the 96th term of the arithmetic sequence 3, -14, -25 is -1048.
What is an arithmetic sequence?An arithmetic sequence is an ordered set of numbers that have a common difference between each consecutive term.
The general form of an arithmetic sequence is
aₙ = a₁ + d(n-1)
where aₙ is the nth term, a₁ is the initial term, and d is the common difference.
Given that n =96, a₁=-3, and d = -11
Substituting these value in the above equation
a₉₆ = -3 - 11(96-1) = -3 - (11*95) = -3-1045 = -1048
Hence, -1048 is the 96th term of the given arithmetic sequence.
To learn more about arithmetic sequence, use the link given below:
https://brainly.com/question/15412619
#SPJ1
Jessica is a Custodian at an oracle Arena. She waxes 20m^2 of the floor in 3/5 of an hour. Jessica waxes the floor at a constant rate. How many square metres can she wax per hour?
Answer:
Step-by-step explanation:
Just multiply how much she waxes in 3/5 hour by 5/3. Answer is 100/3 or 33.33 sq. meters per hour
help me out? thank you so much whoever does :))
Answer:
\(86\)
Step-by-step explanation:
The remaining part forms 360. so
\(233 + 41 + x = 360\)
\(274 + x = 360\)
\(x = 86\)
Answer:
if you’re looking for b,
B = 86
sorry if wrong
This table shows the amount a store in
Indiana charges customers on selected purchases.
Price of Item
$40.00
$65.00
$125.00
$210.00
Price
Including
Sales Tax
$42.80
$69.55
$133.75
$224.70
Use the table to determine the Indiana
Which of the following segments is a diameter of O?
Answer:
AB
Step-by-step explanation:
The diameter has to pass through the center of the circle and tough the outside of the circle on both ends
The diameters are
DE and AB
They can also be written as
ED and BA
Answer:
option A : AB
Step-by-step explanation:
The diameter is the length of the line through the center that touches two points on the edge of the circle.
Both AB and DE are diameters.
Therefore, Option A : AB
What is the line of x =- 2?.
Precalculus is an example here, since x=−2 is a vertical type line, there is no y-intercept as well as the slope is undefined.
The slope is undefined and all of the factors on the road have an x-coordinate of that (a few number). For example, if x = -2, then all factors alongside this line can have an x-coordinate of -2, making it a vertical line. y=−2 is a flat line crossing the factor at (0,−2) consequently the gradient is 0 and the the y intercept is -2.
A terrible slope approach that variables are negatively related; that is, whilst x increases, y decreases, and whilst x decreases, y increases. Graphically, a terrible slope approach that as the road on the road graph movements from left to right, the road falls. The x-coordinate -2 is represented throughout. This is NOT a function.
Learn more about line intercept: brainly.com/question/24990033
#SPJ4
pls, help (20 points) All of the following equations have the same solution except _____.
All of the aforementioned equations have the same solution except: C. y/3 - 5 = -5.
What is zero solution?In Mathematics, an equation is said to have zero solution or no solution when the left hand side and right hand side of the equation are not the same or equal when simplified.
This ultimately implies that, an equation would have zero solution or no solution when both sides of the equal sign are not the same and the variables cancel out when simplified.
How to determine the solution to this equation?From the information provided, we have the following equation:
y/-1 - 6 = -5
Adding 6 to both sides of the equation, we have:
y/-1 - 6 + 6 = -5 + 6
y/-1 = -1
Multiplying both sides of the equation, we have:
-1 × (y/-1) = 1 × -1
y = -1.
-y + 4 = 5
Rearranging the equation by collecting like terms, we have:
y = 4 -5
y = -1
y/3 - 5 = -5
Adding 5 to both sides of the equation, we have:
y/3 - 5 + 5 = -5 + 5
y/3 = 0
y = 0 (different solution).
2y - 5 = -7
Adding 5 to both sides of the equation, we have:
2y - 5 + 5 = -7 + 5
2y = -2
Dividing both sides of the equation by 2, we have:
y = -2/2
y = -1.
Read more on equation here: brainly.com/question/28949611
#SPJ1
Can somebody help me with 7 and 8
The vertices of parallelogram MNOP after a rotation of 180° are: M' (-1, -7), N' (-8, -5), O' (-4, -2), and P' (3, -4).
