Gordon answered 80% of the questions on the exam correctly. He answered 24 questions correctly. Enter the total number of questions on the exam.
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Related Questions
Which expression is equivalent to ( x^1/4 y^16 )^1/2 ?
Answers
~ 1/4 x 1/2 = 1/2
16x 1/2 = 4
C
please help with the question below
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The five key points of the parent function are:
Domain: Set of all real numbersRange: Set of all real numbers from -1 to 1 (inclusive)No vertical asymptoteNo horizontal asymptoteMaximum: (π/2 + 2πn, 1)The five key points of the parent functionThe function is given as:
y = -2 sin[2(x - 45)] + 1
The above function is a sine function, and the parent function of a sine function is
y = sin(x)
The properties of the above function are:
Domain: Set of all real numbersRange: Set of all real numbers from -1 to 1 (inclusive)No vertical asymptoteNo horizontal asymptoteMaximum: (π/2 + 2πn, 1)The transformed functionThe transformed function is given as:
y = -2 sin[2(x - 45)] + 1
A sine function is represented as:
y = A sin[Bx + C] + D
Where:
A represents the amplitudePeriod = 2π/BC represents horizontal phase shiftUsing the above representations, we have:
Amplitude = -2Period = 2π/2 = πHorizontal phase shift, C = 2 * -45 = -90Equation of the axis, y = 1The graph of the functionSee attachment for the graph of the sine function y = -2 sin[2(x - 45)] + 1
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fill in the blank. a regression line is also called the ______. group of answer choices line of estimate scatterplot line line of best fit line graph
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The correct answer is "line of best fit." A regression line is also called the line of best fit as it represents the best approximation of the relationship between the independent and dependent variables in a scatterplot.
What is regression line?In statistics and data analysis, a regression line is a straight line that represents the best-fitting relationship between two variables. It is often referred to as the "line of best fit" because it minimizes the overall distance between the line and the actual data points.
When plotting data points on a scatterplot, the regression line is used to approximate the trend or pattern in the data. It helps in understanding the relationship between the independent variable (usually denoted as "x") and the dependent variable (usually denoted as "y"). The goal is to find a line that is as close as possible to all the data points, capturing the general trend or direction of the relationship.
The line of best fit is determined by using a statistical technique called regression analysis. This technique calculates the optimal values for the slope and intercept of the line based on the data. The most common method for fitting a regression line is known as ordinary least squares (OLS), which minimizes the sum of the squared differences between the observed data points and the predicted values on the line.
By fitting a regression line, we can make predictions or estimations about the dependent variable based on the values of the independent variable. The line of best fit provides a visual representation of the relationship between the variables and allows for easier interpretation and analysis of the data.
It's important to note that the line of best fit is an estimation based on the given data, and it may not perfectly pass through every data point. However, it provides a useful summary of the overall trend and can be used for making predictions or drawing conclusions about the relationship between the variables.
Therefore, the correct answer is "line of best fit." A regression line is also called the line of best fit as it represents the best approximation of the relationship between the independent and dependent variables in a scatterplot.
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what is the equivalent expression of 0.5%
Answers
Answer:
0.005
Step-by-step explanation:
\(0.5 \% \: = \frac{0.5}{100} = 0.005\)
If k=1, how many edges are there in G ? Your last answer was interpreted as follows: The variables found in your answer were: [n] Correct answer, well done. Marks for this submission: 0.50/0.50. In general (i.e. for any k ), how many edges are there in Your last answer was interpreted as follows: The variables found in your answer were: [n] Incorrect answer. Marks for this submission: 0.00/0.50.
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If k=1, the number of edges in G is 0.
In graph theory, a graph G consists of a set of vertices and a set of edges that connect pairs of vertices. The number of edges in a graph depends on the specific characteristics of the graph.
In this case, we are given that k=1. However, without further information about the graph G, we cannot determine the number of edges in the graph. The variable k does not provide enough context to determine the structure of the graph and its edges.
Therefore, if k=1, we cannot determine the number of edges in G without additional information.
