How does g(x)=8x change over the interval from x=3 to x=5?
Answers
The function g(x) = 8x is increasing over the interval from x=3 to x=5.
The graph of the function g(x) = 8x is shown below.
We can observe that the graph of g(x) is a staright line passing through origin (0, 0)
This means that the function g(x) is a linear function.
For x = 3, the value of function would be,
g(3) = 8 × (3)
g(3) = 24
And for input value x = 5, the value of function would be,
g(5) = 8 × (5)
g(5) = 40
This means that the value of function g(x) increases from x = 3 to x = 5
Also, from the graph the function g(x) is increasing over the interval [3, 5]
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Related Questions
A bar of cast iron 18.125" long has been tapered from a diameter of 0.983" to a diameter of 2.74". What is the difference in diameter between the two ends?
Answers
Answer:
The difference in diameter between the two ends is 1.757''
Step-by-step explanation:
Given;
length of a bar of cast iron, L = 18.125"
initial diameter of the bar, d₁ = 0.983"
final diameter of the bar, d₂ = 2.74"
The difference in diameter between the two ends of the bar is calculated as;
difference in diameter = d₂ - d₁
difference in diameter = 2.74" - 0.983"
difference in diameter = 1.757''
Therefore, the difference in diameter between the two ends is 1.757''
A newly drilled water well produces 50,000 quarts of water per week. With no new water feeding the well, the production drops by 5% per year. Using 52 weeks in a year, what is the total number of quarts of water that can be drawn from this water well before it goes dry?
Answers
Answer:
Total amount of water = 5,200,000
Step-by-step explanation:
Given:
water produced = 50,000 quarts of water per week
Production drop = 5% = 0.05 per year
Number of week in year = 52 week
Find:
Total amount of water
Computation:
Sum = a / r
a = 50,000 x 52
a = 2,600,000
Sum = a / [1-r]
Sum = 2,600,000 / 5%
Sum = 2,600,000 / 0.05
Total amount of water = 5,200,000
The following are the amounts of time, in minutes, that it took a random sample of 20 technicians to perform a certain task: 18.1, 20.3, 18.3, 15.6, 22.5, 16.8, 17.6, 16.9, 18.2, 17.0, 19.3, 16.5, 19.5, 18.6, 20.0, 18.8, 19.1, 17.5, 18.5, and 18.0. Assuming that this sample came from a symmetrical continuous population, use the sign test at the 0.05 level of significance to test the null hypothesis that the mean of this population is 19.4 minutes against the alternative hypothesis that it is not 19.4 minutes. Perform the test using(a) Table I;(b) the normal approximation to the binomial distribution.Rework Exercise 16.16 using the signed-rank test based on Table X.
Answers
Since the test statistic (-2.24) falls outside the range of the critical values (-1.96 to 1.96), we reject the null hypothesis.
What is sign test?
The sign test is a non-parametric statistical test used to determine whether the median of a distribution is equal to a specified value. It is a simple and robust method that is applicable when the data do not meet the assumptions of parametric tests, such as when the data
The given problem can be solved using the one-sample sign test to test the null hypothesis that the mean of the population is 19.4 minutes against the alternative hypothesis that it is not 19.4 minutes.
(a) Using Table I:
Step 1: Set up the hypotheses:
Null hypothesis (H0): The mean of the population is 19.4 minutes.
Alternative hypothesis (H1): The mean of the population is not 19.4 minutes.
Step 2: Determine the test statistic:
We will use the sign test statistic, which is the number of positive or negative signs in the sample.
Step 3: Set the significance level:
The significance level is given as 0.05.
Step 4: Perform the sign test:
Count the number of observations in the sample that are greater than 19.4 and the number of observations that are less than 19.4. Let's denote the count of observations greater than 19.4 as "+" and the count of observations less than 19.4 as "-".
In the given sample, there are 5 observations greater than 19.4 (18.1, 20.3, 19.3, 19.5, and 20.0), and 15 observations less than 19.4 (18.3, 15.6, 16.8, 17.6, 16.9, 17.0, 16.5, 18.6, 18.8, 19.1, 17.5, 18.5, and 18.0).
Step 5: Calculate the test statistic:
The test statistic is the smaller of the counts "+" or "-". In this case, the test statistic is 5.
Step 6: Determine the critical value:
Using Table I, for a significance level of 0.05 and a two-tailed test, the critical value is 3.
Step 7: Make a decision:
Since the test statistic (5) is greater than the critical value (3), we reject the null hypothesis.
(b) Using the normal approximation to the binomial distribution:
Alternatively, we can use the normal approximation to the binomial distribution when the sample size is large. Since the sample size is 20 in this case, we can apply this approximation.
Step 1: Set up the hypotheses (same as in (a)).
