Using the graph below, what is the 10th term of the arithmetic sequence?
A.a10 = 26
B.a10 = 31
C.a10 = 30
D.a10 = 436
Answers
The 10th term of an arithmetic sequence can be found using the formula an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference. Without the graph or additional information, we cannot compute the 10th term for the given sequence.
Explanation:The question asks us to determine the 10th term of an arithmetic sequence using a provided graph. Unfortunately, the actual graph is not provided in the question. An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant, known as the common difference. To find the 10th term of an arithmetic sequence, we would use the formula:
an = a1 + (n - 1)d
where an is the nth term of the sequence, a1 is the first term, n is the term number, and d is the common difference. However, without the graph or additional information such as the first term or the common difference, we cannot accurately determine the 10th term, and any answer from the provided options would be purely a guess.
To find the 10th term of an arithmetic sequence, we need to use the formula an = a1 + (n-1)d, where an is the nth term, a1 is the first term, n is the position of the term, and d is the common difference. In this case, the common difference is -3. Substituting the values into the formula, the 10th term is -24.
Explanation:To find the 10th term of an arithmetic sequence, we need to identify the common difference and use the formula:
an = a1 + (n-1)d
where an is the nth term, a1 is the first term, n is the position of the term, and d is the common difference.
In this case, the given sequence is 3; 14; 11; 5; 16; 17; 28; 41; 31; 18. By comparing the terms, we can see that the common difference is -3.
Substituting the values into the formula:
a10 = 3 + (10-1)(-3) = 3 - 27 = -24
The 10th term of the arithmetic sequence is -24.
Related Questions
Gustavo tested 1000 calculators to see if any were defective. The company claimed that the probability of a defective calculator was 1% per 1000 calculators. Gustavo found 15 defective calculators out of 1000.
What was the predicted frequency?
Predicted Frequency . . .
=(# of trials)(theoretical probability)
=(1000)(0.01)
The predicted frequency was ____
A: 1
B: 10
C: 100
D: 1000
What was the relative frequency?
Relative Frequency = Observed Frequency/Total Number of Trails
The relative frequency was _____
A: 0.15%
B: 1%
C: 1.5%
D: 15%
Answers
a) The company claimed that there is 1% probability of defective calculators out of 1000.
So predicted frequency = 1% of 1000
= 0.01 x 1000
= 10
b) 15 defective calculators were found in 1000 calculators.
Relative Frequency = Observed Frequency / Total Number
= 15/1000 x 100%
= 1.5%
ITS 10
Then 1.5% thank this
A _____ is a type of variable that is not accounted for in a research experiment.
a. independent variable
b. dependent variable
c. confounding variable
Answers
Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain your reasoning.
Sample Response: A graphing calculator is more accurate than graphing by hand. If the slope and/or y-intercept is a fraction or decimal, it is more difficult to accurately graph by hand. Using a calculator might also be more time efficient because it might accept a line in any form. A calculator’s window can be adjusted quickly instead of having to redraw a graph by hand when adjusting the scale.
Answers
1) You can write the system of linear equations as big as you want. This is: systems 3 * 3, 4 * 4, 5 * 5.
2) The response to systems of equations greater than 2 * 2 can be complicated when you graph the solution, therefore, the graphing calculator can be much more efficient in these cases.
3) You can write the linear equations in any way. Resolving by hand you should probably rewrite the system of equations to find the solution.
2.1 + (–3.7h) + 1.9h – 1.4
Answers
2.1 - 3.7h + 1.9h - 1.4 = 0
0.7 - 1.8h = 0
1.8h = 0.7
h = 0.38888....
Use the number line to find the ratio AC/CF simplify the ratio
A. 8/20
B 2/5
C 8/12
D 2/3
Answers
it would originally be 8/20 but simplified it 2/5
Answer:
The correct option is D.
Step-by-step explanation:
From the given number line it is clear that A=0, B=2, C=8, D=14, F=20 and G=22.
The length of line segment AC is
[tex]AC=C-A=8-0=8[/tex]
The length of line segment CF is
[tex]CF=F-C=20-8=12[/tex]
The ratio of line segment AC to CF is
[tex]\frac{AC}{CF}=\frac{8}{12}[/tex]
Cancel out the common factors.
[tex]\frac{AC}{CF}=\frac{2}{3}[/tex]
The simplified ratio of [tex]\frac{AC}{CF}[/tex] is 2/3.
Therefore the correct option is D.
an angle bisector of a triangle divides the opposite side of the triangles into segments 6cm and 4cm long. A second side of triangle is 7.4 cm long. Find the longest and shortest possible lengths of the thrid side of the triangle
Answers
we can first assume the third side is x, therefore
7.4/6 = x/4
x = 7.4 × 4/6
x = 4.93 cm
We can also use,
7.4/4 = x/6
x = 7.4 ×6/4
x = 11.1 cm
Therefore, the shortest length of the third side is 4.93 cm while the longest length is 11. 1 cm
Which set of points lies on the graph of x = -2?
