If f(a) = 3a – a2, which of the following are not true statements? Select all that apply. f(-5) = -40 f(4) = -4 f(-1) = 2 f(0) = 3 f(3) = 0
Answers
The true statements are f(-5) = -40, f(0) = 3 and f(3) = 0
How to determine the valueGiven the function;
f(a) = 3a – a2
For f(-5), we substitute the value of a as -5, we have
f(-5) = 3(-5) - (-5)²
f(-5) = -15 - 25
f(-5) = -40
For f(4), we have
f(4) = 3(4) = 3(16)
f(4) = 12 - 48
f(4) = -36
For f(-1), we have
f(-1) = 3(-1) - (-1)²
f(-1) = -3 - 1
f(-1) = -4
For f(0), we have
f(0) = 3(0) -(0)
f(0) = 0
For f(3), we have
f(3) = 3(3) - 3²
f(3) = 0
Thus, the true statements are f(-5) = -40, f(0) = 3 and f(3) = 0
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Related Questions
How can we ensure that we choose a sample of students that is representative of all 8:00 am classes that take place on a given morning?
Answers
By using a sampling technique we ensure that we choose a sample of students that is representative of all 8:00 am classes.
There are varieties of sampling strategies: chance sampling includes random selection, permitting you to make sturdy statistical inferences approximately the complete organization. Non-opportunity sampling entails non-random selection primarily based on convenience or different standards, permitting you to without problems gather records.
Random sampling is part of the sampling technique wherein every sample has an same possibility of being chosen. A sample chosen randomly is meant to be an unbiased representation of the overall population.
explanation;
we conclude the
6 buildings in the college 4 lecture halls in each building100 students in each lecture hallSince the students' lecture hallsare on different building the samples are
Dividing the students into groups, the students will be grouped by the buildings of their lecture halls.
The number of students in each building is:
There are 100 students in each building
Then select at random an equal proportion of student from each building let 20 students in each building.
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You own a farm and have several fields in which your livestock grazes. You need to order barbed-wire fencing for a small pasture that has a length of 5 yards and a width of 3 yards. The barbed wire must be long enough to be placed on all four sides of the outside pasture. How many yards of barbed-wire should you order?
Answers
Answer:
16 yards of barbed wire
Step-by-step explanation:
Length=5 yards
Width=3 yards
Perimeter of the pasture=2(length + width)
=2(5 yards +3 yards)
=2(8 yards)
=16 yards
You should order 16 yards of barbed wire for fencing the pasture
Put the following activities into order from CERTAIN at the top to IMPOSSIBLE at the bottom
CERTAIN
chose the order in which you placed
Explain how you
the activities.
=
A pig will fly past the window
Which ones are you
confident are in the correct place
=
The sun will set tonight
and why?
Which of the activities was it most difficult to place?
and it will land on tails
= A fair coin is flipped S
=
A fair six sided dice is rolled and lands on a number
less than 6
=
Someone you know will win the National Lottery
Submit
=
Someone in this class has the same birthday as
you
IMPOSSIBLE
Answers
The activities are in following order The sun will set tonight, A fair six-sided dice is rolled and lands on a number less than 6, A fair coin is flipped and it lands on tails, Someone you know will win the National Lottery, Someone in this class has the same birthday as you, A pig will fly past the window.
I am confident that the first three activities which are The sun will set tonight, A fair six-sided dice is rolled and lands on a number less than 6, A fair coin is flipped and it lands on tails, are in the correct order from certain to less certain, as they are all possible events, but their likelihood of occurring decreases in the given order.
It was most difficult to place the activity "A pig will fly past the window" as it is highly unlikely to happen, but still possible in some rare circumstances.
The last activity "Someone in this class has the same birthday as you" is impossible to place with certainty, as it depends on the size of the class and the number of people in it. It could be possible, but it is not a definite event.
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what is the appropriate t critical value for each of the fol- lowing confidence levels and sample sizes?
Answers
(a) the critical value of t at P = 10% and 16 degrees of freedom is 1.337.
(b) the critical value of t at P = 10% and 11 degrees of freedom is 1.363.
(c) the critical value of t at P = 1% and 23 degrees of freedom is 2.500.
(d) the critical value of t at P = 10% and 22 degrees of freedom is 1.321.
