Answers
Answer:
a32 = -80
Step-by-step explanation:
The generic term of an arithmetic sequence is ...
an = a1 +d(n -1)
Using the supplied values for an and n, we can write two equations that can be solved for a1 and d.
-221 = a1 +d(79 -1)
-14 = a1 +d(10 -1)
Subtracting the second equation from the first, we have ...
-221 -(-14) = (a1 +78d) -(a1 +9d)
-207 = 69d . . . . . simplify
-3 = d . . . . . . . . . . divide by the coefficient of d
Then the value of a1 can be found as ...
-14 = a1 +(-3)(9) . . . . substitute for d in the second equation
13 = a1 . . . . . . . . . . . add 27
__
Using our formula to find the 32nd term, we have ...
an = 13 -3(n -1)
a32 = 13 -3(32 -1)
a32 = -80
The 32nd term of the sequence is -80.
Related Questions
QUESTION 9 of 10: You enter a bid. Your cost on the product you make is $112 per unit. If you bid at $138 per unit, what percent is the price
you bid over your cost? (Round to the nearest percent)
a) 19%
b) 23%
C) 81%
Submit
Answers
From the information given, the percentage increase in the price bid over the cost will be 23%.
Cost on the product = $112.
Amount bid = $138
Therefore, the Percentage increase will be:
= (138 - 112) / 112 × 100
= 26/112 × 100
= 23%
Therefore, from the calculation above, it can be seen that the percentage increase in the price bid over the cost will be 23%.
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Decide if the following situation is a unit rate or not why or why not?
You score 12 points in one basketball game.
Answers
Answer:
Yes, because in 1 game you scored 12 points you didn't score multiple points in multiple games.
Javad had a mix of yellow and red jelly beans are shown on the graph if there are 42 jelly beans in his bag how many are red?
Answers
Answer:
there is no graph though
cuanto es "y=2x + 5" ??
Answers
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(2*x+5)=0
STEP1:
Equation of a Straight Line
1.1 Solve y-2x-5 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-2x-5 = 0 and calculate its properties
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000
y-intercept = 5/1 = 5.00000
Calculate the X-Intercept :
When y = 0 the value of x is 5/-2 Our line therefore "cuts" the x axis at x=-2.50000
x-intercept = 5/-2 = -2.50000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 5.000 and for x=2.000, the value of y is 9.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 9.000 - 5.000 = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 4.000/2.000 = 2.000
Geometric figure: Straight Line
Slope = 4.000/2.000 = 2.000 x-intercept = 5/-2 = -2.50000 y-intercept = 5/1 = 5.0000072% of 25 students are interested in mathematics how many are not interested in mathematics by moderators.
Answers
Answer:
7 students
Step-by-step explanation:
72/100 × 25 students = 18
18 students are interested in mathematics
therefore, 25 - 18 = 7 students are not interested
Amanda, Bryce, and Corey enter a race in which they have to run, swim, and cycle over a marked course. Their average speeds are given in the table. Corey finishes first with a total time of 1hr 50 min. Amanda comes in second with a time of 2hr 42 min. Bryce finishes last with a time of 3hr 16 min. Find the distance (in mi) for each part of the race.
Answers
The running distance is 4.23 miles, the swimming distance is 1.98 miles and the cycling distance is 35.64 miles.
