Answer:
(c) Neither
Step-by-step explanation:
You want to know the kind of sequence that as terms 2, 7, 14, 23, 34, ....
DifferencesThe first differences of terms of this sequence are ...
7 -2 = 5
14 -7 = 7
23 -14 = 9
34 -23 = 11
These difference are not constant, so the sequence is not arithmetic.
These differences do not have a common ratio, so the sequence is not geometric.
Second differencesHowever, these differences do have a common difference:
7 -5 = 2
9 -7 = 2
11 -9 = 2
The fact that second differences are constant means this is a polynomial sequence of second degree. It is a quadratic sequence, neither arithmetic nor geometric.
__
Additional comment
The sequence is described by the quadratic equation ...
a(n) = n² +2n -1
14 workers can dig 9 m long trench in one day. How many workers would dig 27 m long trench of the same type in 1 day?
Answer:
42 workers
Step-by-step explanation:
27 divided by 9 = 3 (how much we need to multiply workers by)
14x3=42
Is y−4=3(x+1) an equation of a line through (-2, 1)? Explain.
Answer:
Yes
Step-by-step explanation:
(1)-4=3((-2)+1)
-3=3(-1)
-3=-3
The answer is yes because if you substitute x and y for -2 and 1 you can simplify the equation. Then you get the answer -3=-3 which means that the equation is equal.
I need help with this graph what is the root or factored form of this? Thank you!
Answer:
(2.5×20)2=100 then square root of 100;
✓100=10
Hence answer is 10
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The distance that Evan has left to hike is 13/30 mile.
How to calculate the distance left?From the information, Eva is hiking a real that has a length of 5/6 miles.
He has also hiked 2/5 miles. Therefore, in this situation, the distance that he has left will gotten by subtracting the fractions.
This will be:.
Distance left = Total distance - Distance hiked
Distance left = 5/6 - 2/5
= 25/30 - 12/30
= 13/30
The distance is 13/30 miles.
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Please Help ASAP!!!!!
Answer:
the forth (7,2).........
Nicole has $40 in a savings account. The account earns 5% simple interest. She wants to determine the amount in her account after 1 year if she makes no deposits or withdrawals.
Answer:
16
Step-by-step explanation:
40/5 then x the answer by 2 and you get 16 with now deposits or withdraws
Scores for a common standardized college aptitude test
are normally distributed with a mean of 507 and a
standard deviation of 104. Randomly selected students
are given a Test Preparation Course before taking this
test. Assume, for sake of argument, that the
preparation course has no effect.
If 1 student is randomly selected, find the probability
that their score is at least 555.3.
P(X> 555.3) =
The probability that their score is at least P(X> 555.3) = 0.8275
What is a normal distribution?
A continuous probability distribution for a real-valued random variable is called a normal distribution or a Gaussian distribution.
Here, we have
Let x denotes the score of a man.
standard deviation (σ) = 104
mean (μ) = 507
If 1 of the men is randomly selected, find the probability that his score is at least 553.5 will be :-
P(X > 553.5) = 1 - P(X ≤ x)
= 1 - P{((x - μ)/σ) ≤ (553.5 - 507/104)}
= 1 - P(z ≤ 0.447)
= 1 - 0.1725
= 0.8275
Hence, the probability that their score is at least P(X> 555.3) = 0.8275
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Solve the equation given a domain of {-3}.
3x - 2y = 5
The solution to the equations is y = -7
How to solve the equations using the domain of the replacement sets?From the question, we have the equation to be given as
3x - 2y = 5
The above equation is a linear equation
The domain or the replacement set is given as
{-3}
Rewrite properly as
Domain = {-3}
or
x = -3
So, we replace the variables using the elements in the replacement set
When x = -3, we have
3 x -3 - 2y = 5
Evaluate the products
This gives
-9 - 2y = 5
Add 9 to both sides
-2y = 14
Divide both sides by -2
y = -7
So, we have
x = -3 and y = -7
Hence, the solution to the equation is y = -7
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consider performing a partial f test to test for the inclusion of pctrush in the model. either in words or formula, what are the null and alternative hypotheses for this test?
The null and alternative hypothesis of the pctrush are explained below.
Given that;
By performing a partial F-test;
In hypothesis testing, the F test is a statistical test that is used to determine whether or not the variances of two populations or two samples are equal. The data in a f test follows a f distribution. In this test, two variances are divided and compared using the f statistic. Depending on the problem's characteristics, a f test can be either one- or two-tailed.
