The sum of first three terms of an arithmetic series is 21. If the sum of the first two terms is subtracted from the third term then it would be 9. find the three terms of the series
Answer:
The terms are - 1, 7 and 15.
Step-by-step explanation:
Let the terms be a-d, a and a+d
ATQ, a-d+a+a+d=21, a=7. a+d-(a+(a-d))=9. d=8. The terms are - 1, 7 and 15.
To avoid the problem of having access to tables of the F distribution with values for the lower tail when a one-tailed test is required, let the _____ variance be the numerator of the test statistic. a. sample variance from the population with the larger hypothesized b. larger sample c. sample variance from the population with the smaller hypothesized d. smaller sample
Answer:
The answer is "Option b".
Step-by-step explanation:
The significant variance shows that the numbers in the set are far from the mean and far from each other as well. Alternatively, a little variation implies the reverse. The variance value of 0, on either hand, shows that all values inside a set of numbers are the same. If you need yet another test, use a greater sample variance as the numerator of the test statistic to avoid having to reference tables of the F distribution that primary device from of the lower tail.
Consider the graphed function. 100POINTS!!!!
What are the domain and the range of this function?
Answer:
Domain -5 ≤x<1
Range -4 ≤y<7
Step-by-step explanation:
The domain is the values that x takes
X goes from -5 included to 1 not included
-5 ≤x<1
The range is the values that y takes
y goes from -4 included to 7 not included
-4 ≤y<7
Answer:
Domain -5 ≤x<1
Range -4 ≤y<7
Please mark me as brainliest :)
Step-by-step explanation:
Today, the members of the cabinet Group of answer choices are an informal group of presidential advisers. are limited to the heads of the fifteen executive departments. include fourteen department secretaries and the attorney general, plus other top officials chosen by the president. include only the heads of the Departments of State, Justice, Defense, and Treasury, plus the heads of the EPA, CIA, and FBI. are a subset of any six executive department heads, chosen by the president.
Answer:
include fourteen department secretaries and the attorney general, plus other top officials chosen by the president.
Step-by-step explanation:
The Cabinet of the United States of America is a government body which includes the vice president along with the heads executive branch. The President of the United States in the executive head of the body.
It mainly consists of the secretaries of 14 departments as well as the attorney general and other officials who are chosen by the President of the US.
The points (3,6) and (5,12) lie on the graph of a linear equation. Is (4,8) a solution of the same linear
equation? Explain.
After finding the equation of the line, it is found that:
Since replacing x by 4 and y by 8 in the equation of the line does not result in an identity, (4,8) is not a solution of the same linear equation.
------------------------
Equation of a line:
The equation of a line is given by:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
------------------------
Finding the slope:
Given two points (x,y), the slope is given by change in y divided by change in x.
Points (3,6) and (5,12)Change in y: 12 - 6 = 6Change in x: 5 - 3 = 2Slope: [tex]m = \frac{6}{2} = 3[/tex]Thus:
[tex]y = 3x + b[/tex]
------------------------
To find the y-intercept, we replace one of the points into the equation. I will replace (3,6). Thus:
[tex]6 = 3(3) + b[/tex]
[tex]b = 6 - 9 = -3[/tex]
Thus, the equation of the line is:
[tex]y = 3x - 3[/tex]
------------------------
Is (4,8) a solution of the same linear equation?
We have to replace x by 4 and y by 8, and see if it results in an identity. So
[tex]8 = 3(4) - 3[/tex]
[tex]8 = 12 - 3[/tex]
[tex]8 \neq 9[/tex]
Since replacing x by 4 and y by 8 in the equation of the line does not result in an identity, (4,8) is not a solution of the same linear equation.
A similar problem is given at https://brainly.com/question/16024991
Stephon makes the following statements: statement 1 lim x -3 f(x) exists and is equal to 1 statement 2 lim x 1 f(x) exists and is equal to 1
Neither statement 1, nor statement 2 are correct
The given Stephon's statements are;
Statement 1; [tex]\mathbf{\lim \limits _{x \to -3} f(x)} \ \mathbf{Exist} \ and \mathbf{\lim \limits _{x \to -3} f(x) = 1}[/tex]
Statement 2; [tex]\mathbf{\lim \limits _{x \to 1} f(x)} \ \mathbf{Exist} \ and \mathbf{\lim \limits _{x \to 1} f(x) = 1}[/tex]
The analysis of the graph and reason for the answer
From the graphed line on the left of the y-axis, we have an open circle at x = -3, and an arrow at the other end pointing towards negative infinity, (-∞) which indicates that the domain is -∞ ≤ x < -3, therefore, at x = -3, f(x) does not exist, therefore, we can write the following statement
The limits of the domain and range of the graph includes;
[tex]\mathbf{\lim \limits _{x \to -3} f(x)} = \mathbf{Does \ not \ exist}[/tex]
f(x) = Defined for -∞ ≤ x < -3
Similarly, from the graphed line on the right of the y-axis, we have an open circle at x = 1 and an arrow at the other end of the line f(x) = 4 pointing towards positive (+∞) infinity, which indicates the domain and the graph of the function is 1 < x ≤ ∞ , therefore, f(x) does not exist at x = 1, and we can write
[tex]\mathbf{\lim \limits _{x \to 1} f(x)} = \mathbf{Does \ not \ exist}[/tex]
From we above, we have that neither statement 1, nor statement 2 are correct
Learn more about open and closed circles on graph lines
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sam leases a car for 24 months. the car will cost him $7,000 if he decides to buy it at the end of the lease. What term describes the $7,000
Answer:
Residual value
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
Option C, 93.6 mi³
Step-by-step explanation:
Volume of the triangular prism,
(8×3.9/2)×6
= 93.6 mi³
You draw a red marble out of a bag and give it your friend. You draw another marble out of the bag. Are the events independent? Explain.