A counterclockwise rotation of 270° to triangle GHI would produce an image with this vertices: G' (-2, 0), H' (-6, -7), and I' (-8, -3).
How to determine the vertices of the image?In this exercise, you are required to rotate parallelogram MNOP by 180° and triangle GHI by 270° in a counterclockwise direction. In Geometry, the rotation of parallelogram MNOP 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the vertices (-x, -y):
(x, y) → (-x, -y)
Point M' = (1, 7) → Point M' = (-(1), -(7)) = (-1, -7).
Point N' = (8, 5) → Point N' = (-(8), -(5)) = (-8, -5).
Point O' = (4, 2) → Point O' = (-(4), -(2)) = (-4, -2).
Point P' = (-3, 4) → Point P' = (-(-3), -(4)) = (3, -4).
In Geometry, the rotation of triangle GHI by 270° about the origin in a counterclockwise direction would produce a point that has the vertices (y, -x):
(x, y) → (y, -x)
Points at G = (0, -2) → Points at G' = (-2, 0)
Points at H = (7, -6) → Points at H' = (-6, -(7)) = (-6, -7).
Points at I = (3, -8) → Points at I' = (-8, -(3)) = (-8, -3).
Read more on rotation here: brainly.com/question/28515054
#SPJ1
show that x=(y+z) on an angle
10 POINTS!!!!!!!!
The angle x° =( y+z )° using parallel lines theorem
What are parallel lines?parallel lines are coplanar infinite straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet.
When a line is used to cross 2 parallel lines, angles are formed and these angles are equal based on some properties.
To prove that x° = (y+z)°
Bisect angle x° into two equal part x1 and x2
y = x1 ( alternate angles are equal)
z = x2 ( corresponding angles are equal)
x1+x2 = x
since x1 = y and x2 = z
we can therefore say x1+x2 = y+z
y+z = x
x° = (y+z)°
learn more about parallel lines from
https://brainly.com/question/24607467
#SPJ1
The perimeter of a rectangle is 61 centimeters. The length is 4.1 centimeters longer than the width, w. Which equation can be used to find the width of this rectangle?
Answer:
P=2(length+width)
the length is 4.1 cm more than the width: l=4.1+w
61=(2(4.1+w+w))
61=8.2+2w+2w
61-8.2=4w
4w=52.8
w=13.2
Answer:
14 46\14
Step-by-step explanation:
p=L+W
p=61
L=4.1
W=?
61=4.1+W
61=4.1W
61\4.1=4.1\4.1
=14 46\14
An investor purchased 50 shares ofstock in a company for $40 pershare. One year later, the investorsold all the shares for $2,200. Whatis the investor's rate of return?A. 9.1%B. -9.1%C. -10.0%D. 10.0%
Investor purchased 50 shares of stock in a company for $40.
So, the total initial amount he invested is
\(50\cdot40=2000\)Then the rate of return is:
\(\begin{gathered} \text{rate of return=}\frac{shares\text{ sold price-initial amount invested}}{\text{ initial amount invested}}\cdot100 \\ =\frac{2200-2000}{2000}\cdot100 \\ =\frac{200}{2000}\cdot100 \\ =10 \end{gathered}\)So, the requied rate of return is 10.0%.
(1 point) rework problem 7 from section 2.3 of your text. assume that the student has a cup with 8 writing implements: 4 pencils, 3 ball point pens, and 1 felt-tip pen. (1) in how many ways can the student select 3 writing implements? 56 equation editorequation editor (2) in how many ways can the selection be made if no more than one ball point pen is selected? equation editorequation editor
(1)a total of 28 ways the student can select 3 writing implements
2)A total of 25 ways the selection be made if no more than one ballpoint pen is selected.
For the first question, the student has three different types of writing implements and thus three different ways to make a selection. The student can choose any combination of three pencils, three ballpoint pens, or three felt-tip pens. This is known as a combination problem and can be solved using the combination formula. The combination formula, which is often written as "n choose k" (where n is the number of objects and k is the number of objects to be selected), can be used to calculate the total number of possible combinations.