The one-way ANOVA (analysis of variance) test is run using the f value discovered after running the f test. More information on a f test, the f statistic, its critical value, formula, and how to perform a f test for hypothesis testing will be provided in this article.
The f test statistic is used in a test called the f test to determine if the variances of two samples (or populations) are equal. An f test needs a f distribution in the population and independent events for the samples in order to be valid. The null hypothesis can be rejected after conducting the hypothesis test if the f test results are statistically significant; otherwise, it cannot be rejected.
Null hypothesis:
The idea that there is no influence on the population is known as the null hypothesis.
We can reject the null hypothesis if the sample contains sufficient data to refute the assertion that there is no effect in the population (p). If not, we are unable to rule out the null hypothesis.
Although it may sound odd, statisticians only accept the phrase "fail to reject." Avoid using words like "prove" or "accept" when referring to the null hypothesis.
Alternative hypothesis:
The alternate response to your research question is the alternative hypothesis (Ha). It asserts that the populace is affected.
Your research hypothesis and your alternate hypothesis are frequently identical. It is, in other words, the assertion that you anticipate, or hope will be accurate.
The complement of the null hypothesis is the alternative hypothesis. The exhaustive nature of null and alternative hypotheses ensures that they account for all potential outcomes. Additionally, they are mutually exclusive, so only one of them can be true at once.
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HELPPP MEEeeeeeeeeee
please help me out. i’ll give brainliest
Answer:
y = -2x + 1
Step-by-step explanation:
y = mx + b you must find the m (slope) and the b (y intercept) to write the equation for the graph.
The slope is negative. If you start on the very left side of the graph and follow it, you will see that it goes in a down hill direction. That means that the slope is negative. If I start on the very left and the line goes up from there, the slope is positive. If the line is a straight horizontal line, then the slope is zero, it does not go up or down.
The slope is -2. Select one of the dots and travel to the next dot, but you can only move horizonaly and vertically. You cannot move diagonally. You will notice that the two closes dots are two units up (or down) and only 1 unit left (or right) depending on which dot you start at. Since you move 2 units up and 1 unit left that is a slope of 2. 2/1 = 2.
The b (y-intercept) is just where you see the line cross the y axis. It crosses it at 1.
Answer:
y = -2x + 1
Step-by-step explanation:
Slope intercept form: y= mx + bHere m is the slope and b is y-intercept.
Pick any two points on the line.
(-1,3) & (2,-3).
Find the Slope.
[tex]\sf \boxed{Slope =\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\sf = \dfrac{-3-3}{2-[-1]}\\\\=\dfrac{-6}{2+1}\\\\=\dfrac{-6}{3}\\\\=-2[/tex]
m = -2.
Equation of the line:
y = -2x + b
Substitute any one point in the above equation and find the y-intercept. (-1,3)
3 = -2*(-1) + b
3 = 2 + b
3 - 2 = b
b = 1
Equation of the line:
y = -2x + 1
Write an equation in slope-intercept form
to represent the relationship between x
and y shown in the table.
X
Y
-10 -5 0 5
55
20
-15
-50
10
-85
Answer:
665-09
Step-by-step explanation:
I need to know the constant of proportionality for each table and equation. I also need to know what the answer to the question on the bottom is.
Please show your work too. (Important)
The constant of proportionality for each table are 5, 2/3, 4, 1/5, 3, 2 and 1/2 while that of the equations are 1/8, 1/3 and 3/2
How to determine the constant of proportionality for each table and equation?
The constant of proportionality is the ratio of the y value to the x value i.e.
constant of proportionality(k) = y/x
To find the constant of proportionality for each table, just pick any non-zero corresponding x and y values on the table and find the ratio:
Using constant of proportionality(k) = y/x
1. y/x = 5/1 = 5
2. y/x= 4/6 = 2/3
3. y/x = 2/0.5 = 4
4. y/x= 2/10 = 1/5
5. y/x = 9/3 = 3
6. y/x = 8/4 = 2
7.y/x = 6/12 = 1/2
For the equations, just rewrite the equations in order to make y/x the subject:
8. y =1/8 x
y/x = 1/8
9. 6y = 2x
y/x = 2/6 = 1/3
10. 4y = 6x
y/x = 6/4 = 3/2
Therefore, the constant of proportionality for each table and equation are 5, 2/3, 4, 1/5, 3, 2, 1/2 and 1/8, 1/3, 3/2 respectively
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A box contains 3 red marbles and 4 black marbles. You simultaneously draw 3 marbles. What is the probability
that at least one marble is black?
