Find the common difference (d) of the arithmetic sequence. It it is not arithmetic, enter "None" in the box. 10, 2, -6, -14, -22, ... d =?
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Explanation:
Pick any term that isn't the first term. Then subtract off the previous term. If we get the same result each time, then the sequence is arithmetic, and that result is the common difference.
term2 - term1 = 2-10 = -8term3 - term2 = -6-2 = -8term4 - term3 = -14-(-6) = -14+6 = -8term5 - term4 = -22-(-14) = -22+14 = -8We get -8 each time, so the sequence is arithmetic with common difference d = -8. It says to add -8 to each term to get the next term. This is the same as subtracting 8 from each term to get the next term.
Note how:
10-8 = 22-8 = -6-6-8 = -14-14-8 = -22complete out the table for the function f(x) = |x-2|
Answer:
3, 2, 1, 0
Step-by-step explanation:
f(-1) = |-1 - 2| = 3
f(0) = |0 - (-2)| = 2
f(1) = |1 - 2| = 1
f(2) = |2 - 2| = 0
The ratio of the numbers of apples to bananas in a market bag is 6:11. There are 144 apples. How many bananas are there?
Answer:
264 bananas
Step-by-step explanation:
11/6 = x/144
cross multiplicaion
6x = 11x144
6x = 1584
x = 265
It males sense since 11 is almost double than 6
264 is almost double than 144
It used to take Andie 45 seconds to swim 50 meters. Now she swims the same distance in 35 seconds. What is the percent increase in her speed rounded to the nearest whole percent.
Answer: 28.8%
Step-by-step explanation:
First find out what her speed is:
Speed = Distance / Time
= 50 / 45
= 1.11 meters/second
Now her speed is:
= 50 / 35
= 1.43 meters/ second
The percentage increase in her speed is:
= (New speed - Old speed) / Old speed
= (1.43 - 1.11) / 1.11
= 0.288
= 28.8%
The given cylindrical
to fill the rectangular prism fish tank with water.
8 inches
24 inches
6 inches
12 inches
24 inches
What is the least number of full cylindrical containers needed to completely fill the fish tank?
Enter your answer in the box.
containers
Answer:
30.54
Step-by-step explanation:
Here is the complete question used in answering this question
he given cylindrical container r =3 inches and height= 8in is used to fill the rectangular prism fish tank 24 , 24 and 12 inches with water. What is the least number of full cylindrical needed to completely fill the fish tank?
Number of cylinders needed = volume of prism / volume of cylinder
volume of prism = width x height x length = 24 x 24 x 12 = 6912
volume of a cylinder = nr^2h
n = 22/7
r = radius
(22/7) x (3^2) x 8 = 226.29
6912 / 226.29= 30.54
165363>×÷?2×<678if x is ಠ_ಠ
A map is created on a coordinated plane . Ty’s house is located( 7,8) and the library is located( 7,-6)How many blocks is it from Ty’s house to the library each unit on the coordinate plane represents 1 block
Given:
Ty’s house is located ( 7,8) and the library is located ( 7,-6).
Each unit on the coordinate plane represents 1 block.
To find:
The number of blocks from Ty’s house to the library.
Solution:
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We need to find the distance between the two points ( 7,8) and ( 7,-6).
Using the distance formula, we get
[tex]D=\sqrt{(7-7)^2+(-6-8)^2}[/tex]
[tex]D=\sqrt{(0)^2+(-14)^2}[/tex]
[tex]D=\sqrt{196}[/tex]
[tex]D=14[/tex]
The distance between the two points ( 7,8) and ( 7,-6) is 14 units.
We know that, each unit on the coordinate plane represents 1 block.
Therefore, there are 14 blocks from Ty’s house to the library.
i need help with both plz help
Answer:
6a + (6 x 3) = 60
or
6a + 18 = 60
Step-by-step explanation:
You have 6 students who are assigned an unknown amount of problems. We can write it as 6x. Then each is given 3 more problems, so now we have 6x + (6 x 3). We also know that in all they have 60 problems.
