Find the 98th term of the arithmetic sequence -10, -8, -6, ...
First term = a= -10
common difference=d= -8+10 = 2
n= 98
the 98th term = a+(n-1)d = -10+ (98-1)2
= -10+(97)2 = -10 +194
=184
98th term of the given arithmetic sequence is 184.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.
The given arithmetic sequence is -10, -8, -6,......
Here, a=-10, d=-8-(-10) = 2
So, aₙ=-10+(n-1)×2
aₙ=-10+2n-2
aₙ=2n-12
a₉₈=2×98-12
a₉₈=184
Therefore, 98th term of the given arithmetic sequence is 184.
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are the triangle similar
1-yes
2-no
Answer:
yes the triangle are similar
The distance from the moon to the earth is about 239,000 miles. How many pennies would
need to be in a stack in order to reach the moon?
Answer: 5 billion pennies
Step-by-step explanation:
(2x - 3)(4 - 3x) find the product of binomials
Answer:
6x²+17x-12
Step-by-step explanation:
(2x-3)(4-3x)
8x-6x²-12+9x
Reorder.
6x²+9x+8x-12
Combine like terms.
6x²+17x-12
---
hope it helps
Solve this system of equations using the ELIMINATION method.
3x - 2y = 1
2x + 2y = 4
hope this helps please like and mark as brainliest
Answer:
x = 1
y = 1
Step-by-step explanation:
3x - 2y = 1
2x + 2y = 4
3x - 2y + 2x + 2y = 1 + 4
3x + 2x = 5
5x = 5
5x ÷ 5 = 5 ÷ 5
x = 1
2x + 2y = 4
2(1) + 2y = 4
2 + 2y = 4
2 - 2 + 2y = 4 - 2
2y = 2
2y ÷ 2 = 2 ÷ 2
y = 1
Check:
3x - 2y = 1
3(1) - 2(1) = 1
3 - 2 = 1
x and y being 1 works for the first equation.
2x + 2y = 4
2(1) + 2(1) = 4
2 + 2 = 4
x and y being one works for both equations.
The question is in the pic.
Answer:
$100
$120 in and $20 out
Step-by-step explanation:
Answer:
the answer is $100
because if the bank is loosing 2% they are having to pay $20 bc 0.02 x 1,000= 20, and they are earning 12% they getting 120 bc 0.12 x 1,000 = 120, and 120-20= $100. you have to subtract the $20 because that is what the bank is paying, so it's losing money
1. If two lines are parallel, then the slopes of the lines would be...
A. opposite
B. Reciprocals
C. Equal
D. Opposite Reciprocals
E. Binomials
F. Quadratic
2. If two lines are perpendicular, then the slopes of the lines would be...
A. Opposite
B. Reciprocals
C. Equal
D. Opposite Reciprocals
E. Binomials
F. Quadratic
find the value of x in the equation 4x-2=2x+10
Answer:
x = 6
Step-by-step explanation:
Given
4x - 2 = 2x + 10 ( subtract 2x from both sides )
2x - 2 = 10 ( add 2 to both sides )
2x = 12 ( divide both sides by 2 )
x = 6
marcus purchased a sail boat for $56,900. he anticipates each year the boat will decrease in value by 8.1% from the previous year.
enter numbers in the boxes to write an exponential function that models the value in dollars of the boat x years after Marcus's purchase.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Purchase price= $56,900
Decrease in value= 8.1% per year from the previous year
To calculate the value of the sailboat after x number of years, we need to use the following formula:
Future value= purchase price / (1 + decrease in value)^x
For 10 years:
FV= 56,900 / (1.081^10)
FV= $26,112.91
Translate this sentence into an equation. 46 is the sum of 21 and Mabel's savings.
You are riding in a hot air balloon on Valentine’s Day withyour sweetheart. As you get ready to set your balloon downyou notice that while your balloon is 500 ft above ground, your friends balloon is 800 ft above ground. The plan is for both balloons to descend straight down. Your balloon willland right at the edge of the lake below, but it appears thatyour friends will be pretty far away. You can see a reflectionof their balloon right in the middle (direct center) of the 1200 ft wide lake below.How far away from the lake will your friends touch down?
(Don't mind my scribbles maybe they will help, maybe not)
Answer:
Try 750 ft?
Step-by-step explanation:
Proportion:
800/500 = 1,200/x
Solve:
1,200 / 800 = 1.5
1.5 * 500 = 750
Hope this helped!