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What is the constant of 8x^2-7x+6
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Answer:
6 is the constant
Step-by-step explanation:
8x^2-7x+6
The constant is the term that does not change ( the one with out the variable)
6 is the constant
(4.2x10^6)(1.1x10^7)
Answers
Answer:4.62x10^13
Step-by-step explanation:
31
When conducting a t test for the correlation coefficient in a study with 16 individuals, the degrees of freedom will be
14
15
30
31
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The correct answer for the degrees of freedom when conducting a t test for the correlation coefficient in a study with 16 individuals is 14.
The degrees of freedom for a t test in a study involving correlation coefficients can be calculated using the formula: df = N - 2, where N represents the sample size. In this case, the sample size is 16, so the degrees of freedom would be 16 - 2 = 14.
Therefore, The correct answer for the degrees of freedom when conducting a t test for the correlation coefficient in a study with 16 individuals is 14.
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What is the value of x?
Answers
Answer::
x=2339÷3 =13x - 10 = 13x = 23
Step-by-step explanation:
becuz i said!!!!!!!!
Use your knowledge of the instantiation and generalization rules for predicate logic natural deduction to determine which of the following statements are true. Check all that apply.
True or False?When using universal instantiation (UI) to instantiate a universal statement, the instantial letter must be a new constant that does not appear on any previous proof line.
True or False?If you have the statement (y)[My ⊃ (Ry • Cy)], you can obtain the expression Mk ⊃ (Ry • Cy) by universal instantiation (UI).
True or False?If you have the statement (x)[(Mx • ~Rx) ⊃ Cx], you can obtain the statement function (My • ~Ry) ⊃ Cy by universal instantiation (UI).
True or False?You can apply universal (UI) instantiation and existential instantiation (EI) only to statements on whole lines.
True or False?You can apply the instantiation and generalization rules to parts of whole lines, just like the propositional rules of replacement.
True or False?To use existential instantiation (EI) to instantiate an existential statement, remove the existential quantifier and replace each instance of the variable bound by the quantifier with a new (previously unused) constant.
True or False?When using universal instantiation (UI) to instantiate a universal statement, you can choose any constant or variable as the instantial letter.
True or False?If you have the statement Mk • ~Rk, you can obtain the statement (z)(Mk • ~Rz) by universal generalization (UG).
True or False?To use existential generalization (EG), you must introduce an existential quantifier in front of an expression, and you must replace every instance of a constant or free variable with a variable bound by the introduced quantifier.
If you have the statement Mk • ~Rk, you can obtain the statement (∃z)(Mk • ~Rz) by existential generalization (EG).
True or False?You can apply universal (UI) instantiation and existential instantiation (EI) only to statements on whole lines.
True or False?You can apply the instantiation and generalization rules to parts of whole lines, just like the propositional rules of replacement.
True or False?????To use existential instantiation (EI) to instantiate an existential statement, remove the existential quantifier and replace each instance of the variable bound by the quaifier with a new (previously unused) constant.
True or False?When using universal instantiation (UI) to instantiate a universal statement, you can choose any constant or variable as the instantial letter.
True or False?If you have the statement Mk • ~Rk, you can obtain the statement (z)(Mk • ~Rz) by universal generalization (UG).
True or False?To use existential generalization (EG), you must introduce an existential quantifier in front of an expression, and you must replace every instance of a constant or free variable with a variable bound by the introduced quantifier.
True or False?If you have the statement Mk • ~Rk, you can obtain the statement (∃z)(Mk • ~Rz) by existential generalization (EG).
Answers
The instantiation and generalization rules for predicate logic natural deduction to determine which of the following statements are true are:
If you have the statement Nh• ~Jh, you can obtain the statement (ay)(Nh • ~Jy) by existential generalization (EG).To use existential instantiation (EI) to instantiate an existential statement, remove the existential quantifier and replace each instance of the variable bound by the quantifier with a new (previously unused) constant.You can apply universal (UI) instantiation and existential instantiation (EI) only to statements on whole lines.Existential instantiation is the principle that, given the knowledge that xP(x) is true, leads us to infer that there is an element c in the domain for which P(c) is true. Here, c cannot be chosen arbitrarily; rather, c must be such that P(c) holds. Most of the time, all we know about c is that it exists. We may assign it a name (c) because it exists and move on with our argument.
