Answer:
y axis and
Step-by-step explanation:
The point P(a, b) where the value of a is 0, hence point P is located on the y axis.
Coordinate planeThe coordinate plane is a two-dimensional surface formed by two lines known as the horizontal axis (x axis) and the vertical axis (y axis). The origin is the point of intersection of both axis and it serves as a reference point.
A point on the coordinate plane is located using the x and y coordinates.
Given the point P(a, b) where the value of a is 0, hence point P is located on the y axis.
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estimate 36.61 + 35.907 + 37.2
A two pound box of fruit snacks contains 24 packets. Find the unit rate in packets per pound
Answer:
12
Step-by-step explanation:
Given that a two pound box of fruit snacks contains 24 packets
We have to find the unit rate per pound
This is a question of direct variation.
[tex]2 pounds = 24 packets\\1 pount= 12 packet[/tex]
i.e. unit rate is 12 packets per pound
Miriam’s study group received test scores of 96, 81, 82, 99, 94, 92, 95, 82, and 80. Find the mean and median scores.
Answer:
The mean is
✔ 89
The median is
✔ 92
The mean of Miriam's test scores is 89 and the median is 92.
What is mean?"It is the average of a data set. "
What is median?"It is the middle value in a list ordered from smallest to largest."
For given question,
Total number of test scores = 9
The sum of all the test scores would be,
96 + 81 + 82 + 99 + 94 + 92 + 95 + 82 + 80 = 801
So, the mean would be,
[tex]\bar{X}=\frac{801}{9} \\\\\bar{X}=89[/tex]
So, the mean of Miriam's test scores is 89.
If we arrange the test scores in ascending order then it would be,
80, 81, 82, 82, 92, 94, 95, 96, 99
The middle value is 92
So, the median is 92.
Therefore, the mean of Miriam's test scores is 89 and the median is 92.
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If you have 18 out of 20 homework sections completed what percentage do you have
2ax+1=ax+5 solve for x
How would you use the Fundamental Theorem of Calculus to determine the value(s) of b if the area under the graph g(x)=4x between x=1 and x=b is equal to 240?
Answer:
[tex]\displaystyle b = 11[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Functions
Function NotationCalculus
Integration
IntegralsDefinite IntegralsIntegration Constant CIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
g(x) = 4x
Interval [1, b]
A = 240
Step 2: Solve for b
Substitute in variables [Area of a Region Formula]: [tex]\displaystyle \int\limits^b_1 {4x} \, dx = 240[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle 4\int\limits^b_1 {x} \, dx = 240[/tex][Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle 4(\frac{x^2}{2}) \bigg| \limits^b_1 = 240[/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: [tex]\displaystyle 4(\frac{b^2}{2} - \frac{1}{2}) = 240[/tex][Distributive Property] Distribute 4: [tex]\displaystyle 2b^2 - 2 = 240[/tex][Addition Property of Equality] Add 2 on both sides: [tex]\displaystyle 2b^2 = 242[/tex][Division Property of Equality] Divide 2 on both sides: [tex]\displaystyle b^2 = 121[/tex][Equality Property] Square root both sides: [tex]\displaystyle b = \pm 11[/tex]Choose: [tex]\displaystyle b = 11[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
What is 46 2/3% of 28
Answer:
46 2/3% of 28 is 13.06
Step-by-step explanation:
Hello,
thank you very much for asking this here in brainly, I think I can help you with this one
Let's remember
[tex]a\frac{b}{c} =\frac{(a*c)+b}{c}\\[/tex]
Step 1
[tex]46\frac{2}{3} =\frac{(46*3)+2}{3} =\frac{140}{3} =46.67[/tex]
so 46 2/3% =46.67%
Step 2
using a rule of three
define the relationships
if
28⇒ 100%
x? ⇒46.67%
[tex]\frac{28}{100}=\frac{x}{46.67} \\[/tex]
isolating x
[tex]\frac{28}{100}=\frac{x}{46.67} \\x=\frac{28*46.67}{100}\\x=\frac{1306.67}{100} \\x=13.06[/tex]
46 2/3% of 28 is 13.06
I hope it helps, have a great day
The perimeter of a parallelogram is 72 meters. The width of and the the parallelogram is 4 meters less than its length. Find the length width of the parallelogram.
