×2×h = 4
∴ h = 4/(2×3) = 2/3
a×h² + c = k
-(3)×(2/3)² + 10 = 26/3
Which gives;
Y = -3(x - 2/3) + 26/3
The vertex = (2/3, 26/3)
To find the value of x by completing the square, we have;
1) 2·x² = -6·x + 8
2·x² + 6·x = 8
2·(x² + 3·x) = 8
x² + 3·x = 8/2 = 4
x² + 3·x + (3/2)² = 4 + (3/2)² = 25/4
(x + 3/2)² = 25/4
∴ x + 3/2 = ±5/2
x = 5/2 - 3/2 or -5/2 - 3/2
x = 1 or -4
2) 8·x² + 16·x = 42
8·(x² + 2·x) = 42
x² + 2·x = 42/8 = 21/4
x² + 2·x + 1 = 21/4 + 1 = 25/4
(x + 1)² = 25/4
x + 1 = √(25/4) = ± 5/2
x = 5/2 - 1 or -5/2 - 1
∴ x = 3/2 or -7/2
3) -x² + 2·x = -3
-x² + 2·x = -3
-1×(-x² + 2·x) = -1 ×-3 = 3
x² - 2·x = 3
x² - 2·x + 1 = 3 + 1 = 4
(x - 1)² = 4
x - 1 = √4 = ±2
∴ x = 2 - 1 or -2 - 1
x = 1 or -3
An insured is entitled to coverage under a policy that a prudent person would expect it to provide. This principle is called
Adhesion
Reasonable sensibility
Reasonable expectations
Insurable interest
The principle that refers to an insured being entitled to coverage under a policy that a prudent person would expect it to provide is called reasonable expectations. The correct answer is C.
The principle of "reasonable expectations" in insurance refers to the understanding that an insured individual should reasonably expect coverage from their insurance policy based on the language and terms presented in the policy.
It is based on the idea that insurance contracts should be interpreted in a way that aligns with the insured's reasonable understanding of the coverage they have purchased.
When individuals enter into an insurance contract, they rely on the representations made by the insurance company and the policy wording to determine the extent of coverage they will receive in the event of a loss or claim.
The principle of reasonable expectations recognizes that the insured may not have the same level of expertise or knowledge as the insurance company in understanding the complex legal language of the policy.
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The Riemann zeta function for real numbers is defined for all x for which the series below converges. Find the domain of the function. (Enter your answer using interval notation.) ζ(x)=[infinity]∑n=1 n −x
The domain of the Riemann zeta function, denoted by ζ(x), is the set of real numbers x for which the series ∑n=1 ∞ n^(-x) converges. The domain of the function can be expressed using interval notation as (-∞, 1).
To understand the domain of the Riemann zeta function, we need to consider the convergence of the series ∑n=1 ∞ n^(-x). The series converges when the real part of x is greater than 1. Therefore, the right half-plane Re(x) > 1 represents a region where the series converges.
On the other hand, when the real part of x is less than or equal to 1, the series diverges. This means that the left half-plane Re(x) ≤ 1 is excluded from the domain of the Riemann zeta function.
Combining these conditions, we find that the domain of the Riemann zeta function is (-∞, 1) in interval notation, indicating that the function is defined for all real numbers less than 1.
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80 divided by 192.0!!!!!!!!!!!!!!!
Answer: .416666667
Step-by-step explanation: Take 80 and divide it by 192.0= .416666667
Batman's age is 4 more than twice of robins age. When you add batman's age to robins you get 58. How old is batman and how old is Robin
Part A: Use x to repersent Robins age. Write an equation that represents the situation
Part B: Solve the equation from Part A Show your work. State your solution as a complete sentence
Using a system of equations:
a)
The system is:
\(x + y = 58\)
\(y = 2x + 4\)
b)
Robin is 18 years old and Batman is 40 years old.
-------------------------
Item a:
The equations are built considering Robin's age as x, and thus, Batman's y.Batman's age is 4 more than twice of robins age.
Thus, \(y = 2x + 4\)
Sum of the ages is 58, thus:
\(x + y = 58\)
Then, the system is:
\(x + y = 58\)
\(y = 2x + 4\)
Item b:
Applying the second equation into the first:
\(x + y = 58\)
\(x + 2x + 4 = 58\)
\(3x = 54\)
\(x = \frac{54}{3}\)
\(x = 18\)
Then, for y:
\(y = 2x + 4 = 2(18) + 4 = 36 + 4 = 40\)
Robin is 18 years old and Batman is 40 years old.
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in a library,30% books are fiction.what percentage are non fiction.if their are 50000 books in the library how many are fiction
Answer:
70% non-fiction15,000 fictionStep-by-step explanation:
Given 30% of the 50,000 books in the library are fiction, you want to know the percentage that are non-fiction, and the number of fiction books.