No; the red marble was not replaced, so it has an effect on drawing a second marble.
Yes; you may not get a red marble again.
No; you do not know which marble you will draw next.
Yes; the red marble was kept out, so you can not draw it again.
Answer:
the red marble was kept out so you can not draw it again
Answer:
Yes; you may not get a red marble again.
Step-by-step explanation:
there is a chance to get a red marble but it is not high
round to the nearest place value shown
Use the diagram to the right to name the following.
a) A line containing point F.
b) Another name for line k.
c) A plane containing point A.
d) An example of three non- collinear points.
e) The intersection of plane M and line k.
a) A line containing point F-DF
b) Another name for line k-BC
c) A plane containing point A-M
d) An example of three non- collinear points.-(B,A)
e) The intersection of plane M and line k-C
Decide !!!!!!!!!!!!!!!!!
Observe that
7¹ ≡ 7 (mod 100)
7² ≡ 49 (mod 100)
7³ ≡ 343 ≡ 43 (mod 100)
and (using Euclid's algorithm)
7 ⁻¹ ≡ 43 (mod 100)
so that
7⁴ ≡ 7³ × 7¹ ≡ 43 × 7¹ ≡ 1 (mod 100)
This means
7⁷ ≡ 7⁴ × 7³ ≡ 1 × 43 ≡ 43 (mod 100)
Next,
(7⁷)⁷ ≡ 43⁷ ≡ (7 ⁻¹)⁷ ≡ (7⁷) ⁻¹ ≡ 43⁻¹ ≡ 7 (mod 100)
(3 7's)
Next,
((7⁷)⁷)⁷ ≡ 7⁷ ≡ 43 (mod 100)
(4 7's)
A pattern emerges: a power tower involving an even number of 7's will reduce to 43 (mod 100), so the last two digits of ((7⁷)⁷ ... )⁷ with 2020 7's will have 43 as its last two digits.
13) Stephanie is making lasagna for a party. The recipe uses 1 1/2 teaspoons of basil, teaspoons of salt, teaspoons of
pepper and 2/4 teaspoons of salt, 1/8 teaspoons of pepper and 4 teaspoons of parsley.If she needs to make 1.5 times the recipe, how many teaspoons will she use of each
ingredient? How many teaspoons will she use in total (when she combines all of the ingredients)? Show all of your
work.
Answer:
10.875 total, 1.5 times each are below.
Step-by-step explanation:
1.5 (1 1/2) x 1.5 = 2.25
0.5 (2/4) x 1.5 = 0.75
0.125 (1/8) x 1.5 = 1.875
4 x 1.5 = 6
2.25 + 0.75 + 1.875 + 6 = 10.875 total
-1 1/4×-4/5+1/4÷3
5/9×1/11+5/9×4/11-5/9×14/11
Answer:
0.5013415404
Step-by-step explanation:
.......plz answer it plz
Answer:
a: x=90 b: x=45 y=45 c: y=68 x=68
Which possible buffet prices could Noah could charge and still maintain the restaurant owner’s revenue requirements?
Select the correct prices in the table.
$12 $13 $14 $15
Answer:
The answer is actually 12 and 13.
Step-by-step explanation:
You have to plug the number in to see what is greater than or equal to 130. 12 is equal to 160, so 12 works. 13.00 is equal to 130. 14 is equal to 112 and 15 is 90.
The possible buffet prices could noah could charge and still maintain the restaurant owner’s revenue requirements is actually 12 and 13.
We have given that the table,
What is the prices?Pricing is the process whereby a business sets the price at which it will sell its products and services, and may be part of the business's marketing plan.
You have to plug the number in to see what is greater than or equal to 130. 12 is equal to 160, so 12 works. 13.00 is equal to 130. 14 is equal to 112 and 15 is 90.
To learn more about the price visit:
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PLZ ANSWER QUICK
Forest has a box of 12 candies. The Venn diagram below shows how many candies contain chocolate, coconut, both, or neither. Complete the following two-way frequency table.
Answer: Answer is in the image below.
Step-by-step explanation:
Enter the repeating digit.
Answer:
Does the answer help you?
Answer:
6
Step-by-step explanation:
Dividing 2 by 3 gives you a repeating decimal of 0.6666...
maths work summer vacations homework
Answer:
Step-by-step explanation:
line is made up of points and its endless
eg:........................................................................................it goes on forever even though it stopped here
a line segment is not endless it starts a one point and stops at another
eg: :-----------------------: see it stops its like starting a sentence and finshing it .
a ray is diffrent . i dont know how to explain so heres a pic
those orange things are called rays.