Answers
(-2,0)
(-2,2)
(-2,-2)
Since it's perfectly straight line, all the points with begin with -2. It's the same for graphs like y=-2, which would make them all end in -2. Hope this helped!
Find the smallest possible set (i.e., the set with the least number of elements) that contains the given sets as subsets. {jill, john, jack}, {susan, sharon}
Answers
Subsets make up the main set, so basically combine the subsets together.
The smallest possible set that contains the given sets as subsets is,
⇒ {jill, john, jack, Susan, sharon}
What is mean by Subsets?
A set 'A' is a subset of another set 'B' , if all the element of the set A are element of set of 'B'.
Given that;
The subsets are;
⇒ {jill, john, jack} , {Susan, sharon}
Now,
Clearly, A subsets of a set is contain all the elements of subsets.
So, We get the set;
Set = {jill, john, jack, Susan, sharon}
Thus, The smallest possible set that contains the given sets as subsets is,
⇒ {jill, john, jack, Susan, sharon}
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kelly ran 2 miles and burned 240 calories. the next day she ran 3 miles and burned 360 calories. the next day4 miles and 480 miles. if this pattern continues, how
many calories will she burn if she runs 8 miles?
Answers
120 calories x 8 miles = 960 calories
Kelly will burn 960 calories if she runs 8 miles.
Answer:
She will burn 960 calories if she runs 8 miles
PLEASE HELP ME!!!!!!!!!
Answers
Hope that helped! :)
A trowel is in the shape of a trapezoid. For what value of x is the trapezoid am isosceles trapezoid
Answers
A trapezoid becomes an isosceles trapezoid when its non-parallel sides, or legs, are of equal length. Thus, for a given length x, an isosceles trapezoid requires both legs to be x in length.
Explanation:A trapezoid is a geometric shape with one pair of parallel sides. A trapezoid becomes an isosceles trapezoid when the non-parallel sides (the legs) are equal in length. If we denote the length of the legs as x, then the trapezoid becomes an isosceles trapezoid when both legs are of equal length, meaning x equals x.
Without additional information such as the lengths of the base and height of the trapezoid or the angles within it, we cannot provide a specific numerical value for x. The key to remember here is that an isosceles trapezoid has equal length legs - so whatever value you have for one leg, the other leg must be the same for it to qualify as an isosceles trapezoid.
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Which algebraic expression represent the phrase “ seven more than half of a number”?
Answers
Hope this helps =)
Answer:
The given expression “ seven more than half of a number” can be written mathematically as [tex]7+\frac{1}{2}N[/tex]
Step-by-step explanation:
Given phrase “ seven more than half of a number”
We have to write the algebraic expression for the given phase.
Algebraic expression is the way of writing an expression in mathematical form using mathematical operations and variables.
Consider the given phrase “ seven more than half of a number”
Let the number be N,
Then half of number is [tex]\frac{1}{2}N[/tex]
and seven more means seven is added to this, the expresion becomes [tex]7+\frac{1}{2}N[/tex]
Thus, the given expression “ seven more than half of a number” can be written mathematically as [tex]7+\frac{1}{2}N[/tex]
Use the quadratic formula to solve for the roots of the following equation. x 2 – 4x + 13 = 0
Answers
By using the quadratic formula, the roots of the equation are,
⇒ x = 2 ± (√3/2) i
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The quadratic equation is,
⇒ x² - 4x + 13 = 0
Now, By using the quadratic formula, the roots of the equation are,
⇒ x² - 4x + 13 = 0
⇒ x = - (- 4) ± √ (- 4)² - 4×1×13 / 2
⇒ x = 4 ± √16 - 52 / 2
⇒ x = 4 ± √- 36 / 2
⇒ x = 4 ± √6 i / 2
⇒ x = 2 ± (√3/2) i
Thus, We get;
⇒ x = 2 ± (√3/2) i
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Final answer:
The roots of the quadratic equation x² - 4x + 13 = 0 are complex numbers, specifically 2 + 3i and 2 - 3i, obtained through applying the quadratic formula.
Explanation:
To solve the quadratic equation x² – 4x + 13 = 0 using the quadratic formula, we first identify a, b, and c from the equation. Here, a=1, b=-4, and c=13. The quadratic formula is ‘x' equals minus ‘b’, plus-or-minus the square root of ‘b’ squared minus four ‘a’ ‘c', all over two 'a'. Applying these values, we get:
x = – (-4) ± √((-4)² – 4(1)(13)) / (2)(1)
This simplifies to:
x = 4 ± √(16 – 52) / 2
x = 4 ± √(-36) / 2
Since the square root of -36 is 6i (where i is the imaginary unit √(-1)), the solutions are:
x = (4 ± 6i) / 2
x = 2 ± 3i
Therefore, the roots of the equation are 2 + 3i and 2 - 3i, which are complex numbers.