(e) the critical value of t at P = 20% and 12 degrees of freedom is 0.8726.
(f) the critical value of t at P = 5% and 8 degrees of freedom is 1.860.
We need to find the critical t value for every one of the accompanying confidence levels and test sizes given underneath.
As we realize that in the t table there are two segments. The flat section is addressed by the image P which addresses the level of importance and the upward segment is addressed by the image '' which addresses the degrees of freedom.
(a) In this way, here the level of importance = 1 - confidence level
= 1 - 0.90 = 0.10
What's more, the degrees of freedom = n - 1
= 17 - 1 = 16
Presently, in the t table, the critical value of t at P = 10% and 16 degrees of freedom is 1.337.
(b) Thus, here the level of importance = 1 - confidence level
= 1 - 0.90 = 0.10
Furthermore, the degrees of freedom = n - 1
= 12 - 1 = 11
Presently, in the t table, the critical value of t at P = 10% and 11 degrees of freedom is 1.363.
(c) Thus, here the level of importance = 1 - confidence level
= 1 - 0.99 = 0.01
Furthermore, the degrees of freedom = n - 1
= 24 - 1 = 23
Presently, in the t table, the critical value of t at P = 1% and 23 degrees of freedom is 2.500.
(d) In this way, here the level of importance = 1 - confidence level
= 1 - 0.90 = 0.10
Furthermore, the degrees of freedom = n - 1
= 23 - 1 = 22
Presently, in the t table, the critical value of t at P = 10% and 22 degrees of freedom is 1.321.
(e) Thus, here the level of importance = 1 - confidence level
= 1 - 0.80 = 0.20
Furthermore, the degrees of freedom = n - 1
= 13 - 1 = 12
Presently, in the t table, the critical value of t at P = 20% and 12 degrees of freedom is 0.8726.
(f) In this way, here the level of importance = 1 - confidence level
= 1 - 0.95 = 0.05
Furthermore, the degrees of freedom = n - 1
= 9 - 1 = 8
Presently, in the t table, the critical value of t at P = 5% and 8 degrees of freedom is 1.860.
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The complete question is:
What is the appropriate t critical value for each of the following confidence levels and sample sizes? (Round your answers to two decimal places.)
(a) 90% confidence, n = 17
(b) 90% confidence, n = 12
(c) 99% confidence, n = 24
(d) 90% confidence, n = 23
(e) 80% confidence, n = 13
(f) 95% confidence, n = 9
Solve for p.
i = prt
p = i-rt
p = (rt)/i
p = i/(rt)
Answers
Answer:
\( \sf p = \dfrac{i}{rt} \)
Step-by-step explanation:
Solve for p:
\( \longrightarrow \) i = prt
i = prt is equivalent to prt = i:
\( \longrightarrow \) prt = i
Divide both sides by rt:
\( \longrightarrow \) \( \sf \dfrac{prt}{rt} = \dfrac{i}{rt} \)
\( \sf \dfrac{prt}{rt} = p: \)
\( \longrightarrow \) \( \sf p = \dfrac{i}{rt} \)
Find the 50th term of the sequence
10,7,4,1,-2
Answers
Starting with the first term, 10, we can calculate the subsequent terms by subtracting 3 each time:
10, 7, 4, 1, -2, ...
To find the 50th term, we can use the formula for an arithmetic sequence:
nth term = first term + (n - 1) * common difference
In this case, the first term is 10, the common difference is -3 (since we are subtracting 3 each time), and we want to find the 50th term (n = 50).
50th term = 10 + (50 - 1) * (-3)
= 10 + 49 * (-3)
= 10 - 147
= -137
Therefore, the 50th term of the sequence is -137.
Starting from the first term, 10, and subtracting 3 successively, we can calculate the terms:
10, 7, 4, 1, -2, -5, -8, ...
We can observe that the sequence is formed by subtracting 3 from the previous term.
To find the 50th term, we can apply the pattern to the first term:
10 - (3 * (50 - 1))
Calculating the expression:
10 - (3 * 49) = 10 - 147 = -137
Therefore, the 50th term of the sequence is -137.
please solve this simultaneous equation
Answers
Answer:
b6 2hich method
Step-by-step explanation:
I solv3 this
If d = -3 what is the value of 15 - 3d ?