Therefore, the equation is:
6x + 18 = 60
Then just solve
6x + 18 = 60
- 18 -18
6x = 42
x = 7
Bao owns a small business selling used books. She knows that in the last week 20
customers paid cash, 26 customers used a debit card, and 13 customers used a credit
card.
Based on these results, express the probability that the next customer will pay with a
debit card as a percent to the nearest whole number.
Answer:
44% cahnce
Step-by-step explanation:
To solve this, add up all the customers. Then, divide the amount of debit card customers, by the total amount of customers. This will give you percentage of people who paid in debit, which is also the probability:
20+26+13
=
59
This is the amount of customers. Now we divide:
26/59
=
0.4406
Remember that to create percentage, you must multiply the decimal by 100:
0.4406*100
=
44.06%
The .06 is so small that it doesnt need to be kept in this percentage:
44%
So this is you answer!
Hope it helps! :)
Answer:
Step-by-step explanation:
3+3=6
answer overall is 28
Find the measure of angle x in the figure below.
Determine if the two triangles are similar. If they are similar, then which Triangle Similarity Theorem proves they are similar? *
1 point
Captionless Image
Answer:
Another way to prove triangles are similar is by SSS, side-side-side. If the measures of corresponding sides are known, then their proportionality can be calculated. If all three pairs are in proportion, then the triangles are similar.
Step-by-step explanation:
If the length of a rectangular television screen is 40 inches and its height is 30 inches, what is the length of its diagonal, in inches?
Pls help me its due in a hour :(
Answer:
50 inches
Step-by-step explanation:
30²+40² = c² (c²= diagnol)
900+ 1600 = √2500
√2500 = 50
This is also a pythagorean triple (30,40,50).
I NEED HELP I FORGOT HOW TO DO THIS AND I NEED HELP
-3x + 2<8
Answer:
x > -2
Step-by-step explanation:
-3x + 2 < 8
our goal is to isolate the x
subtract two from both sides
-3x < 8 - 2
- 3x < 6
divide both sides by -3
flip the sign because we divided by a negative number
x > -2
WILL GIVE BRAINLIEST! HELP ASAP!
The solution to an inequality is x < 3.5. Which of the following statements and graphs are true? Select all that apply.
Answer:
any nuber less then 3.5 and 5th awnser
Step-by-step explanation:
x is less then 3.5 so any number less then 3.5
5th one is true too because you can go into negitves and tehre is are infanite negitives
Answer:
The following statements and graphs are true:
x < 3.5
Any number that is less than 3.5 is a solution.
There are an infinite number of solutions.
The statement "x ≤ 3.5" is not true because the original inequality states that x is strictly less than 3.5, not less than or equal to 3.5. The statement "Any number that is greater than 3.5 is a solution" is also not true for the same reason. Finally, 3.5 is not a solution to the inequality because the inequality is strict: it only includes values of x that are strictly less than 3.5.
________________________________________________________
What is the difference between strict and non-strict inequalities?The difference between strict and non-strict inequalities is that strict inequalities use "<" or ">" symbols, which exclude the boundary values, while non-strict inequalities use "≤" or "≥" symbols, which include the boundary values.
For example, the inequality x < 5 is a strict inequality, which means that x can be any number less than 5, but it cannot be 5 itself. On the other hand, the inequality x ≤ 5 is a non-strict inequality, which means that x can be any number less than or equal to 5.
Similarly, the inequality y > -3 is a strict inequality, which means that y can be any number greater than -3, but it cannot be -3 itself. The inequality y ≥ -3 is a non-strict inequality, which means that y can be any number greater than or equal to -3.
What are some real-life applications of inequalities, and how are they used in various fields of study?Inequalities are used in a variety of real-life applications, including:
Business and economics: Inequalities are used to represent constraints in optimization problems, such as maximizing profits subject to resource limitations.
