Answer:
[tex] \purple { \bold{ a_{10}=161414428}}[/tex]
Step-by-step explanation:
Given sequence is: 4, 28, 196, 1372
28/4 = 7
196/28 = 7
1372/196 = 7
Since, the ratio of any two consecutive terms is same, so it is a geometric sequence.
Therefore,
Common ratio r = 7
First term a = 4
nth term of a geometric sequence is given as:
[tex]a_n=ar^{n-1} \\ \\\implies \\ \\ a_{10}=4.7^{10-1} \\ \\ a_{10}=4.7^{9} \\ \\ a_{10}=4.7^{9} \\ \\ a_{10}=4(40353607) \\ \\ \red{ \bold{ a_{10}=161414428}}[/tex]
The total cost of a tablet device comprises the cost of material, labour and overheads in the ratio 3:4:1. The cost of material is $315. What is the total cost of the tablet?
Answer:
The total cost of the tablet is $840
Step-by-step explanation:
Here, we want to calculate the total cost
Let the total cost be $x
From the ratio, the total ratio is 3 + 4 + 1 = 8
so,;
3/8 * x = 315
3x = 8 * 315
x = 8/3 * 315
x = 8 * 103
x = 840
Determine the intercepts of the line.
-5x – 4y = 10
y-intercept:
X-intercept:
Answer:
y - intercept = -5/2
x-intercept = -2
Step-by-step explanation:
-5x - 4y = 10
At y-intercept , x = 0
0 - 4y = 10
y = 10/-4
y = -5/2
At x-intercept, y = 0
-5x - 0 = 10
-5x = 10
x = 10/-5
x = -2
which is faster 1m/s or 1km/h
Answer:
The answer is 1m/s
Please help this is timed
Large Sugar cubes measure 1/2 inch on each edge. They fit into a rectangular container that is 2 inches long, 1 1/2 inches wide and 1 1/2 inches tall.
The volume of each cube is _____.
____ sugar cubes will fit into the container.
Step-by-step explanation:
multiple 1/2 × 2 × 1 1/2
you can download Desmo calculator or write down what you multiple neatly on a piece of paper and use photo math
Please help you guys, Look at the picture attached
Answer:
Step-by-step explanation:
if (x,y) is the centroid. Then x=(x1+x2+x3)/3,y=(y1+y2+y3)/3
5.
x=(-2+4+10)/3=4
y=(6+0+6)/3=4
centroid=(4,4)
6.
x=(3+5-2)/3=2
y=(3-1+1)/3=1
centroid=(2,1)
Mirasha collected coins. At the end of the week, she had 89 coins in total. She started off with 23 at the beginning of the week. If she got a equal amount of coins each day of the week, not counting the first day, how many coins did she get each day?
Answer:
11 coins each day, not counting the first day
Step-by-step explanation:
89 - 23 = 66
66/6 = 11 coins per day
PLZZZZ give me brainliest!
Answer:
LOLLLLLLLLLLLLLLLLLLLLLL
12) help pls I have the answer I just need to show the work
Which expression is correct for “y”?
Answer: A
Answer:
y = tan-1 (31/23)
Formula: SOHCAHTOA
TOA: tan = opposite/adjacent
31 / 23 = 1.3478
tan-1 of 1.3478 is 53.4264
53.4264 = 53 (rounding to the nearest degree)
y = 53 degrees
Please help, it would be very much appreciated
Answer:
153.86 units squared.
Step-by-step explanation:
given
diameter (d) = 14
radius (r) = 14/ 2 = 7
Area of the circle
= πr²
= 3.14 * 7²
= 3.14 * 49
= 153.86 units squared
Hope it will help :)❤
Either enter an exact answer in terms of π πpi or use 3.14 3.143, point, 14 for π πpi and enter your answer as a decimal.
Answer:
41.67πunits³
Step-by-step explanation:
Since we are not asked what to find, we can as well look for the volume of the cone.