A.4/35
B.34/35
C.19/21
D.None of the above
Answer:
Probably b or c. Not great with probabilities.
the little twelve basketball conference has two divisions, with six teams in each division. each team plays each of the other teams in its division twice and every team in the other division once. how many conference games are scheduled?
There are 96 basketball conference games are scheduled.
What is termed as the division?Multiplication is the reciprocal of division. If 3 groups of 4 add up to 12, then 12 classified into three groups of equal size results in 4 in each group. Developing equal groups or defining how many people are within each group after a fair distribution is the basic function of division.For the given question;
Every squad competes in ten games within its own division and six games against opponents from the opposing division. The 12 teams thus play a total of 16 conference games.There are N games on the schedule because there are two teams in each game.
N = 12×16/2
N = 96
Thus, there are 96 basketball conference games are scheduled.
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One of the support wires for a radio tower is
100 feet long. One end of the wire is 40 feet from
the base of the tower, as shown in the diagram
below.
Support wire
Note: The figure is not drawn to scale.
What angle (x), in degrees, does the support wire
make with the ground?
Using the trigonometry ratio, the value of angle x is 66.42°.
In the given question,
One of the support wires for a radio tower is 100 feet long.
One end of the wire is 40 feet from the base of the tower.
We have to find the angle (x), in degrees, that the support wire make with the ground.
To find the angle of x we use trigonometry ratio.
According to the ratio cosine is the ratio between base and hypotenuse.
So the formula is Cos x= B/H
where H = Hypotenuse
B = Base
From the given figure we know that, H=100 feet, B=40 feet
Now putting the value
Cos x= 40/100
Simplifying
Cos x = 2/5
Cos x = 0.4
So x = arccos(0.4)
x = 66.42
Hence, the value of angle x is 66.42°.
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The radius of a circle is 599 cm. What is the diameter of this circle?
Answer:
1,198 cm
Step-by-step explanation:
To find the diameter, use the formula d = 2r.
d = 2(599)
d = 1,198
what does the degree tell you about the zeros of the function of x^3+8x^2+11x-20?
Answer:
Step-by-step explanation:
the degree of the function , also means how many zeros , or roots, There will be.
Kylie just accepted a job at a new company where she will make an annual salary of $67000. Kylie was told that for each year she stays with the company, she will be given a salary raise of $3000. How much would Kylie make as a salary after 3 years working for the company? What would be her salary after t years?
The amount that Kylie make as a salary after 3 years working for the company is $76000.
Her salary after t years will be 67000 + 3000t.
How to calculate the value?In this situation, Kylie was told that for each year she stays with the company, she will be given a salary raise of $3000 every years.
Her salary after three years will be:
= $67000 + ($3000 × 3)
= $67000 + $9000
= $76000
Her salary after t years will be:
= 67000 + (3000 × t)
= 67000 + 3000t
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Using completing the square method to solve x^2-10x+25=0
The solution of the expression, [tex]x^{2} -10x+25 = 0[/tex], using completing the square method is [tex](x-5)^{2}[/tex].
According to the question,
We have the following expression:
[tex]x^{2} -10x+25 = 0[/tex]
Now, we will use completing the square method to solve this expression.
We will first try to convert the first and last term into perfect squares and rewrite the expression by splitting the middle term in multiplication of 2 and the squares .
[tex]x^{2}[/tex]-2*x*5+[tex]5^{2}[/tex] = 0
Now, we know that this expression fits in the identity:
[tex](a-b)^{2} = a^{2} +b^{2} -2ab[/tex]
In this case, we have a = x and b = 5
[tex](x-5)^{2}[/tex]
Hence, the solution of the expression, [tex]x^{2} -10x+25 = 0[/tex], using completing the square method is [tex](x-5)^{2}[/tex].
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A football team receives the ball on their
own 10 yard line.
a. They make a gain of 15 yards in the first play. What yard line is the ball on?
b. What represents zero in this situation? Explain.x
The summation of 10 yards line and 15 yard is 25 yards and the ball represents zero situation when the ball is in net and goals.
Given,
The team receives the ball on their own yards = 10 yards.
that is,
initial position of the ball = 10 yards.
Using summation, (the summation is to add or subtract any two numbers or more terms by doing operation, to get answer).
They make a gain of 15 yards in the first play.
