Given the list of numbers, 3, 2, 6, 3, 9, 5, 12, 7, if the pattern continues, what is the sum of the ninth and tenth numbers?
Answers
Answer:
Step-by-step explanation:
Every other one beginning with the first 3 adds 3 to the preceding number that has an odd position.
So the odd positions go up 3 6 9 12
And the next odd position is 15 which is the nineth term.
It's hard to tell what the even ones are doing. It could be anything just about. I'm guessing its a 9. So the tenth term is 9.
The sum of 9 and 15 = 24
If someone gives you a more consistent answer, take it.
Related Questions
Find the slope of the line passing through the points (6, 4) and (6, -3).
Answers
Answer:
undefined
Step-by-step explanation:
slope = (y_2 - y_1)/(x_2 x_1)
slope = (-3 - 4)/(6 - 6)
slope = -7/0
Since division by zero is undefined, this line has undefined slope.
1) How much interest will you pay on a $43,000 car loan with a fixed APR of 4.9% if the loan is
for 5 years?
Answers
With a monthly repayment of $809.49, the total interest on the car loan will be $5,569.67.
How is the total interest computed?We assume that there are monthly repayments and compounding interest on the car loan.
With periodic repayments and compounding interest, the total interest paid on the car loan will be as shown by the car loan calculator.
Car loan = $43,000
Down payment = $0
Fixed Annual Percentage Rate (APR) = 4.9%
Loan term = 5 years
Car Loan Calculator with monthly Repayment:
Payment = $809.49/month
Interest Paid =$5,569.67
Total Paid = $48,569.67
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I have attached a picture of the question but have typed out the option, i know a little bit about the function and what it would look like but im confuzed on what the plane y=?z=sin(xy)Give reasons for your choices. This function is [zero / linear / parabolic / period] in both x and y, and the function is [the same / not the same]when x is interchanged with y, so its graph is [ symmetric / not symmetric] about the plane y =[ ] . In addition, the function is [zero / linear / parabolic / periodic ] along the x- and y-axes. These conditions are satisfied only by [A / B / C / D / E / F ] and [ I / II / III / IV / V / VI ].
Answers
The function is periodic in both x and y, and the function is the same when x is interchanged with y, so its graph is symmetric about the plane y = 0. In addition, the function is periodic along the x- and y-axes. These conditions are satisfied only by C and IV.
A: The function plane does not have a zero or linear behavior, so this option is not correct.
B: The function does not have a linear behavior, so this option is not correct.
C: The function is periodic in both x and y, so this option is correct.
D: The function does not have a parabolic behavior, so this option is not correct.
E: The function does not have a periodic behavior, so this option is not correct.
F: The function does not have a linear behavior, so this option is not correct.
I: The function is the same when x is interchanged with y, so this option is correct.
II: The function is not symmetric about the plane y = 1, so this option is not correct.
III: The function is not symmetric about the plane y = 2, so this option is not correct.
IV: The function is symmetric about the plane y = 0, so this option is correct.
V: The function is periodic along the x- and y-axes, so this option is correct.
VI: The function is not linear along the x- and y-axes, so this option is not correct.
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If 3w +6=21 find the value of w
Answers
Answer:
\(3w + 6 = 21 \\ 3w = 15 \\ w = 5\)
Hey there!
\(\mathsf{3w + 6 = 21}\)
SUBTRACT 6 to BOTH SIDES\(\mathsf{3w + 6 - 6 = 21 - 6}\)
CANCEL out: 6 - 6 because that gives you 0 KEEP: 21 - 6 because it helps you solve for w\(\mathsf{21 - 6 = \boxed{\bf 15}}\)
NEW EQUATION: \(\mathsf{3w = 15}\)DIVIDE 3 to BOTH SIDES\(\mathsf{\dfrac{3w}{3}=\dfrac{15}{3}}\)
CANCEL out: \(\mathsf{\dfrac{3}{3}}\) because that gives you 1KEEP: \(\mathsf{\dfrac{15}{3}}\) because that gives you the value of wNEW EQUATION: \(\mathsf{\dfrac{15}{3}=w}\)\(\mathsf{\dfrac{15}{3}=\boxed{\bf 5}}\)
\(\boxed{\boxed{\large\textsf{Therefore, your answer: \huge \bf w = 5}}}\huge\checkmark\)
\(\large\text{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Female athletes receive 25
Answers
Select the correct graph. Which graph is the graph of function f?f(x)=4x
Answers
The graph of the function is added as an attachment
How to determine the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = 4x
The above expression is a linear equation that implies that:
Slope = 4
y-intercept = 0
Next, we plot the graph using a graphing tool
One of the points on the line is (1, 4)
See attachment for the graph of the equation
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Evaluate -3z when z=6
Answers
PLUG IN 6 IN THE PLACE OF z AND SIMPLIFY
WE DO THIS SINCE IT IS STATED THAT z IS EQUAL TO 6.