In this case, the student has 4 pencils, 3 ballpoint pens, and 1 felt-tip pen, so the combination formula would be (4 choose 3) + (3 choose 3) + (1 choose 3). This simplifies to 28, meaning that there are 28 possible ways the student can select 3 writing implements.
For the second question, the student is limited to selecting no more than one ballpoint pen. Since the student can only select one ballpoint pen, the combination formula would now be (4 choose 3) + (2 choose 3) + (1 choose 3). This simplifies to 25, meaning that there are 25 possible ways the student can select 3 writing implements without selecting more than one ballpoint pen.
To know more about combination refer to the link brainly.com/question/28720645
#SPJ4
Graph each function and determine the y-intercept, then use the graph to determine the approximate value of the given expression.
y=9^x,9^08
Answer: The answer is D
Step-by-step explanation:
I got this answer by plugging in y=9^x and y=9^0.8 into a graphing calculator and then I saw that the y intercept for the first equation was (0, 1) and the y intercept for the second equation is (0, 5.8). Once you have this information you take both the y values and put them together to get (1, 5.8).
3) In recent years, a growing array of entertainment options competes for consumer time. By 2004 , cable television and radio surpassed broadcast television, recorded music, and the daily newspaper to become the two entertainment media with the greatest usage (The Wall Street Journal, January 26, 2004). Researchers used a sample of 10 individuals and collected data on the hours per week spent watching cable television and hours per week spent listening to the radio. Use a .05 level of significance and test for a difference between the population mean usage for cable television and radio.
A study conducted in 2004 examined the usage of cable television and radio among 10 individuals to determine if there was a significant difference in the average hours spent on each medium. Using a significance level of 0.05, statistical analysis was performed to test for a disparity between the population mean usage of cable television and radio.
The researchers collected data on the number of hours per week spent watching cable television and listening to the radio from a sample of 10 individuals. The objective was to determine if there was a significant difference in the average usage between cable television and radio, considering the increasing competition among various entertainment options.
To test for a difference between the population mean usage for cable television and radio, a statistical hypothesis test was conducted. The significance level (α) of 0.05 was chosen, which means that the results would be considered statistically significant if the probability of obtaining such extreme results by chance alone was less than 5%.
The test compared the means of the two samples, namely the average hours spent watching cable television and listening to the radio. By analyzing the data using appropriate statistical techniques, such as a two-sample t-test, the researchers determined whether the observed difference in means was statistically significant or could be attributed to random variation.
After conducting the hypothesis test, if the p-value associated with the test statistic was less than 0.05, it would indicate that there was a significant difference between the population mean usage of cable television and radio. Conversely, if the p-value was greater than 0.05, there would be insufficient evidence to conclude a significant disparity.
To learn more about statistical click here: brainly.com/question/31577270
#SPJ11
Christian's money from his job increased from $12 hour to $21 hour. What is the percent increase?
Answer:
75%
Step-by-step explanation:
Starting value: 12
Final Value: 21
Subtract final value minus starting value
Divide that amount by the absolute value of the starting value
Multiply by 100 to get percent increase
If the percentage is negative, it means there was a decrease and not an increase.
Which equation represents a nonlinear function? y=−85x+19.4 y = − − 8 5 x + 19.4 y=−12x2−7 y = − − 1 2 x 2 − − 7 y=x4+x y = x 4 + x y=32−4x
Answer:
The answer is below
Step-by-step explanation:
The options are not clear. I would solve a similar question.
A linear function is a function in the form:
y = mx + b; where y and x are variables, m is the slope and b is the y intercept.
From the options:
a) y = 3x³
Since the equation is not in the form of y = mx + b, hence it is not a linear function. It is a nonlinear function.
b) 3x + 2y = 10
2y = -3x + 10
The equation is in the form of y = mx + b, hence it is a linear function.
c) y = 15.3
The equation is in the form of y = mx + b, hence it is a linear function.
d) y = (1/4)x - 2
The equation is in the form of y = mx + b, hence it is a linear function.
