b(x) = 6x² and m(x) = -1/3x²- 4 have similarities and differences as quadratic functions with different coefficients and signs.
How do b(x) and m(x) compare?We can look at the similarities and differences to compare b(x) = 6x² and m(x) = -1/3x² - 4
Similarities:Both b(x) and m(x) are quadratic functions, which means they have an x² term.
They both have a constant term, with b(x) having a constant of 0 and m(x) having a constant of -4.
Differences:The coefficients of the x² term are different: b(x) has a coefficient of 6, while m(x) has a coefficient of -1/3.
The signs of the coefficients are different: b(x) has a positive coefficient, while m(x) has a negative coefficient.
Overall, b(x) and m(x) have some similarities in their form as quadratic functions, but their coefficients and signs are different, which means they will have different shapes and behaviors.
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simplify, the fraction 16/32
Answer:
16/32 simplified should be 1/2
Step-by-step explanation:
divide both by 16
16÷16 = 1
32÷16 = 2
Answer:
1/2 in fraction (or 0.5 in decimal)
Step-by-step explanation:
Q) Simplify 16/32 = ?
→ 16/32
→ (16 ÷ 16)/(32 ÷ 16)
→ 1/2 (or) 0.5
Hence, the final answer is 1/2.
If B=3x-1 and C=2x^2+x+9, find an expression that equals 2B+2C in standard form.
Answer:
\(4x^2 +8x + 16\)
Step-by-step explanation:
2 (3x - 1) + 2 (2x^2 + x + 9)
6x - 2 + 4x^2 +2x + 18
4x^2 + 8x +16
The value of the equation is A = 2B + 2C = 4x² + 8x + 16
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of B is
B = 3x - 1 be equation (1)
And , the value of C is
C = 2x² + x + 9 be equation (2)
The value of 2B = 2 ( 3x - 1 )
2B = 6x - 2 be equation (3)
The value of 2C = 2 ( 2x² + x + 9 )
2C = 4x² + 2x + 18
Now , the equation will be
A = 2B + 2C
A = 6x - 2 + 4x² + 2x + 18
On simplifying the equation , we get
A = 4x² + 8x + 16
Therefore , the value of A is 4x² + 8x + 16
Hence , the equation is A = 4x² + 8x + 16
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HELP ASAP - JUST #3
i will give brainliest is correct
Answer: No
Step-by-step explanation: so if you buy 1 bag of dog food that is $35 and you only have $100 so subtract $35 from $100 and you have $65 left so then you have to buy 2 chew toys and those are 12 dollars so do 12+12 and you get 24 so subtract $24 from the $65 and you get 41 if she wants to buy it again 3 times she wouldn't have enough
The breaking strengths of a random sample of 20 bundles of wool fibers have a sample mean 436.5 and a sample standard deviation 11.9. (a) Construct 90%, 95%, and 99% confidence intervals for the average breaking strength of the wool fibers. (b) Compare the widths of the three confidence intervals. At which level of confidence do you have the widest interval
(a) Construct confidence intervals are : 90%: [428.95, 444.05], 95%: [427.13, 445.87], 99%: [423.67, 449.33].
(b) The 99% confidence interval has the widest interval.
(a) To construct confidence intervals for the mean breaking strength of the wool fibers, we shall use the given formula:
Confidence interval = sample mean ± (critical value * standard error)
The critical value here will depends on the level of confidence. For a 90% confidence level, the critical value is 1.645 (from the standard normal distribution). For a 95% confidence level, the critical value is 1.96, and for a 99% confidence level, the critical value is 2.576.
Standard error is obtained by dividing the sample standard deviation by the square root of the sample size.
Plugging in the values, we can calculate the confidence intervals:
90% confidence interval:
Lower bound = 436.5 - (1.645 * (11.9 / √20))
Upper bound = 436.5 + (1.645 * (11.9 / √20))
95% confidence interval:
Lower bound = 436.5 - (1.96 * (11.9 / √20))
Upper bound = 436.5 + (1.96 * (11.9 / √20))
99% confidence interval:
Lower bound = 436.5 - (2.576 * (11.9 / √20))
Upper bound = 436.5 + (2.576 * (11.9 / √20))
(b) The width of a confidence interval depends on both the critical value and the standard error. When aiming for a higher level of confidence, the interval becomes wider as it requires a larger critical value. Consequently, it can be concluded that among the given confidence intervals, the one with a 99% confidence level will have the broadest range.