Engineering and physics: Inequalities are used to represent physical constraints, such as maximum and minimum values for quantities like speed, acceleration, and force.
Health and social sciences: Inequalities are used to represent inequalities in health outcomes and access to healthcare, as well as social inequalities related to income, education, and other factors.
Computer science and optimization: Inequalities are used to represent constraints in optimization problems, such as scheduling, routing, and allocation of resources.
Probability and statistics: Inequalities are used to bound the probability of events and to represent relationships between random variables.
Inequalities are also used in various fields of mathematics, including algebra, geometry, and analysis. They are important tools for proving theorems and solving problems in these areas.
I really need help with this, it's my last question. Please help!
Answer:
The measure of Angle M = 74.8°
Step-by-step explanation:
Cos(x) = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos(x) = [tex]\frac{26}{99}[/tex]
x = Cos⁻¹([tex]\frac{26}{99}[/tex])
x = 74.8°
So the measure of Angle M = 74.8°
Hope this helps!
Answer:
Trigonometry
since we have the adjacent and the hypotenuse we use CAH .We are looking for the angle we take the cos inverse
cos x = A
H
cos x = 26
99
x = cos -1 (26 ÷ 99)
x = 74.77404748
x= 74.8
Suzanne is baking cupcakes. Her cupcake recipe calls for 314 cups of flour. Suzanne has already added 235 cups of flour. How much more flour does Suzanne need to add in order to reach the amount called for in the recipe? Enter your answer as a fraction.
Answer:
179
Step-by-step explanation: First you would wanna add 70, to get to 100.
Then, add 9 to get to 314. add 70+9, that is your final answer.
TTQA: Suzanne needs to add 79 more cups of flour, to get to the anount called for in the recipe.
Graph the piecewise function.
Answer:
Y=32
Step-by-step explanation:
PLEASEEEE HURRY 30 POINTS!!!!!!!
What is the total surface area of the solid?
A.1004.4
B.1114.4
C.1290.4
D.1466.4
I need help with the ones I didn't do and did I do them right too?
Answer:
1) 64
2) 8
3) 2187
4) 5[tex]x^{2}[/tex]
5) 4[tex]x^{2}[/tex]
6) 12[tex]n^{5}[/tex]
7) 9[tex]x^{2}[/tex]
8) [tex]p^{9}[/tex]
9) 27[tex]p^{12}[/tex]
10) [tex]\frac{4x}{3}[/tex]
11) 4b
12) [tex]\frac{1}{4a^{2} }[/tex]
Step-by-step explanation:
Answer:
refer to the attachment
Help plz !!!!!!!!!!!!!!
Please help I need it now!
Answer: 40,000
Step-by-step explanation:
First 6 years: 5,000 + 5,000 = 10,000
Second 6 years: 10,000 + 10,000 = 20,000
Third 6 years: 20,000 + 20,000 = 40,000
Hope this helps!
Which equation represents a line that passes through (4, 5) and has a slope of 3/4 ?
Oy-- (x - 4)
Oy-} = (x-4)
O y = 4(x - 2)
O y - 4 =
The equation of line is y = ( 3/4 )x + 2 and the slope is m = 3/4
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 4 , 5 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = 3/4
And , equation of line is y - y₁ = m ( x - x₁ )
On simplifying , we get
y - 5 = ( 3/4 ) ( x - 4 )
y - 5 = ( 3/4 )x - 3
Adding 5 on both sides , we get
y = ( 3/4 )x + 2
Hence , the equation of line is y = ( 3/4 )x + 2
To learn more about equation of line click :
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GIVING BRAInLY !!!!! Which expression shows the result of applying the distributive property to 3(1/5x-1/7)?
(A) -3/5x-3/7
(B) 3/5x-3/7
(C) 3/5x+3/7
(D) -3/5x+3/7
Answer:
B. 3/5x-3/7
Step-by-step explanation:
You multiply when applying the distributative property
3(1/5x-1/7)
3/5x-3/7 multiply 3 by each value in parentheses.
