the sum of the first ten terms of a linear sequence is -60 and the sum of the first fifteen terms is -165. Find the 18th term of the sequence
Answer:
a₁₈ = - 31Step-by-step explanation:
[tex]S_{10}=\dfrac{2a_1+d(10-1)}{2}\cdot 10\\\\\dfrac{2a_1+9d}{2}\cdot 10=-60\\\\\dfrac{2a_1+9d}{2}=-6\\\\2a_1+9d=-12\\\\2a_1=-12-9d\\\\\\S_{15}=\dfrac{2a_1+d(15-1)}{2}\cdot 15\\\\\dfrac{2a_1+14d}{2}\cdot 15=-165\\\\\dfrac{2a_1+14d}{2}=-11\\\\2a_1+14d=-22\\\\-12-9d+14d=-22\\\\ 5d=-10 \\\\ d=-2\\\\\\2a_1=-12-9(-2)=-12+18=6\\\\a_1=3\\\\\\ a_{18}=a_1+17d=3+17(-2)=3-34=-31[/tex]
What is constant polynomial -x^5+2x^3-17!!!!!!!!!!!!!
Quick plzzzzz
Answer:
− 1 ( 5 − 2 3 + 1 7)
Step-by-step explanation:
Olivia spent $20.00 on pencils and pens. Each pencil cost $2.00, and each pen cost $2.50. Which equation represents the number of pencils, x, and the number of pens, y, Olivia could have bought?
Answer: $2.00x + $2.50y = $20.00
Step-by-step explanation:
what is 10 rounded to the nerest 10
what is the value of x
Answer:
x<-19
Step-by-step explanation:
hope that helps
I have a 45, 45, 90 right triangle. The hypotenuse is 10 units long. How long are the legs?
a) 5 units
b) √10 units
c) 5 √2
d) one is 5 units s and the other is 5 √3
Answer:
C
Step-by-step explanation:
The triangle follows the pattern:
45 - 45 - 90
x - x - xsqrt(2)
Since you already have the hypotenuse (90), you need to divide by sqrt(2) to get the legs.
[tex]\frac{10}{\sqrt{2} } = \frac{10\sqrt{2} }{2} = 5\sqrt{2}[/tex]
Answer:
C
Step-by-step explanation:
hope this helps:))))))))))
Tami has a new pet crate for her dog. The length of the crate is four feet. The rectangular floor area of the crate is 1023 square feet. What is the width, in feet, of the pet crate?
Answer:
255.75 feet or 255[tex]\frac{3}{4}[/tex] feet
Step-by-step explanation:
area of a rectangle / length = breadth
1023 / 4 = 255.75 or 255[tex]\frac{3}{4}[/tex] feet
A rectangle has side lengths of 6 units and 3 units. Could you make a quadrilateral that is not identical using the same four side lengths?
Answer:
no u can not make another quadrilateral
need help pleaseee i have a test on friday
Answer:
x = 8
Step-by-step explanation:
Using the sine or cosine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{x}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
x = 8
PLEASE HELP! - MULTIPLE CHOICE - YOU WILL GET 10 POINTS - MATH
Answer:
56°
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
36 + x = 90
x = 90 - 34
x = 56
Point A is located at -7 on a number line, and point B is located at 3 on the number line. Point C is the same distance away from point A as point B is from point A, but in the opposite direction. Which is the location of point C on the number line?
Answer:
C is at -17 on the number line
Step-by-step explanation:
point A is at -7, point B is at 3, that makes them 10 units away from each other, Point C is the same distance away from A just like B is but in the opposite direction. -7 -10=-17, therefor C is at -17
Find the missing terms in the arithmetic sequence 1, __, __, __, 29,...
9514 1404 393
Answer:
8, 15, 22
Step-by-step explanation:
The sequence has ...
a1 = 1
a5 = 29
__
The generic formula for an arithmetic sequence is ...
an = a1 +d(n -1)
Filling in the known information, we can find d:
29 = 1 + d(5 -1)
28/4 = d = 7
The terms of the sequence have a common difference of 7, so each is 7 more than the one before. The first five terms are ...