\( = - 3(6) \\ = - 18\)
The answer is -18
3x+(8x-16) simplest form
Answers
Step-by-step explanation:
3x × 8x- 3x×16
24x -48x
-24x
Nolan was given a box of assorted chocolates for his birthday. Each night, Nolan treated himself to some chocolates. There were originally 30 chocolates in the box and after 8 nights, there were 6 chocolates remaining in the box. Write an equation for
C
,
C, in terms of
t
,
t, representing the number of chocolates remaining in the box
t
t days after Nolan's birthday.
Answers
The equation of remaining chocolate C in terms of t is C = 30 - 3t.
What is an equation?A mathematical statement called an equation demonstrates the balance or equality of two expressions. It contains of variables, integers, and mathematical operations and is denoted by the equal symbol (=). Equations may be solved to determine unknown values and are used to express relationships between various quantities. To solve for x in the equation 2x + 3 = 7, for instance, remove 3 from both sides, which gives 2x = 4, then divide both sides by 2, which gives x = 2.
Given that,
Initial number of chocolates in box = 30
Also given that after 8 nights, number of remaining chocolates = 6
Implies that,
In 8 nights, 24 chocolates were treated.
In 1 night, 3 chocolates were treated.
The equation of remaining chocolate C in terms of t can be written as
C = 30 - 3t.
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16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Answers
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
A family of statisticians is trying to decide if they can afford for their child to play youth baseball. The cost of joining a team is normally distributed with a mean of $750 and a standard deviation of $185. If a sample of 40 teams is selected at random from the population, select the expected mean and standard deviation of the sampling distribution below.oz= $185 oz= $29.25 oz = $4.63 nu2 = $118,59 0 nu2 = $18.75 nu2= $750
Answers
If a sample of 40 teams is selected at random from the population, the expected mean is $750 and the standard deviation is $29.25
The mean of the cost of joining a team = $750
Standard deviation = $185
A sample of 40 teams is selected at random from the population
The expected standard deviation = \(\sqrt{\frac{185^2}{40} }\)
= $29.25
Here the cost of joining a team is normally distributed with a mean of $750
Here the distribution of the cost of joining is normal the mean of the sample distribution, so it will be equal to the mean of the population
The mean = $750
Therefore, the standard deviation is $29.25 and the mean is $750
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Which number sentence shows one way to find the sum of 4 and 5?
Answers
Answer:
x-5=4 or simply 4+5
Step-by-step explanation:
Im not sure if this is how you mean they both have a way of showing the sum of 4 and 5.
Answer:
4 + 4 + 1 = 9
Step-by-step explanation:
to solve this, we first find the sum of 4 and 5, which is 9.
Then, we can observe our answer choices, and see that option 4.) would be correct, because the sum still is equal to nine, even though the numbers are different from the original problem.
Find an equation for the line
Answers
Answer:
\(y=-\frac{4}{3}x+\frac{14}{3}\)
Step-by-step explanation:
Slope (m) formula: \(\frac{y_2-y_1}{x_2-x_1}\)
\(m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{6-(-2)}{-1-5} \\\\m=\frac{6+2}{-1-5} \\\\m=\frac{8}{-6} \\\\m=-\frac{4}{3}\)
\(y=mx+b\)
\(y=-\frac{4}{3} x+b\)
(-1, 6)
\(y=-\frac{4}{3} x+b\\\\6=-\frac{4}{3}(-1)+b\\\\6=\frac{4}{3}+b\\\\3(6=\frac{4}{3}+b)\\\\18=4+3b\\\\-4 -4\\\\14=3b\\\\/3 /3\\\\14/3=b\)
\(y=-\frac{4}{3}x+\frac{14}{3}\)
Hope this helps!
Can anyone help me on this one
Answers
Hello !