Im confused in the wording on this question can someone tell me how to solve it with clear steps
Answer:
G
Step-by-step explanation:
Answer:
G: The printer prints 3 fewer pages per minute in colored ink than in black ink.
Step-by-step explanation:
The answer is G because the relation between the two different print jobs can be seen in the "33t" and "30t" values. The relation is showing that when the printer prints in black, it prints 3 more pages per minute.
How many boards 6in. Long can be cut from a board 2ft long
PLEASE HELP
Vectors u and v are graphed. Explain in detail each step necessary to find the angle between the two vectors and find the angle in degrees.
Answer:
Angle between vectors u and v: 26.56 degrees
Step-by-step explanation:
I just recently did this question, so here's my response and hopefully that helps you:
Vector u is <-3,-4> and vector v is <-2,-1>. To find the angle between the two vectors, you first need to find their dot product. This means that u*v = <-3,-4> * <-2,-1> = (-3)(-2) + (-4)(-1) = 6 + 4 = 10. Second, you find the product of each of the vectors' magnitudes. The magnitude for vector u is ||u|| = sqrt((-3)^2 + (-4)^2) = sqrt(9+16) = sqrt(25) = 5. The magnitude for vector v is ||v|| = sqrt((-2)^2 + (-1)^2) = sqrt(4+1) = sqrt(5). The product of the magnitudes would thus be ||u||||v|| = 5sqrt(5). Third, divide the dot product by the product of the magnitudes which would be u*v/||u||||v|| = 10/5sqrt(5) = 2sqrt(5)/5. Lastly, you take the arccosine of the result which would be theta=cos^-1(2sqrt(5)/5) = 26.56 degrees, which is the angle between vectors u and v.
The explanation for determining the angle between the two vectors and find the angle in degrees should be explained below.
Steps for determining the angle:Since
vector v is from (0,0) to ( -2,-1)
So,
[tex]\bar{v}=-2i-j[/tex]
Here, vector u is from (0,0) to (-3,-4)
So,
[tex]\bar{u}=-3i-j4[/tex]
Now here we used dot product concept
Now
[tex]\bar{u}.\bar{v}=|u|.|v|cos\theta\\ \bar{u}.\bar{v}=(-3i-4j).(-2i-j)=6+4=10\\ |u|=\sqrt{9+16}=5\\ |v|=\sqrt{4+1}=\sqrt{5}\\ cos\theta=10/(5*\sqrt5)=2/\sqrt5\\ \theta=cos^{-1}(2/\sqrt5)= 26.56^o[/tex]
Learn more about graph here: https://brainly.com/question/2111181
solve for system of linear equations by substitution
y = 2x + 3
y = 3x + 5
Answer:
(- 2, - 1 )
Step-by-step explanation:
Given the 2 equations
y = 2x + 3 → (1)
y = 3x + 5 → (2)
Substitute y = 3x + 5 into (1)
3x + 5 = 2x + 3 ( subtract 2x from both sides )
x + 5 = 3 ( subtract 5 from both sides )
x = - 2
Substitute x = - 2 into either of the 2 equations and evaluate for y
Substituting into (1)
y = 2(- 2) + 3 = - 4 + 3 = - 1
solution is (- 2, - 1 )
help pleaseeeeeeeeeeeew!!!!
I need sum help legit answers ONLY!!! also sho word pls IM GIVIN MAX PTS N BRANLIEST
Answer:
Ok so I see 34 as the dynamotor (I think that is how you spell it lol) and 27 as the height 3.14 as PIE would be for the radios divide 34 and you get 17 therefore 17 times 27 is 578 divide that by PIE aka * 3.14 you get 184 I believe this is correct.
Step-by-step explanation:
Aaron has 13 dimes and 10 quarters. Emily has the same amount of money as Aaron, but she only has nickels and dimes.
If Emily has 46 coins, how many nickels and dimes does she have?
Answer:
The answer
Step-by-step explanation:
16 nickels and 30 dimes