Answer:
3
Step-by-step explanation:
The pattern is 2, 5, 8, 11, 14, 17.
Hopefully this helps!
In the Arithmetic sequence, the common difference between consecutive terms is 3 .
The general term of an arithmetic sequence is,
[tex]a_{n}=a_{1}+(n-1)d[/tex]
where d is common difference.
Given that, first term [tex]a_{1}=2,a_{3}=8[/tex]
So, [tex]a_{3}=a_{1}+2d\\\\8=2+2d\\\\2d=8-2=6\\\\d=6/2=3[/tex]
Therefore, common difference is 3.
Learn more about arithmetic sequence here:
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The number of bacteria in a culture is increasing according to the law of exponential growth. The initial population is 240 bacteria, and the population after 12 hours is double the population after 1 hour. How many bacteria will there be after 3 hours
Answer:
240
Step-by-step explanation:
According to law of exponential growth,
[tex]y=y_0e^{kt}[/tex]
Here, [tex]y_0[/tex] denotes the initial amount and k is the rate constant of the equation.
Now, the initial population is 240 bacteria.
Put [tex]y_0=240[/tex]
So,
[tex]y=240e^{kt}[/tex]
The population after 12 hours is double the population after 1 hour.
[tex]y(12)=2y(1)[/tex]
[tex]240e^{12k}=240e^{k} \\e^{12k}=e^{k} \\e^{12k-k}=1\\e^{11k}=1\\11k=log 1=0\\k=0[/tex]
(Formulae used: [tex]\frac{e^x}{e^y}=e^{x-y}\,,\,log 1=0[/tex])
So,
[tex]y=240e^{0}=240\\y=240[/tex]
Therefore,
Number of bacteria after 3 hours = 240
(7.5.C) Similarity Problems
Answer:
D
Step-by-step explanation:
solve for x and y
x +2y= -6
-5x+4y=2
Answer:
y=1/2+5x/4
x=−6−2y
Step-by-step explanation:
i hope this helped :)
Are these lines parallel?
y = (-1/2)x + 1
y = (1/2)x - 5
no
Step-by-step explanation:
PLEASE IM BEGGING YOU please answer i’ll do anything i need in 10 minutes please
Answer:
1. 2.
-3, 4 -3, 2
-1, 2 0, 1
0, 1 3, 0
4, -3 6, -1
Step-by-step explanation:
In a random sample of 100 voters, 48 said they planned on voting for the Republican presidential candidate. On election day, 51% of voters actually voted for the Republican presidential candidate. (a) Identify the value of the sample proportion.
Answer: 0.48 .
Step-by-step explanation:
The sample proportion is a ratio of number of successes in a sample to the sample size.Let p be the proportion of voters actually voted for the Republican presidential candidate.
Given: In a random sample of 100 voters, 48 said they planned on voting for the Republican presidential candidate.
Sample proportion: [tex]\hat{p}=\dfrac{48}{100}=0.48[/tex]
Hence, the sample proportion is 0.48 .
2 x 2 x 2 x 7 is the prime factorization of what number??
Answer:
We multiply the four factors and get 56
Step-by-step explanation:
GEOMETRY PROBLEMS PLEASE HELP ME
Answer:
12) The measure of PQR is 36 since both angles MQP (25) and PQR should add up to MQR (61)
13) The graph shows that both angles are congruent so that means:
2x+8= x+22
2x= x+14
x=14
14) angle ADB and angle BDC since it shows that both angles sum up to 90 degrees (also known as complementary angles)
15) Angles ADE and angle FDE are supplementary because they both add up to 180 degrees (supplementary angles)
16) Angles ADC and FDE are vertical because they are opposite of each other
17) Angles ADE and FDE are also linear pairs because both of them are adjacent (they both have a common side as well as a common vertex)
Hope this helps! ;)
BIG POINT
Describe the significance of the unit circle to Trigonometry. Make connections to solving, graphing, identities, and other key concepts included in this course. Provide at minimum of 4 connections with an explanation of the connections.
Write in paragraph please.
Answer: (compiled from google)
One radian is the measure of the central angle of a circle such that the length of the arc is equal to the radius of the circle.
