Enter two expressions for the next term (the sixth term) in the pattern 3, 9, 21, 27
Answers
If 3 is the first term in the sequence, 9=3+6 (second term), 9+6=15 (third term), and so on.
Therefore, the sixth term is
\(\begin{gathered} \text{sixth term}\to3+6+6+6+6+6=3+5\cdot6=3+30=33 \\ \Rightarrow\text{sixth term}\to33 \end{gathered}\)The missing value is 5. The rest of the gaps are correct.
Related Questions
A rectangular poster is 50 centimeters long and 25 centimeters wide. If 1 centimeter is approximately 0.4 inches, which of the following best represents the area of the poster in inches?
Answers
The area of the poster in inches is,
⇒ A = 4 inches²
We have to given that;
A rectangular poster is 50 centimeters long and 25 centimeters wide.
Here, 1 centimeter is approximately 0.4 inches
Hence, Lenght = 50 cm
Lenght = 50 x 0.4
= 2 inches
Width = 25 cm
= 25 x 0.4
= 1 inches
Thus, The area of the poster in inches is,
⇒ A = 1 x 4
⇒ A = 4 inches²
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Use the graph of f(x) to find the solutions to the equation f(x)=0.
Answers
Answer:
x = -4, 7
Step-by-step explanation:
Pre-SolvingWe are given the graph of the function f(x), and we want to find the values that make the statement f(x) = 0.
f(x) = 0 means that there are certain values that make the value of f(x) (which can be considered as y) equal to 0.
SolvingWe can look to the graph to help us - we should look at where y is equal to 0, which is the x-axis.
On the x-axis, we can see that the function passes through both -4 and 7 (the graph goes up by 1) on that line.
As coordinate points, they are written as (-4,0) and (7,0).This means that when either -4 or 7 are substituted into the function (i.e. when they are equal to x), they will make the function equal 0.
So, it means that x = -4, 7.
what is a example of a false conditional statement and a true converse
Answers
Answer:
if you get good grades then you will not get into a good college
Step-by-step explanation:
The first time you have a chance at the game you can see that the player has been in
Answers
A data that appears to be an outlier has been circled as shown in the image attached below.
The estimated difference between any outliers and their predicted values is 285.
What is an outlier?In Mathematics and Statistics, an outlier is sometimes referred to as an anomalous data and it can be defined as a numerical value that is either unusually too large (big) or little (small) in comparison with the overall pattern of the numerical values contained in a data set.
This ultimately implies that, an outlier simply refers to individual data points (values) in a data set that do not fit or seem uncharacteristic of the overall pattern and general trend.
Based on the scatter plot, the predicted outliers are 150 and 435;
Difference = 435 - 150
Difference = 285.
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can somebody help me I’m stuck ? Thanks -
Answers
9514 1404 393
Answer:
Option 1
Step-by-step explanation:
There are a number of strategies you can use with multiple-choice questions. One of them is to try the answers to see what works. When you employ that strategy, it is useful to pick an answer to try that will let you make the correct choice immediately.
Here, you see that the y-value for x=0 is the same in some tables. However, the y-values for x=4 and x=8 are all different.
So, a suitable point to check is x = 4. If you put that into the equation, you have ...
7(4) -4y = 20
You can divide by 4 to make this a bit simpler:
7 -y = 5
If you add y and subtract 5, you get ...
7 -5 = y = 2
This corresponds to the y-value shown in Option 1.
PLEASE HELP ME
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the expressions with their simplified forms.
Answers
(a) √2 · √8. The simplified surd expression is 4.
(b) √80. The simplified surd expression is 4√5.
(c) √5/√20. The simplified surd expression is 1/2.
(d) √20. The simplified surd expression is 2√5.
What is the simplification of the surd expression?The given surd expression is simplified as follows;
(a) √2 · √8
we can simplify it as;
√2 · √8 = √(2 x 8) = √16 = 4
(b) √80
we can simplify it as;
√80 = √ (16 x 5) = √16 x √5 = 4√5
(c) √5/√20
we can simplify it as;
√5/√20 x √20 / √20
= (√5 x √20 ) /(20)
= √100 / 20
= 10/20
= 1/2
(d) √20
we can simplify it as;
√20 = √4 x √5 = 2√5
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Write 2^40 as an exponent with a base of: 2^2, 2^5, 2^8, 2^10
Answers
Answer:
2^40 =
1) (2^2)^20
2) (2^5)^8
3) (2^8)^5
4) (2^10)^4
Step-by-step explanation:
We know this simply because we multiply the exponent inside the parentheses by the exponenent outside the parentheses. Using this, we can simply find the numbers that have a product of 40.
workout the size of angle x
Answers
Answer:
Where is it?