TotalThe total of all books in the library is 100%, so if 30% are fiction, the remaining number are not:
100% -30% = 70% . . . . are non-fiction
NumberThe number of fiction books is found by multiplying the total number by the fraction that are fiction:
fiction books = 50,000 × 0.30 = 15,000
There are 15,000 fiction books in the library.
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What is the value of x in this diagram?
I need this ASAP!!!
Answer:
x is 33
Step-by-step explanation:
All 3 of these angles added together create a straight line, and such lines always measure 180°, so if we create an equation with the 3 angles being added together, set it equal to 180, and solve, we'll find the answer:
104+x+(x+10)=180
104+x+x+10=180 (use the distributive property to remove parenthesis)
104+10+x+x=180 (rearrange terms)
114+2x=180 (combine like terms)
2x=180-114 (subtract 114 from both sides)
2x=66
x=33 (divide 2 from both sides)
what is the solution to the system of equations? 5x+3y=18 and 2x-3y=10 A-2/3,4 B-1 5/9,1 2/3 C- 2 2/3, 1 5/9 D- 4,- 2/3
Answer:
The answer should be D.
Step-by-step explanation:
You do the elimination process.
Answer:
D
Step-by-step explanation:
5x + 3y = 18 → (1)
2x - 3y = 10 → (2)
adding the 2 equations term by term will eliminate the y- term
7x + 0 = 28
7x = 28 ( divide both sides by 7 )
x = 4
substitute x = 4 into either of the 2 equations and solve for y
Substituting into (1)
5(4) + 3y = 18
20 + 3y = 18 ( subtract 20 from both sides )
3y = - 2 ( divide both sides by 3 )
y = - \(\frac{2}{3}\)
the Venn diagram is shown below
n(A), n(B) and n(AnB) are given and n(AUB)'s complement is asked.
Please help the screenshot is below. Find the domain. THE ANSWER IS NOT x≠2.
Answer:
x>2 or (2,∞)
Step-by-step explanation:
if x≤2, 3*|2-x| = 3*(2-x) = 6-3x
3*|2-x| +3x-6 = (6-3x) + 3x-6 = 0 ... f(x) -> ∞ denominator = 0
if x>2, 3*|2-x| = 3*-(2-x) = -6+3x
3*|2-x| +3x-6 = (-6+3x) + 3x-6 = 6x - 12 >0
Mr. A sold his land to Mr.B at a profit of 10%. Mr.B. sold it to Mr.C at a gain of 5%. Mr.C.paid N1240 more for the house than Mr. A paid. What did Mr. A paid.
Answer:
Mr. A initially paid approximately N8000 for the land.
Step-by-step explanation:
Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.
Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.
Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.
Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240
Step 5: Simplifying the equation: 1.155x - x = N1240
Step 6: Solving for x: 0.155x = N1240
x = N1240 / 0.155
x ≈ N8000
Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.
Pls solve now pls pls pls
red
Step-by-step explanation:
i tink cus it looks like it
12 1/2 - (-4 1/2) = ?
Answer:
17
Step-by-step explanation:
12 1/2-(-4 1/2)
12 1/2+ 4 1/2
17
How long can you talk? A manufacturer of phone batteries determines that the average length of talk time for one of its batteries is 470 minutes. Suppose that the standard deviation is known to be 32ministes and that the data are approximately bell-shaped. Estimate the percentage of batteries that have s-scores between −2 and 2 . The percentage of batteries with z-scores between −2 and 2 is
The percentage of batteries that have **s-scores** between -2 and 2 can be estimated using the standard normal distribution.
To calculate the percentage, we can use the properties of the standard normal distribution. The area under the standard normal curve between -2 and 2 represents the percentage of values within that range. Since the data is approximately bell-shaped and the standard deviation is known, we can use the properties of the standard normal distribution to estimate this percentage.
Using a standard normal distribution table or a calculator, we find that the area under the curve between -2 and 2 is approximately 95.45%. Therefore, we can estimate that approximately **95.45%** of the batteries will have s-scores between -2 and 2.
It is important to note that the use of s-scores and z-scores is interchangeable in this context since we are dealing with a known standard deviation.
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Find the slope of each linear graph to solve the riddle.
( i just need help with V)
Answer:
slope=15÷10=1.5 or 3/2
Step-by-step explanation:
slope=rise÷run
10 right 15 up
slope=15÷10=1.5 or 3/2
The slope is calculated as the ratio of the rise and run. The slope of the given line will be \(\dfrac{3}{2}\).
In mathematics, slope refers to the measure of the steepness or inclination of a line. It describes how much a line slants or rises/falls as it moves horizontally.