Their final position in 10 yards plus 15 yards
= 10 + 15
=25 yards.
Therefore, the yard line is 25 yards.
The zero situation of the game is when the ball is in net and the player make a goal.
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Expand and simplify:
3(2p - 5) + 2(p + 3)
Answer:
8p - 9
Step-by-step explanation:
→ Expand brackets
6p - 15 + 2p + 6
→ Collect like terms
8p - 9
[tex]3\sqrt{6w-288[/tex]
What are some vocabulary words for slopes and equations in math?
Answer:
Vocabulary: slope and variable m rise over run slope formula y-intercept/variable b parallel lines and parallel equation perpendicular lines and perpendicular equatio Introduce or review key terms related to slope and angle: slope, grade, pitch, cardinal direction, slope angle, angle of depression/declination, and angle of elevation/inclination.
Simplify the power.
(-3x²y)^4
Using exponents, the resultant expression after simplification is 81x⁸y⁴.
What are exponents?The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.For instance, the number 6 is multiplied by itself four times, yielding 6 × 6 × 6 × 6. You can write this as 6⁴. In this case, the exponent is 4 and the base is 6.So, the expression is:
(-3x²y)⁴Now, simplify the power as follows:
(-3x²y)⁴(-3x²y)⁴ = (3x²y)⁴ (Exponent rule)3⁴(x²)⁴y⁴ (Exponent rule)81((x²)⁴y⁴ (3⁴ = 81)81x⁸y⁴Therefore, using exponents, the resultant expression after simplification is 81x⁸y⁴.
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I need some help with this question about graphed functions
The equation of the function graphed for 0 ≤ x ≤ 360 is
y = -1 + cos 2xWhat is transformation?Transformation is a term used in mathematics to refer to the movements made by objects.
Transformation that took place in the graph is of two types namely
translationvertical stretchThe translation involves moving the graph downward by 1 unit. This movement shifts the graph from running across the x axis to making x axis the crest
The vertical stretch is by a factor of 2. A complete cycle would have been rom 0 to 180. however two cycles are now covered within this period.
The graph is of showing cos x (blue) and y = -1 + cos 2x (red) is attached
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-4x+3y=2
3x-9y=3
Is (4,1) a solution of the system?
Answer:
not a solution
Step-by-step explanation:
we can just fill it in on both equations
-4(4)+3(1)=2
-16+3=2
-13=2
It doesn’t work for this equation so it’s not a solution
Hopes this helps please mark brainliest
Answer:
No
Step-by-step explanation:
For (4, 1 ) to be a solution then both equations must be true
substitute x = 4 and y = 1 into both equations
- 4(4) + 3(1) = - 16 + 3 = - 13 ≠ 2
3(4) - 9(1) = 12 - 9 = 3
Since both equations are not true then (4, 1 ) is not a solution of the system.
If your weekly salary is $1,015.00, how much do you have left each week after you pay for the following? Rent - $443.50 Cable TV -$23.99 Electricity - $45.62 Groceries - $124.87 ?
(need explanation.)
The variable p represents number of presents. If it takes 10 feet of ribbon to make 1 bow on a present and 3 feet is used to practice trying the bow, the expression 10p + 3 can be used. If there are 7 presents, how much ribbon is needed? Ribbon is sold in 15 feet packages. How many do you need to buy?
The number of ribbons needed is 73
The number of ribbons to buy is 109. 5
What is a function?A function can be described as an expression or rule that explains the relationship between two main variables in an equation.
These variables are called;
Independent variableDependent variableWe have the expression;
N = 10p + 3
Where 'p' represents the number of presents
N is the number of ribbons
Now, let's substitute the value of p as 7
N = 10(7) + 3
N = 70 + 3
N = 73 ribbons
If 10 feet = 73 packages
15 feet = x
cross multiply
x = 73(15)/10
x = 109. 5 ribbons
Hence, the value is 73
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at a bowling alley, the cost of shoe rental is $2.25 and the cost per game is $4.25. if f (n) represents the total cost of shoe rental and n games, what is the recursive equation for f (n)?
Answer:
The question is not complete so I am unsure what to solve for f(n)=$2.25x+4.25 or f(n)= $2.25x+4.25y
Step-by-step explanation:
Shoe rental $2.25
Per game $4.25
Depending on how many people are going to rent (x) and assuming they are only playing one game your equation would be
f(n)=$2.25x+4.25
However if the question does not state how many games are being played i would say
f(n)= $2.25x+4.25y