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Take Quiz
Question 1
3 pts
Noah raised $54 to support the animal shelter, which is 60% of his fundraising goal.
Select the equation that correctly represents this situation.
(0.6)(54)=g
O 54g=0.6
O 0.6g=54
f is inversely proportional to √ g . When f = 8 , g = 25 Work out f when g = 16
f is inversely proportional to √ g . When f = 8 , g = 25 Work out f when g = 16
ANSWER :By question , f is inversely proportional to square root of g. In mathematical form ,
\(\implies f \propto \dfrac{1}{\sqrt g}\)
Let k be constant . So that ,
\(\implies f =k \dfrac{1}{\sqrt g}\)
When f = 8 , g is 25. So that ,
\(\implies 8= k\dfrac{1}{\sqrt {85}}\)
\(\implies k = 8\sqrt{25} \)
Hence the value of constant is 8√25.
So that when g is 16 ,
\(\implies f = 8\sqrt{25} \times 1/ \sqrt{16}\\\\\implies f = 8*5 / 4 \\\\\implies \boxed{ f = 10 } \)
Hence the Value of f is 10 .
Again PLEASE ANSWER
You have designed a concrete patio which is the shape of a parallelogram and a triangle combined. The parallelogram has a length of 12 m with a height of 4 m. The triangle has a base of 12 m with a height of 5 m. Calculate both the area and perimeter of this patio.
Answer:
perimeter is 35.6 area is 108
Step-by-step explanation:
it helps to draw a picture. first the perimeter of the rectangle is 4x2 +12=20 we wont be needing one of the twelves because it is connected to the triangle the area or the rectangle is 12x4=48. now for the triangle. we will need the Pythagorean theorem to find the sides first split the base in half 12/2=6 now we use the height and the base \(6^{2} +5x^{2} =\)61 the square root of 61 is about 7.8 the perimeter is 7.8+7.8 +12 but we wont need the base because it is attached to the rectangle =15.6 the area of the triangle is like half a square Base times height though 12x5=60
the whole perimeter if 15.6+20=35.6 the area is 60+48=108
Answer:
50 m squared
Step-by-step explanation:
You have to solve for the areas and then add
Suppose that x and y vary inversely and that y=6/5 when x = 4. Write a function that models the inverse variation and find y when x = 7.
Step-by-step explanation:
if x and y vary directly, they are defined as
y = kx
with k being a constant for all x.
now, if they vary inversely, they are defined as
y = k/x
so,
6/5 = k/4
24/5 = k
y = f(x) = 24/5 / x = 24/(5x)
f(7) = 24/(5×7) = 24/35
when x = 7, y = 24/35
When x and y vary inversely, their product is always a constant, k. In this case, we know that x = 4 and y = 6/5, so we can use this information to find the value of k:
k = xy = (4)(6/5) = 24/5
The function that models this inverse variation is:
xy = k
We can find y when x = 7 by substituting this value into the equation and solving for y:
xy = k
(7)y = 24/5
y = 24/5*(1/7)
y=24/35
So when x = 7, y = 24/35.
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Three equivalent fractions for 30/48
1) 5/8
2) 15/24
3) 300/480
Answer: 5/8
10/16
15/24
Step-by-step explanation:
А(1,5) B(7,-9) are two points
AB is divided into four equal parts at C, D
and E Find the coordinates
of C, D and E
Answ Find the distance between the following pairs of points:
(i) (2, 3), (4, 1) (ii) (–5, 7), (–1, 3) (iii) (a, b), (–a, –b)Sol. (i) Here x1 = 2, y1 = 3, x2 = 4 and y2 = 1 ∴ The required distance er:
Step-by-step explanation:
Show your work please
Answer:
B 2208cm squared
you follow this formula
A=2(wl+hl+hw)
w means width
l means length
h means height
input the numbers and you got your answer.
Hope this helped ;)
Answer:5760 cm2
Step-by-step explanation:length times width times height 12 times 12 is 144 and 144 times 40 is 5770 cm2
Complete the sentence.
Twenty-four is % of 80.
Answer: 24 of 80 is 30%
Step-by-step explanation:
24 of 80 can be written as: 24/80
To find percentage, we need to find an equivalent fraction with denominator 100. multiply both numerator & denominator by 100: 24/80 x 100/100
= (24x100 / 80 ) x 1/10 = 30/100
Therefore, the answer is 30%
If you are using a calculator, simply enter 24÷80×100 which will give you 30 as the answer.