Answers
Answer:
24
Step-by-step explanation:
15 - 3d
Let d = -3
15 - 3(-3)
Multiply
15 +9
Add
24
Answer:
24
Step-by-step explanation:
15 - 3d
* plug in -3 *
15 - 3(-3)
simplify -3(-3)
-3(-3) = + 9
add
15 + 9 = 24
i'll mark u as brainliest
Answers
Answer:
y=x+40
Step-by-step explanation:
Better?
Answer: y = x + 40 (for the sake of this problem it’s y = 1x + 40)
calculate slope using y2-y1 / x2-x1
(2, 42) (3, 43)
43-42/3-2 = 1/1 so slope is 1
plug in a point to find b
y = x + b
42 = 2 + b
b = 40
y=x+40 final answer
Describe the difference between null vs alternative hypothesis
Answers
Statistical hypothesis testing employs the null and alternate hypotheses.
The alternative hypothesis of a test expresses the prediction of an effect or relationship based on your study, while the null hypothesis of the test does not yet predict an effect or an association between the variables.
A statement that there is no relationship between two variables is called a null hypothesis. Another hypothesis is that the two variables are statistically correlated.
Alternative unilateral (directional) or the bilateral (non-directional) hypotheses are also possible. Simple, complex, true, and false are the four main categories of null hypotheses. If the p-value is greater than the statistical significance level, null hypothesis is preferred.
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What alternatives did the colonists already try in their appeal to Great Britain, according to the text? A They have attempted to reason with the British as equal citizens. B They have pledged eternal loyalty to the crown, in hopes of perhaps gaining British favor. C They have tried many things, including minor insurrections and conflicts. D They have tried many things, including petitions, argument, and pleas to parliament and to the crown
Answers
Answer:D. They have tried many things, including, petitions, argument, pleas to parliament and to the crown
Step-by-step explanation:
polynomial derivatives in matlab consider the following polynomial: f(x,y) = 2x^2 + 3xy + 4
calculate the first derivative with respect to x, and the second derivative with respect to y. give your answer in the form [ 3 2 1 ] , without commas and with consistent spacing.
Answers
The first derivative of the polynomial f(x, y) = 2x^2 + 3xy + 4 with respect to x is [4 3y 0]. The second derivative of f(x, y) with respect to y is [0 3x 0].
The first derivative of f(x, y) with respect to x is obtained by differentiating each term of the polynomial with respect to x. The derivative of 2x^2 is 4x, the derivative of 3xy with respect to x is 3y, and the derivative of the constant term 4 is 0. Therefore, the first derivative is [4 3y 0].
The second derivative of f(x, y) with respect to y is obtained by differentiating each term of the first derivative with respect to y. Since the derivative of 4x with respect to y is 0, and the derivative of 3y with respect to y is 3x, the second derivative is [0 3x 0].
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Determine the relative frequency for the third class as a simplified fraction
Answers
GIVEN:
We are given a frequency distribution table showing different classes of hours of study and the frequency of each class of data.
Required;
To determine the relative frequency for the third class
Step-by-step solution;
For a relative frequyency, we need to find the number of times an event occurs and express it as a fraction of the total events that occured in the survey/experiment.
The events in this case are hours of study and the occurrence is the total frequency for all classes of hours of study.
The total frequency is;
\(3+10+6+15+6=40\)The relative frequency for the third class therefore would be;
\(\begin{gathered} Relative\text{ }Frequency_3=\frac{6}{40} \\ \\ Relative\text{ }Frequency=\frac{3}{20} \end{gathered}\)ANSWER:
The relative frequency of the third class therefore is
\(\frac{3}{20}\)how to find the general rule if common differences is -3
Answers
aₙ = a - 3(n-1) is the general rule of the given series.
If the common difference of an arithmetic sequence is -3, we can find the general rule using the following steps:
Write the first term of the sequence as "a".Write the common difference as "d = -3".Write the general formula for the nth term of an arithmetic sequence as:aₙ = a + (n-1)dSubstitute -3 for "d" in the formula:
aₙ = a - 3(n-1)
This is the general rule for an arithmetic sequence with a common difference of -3. To find a specific term, substitute the value of n into the formula and simplify.