A positive slope means the line is upward-sloping, rising from left to right, while a negative slope indicates a downward-sloping line.
The slope can be calculated by the ratio of the rise and the run. The points on the given graph are A(10,30) and B(20,45). The slope is calculated by the formula written below,
\(m = \dfrac{y_2-y_1}{x_2-x_1}\)
The slope of the line is calculated below
\(m = \dfrac{y_2-y_1}{x_2-x_1}\\m = \dfrac{45-30}{20-10}\\m = \dfrac{3}{2}\)
The slope of the line will be \(\dfrac{3}{2}\).
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HELP - WILL MAKE BRAINLIEST IF CORRECT - a chunk of lava flies out of a volcano from a height of 12,447 feet a velocity of 608 feet per second. Find the highest point the lava reaches and how long it takes to reach it using the equation y= -16t^2 + 608t + 12,447.
Answer:
18,223 feet
Step-by-step explanation:
y= -16t^2 + 608t + 12,447.
y = -16(t² - 38t) + 12447
y = -16[t² - 2(t)(19) + 19² - 19²] + 12447
y = -16(t - 19)² - 16(-19²) + 12447
y = -16(t - 19)² + 18223
Vertex: (19, 18223)
Max height is 18,223 at t = 19
The parabolas are:
a = -16
b = 608
c = 12,447
x_v = -b/2a
t_v = -608/2(-16)
t_v = -608/-32
t_v = 19
Plug in t_v = 19 to find y_v
y = -16(19)^2 + 608(19) + 12,447
y = -16(361) + 11,552 + 12,477
y = -5,776 + 11,552 + 12,477
y = 18,253
We have the point (19, 18,253)
The max height is at 18,253 when t = 19
Best of Luck!
Find the slope between two points:
(-2, 0) and (-9, 8)
Answer:
y = -1.14286x - 2.28571 (slope of the line is -1.14286)
Step-by-step explanation:
Question text Level and Trend in a Time Series is estimated by- Select one: a. Moving Average b. Simulation method c. Regression analysis d. Covariance analysis e. Correlation Analysis
(C) Regression analysis is the statistical method commonly used to estimate the level and trend in a time series by modeling the relationship between the data and independent variables.
Regression analysis is the statistical method used to estimate the level and trend in a time series. Time series data represents observations taken at different points in time and is commonly used to analyze trends and patterns over time.
Regression analysis allows us to model the relationship between a dependent variable (in this case, the time series data) and one or more independent variables (such as time or other relevant factors). By using regression analysis, we can identify the underlying trend in the time series and estimate its level.
The regression model captures the relationship between the dependent variable (the time series) and the independent variable(s) by fitting a line or curve that best represents the data. This line or curve helps to identify the overall trend and level of the time series.
While moving average, simulation method, covariance analysis, and correlation analysis are useful techniques in analyzing time series data, they are not specifically designed to estimate the level and trend in a time series. Therefore, (C) regression analysis is the most appropriate method for estimating the level and trend in a time series.
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A 240-volt, 2-amp motor is connected to a three-wire, 120/240-volt system. Connected between the black wire and neutral are four 200-watt, 120-volt lamps and a 120-volt, 1-amp motor. Between the red wire and neutral are three 200-watt, 120-volt lamps, one 1. 67-amp motor and one 120-volt, 1-amp motor
The current flowing in the red wire is 4.67 amps.
What is the current in the red wire?The total current flowing in the black wire can be calculated as follows:
Total power of the lamps connected between black wire and neutral = 4 x 200 watts = 800 watts
Power of the motor connected between black wire and neutral = 240 volts x 1 amp = 240 watts
Total power = 800 watts + 240 watts = 1040 watts
Current flowing in the black wire = Total power / Voltage
= 1040 watts / 120 volts = 8.67 amps
The total current flowing in the red wire can be calculated as follows:
Total power of the lamps connected between red wire and neutral = 3 x 200 watts = 600 watts
Power of the 1.67-amp motor connected between red wire and neutral = 240 volts x 1.67 amps = 400.8 watts
Power of the 1-amp motor connected between red wire and neutral = 120 volts x 1 amp = 120 watts
Total power = 600 watts + 400.8 watts + 120 watts = 1120.8 watts
The current flowing in the red wire is calculated as;
current = Total power / Voltage
current = 1120.8 watts / 240 volts
current = 4.67 amps
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The complete question is below:
A 240-volt, 2-amp motor is connected to a three-wire, 120/240-volt system. Connected between the black wire and neutral are four 200-watt, 120-volt lamps and a 120-volt, 1-amp motor. Between the red wire and neutral are three 200-watt, 120-volt lamps, one 1.67-amp motor and one 120-volt, 1-amp motor. (Round the FINAL answer to two decimal places.). How many amps flow in the red wire?