A town has a population of 2000 and grows at 4% every year what will be the population after 15 years to the nearest whole number
Answers
Answer:
3602
Step-by-step explanation:
The population of the town after 15 years will be approximately 3495.
Explanation:To find the population of the town after 15 years, we need to use the formula for compound interest: A = P(1 + r)^t, where A is the final amount, P is the initial amount, r is the growth rate expressed as a decimal, and t is the number of time periods. In this case, P = 2000, r = 0.04, and t = 15.
Using this formula, we can calculate the population after 15 years:
A = 2000(1 + 0.04)^15
A = 2000(1.04)^15
A ≈ 2000(1.747422)
A ≈ 3494.84
Rounding to the nearest whole number, the population after 15 years will be approximately 3495.
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The volume of a sphere is 3,000π m3. What is the surface area of the sphere to the nearest square meter? 165 m2 2,158 m2 1,079 m2 37,699 m2
Answers
Formula N° 1:
V=4/3(πr³)
V is the volume of the sphere (V=3,000π m³).
r is the radius.
Formula N° 2:
A=4πr²
A is the area of the sphere.
r is the radius.
As you can see, you don't have the value of the radius "r". So, you must rewrite the Formula N° 1, and clear "r":
V=4/3(πr³)
(3,000)(3)=4πr²
r³=9,000/4π
r=(9,000/4π)^1/3
r=13.1037 m
Then, to calculate the area of the sphere, you must substitute the value of "r" into the Formula N° 2:
A=4πr²
A=4π(13.1037)²
A=2,158 m²
What is the surface area of the sphere to the nearest square meter?
The answer is: 2,158 m²
Which equation models the problem below if c represents the number of puppies whose eyes are closed?
There are 15 puppies in a photograph, and 11 of them have their eyes open.
How many puppies have their eyes closed?
c – 11 = 15
11 – c = 15
15 + c = 11
11 + c = 15
Answers
c = represents the number of puppies whose eyes are closed.
We can then write the following equation:
15 = 11 + c
Rewriting the equation:
11 + c = 15
Clearing c:
c = 15-11
c = 4
4 puppies have their eyes closed
Answer:
11 + c = 15
4 puppies have their eyes closed
Answer:
11+c=15
Step-by-step explanation:
4 pups have their eyes closed
1. Sarah bought a mango tree that grows 4 cm each day. It was 10 cm tall when she bought it and now it is 82 cm. Write an equation to express the growth of this tree. Let "x" represent the number of days Sarah has owned the tree.
2. How many days has Sarah owned the tree?
Answers
72 = 4x
x = 72/4
x = 18
she owned it for 18 days
2. 18 days
Need help I dont know how to do this please help!
2. Graph the number on a number line.
10/7
Answers
10/7= 1 3/7, so we have a whole number now
solve for the fraction,
3/7=0.4
this will give you the decimal form which is 1.4
The number line illustration to this is (see attached photo)
It is 1 bar to the right and less than a half.
What are the two equations created by the inequality |x–12| + 5 < 27? y1= and y2=
Answers
| x-12 | <27-5
| x-12 | <22
Then
We write the problem as a compound inequality:
-22 <x-12 <22
From here, we obtain 2 equations:
-22 <x-12
x-12 <22
Rewriting:
-x + 12> 22
x-12 <22
Answer:
the two equations created by the inequality | x-12 | + 5 <27 are:
-x + 12> 22
x-12 <22
Answer:
y1= |x-12|
y2= 22
Which graph represents the two functions? Graph 3
Step-by-step explanation:
The school cafeteria has two meal options in the main line today: a grilled chicken sandwich or a spicy fried chicken sandwich one lunch period, 60 people order the grilled chicken sandwich, and 90 people order the spicy fried chicken sandwich. 40 of the eople who ordered the grilled chicken sandwich got a chocolate mitk to drink. If the sandwich choice and the drink choice are independent, how many of the people who ordered the spicy fried chicken sandwich got a chocolate milk?
Answers
Answer:
60 of the people who ordered the spicy fried chicken sandwich got a chocolate milk.
Step-by-step explanation:
Consider the provided information.
60 people order the grilled chicken sandwich, and 90 people order the spicy fried chicken sandwich.
40 Out of 60 people who order grilled chicken sandwich got a chocolate milk to drink.
Let say x number of people out of 90 got chocolate milk drink.
Now we need to find the people who ordered the spicy fried chicken sandwich got a chocolate milk.