Answer :
\({x}^{ - \frac{8}{3} }\)\(\sqrt[3]{ {x}^{ - 8} }\)\(\sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }\)Explanation :
\( \to \boxed{ ({x}^{a}) {}^{b} = {x}^{ab} } \)
\( \to \boxed{ {x}^{ \frac{1}{n} } {}^{} = \sqrt[n]{x} } \)
\( ({x}^{4} ) {}^{ - \frac{2}{3} } = {x}^{- \frac{2}{3} \times 4} \\ \boxed{= {x}^{ - \frac{8}{3} } } \\ \boxed{= \sqrt[3]{ {x}^{ - 8} }} \\ \boxed{ = \sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }}\)
Have a nice day ;)
In the standard (x, y) coordinate plane, what is the
distance between the origin and the point (,5 –12)
Answers
Answer:
13
Step-by-step explanation:
You simply apply the distance formula:
\(d=\sqrt{(\Delta x)^2+(\Delta y)^2} =\sqrt{(5-0)^2+(-12-0)^2} = \sqrt{25+144}=\sqrt{169}=13\)
How many cubes would it take to fill the box
Answers
Answer:
27359265815502254
Step-by-step explanation:
52758552
The percentage profit earned by selling a watch for Nu 1920 is equal to the percent loss incurred by selling the same watch for Nu 1280. At what price should the watch be sold to make 25% profit
Answers
Answer:
2,000
Step-by-step explanation:
The computation of the price that should be sold for making 25% profit is shown below:
Let cost price be x
Now the equation would be
(1,920 - x) ÷ x × 100 = (x - 1,280) ÷ x × 100
1,920 - x = x - 1,280
2x = 3,200
x = 1,600
Now the sale price would be
= 1,600 × 1.25
= 2,000
Solve the equation below
m/4 = -25.6 m=?
What is m?
Answers
Answer:
m= 102.4
Step-by-step explanation:
Step 1: Multiply both sides by 4.
m/4 =25.6
(m/4)*(4)=(25.6)*(4)
m= 102.4
Suppose that the readings on the thermometers are normally distributed with a mean of 0∘ and a standard deviation of 1.00∘C.
If 12% of the thermometers are rejected because they have readings that are too high, but all other thermometers are acceptable, find the reading that separates the rejected thermometers from the others.
Answers
The reading that separates the rejected thermometers from the others is given as follows:
1.175 ºC.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for this problem are given as follows:
\(\mu = 0, \sigma = 1\)
The 12% higher of temperatures are rejected, hence the 88th percentile is the value of interest, which is X when Z = 1.175.
Hence:
1.175 = X/1
X = 1.175 ºC.
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pls help. i dont get it
Answers
Answer:
hey what don't u get? u didn't show the question
Carlos plotted the points (-4,-4) and (0, 3) and connected them with a line, as shown below.
What is the slope between the two points?
Answers
Answer:
The slope between the two points is 7/4
Step-by-step explanation:
Slope of a Line
Suppose we know a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)
The points plotted by Carlos are (-4,-4) and (0,3), thus the slope is:
\(\displaystyle m=\frac{3-(-4)}{0-(-4)}\)
\(\displaystyle m=\frac{7}{4}\)
The slope between the two points is 7/4
Deymarius drank 2/3 of a quart of water. Wesley drank 1/6 of a quart of water. how many quarts of water did they drink all together?
Answers
Answer:
5/6 quarts of water
Step-by-step explanation:
2/3 same as 4/6. 4/6 + 1/6 = 5/6
Show how to use the distributive property to simplify 4(5+x)
Answers
Step-by-step explanation:
4x5 + 4x
The 4 is distributed to the 5 and the 'x' in the bracket
Hope this helps
Hey there!
The Distributive Property states the following:
a(b+c)=ab+ac
Where
a, b, and c can be either variables or constants
Now that we know what the property states, let's simplify our expression:
4(5+x)
4 times 5 and 4 times x:
20+4x
Hence, the answer is
\(\boxed{\boxed{\bold{20+4x}}}\)
Hope everything is clear,
Let me know if you have any other questions.
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Maria buys a plant that is 478 inches tall. The plant grows 578 inches.
How tall is the plant now?
934
978
1034
1078
Answers
Answer: 1056 in.
Step-by-step explanation:
It's simple, really. all you have to do is add 478 and 578, since the plant's height is 478, and it grew 578 inches. and 478 + 578 = 1056. so now, the plant is 1056 inches tall. I don't know why the answer is not in your list of answers, but i confirmed that it is 1056 in.
Dexter rode his bike 2 kilometers. Then, he walked 955 meters more to go fishing. How many total meters did Dexter travel to go fishing?