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Pls help and thankssss
Answers
Answer:
270 is the answer
-Sumin <3
Graph y=1/2x=+1
Use the table or identify m and b if it helps you graph.
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Answer: 1/3
Step-by-step explanation:
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
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Hello!
-10 + 8x < 6x - 4
-10 < -2x - 4
-6 < -2x
3 < x
-2(5 - 4x) < 6x - 4
-10 + 8x < 6x - 4
8x - 6x < -4 + 10
2x < 6
x < 3
Noriko multiplies 13 x 45
. Which of the following is not a partial product?
A. 50
B. 90
C. 15
D. 400
Answers
Answer:
90!
Step-by-step explanation:
If x is not equal to zero, what is the value of \(\frac{4(3x)^2}{(2x)^2}\)
Answers
Answer:
\(\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0\)
General Formulas and Concepts:
Pre-Algebra
Evaluations
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Distributive Property
Terms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
\(\displaystyle \frac{4(3x)^2}{(2x)^2}\)
Step 2: Simplify:
Rewrite [Exponential Distributive Property]: \(\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{4(3^2x^2)}{2^2x^2}\)[Order of Operations] Evaluate exponents: \(\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{4(9x^2)}{4x^2}\)[Order of Operations] Multiply: \(\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{36x^2}{4x^2}\)Simplify: \(\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{36}{4} ,\ x \neq 0\)[Order of Operations] Divide: \(\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0\)\(\\ \sf\longmapsto \dfrac{4(3x)^2}{(2x)^2}\)
\(\\ \sf\longmapsto\dfrac{ 4(9x^2)}{4x^2}\)
\(\\ \sf\longmapsto \dfrac{36x^2}{4x^2}\)
Take x^2 common and cancel.\(\\ \sf\longmapsto \dfrac{x^2}{x^2}\left(\dfrac{36}{4}\right)\)
\(\\ \sf\longmapsto \dfrac{36}{4}\)
\(\\ \sf\longmapsto 9\)
How many times can 5 go into 11
Answers
Answer:
Step-by-step explanation:2
Solve each equation. 7x²+8 x=-6 .
Answers
7(-6)^2+8
-42^2
-1,764+8
-1,772
A ball is thrown into the air with an upward volocitt o 12ft/se. The equation for the ball’s heigh (h) at any time (t) is h (t) =-4t^2+12t+5 find the time(s) at which the ball reaches a height of 10ft. Express solutions as decimals rounded to tenths place. Separate solutions with a comma with leaving any space
Answers
The required time at which the ball reaches a height of 10 ft is 0.5 sec.
Given that,
A ball is thrown into the air with an upward velocity o 12ft/s. The equation for the ball’s height (h) at any time (t) is h (t) =-4t^2+12t+5 find the time(s) at which the ball reaches a height of 10ft.
Here,
Given equation,
h(t) =-4t²+12t+5
For height 10 ft time,
10 = -4t² + 12t + 5
4t² - 12t + 5 = 0
4t² -10t - 2t + 5 = 0
2t(2t - 5) - 1(2t - 5) = 0
(2t-1)(2t -5) = 0
t = 1/2, 5/2 (5/2 can be negelected)
Thus, the required time at which the ball reaches a height of 10 ft is 0.5 sec.
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The Smith Family is buying a house for $350,000 with a down payment of $70,000 for a 15-year loan, $66 per month insurance, property tax is $230 per month and HOA is $600 per year. Calculate their total monthly payment
Answers
Using monthly payment formula, the Smith Family's total monthly payment is approximately $2,360.99.
What is the Monthly Payment?To calculate the total monthly payment for the Smith Family, we need to consider the mortgage payment, insurance, property tax, and HOA fees.
1. Mortgage Payment:
The loan amount is the house price minus the down payment:
$350,000 - $70,000 = $280,000.