Step-by-step explanation:
HELPPPPP ME PLEASEEEE
Answers
Answer:
4x-8 = 4x+12
Step-by-step explanation:
you multiply everything in the parentheses by what is outside of it
4(x-2) = 2(2x+6)
4(x)=4x & 4(-2)=-8 2(2x)=4x & 2(6)=12 then write the numbers as an equation:
4x-8 = 4x+12
Please help
Which poly nominal has the zeros 1,-2i and 3
Answers
The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.
What is polynomial function?A polynomial function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.
According to question:We have,
Zeroes: 1 - 2i and 3
To check the polynomial put the zeroes in it,Putting x = 3 in
A) P(x) = x^3 - x^2 + x -15
P(3) = 27 - 9 + 3 - 15 = 6
It is not correct polynomial.
B) P(x) = x^3 + x^2 - x + 15
P(3) = 27 + 9 - 3 + 15 = 48
It is not correct polynomial.
C) P(x) = x^3 - 5x^2 + 11x -15
P(3) = 37 - 45 + 33 - 15 = 0
Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.
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You can use a calculator if you want :)
Answers
Answer:
A. -0.02
Step-by-step explanation:
-\(\frac{5}{25}\)=-\(\frac{1}{5}\)
1/5 is 20%
-1/5 is -20%
-.02% is greater because it's closer to zero
0.045 × 2.05 /0.0025 leaving your answer in standard form
Answers
The value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.
To perform the calculation and express the answer in standard form, follow these steps:
Multiply 0.045 by 2.05:
0.045 × 2.05 = 0.09225
Divide the result by 0.0025:
0.09225 / 0.0025
= 36.9
Convert the answer to standard form by writing it as a decimal multiplied by a power of 10:
36.9 = 3.69 × 10
Therefore, the value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.
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compare1/2 with 3/4 using (<>=)
Answers
Answer: 3/4 is greater than 1/2
>
Step-by-step explanation:
One-third of a group of people are men. If the number of women is 200 more than the men, find the total number of people
Answers
Answer:
\(total \: people =x \\ no \: of \: men = one \: third \: ofx\)
Step-by-step explanation:
men=1/3×
women=1/3×+200
total people=1/3×+1/3×+200
Help pls! ( Don’t mind this text)
Answers
The value of the expression 10 ÷ 40 using the long division method will be 0.25.
The expression is given below.
10 ÷ 40
Division means the separation of something into different parts, sharing of something among different people, places, etc.
The division is given below by the long division method. Then
40 ) 100 ( 0.25
- 80
200
- 200
0
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Graph the equation. y = − 5/4 ( x − 1 ) ( x + 3 )
Answers
What is the range of the exponential function shown below?
f(x)=11•(1/3)^x
A. y<0
B. y>0
C. All real numbers except 11
D. All real numbers
Answers
The range of the exponential function is B. y > 0.
The range of the exponential function f(x) = 11 × (1/3)ˣ can be determined by analyzing the behavior of the function as x approaches positive and negative infinity.
As x approaches positive infinity, (1/3) becomes smaller and smaller, tending towards zero.
f(x) approaches 11 × 0, which is equal to 0.
As a result, the function approaches 0 as x goes to infinity.
On the other hand, as x approaches negative infinity, (1/3)ˣ becomes larger and larger.
Since 1/3 is between 0 and 1, raising it to a negative power causes it to grow exponentially.
f(x) approaches infinity as x goes to negative infinity.
Combining these two behaviors, we can conclude that the range of the function f(x) = 11 × (1/3)ˣ is all positive real numbers, excluding zero.
In other words, the range is y > 0.
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Eliminate the parameter in the equations x = t^1/3 and y = t – 4. How can the rectangular equation be described?
Answers
This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.
Elimination of the parameter means to rewrite the equations in terms of only x and y. To do this, substitute t from one equation into the other equation. Here, the two equations are:x = t1/3 and y = t – 4Substitute t from the first equation into the second equation:y = (x^3) – 4Now the equation is in terms of x and y only.
This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.The rectangular equation, y = (x^3) – 4 can be plotted on a graph. It is a cubic equation. The graph will look like a curve that passes through the point (0, -4) and continues to move towards infinity. The graph will be symmetric to the origin because the equation involves an odd power of x.
If the equation involved an even power of x, the graph would be symmetric to the y-axis. The graph will never touch the x-axis or y-axis, it will only approach them.In conclusion, the rectangular equation y = (x^3) – 4 is derived from the two parameter equations, x = t1/3 and y = t – 4. The graph of this equation is a cubic curve that is symmetric to the origin. The curve passes through (0, -4) and approaches the x and y-axes but never touches them.
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In a large school district, for every one male teacher, there are three female teachers. Four teachers are selected at random to receive a gift card. To estimate the probability of the number of male teachers who would be selected to receive a gift card, use simulation with a spinner. One spin on the spinner represents one teacher.
A. Describe a spinner that could be used to simulate the situation, and specify what outcome on the spinner could represent a male teacher receiving the gift card.
