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.
To learn more about an arithmetic sequence visit:
https://brainly.com/question/10396151.
#SPJ2
The area of a trapezoid is represented by the expression 12x2 + 7x – 10. The other dimensions are shown in the diagram below. Determine an expression for the height of the trapezoid.
Answer:
(24x^2 + 14x – 20) /(3x+5) = h
Step-by-step explanation:
The area of a trapezoid is given by
A =1/2 (b1+b2) h
12x^2 + 7x – 10 = 1/2 ( x+3+ 3x+2)h
Multiply each side by 2
24x^2 + 14x – 20 = ( x+3+ 3x+2)h
Combine like terms
24x^2 + 14x – 20 = ( 4x+5)h
Divide each side by (4x+5)
(24x^2 + 14x – 20) /(4x+5) = ( 4x+5)h/(4x+5)
(24x^2 + 14x – 20) /(4x+5) = h
Sally is 54 years old and her mother is 80, how many years ago was Sally's mother three times her age?
Answer:
So , 41 years ago, Mothers age is 3 times of Sally's age. When Sally's age was 13 , and her mom age was 39 (
Which data set could be represented by the box plot shown below?
Answer:
The answer is C
Step-by-step explanation:
the lowest point of the box plot is at 1 and the highest is at 19, so by that it can't be A.
The box plot shows 12 being the median so that automatically leaves C but just to make sure the first half would be 6 and half of the last part would be 16 if that makes sense.
3100 times 43 how much is this
Answer:
133,300
Step-by-step explanation:
3100 x 43 = 133,300
Answer: 133,300
Step-by-step explanation: 3100 x 43= 133300
Find the value of x in the isosceles triangle shown below
Answer:
2²+3² =x²
4+9. =x²
x² =13
x. =√13
answer is option c
Answer:
C
Step-by-step explanation:
You divided 4/2 you get 2
2^2+3^2=x^2
x^2=4+9
x^2=13
x= square root 13

PLS help me with this. And I am so sorry if im troubling you
Answer:
a=70 vertically opp angles
b=80 linear pair
c=100 corresponding angles
d= 80 linear pair with c
e= 180 -a-d
=180-70-80
=30
How do I solve 3x+7+x?
Answer:
The answer is 4x+7
Step-by-step explanation:
3x+7+x
= 3x+x+7
= 4x+7
(I used symbolab)
Please answer properly.
Answer:
[tex]1) y=-6[/tex]
[tex]2)x=3[/tex]
[tex]3) y=8[/tex]
[tex]4)a=8[/tex]
Step-by-step explanation:
[tex]4y+24=0[/tex]
subtract 24 from both sides
[tex]4y=-24[/tex]
divide both sides by 4
[tex]y=-6[/tex]
---------->>>>
[tex]15+3=6x[/tex]
combine like terms
[tex]18=6x[/tex]
divide both sides by 6
[tex]3=x[/tex]
---------->>>>
[tex]9y-72=0[/tex]
add 72 to both sides
[tex]9y+72[/tex]
divide both sides by 9
[tex]y=8[/tex]
---------->>>>
[tex]8a=75-11[/tex]
combine like terms
[tex]8a=64[/tex]
divide both sides by 8
[tex]a=8[/tex]
--------------------------------------------
Hope this is helpful.
The area of a trapezium is 147cm of the parallel sides and 5.3cm and 3.1cm long. Find the perpendicular distance between them.
Answer:
35 cm
Step-by-step explanation:
A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs
Characteristics of a trapezoid
It has 4 vertices and edges
If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram
Area of a trapezoid = x (sum of the lengths of the parallel sides) x height
h = 147x2 / (5.3 + 3.1) = 35cm
The length of a field in feet is a function f(n) of the length nin yards. Write a function rule for this situation.
Given:
The length of field is n yards.
The length of a field in feet is a function f(n).
To find:
The function rule for this situation.
Solution:
We know that,
1 yard = 3 feet
Using this conversion, we get
n yard = 3n feet
The length of field is n yards. So, the length of the field is 3n feets.