To calculate the monthly mortgage payment, we need to determine the interest rate and loan term. Since you mentioned it's a 15-year loan, we'll assume an interest rate of 4% (which can vary depending on market conditions and the borrower's credit).
We can use a mortgage calculator formula to calculate the monthly payment:
M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ⁻¹]
Where:
M = Monthly mortgage payment
P = Loan amount
i = Monthly interest rate
n = Number of months
The monthly interest rate is the annual interest rate divided by 12, and the loan term is 15 years, which is 180 months.
i = 4% / 12 = 0.00333 (monthly interest rate)
n = 180 (loan term in months)
Plugging in the values into the formula:
M = $280,000 [0.00333(1 + 0.00333)¹⁸⁰] / [(1 + 0.00333)¹⁸⁰⁻¹]
Using a calculator, the monthly mortgage payment comes out to be approximately $2,014.99.
2. Insurance:
The monthly insurance payment is given as $66.
3. Property Tax:
The monthly property tax payment is given as $230.
4. HOA Fees:
The HOA fees are stated as $600 per year. To convert this to a monthly payment, we divide by 12 (months in a year): $600 / 12 = $50 per month.
Now, let's add up all these expenses:
Mortgage payment: $2,014.99
Insurance: $66
Property tax: $230
HOA fees: $50
Total monthly payment = Mortgage payment + Insurance + Property tax + HOA fees
Total monthly payment = $2,014.99 + $66 + $230 + $50
Total monthly payment = $2,360.99
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Which segment is a reflection of segment AB over the line x = 1?
Line segment C D
Line segment E F
Line segment G H
Line segment I J
Answers
Answer:
EF
Step-by-step explanation:
this line is a mirror version of AB when you reflect it across x=1
Hope this is helpful! :))
Answer:
EF
Step-by-step explanation:
Edge2021
Autumn mowed 4 lawns in 3 hours. What was her rate of mowing in hours per lawn?
Answers
The rate of mowing in hours per lawn is 0.75.
It is given that Autumn mowed several lawns in a given period of time. The total number of lawns mowed by Autumn is 4. The total amount of time taken by Autumn to mow all the lawns is 3 hours. We need to find the rate of mowing a lawn in hours. A rate in mathematics is the ratio of two related values in different units. The rate is the ratio of the total amount of time taken in hours to the total number of lawns mowed. The rate is 3/4 = 0.75 hours per lawn.
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• Liz fue a comprar un Kilo de Papas tres cuartos
de Kilo de tomate y medio Kils de aguacate Yob
Cuarto de kilo de cebolla ¿Cuantos Kilos Pesaba
toda la verdura que compro?
Answers
Liz went to the store to get a kilo of papas, three kilo tomatoes, and a half kilo of aguacate. Yob Cuarto de Kilo de Cebolla, How Many Kilograms Were All the Vegetables You Bought Weighed
2,40
Dejar:
T = Tomate
n = cebolla
(2 kilograms of t) plus 1 kilogram of n = 8.40
(1 kilogram plus 2 kilograms) equals 7.80.
2t + n = 8,40 - -
t + 2n = 7,80 - -
De (2);
t = 7,80 - 2n
Toggata = 7.80 - 2n en
2 (7,80 - 2n) + n = 8,40
15,6 - 4n + n = 8,40
15,6 - 3n = 8,40
-3n = 8,40 - 15,6
-3n = - 7,2
n = 2,4
t = 7,80 - 2
t = 7,80 - 4,80
t = 3
As a result, the price of 1 kg of celery is $2.40.
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How many kilometers are there in 1 1/2 miles?
Answers
There are 2.41 kilometers in 1 1/2 miles, approximately.
Step-by-step explanation:1. Convert to kilometers by multiplying the fraction by "1.60934".\((1+\frac{1}{2})*1.60934=2.41401\\ \\\)
2. Conclude.There are 2.41 kilometers in 1 1/2 miles, approximately.
check the attachment pls.
Answers
Answer:
60 degrees
Step-by-step explanation:
Vertical angles are angles opposite of each other created by intersecting lines.
