If the information given below represents an arithmetic sequence
a1= 49 and a8= 14 find:
d =
a27=
WILL AWARD BRAINLIEST
Answer:
a₂₇ = -81
Step-by-step explanation:
Given that,
The first term of an AP is, a₁ = 49
8th term of the AP, a₈ = 14
nth term of an AP is given by :
[tex]a_n=a_1+(n-1)d\\\\a_8=49+7d\\\\14=49+7d\\\\7d=-35\\\\d=-5[/tex]
27th term of the AP is given by :
[tex]a_{27}=a_1+26d\\\\=49+26(-5)\\\\=-81[/tex]
So, 27th term of the AP is -81.
True or False
3 is a factor of n(n + 2)(n − 1) by mathematical induction.
Explain why.
Answer:
false
Step-by-step explanation:
this beacuse when is times with the base that shows the product thats the factor
A race horse runs one lap around a lake in 10 minutes.
How long will it take for the horse to run 6 laps around the lake at the same pace?
Answer:
1 hour or 60 minutes.
Write 0.00005974 in scientific notation.
Answer:
Step-by-step explanation:
For correct scientific notation, we need to have 1 number to the left of the decimal, and everything else to the right. Since our number is already less than 1, the exponent representing the number of places we move the decimal will be negative. We have to move the decimal 5 places to the right to get the 5 to the left of the decimal and everything else to the right, making this:
[tex]5.974*10^{-5[/tex]
Using Properties of Right Triangles
Answer these questions about the right triangle.
What is the area of the square of the leg 6?
What is the area of the square of the leg 8?
What is the area of the hypotenuse square?
6 units
What is the length of the hypotenuse?
8 units
) Intro
✓ Done
Tutoring Help
Frame Chain/Activity
Answer:
1st one is 36
2nd one is 64
3rd one is square root of 72
4th one is square root of 128
Which is equivalent to the expression (3x^2 – 2x + 14) – (6x² + 3x – 9)?
A) -3X^2 - x +5
B) -3X^2-5x+5
C) -3x^2-5x+23
D) 18x^4-6x^2-126
correct answer is c i think so
A Mall has 21 shops: 9 are pens, 7 are shoes, and 5 are watch shops. What
is the probability that we will go shopping in pens or shoes shop?
Answer:
16/21
Step-by-step explanation:
9+7 / 21
16/21
Answer:
16/21
Step-by-step explanation:
The demoninator is 21
There are 9 pens and 7 shoes.
9+7=16
16/21
You can not simplify 16/21, so that is your final answer.
Problem 1: Your new computer cost $1500 but it depreciates (decreases)
in value by about 18% each year. How much does it cost after 15 years?
a) Does this equation represent growth
or decay? Circle one.
growth decay
b) Identify the initial amount
c) Identify the growth or decay rate
d) Write an exponential function to
model the situation
Y = A (1 r)'
e) How much does the computer cost
after 15 years?
Students, draw anywhere on this slide!
HELP NEEDED!
What is the Surface Area of this pyramid?
A)96
B)101
C)106
D)111
Answer:
A
Step-by-step explanation:
(2 * sqrt(5^2 - 4^2))^2 = 36
4 * 1/2 * 5 * 6 = 60
60 + 36 = 96
a tin has asquare base whose sides measures 32 cm .the vertical sides are 50cm high.cake mixture is poured into the tin and leveled off at the 38 cm mark above the base
(i)the capacity of the tin
(ii)the volume of the cake mixture in the tin in cm^3
(iii)volume of the space unoccupied by the cake in cm^3
Answer:
(a) V = 51200 cubic cm
(b) V' = 38912 cubic cm
(c) V'' = V - V' = 12288 cubic cm
Step-by-step explanation:
side of the square base, s = 32 cm
height, h = 50 cm
height of cake mixture, h' = 38 cm
(a) The capacity of the tin is the volume.
Capacity of tin, V = s x s x h = 32 x 32 x 50 = 51200 cubic cm
(b) The volume of the cake mixture is
V' = s x s x h'
V' = 32 x 32 x 38 = 38912 cubic cm
(c) Volume of unoccupied space is
V'' = V - V' = 51200 - 38912 = 12288 cubic cm
If the quadrilateral below is a trapezoid, find the missing measures.
PLEASE HELP
Answer:
101°
46°
Step-by-step explanation:
The sum of angle C and angle F should be 180°as they are parallel.