5x+14-2x=9-(4x+2) can someone help
the sum of three consecutive numbers is 267.what is the largest number
The average yearly temperature T in degrees for Newport, Oregon is given by: |T−55|≤10 Find the average temperature range in degrees.
The average temperature range in Newport, Oregon is between 45 and 65 degrees.
The average yearly temperature T in degrees for Newport, Oregon is given by: |T−55|≤10. This means that the temperature T is within 10 degrees of 55 degrees. To find the average temperature range, we consider the range between 55+10 = 65 degrees and 55-10 = 45 degrees.
Therefore, the average temperature range in Newport, Oregon is 45 to 65 degrees.
Find the Taylor series for
f(x), centered at the given value of a.
f(x) = sin(x), a = π
Written as a summation?
Radius of convergence?
The Taylor series for [tex]\( \sin(x) \)[/tex] centered at [tex]\( a = \pi \)[/tex] is:[tex]\[ \sin(x) = \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n + 1)!}(x - \pi)^{2n + 1} \][/tex]
The radius of convergence of this Taylor series is infinite, meaning it converges for all values of ( x ).
To find the Taylor series for [tex]\( f(x) = \sin(x) \)[/tex] centered at [tex]\( a = \pi \),[/tex] we first need to find the derivatives of \( \sin(x) \) and evaluate them at \( x = \pi \). Then, we'll write out the Taylor series using the formula:
[tex]\[ f(x) = f(a) + f'(a)(x - a) + \frac{f''(a)}{2!}(x - a)^2 + \frac{f'''(a)}{3!}(x - a)^3 + \cdots \][/tex]
Let's find the derivatives of [tex]\( \sin(x) \)[/tex] and evaluate them at [tex]\( x = \pi \):[/tex]
1. [tex]\( f(x) = \sin(x) \)[/tex]
2. [tex]\( f' (x) = \cos(x) \)[/tex]
3.[tex]\( f''(x) = -\sin(x) \)[/tex]
4.[tex]\( f'''(x) = -\cos(x) \)[/tex]
Now, evaluate these derivatives at \( x = \pi \):
1. [tex]\( f(\pi) = \sin(\pi) = 0 \)[/tex]
2. [tex]\( f'(\pi) = \cos(\pi) = -1 \)[/tex]
3.[tex]\( f''(\pi) = -\sin(\pi) = 0 \)[/tex]
4. [tex]\( f'''(\pi) = -\cos(\pi) = 1 \)[/tex]
Now, plug these values into the Taylor series formula:
[tex]\[ \sin(x) = 0 - 1(x - \pi) + \frac{0}{2!}(x - \pi)^2 + \frac{1}{3!}(x - \pi)^3 + \cdots \][/tex]
Simplify:
[tex]\[ \sin(x) = -\sum_{n=0}^{\infty} \frac{(-1)^n}{(2n + 1)!}(x - \pi)^{2n + 1} \][/tex]
So, the Taylor series for [tex]\( \sin(x) \)[/tex] centered at [tex]\( a = \pi \)[/tex] is:
[tex]\[ \sin(x) = \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n + 1)!}(x - \pi)^{2n + 1} \][/tex]
The radius of convergence of this Taylor series is infinite, meaning it converges for all values of ( x ).
The senate in a certain state is compromised of 58 republicans, 39 democrats, and 3 independents. How many committees can be formed if each committee must have 3Republicans and 2 Democrats?
Find the dimensions of the rectangular box with largest volume if the total surface area is given as 64cm^2
You are planning a study and are considering taking an srs of either 300 or 700 observations. explain how the sampling distribution would differ for these two scenarios.
This question has following choices to choose the answer from:
The larger sample would have a center closer to the true population parameter.
The larger sample would have less sampling variability.
The smaller sample would have less sampling variability.
The statistics of the smaller sample have more chance for bias than those of the larger sample.
I believe that the correct answer from the 4 choices would be the last one:
"The statistics of the smaller sample have more chance for bias than those of the larger sample."
This is because in a smaller sample, there is a high probability that not all parts or portion of the sample population is represented hence resulting in bias. This is especially true for distribution types of data wherein extreme values exist. Following that bias would already be effect on the center and the sampling variability. So bias always comes first.
pie =????????????????????.??