اريد الحل بليززززززز٥س_٣= ٣٧
Plz help and explain
Answer:
p(x) = (x-a)(x-b)(x-7) - a and b can be whatever you want, any real numbers
Step-by-step explanation:
If you plug in 7, you need to multiply the other two numbers by 0, which will result in 0. There are 3 factors since it must be a 3rd degree polynomial
Hope this helps! Please give brainliest!
I will give brainliest answer to whoevers right i accidentally hit a but im kind of struggling with these questions so if you are able to help it would mean the world
Answer:
the first answer
Step-by-step explanation:
After waiting 45 minutes in line, you get on the GOTG ride. Instead of sitting, you prefer to stand on your bathroom scale. When you last checked, you weighed 150lbs. The ride accelerates upwards at 3.0m/s^2. What does the scale show at that moment? The ride accelerates downwards at 3.0m/s^2. What does the scale show at that moment? The ride moves at a constant velocity. What does the scale show at that moment?
When the ride accelerates upwards at 3.0 m/s², the scale will show a weight greater than 150 lbs. When the ride accelerates downwards at 3.0 m/s², the scale will show a weight less than 150 lbs. When the ride moves at a constant velocity, the scale will show a weight of 150 lbs.
When the ride accelerates upwards at 3.0 m/s², the scale will show a weight greater than 150 lbs. This is due to the additional force exerted on your body as the ride pushes you upwards. The scale measures the normal force acting on you, which is equal to your weight plus the additional force from the acceleration. As a result, the scale will display a weight higher than your actual weight of 150 lbs.
On the other hand, when the ride accelerates downwards at 3.0 m/s², the scale will show a weight less than 150 lbs. In this case, the acceleration is in the opposite direction to the gravitational force, causing a decrease in the normal force. The scale measures the normal force, which is equal to your weight minus the force due to acceleration. Therefore, the scale will display a weight lower than 150 lbs.
When the ride moves at a constant velocity, the scale will show a weight of 150 lbs. At constant velocity, there is no acceleration acting on your body. The scale measures the normal force, which is equal to your weight. Since there are no additional forces from acceleration, the scale will display your actual weight of 150 lbs.
Learn more about the relationship between Acceleration and weight
brainly.com/question/7800086
#SPJ11
David worked 7 1/3 hours today and planted 11 trees. It takes him about the same amount of time to plant each tree. How long did it take him to plant each tree?
Answer:
2/3 hours or 40 mins.
Step-by-step explanation:
No. of trees planted by David = 11
No. of hours worked by David to plant 11 trees = 7 1/3 hours = (7*3 + 1) /3 = 22/3
It takes him about the same amount of time to plant each tree
let time taken to plan 1 tree be x
then time taken to plan 1*11 tree = 11*x
But, given that total time taken is 22/3 hours
thus,
11x = 22/3 hours
x = 22/(3 *11) = 2/3
Thus, it took 2/3 hours to plant each tree.
As 1 hour has 60 minutes
Time taken in minutes to plant 1 tree = 2/3 *60 mins = 40 mins
It takes David 2/3 hours to plant each tree.
Since it takes David 7 1/3 hours today to plant 11 trees.
Therefore time taken to plant 11 trees = 7 1/3 hours = 22/3 hours
The time taken to plant each tree = 22/3 hours ÷ 11 trees = 2/3 hours per tree
Therefore it takes David 2/3 hours to plant each tree.
Find out more at: https://brainly.com/question/16869288
a researcher wishes to conduct a study of the color preferences of new car buyers. suppose that 30% of this population prefers the color green. if 10 buyers are randomly selected, what is the probability that more than a fifth of the buyers would prefer green? round your answer to four decimal places.
The probability that more than a fifth (i.e. 6 or more) of the 10 buyers would prefer green is 0.3981.
To conduct a study of the color preferences of new car buyers, a researcher wishes to conduct a research. Suppose that 30% of the population prefers green. If ten buyers are selected at random, what is the probability that more than a fifth of the buyers will prefer green?