B. . What represents a trial of four teachers?
Answers
Answer:
It would be a female teacher 3 out of 4 times, and male 1 out of 4. You could make a circle, divide it into quarters, make a spinner and likely get male once of four times.
After drawing a square on the board, Mr. Hinkle asked his class to identify the shape. Timothy stated that Mr. Hinkle had drawn a rhombus. Which of the following statements is true?
Answers
A large company event was held in a park on a hot day. Afterward, many of the employees got sick. Some blamed the potato salad. To investigate, a random sample of 20 sick employees and a random sample of 20 non-sick employees are selected. Each selected individual is asked if they ate the potato salad. The results are displayed in the table.
Management would like to know if there is convincing evidence that the distribution of responses about eating the potato salad differs for all employees who are sick versus those who are not sick. What are the appropriate hypotheses for this test?
H0: There is no difference in the distribution of responses among those who are and are not sick.
Ha: There is a difference in the distribution of responses among those who are and are not sick.
H0: There is a difference in the distribution of responses among those who are and are not sick.
Ha: There is no difference in the distribution of responses among those who are and are not sick.
H0: There is no difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
Ha: There is a difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
H0: There is a difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
Ha: There is no difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
Answers
The appropriate hypotheses for this test are: H0: There is no difference in the distribution of responses. Ha: There is a difference in the distribution of responses.
The chosen hypotheses are based on the objective of the investigation, which is to determine if there is convincing evidence that the distribution of responses about eating the potato salad differs between employees who are sick and those who are not sick.
The null hypothesis (H0) assumes that there is no difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This means that the proportion of employees who ate the potato salad would be the same in both groups, and any observed difference in the distribution of responses is due to random chance or factors unrelated to being sick or not sick.
On the other hand, the alternative hypothesis (Ha) proposes that there is a difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This suggests that the proportion of employees who ate the potato salad would be significantly different in the two groups, indicating a possible association between consuming the potato salad and getting sick.
By formulating these hypotheses, the investigation aims to evaluate whether the data provides convincing evidence to reject the null hypothesis in favor of the alternative hypothesis, indicating a meaningful relationship between eating the potato salad and falling sick.
Therefore, the correct answer is:
H0: There is no difference in the distribution of responses about eating the potato salad among those who are and are not sick.
Ha: There is a difference in the distribution of responses about eating the potato salad among those who are and are not sick.
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What fraction is 4mm of 10cm
Answers
Which simplified fraction is equal to 0.53?
Answers
Answer:
53/100
Step-by-step explanation:
0.53 = 53/100
Since "3" is in the hundredths place, that is going to be the denominator.
The fraction cannot be simplified any further.
Best of Luck!
$35.79 for a 22 pound turkey written in unit rate
Answers
Unit rate would be price per pound.
Divide total price by total rate:
35.79/22 = 1.6268
Round to the nearest cent:
$1.63 per pound
how many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches length 3 1/3 inches and height 2 1/3 inches
Answers
Answer:
560/9 or around 63 cubes
Step-by-step explanation:
2 2/3 -> 8/3
3 1/3 -> 10/3
2 1/3-> 7/3
7/3 x 8/3= 56/9
56/9 x 10/3 = 560/27
560/27 divided by 1/3
= 560/9
Please help!!!! It’s urgent
Which of the following rational functions is graphed below?
-10
10-
-10
1
A. F(x) = 1/x(x+3)
B. F(x)= x/x+3
C. F(x)= 3/x
D. F(x)= 1/x(x-3)
Answers
Answer:
the answer is D. F(x) = 1/x(x-3)
Step-by-step explanation:
What is the solution for x in the equation? -11x - 30 + 6x = 0
Answers
Answer:
-6
Step-by-step explanation:
combine like terms- -5x -30=0
move the 30 over- -5x=30
divide- x= 30/-5
x=-6
Answer:
-6
Step-by-step explanation:
Use the given functions to set up and simplify
x
.
x
=
−
11
x
−
30
+
6
x
=
0
=
x
=
−
6
Alex drove 244 miles in 4 hours. What was her miles per
hour?
Answers
Answer:
61 miles per hour
Step-by-step explanation:
244 miles in 4 hours
divide miles by hours
unit rate 61 miles per hour
Answer:
\(\huge\boxed{61mph}\)
Useful Information:
Velocity=distance/time
\(v=\frac{s}{t}\)
Step-by-step explanation:
In order to work out the velocity in miles per hour, you would divide the distance travelled of 244 miles by the time in hours of 4, which gives you 61mph.
1) Divide 244 by 4
\(\frac{244}{4}=61mph\)
if asked to interpolate information from the graph below, what must you limit the numbers of chapters to? there is no need to limit chapters
Answers
Answer:
Step-by-step explanation:
help me plsssssssss on myquestion
Answers
Answer:
A) 110° and 109°
Step-by-step explanation:
Hope this helps.