99 33 11 3 2/3 what comes next
A map of Brasilia has a scale of 1 inch to 5 miles. If the city is 2 7/16 inches across on the map, what is the distance across the actual city? a.) 10 1/2 mi b.) 8 3/16 mi c.) 12 3/16 mi d.) 8 1/4 mi
Answer:
[tex]12\frac{3}{16} \text{inches}[/tex]
Step-by-step explanation:
Given : The city is [tex]2 \frac{7}{16}[/tex] inches across on the map
To Find:On the map, what is the distance across the actual city?
Solution:
Distance on map = [tex]2 \frac{7}{16}=\frac{39}{16} inches[/tex]
Scale: 1 inch = 5 miles
So, [tex]\frac{39}{16} inches=\frac{39}{16} \times 5[/tex]
[tex]\frac{39}{16} inches=\frac{195}{16} =12\frac{3}{16} [/tex]
Thus ,the distance across the actual city is [tex]12\frac{3}{16} inches[/tex]
So, option C is correct.
How much times does 7 go into 48??
By what factor will the rate of the reaction change if the ph decreases from 5.50 to 2.00? express your answer numerically using two significant figures.
a. Rate law expression: [tex]\(\text{rate} = kxyz\)[/tex]
b. [tex]\[ \text{Rate factor} \approx 3.16 \times 10^3 \][/tex]
**Part A: Rate Law Expression**
Given that the reaction is first order in [tex]\( (IO_3)^- \)[/tex], first order in [tex]\( (SO_3)^{2-} \)[/tex], and first order in [tex]\( H^+ \)[/tex], the rate law for the reaction can be expressed as:
[tex]\[ \text{rate} = k \cdot [(IO_3)^-]^1 \cdot [(SO_3)^{2-}]^1 \cdot [H^+]^1 \][/tex]
Simplifying this, we get:
[tex]\[ \text{rate} = kxyz \][/tex]
Here, [tex]\( x \), \( y \), and \( z \)[/tex] are the concentrations of [tex]\( (IO_3)^- \), \( (SO_3)^{2-} \), and \( H^+ \)[/tex], respectively. [tex]\( k \)[/tex] is the rate constant.
**Part B: Rate Change with pH**
The pH of a solution is a measure of its hydrogen ion concentration [tex](\( [H^+] \))[/tex]. As the reaction is first order in [tex]\( H^+ \)[/tex], a change in pH will directly impact the rate. The relationship between pH and [tex]\( [H^+] \)[/tex] is logarithmic:
[tex]\[ \text{pH} = -\log[H^+] \][/tex]
To calculate the rate change factor when the pH decreases from 5.50 to 2.00, we need to consider the relationship between pH and [tex]\( [H^+] \)[/tex]:
[tex]\[ \text{pH} = -\log[H^+] \][/tex]
1. **At pH 5.50:**
[tex]\[ [H^+] = 10^{-\text{pH}} = 10^{-5.50} \][/tex]
2. **At pH 2.00:**
[tex]\[ [H^+] = 10^{-\text{pH}} = 10^{-2.00} \][/tex]
Now, calculate the rate factor:
[tex]\[ \text{Rate factor} = \frac{\text{rate at pH 2.00}}{\text{rate at pH 5.50}} = \frac{[H^+]_{\text{pH 2.00}}}{[H^+]_{\text{pH 5.50}}}\][/tex]
[tex]\[ \text{Rate factor} = \frac{10^{-2.00}}{10^{-5.50}} \][/tex]
[tex]\[ \text{Rate factor} \approx \frac{0.01}{3.16 \times 10^{-6}} \][/tex]
[tex]\[ \text{Rate factor} \approx 3.16 \times 10^3 \][/tex]
Expressing the answer numerically using two significant figures, the rate change factor is approximately [tex]\(3.2 \times 10^3\).[/tex]
The question probable maybe:
Part A:
The reaction is found to be first order in [tex](IO_3)^-[/tex], first order in [tex](SO_3)^2^-[/tex], and first order in H^+.