A driver receives -25 points for each rule violation.what integer represents the change in points after 5 rule violations?
Answer: -125
To solve, we mutiply -25 by 5. We get -125.
The volume of a cube is 125 cm³.
Calculate the total surface area of the cube.
Give the units of your answer.
Answer: Surface Area = 150cm^2
Step-by-step explanation:
The formula for finding the surface area of a cube is A=6V^2/3
Since the volume is given to you all you have to do is plug it into the formula where V is.
A= 6 * 125^2/3
Input this into a calculator and your answer should come out to be 150.
As for the unit it is cm but I am unsure of the power of what it should be but because its asking for surface area and not the cube as a whole I am assuming in this case it'll be cm^2
If the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent. True or False?
The statement "If the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent" is true.
Let's understand why?
Explanation:
An argument with a tautology conclusion is an argument that arrives at a conclusion that is always true, regardless of the truth values of the premises. In other words, it is impossible for the premises to be true while the conclusion is false.
This means that any attempt to find a counterexample that disproves the conclusion will always fail, as there is no possible scenario in which the conclusion is false.
The counterexample set of an argument is the set of all possible scenarios in which the premises are true but the conclusion is false. If the conclusion is a tautology, then there is no possible scenario in which the conclusion is false, and thus the counterexample set is empty. An empty counterexample set is equivalent to an inconsistent counterexample set, as it means that there is no consistent scenario in which the conclusion is false.
Therefore, if the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent.
Hence, the statement is true.
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shannon is traveling from new york city to washington, d.c. she wants to go by train so she can see the views. since she will be driving home with a family member, she only priced the cost of a one-way ticket on amtrak for any time of day on february 15. below is an ordered listing of all fares that were available for selection on that day. a. find the percentile rank for a fare of $119. b. find the percentile rank for a fare of $272. c. based on your first two answers, which train fare would have a percentile rank of approximately 82%?
a. The percentile rank for a fare of $119 is 30%.
b. The percentile rank for a fare of $227 is 91.11%.
c. Based on your first two answers, for $173 train fare would have a percentile rank of approximately 82%.
a. We have to determine the percentile rank for a fare of $119.
Total number of fare below and at the fare $119 = 27
Total fare = 90
The percentile rank for a fare of $119 = Total number of fare below and at the fare $119/Total fare × 100
The percentile rank for a fare of $119 = 27/90 × 100
The percentile rank for a fare of $119 = 0.3 × 100
The percentile rank for a fare of $119 = 30%
b. We have to determine the percentile rank for a fare of $272.
Total number of fare below and at the fare $272= 82
Total fare = 90
The percentile rank for a fare of $272 = Total number of fare below and at the fare $272/Total fare × 100
The percentile rank for a fare of $272 = 82/90 × 100
The percentile rank for a fare of $272 = 0.911 × 100
The percentile rank for a fare of $272 = 91.11%
c. Based on your first two answers, We have to determine which train fare would have a percentile rank of approximately 82%.
The percentile rank for a fare of $119 is 30%.
The percentile rank for a fare of $272 is 91.11.
There are three pricing ranging from $119 to $272. The percentile rank of 82% for the $272 response to section B is closer to 91.11%. $173 is the cost next to $272. Therefore, it makes the most sense that $173 would have a percentile rank of about 82%. Determine how many fares there are
= 12 × 6 + 2
= 72 + 2
= 74 fares
The percentile rank = 74/90 × 100%
The percentile rank = 82.22%
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The complete question is:
Shannon is traveling from New York City to Washington, D.C. She wants to go by train so she can see the views. Since she will be driving home with a family member, she only priced the cost of a one-way ticket on Amtrak for any time of day on February 15. Below is an ordered listing of all fares that were available for selection on that day.
49 88 88 88 119 133 133 133 161 171 173 173 173 272 284
49 88 88 88 119 133 133 161 161 173 173 173 173 272 284
88 88 88 119 119 133 133 161 161 173 173 173 272 272 284
88 88 88 119 133 133 133 161 171 173 173 173 272 272 284
88 88 88 119 133 133 133 161 171 173 173 173 272 284 284
88 88 88 119 133 133 133 161 171 173 173 173 272 284 284
a. Find the percentile rank for a fare of $119.
b. Find the percentile rank for a fare of $272.
c. Based on your first two answers, which train fare would have a percentile rank of approximately 82%?
