The required terms are 7, 3 and 0. The correct option is (c).
What is an arithmetic sequence?
An arithmetic sequence is a kind of sequence of numbers where the difference of any two consecutive terms are the same.
This difference is known as the common difference of the sequence.
The given sequence is as below,
33, 25, 18, 12, …….
The difference between the consecutive terms is given as,
D₁ = 25 - 33
= -8
D₂ = 18 - 25
= -7
D₃ = 12 - 18
= -6
It is clear that the difference between the consecutive terms are in arithmetic progression.
Thus, the next differences can be found as,
D₄ = -6 + 1
= -5
D₅ = -5 + 1
= -4
And, D₆ = -4 + 1
= -3
The next three terms of the sequence can be written as,
12 - 5 =7, 7 - 4 = 3, 3 - 3 = 0.
Hence, the next three terms of the given sequence are 7, 3 and 0.
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Lulu has to buy paper towels. She can buy 3 rolls for $2.97, 12 rolls for $10.80, or 20 rolls for $18.40. Assuming all the rolls are the same type of paper towel which is the best deal?
Answer:
The best deal is 12 rolls for $10.80
Step-by-step explanation:
2.97 divided by 3= $0.99 No
12 rolls for $10.80= $0.90 = $21.6 for 24 rolls
20 rolls for $18.40=$0.92=
0.92 times 4= $3.68
18.40+$3.68=$22.08 for 24 rolls
If f(x) = 3(x + 1) - 5x and g(x) = 12 - (6x - 7), solve the equation you get when
f(x) = g(x). Help ASAP pls!
Answer:
X=4
Step-by-step explanation:
F(x)=g(x)
3(x + 1) - 5x=12 - (6x - 7)
3x+3-5x=12-6x+7
-2x+3=19-6x
-2x+6x=19-3 (collecting like terms)
4x=16 (divide both side by 4 (
X=4
Autumn buys 9 bottles of orange juice at the corner store for a total cost of $10.71. If each bottle costs the same amount, how much is each bottle of juice?
Answer:
1.19$ each
Step-by-step explanation:
10.71/9= 1.19
The Kraken is a mythical creature that was said to be known to consume ships whole. The great creature has long tentacles that are covered with suction cups. The kraken has a total of 8 tentacles and 1,000 suction cups total. The next number needed to open the treasure is the unit rate of suction cups per tentacle.
Answer:
The kraken has 125 suction cups on each tentacle.
Step-by-step explanation:
We know that the kraken has 8 tentacles, and a total of 1000 suction cups.
We can find the answer by dividing 1000 by 8 to find the unit rate of suction cups per tentacle.
Name four fractions whose values are between 1/6 and 1/4
Answer:
1/9, 1/8, 1/7,1/5
Step-by-step explanation:
The fraction between 1/6 and 1/4 are 17/100, 19/100,1/5, and 21/100.
What is numerator and denominator?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.
In another word, if we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.
For example a fraction 1/5 here 1 will be the numerator and 5 will be denominated.
Given the fraction
1/6 = 0.16
1/4 = 0.25
Now all values in between of it will be the answer.
So,
0.17 = 17/100
0.19 = 19/100
0.20 = 20/100 = 1/5
0.21 = 21/100
Hence "The fraction between 1/6 and 1/4 are 17/100, 19/100,1/5, and 21/100".
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segment E prime F prime has endpoints located at E'(1, 0) and F'(1, 3). segment EF was dilated by a scale factor of one half from the origin. Which statement describes the pre-image? segment EF is located at E (0.5, 0) and F (0.5, 1.5) and is half the size of segment E prime F prime. segment EF is located at E (1, 0) and F (1, 3) and is the same size as segment E prime F prime. segment EF is located at E (2, 0) and F (2, 6) and is twice the size of segment E prime F prime. segment EF is located at E (3, 0) and F (3, 9) and is three times the size of segment E prime F prime.
9514 1404 393
Answer:
C. segment EF is located at E (2, 0) and F (2, 6) and is twice the size of segment E prime F prime
Step-by-step explanation:
If the image is 1/2 the size of the original (scale factor = 1/2), the original is twice the size of the image. Each of the original coordinates is double the image coordinate value.
E(2, 0) = 2×E'(1, 0)
F(2, 6) = 2×F'(1, 3)
Answer:
segment EF is located at E (2, 0) and F (2, 6) and is twice the size of segment E prime F prime.
Step-by-step explanation:
just took test and got it correct
Find the standard deviation for the group of data items.