Vertical angles are always congruent ( equal ) to each other.
So if an angle has a measure of 60 degrees then its vertical angle would also have a measure of 60 degrees
Answer:
60°
Step-by-step explanation:
Vertical angles are angles of the same measure.
One of the vertical angles is 60°. Therefore, the other angle must be 60°.
Hope this helps!!!
Please give me brainliest!!!
I only need one more brainliest for Virturoso so please give me brainliest
A bunny hop is a bike trick in which the rider brings both tires off the ground without using a ramp. The table shows the height y (in inches) of a bunny hop on a bike that weighs x pounds.
Write a function that relates the height of the bunny hop to the weight of the bike.
Weight, x 10 15 20
Height, y 12 11 10
Answers
Answer:
y = -1/5x + 14
Step-by-step explanation:
In order to write the easiest and most common equation of the line (or, as the question puts it, a function that relates x to y), y = mx + b, you need to find the slope (m) and the y-intercept (b). For the slope, pick any two points and take their change in x and divide it by their change in y. For example, for the points (10,12) and (20, 10) in the table, you'd do (10-12)/(20-10) = -2/10 = -1/5, so your slope is -1/5. This would make your "placeholder equation" y = -1/5x + b Next, you find the b term by plugging any point into your "placeholder equation" and solving for b. For example. 10 = -1/5(20) + b, which is the same as 10 = -4 + b, and add 4 to both sides to find that b is 14.
Kira had some money sitting in a savings account that earns 2.75% simple interest each year. She left it there for 8 years and earned $495 in interest. How much money did she have in the account to begin with.
Answers
Answer:
$2250
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 2.75%/100 = 0.0275 per year,
then, solving our equation
I = 2250 × 0.0275 × 8 = 495
I = $ 495.00
The simple interest accumulated
on a principal of $ 2,250.00
at a rate of 2.75% per year
for 8 years is $ 495.00.
Which quadratic function in vertex form can be represented by the graph that has a vertex at (3, -7) and passes through the point (1, -10)?
Answers
10 of 10
Henry was thinking of a number. Henry adds 2, then divides by 5 to get an answer of -10. What
was the original number?
Answers
Find the volume of this sphere. Please help
Answers
Hello there!
We've already given the formula so I will not be adding it here.
We are also given that π = 3 for this problem.
r is defined as 'radius'
Radius is a point from center to one of endpoints.
Look at the image, the radius is given as 7cm.
From the information we gathered:
π = 3r = 7Substitute in the formula.
\( \displaystyle \large{ V = \frac{4}{3} (3) {(7)}^{3} }\)
Cancel 3 out.
\( \displaystyle \large{ V = 4{(7)}^{3} }\)
Evaluate 7^3
\( \displaystyle \large{ V = 4(343) }\)
Multiply
\( \displaystyle \large{ V = 1372 }\)
Therefore, the volume is 1372.
Let me know if you have any questions!
Topic: Surface Area and Volume - Sphere's Volume
Step-by-step explanation:
what's the problem ? your teacher even gave you the formula for the volume of a sphere and allowed you to round pi to simply 3. and he gave you the radius directly (not even "hidden" as diameter).
so, what is it you cannot do by yourself ? if you are unsure about doing these calculations in your head, use a calculator.
this is all much, much faster than uploading such a question here and waiting for a response, which very often will just be nonsense, because some people here just only make fun of such simple questions.
r = 7
pi = 3
so,
V = 4/3 × 3 × 7³ = 4 × 7³ = 4 × 343 = 1372 cm³
that's it.
please, when you have the time let me know, where the problem was, and if I can help you better understanding this problem.
????
Answers
Answer:
Part A: A
Part B: \(x+18=8(2x-6)-18x\)
Step-by-step explanation:
When in Step 1, the equation is multiplied by two, the second term, -9x, is not doubled as well. Thus the answer above for Part B, is what Step 1 should look like.
Finishing evaluating the problem:
\(x+18=16x-48-18x\)
\(x+18=-2x-48\)
\(3x=-66\)
\(x=-22\)
QED