Answer:
[tex]-5,-7[/tex]
It is Arithmetic.
Step-by-step explanation:
1) A sequence is geometric when it goes from a term to the next term by multiplying by the same number, which is called "Common ratio" ([tex]r[/tex]).
2) A sequence is arithmetic when it goes from a term to the next term by adding or subtracting a common value. This value is called "Common difference" and it is denoted with [tex]d[/tex].
Then, given the following sequence:
[tex]3, 1, -1, -3[/tex]
- Let's find out if it is geometric by dividing each term by its previous one. Then:
[tex]\frac{-3}{-1}=3\\\\\frac{-1}{1}=-1[/tex]
Since there is no Common ratio, it is not a Geometic sequence.
- Now let's see if it is arithmetic by subtracting each term by its previous one:
[tex]-3-(-1)=-2\\\\-1-1=-2\\\\1-3=-2[/tex]
You can idenfity that it has a Common difference:
[tex]d=-2[/tex]
Therefore, it is an Arithmetic sequence.
The next to terms are:
[tex]-3-2=-5\\\\-5-2=-7[/tex]
Which polygon has exactly one pair of parallel sides? A. rectangle B. trapezoid C. parallelogram D. square
Answer:
B. trapezoid
Step-by-step explanation:
The other three have two pairs of parallel sides
Answer:
B
Step-by-step explanation:
Max takes a taxi to work one day. The taxi charges. A $6 flat fee plus $0.25 per mile. Max wants to spend exactly $12.50. How many miles will he travel in the taxi for this amount?
Bill works in a hardware store. sixteen hours represent 40% of bills work week. How many hours does bill work in one week?
slope of (0,3) and (-4,-1)
Find the missing angle in the following right triangle with a second angle that measures 32degrees
Check the picture below.
Will brought a 144-ounce cooler filled with water to soccer practice. He used 16 ounces from the cooler to fill his water bottle. He then took out 16 plastic cups for his teammates and poured the same amount of water into each cup.
Find the number of ounces of water, x, that Will could have poured into each cup.
Answer:
x ≤ 8
Step-by-step explanation:
The number of ounces of water x that Will could have poured into each cup is 8 or less than 8. by solving through inequality.
What is inequality?Inequality is just like equation which expresses relationship between two or more variables but it is in greater than or less than form. It is just like:
x+ y<c.
How to form inequality?Let the capacity of each cup be x.
According to question
16x+16<=144
16x<=144-16
16x<=128
x<=8.
Hence the number of ounces of water that Will could have poured into each cup is 8 or less than 8.
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3x 2 - 6 = 10 - x 2
{±1}
{±2}
{±4}
Answer:
x = ± 2
Step-by-step explanation:
Given
3x² - 6 = 10 - x² ( add x² to both sides )
4x² - 6 = 10 ( add 6 to both sides )
4x² = 16 ( divide both sides by 4 )
x² = 4 ( take the square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2
b {+2}
1111111111111111111111
PLEASE I NEED TO KNOW ASAP
i know this is probably easy but i don’t understand it.
1.666666667x10^3 in 1 decimal place not in standard form
would it be something like 1.06
3,400,000
I thaink but not shore if wrong i'm sorry
Answer:
666.6
Step-by-step explanation:
1.666666667*10^10^3= 666.6
Show how to use mental
Math to find 513 - 198
Answer:
311
Step-by-step explanation:
you could try to round it for example 510-200=310
310+3=313
313-2=311
PLEASE.HELP ASAP. STEP BY STEP PLZ. Suppose the distance in miles traveled from home to school is 15 miles. suppose it takes 36 minutes. Find the time in hours traveled from home to school. The minutes can be
divided by 60 to get hours. For example 45 minutes = 45/60 =0.75 hours. Write the answer at a
number only with a zero before the decimal, ie.0.75.
mrs. sorbel has 25 students in her class .21 students are wearing their badges. what percent of mrs.sorbels class is not wearing their badge
Answer:
84% I believe
Step-by-step explanation:
Answer:
84%
Step-by-step explanation:
You take the 21 students with badges and multiply by 100. You get 2,100, take that and divided by 25. You get 84 percent ( I think it’s the answer so sorry if it’s wrong)
Quotient of 4 and a number increased by 10
Answer:
x+10/
Step-by-step explanation:
Quotient of 4 =divide by 4
a number increased by 10= x+10
The statement 'Quotient of 4 and a number increased by 10' can be translated into a mathematical expression as 4/x + 10, where x is the unknown number.