16, 17, 18, 19, 20
Answer:
Hope it helps, please give brainlest!
Step-by-step explanation:
Please answer this question for me quick
A 2-column table with 6 rows. Column 1 is labeled Tables with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Chairs with entries 6, 12, 18, 24, 30, 36.
Rachel needs two tables for her birthday party. How many chairs will she need?
Answer:
The answer is 12
Step-by-step explanation:
i got it right
Answer:
the answer is 12
Step-by-step explanation:
Find the missing dimension.
Use the scale 1: 15.
Item: Pipe
Model: Length: 5 ft
Actual: Length:___ft
Answer:
75ft
Step-by-step explanation:
Hello There! With the information given in the problem we can set up a ratio in order to help us solve for the actual length that the model is scaled upon.
This ratio can be written as:
[tex]\frac{1ft}{15ft}[/tex]
From this we just set up another ratio in relation to the original. In this one we will be solving for x.
[tex]\frac{1ft}{15ft}[/tex] x [tex]\frac{5ft}{x}[/tex]
After solving for x we find that the actual model should be roughly 75ft.
Hope this helps!
-HM
What is the complete factorization of 36y2 - 1?
A.
6(y + 1)(y- 1)
B.
(6y + 1)(6y-1)
O c. (6y-11²
OD. (-6)(y + 6)
Answer:
c
Step-by-step explanation:
Natalie walked 3/5 miles in 1/2 hour. How fast did she walk, in miles per hour?
Answer:
1.2 mph
Step-by-step explanation:
PLEASE MARK BRAINIEST
If y varies directly as the cube of x, and y=
54 when x = 3, find y when x= 5.
Answer:
250
Step-by-step explanation:
From the question given above,
y varies directly as the cube of x. This can be written as
y ∝ x³
y = Kx³
Next, we shall determine the value of the constant (K) as follow:
y = 54
x = 3
K =?
y = Kx³
54 = K × 3³
54 = K × 27
Divide both side by 27
K = 54/72
K = 2
Finally, we shall determine the value of y when x is 5. This can be obtained as follow:
x = 5
K = 2
y =?
y = Kx³
y = 2 × 5³
y = 2 × 125
y = 250
Therefore, the value of y is 250
triangles ABC and DEF are similar
find the length of segment DF
Answer:
2.68
Step-by-step explanation:
In similar triangles, the corresponding sides are in same ratio
[tex]\frac{DF}{AC} =\frac{DE}{AB}\\\\\frac{DF}{4} = \frac{1.34}{2}\\\\ DF = \frac{1.34}{2}*4\\\\DF = 1.34 * 2 \\\\DF = 2.68[/tex]
An ant can travel at a constant speed of 980 cinches every 5 minutes. At this rate٫how far can the ant travel in 7 minutes?
divide 980 in. by 5 minutes to figure out how many inches an ant moves in a minute. that ends up to be 196 in/minute. from there, multiply 196 in. by seven, leaving the sum as 1372. hope this helps, please mark brainliest and have an amazing day
Answer:
This answer is only an estimate but I think the ant could travel 1372 inches in 7 minutes.
Step-by-step explanation:
The problem states that the ant could travel 980 inches every 5 minutes so, if you divide 980 by 5 you should get 196. So this means that every minute the ant could travel 196 inches, and the question is, how far can the ant travel in 7 minutes? So to get the answer you should only need to multiply 196 to 7 then you should get 1372. Hope this helps and if you could mark this as brainliest. Thanks
describe the steps to graph 2x 3y=6
Answer:
wheres the addition or subtraction etc. in between the 2x and 3y
Step-by-step explanation:
??????
PLEASE HELP!!!
At a basketball game, 95% of people attending were supporting the home team, while 5% were supporting the visiting team. If 532 people attending the game supported the home team, what was the total number of people attending the game?
Answer:3800
Step-by-step explanation:
sorry if i got it wrong :/
3 n - 5 p + 2 n = 10 p for n
Answer:
n = 3p
hope this works
PLS HELP WILL MARK BRAINLYEST
Step 1: Constructing and analyzing scatterplots
You keep track of the daily hot chocolate sales and the outside temperature each day. The data you gathered is shown in the data table below.