The length of a field in feet is a function f(n). So,
[tex]f(n)=3n[/tex]
Therefore, the required function rule for this situation is [tex]f(n)=3n[/tex].
Now Kathy is 3 times as old as Kaity. In 6 years Cathy will be twice as old as Kaity. How old is each girl right now
Kathy is 18 and Kaity is 6. In six years, Kathy will be 24 and Kaity will be 12.
Good luck :)
Answer:
Katie is 6; Cathy is 18!
Happy learning!
--Applepi101
help with the questions below!
Answer:
b
Step-by-step explanation:
What is the overlap of Data Set 1 and Data Set 2?
A: high
B: moderate
C: low
D: none
Explanation:
Each set spans from 3 to 7 as the min and max. Since we're dealing with the same endpoints, we have perfect overlap.
HELP QUICKLY PLS WILL MARK BRAINLIEST
Brayden says that the probability of catching a cold is 1/2 because there are two possible outcomes, catching a cold and not catching a cold. Is he correct? Explain.
(-9x + 32) - (15x + 41)
Answer:
Step-by-step explanation:
Distribute the Negative Sign:
=−9x+32+−1(15x+41)
=−9x+32+−1(15x)+(−1)(41)
=−9x+32+−15x+−41
Combine Like Terms:
=−9x+32+−15x+−41
=(−9x+−15x)+(32+−41)
=−24x+−9
Answer:
-24x - 9
Step-by-step explanation:
Combine like terms.
A rental car company charges $80 per day to rent a car and $0.10 for every mile driven. Alyssa wants to rent a car, knowing that: She plans to drive 150 miles. She has at most $300 to spend. Which inequality can be used to determine xx, the maximum number of days Alyssa can afford to rent for while staying within her budget?Geq30080x+15≥300 15x+80\leq30015x+80≤300 80x+15\leq30080x+15≤300 15x+80\geq30015x+80≥300
Multiply the number of days (x) by the amount per day (80) to get 80x.
She is driving 150 miles at 0.10 per mile so multiply to get the mileage cost: 150 x 0.10 = 15
Add this to the daily amount:
80x+15
She can spend up to 300, so less than or equal to 300:
80x +15 <=300
I really need this help
Answer:
area: 454.2 sq.cm
perimeter: 77.7 cm
Step-by-step explanation:
to find area, find the area of all the separate shapes and add them together:
semi-circle:
radius is 12 cm
area = [tex]\frac{\pi (12)^2\\}{2}[/tex] = 226.2 sq.cm
separate the trapezoid into two right triangles and a rectangle.
area for triangles:
[tex]\frac{1}{2}[/tex](5)(12) = 30
30 x 2 = 60 sq.cm (since there are two triangles)
area for rectangle:
12 x 14 = 168 sq.cm
area of whole shape: 226.2 + 60 + 168 = 454.2 sq.cm
for perimeter, just add the length of the exterior sides together.
we have some unknown sides, such as the semicircle and the sides of the trapezoid
we can find the hypotenuse of the triangles we used earlier to find the sides of the trapezoid with pythagorean theorem
[tex]5^2 + 12^2 = c^2[/tex]
[tex]25 + 144 = c^2[/tex]
[tex]169 = c^2[/tex]
[tex]\sqrt{169} =\sqrt{c^2}[/tex]
c = 13 cm
to find the outside perimeter of the semi-circle, solve as if you were finding the circumference of a normal circle and divide it in half
[tex]\frac{2\pi12}{2}[/tex] = 37.7 cm
now add it all up:
14 + 13 + 13 +37.7 = 77.7
which of the following is a root of the polynomial function below
Answer: "C"
roots would make the function "0"
so just plug in the numbers...
with a + 12 you need minuses to cancel out...
B & C can not be the answer...