Explanation:If you mean the quotient of 4 and a number, we call that unknown number 'x'. So, the quotient of 4 and a number x is written as 4/x. Then, according to your question, that quotient is increased by 10. In mathematics, 'increased by' typically equates to the operation of addition. Thus, the entire expression translates into mathematical terms as 4/x + 10.
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What is the constant of this proportionality for 1 4, 2 8, 3 12, 4,16
Answer:
k = 4
Step-by-step explanation:
The constant of proportionality is found by starting with y = kx, then finding k.
We can just use one point (such as the first one, (1,4) ) and substitute these values of x and y into the equation y = kx, to get:
4 = k x1
k = 4.
So y = 4x
(we can also check that all the other points also satisfy this equation - which they do, as each y value is 4 times the corresponding x value)
Answer:
4
Step-by-step explanation:
Determine the general form of the equation for the circle x^2 + (y + 1)^2 = 2.
Answer:
x² + y² + 2y - 1 = 0
Step-by-step explanation:
The general form of the equation for the circle:
x² + y² + ax + by + c = 0
Where: a, b and c are constants.
For the given equation:
x² + (y + 1)² = 2
∴ x² + (y + 1) (y+1) = 2
∴ x² + y² + 2y + 1 = 2 ⇒ subtract 2 from both sides
∴ x² + y² + 2y + 1 - 2 = 2 - 2
∴ x² + y² + 2y - 1 = 0
So, the general form of the equation for the circle:
x² + y² + 2y - 1 = 0
PLEASE HELP ME MAKE HONOR ROLL PLEASE NEED HELP
Translate this phrase into an algebraic expression.
71 less than twice Julie's age
Use the variable j to represent Julie's age.
Answer:
71 < 2 · j
Step-by-step explanation:
71 less than twice Julie's age
Use the variable j to represent Julie's age.
71, less than (<) twice (2) and j represents the age
16.3k + 19.2 + 7.5k = -64.1
You need to find "k", by isolating/getting "k" by itself in the equation
16.3k + 19.2 + 7.5k = -64.1 First combine like terms, 16.3k and 7.5k
23.8k + 19.2 = -64.1 Subtract 19.2 on both sides
23.8k = -83.3 Divide 23.8 on both sides to get "k" by itself
k = - 3.5
Which is the simplified form of n-6p3
The simplified form of n-6p³ is n-6p³.
Explanation:To simplify the expression n-6p³, we need to combine like terms. Since n and 6p³ do not have any common factors, the simplified form of the expression is n-6p³.
Convert 2671, to base 3 without first converting to base 10.
I do not understand the second half of the question but 2671 in base 3 is 10122221
Answer:
10122221 base 3
Step-by-step explanaUrtion:
Please help on this 8 questions ASAP
Answer:
2. either of two angles whose sum is 180°.
3. each of the pairs of opposite angles made by two intersecting lines.
4. Two angles are adjacent when they have a common side and a common vertex (corner point) and don't overlap.
5. The acute angle is an angle less than 90°
6. It is more than 90° and less than 180°.
7. an angle of 90°
8. an angle of 180°
the weight of 80 screws in a jar of identical screws is 2 ounces. what is the weight, in ounces, of 4 screws
The weight of 4 screws is 0.1 ounces
Step-by-step explanation:
The problem can be solved by setting up a proportion.
In fact, we know that:
- The weight of 80 screws is 2 ounces
- So we want to find the weight of 4 screws
We can write the following proportion:
[tex]\frac{80}{2}=\frac{4}{x}[/tex]
where
x is the weight of 4 screws
Solving the equation, we find:
[tex]x=\frac{4\cdot 2}{80}=0.1[/tex]
So, the weight is 0.1 ounces.