Please solve this questions step by step
Answer:
I am not solving the questions from 1 to 8 , as they are only simple addition questions.
Answer:
Step-by-step explanation:
can i have the answer
Answer:
4 12 and 10
Step-by-step explanation:
We just half the drink values to find the water or multiple the water by 2 to find the drink (the second value shown in the grid
PLSS HELP WIT 4 QUESTIONNN
Answer:
1. Statement C is not true.
2. Option B is correct
3. Option C is correct
4.Option C is correct
Step-by-step explanation:
1. There are 5 Platonic solids : The tetrahedron, cube
,octahedron, dodecahedron ,icosahedron.
The faces of cube and dodecahedron are not triangles.therefore statement C is incorrect.
2. Polyhedron formula : Vertices - Edges + Faces = 2
now put the values
12 - 18 + F= 2
F = 8.
3. Polyhedron formula : Vertices - Edges + Faces = 2
now put the values
V - 30 + 12 = 2
V = 20.
4. Probability is the number of favourable or unfavourable event divided by total events.
therefore denominator always greater than numinator.
so \(\frac{8}{7}\) cannot represent the probability
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A lifting tackle consist of 2 pulley b lock containing 2 and 3 pulley respectively. How mu;st this tackle be use to bbtain the greatest VR? What is the value of this VR?
Answer:
\(VR=5\)
Step-by-step explanation:
From the question we are told that:
No of Pulleys =5
Generally Greatest VR is achieved if it has no friction to the pulleys
Therefore
\(W=5P\)
Generally the equation for Efficiency is mathematically given by
\(n=\frac{MA}{VR}\)
Where
MA=mechanical advantage
Therefore at Greatest VR
\(n=100 \%\)
\(MA=VR\)
\(VR=\frac{W}{P}\)
\(\frac{W}{P}=5\)
\(VR=5\)
Solve each equation. For each step. Identify the property used.
14 + 3n = 8n - 3(n-3)
22x + 11 = 4x - 7
(P.S. The properties that the problem is asking for are the properties of equality. Division property of equality, etc, etc.)
Answer:
Solution of \(14 + 3n = 8n - 3(n-3)\) => x = 5/2
Solution of \(22x + 11 = 4x - 7\) => x=-1
Step-by-step explanation:
We will solve the equations one by one
So,
\(14 + 3n = 8n - 3(n-3)\)
Applying Distributive property
\(14 + 3n = 8n - 3n+9\\14+3n = 5n+9\)
Subtraction property of equality (Subtracting 14 from both sides)
\(14+3n-14 = 5n+9-14\\3n = 5n-5\)
Subtraction property of equality (Subtracting 5n from both sides)
\(3n-5n = 5n-5-5n\\-2n = -5\)
Division property of equality (Dividing both sides by -2)
\(\frac{-2n}{-2} = \frac{-5}{-2}\\n = \frac{5}{2}\)
Second Equation:
\(22x + 11 = 4x - 7\)
Subtraction property of equality (Subtracting 11 from both sides)
\(22x + 11-11 = 4x - 7-11\\22x = 4x-18\)
Subtraction property of equality (Subtracting 4x from both sides)
\(22x-4x = 4x-18-4x\\18x = -18\)
Division property of equality (Dividing both sides by 18)
\(\frac{18x}{18} = \frac{-18}{18}\\x = -1\)
Hence
Solution of \(14 + 3n = 8n - 3(n-3)\) => x = 5/2
Solution of \(22x + 11 = 4x - 7\) => x=-1
The factory pays 7 cents per kWh for energy. Find the cost for each bulb type at 0 hours of use and at 10,000 hours of use. Show your work. (4 points: 1 point for each of the four costs)
(I already found the zero hours, I just need help figuring out how to do the other part of the problem) Thanks SO much!
Answer:
I LOST ALL MY POINTS nnoo
40,000 80,000.