Find the diagram of the cone attached
Volume of the cone = 1/3πr²h
h is the height of the cone
r is the radius of the cone
Volume of the cone = 1/3π(5)²(5)
Volume of the cone= 1/3π(125)
Volume of the cone = 125π/3
Volume of the cone = 41.67πunits³
Re-write the quadratic function below in standard form y=3(x+4)(x+1)
Answer:
y = 3x² + 15x + 12
Step-by-step explanation:
A quadratic function in standard form is
y = ax² + bx + c ( a ≠ 0 )
Given
y = 3(x + 4)(x + 1) ← expand the factors using FOIL
= 3(x² + 5x + 4) ← distribute parenthesis by 3
= 3x² + 15x + 12
Please could someone help me with this
Daisy can clean a house in 9 hours. When she works together with her sister Bella, it takes them 5 hours. Let x represent how long it takes Bella to clean the
house by herself.
Set up an equation to represent the situation. Do not solve.
Answer:
×= 5hrs
Step-by-step explanation:
Daisy 9 hrs
Bella my son 5hrs
A washer and a dryer cost 854$ combined. The washer costs $96 less than the dryer. What is the cost of the dryer
Answer:
950
Step-by-step explanation:
854+96=950 I need more characters so ingnor this sentence.
I need help solving this pls
Answer:
Adding them together. x = 3/2, y = 8
Step-by-step explanation:
Adding because we want to get rid of a variable. If we add, 2x + 6x = 8x, 1/2 * y + (-1/2 * y) = 0, and 7 + 5 = 12. Adding gets rid of the y variable.
By adding we get that 8x = 12 which gives us x = 12/8 = 3/2
Substituting this back into either equation will give us y = 8.
plz fast I need it
plz plz plz
Answer:
PQ = 1/2BC
Step-by-step explanation:
PLZZ HELP AND EXPLAIN IF POSSIBLE
Answer:
456 ft.sq
Step-by-step explanation:
Here's your solution
=> Divide the whole figure in two parts
First part is trapeziumSecond part is square
=> Area of trapezium = 1/2*sum of parrel sides*distance between them
=> Area of trap. = 1/2*( 24 + 11) *24
=> Area = 1/2*35*24
= > Area = 35*12. =. 420 ft.sa
=> Area of square = side*side
=> Area = 6*6
=> Area = 36 ft.sq
=> Total area of figure = 420 + 36
456 ft.sq
Please help! Photo is linked! Help asap! Extra points!
Answer:
c and d
Step-by-step explanation:
Express in simplest form with a rational denominator.
4 over 28
Answer:
Explained in detail below
Step-by-step explanation:
4/28 = 1/7 = 1:7
Perform the operation
(10^2-x+1)-(9x-2)
Answer:
-9x^2+911x-202
Step-by-step explanation:
You will need to multiply each term in the parenthesis with each term in the other parenthesis.
pls help I will give brainleist (4)
Answer:
0.25
Step-by-step explanation:
The sum of the digits of a two-digit number is 10. When the digits are reversed, the number decreases by 36. Find the original number
please help
find the value of x in the isosceles triangle shown below.
Answer:
x = square root of 55
x^2 = 8^2 - 3^2
x^2= 64 -9
x = square root of 55
Activity
On the way home from visiting his family, Vincent's plane cruised at an altitude of 3.2 x 104 feet. He had heard that a man named Felix
Baumgartner skydived from an altitude of 1.28 x 10$ feet. Vincent wants to know how much higher Felix went on his skydiving trip.
write the cruising altitude of vincent’s plane in standard notation
Answer:
Vincent’s plane is cruising at an altitude of 3.2 × 10^4 feet.
Convert the number to standard notation.
3.2 × 10^4 feet
=
3.2 • 10,000 feet
=
32,000 feet
Step-by-step explanation:
This is the sample answer from Edmentum.
Answer:
Question 1 part a =
Vincent’s plane is cruising at an altitude of 3.2 × 104 feet.
Convert the number to standard notation.
3.2 × 104 feet
= 3.2 • 10,000 feet
= 32,000 feet
Part b =
Felix’s skydiving altitude is 1.28 × 105 feet.
Convert the number to standard notation.
1.28 × 105 feet
= 1.28 • 100,000
= 128,000 feet
Part c =
Subtract the two altitudes to find the difference.
128,000 feet − 32,000 feet = 96,000 feet
The difference of their altitudes is 96,000 feet.
Part d =
The difference of the altitudes is 96,000 feet.