A full revolution of a circle ( 360 ∘ ) equals 2 π r a di a n s. This means that 1 radian = 180 ∘ π .
The formula used to convert between radians and degrees is angle in degrees = angle in radians ⋅ 180∘ π .
The radian measure of an angle is the ratio of the length of the arc to the radius of the circle ( θ = sr ) . In other words, if s is the length of an arc of a circle, and r is the radius of the circle, then the central angle containing that arc measures radians.
Key Terms
arc: A continuous part of the circumference of a circle.
circumference: The length of a line that bounds a circle.
radian: The standard unit used to measure angles in mathematics. The measure of a central angle of a circle that intercepts an arc equal in length to the radius of that circle.
The x – and y -coordinates at a point on the unit circle given by an angle
t are defined by the functions x = cos t and y = sin t .
Although the tangent function is not indicated by the unit circle, we can apply the formula
tan t = sin t cos t to find the tangent of any angle identified.
Using the unit circle, we are able to apply trigonometric functions to any angle, including those greater than 90 ∘ .
The unit circle demonstrates the periodicity of trigonometric functions by showing that they result in a repeated set of values at regular intervals.
Key Terms
periodicity: The quality of a function with a repeated set of values at regular intervals.
unit circle: A circle centered at the origin with radius 1.
quadrants: The four quarters of a coordinate plane, formed by the x – and y -axes.
If this doesn't help I appologize
100 PTS!!!! Enter numbers into the table so that the paired values are in a proportional relationship.
x 1 2 3 [_} 5
Y [__} 10 15 20 25
Answer:
Answer is
1,2,3,4,5
5,10,15,20,25
just did the k12 test
Answer:
1,2,3,4,5
5,10,15,20,25
Step-by-step explanation:
The rabbit population in a forest area grows at the rate of 9% monthly. If there are 242 rabbits in September, find how many rabbits (rounded to the nearest whole number) should be expected next September. Use
y
=
242
(
2.7
)
0.09
t
y
=
242
(
2.7
)
0.09
t
Answer:
503 should be the answer
Step-by-step explanation:
Answer:
i think its 503
Step-by-step explanation:
242 multiplied by 0.09 = 21.78
21.78 multiplied by 12 = 261.36
added by 242 = 503.36
What could be shown about the diagonals of parallelogram PQRS to compare the proof that diagonals of a parallelogram bisect each other?
Answer:
C. PR and SQ have the same midpoing
Step-by-step explanation:
The theorems that could be shown hat the diagonals of parallelogram PQRS bisect each other are explained below.
Let the point where the diagonals intersect be called Point T.Now, looking at the parallelogram, we can say that;
∠QPT = ∠SRT (This is because the alternate angles between 2 parallel lines are always equal)
Secondly, ∠PQT= ∠RST.This is This is because the alternate angles between 2 parallel lines are always equal.
Thirdly; ∠PTQ=∠RTSThis is because they are vertically opposite angles.
Now, from AAA congruence theorem, we can say that;△PTQ is congruent to △RTS.
Thus, we can say that;
PT = RT and QT = ST
This proves that they bisect each other.
Read more at; https://brainly.com/question/15140032
John has $200 in his bank account he made a purchase at the grocery store that was $1.50 more than he had in his bank account select the point on the number line that represents the balance of his bank account after buying groceries.
Answer: You are right
Step-by-step explanation:
A certain stock sold for $43.50 on Monday. The sale price dropped $2.75 on Tuesday. The price dropped $4.50 on Wednesday. How much did each share sell for at the beginning of the day on Thursday? Explain your answer.
Answer:
36.20
Step-by-step explanation:
add 2.75 and 4.5 which gets you to 7.25 and subtract your 7..25 from 43.50
(Not sure if this is what you were looking for)
What is the coefficient of 4x^2 ?
How do you write 3.684 × 103 in standard form?
Decrease 950 by 36%.
Answer:
342
Step-by-step explanation:
950×0.36=342.....
Answer:
608
Step-by-step explanation:
100-36 =64 which means you want the answer to be 64% of the original value.Find 10% of 950 = 95Mulitply by 6.4 because 10 times 6.4 = 6495 * 6.4 =608What is 87B -179+957÷87
Answer:
8,677
Step-by-step explanation:
because the chemical in 87b is the same as 17yu so it would be 8,677.