Hence, angle C ;
Angle C + angle F = 180°
Angle C + 79° = 180°
Angle C = 180° - 79°
Angle C = 101°
Sum of angle in Trapezoid = 360°
Hence,
C + D + E + F = 360°
101° + 134° + E + 79° = 360°
314° + E = 360°
E = (360 - 314)°
E = 46°
9x-1 41-5x solve for x
Step-by-step explanation:
question is not understood can u write clearly plzzz
Problem Page Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.
Note: Consider we need to find the possible number of ways to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.
Given:
Number of letters = 4
Number of letters selected without replacement = 2
To find:
The total possible number of ways.
Solution:
We have 4 letters A, B, C and D.
So, the number of ways to select first letter is 4.
After selecting a letter the number of remaining letters is 3.
So, the number of ways to select second letter is 3.
Now, the total number of ways to select 2 letters, without replacement, from the 4 letters A, B, C, and D is:
[tex]4\times 3=12[/tex]
Therefore, the required number of ways is 12.
Please help!!!!!!
BRainliest.
Answer:
4.974
Step-by-step explanation:
I need help please it would really make my day
no links or zooms please !!!!
Answer:
267.45 sq units
Step-by-step explanation:
Area of shaded region = Area of Square minus Area of Circle
the sides of the square are twice the radius of 9, therefore 18
A(square) = 18² = 324
A(circle) = π9² = 81π ≈ 56.55
324 - 56.55 = 267.45
what is the vertex of this quadratic?
Answer:
(-3,0)
Step-by-step explanation:
The vertex is the maximum of a downward facing parabola
The maximum is (-3,0)
Find the 69th term of the arithmetic sequence -13, -33, -53, ...
Answer:
-1,373
Step-by-step explanation:
a69 = -13 + (69-1)(-20)
= -13+(68)(-20)
= -13 - 1,360
= -1,373
Answer:
-1373
Step-by-step explanation:
GIVEN :-
A.P. = -13 , -33 , -53 , ...TO FIND :-
69th term of A.P.FACTS TO KNOW BEFORE SOLVING :-
Lets say there's an A.P. whose :-
First term = aCommon Difference = dTotal number of terms = nnth term = aⁿFormula for finding nth term of A.P. = aⁿ = a + (n - 1)d
SOLUTION :-
According to the question ,
First term = -13Common difference = -33 - (-13) = -20Number of terms needed to find = 69By using the formula for finding nth term ,
69th term of A.P. = -13 + (69 - 1)×(-20) = -13 + (-1360) = -1373
3m=5m-8/5...................................
Answer:
its m= 4/5
Step-by-step explanation:
Answer:
[tex]m = \frac{4}{5}[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
An electronics company sells computer monitors
and releases a new model every year. With each
new model, the company increases the screen
size by a constant amount. In 2005, the screen
size was 15.5 inches. In 2011, the screen size was
18.5 inches. Which of the following best
describes how the screen size changed between
2005 and 2011?
A) The company increases the screen size by
0.5 inch every year.
B) The company increases the screen size by 1
inches every year.
C) The company increases the screen size by 2
inches every year.
D) The company increases the screen size by 3
inches every year.
The statement that best describes how the screen size changed between 2005 and 2011 is: A) The company increases the screen size by 0.5 inch every year.
Screen size changed between 2005 and 2011Given:
2005= 15.5 inches
2011=18.5 inches
Hence:
2005-2011= 6 years
18.5 inches-15.5 inches=3 inches
Size of screen:
Size of screen=3/6
Size of screen=0.5 increase every year
Therefore the correct option is A.
Learn more about screen size change here:https://brainly.com/question/13261582
#SPJ6
A pyramid has a square base of 14cm and a height is 19 cm and slanted height is 21cm. Find its total surface area and it's volume
Answer:
Total surface area=728cm^2
Volume of pyramid=1241.33 cm^3
Step-by-step explanation:
Given data
Square base= 14cm
Height= 19cm
Slant height = 21cm
Area of all four triangular surfaces= 1/2B*H*4
Area of all four triangular surfaces= 1/2*14*19*4
Area of all four triangular surfaces= 1/2*1064
Area of all four triangular surfaces=532 cm^2
Area of square base= 14^2
Area of square base=196cm^2
Total surface area= Area of all four triangular surfaces+Area of square base
Total surface area=532+196
Total surface area=728cm^2
Volume of pyramid= a^2h/3
Volume of pyramid= 14^2*19/3
Volume of pyramid= 196*19/3
Volume of pyramid=3724/3
Volume of pyramid=1241.33 cm^3
NEED HELP ASAP!!!!!!George and John travel 392 miles in 7 hours. If they travel at the same rate, how long will it take them to travel 728 miles?
a) Find their rate: _____ mph
b) It took them ____ hours to travel 728 miles
anyone know how to do it?