The random variable X represents the number of buyers who prefer green. When n = 10 and p = 0.3, this is a binomial probability experiment. P(X > 2) is the probability that more than a fifth of the buyers would prefer green.P(X > 2) = 1 - P(X ≤ 2)P(X > 2) = 1 - [P(X = 0) + P(X = 1) + P(X = 2)]P(X > 2) = 1 - [C(10,0) (0.3)^0 (0.7)^10 + C(10,1) (0.3)^1 (0.7)^9 + C(10,2) (0.3)^2 (0.7)^8]P(X > 2) = 1 - [1(0.7)^10 + 10(0.3)(0.7)^9 + 45(0.3)^2 (0.7)^8]P(X > 2) = 0.2743
Therefore, the probability that more than a fifth of the buyers would prefer green is 0.2743, rounded to four decimal places.
You can read more about probability at https://brainly.com/question/24756209
#SPJ11
10x+8= 5x -4
Pleaseeee help
Step-by-step explanation:
Here's the answer I hope it will help u
There are 99 vehicles on a used car lot. 18 of them are station wagons.
What is the probability that a randomly selected vehicle will be a station wagon?
Write your answer as a fraction or whole number.
P(station wagon) =
Answer:
It is 5.5 trust me plz
Step-by-step explanation:
I need brainliest to move onto next rank so can i plz have brainliest?
rocky,tony,junior received all there weekly salaries,tony received $3000 while junior received:$9000 if the ratio of tony salary to rocky salary is 3:6 what is the ratio of rocky salary to junior salary?
Answer:
6:9 or 2:3
Rocky's salary is $6000
Find the measure of angle DBC
The measurement of angle DBC is equal to 33°, here we have to know the meaning of angle.
What is Angle?Angle is the measurement distance between two straight line or ray when they meet and it can also say that their one part is opening and other part is joint.
We have given that, ∠ABD = 4x, ∠DBC = 3x and measure of angle ABC is equal to 77°.
So ∠ABD + ∠DBC = ∠ ABC
⇒ 4x + 3x = 77°
⇒ 7x = 77°
⇒ x = 11°
So, ∠ ABD = 4x = 4 * 11 = 44°
and, ∠DBC = 3x = 3 * 11 = 33°
Therefore, angle DBC is equal to 33°.
To Learn more about Angle, visit:
https://brainly.com/question/1309590
#SPJ1
Complete Question:
What is the measure of angle DBC if the measure of angle ABD is represented by 4x, the measure of angle DBC is represented by 3x and the measure of angle ABC is 77° ?
What choices are correct?
A-The graph is increasing over the interval x<5
B-The graph is decreasing over the interval -4
C-The graph has exactly 2 relative minimums
D-The range is all real numbers
E-The domain is all real numbers
PLEASE HELP! it’s due today. Please give explanation if you
Can
A system of linear equations with more equations than unknowns is sometimes called an overdetermined system. Can such a system be consistent? Illustrate your answer with a specific system of three equations in two unknowns. Choose the correct answer below. A. No, overdetermined systems cannot be consistent. because there are no free variables. For example, the system of equations below has no solution. x_1 = 2, x_2 = 4, x_1 + x_2 = 24 B. No, overdetermined systems cannot be consistent. because there are fewer free variables. For example, the system of equations below has no solution. x_1 = 2, x_2 = 4, x_1 + x_2 = 12 C. Yes, overdetermined systems can be consistent. For example, the system of equations below is consistent because it has the solution variables than equations. For example, the system of equations below has no solution. (Type an ordered pair.) x_2 = 4, x_1 + x_2 = 6 D. Yes, overdetermined systems can be consistent. For example, the system of equations below is consistent because it has the solution (Type an ordered pair.) x_1 = 2, x_2 = 4, x_1 + x_2 = 8
The correct answer is C. Yes, overdetermined systems can be consistent. For example, the system of equations below is consistent because it has fewer solution variables than equations:
x_2 = 4
x_1 + x_2 = 6
To illustrate this, let's solve the system of equations:
From the first equation, we have x_2 = 4.
Substituting this value into the second equation, we get:
x_1 + 4 = 6
Simplifying, we find:
x_1 = 2
Therefore, the solution to the system of equations is x_1 = 2 and x_2 = 4. This ordered pair satisfies both equations, making the system consistent.
In this case, even though we have more equations (2 equations) than unknowns (2 unknowns), the equations are not contradictory or incompatible. The system has a unique solution, and it is consistent.