1, 8, 15, 22, 29
The missing terms are 8, 15, 22.
2/x+3/y=9
4/x+9/y=21
Answer:
ok
Step-by-step explanation:
ok
plz halp wil giv brainlyes
Answer:
∠F = 36.1°
Step-by-step explanation:
tan(x) = [tex]\frac{O}{A} = \frac{3.5}{4.8}[/tex]
x = [tex]tan^{-1} (\frac{3.5}{4.8})[/tex] = 36.1°
Answer:
WOW
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST!!!!!
Answer is option B.
[tex] \frac{ - 1}{ 25 } [/tex]
Explanation:
5 to the power -2 can be written as
[tex] {( {5}^{2})}^{ - 1} [/tex]
which will be
[tex] {25}^{ - 1} [/tex]
which will be
[tex] \frac{ - 1}{ 25 } [/tex]
their circumference of a circle is 44 ft what is the diameter of the circle
Answer: Nothing further can be done with this topic. Please check the expression entered or try another topic.
44
feet
Step-by-step explanation: you have to multiplying
Name: ___________________________________________ Class: ___________
Real World Situation
Bryce spent $5.26 on some apples priced at $0.64 each and some pears priced at
$0.45 each. At another store he could have bought the same number of apples at
$0.32 each and the same number of pears at $0.39 each, for a total cost of $3.62. How
many apples and how many pears did Bryce buy?
Write equations in Standard Form.
Equation 1 (Store 1) Equation 2 (Store 2)
___________________________________ ____________________________________
Solve both equations in Standard Form. Show all work.
HINT: Replace the given values for x in the equation and solve for y
Equation 1
x (x,y)
0
1
2
3
4
5
6
Equation 2
x (x,y)
0
1
2
3
4
5
6
Solution:- ( , )
Identify the solution and state what it means in context of the problem.
_______________________________________________________________________________________________
_______________________________________________________________________________________________
________________________________________________________________________________
Use Substitution Method to solve the system of Equations. Show all work and state
the solution.
Solution: ( , )
Explain in your own words your process of solving the System of Equations using
Substitution Method.
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_________________________________________________________________
Use Elimination Method to solve the system of Equations. Show all work and state the
solution.
Solution: ( , )
Explain in your own words your process of solving the System of Equations using
Elimination Method.
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_________________________________________________________________
Use Graphing Method to solve the system of Equations. Show all work and state the
solution.
Solution: ( , )
Explain in your own words your process of solving the System of Equations using
Graphing Method.
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
Reflection:
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_________________________________________________________________
Name_____________________________________ Class:______________ 2020-2021 Score:
Circumstances of Performance Students comments: I have learned that
___independent work __________________________________________________________________
___in class __________________________________________________________________
___as Homework __________________________________________________________________
___with a partner __________________________________________________________________
___with teacher feedback
___with an opportunity for revision Teacher comments/Next Steps:
__________________________________________________________________
Peer Reflection:
___________________________________________________________________
___________________________________________________ ___________________________________________________________________
___________________________________________________ ___________________________________________________________________
___________________________________________________ ___________________________________________________________________
Let the number of apples be x and that of pears be y, then:
0.64x + 0.45y = 5.26 . . . (1)
0.32x + 0.39y = 3.62 . . . (2)
(2) x 2 => 0.64x + 0.78y = 7.24 . . . (3)
(1) - (3) => -0.33y = -1.98
y = -1.98 / -0.33 = 6
From (2), 0.32x + 0.39(6) = 3.62
0.32x = 3.62 - 2.34 = 1.28
x = 1.28 / 0.32 = 4
Find tan A and tan B.
Step-by-step explanation:
[tex] \tan(a) = \frac{26}{10} = 2.6 \\ \tan(b) = \frac{10}{26} [/tex]
Simplify each expression
Answer:
Simpify each expression :
1) B
2)B
3)C
4)A
5)A
6)C
Find each product, and simplify the expression :
7)B
8)A
9)A
Step-by-step explanation:
I will send the explanation in a little time.