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Triniti had $500 in a savings account at the
beginning of the summer. She wants to
have at least $200 in the account by the
end of the summer. She withdraws $25
each week for food, clothes, and movie
tickets. How many weeks can Triniti
withdraw money? Write an inequality you
could use to represent this problem.
please hurry
Answers
Answer: 12
Step-by-step explanation: by the end of 12 weeks shell have 200 dollars left
The ratio of a rectangle's length to its width
is 2 : 1. If the length is 14 cm, what is its
width?
Answers
Answer:
2/1 = 14/x
cross mulitply
2x=14
2x/2=14/2
x=7
The width is 7 cm
Step-by-step explanation:
2 Points
Is either x = 20 or x = 12 a solution to x-8 = 4?
A. x = 20 is a solution, but x= 12 is not.
O B. Neither is a solution.
O c. x = 12 is a solution, but x = 20 is not.
O D. They are both solutions.
Answers
plsplsplsplsplsplspslpslsplspslpslpslsplsplspslsp
Answers
Answer:
192
Step-by-step explanation:
Fist you do 4x6x4, then 6x8x2 and add em together and you get 192! :)
Answer:
208 cm
Step-by-step explanation:
Surface Area = 2(wl+hl+hw)
2(6 × 8 + 4 × 8 + 4 × 6)
2(48 + 32 + 24)
2(104) = 2 × 104
= 208 cm
A metallurgist needs to make 12.4 lb. of an alloy containing 50% gold. he is going to melt and combine one metal that is 60% gold with another metal that is 40% gold. how much of each should he use? show all work.
Answers
To find out how much of each metal the metallurgist should use to make the alloy, we can set up an equation based on the percentage of gold in each metal. Let's assume the metallurgist uses x pounds of the metal that is 60% gold, and y pounds of the metal that is 40% gold.
The metallurgist should use 6.2 pounds of the metal that is 60% gold and 6.2 pounds of the metal that is 40% gold to make 12.4 pounds of the alloy containing 50% gold.
The total weight of the alloy is 12.4 pounds, so we have the equation:
x + y = 12.4
Now, let's consider the percentage of gold in the alloy. The alloy needs to contain 50% gold.
The metal that is 60% gold will contribute 60% of x pounds of gold, which is 0.6x pounds of gold.
The metal that is 40% gold will contribute 40% of y pounds of gold, which is 0.4y pounds of gold.
Since the alloy needs to contain 50% gold, the total amount of gold in the alloy will be 50% of the total weight, which is 0.5 times 12.4 pounds:
0.5 * 12.4 = 6.2 pounds of gold
Now, we have another equation:
0.6x + 0.4y = 6.2
We have a system of two equations:
x + y = 12.4
0.6x + 0.4y = 6.2
To solve this system, we can use substitution or elimination. I will use the elimination method.
First, let's multiply the first equation by 0.4 to make the coefficients of y in both equations the same:
0.4(x + y) = 0.4 * 12.4
0.4x + 0.4y = 4.96
Now, we can subtract the second equation from this new equation to eliminate y:
(0.4x + 0.4y) - (0.6x + 0.4y) = 4.96 - 6.2
0.4x - 0.6x = -1.24
-0.2x = -1.24
x = -1.24 / -0.2
x = 6.2
Substituting this value of x back into the first equation:
6.2 + y = 12.4
y = 12.4 - 6.2
y = 6.2
So, the metallurgist should use 6.2 pounds of the metal that is 60% gold and 6.2 pounds of the metal that is 40% gold to make 12.4 pounds of the alloy containing 50% gold.
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which equation can be used to find t the total price of the feed?
Answers
Answer:
t=p(unit pf weight)
Step-by-step explanation:
t=plbs
total price is the price time the lbs of feed
(unit of weight may change) depending on question
a deck of playing cards has 52 cards of which 12 are face cards what are the odds the top 3 are face cards
Answers
In a deck of playing cards has 52 cards of which 12 are face cards, The odds are 33 / 3315 or 0.01 that the top 3 are face cards.
The total number of cards was 52, and there were 12 face cards.
Probability equals the number of possible outcomes divided by the total number of possibilities.
The first attempt had a probability of 12/52,
the second attempt had a probability of 11/51,
and the third attempt had a probability of 10/50.