Please mark as brainliest!
What is the range for this set of data? 7, 15, 12Mrs. Juarez graded ten English papers and recorded the scores. 92, 95, 100, 62, 88, 90, 100, 96, 89, 98 Which statements are true? Check all that apply.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
Arrange the value into the ascending order:
[tex]62, 88, 89, 90, 92, 95, 96, 98, 100, 100[/tex]
Calculating the Range:
[tex]= Greatest - Lowest\\\\= 100 - 62\\\\ = 38[/tex]
Outlier = This might be the value "far" from other data values= 62
The range of scores would be, sans outlier,
[tex]88, 89, 90, 92, 95, 96, 98, 100, 100[/tex]
Calculating the range without outlier [tex]= 100 - 88 = 12[/tex]
Inter Quartile Range [tex]= Q_3 - Q_1[/tex]
[tex]IQR = 98 - 89 = 11[/tex]
Calculating the IQR without outlier [tex]= 99 - 89.5 = 9.5[/tex]
Therefore,
Option a is "True".
Option b is "True".
Option c is "True".
Option d is "False".
Option e is "False".
Option f is "True".
PLS HELP ME SOLVE THIS
2a × 3
Answer:
The answer will be 2a×3=6a
Need help with some math
Answer:
A
Step-by-step explanation:
Desnity: mass/volume
3/20= .15
In total, 28 chickens and pigs were on a farm. In total, there are 90 feet. How many chickens? How many pigs?
Answer:
17pigs and 11 chicken
Step-by-step explanation:
Can you help me solve in any algebraic method ?
Answer:
Step-by-step explanation:
x²+(8+3)x +24=0x²+8x+3x+24=0x(x+8)+3(x+8)=0(x+8)(x+3)=0if,(x+8)=0 then,x+8=0x=-8,,if x+3=0 then,x=0-3x= -3,,PLZ HELP LIMITED TIME
Answer:
32
Step-by-step explanation:
Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
Answer:
Step-by-step explanation:
The two triangle are congruent for the rule SAS
QP congruent to TU
angle P and angle T are both right
side PR is in common
Durante 8 días el precio de una acción de una compañía X cae 720 pesos, en el noveno día sube 45 pesos y el decimo día cae 120 pesos, ¿Escriba y calcule el valor de las acciones al terminar el decimo día?
Answer:
Tras 10 días la acción habrá caído $795.
Step-by-step explanation:
Dado que durante 8 días el precio de una acción de una compañía X cae 720 pesos, en el noveno día sube 45 pesos y el decimo día cae 120 pesos, `para determinar el valor de las acciones al terminar el decimo día se debe realizar el siguiente cálculo:
X - 720 + 45 - 120 = Valor
X - 840 + 45 = Valor
X - 795 = Valor
Por lo tanto, tras 10 días la acción habrá caído $795.
Question and choices are in the photo please explain the answer
Answer:
[tex]\text{A) }68\:\mathrm{cm}[/tex]
Step-by-step explanation:
The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.
Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.
To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a [tex]90^{\circ}[/tex], creating right triangles [tex]\triangle TOP[/tex] and [tex]\triangle SOP[/tex].
The Pythagorean Theorem states that the following is true for any right triangle:
[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or the longest side, of the triangle
Thus, we have:
[tex]10^2+TP^2=26^2,\\TP^2=26^2-10^2,\\TP^2=\sqrt{576},\\TP=24[/tex]
Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.
What we know:
[tex]TP=SP=24[/tex][tex]TO=SO=10[/tex]Thus, the perimeter of the quadrilateral PTOS is equal to [tex]24+24+10+10=\boxed{\text{A) }68\:\mathrm{cm}}[/tex]
Answer:
the other one should get a brainliest.
I'm just answering to make it technically possible.
Find the measure of CD⎯⎯⎯⎯⎯⎯⎯⎯.
A. 8
B. 6
C. 5
D. 7
Answer:
Using the property of intersecting secant:-
[tex](DE)(CE)=(FE)(LE)[/tex]
[tex](4)(x-1+14)=(5)(x-4+5)[/tex]
[tex]4(x+3)=(5x+1)[/tex]
[tex]4x+12=5x+5[/tex]
[tex]4x+-5x=5-12[/tex]
[tex]-x=-7[/tex]
[tex]x=7[/tex]
[tex]So, CD=x-1=7-1=6[/tex]
[tex]so,~your ~answer ~is ~B) ~6[/tex]
----------------------------hope it helps...have a great day!!By intersecting secants theorem, the measure of CD is 6 units.