The model y=1.8x−76.9 y=1.8x−76.9 represents the relationship between the temperature (°F) and the number of ice cream cones sold. Using the model, approximate the number of ice cream cones sold when it is 85°F. Round your answer to the nearest whole number.
Answer:
76 ice cream cones
Step-by-step explanation:
Given the model : y=1.8x−76.9 ;
Which shows the relationship between temperature and number of ice cream cones sold ;
Using the model, the predicted number of ice cream cones sold when temperature is 85°F
Hence, x = 85
Putting x = 85 in the model and solve for y
y = 1.8(85) −76.9
y = 153 - 76.9
y = 76.1
Hence, the number of ice cream cones sold is 76
Nick was thinking of a number. Nick adds 11, then divides by 6 to get an answer of -7. What was the original number?
Answer:
-53/6
Step-by-step explanation:
x + 11 / 6 = -7
Subtract 11/6 from both sides to isolate x.
x = -53/6
ANSWER NOW PLEASE: Tom is having his car repaired. The cost of the parts is $260
and 4 hours of work are required. Tom needs to keep the
entire cost of the repair under $400. Which inequality
expresses the relationship between hourly cost (x), parts,
and the $400 limit?
Answer:
260 + 4x < 400
Step-by-step explanation:
To make our inequality, let's list out the separate costs we have, all of which combined should be less than 400.
First, we have the cost for the parts, which is $260. The other cost we have is the hourly rate for the work. The repair will take a certain amount of money for every hour worked. The rate must be low enough that it doesn't exceed $400 when combined with the $260 from the parts.
To construct our inequality, we can begin with the estalished $260.
Then, add to this the hourly rate, (x) times the number of hours worked, 4.
So we have-
260 + 4x
The total of this cost must be less than $400 dollars, so we will use the less than ( < ) sign in front of the 400.
260 + 4x < 400
The answer is 260 + 4x < 400. I hope this was helpful :] Good luck ^^
What is the slope-intercept equation for the following line?
Answer:
y = 2x + 7
Step-by-step explanation:
ALgebra is my best subject! Have a good day!
I thought I lost my account
Anyways, who made pythagorean theorem
Answer: Nevertheless, the theorem came to be credited to Pythagoras. It is also proposition number 47 from Book I of Euclid's Elements. According to the Syrian historian Iamblichus (c. 250–330 ce), Pythagoras was introduced to mathematics by Thales of Miletus and his pupil Anaximander.
Step-by-step explanation:
Ms Hogan has more than 20 students in her class.
when she divides the class into groups of 5, there are 4 students left over.
when she divides the class into groups of 4, there is 1 student left over.
what is the least number of students that could be in ms Hogan's class?
i need that asap pleasee
Answer:
The answer is most likely 29
Step-by-step explanation:
you can have 5 groups of 5 with 4 left over, and 7 groups of 4 with one left over.
40 POINTS!!!!!! Find the area of the complex figure.
Answer:
2361456
Step-by-step explanation:
if this is not the answer im not smart please
im only doing answer for good intentions no bad intentions.
Please help me. 20 points.
Answer:33%
Step-by-step explanation:
Answer:
33%
Step-by-step explanation:
I hope it helps!!:)
Drag each label to the correct location on the image.
Identify the information sources for consumers as either company sources or external sources.
1) customers rating a new
car model on a social
media site
grande03 avatar
2) a billboard sign for a
new car model
grande03 avatar
3) a blog comparing a
new car model to
its competitors
grande03 avatar
4) a television ad for a
new car model
Answer:
It’s company- 2 and 4
External- 1 and 3
Step-by-step explanation:
its right
the area of a square is 625cm squared. What is the measurement of the diagonal to the nearest tenth.
Answer:
diagonal = 35.4
area = s²
√625 = 25
side = 25
diagonal² = 25² + 25² = 625 + 625 = 1250
diagonal = √1250 = 35.4
What is the length of the triangle of “b” and the answers helppp plz? ??