Therefore, the probability that each of the three cards are face cards is equal to 12 / 52 × 11 / 51 × 10 / 50 = 1320 / 132600 = 132 / 13260 = 33 / 3315
the probability that all three are face cards = 0.00995475113 ≈ 0.01
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Xy and bd are parallel lines. x is a point ab and c is a point on bd. xb = xc
Answers
Graph the function.
y = 3 square root x
Answers
Answer:
x=3×3
Step-by-step explanation:
ok it's fine if you don't mind
f(x)=5sinx+cosx then f ′
(x)=−5cosx−sinx Select one: True False
Answers
False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.
To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).
Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.
Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:
f'(x) = 5cos(x) - sin(x).
This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).
In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).
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n a cookie recipe, there are 3 parts ugar and 2 parts flour. For every cup of our, how much sugar do you need?
Answers
Answer: For every cup of flour we need 2/3 cups of sugar.
For every cup of sugar you need 3/2 cups of flour.
Step-by-step explanation:
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 23 ft long and 15 ft wide. If the gardener wants to build a fence around the garden, how many feet of fence are required? (Use the value 3.14 for 1, and do not round your answer. Be sure to include the correct unit inyour answer.)15 ft23ft
Answers
Answer:
\(99.55ft\)Explanation:
We were given the following information:
A rose garden is formed by joining a rectangle and a semicircle, as shown below:
Rectangle: Length = 23 feet, Width = 15 feet
Semicircle: Diameter = 15 feet; radius = Diameter/2 = 15/2 = 7.5 feet
Pi = 3.14
We will calculate the perimeter of the garden as shown below:
\(\begin{gathered} Perimeter_{garden}=Perimeter_{rectangle}+Perimeter_{semicircle} \\ Perimeter_{rectangle}=2(length+width)=2(23+15)=2(38)=76ft \\ Perimeter_{semicircle}\Rightarrow\frac{1}{2}Perimeter_{circle}\Rightarrow\frac{1}{2}\times2\pi r=\pi r=3.14\times7.5=23.55ft \\ Perimeter_{garden}=76+23.55=99.55 \\ Perimeter_{garden}=99.55ft \\ \\ \therefore Perimeter_{garden}=99.55ft \end{gathered}\)Therefore, the gardener will need to build a fence of length 99.55 feet
How do you find the x intercept of the equation
-2x + 3y=-12
Please help
I’m so confused
Will mark brainliest
Answers
Answer:
y=6
Step-by-step explanation:
Im assuming this is standard form. Simply set the y value to 0, and solve for x.
-2x+3(0)=-12
This can be rewritten as:
-2x=-12
divide by its coefficient, (-2)
y=6
I hope this helped you :)
i have trouble understanding i’ll give whoever gives the correct answers brainlist
Answers
Using percentages we know that approximate 65% of people do not like both hamburgers and burritos.
What do we mean by percentages?A number or ratio that can be expressed as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The percentage, therefore, refers to a part per hundred. Per 100 is what the word percent means.So, first, let's fill in the values in the table as follows:
People who like hamburgers: 77 - 38 = 39People who do not like hamburgers: 128 - 95 = 33Total = 134 + 71 = 205 = 128 + 77Percentage of people who do not like hamburgers and burritos:
(95 + 38)/205 × 100133/205 × 10064.87Rounding off: 65%
Therefore, using percentages we know that approximate 65% of people do not like both hamburgers and burritos.
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What is the percent increase when 7,200 increases by 1,800? help asap
Answers
Answer:
1,800/7,200 as a percentage is 1/4 which is 25%.
Answer: 25%.
Step-by-step explanation:
because 1,800/7,200 as a simplyfly fraction
will be 1/4 and if you make it in persant it will be 25%
Hope this helps :)
Solve ax + b = cx + d for x.
(Hint: Use the distributive property, where ax + bx = x(a + b).)
Answers
Answer: X = (d-b) / (a-c)
This way this worded is weird but I think I got it
Step-by-step explanation:
Subtract B from both sides
ax = cx +d -b
Then subtract CX from both sides
ax -cx =d-b
Distributive Property
x(a-c) =d-b
Divide both sides by a-c
X = (d-b) / (a-c)