Step 2: Determine the test statistic:
We will use the z-test statistic, which is calculated as (x - μ) / (σ / √n), where x is the observed number of successes, μ is the hypothesized value (19.4), σ is the standard deviation of the binomial distribution (calculated as √(n/4), where n is the sample size), and √n is the standard error.
Step 3: Set the significance level (same as in (a)).
Step 4: Calculate the test statistic:
Using the formula for the z-test statistic, we get z = (5 - 10) / (√(20/4)) ≈ -2.24.
Step 5: Determine the critical value:
For a significance level of 0.05 and a two-tailed test, the critical value is approximately ±1.96.
Step 6: Make a decision:
Since the test statistic (-2.24) falls outside the range of the critical values (-1.96 to 1.96), we reject the null hypothesis.
Rework Exercise 16.16 using the signed-rank test based on Table X:
To provide a more accurate solution, I would need additional information about Exercise 16.16 and Table X.
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Need help I'll give branlist plzzzz
Answers
B) The formula of a cylinder is pi r^2
π(7)^2
Area= 49 π
What is the image of (2,3)(2,3) after a reflection over the line y=-xy=−x?
Answers
Answer:
The image of (2,3) after a reflection over the given line will be: (-3,-2)
Step-by-step explanation:
The given point is (2,3)
Let (x,y) be a point, when it will be reflected over the line y=-x the coordinates are exchanged and are negated i.e. point (x,y) becomes (-y,-x)
When a point is reflected over a line the distance between the image of point and the line remains the same as the distance between original point and line.
Given point will become: (-3,-2)
Hence,
The image of (2,3) after a reflection over the given line will be: (-3,-2)
Answer:
(−2,3)
Step-by-step explanation:
im just assuming that its was and accedent to add extra
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Identify the type of angles and their relationship (are they congruent? supplementary?...) Write and solve an equation that shows that relationship (are they equal to each other or do they, together, equal 180 degrees?).
Answers
Answer:
These are same side interior angles, they are supplementary, and the equation that I would write is (x+73)+(x+113)=180. I hope that helped!
Step-by-step explanation:
If f (x) = -2x-3 and g (x) =x^2+5x find g (2) -f(3)
Answers
f(3)=-2(3)-3=-9
g(2)-f(3)=14-(-9)=14+9=23
The fifth grade has 152 students. Each student has 18
pencils. About how many pencils do the students have altogether?
Answers
There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
Total number of students in 5th grade = 152
Amount of pencil each student have = 18
Then, the total number of pencils altogether,
= 152 × 18
= 2,736 pencils.
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What is the conversion of 2/5 in decimal ?
Answers
The conversion of a fraction number with denominator 5 and numerator 2 , 2/5 in decimals is equals to the 0.4 value.
A decimal number can be defined as a number whose whole number part and fractional part are separated by a decimal point. Writing 2/5 as a decimal number by converting the denominator to powers of 10. We multiply the numerator and denominator by a number so that the denominator is a power of 10.
2/5 = (2 × 2) / (5 × 2) = 4/10
Now move the decimal point to the left as many places as there are zeros in the denominator, which is a power of 10.
The decimal moved one place to the left because the denominator was 10. Therefore, 4/10 = 0.4. Hence, required value is 0.4.
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b) Here are the first four terms of a quadratic sequence.
The nth term of this sequence is an^2 + bn + C.
1
11
27
49
Find the values of a, b and c.
Answers
Find answer is the given attachment
PLS HELP I'LL DIRECTLY MARK YOU BRAINLIST !!!
Answers
Answer:
\(12 \div \frac{3}{4} = 12 \times \frac{4}{3} = 12 \times 4 \div 3 = 4 \times 4 = 16 \\ 16 \times 5 = 80 \: ft \: \)
first you must know how many 3/4 do you have
because of scale
and after that multiply to 5 to get actual length
1) a survey was done among 50 teens between 14 and 18 to document the amount of vegetables they eat. the survey reported these adolescents are eating an average of 1.5 cups of vegetables, with a variance of 0.56. based on this survey, what would you estimate for the average cups of vegetables eaten for the entire population of american teens between 14 and 18 and the standard error?
Answers
The standard error is 0.105.
The standard error is an important statistical measure and it is related to the standard deviation. The accuracy of a sample that represents a population is known through this formula. The sample mean deviates from the population and that deviation is known as standard error formula. In statistics, the word sample refers to the specific group of data that is collected. For example, the sample may be the data we collected on the height of players on the school’s team. A population is an entire group from which we take the sample. There are many ways to define a population, and we always need to be very clear about what is the population. Many computations are required for this collection.
In order to determine how well the sample is representing the population, we need to go out and measure the standard error in the specific measurements. Standard Error is telling how well the sample mean estimates the true population means. A large standard error will indicate that there is a lot of variability in the population. A small standard error would mean that the population is in a uniform shape.