Each racer travels the same distance and the sum of the distances travelled ([tex]x[/tex]), in miles. By definition of average speed ([tex]v[/tex]), in miles per hour, we get the following system of equations:
Amanda
[tex]t_{A} = \frac{x_{R}}{v_{A, R}}+\frac{x_{S}}{v_{A,S}}+\frac{x_{C}}{v_{A,C}}[/tex] (1)
Where:
[tex]x_{R}[/tex] - Running distance, in miles.[tex]x_{S}[/tex] - Swimming distance, in miles.[tex]x_{C}[/tex] - Cycling distance, in miles. [tex]v_{A,R}[/tex] - Speed of Amanda in the running distance, in miles per hour.[tex]v_{A,S}[/tex] - Speed of Amanda in the swimming distance, in miles per hour.[tex]v_{A,C}[/tex] - Speed of Amanda in the cycling distance, in miles per hour.[tex]t_{A}[/tex] - Total time of Amanda, in hours.Bryce
[tex]t_{B} = \frac{x_{R}}{v_{B, R}}+\frac{x_{S}}{v_{B,S}}+\frac{x_{C}}{v_{B,C}}[/tex] (2)
Where:
[tex]v_{B,R}[/tex] - Speed of Bryce in the running distance, in miles per hour.[tex]v_{B,S}[/tex] - Speed of Bryce in the swimming distance, in miles per hour.[tex]v_{B,C}[/tex] - Speed of Bryce in the cycling distance, in miles per hour.[tex]t_{B}[/tex] - Total time of Bryce, in hours.Corey
[tex]t_{C} = \frac{x_{R}}{v_{C, R}}+\frac{x_{S}}{v_{C,S}}+\frac{x_{C}}{v_{C,C}}[/tex] (3)
Where:
[tex]v_{B,R}[/tex] - Speed of Corey in the running distance, in miles per hour.[tex]v_{B,S}[/tex] - Speed of Corey in the swimming distance, in miles per hour.[tex]v_{B,C}[/tex] - Speed of Corey in the cycling distance, in miles per hour.[tex]t_{B}[/tex] - Total time of Corey, in hours.If we know that [tex]t_{A} = 2.7\,h[/tex], [tex]v_{A,R} = 10\,\frac{mi}{h}[/tex], [tex]v_{A,S} = 4\,\frac{mi}{h}[/tex], [tex]v_{A, C} = 20\,\frac{mi}{h}[/tex], [tex]t_{B} = 3.27\,h[/tex], [tex]v_{B,R} = 7.5\,\frac{mi}{h}[/tex], [tex]v_{B,S} = 6\,\frac{mi}{h}[/tex], [tex]v_{B,C} = 15\,\frac{mi}{h}[/tex], [tex]t_{C} = 1.833\,h[/tex], [tex]v_{C,R} = 15\,\frac{mi}{h}[/tex], [tex]v_{C,S} = 3\,\frac{mi}{h}[/tex] and [tex]v_{C,C} = 40\,\frac{mi}{h}[/tex], then the solution of the linear system of equations is:
[tex]\frac{x_{R}}{10} + \frac{x_{S}}{4} + \frac{x_{C}}{20} = 2.7[/tex] (4)
[tex]\frac{x_{B}}{7.5}+\frac{x_{S}}{6} +\frac{x_{C}}{15} = 3.27[/tex] (5)
[tex]\frac{x_{R}}{15}+\frac{x_{S}}{3} +\frac{x_{C}}{40} = 1.833[/tex] (6)
[tex]x_{R} = 4.23\,mi[/tex], [tex]x_{S} = 1.98\,mi[/tex], [tex]x_{C} = 35.64\,mi[/tex]
The running distance is 4.23 miles, the swimming distance is 1.98 miles and the cycling distance is 35.64 miles.
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solve the equation.
1/2x^2=32
Answers
Answer:
x = ± 8
Step-by-step explanation:
[tex]\dfrac{1}{2}x^{2}=32[/tex]
Multiply the equation by 2
x² = 32*2
x² = 64 = 8²
x = 8
What is an equation of the line that passes through the points (2, -7)(2,−7) and (2, -2)(2,−2)
Answers
Answer:
X = 2
Step-by-step explanation:
Slope: (- 7 - -2)/(2 - 2) = -5/0 = 0
The line is vertical (undefined
Just don’t understand the question to get the answer
Answers
Answer:
not sure if u saw the comment but
7 and 8 are congruent, and 8 is congruent to 10
that maybe the rest of the answer
Donna cut away 7.75 meters of rope. Before that, she had 12 meters of rope. How much rope does Donna have left?
Answers
Answer: 4.25 meters of rope
Step-by-step explanation:
Because Donna is losing 7.75 meters of rope from her original 12 meters, this problem can simply be represented as 12 - 7.75, which equals 4.25.
Hope it helps :) and let me know if you want me to elaborate.
HelloZZZZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
HI!!!
Step-by-step explanation:
Geometry- what is O? show work/explain please.
Answers
Answer:
Step-by-step explanation:
PLEEEAASSEEE HELP
Find the constant of proportionality and write an equation for the following proportional relationship.
You can buy 14 apples for $28.
Use a to represent number of apples and c to represent the cost
Answers
Answers:
constant of proportionality: 2equation is: c = 2a==================================================
Explanation:
a = number of apples purchased
c = cost in dollars
The equation is in the form c = ka, where k is the constant of proportionality. It tells us what to multiply 'a' by to get the cost c. In more realistic practical terms, the value of k is the cost per apple (aka unit cost).
To find this unit price, we divide the given price by the given number of apples: k = c/a = 28/14 = 2. Each apple is $2. The constant of proportionality is 2.