Find the value of x. Then find the measure of each labeled angle.
Answer:
1. 70
2. 30
Step-by-step explanation:
ok, so we first know that x+(x-40)+90+90=360, so if we simplfy, we will get x+x+40=180, and 2x=140, so x is 70. 70-40 is 30.
I need a girl and yes I understand I’m on the wrong website please don’t report smh
Answer:
lol, what for?
Step-by-step explanation:
Answer:
So the answer would be B.
Step-by-step explanation:
This is not the right site like you said also no one knows your age or what you look like so good luck buddy.
ill give brainliest please help.
Answer:
A = 5
Step-by-step explanation:
Help me please pleasessssss
13. Which of the following pairs of triangles can be proven congruent by ASA? B Х A. W . Х A 00 w B. C. w Y B A D. w
What is the polynomial of least degree with the given zeroes O with a
multiplicity of 3, -1 with a multiplicity of 2, i, and -i?
Answer:
the answer is by making this question make sense and less confusing
Step-by-step explanation:
9.81 rounded to the nearest 10th is what?
Answer:
9.80
Step-by-step explanation:
Bus X travels 224 miles in 4 hours. Write the equation of the line that describes the relationship between distance y and time x.
Answer:
The answer is 56
Step-by-step explanation:
The equation is Y=56x+4 I think
The equation of the line that describes the relationship between distance y and time x from the given graph is y=56x.
Given that, bus X travels 224 miles in 4 hours.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The coordinate points of a line from the given graph are (4, 224) and (1, 56).
Here, slope (m) = (56-224)/(1-4)
= -168/(-3)
= 168/3
= 56
Put m=56 and (x, y)=(4, 224) in y=mx+c, we get
224=56(4)+c
⇒ c=0
Substitute m=56 and c=0 in y=mx+c, we get
y=56x+0
⇒ y=56x
Therefore, the equation of the line that describes the relationship between distance y and time x from the given graph is y=56x.
To learn more about the slope of a line visit:
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Write a mathematical sentence that expresses the information given below. Use s as your variable name If necessary : type to mean If you need to show multiplication , do not use the letter x. Use the asterisk (*) symbol instead, or simplify your answer. Mr. Jones's algebra class has too many students in it. If the class were split exactly in equal parts to form 3 new classes, each class would have no more than 14 students in it.
Answer:
s*3=42
Step-by-step explanation:
s= no. of students
* is used for multiplication sign
s*3=42
s=42/3
s=14
Answer:
ˢ⁄₃ ≤ 14
s ≤ 42
Step-by-step explanation:
This question requires you to apply your algebra knowledge to create an equation (in this case, an inequality) using variables and information. We need to translate the phrases into basic operations.
S would represent the number of students in Mr. Jones's Algebra class.
The info says "if the class were split exactly in equal parts to form 3 new classes." The words 'split' and 'in equal parts' indicate that we need to use the division operator (or a fraction). The "3 new classes" tell us by how many to divide by (the denominator of the fraction). So we write
ˢ⁄₃
The next part forms the inequation. "each class would have no more than 14 students in it"
The "no more than 14" tells us each class can either be 14 or less, so we should use the lesser or equal to sign (≤). So now we join the parts together:
ˢ⁄₃ ≤ 14
Since we now have an equation/inequation and have enough information, we can solve for s (the number of students in Mr. Jones's algebra class).
s ≤ 42
What we have done here is translate the given information into a mathematical sentence
The three perpendicular bisectors of the sides of AABC intersect at point G. Point G is the
A)
centroid.
B)
circumcenter.
C)
incenter:
D)
orthocenter.
Answer: Circumcenter
Step-by-step explanation:
Please view the photo below for proof that it is accurate.
Use the variable, n, to write an expression for seven less than a number.
Answer:
n-7 would be the equation
Answer:
n - 7
Step-by-step explanation:
n - 7
Alex had 50 guavas for sale he sold4/5 of them How many guavas was left unsold
Answer:
Step-by-step explanation:
50 times 4/5 is 40. meaning we subtract the two to find the unsold
50-40 = 10
so 10 guavas were left unsold