Answer:
sorry i dont know how to do this yet moths do a lot of tufff too u know what im sayin
Step-by-step explanation:
please help this is due at 8 i'll mark you brainlist
Answer:
Surface Area = 1633.63 square yd
Step-by-step explanation:
[tex]r = 10, \ h = 16\\\\Surface \ Area = 2 \pi r^2 + 2 \pi r h\\\\[/tex]
[tex]= 2 \pi \times 10^2 + 2 \pi \times 10 \times 16\\\\=200 \pi + 320 \pi\\\\= 520 \pi\\\\ =1633.63 \ yd ^2[/tex]
Find the value for the given variables. Give the variables in simplest radical form.
[tex] \huge\boxed{ \boxed{\mathrm{ \underline{Answer}࿐ }}}[/tex]
The given triangle is a right angled triangle,
so let's apply trigonometry here :
[tex] \sin(30) = \dfrac{7}{y} [/tex][tex] \dfrac{1}{2} = \dfrac{7}{y} [/tex][tex]y = 7 \times 2[/tex][tex]y = 14 \: \: units[/tex]Now,
[tex] \cos(30) = \dfrac{x}{y} [/tex][tex] \dfrac{ \sqrt{3} }{2} = \dfrac{x}{14} [/tex][tex]x = \dfrac{14 \sqrt{3} }{2} [/tex][tex]x = 7 \sqrt{3} [/tex][tex]x = 12.12 \: \: units[/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Indicar cuál digito está en la posición de las centenas y cuál está en la posición de las unidades.
2.698
Answer:
cantenasjajsjjsjjsjjsnnxkksnjdjidnnkjjdjjsjjjsjndnndkksjm
If quadrilateral WXYZ is a rhombus and ZY = 25, VX = 15, WY = 40 find each measure
Answer:
Size of the side of the square = 25
Step-by-step explanation:
Here WY is the diagonal
VZ = ZX = 15
and VW = VY = 20 (bisector of diagonal)
The diagonals intersect each other at 90 degrees
Hence the side of the Rhombus
Sqrt ( 15^2 + 20^2)
Sqrt (225 +400)
Sqrt (625)
= 25
The yearbook has 12 pages for ads. Each page measures 6 in. By 12 in. Each ad measures 6 in. By 3 in. If all the ad space sells at $10 per ad, how much money will this raise for the yearbook?
Answer:
$480
Step-by-step explanation:
Each page measures 6 in. By 12 in. Each ad measures 6 in. By 3 in
based on the dimensions, there would be 4 ads per page
total ads in 12 pages = 4 x 12 = 48
total cost of ads = 48 x 10 = 480
Which name could be used to describe this group of solid shapes?
Answer: shapes with at least 1 circular face
Step-by-step explanation:
The major types of solid shapes are: cubes, cuboids, prisms, pyramids, platonic solids, torus, cone, cylinder, and sphere.
D Shape with at lease 1 face
HOPE THIS HELPS
Write the equation of the line in fully simplified slope-intercept form.
HELP ASAP
A pair of equations is shown below:
y = 2x + 9
y = 4x − 3
Part A: Explain how you will solve the pair of equations by substitution or elimination. Show the first step you would use. (4 points) Write the solution. (2 points)
Part B: If the two equations are graphed, at what point will the lines representing the two equations intrsect? Explain your answer. (4 points)
Your answer:
Answer:
(6,21)
Step-by-step explanation:
Given that,
y = 2x + 9 .....(1)
y = 4x − 3 .....(2)
From equations (1) and (2),
2x + 9 = 4x − 3
Taking variables both sides and constants to another side.
9+3 = 4x-2x
12 = 2x
x = 6
Put the value of x in equation (1).
y = 2(6) + 9
y = 12 + 9
y = 21
The solution of the given equations is x = 6 and y = 21. If we graph them, they will intersect at (6,21).