The above information can be written as:
[tex]\frac{40}{60}=\frac{x}{90}[/tex]
[tex]\frac{40}{60}\times 90=x[/tex]
[tex]x=20\times 3[/tex]
[tex]x=60[/tex]
Hence, 60 of the people who ordered the spicy fried chicken sandwich got a chocolate milk.
The number of people who ordered the spicy fried chicken sandwich and got a chocolate milk is calculated as 50.
The number of people who ordered the spicy fried chicken sandwich and got a chocolate milk is to be determined.
Step-by-step explanation:
Calculate the total number of people who ordered the spicy fried chicken sandwich minus the number who got a chocolate milk with the grilled chicken (90 - 40 = 50).Therefore, 50 people who ordered the spicy fried chicken sandwich got a chocolate milk.Please help me solve for r
Answers
.. K +7s = 4r
Divide by the coefficient of r.
.. (K +7s)/4 = r
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The Polygons are similar, but not necessarily drawn to scale. Find the value of x.
Answers
4 times 4=16
2 times 4=8
2.5 times 4=10
what minus 3 equals ten?
Hannah completed 3/4 of her homework on Saturday morning and 1/8 ofit on Saturday night. How much more homework does she need to complete?
Answers
You have a least common denominator. 3/4 is the same as 6/8. 6/8 + 1/8 = 7/8 leaving a remainder of 1/8
Graph y= 1/3x+3 .I just need to know the plots
Answers
Answer:
The graph shows the given straight line.
Step-by-step explanation:
We are given an equation:
[tex]y = \displaystyle\frac{1}{3}x + 3[/tex]
The attached image shows the graphical plot for the given equation.
If we compare the given equation to the
[tex]y = mx+c[/tex]
where m is the slope and c is the y-intercept of the straight line.
Comparing, we get:
[tex]m = \displaystyle\frac{1}{3}\\\\c = 3[/tex]
The line will pass by the points (-3, 2), (0, 3), and (3, 4)
Given is an equation y = x/3+3 we need to graph it,
Let's pick a few x-values and determine the y-values that go with them:
Y equals (1/3) when x = -3(-3) + 3 = -1 + 3 = 2
Y = (1/3)(0) + 3 = 0 + 3 = 3 when x = 0.
Y = (1/3)(3) + 3 = 1 + 3 = 4 for x = 3.
The points (-3, 2), (0, 3), and (3, 4) can now be plotted on the coordinate plane.
A straight line running across these locations will form the graph.
The line will have a positive slope because the value of x is positive (1/3).
Given that the y-intercept is 3, the line will cross the y-axis at (0, 3).
The plotted points (-3, 2), (0, 3), and (3, 4) lie on the line, and the line continues indefinitely in both directions.
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Jeannette earns $3.50 per hour and 4% commission on the gross amount of
her sales. How much did she earn the week she worked 35 hours and sold
$4,550 worth of merchandise?
a. $304.50
b. $182
c. $186.90
d. $122.50
HELP ASAPPP
Answers
[tex]3.5 \times 35 = 122.5 \\ \%4 \: of \: 4550 = 182 \\ 122.5 0+ 182 = 304.50[/tex]
so A is true
Jeremiah scored 28 points in yesterday's basketball game. He made a total of 17 baskets. Some of the baskets were field goals (worth two points) and the rest were free throws (worth one point). How many field goals did Jeremiah make? How many free throws did he make?
Answers
.. 6 free throws, hence 11 field goals.
Answer:
6 and 11
Step-by-step explanation:
What is value of x?
https://static.k12.com/nextgen_media/assets/8093716-NG_GMT_SemB_08_UT_12.png
Answers
The calculated measure of the angle x is 76 degrees
How to determine the measure of the angle xFrom the question, we have the following parameters that can be used in our computation:
The figure
Also, we have
Angle with a measure of 76 degrees
By the theorem of corresponding angles, we have
x = 76
Hence, the measure of the angle x is 76 degrees
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Mr Savage used 3 gallons of paint to cover 1,350 square feet of wall space. At this rate, how much paint will be needed to cover 1,800 square feet
Answers
This problem is solved using a rule of three
we know that
Mr Savage used 3 gallons of paint to cover--------------> 1,350 square feet
X--------------------------------------------------------------------> 1,800 square feet
X=1800*3/1350=4 gallons
the answer is 4 gallons
Please help with 2 questions.
Answers
15/9 = 5/3 or C
For area you take the ratio for the perimeter and square it so
5/3 * 5/3 = 25/9
Willem bought a jacket on sale. the price was 40% off the original price of $60. how much did he pay? answer
Answers
60 - 24 = $36
He paid 36 dollars.
"40% off" means they're offering a discount on the jacket, so Willem eill be saving money.
To calculate how much Willem will pay after the discount, we must first find and subtract the discount from the cost of the jacket.
60 × 40% (or 0.40) = 24
Subtract this:
60 - 24 = 36
ANSWER:
Willem paid $36.00 for the jacket.