Is this correct??? Will give Brainlyist
a cylinder with radius 7 and height 4 is in table,then find its volume?
Answer:
V = ≈615.75
Step-by-step explanation:
hopefully that helped
Multiply. Write your answer in the simplest form.
3/8×3/7×4
Answer:
9/14
Step-by-step explanation:
3/8 * 3/7 * 4/1
~Multiply
9/56 * 4/1
~Multiply again
36/56
~Simplify
9/14
Best of Luck!
Answer:9/14
Step-by-step explanation:
3/8×3/7=9/56
9/56×4/1
(divide the 56 by 4 and the 4 by 4)
9/14 × 1/1 = 9/14
I need help with A-I on #1
Answer:
1a. 104
1b. 8x
1c. 13y
1d. xy
1e. 3+y
1f. x+7
1g. x-y
1h. x divided by y
1i. x+3
1j. 3x
1k. y-5
1l. 1/5y
2a. 26
2b. x+9
Determine what type of transformation is represented. A. translation B. reflection C. none of these D. rotation
Answer:
D. rotation
uhhhh I need 20 characters so
Rotation is correct because the triangle ABC is rotated about the mid-point of B and B'. Then the correct option is D.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Reflection does not change the size and shape of the geometry. But flip the image.
Rotation does not change the size and shape of the geometry. But change the orientation of the image.
Translation does not change the size and shape of the geometry. But change the location of the shape.
Check all the options.
Translation is incorrect because orientation of the triangle is changed.
Reflection is incorrect because the line of the reflection is not possible for the triangles.
Rotation is correct because the triangle ABC is rotated about the mid-point of B and B'.
Then the correct option is D.
More about the transformation of geometry link is given below.
https://brainly.com/question/22532832
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This is Solving Linear Equations.
Answer:
x=12
Step-by-step explanation:
you have to group the like terms in order to solve this equation, this will result to;
5/2x-3/4x=14+7
1.75x/1.75=21/1.75
x=12
I hope this helps
Required solution :
The given equation is,
(5 / 2)x - 7 = (3 / 4)x + 14⇒ 5x - 14 / 2 = (3 / 4)x + 14
Transposing 14 from R.H.S. to L.H.S.,
⇒ (5x - 14 / 2) - 14 = (3/4)x
⇒ 5x - 14 - 28 / 2 = 3x / 4
⇒ 5x - 42 / 2 = 3x / 4
⇒ 4 (5x - 42) / 2 = 3x
⇒ 4 × (5x - 42) / 2 = 3x
⇒ 2 (5x - 42) = 3x
⇒ 10x - 84 = 3x
⇒ 10x - 3x = 84
⇒ 7x = 84
⇒ x = 84 / 7
⇒ x = 12
Therefore, option d that is 12 is correct.
this geometric sequence?
What is the explicit formula for
8, 4, 2, 1, ...
Answer:
D
Step-by-step explanation:
the first term is 8, the ratio is 1/2 ( 8*1/2 = 4, 4*1/2 = 2, 2*1/2 = 1)
the formula for an explicit geometric formula is :
[tex]a_{n} = a_{1} * r^{(n-1)}[/tex]
plug in your numbers :
[tex]a_{n} = 8 * (\frac{1}{2}) ^{(n-1)}[/tex]
Someone help me with this
Answer:
(6,-3) and 5
Step-by-step explanation:
Compare it to the standard equation of circle and we will get center is (6,-3) and radius=5
Is -√15 an imaginary or irrational number?
Answer:
irrational
[tex]\sqrt{-15}[/tex] would be imaginary
Step-by-step explanation:
Hey there! I'm happy to help!
An irrational number is a real number that can't be written as a ratio of two other integers (non-fraction numbers) so a number like π or √2.
An imaginary number is one that breaks a mathematical rule so it can't necessarily exist as a real number. The main imaginary number is i, and here is the thing it does that breaks the rules and makes it imaginary:
i²=-1
so
√-1=i
We know that you cannot square a real number and have it be negative because a negative number can only be obtained by multiplying a positive and a negative number. This also shows us that there cannot be a square root of a negative number.
We have the number -√15. The placement of that negative sign is CRUCIAL! The square root of any positive integer is going to be a real number, but the square root of a negative number is nonexistent aka imaginary. √-15 would be an imaginary number, but we have -√15, which is the same thing as -1·√15. The negative sign is not inside the square root, which makes it not imaginary, so this is an irrational number. You can plug it into a calculator and it would be -3.872983346....
Have a wonderful day and keep on learning :)
02:Posttest 2: Fractions
6.
Order the numbers from least to greatest.
63
11
3
3
80 5 20
35
When the movies is half over , popcorn sells for half price. Full price popcorn is $3.50 and drinks are $1.35 . Determine the cost for purchasing 3 orders of popcorn and 3 drinks when the movie is half over
Answer:
The total price is $9.30
Step-by-step explanation:
Price of the orders of popcorn= $5.25
Price of the drinks= $4.05