Covert 96,000 to scientific notation:
96,000 feet = 9.6 × 104 feet
Question 2 part a =
Vincent’s plane’s altitude is 3.2 x 10^4 feet.
Felix’s skydiving altitude is 1.28 x 10^5 feet.
Transform 3.2 x 10^4 so its exponent matches the power of 10 in 1.28 x 10^5.
To do so, multiply and divide the number by 10.
3.2 x 10^4 = 10/10 x 3.2 x 10^4
= 3.2/10 x 10^4 x 10
= 0.32 x 10^5
Part b =
Calculate the difference of the two altitudes:
1.28 × 105 – 0.32 × 105
= (1.28 – 0.32) • 105
= 0.96 • 105
The difference of their altitudes is 0.96 •105 feet.
Part c =
The difference of Vincent’s and Felix’s altitudes is 0.96 x 10^5 feet.
To convert the answer to scientific notation, multiply and divide the number by 10.
0.96 x 10^5 = 10/10 x 0.96 x 10^5
= (0.96 x 10) x (10^5 x 10^-1)
= 9.6 x 10^4 feet
In scientific notation, the difference of Vincent’s and Felix’s altitudes is 9.6 x 10^4 feet.
Question 3 =
The altitudes are the same. That means you can subtract numbers given in scientific notation using either of two methods: convert them to standard notation and then perform the subtraction, or subtract the numbers in scientific notation without converting them to standard notation.
Step-by-step explanation:
Your answer is in bold. All edmentum answers :)
Hope this helps someone!
Which is the rationalized form of the expression sqrtx/sqrtx+sqrt7
Answer:
(x - √7*√x) / (x - 7)
Step-by-step explanation:
I suppose your expression is √x / (√x + √7)
(√x * (√x - √7)) / ((√x + √7) * √x - √7)) = (√x * √x - √7 * √x) / (x - 7)
= (x - √7*√x) / (x - 7)
Answer:
Its A
Step-by-step explanation:
I just took the test on edge
What symbol makes the statement true?
4/6 3/8
Answer:
>
Step-by-step explanation:
because
16/24 > 9/24 :)
plz help me with this math question
Answer:
8^2-60 , 11^1 , 2^2x5
Step-by-step explanation:
2^2= 4
4 x 5 = 20
11^1= 11
8^2= 64
64-60 = 4
There are 101 Year 13 pupils in a tennis club, out of a total of 146 pupils. Write this proportion as a percentage. Give your answer correct to 1 decimal place when appropriate.
Answer: 69.2%
Step-by-step explanation:
There are 101 Year 13 students out of a total number of 146 pupils.
To find this as a percentage, divide the total number of students by the year 13 students and then multiply by 100%:
= Year 13 students/ Total students * 100%
= 101 / 146 * 100%
= 0.692 * 100%
= 69.2%
How many Square feet of outdoor carpet will we need for this hole? plzz helpp!
Answer: I would say 4 square feet
Step-by-step explanation:
Pls give brainliest
Find the edge of a cube whose volume is equal to the volume of a cuboid with dimensions 36 cm × 75 cm × 80 cm.
Given:
Dimensions of a cuboid = 36 cm × 75 cm × 80 cm.
To find:
The edge of a cube whose volume is equal to the volume of the given cuboid.
Solution:
We know that the volume of a cuboid is
[tex]Volume=length\times breadth \times height[/tex]
[tex]V_1=36\times 75 \times 80[/tex]
[tex]V_1=216000[/tex]
The volume of a cube is
[tex]Volume=a^3[/tex]
Where, a is the side length of the cube.
The volume of cube and cuboid are equal. So,
[tex]a^3=216000[/tex]
[tex]a=\sqrt[3]{216000}[/tex]
[tex]a=60[/tex]
Therefore, the measure of edge of the cube is 60 cm.
pls help need it ASAP
:)
Answer:
x = 4
y = 13
Step-by-step explanation:
x + y = 17
y = 2x + 5
substitute for y:
x + (2x + 5) = 17
reduce:
3x + 5 = 17
subtract 5 from each side:
3x = 12
divide both sides by 3:
x = 4
y = 2(4) + 5
y = 13