It is important to note that not all overdetermined systems are consistent. If the equations are contradictory or incompatible, the system will be inconsistent. Inconsistent overdetermined systems typically have more equations than unknowns and lead to contradictions.
In summary, an overdetermined system can be consistent if the equations allow for a solution that satisfies all the equations. The consistency of the system depends on the specific equations involved and their relationship to one another.
Learn more about equation at: brainly.com/question/29538993
#SPJ11
If you wanted to run a simulation for something with a 25% (1 in 4) chance of success, then you could generate random numbers 1 – 4, and arbitrarily choose one of the numbers to represent a "success." You could choose "1" to be a "success," for instance.
a. Suppose you want to simulate something with 6.25% (1 in 16) chance of success. The most efficient way to simulate that with whole numbers would be to generate the numbers from 1 to ___, and arbitrarily choose ___ number(s) to represent a "success."
b. Suppose you want to simulate something with a 40% (2 in 5) chance of success.
The most efficient way to simulate that with whole numbers would be to generate the numbers from 1 to ___, and arbitrarily choose ___ number(s) to represent a "success."
c. Suppose you want to simulate something with a 2 in 29 chance of success.
The most efficient way to simulate that with whole numbers would be to generate the numbers from 1 to ___, and arbitrarily choose ___ number(s) to represent a "success."
To simulate a 6.25% chance of success, the most efficient way to do this is to generate the numbers from 1 to 16 and choose one to represent success. To simulate a 40% chance of success, generate numbers from 1 to 5 and choose 2 to represent success. Finally, to simulate a 2 in 29 chance of success, generate numbers from 1 to 29 and choose 2 to represent success.
a. Suppose you want to simulate something with a 6.25% (1 in 16) chance of success.
The most efficient way to simulate that with whole numbers would be to generate the numbers from 1 to 16, and arbitrarily choose 1 number to represent a "success."
b. Suppose you want to simulate something with a 40% (2 in 5) chance of success. The most efficient way to simulate that with whole numbers would be to generate the numbers from 1 to 5, and arbitrarily choose 2 number(s) to represent a "success."
c. Suppose you want to simulate something with a 2 in 29 chance of success. The most efficient way to simulate that with whole numbers would be to generate the numbers from 1 to 29, and arbitrarily choose 2 number(s) to represent a "success."
In summary, to simulate a 6.25% chance of success, the most efficient way to do this is to generate the numbers from 1 to 16 and choose one to represent success.
To simulate a 40% chance of success, generate numbers from 1 to 5 and choose 2 to represent success.
Finally, to simulate a 2 in 29 chance of success, generate numbers from 1 to 29 and choose 2 to represent success.
Visit here to learn more about arbitrarily brainly.com/question/31990101
#SPJ11
The original pentagon was enlarged to produce a new pentagon. This enlargement transformation is called a
The enlargement transformation user to produce the new pentagon is called a dilation.
Dilation ConceptDilation or Scaling involves increasing or decreasing the size of an object while maintaining its shape and proportions. In this case, the original pentagon is scaled up or down uniformly to create the new pentagon.
It involves making use of a certain scale factor to make increment or decrease an object. In this case a scale factor greater than 1 was used as the new pentagon was said to be enlarged.
Therefore, the enlargement transformation is a dilation.
Learn more on dilation :https://brainly.com/question/30240987
#SPJ1
determine the number of arrangements of the letters in georgiatech such that all the e's are consecutive.
The number of arrangements of the letters in "georgiatech" with all the e's consecutive is 60,480.
To determine the number of arrangements of the letters in "georgiatech" such that all the e's are consecutive, we can treat the three e's as a single unit. So, we have 9 distinct letters: g, o, r, g, i, a, t, c, h, and the "eee" unit.
The total number of arrangements of these 9 letters is 9!. However, within the "eee" unit, the three e's can be arranged among themselves in 3! ways. Therefore, we need to divide the total number of arrangements by 3!.
Hence, the number of arrangements of the letters in "georgiatech" such that all the e's are consecutive is:
9! / 3! = 362,880 / 6
= 60,480
To know more about arrangements,
https://brainly.com/question/31962614
#SPJ11