Sample space = n = 50
Mean = μ = 1.5
Variance = σ² = 0.56
∴ Standard deviation = σ = √0.56 = 0.748
Standard error = σ/√n
= 0.748/√50
= 0.105
Thus, the standard error is 0.105.
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Five cats each ate 1/4 cup of cat food. Four other cats each ate 1/3 cup of cat food. How much food did the nine cats eat?
Answers
Answer:
31/12 cup of cat food
Step-by-step explanation:؟؟
Answer: \(2\dfrac{7}{12}\) cups
Step-by-step explanation:
5 cats each ate 1/4 cup and 4 cats each ate 1/3 cup.
The total the 9 cats ate is:
\(5\bigg(\dfrac{1}{4}\bigg)+4\bigg(\dfrac{1}{3}\bigg)\\\\\\=\dfrac{5}{4}+\dfrac{4}{3}\\\\\\\dfrac{5}{4}\bigg(\dfrac{3}{3}\bigg)+\dfrac{4}{3}\bigg(\dfrac{4}{4}\bigg)\\\\\\=\dfrac{15}{12}+\dfrac{16}{12}\\\\\\=\dfrac{31}{12}\\\\\\=\large\boxed{2\dfrac{7}{12}}\)
Needed help with this part of the homework. Am i headed in the right direction? Having trouble finding the range as well
Answers
Given -
Where b>1
To Find -
a. Which is the graph of f(x) = -bˣ
b. Which is the graph of f(x) = b-ˣ
c. For which graph(s) is the range (-∞, 0)
Step-by-Step Explanation -
a. Since b > 1
So, bˣ will be positive
f(x) = -bˣ will be negative.
So,
The correct Option is B.
b. f(x) = b-ˣ
So, b-ˣ will be positive
Also, in -x will tends to 1
So,
The correct Option is A
c. Range of (-∞, 0)
So,
we can observe the value of y tending to -∞ in graphs B and D.
Final Answer -
a. Option B
b. Option A
c. Options B and D
Assume that Y is nermaly distributed N(ψ, α
2
) Moving from the mean (μ)1.96 standard deviations to the left and 1.96 standard deviations to the right, then the area under the normal p. d.f. is: A. 0.05 B. 0.33 c. 0.67 b. 0.05
Answers
The area under the normal probability density function (p.d.f.) within 1.96 standard deviations of the mean on both sides is approximately 0.95.
In a normal distribution, the area under the p.d.f. curve represents probabilities. The area between the mean and 1.96 standard deviations to the left or right represents approximately 95% of the data. Since the normal distribution is symmetrical, we can split this area equally on both sides, resulting in approximately 0.475 (or 47.5%) on each side.
To calculate the total area, we add up the areas on both sides: 0.475 + 0.475 = 0.95. This means that 95% of the data falls within the range of 1.96 standard deviations from the mean. Consequently, the remaining 5% is distributed outside this range (2.5% to the left and 2.5% to the right). Therefore, the correct answer is A. 0.05, which corresponds to the area outside the range of 1.96 standard deviations from the mean.
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60PTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS HELP IMA FAIL
1.Which recursive formula fits the following pattern?
50, 25, 12.5, 6.25, 3.125...
A(n+1) = A(n) ÷ 2, A(1) = 50
A(n+1) = A(n) − 2, A(1) = 50
A(n+1) = A(n) ÷ 50, A(1) = 50
A(n+1) = A(n) − 50,A(1) = 50
2.
What does a7 mean?
3.
Write a Recursive and Explicit Sequence for the following pattern.
1, 5, 9, 13, 17...
4.What are the first 5 terms in the following recursive sequence?
A(n+1) = A(n) × 3 A(1) = 2
5.
Which Explicit formula would fit this pattern?
3,7,11,15,19...
*Remember, you can check by plugging in the term numbers to see if you get the correct output*
Answers
1. Answer:
i dont know
Step-by-step explanation:
they didnt teach me this
2. Answer:
a7 means what ever a is you have to multiply it by 7
Step-by-step explanation:
When ever you see a letter infornt or followed by a number you always multiply it by the number.
3. Answer:
1, 5, 9, 13, 17, 21, 25, 29, 33, ect.
Step-by-step explanation:
Just keep adding four
5. Answer:
3, 7, 11, 15, 19, 23, 27, 31, ect.
Step-by-step explanation:
Just keep adding four
Answer:
1) A(n+1) = A(n) ÷ 2, A(1) = 50
2) 7 multiplied by a.