If [[tex](IO_3)^-[/tex]] = x, [[tex](SO_3)^2^-[/tex]] = y and [[tex]H^+[/tex]]=z, what is the rate law for the reaction in terms of x, y, and z and the rate constant k?
Express the rate in terms of k, x, y, and (e.g., kxy^3z^2).
▸ View Available Hint(s)
rate= kx^1y^1z
Part B:
By what factor will the rate of the reaction change if the ph decreases from 5.50 to 2.00? express your answer numerically using two significant figures.
36 % of women consider themselves fans of professional baseball. You randomly select six women and ask each if she considers herself a fan of professional baseball. Complete parts (a) through (c) below.
(a) Construct a binomial distribution using
n equals 6n=6 and
p=0.36.
x
P(x)
0
nothing
1
nothing
2
nothing
3
nothing
4
nothing
5
nothing
6
nothing
(Round to the nearest thousandth as
The binomial distribution of the number of women (out of six) who could be an interest in baseball is found by using the binomial probability formula. Probabilities range from 0.027 for zero women interested, to 0.002 for all six women interested.
Explanation:In this problem, we are constructing a binomial distribution for the number of women (out of six) who might consider themselves fans of professional baseball. This involves using the formula for a binomial probability, which is: P(x) = nCx * [tex](p^x) * ((1-p)^(^n^-^x^)[/tex]). Here, n represents the number of trials (in this case, 6 women), p represents the probability of success (here, a woman being a baseball fan, which is 0.36 or 36%), and x represents the number of successful outcomes we're interested in.
Each of these values rounds to the thousandth place
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To construct a binomial distribution, we use the formula P(x) = nCx * p^x * (1-p)^(n-x), where n is the number of trials, p is the probability of success, x is the number of successes, and nCx is the combination formula.
Explanation:To construct a binomial distribution, we use the formula P(x) = nCx * p^x * (1-p)^(n-x), where n is the number of trials, p is the probability of success, x is the number of successes, and nCx is the combination formula.
X = number of women who consider themselves fans of professional baseballn = 6 (randomly selected women)p' = 0.36 (probability of a woman considering herself a fan)The random variables X and P' represent the number of women who consider themselves fans of professional baseball and the probability of a woman considering herself a fan, respectively.
We should use the binomial distribution for this problem.
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Example 3 find the local maximum and minimum values and saddle points of f(x, y) = x4 + y4 − 4xy + 1. solution we first locate the critical points:
At (1,1) and (-1,-1) there is minimum value and at (0,0) is the saddle point.
Given-
Given function is-
[tex]f(x,y)=x^4+y^4-4xy+1[/tex]
Locate the critical points,(use the derivation with respect to x and y)
[tex]f'(x)=4x^3-4y\\\\f'(y)=4y^3-4x[/tex]
Equate the above partial derivatives to the zero, we get.]
[tex]4x^3-4y=0\\\\x^3=y[/tex]
The value of x is obtained. Solve the equation two and put this value of x in that equation, we get,
[tex]4y^3-4x=0\\y^3-x=0[/tex]
Put the value of x, we get,
[tex]x^9-x=0[/tex]
[tex]x(x^8-1)=0[/tex]
from above equation we get one value of [tex]x[/tex] is zero.
[tex]x^8-1=0[/tex]
To the above equation we can rewrite,
[tex]x^2-1=0[/tex]
[tex](x-1)(x+1)=0[/tex]
hence we get three values of the [tex]x[/tex] (0,1,-1)
From the equation of partial derivative equation, we get that
[tex]x=0; y=0[/tex]
[tex]x=1;y=1[/tex]
[tex]x=-1;y=-1[/tex]
Thus three critical points are (0,0),(1,1) nd(-1,-1). Now calculate second partial derivative and D(x,y).
[tex]f"(x)=12x^2-0[/tex]
[tex]f'(xy)=-4[/tex]
[tex]f"(y)=12y^2-1[/tex]
[tex]D(x,y)=f"(x)f"(y)-f'(xy)^2[/tex]
[tex]D(x,y)=144x^2y^2-16[/tex]
Check at critical points,
[tex]D(0,0)=-16<0[/tex]
thus no local minima or maxima at point (0,0). this is the saddle point.
[tex]D(1,1)=12>0[/tex]
so (1, 1) is a local minimum.