A is -i -3 + 4i - 12 which also is not 0
C is : 8i -12 -8i +12 WHICH DOES = 0
Step-by-step explanation:
I really need help with this problem
Answer:
Measure of angle K is 52.5 degrees
Step-by-step explanation:
Here, we have a case of two sides being congruent
mathematically when two sides are congruent, then we have an isosceles triangle
For an isosceles triangle, the base angles are equal
LM faces K , while M faces KL
What this mean is that L faces KM
From above, we can see that K = M = ?
Let us call this x
Mathematically, the sum of angles in a triangle is 180 degrees
75 + x + x = 180
2x = 180-75
2x = 105
x = 105/2
x = 52.5
A candy bar sells for 4 for $5. How many can be bought for 20 dollars?
100 bars
80 bars
16 bars
4 bars
Answer:
The number of candy which can be bought for 20 dollars is 16 candies. Hence, the required answer is 16. The number of candy bars that can be bought for $20 are 16.
16 candy bars can be bought for 20 dollars. Hence, the correct answer is C.
An expression is a mathematical representation or statement that combines variables, constants, and mathematical operations. It does not contain an equals sign (=) and does not make a statement of equality or inequality. Instead, an expression represents a value or a computation.
To determine how many candy bars can be bought for 20 dollars, we need to use the given information that 4 candy bars can be purchased for $5.
To find the cost of one candy bar, we divide $5 by 4:
Cost of one candy bar = $5 / 4 = $1.25
Now, we can calculate how many candy bars can be bought for $20 by dividing 20 by the cost of one candy bar:
Number of candy bars = $20 / $1.25 = 16
Therefore, 16 candy bars can be bought for 20 dollars. Hence, the correct answer is 16 bars.
To know more about an expression follow
https://brainly.com/question/13879146
#SPJ2
What is the value of x, given that AE || BD?
Answer:
options number 1 is the answer
Which graph represents the function p(x) = |x - 1|?
Step-by-step explanation:
Fourth graph represent the function p(x) = |x – 1|
Answer:
B
Step-by-step explanation:
Just did the unit test
mr.harrington drive 164 miles. his car used 8 gallons of gas. how many miles per gallon of gas does the car average
Answer:
20.5 mpg
Step-by-step explanation:
Here we're looking to calculate the car's fuel economy, expressed in miles per gallon, or mpg:
164 miles
------------------ = 20.5 mpg
8 gallons
simple interest 34,100 at 4% for 3 years
Answer:
Step-by-step explanation:
.....
1] Angelo used 425 centimeters of ribbon to trim banners he made. How many meters of ribbon did he use? ***HINT: 1 meter = 100 centimeters*** *
Answer:
4.25 meters
Step-by-step explanation:
425/100 = 4.25
or move the decimal to the left 2 places. One place for each zero in 100.
Multiply (x-3)(4x+2) using the distributive property.select the answer choice showing the correct distribution.
Answer:
4x² - 10x - 6
Step-by-step explanation:
(x-3)(4x+2)
4x² + 2x - 12x - 6
4x² - 10x - 6
A bat costs $11,856 and decreases in
value by 10% per year what is the range for
this situation and how much will to bout me
worth after 8 years?
Work out the area of the garden. HELP ASAP i’ll make u brainliest ♡︎
Answer: 120m2
Step-by-step explanation:8x11=88
19-11=8- length of triangle base. 1/2 base x height= 4x8=32
32+88=120m2
Solve the system.
x + y - z = 17
y +z = 1
z = -3
Answer:
(10, 4, -3)
Step-by-step explanation:
z = -3
y + z = 1
y - 3 = 1
y = 4
x + y - z = 17
x + 4 - -3 = 17
x + 4 + 3 = 17
x + 7 = 17
x = 10
(10, 4, -3)
Answer:
(10,4,-3)
Step-by-step explanation:
(x,y,z)
z= -3 given
y+z = 1 (equation 2)
y-3 =1
y=4 (solve 2 after substation)
eq #1 : x + 4 - (-3) = 17
x+4+ 3 = 17
x+ 7 = 17
x=10
(10,4,-3)