3) 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, .... (add 4 each time)
4) A(n+1)=A(n) x 3A(1)=2
2, 5, 8, 11, 14
5) 3, 7, 11, 15, 19,... A(n+1)=A(n)+4, A(1)=3
Step-by-step explanation:
PLEASE URGENT HELP NEEDED
Answers
Answer:
l think the answer is A. 20 sorry lf I am wrong
Write an explicit formula for an, the nth term of the term of the sequence 4, -2, 1, ....
Answers
Answer:
24
Step-by-step explanation:
369121518212427303336
Give two more examples of irrational numbers between 10 and 11.
Answers
Find the sum.
(9-6m) + (12m - 8)
Answers
Answer:
Step-by-step explanation:
the answer is (6m+1). Hope i helped :)
The answer to which situation is best estimated
by-7?
A The temperature falls 1.9°F from 4.3°F.
B A hot-air balloon rises 4.1 meters from the ground
and then rises 2.3 meters more.
C A submarine goes 3.8 feet below the surface of the
ocean and then goes 2.5 feet farther down.
D The amount of money Sarah has after she buys milk
for $3.85 and bread for $2.45.
Answers
Answer:
I think it is C
Step-by-step explanation:
Bet you 100% you are new or your account got deleted
is a fraction a term? If it's not a term, why is it that we can apply the distributive property to it? the distributive property only works for either terms, or addition and subtraction. a fraction is technically division, so why does it work? Please help!!!!!
Answers
No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.
A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.
The distributive property states that for any real numbers a, b, and c:
a × (b + c) = (a × b) + (a × c).
When working with fractions, we can apply the distributive property as follows:
Let's consider the expression: a × (b/c).
We can rewrite this as: (a × b)/c.
Now, let's distribute the 'a' to 'b' and 'c':
(a × b)/c = (a/c) × b.
In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.
Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.
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NEED HELP ASAP ON TIMER 30 MINUTES LEFT
find the least common multiple (lcm) of:
25y^5 and 5xy and 2x^3y
Answers
Answer:
50 x^3 y^2
Step-by-step explanation:
25y^5 = 5*5 * y*y
5xy = 5*x*y
2x^3y = 2*x*x*x*y
The least common multiply is found by taking the least number of times each appears
5 appears 2 times
2 appears 1 time
x appears 3 times
y appears 2 times
5*5*2 * x*x*x * y*y
50 x^3 y^2
Answer:
50 x^3 y^2
Step-by-step explanation:
25y^5 = 5*5 * y*y
5xy = 5*x*y
2x^3y = 2*x*x*x*y
The least common multiply is found by taking the least number of times each appears
5 appears 2 times
2 appears 1 time
x appears 3 times
y appears 2 times
5*5*2 * x*x*x * y*y
50 x^3 y^2
Which equation properly demonstrates the Identity Property of Addition?
A| 8+ (-8) =0
B| 2/3 + 0 = 2/3
C| 1/4 x 4/1 = 1
D| -8 x 1 = -8
Answers
This is because adding the additive inverse (-8) to a number (8) results in the identity element of addition (0).
Which graph represents the function f(x) = 3x-2/X-2
Answers
Answer:
Step-by-step explanation:
It takes a smaller hose twice as long to fill a certain swimming pool as it does a larger hose. It takes both hoses working together 35 minutes to fill the pool. How long will it take the larger hose to fill the pool by itself
Answers
Answer: This has no answer
Step-by-step explanation:
The human brain cannot answer this……
Triangle BCD is similar to triangle EFG. Find the measure of side EF. Round your answer to the nearest tenth. Figures are not drawn to scale. E G D9 X 43 19 F B
Answers
The ratio of the corresponding sides of two similar triangles is equal. Since traingles BCD and EFG are similar, we can write
\(\begin{gathered} \frac{BC}{EF}=\frac{CD}{FG} \\ \frac{19}{x}=\frac{9}{43} \\ x=19\times\frac{43}{9} \\ x=90.8 \end{gathered}\)Write a proof for the statement.
If a quadrilateral is a square, then the quadrilateral is a rectangle.
Answers
52x+3 =
3x+2+4x-3-5x-1=
x-5x+4=
Answers
Answer:
x= -3/52
x= 2
x= -1
Step-by-step explanation:
number 1
52x+3=0
52x=-3
x=-3/52
number 2
2x+2+4x-3-5x-1=0
x-2=0
x=2
number 3
x-5x+4=0
4x+4=0
4x=-4
x=-1
I need help please, thank you
Answers
Answer:
A. (-2,0)
Step-by-step explanation:
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have a good day! :)
Answer:
Option A, x = -2, y = 0
Step-by-step explanation:
2x + 3y = -4
2x +3(2x + 4) = -4
2x + 6x + 12 = -4
8x + 12= -4
8x = -4-12
8x = -16
x = -2
Plug x as -2 in one of the equation
y = 2x + 4
y = 2(-2) + 4
y = -4 + 4
y = 0