[tex]D(-1,-1)=12>0[/tex]
so (-1, -1) is a local minimum.
Hence at (1,1) and (-1,-1) there is minimum value and at (0,0) is the saddle point.
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a full-time employee who works 40 hours per week earns 29.85 per hour estimate the person's annual income
Katie is buying souvenir.gifts for her big family back home. She wants to buy everyone either a key chain or a magnet. The magnets are on sale for 60 cents each and the key chains cost $2 each. She must purchase at least 36.gifts but has to spend less than $40. Let x represent the amount of key chains and y represent the amount of magnets. Model the scenario with a system of inequalities.
Answer:
[tex]x+y\geq 36[/tex]
[tex]2x+0.6y<40[/tex]
Step-by-step explanation:
The magnets are on sale for 60 cents each.
The key chains cost $2 each.
Katie must purchase at least 36 gifts but has to spend less than $40.
Now let x represent the amount of key chains.
Let y represent the amount of magnets.
So, the system of inequalities that form are:
[tex]x+y\geq 36[/tex]
And
[tex]2x+0.6y<40[/tex]
Mrs white wants to crochet beach hits and baby afghans for a church fund raising bazaar. she needs 7 hours to make a hat and 4 hours to make an Afghan and she has 68 hours available. she wants to make no more than 14 items and no more than 11 afghans. the bazaar will sell hats for $21 each and the afphans for $9 each. How many of each should she make to maximize the income for the bazaar?
Find the decimal notation for 84.3%
to turn a percent into a decimal, move the decimal point 2 places to the left
84.3% = 0.843
How much do you need to invest in an account earning an annual interest rate of 2.938% compounded weekly, so that your money will grow to $7,880.00 in 50 weeks?
An employment agency specializing in temporary construction help pays heavy equipment operators $ 134 per day and general laborers $ 92 per day. If thirty-eight people were hired and the payroll was $ 4756 , how many heavy equipment operators were employed? How many laborers?
x=heavy equipment
y= general labor
x+y=38
x=38-y
134x + 92y=4756
134(38-y)+92y =4756
5092-134y+92y=4756
-42y = -336
y = -336/-42 = 8
x=38-8=30
check 30*134 =4020
8*92 = 736
4020+736 = 4756
8 general laborers
30 heavy equipment operators
Please help. Find the cube root of -27 that graphs in the first quadrant.
3(cos?+isin?) Use degree measure.
The cube root of -27 is -3, which cannot be graphed in the first quadrant of the complex plane. When considering complex roots, the angles of these roots do not lie in the first quadrant either, contradicting the given requirement.
Explanation:The cube root of -27 that graphs in the first quadrant in complex form can be represented as 3(cos Θ + i sin Θ), where Θ is the angle in degrees. To find a cube root that lies in the first quadrant, we look for an angle Θ whose cosine is positive and sine is positive, which corresponds to angles between 0° and 90°. However, the cube root of -27 is actually a negative real number, which is -3.
Since we cannot graph a negative real number (-3) in the first quadrant of the complex plane, which only contains positive real and imaginary numbers, the question seems to be a bit contradictory. Nonetheless, if we interpret the cube root in terms of complex numbers, we find that the complex roots of -27 are -3, 3ε², and 3ε⁴, where ε² = e²πi/3 and ε⁴ = e⁴πi/3, correspond to angles of 120° and 240° respectively, which do not lie in the first quadrant.
Tom predicted that the Giants would score three 3-point field goals, score two 6-point touchdowns, and score 1 extra point. If Tom were correct, what would the Giants' score be at the end of the game?
3x3 = 9
2x6 = 12
12+9 = 21+1 =22
score would be 22 points
Answer:
The Giants' score will be 22 points.
Step-by-step explanation:
Consider the provided information.
It is given that tom predicted that the Giants would score three 3-point field goals. Which can be written as:
3 × 3 = 9
Total score by field goals is 9 points.
If he score two 6-point touchdowns, this can be written as:
2 × 6 = 12
Total score by touchdown is 6 points.
And 1 extra point.
Now add all the points as shown below:
Total score is: 9 + 12 + 1 = 22 points
Hence, the Giants' score will be 22 points.