What is intersecting secants theorem?
The theorem states that when two secants intersect at an exterior point, the product of the one whole secant segment and its external segment is equal to the product of the other whole secant segment and its external segment.
For the given situation,
The diagram shows the circle with the two secants intersecting at the exterior point.
By intersecting secants theorem,
[tex](CE)(DE)=(LE)(FE)[/tex] -------- (1)
Here, CE = CD + DE
⇒ [tex]CE = (x-1)+4[/tex]
DE = 4
LE = LF + FE
⇒ [tex]LE = (x-4)+5[/tex]
FE = 5
On substituting the above values in 1,
⇒ [tex](x-1+4)(4)=(x-4+5)(5)[/tex]
⇒ [tex](x+3)(4)=(x+1)(5)[/tex]
⇒ [tex]4x+12=5x+5[/tex]
⇒ [tex]5x-4x=12-5[/tex]
⇒ [tex]x=7[/tex]
Thus CD = [tex]x-1[/tex]
⇒ [tex]7-1=6[/tex]
Hence we can conclude that by intersecting secants theorem, the measure of CD is 6 units.
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What are the measures of Angles a, b, and c? Show your work and explain your answers.
400
a
650
Answer:
Step-by-step explanation:
angle a=40 degree (being vertically angles)
angle a + 90 +angle b=180 degree (being sum of interior angles of a triangle)
40 +90 +angle b=180
130 + angle b=180
angle b=180-130
angle b =50 degree
vrtically opposite of angle b
vertically opposite of angle b + missing angle=65 degree (sum of two intrior opposite angle is equal to the exterion anle formed)
40 degree + missing angle=65
missing angle=65-40
missing angle=25 degree
angle c+ vertically opposite of angle b + missing angle=180 degree (being sum of interior angles of a triangle)
angle c +50 +25 =180
angle c+75=180
angle c=180-75
angle c=105 degree
Can someone please help me ASAP!!
I DONT SPEAK ENGLISH, I'M BRAZILLIAN
Answer:
brainllest if right
b
Step-by-step explanation:
Ranking brainliest if correct :)))
Answer:
Hello! answer: always
Step-by-step explanation:
And Isosceles triangle is a triangle with two sides that have the same length therefore the answer is always because as shown there are two sides with the same length hope that helps!
Answer is: always
since a isosceles is a triangle with two equal sides and since two of the number is same(you know what i mean)
The question is in the picture :)
The correct name for a side of the angle is C!
Answer:
C. ED
Step-by-step explanation:
Sue travels 876 miles roundtrip to visit her parents. What is the total distance in miles she would fly for 12 visits to her parents? All I need is the total distance in MILES, Please help! First answer that helps me alot will get a brainliest!
Answer:
2 miles
Step-by-step explanation:
Answer:
10,512 miles
Step-by-step explanation:
876 x 12 = d (d is distance)
Solving the multiplication above, 876 x 12 would equal 10,512 miles
The groundskeeper filled the first sandbox with sand to a height of 6 inches. What is the volume,
in cubic feet, of the sand that was used to fill the first sandbox to a height of 6 inches? Show or explain
how you got your answer
Enter your answer and your work or explanation in the space provided
Answer:
you didnt provide the other 2 measurements, its length x width x height for volume
PLEASE ASAP PLEASE I need this plewse
Answer:
182.353745
Step-by-step explanation:
[tex]\frac{0.482 x61.2^2}{\sqrt{98.01} }[/tex]
Exponent First!
61.2^2 = 61.2 × 61.2 = 3745.44
Next, start multiplying it by 0.482
3745.44 × 0.482 = 1,805.30208
Then Solve for the Square root of 98.01
[tex]\sqrt{98.01}=9.9[/tex]
Finally, divide 1,805.30208 by 9.9
1,805.30208 ÷ 9.9 = 182.353745
7.) Evaluate the expression.
12 - 3V 25
Answer:
-3
Step-by-step explanation:
[tex]\sqrt{25}[/tex] is equal to 5, so we can sub it in the equation.
This gives 12-3×5 or 12-15.
This solves to -3.
**This content involves simplifying surds, which you may wish to revise. I'm always happy to help!
help me please ASAP
Answer:
A.
Step-by-step explanation:
Vertical shifts are represented by - or +, and they are not within the parenthesis. Since the function is being shifted down by 2 units, the correct answer is A.