We'll update the equation from c = ka to c = 2a
Note that if we bought a = 14 apples, then it costs us c = 2a = 2*14 = 28 dollars as expected.
Answer:
c=2a
Step-by-step explanation:
c=2a
Bob bought 2Ibs of apples for $6. Explain how to find the unit rate and give the meaning of unit rate
Answers
Answer:
Unit rate is 3
Step-by-step explanation:
The unit rate means the value of ONE unit.
In this case, it would be the value of ONE pound of apples.
I divided 6 by 2, which gave me THREE.
Explain what the vertical line test is and how it is used.
Answers
Answer:
The vertical line test is a test to determine if a relation or its graph is a function or not. For a relation or graph to be a function, it can have at most a single y-value for each x-value. Thus, a vertical line drawn at any x-position on the graph of a function will intersect the graph at most once.
Step-by-step explanation:
(winks and runs off)
can you answer for angle T
Answers
Therefore
The adjacent of angle T is 24, Adjacent means the one next to
The hypotenuse in this problem is always 25, the long side
So it will be 24/25
Hope this helps!!
Find the sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20
Answers
Answer:
1/3 + 1/12 = 5/12
Step-by-step explanation:
Take a look on the picture
There are the solutions
to get the correct answer
Hope it helps
#LetsStudy
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20 is 5/12.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The product of 3/5 and 5/9 is,
Product = 3/5 × 5/9
= (3×5)/(5×9)
= 15 / 45
= 1/3
The product of 5/9 and 3/20 is,
Product = 5/9 × 3/20
= (5×3)/(9×20)
= 15 / 180
= 1/12
Now, the sum of the two products can be done as shown below,
Sum = 1/3 + 1/12
= 4/12 + 1/12
= (4+1)/12
= 5/12
Hence, the sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20 is 5/12.
Learn more about Multiplication here:
https://brainly.com/question/14059007
#SPJ5
12÷5/2=
Tell the answer quick!!
Answers
Answer:
4.8
Step-by-step explanation:
Answer:
4.8
Step-by-step explanation:
mark braineist pls
[tex] \: \: \: \: \: \: [/tex]
plss help me po!!
what is the measure of OS if MO = 6, OE =4 and OR=3?
a. 13
b. 8
c. 7.5
d. 7
explain your answer
see the attachment
need properly answer
nonsense answer will be reported
excellent answer will get brainlist and follow
#nospam
#nolinks
[tex] \: \: \: \: \: \: \: [/tex]
Answers
Answer:
B. 8Step-by-step explanation:
Intersecting chords theorem:
OS * OR = OM * OESubstitute values and solve for OS:
OS * 3 = 6 * 43OS = 24OS = 24/3OS = 8Correct choice is B
34.16 divided by 2 step by step ?
Answers
Answer:
17.08
Step-by-step explanation:
Basically, this is half of 34.16, which is 17.08.
Hoped this helped.
Answer:
427/25
Step-by-step explanation:
Change to percentage: 3416/100
Simplify: 854/25
854/25 dived by 2/1 (same thing as 2)
KEEP, CHANGE, FLIP
854/25 x 1/2= 427/25
Phil has a three-year contract for his cell phone service. He pays $572.60 each year to cover everyone and his family. How much will the cell phone service cost over the three-year period
Answers
Answer:
$1717.80
Step-by-step explanation:
We are given one clue: He pays $572.60 each year to cover everyone and his family.
We are asked to find how much does Phil have to pay after 3 years. So, we must multiply 572.60 by 3 to find the total cost Phil has to pay after 3 years.
572.60 x 3 = Total cost to pay after 3 years.
=> $1717.80 = Total cost to pay after 3 years.
We can conclude that Phil will have to pay $1717.80 after 3 years.
Can somebody help ????
Answers
Answer:
Answer is 4, explained answer in the comments because I didn't see the answer button, but now I do.
help me with this one guys......
Answers
Answer:
[tex]7^-^1[/tex]
Step-by-step explanation:
So, when multiplying numbers with exponents that have the same base, all you have to do is combine the exponents.
triangles one and two are both isosceles meaning they each have two equal sides they each have a 30-degree angle explain why these triangles do not have to be similar to each other
Answers
Answer:
See below for answers
Step-by-step explanation:
These triangle do not have to be similar to each other because the 30° angles may not be located in the same place.
For example, place one 30° at the vertex of the triangle which is located where the two equal legs of the isosceles triangle are joined. The triangle angles measure are 30°, 75°, and 75°.