Hot Chocolate Sales and Outside Temperatures
Sales ($) $100 $213 $830 $679 $209 $189 $1,110 $456 $422 $235 $199
Temperature (°F) 92° 88° 54° 62° 85° 16° 52° 65° 68° 89° 91°
a) Make a scatterplot of the data above. (2 points)
b) Do you notice clusters or outliers in the data? Explain your reasoning. (2 points)
c) How would you describe the correlation in the data? Explain your reasoning. (2 points)
d) What are the independent and dependent variables? (2 points)
Step 2: Evaluating trends of data
Because you want to prepare and serve the healthiest food possible, you monitor the fat and calorie content of items on your menu. Some of the menu items are included in the graph below.
a) Your business partner describes this as a high positive correlation. Is your partner correct? Why or why not? (2 points)
b) Using the drawing tools, draw a trend line (line of best fit) on the graph above. (2 points)
c) Judge the closeness of your trend line to the data points. Do you notice a relationship between the data points? (2 points)
d) Is the trend line linear? If so, write a linear equation that represents the trend line. Show your work. (3 points)
Step 3: Making predictions using data
You and your business partner track the number of customers served and the amount of tips collected per day. The data you gathered is displayed in the chart below.
Servers’ Collected Tips
Customers 54 46 34 67 52 22 49 64 55 80 38 42
Tips ($) $92 $80 $76 $121 $109 $43 $87 $114 $99 $174 $88 $91
a) Create a scatterplot displaying the data in the table. Be sure to include a linear trend line. (2 points)
b) Find the equation of the trend line (line of best fit). Show your work. (2 points)
c) Predict the amount of tips that would be collected if 100 customers were served at the restaurant on a given day. Explain your reasoning. (2 points)
d) Explain how to use the regression calculator to make a reasonable prediction given a data table. (2 points)
Answer:
Chile you didn´t even try like why so many dang questions
Step-by-step explanation:
A .
b . Yes,I do 1,110 is a cluster because it’s a very large number for 52 degrees and 189 is because it’s a very large number for 16 degrees.
c . There is a negative correlation.
D . The dependent variable is sales and independent variable is the temperature.
A. yes my partner is correct because the line goes diagonally upwards.
B. The trend line lies on the points (0,100) and (15,900)D .
C . Yes do see a relationship. This line move one direction up. notice how the dots move up like an escalator.
D. Yes do see a relationship. This line move one direction up. notice how the dots move up like an escalator.
I didn´t finish the rest but i gave you some of it :)
Answer:
I can confirm the guy above me is correct ; )
Step-by-step explanation:
yur moma
Can someone help with this one? You get 35 points
Answer:
the answer is d
Step-by-step explanation:
What would be the volume of a tree that has a radius of 2 feet and a length of 14 feet?
A. 87.92 cubic feet
B. 124.54 cubic feet
C. 175.84 cubic feet
D. 212.72 cubic feet
Answer:
C) 175.84 cubic feet
Step-by-step explanation:
V=πr^2h is the formula I used
I plugged in the numbers and solved
The volume of the tree with a radius of 2 feet and a length of 14 feet is
176 feet³.
What is a cylinder?A cylinder is a three-dimensional figure that has a radius and a height.
The volume of a cylinder is given as πr²h.
Example:
The volume of a cup with a height of 5 cm and a radius of 2 cm is
Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm
We have,
The tree is in the form of a cylinder.
Radius = 2 feet
Height = 14 feet
Now,
The volume of the tree.
= πr²h
= 22/7 x 2 x 2 x 14
= 22 x 2 x 2 x 2
= 22 x 8
= 176 feet³
Thus,
The volume of the tree is 176 feet³.
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there are 112 students for 14 teachers write the rate as a fraction then find the unit rate
Answer:
8 students for every teacher
Step-by-step explanation:
112 divided by 14 is 8
Answer:
8 students per teacher
Step-by-step explanation:
[tex]\frac{112}{14\\}[/tex]=[tex]\frac{8}{1}[/tex] You get this by dividing both numbers by 14.
What is the value of g(f(-5))?
Replace x in the equation for f(x) with -5:
|2x +9| = |2(-5) +9| = |-10 +9| = |-1| = 1
Now find x 1 and see where the graph of G(x) crosses the Y :
It crosses ay Y = 5
The answer is A. 5
Answer:
The correct answer is A. 5.
Step-by-step explanation:
I got it right on the Edmentum test.
Time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value 9 min and standard deviation 2 min. If five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min?