Which best describes the graph of y≥-x² +8x-2?
The vertex is at (4, -14) The parabola is a solid line that opens down. Shading is above the line.
The vertex is at (4, 14). The parabola is a solid line that opens down. Shading is above the parabola.
The vertex is at (-4,-14). The parabola is a dotted line that opens down. Shading is below the parabola.
O The vertex is at (-4, 14). The parabola is a solid line that opens down. Shading is below the parabola.
A statement which best describes the graph of y ≥ -x² + 8x - 2 include the following: B. The vertex is at (4, 14). The parabola is a solid line that opens down. Shading is above the parabola.
How to determine the true statements about this quadratic function?Generally speaking, the graph of a quadratic function would always form a parabolic curve because it is a u-shaped. For this quadratic function, we can logically deduce that the graph is a downward parabola because the coefficient of x² is negative and the value of "a" is less than zero (0).
By critically observing the graph of the given quadratic function, we can logically deduce that the solutions (roots) and vertex are as follows;
x = 0.258, y = 0.
x = 7.742, y = 0.
Vertex = (4, 14).
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Find the value of x
Round to the nearest tenth
Answer:
50
Step-by-step explanation:
use a ruler
Answer: 63.4
Step-by-step explanation:
Just got it right on Acellus:)
which of the following is equal to the rational expression when x ≠ -4 or 16
Answer:
A
Step-by-step explanation:
(x^(2)-16)/((x-16)(x+4))=
[(x+4)(x-4)]/(x-16)(x+4)=
x-4/x-16
Answer:
A. \( \dfrac{x - 4}{x - 16} \)
Step-by-step explanation:
\( \dfrac{x^2 - 16}{(x - 16)(x + 4)} = \)
\( = \dfrac{(x - 4)(x + 4)}{(x - 16)(x + 4)} \)
\( = \dfrac{x - 4}{x - 16} \)
The average area of a living room in the United States is 330
square feet. If the living room is in the shape of a square, what are the approximate dimensions of the room? Be able to solve the problem without a calculator and explain your solution.
Answer:
\(\sqrt{330}\)
Step-by-step explanation:
The area of a square, \(A_{\square}\), is calculated by the square of its sides (\(s^2\)). If you want to find \(s\), given the \(A_{\square}\), you are just going to take the principal square root of (\(A_{\square}\)).
We are given the average area of the living rooms in the United States (\(330\)). If a living room in the United States is in the shape of a square, the average of its side is \(\sqrt{330}\).
Solving for \(\sqrt{330}\) without a calculator:
The numbers \(330\) has no factor that is a perfect square. This means that we cannot write \(\sqrt{330}\) any simpler.
300300 students in a high school freshman class are surveyed about what kinds of pets they have. Of the 300 students, 200 have a dog, 180 have a cat, and 150 have a cat and a dog. Using this information, answer each of the following questions.
Answer:theres no q
Step-by-step explanation:
Probability P(D and C) is (C) 1/2.
What is probability?Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true. The probability of an event is a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty.To find the probability P(D and C):
According to the task content;
The total number of students in the class is; 300.The number of students who have a cat and a dog is 150.
On this note, the probability, P(D and C) is given as;
Therefore, probability P(D and C) is (C) 1/2.
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The correct question is given below:
300 students in a high school freshman class are surveyed about what kinds of pets they have. Of the 300 students, 200 have a dog, 180 have a cat, and 150 have a cat and a dog. Using this information, answer each of the following questions.
Let D be the event that a randomly selected student has a dog and C be the event that a randomly selected student has a cat.
What is P(D and C), the probability that a student in the class has a dog and a cat?
A) 2/3
B) 3/5
C) 1/2
D) 5/6
Meg used this table to track the average attendance from month to month at her theater for five months. A 5-column table with 1 row is titled Percent Increase and Decrease. Column 1 is labeled October with entry negative 1. Column 2 is labeled November with entry 0.5. Column 3 is labeled December with entry negative 0.9. Column 4 is labeled January with entries three-fourths. Column 5 is labeled February with entry one-half. A number line going from negative 1 to positive 1 in increments of 0.25. Graph the numbers on the number line. Choose the inequality symbol that makes each comparison true. Nov. Feb. Oct. Dec. Jan. Nov.
Answer:
B - Her monthly average would have increased by $19.57. ... Katie works as a waitress and records her monthly tips in the table shown below. If Katie decided not to work the month of November, how would her five month average compare to her six month ... Lisa is currently taking physics as one of her electives in school.
Step-by-step explanation:
Answer:
Nov. ✔ = Feb.
Oct. ✔ < Dec.
Jan. ✔ > Nov.
Step-by-step explanation:
Edge 2022