But if the 30° angle is one angle at the base of the isosceles triangle, then the angles measure are 30°, 30°, 120°.
30°
Δ Δ
30°
Which number is both a factor AND a multiple of 4? 1,2,4,8
Answers
Answer:
1,2,4,
Step-by-step explanation:
[tex] \: \: \: [/tex]
help me po
1.) if mHO =150° and mPO =80° what is the m∠HEO?
2.) if mMT =140° and mMHT =220° find m∠ MAT
answer 3-4 only
need properly answer
right answer= brainlist follow and thanks
nonsense answer will be reported
Answers
Answer:
b. secantc. 45°d. 35°d. 40°Step-by-step explanation:
1. A chord is a line segment whose end points lie on a circle. The line containing that segment is called a "secant."
__
2. The angle where chords cross is the average of the intercepted arcs:
(50° +40°)/2 = 45° . . . . measure of angle CSA
__
3. The angle where secants or tangents meet is half the difference of the intercepted arcs.
(150° -80°)/2 = 35° . . . . measure of angle HEO
__
4. The angle where secants or tangents meet is half the difference of the intercepted arcs.
(220° -140°)/2 = 40° . . . . measure of angle MAT
Please note that this is the supplement of arc MT between the tangents.
Answer:
The DNA is a double-stranded molecule that has a long chain of nucleotides. The RNA is a single-stranded molecule which has a shorter chain of nucleotides. Propagation. DNA replicates on its own, it is self-replicating. RNA does not replicate on its own.
Neuron Function: Food Preservation
Fertilizer Meaning: Exocrine Glands
Food Chain Examples: Cell Biology
Step-by-step explanation:
yo kya haal hai
(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)
Answers
Answer:
9.09
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
When looking at the triangle we see that we have the hypotenuse and the opposite side.
a = opposite
b = adjacent
c = hypotenuse (always)
So if we plug those numbers into the equation we can get the missing side length
1) a² + b² = c²
2) 9.7² + b² = 13.3²
3) b² = 13.3² - 9.7²
4) b² = 176.89 - 94.09
5) b = [tex]\sqrt{176.89 - 94.09}[/tex]
6) b = 9.093954036
Now we round to nearest hundredth
To find the nearest hundredth we have to look at the thousandth place in the thousandth place we have 3 (9.093) that rounds down so,
b = 9.09
A jar contains 35 coins made up of 20c and 50c coins only. Then total value of the coins is
$13.90.
(I) If there were x 20c coins, write an equation in x for the number of 50c coins.
(ii) Using the given information, write an equation in terms of x for the total sum of money
the jar holds.
(iii) Solve the equation to find the number of each type of coin in the jar.
Answers
There are 12 coins which are 20 cent each and 23 coins which are 50 cent each.
Let x represent the number of 20 cent ($0.2) coins
i) Since there are 35 coins in total:
Number of 50 cent coins = 35 - x
ii) The total value of the coins is $13.90. Hence:
0.2x + 0.5(35 - x) = 13.90
iii) 0.2x + 17.5 - 0.5x = 13.90
0.3x = 3.6
x = 12
Number of 50 cent coin = 35 - x = 35 - 12 = 23
Therefore there are 12 coins which are 20 cent each and 23 coins which are 50 cent each.
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10.
Identify the vertex of the parabola.
A. (−1, 0)
B. (0, −1)
C. (1, 0)
D. (0, 1)
Answers
Answer:
C. (1, 0)
Step-by-step explanation:
1,0 should be the vertex for this parabola
1,0 should be the correct answer
I WILL GIVE BRAINLIEST TO WHOMEVER ANSWERS (TRUTHFULLY) !!NO LINKS!!
Answers
Step-by-step explanation:
SAS ================
What it says:
If two sides and the angle between them on one triangle are congruent to the corresponding two sides and the angle between them on the other, the triangles are congruent.
Required information:
Two sets of congruent sides with a congruent angle between them
ASA ================
What it says:
If one side and both connected angles on one triangle are congruent to one side and both connected angles on the other, the triangles are congruent.
Required information:
One set of congruent sides with two sets of congruent angles on the sides
AAS ==================
What it says:
If two angles and the non-included side on one triangle are congruent to two angles and the non-included side on the other, the triangles are congruent.
Required information:
Two sets of congruent angles and one set of congruent non-included sides
HL =================
What it says:
If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg on the other, the triangles are congruent.
Required information:
Congruent hypotenuse and congruent leg