Answers
Answer:
The Answer is 2955.
Step-by-step explanation:
First convert 2 km to meters. 1 km = 1,000 meters. So, 2 km = 2x1,000. Dexter walked 955 meters. We can add to find out how far he traveled all together. 2,000+955=2,955 meters. Dexter traveled a total of 2,955 meters to fishing.
Answer:
2955
Step-by-step explanation:
In the 1800s psychologists established______
behavior and mental processes.
Answers
Answer:
the scientific approach led to the birth of modern psychology in the 1800's as psychologists argued that ideas about human behavior and mental processes should be supported by this. In the 1800's, psychologists established these for the (scientific study of human behavior and mental processes).
Step-by-step explanation:
What is the value of y?
Thankss
Answers
180-40 = 40
Answer is 40°
As angles in a triangle add up to 360°
Answer:
40 degrees
Step-by-step explanation:
The angles of a triangle add together to 180 degrees, so you need to add the two numbers and subtract 180 from the answer you got:
60 + 80 = 140
180 - 140 = 40
Please answer the problem in the picture below.
Answers
Answer:
C) 6 cm.
Step-by-step explanation:
Let's define some variables.
Let AH = h, MH = x.
The attached file is a drawing of the givens.
A triangle's area is found using the formula \(A = \frac{b \times h}2\), where:
A = The area of the triangle
b = The base of the triangle
h = The height of the triangle (In our case, AH)
We'll use the given lengths and area of triangle TAH to find the height:
\(12 = \frac{8 \times h}2\\12 = 4h\\h = 3\)
We will now do the same but with triangle MAH to find MH:
\(9 = \frac{3 \times x}2\\18 = 3x\\x = 6\)
The length of MH is 6 cm.
Sarah predicted that she could text 80 words
per minute on her phone. However, she only
texted 52 words per minute. What was Sarah's
percent error?
Prediction Actual |
| Actual |
Round to the nearest percent.
Hint: Percent error =
-
x 100
Answers
Answer:
20
Step-by-step explanation:
percentage error = predictions - actual ÷actual × 100
error
\( \frac{82 - 52 \\ }{52} \times 100\)
=
20
house designer uses computer-aided drawings to illustrate new houses. She likes to show her drawings to clients on a large screen. She often uses the zoom-in function to enlarge the drawings so that clients can see certain features better.
Each click of the zoom-in button results in a 10 percent increase in the size of a drawing.
(a) On a certain drawing of a house, the width of the front door is 3 inches on screen, using the default settings. Make a table of values to show the width of the door on screen after each of the first four clicks of the zoom-in button. These values should be accurate to the thousandths place.
(b) Write an algebraic rule for the function that will give the display size of the door for any number of clicks.
c) To show clients a detail on the front door, she needs to zoom in so the door is approximately 3 feet wide on screen. How many clicks of the zoom-in button will be needed to make this enlargement? Explain how you got your answer.
d) Suppose one click of the zoom-out button results in a 10 percent decrease in the size of the drawing. How many clicks of the zoom-out button would it take to transform the display of the door from 3 feet wide back to a width of approximately 3 inches?
Explain how you got your answer.
Answers
(a) Clicks Width of Door (inches)
1 3.3
2 3.63
3 3.99
4 4.39
(b) The function is y = 3 (1.1)ˣ.
(c) It would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.
(d) It would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.
(a)
Clicks Width of Door (inches)
1 3.3
2 3.63
3 3.99
4 4.39
(b) Let x be the number of clicks and y be the width of the door on the screen. Then, we can write the algebraic rule as:
y = 3 (1.1)ˣ
(c) To make the door approximately 3 feet wide on screen, we need to convert 3 feet to inches, which is 36 inches. Then, we need to solve for x in the equation:
3 (1.1)ˣ = 36
Dividing both sides by 3, we get:
(1.1)ˣ = 12
Taking the logarithm of both sides (with base 1.1), we get:
x = log(12) / log(1.1) ≈ 14.7
So, it would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.
(d) To transform the display of the door from 3 feet wide back to a width of approximately 3 inches, we need to find the number of clicks of the zoom-out button that will result in a width of approximately 3 inches. We can use the same formula as before, but with the initial width of 36 inches (since we are zooming out):
36 (0.9)ˣ = 3
Dividing both sides by 36, we get:
(0.9)ˣ = 1/12
Taking the logarithm of both sides (with base 0.9), we get:
x = log(1/12) / log(0.9) ≈ 11.5
So, it would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.
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