Step-by-step explanation:
have a nice day
Square one factor from column A and add it to one factor from column B to develop your own identity. (image attached) 60 points
Answer:
x^4+64 = x^2 -4x+8 * x^2 +4x+8
Step-by-step explanation:
3.75x - 1.5 = 40(Round your answer to the nearest tenth
Answer:
x = 11.1
Step-by-step explanation:
3.75x - 1.5 = 40
3.75x = 40 + 1.5
3.75x = 41.5
x = 41.5/3.75
x = 11.07
Rounded to nearest tenth: 11.1
Answer:
11.1
Step-by-step explanation:
3.75x - 1.5 = 40
+1.5 +1.5
3.75x/3.75 = 41.5/3.75
1x=11.1
x= 11.1
Based on the following data for Al-Aqsa Company: (5 Marks)
- Price = $10
- Average total cost = $6
- number of units produced = 1000 unit
Calculate
Profit per unit
The profit per unit with 1000 units to get the total profit which is $4000. This means that after all expenses and costs, Al-Aqsa Company has generated $4000 in profit by producing 1000 units.
To calculate the profit per unit, we need to use the formula of Profit per unit: Profit per unit = Price – Average total cost, Profit per unit = $10 - $6Profit per unit = $4Therefore, the profit per unit is $4. Since there are 1000 units produced,
we can calculate the total profit by multiplying the profit per unit by the number of units produced:Total profit = Profit per unit × Number of units produced
Total profit = $4 × 1000Total profit = $4000Therefore, the total profit for the company is $4000.
Al-Aqsa Company's profit per unit and total profit has been calculated using given data. Profit per unit is calculated using the formula of Profit per unit which is Price – Average total cost.
After putting values into the formula, we get Profit per unit which is $4. This means that every unit which Al-Aqsa company is producing, is generating profit of $4.
Therefore, if we multiply the profit per unit with the total number of units produced, we will get the total profit of the company. The total number of units produced by the company is 1000 units.
Hence, we multiplied the profit per unit with 1000 units to get the total profit which is $4000. This means that after all expenses and costs, Al-Aqsa Company has generated $4000 in profit by producing 1000 units.
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A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.2 centimeters in diameter. The variance of the bolts should be 0.025. A random sample of 15 bolts has an average diameter of 0.21 cm with a standard deviation of 0.1587. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.01 level? Step 1 of 5: State the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary. A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.2 centimeters in diameter. The variance of the bolts should be 0.025. A random sample of 15 bolts has an average diameter of 0.21 cm with a standard deviation of 0.1587. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.01 level? Step 2 of 5: Determine the critical value(s) of the test statistic. If the test is twotailed, separate the values with a comma. Round your answer to three decimal places. A bolt manufacturer is very concerned about the consistency with which his machines produce boits. The bolts should be 0.2 centimeters in diameter. The variance of the boits should be 0.025. A random sample of 15 bolts has an average diameter of 0.21 cm with a standard deviation of 0.1587. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.01 level?
To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).
Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.
Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).
If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.
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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).
Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.
Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).
If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.
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please help
A survey is taken at a movie theater in Winterville. The first 150 people who entered the theater were asked about their favorite type of movie. What is true about this situation?
The population is the first 150 people at the theater, and the sample is the total number of people who go to the movie theater.
The population is the number of people who go to the movie theater, and the sample is the number of people in the town of Winterville.
The population is the total number of people who go to the movie theater, and the sample is the first 150 people at the theater.
The population is the number of people in the town of Winterville, and the sample is the number of people who go to the movie theater.
The population is the total number of people who go to the movie theater, and the sample is the first 150 people at the theater is correct.
In this situation, the population refers to the entire group of individuals that are of interest to the survey. In this case, the population is the total number of people who go to the movie theater. The sample, on the other hand, refers to a subset of the population that is actually observed and surveyed. In this case, the sample is the first 150 people who entered the theater and were asked about their favorite type of movie.
It is important to note that the sample should be representative of the population in order to draw valid conclusions from the survey. This means that the individuals in the sample should be selected in a way that reflects the characteristics of the population as a whole.
In summary, the population in this situation is the total number of people who go to the movie theater, and the sample is the first 150 people at the theater who were asked about their favorite type of movie.
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Please help me with this problem I’m stuck :(
Answer:
a = 8
Step-by-step explanation:
a²+b² = c² (Pythagorean theorem)
a² is unknown and so it a
b = 6 and c = 10
a²+6²= 10²
a²+36 = 100
a² = 64
a = 8
Part I: What is the slope of the line passing through the points (6, 5) and (3, 1)? Show your work. (2 points)
Answer:
Step-by-step explanation:
HELP ME PLEASE I WILL GIVE BRAINLIEST!
Answer:
Step-by-step explanation:
Its D