Learn more about relationship between variables:
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what is 1/4 + 3/7? please explain how to solve it.
Answer: 19/28
Step-by-step explanation: Notice that 1/4 and 3/7 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.
The common denominator of 4 and 7 will be the least common multiple of 4 and 7 which is 28.
To get a 28 in the denominator of 1/4, we multiply the numerator and the denominator by 7 which gives us 7/28.
To get a 28 in the denominator of 2/7, we multiply the numerator and the denominator by 4 which gives us 12/28.
Now to add like fractions or fractions that have the same denominator, we simply add the numerators and keep the original denominator.
So here, we have 7 + 12 which is 19 and we put this over our original denominator which is 28.
So, 1/4 + 3/7 = 19/28.
The volume of industrial production increased ten times. What was this increase in percent?
Answer:
1000%
Step-by-step explanation:
Think of 1x10. This is kinda hard to explain but if lets say 1 is 100% of the total number then you mutiply it by 10 you also mutiply the percent which in this case was 100% of 1.
900 % is the correct answer UvU
Have a good day!
|1/2(16−6^3)| plz help
Answer:
I believe the answer to this question is: 100.
the mean of 100 numberical observations is 37.53. what’s the value of the sum of all 100 numbers
Answer: 3753
explanation: Mean is the average so divide 3753 by 100 to get 37.53.
The perimeter of a rectangle is 30 inches. Its length is three times its width. Write an equation to represent the problem
Answer:
Eqn of the problem: 2(3x + x) = 30
Solution: Width = 3.75 inches and Length= 11.25 inches
Step-by-step explanation:
We are given;
The perimeter of the rectangle as 30 inches Length is 3 times its widthWe are required to represent the equation of the problem;
Assuming the width = x inches, then;Length = 3x inchesThe formula for getting the perimeter of a rectangle is;
Perimeter = 2 (l+w)
In this case;
2(3x + x) = 30
Therefore;
The equation for the problem is;
2(3x + x) = 30
8x=30
Thus;
8x = 30
x = 3.75 inches
3x = 11.25 inches
Hence, the with is 3.75 inches while the length is 11.25 inches
Enter the fraction 33100 as a decimal
Answer:
0.33
Step-by-step explanation:
If you have the number 1 and divide it by 100, you get 1/100, 0.01, or 1% of 1. If you multiply 1/100 by 33, you get 33/100, 0.33, or 33% of 1.
which expression is equivalent to 3y-8+(-7y)+8
Answer:
I believe the answer to this question is: -4Y
What is the solution of the system?
10x−2y=24
6x+2y=8
Enter your answer in the box, as an ordered pair
Answer:
The solution is (2, -2)
Step-by-step explanation:
Let's find out the solution of the system:
10x − 2y = 24
6x + 2y = 8
Describing x in terms of y in the first equation, this way:
10x − 2y = 24
10x = 24 + 2y
x = 2 * (12 + y)/10 (Dividing by 10 at both sides)
x = (12 + y)/5 (Simplifying)
Solving for y in the 2nd equation:
6x + 2y = 8
6 * (12 + y)/5 + 2y = 8
(72 + 6y)/5 + 2y = 8
72 + 6y + 10y = 40 (Multiplying by 5 at both sides)
16y = 40 - 72
16y = -32
y = -2
Solving for x in the 1st equation:
10x − 2y = 24
10x - 2 * -2 = 24
10x + 4 = 24
10x = 24 - 4
10x = 20
x = 20/10
x = 2
The solution is (2, -2)
WILL GIVE BRAINLY
The equation of the line of best fit of a scatter plot is y = -5x - 2. Vhat is the slope of the equation?
Answer:
A line of best fit is a straight line that best represents the data on a scatter plot. The equation of the best fit line is y = ax + b. In this form, a is the slope of your best fit line and b is the y-intercept.
Answer:-5
Step-by-step explanation:
this is because it’s the X value. That’s the slope
The last line of a proof represents