Answer:
When the sample size is [tex]n_1 = 5[/tex] ,
[tex]P( X < 11) = 0.9875[/tex]
When the sample size is [tex]n_2 = 6[/tex] ,
[tex]P( X < 11) = 0.993[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 9 \ min[/tex]
The standard deviation is [tex]\sigma = 2 \ min[/tex]
The first sample size is [tex]n_1 = 5[/tex]
The second sample size is [tex]n_2 = 6[/tex]
Generally the standard error of the mean is mathematically represented as
[tex]\sigma_{x} = \frac{\sigma}{ \sqrt{n} }[/tex]
=> [tex]\sigma_{x} = \frac{2}{ \sqrt{5} }[/tex]
When the sample size is [tex]n_1 = 5[/tex] ,
Generally the standard error of the mean is mathematically represented as
[tex]\sigma_{x} = \frac{\sigma}{ \sqrt{n} }[/tex]
=> [tex]\sigma_{x} = \frac{2}{ \sqrt{5} }[/tex]
=> [tex]\sigma_{x} = 0.894[/tex]
Generally the probability that the sample average amount of time taken on each day is at most 11 min is mathematically represented as
[tex]P( X < 11) = P( \frac{X - \mu }{\sigma } < \frac{11 - 9 }{0.8944 } )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P( X < 11) = P( Z < 2.24 )[/tex]
From the z table the area under the normal curve to the left corresponding to 2.24 is
[tex]P( Z < 2.24 ) = 0.9875[/tex]
=> [tex]P( X < 11) = 0.9875[/tex]
When the sample size is [tex]n_2 = 6[/tex] ,
Generally the standard error of the mean is mathematically represented as
[tex]\sigma_{x} = \frac{\sigma}{ \sqrt{n} }[/tex]
=> [tex]\sigma_{x} = \frac{2}{ \sqrt{6} }[/tex]
=> [tex]\sigma_{x} = 0.816[/tex]
Generally the probability that the sample average amount of time taken on each day is at most 11 min is mathematically represented as
[tex]P( X < 11) = P( \frac{X - \mu }{\sigma } < \frac{11 - 9 }{0.816 } )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P( X < 11) = P( Z < 2.45 )[/tex]
From the z table the area under the normal curve to the left corresponding to 2.24 is
[tex]P( Z < 2.45 ) = 0.993[/tex]
=> [tex]P( X < 11) = 0.993[/tex]
if y varies directly as x and y= 6 when x= 10 find x when y=18
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
y ∝ x
y = kx
k = 0.6
The value of x when y = 18 is 30.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 5y is an equation.
2x + 4 + 9 is an equation.
We have
if y varies directly as x.
This can be written as,
y ∝ x
y = kx _____(1)
From (1),
y = 6 when x= 10
6 = 10k
k = 6/10
k = 0.6
Now,
y = 0.6x
when y = 18,
18 = 0.6x
Divide both sides by 0.6.
x = 18/0.6
x = 180/6
x = 30
Thus,
y ∝ x
y = kx
k = 0.6
The value of x when y = 18 is 30.
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Someone Help Me Please. ?
Answer:
c
Step-by-step explanation:
Answer:
The answer is B I think.
Step-by-step explanation:
Notebooks are priced 3.20 for 4 notebooks Pencils are priced 4.80 for 12 pencils calculate the unit rate for cost per pencil. Make sure you show your reasoning
Answer:
to find the answer for 1 pencil you just need to divide
Step-by-step explanation:
3.20$ divide by 4=0.8 /each pencil cost 0.8
4.80$ divide by 12=0.4 /each pencil cost 0.4
Multiply. Do not round your answer. Be sure to include a decimal point in your answer.
1.7 · 11.59 =
Answer:
19.703
Step-by-step explanation:
Answer:
Step-by-step explanation:
11.59
* 1.7 Remove the decimal point 3 spaces (remember to add that at the end)
1159
* 17
________
8113
11590
_________
19,703 add the decimal space => 19.703
What is 3 ÷ 2/5 ? I need your help please
Answer:
[tex]\frac{15}{2}[/tex]
Step-by-step explanation:
Answer:
0.3 or 3/10
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 16 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles
Answer:
First: 30°
Second: 67°
Third: 83°
Step-by-step explanation:
First: x
Second: y
Third: z = y + 16
Constraints:
x + y + z = 180
y + z = 5x ===> y = 5x - z
Substitution to find first angle x:
x + y + z = 180
x + (5x - z) + z = 180
x + 5x - z + z = 180
6x = 180
x = 30
Substitution to find second angle y:
y = 5x - z
y = 5(30) - z
y = 150 - z
y = 150 - (y + 16)
y = 150 - y - 16
y = 134 - y
2y = 134
y = 67
Substitution to find third angle z:
z = y + 16
z = (67) + 16
z = 83
Answer:
x=30 y=67 z=83
Step-by-step explanation:
The solution is therefore (30,67,83).