Answer:
[tex]\frac{52887}{9900}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating 21 placed after the decimal point.
let x = 5.34212121 ( multiply both sides by 100 and 10000 )
100x = 534.2121... → (1)
10000x = 53421.2121... → (2)
Subtract (1) from (2) thus eliminating the repeating 21
9900x = 52887 ( divide both sides by 9900 )
x = [tex]\frac{52887}{9900}[/tex]
= ( + ) = ( + ) = ( + )
Find the sum: (x^5 - 2x^4 + 3x^2 - 6) + (3x^4 + 4x^2 + x + 4). Enter your answer as a
polynomial in descending order below, and use the caret (^) for exponents.
For example, you would write 4x2 as 4x^2.
Answer:
The sum of the two equation is [tex]x^5 + x^4 + 7x^2 + x -2[/tex]
Step-by-step explanation:
The given two equations are
[tex](x^5 - 2x^4 + 3x^2 - 6)\\ (3x^4 + 4x^2 + x + 4)[/tex]
Now rearranging the two equation in such a way that variables with similar with same power are grouped together -
[tex]x^5 - 2x^4 + 3x^4 + 3x^2 + 4x^2 + x- 6+ 4\\x^5 + x^4 (3-2) + x^2 (3+4) + x -6+4\\x^5 + x^4 + 7x^2 + x -2[/tex]
What is the PE of an object that is 15kg that is 5.0 M above the ground?
Answer:
735 JStep-by-step explanation:
The potential energy of a body can be found by using the formula
PE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
From the question we have
PE = 15 × 9.8 × 5
We have the final answer as
735 JHope this helps you
20 POINTS PLS FAST
Which situation could NOT represent a proportional relationship?
A The amount a babysitter who makes $7.50 per hour earns in h hours
B The cost of purchasing p pounds of oranges for $1.35 per pound
C The number of gallons of water in x barrels with 13 gallons of water in each barrell
D The weight in x weeks of a cat that gains 1 pound per week if its starting weight is 4 pounds
Answer:
d
Step-by-step explanation:
i think its d
-3x + y = 7
5x+ 2y = 3
Substitution?
Answer: r=-1,y=4
Step-by-step explanation:
The formula for throwing a baseball in the air is represented by h=-16t^2 + 12t + 40 where h is the height of the ball. What is the maximum height of the ball?
Answer:
the maximum height of the ball is 42.25 m
Step-by-step explanation:
Given the height function as;
h(t) = -16t² + 12t + 40
At maximum height, the final velocity of the ball will be zero.
The final velocity is calculated as follows;
[tex]v = \frac{dh(t)}{dt} = -32 t+ 12\\\\at \ maximum \ height\ v = 0\\\\Thus, -32 t+ 12 = 0\\\\32t = 12\\\\t = \frac{12}{32} \\\\t = 0.375 \ s[/tex]
At maximum height, the time of motion of the ball is 0.375 s.
The maximum height is calculated as follows;
h(t) = -16t² + 12t + 40
h(0.375) = -16(0.375)² + 12(0.375) + 40
h(0.375) = -2.25 + 4.5 + 40
h(0.375) = 42.25 m
Therefore, the maximum height of the ball is 42.25 m
Please answer need fast
Answer:
B is the correct ans
please mark brainliest
Container A has 200 Liters of water, and is being filled at a rate of 6 liter per minute. Container B has 500 Liters of water, and is being drained at a rate of 6 liters per minute. How many minutes will it take for both containers to have the same amount of water.
Answer:
25 minutes
Step-by-step explanation:
let x represent total time when both containers to have the same amount of water.
the equation to represent container A = 200 + 6x
the equation to represent container B = 500 - 6x
Because both containers would have the same amount of water, the two equations would be equal to each other
200 + 6x = 500 - 6x
collect like terms
12x = 300
x = 300/12
x = 25 minutes
hello please help i’ll give brainliest
Answer:
Step-by-step explanation:
Both arsenic and lead can be / are poisonous, so "poison" is the best response here.
The transformation of 'f' is represented by 'g'. Write a rule for g. f(x)=\root(3)(x). Then show your check steps.
Answer:
[tex]g(x)=-2\sqrt[3]x[/tex]
or
[tex]g(x) = -2f(x)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \sqrt[3]x[/tex]
Required
Write a rule for g(x)
See attachment for grid
From the attachment, we have:
[tex](x_1,y_1) = (-1,2)[/tex]
[tex](x_2,y_2) = (1,-2)[/tex]
We can represent g(x) as:
[tex]g(x) = n * f(x)[/tex]
So, we have:
[tex]g(x) = n * \sqrt[3]x[/tex]
For:
[tex](x_1,y_1) = (-1,2)[/tex]
[tex]2 = n * \sqrt[3]{-1}[/tex]
This gives:
[tex]2 = n * -1[/tex]
Solve for n
[tex]n = \frac{2}{-1}[/tex]
[tex]n = -2[/tex]
To confirm this value of n, we make use of:
[tex](x_2,y_2) = (1,-2)[/tex]
So, we have:
[tex]-2 = n * \sqrt[3]1[/tex]
This gives:
[tex]-2 = n * 1[/tex]
Solve for n
[tex]n = \frac{-2}{1}[/tex]
[tex]n = -2[/tex]
Hence:
[tex]g(x) = n * \sqrt[3]x[/tex]
[tex]g(x)=-2\sqrt[3]x[/tex]
or:
[tex]g(x) = -2f(x)[/tex]
Write the equation of a line going through the points: (1, -2) and (-2, 4)
Answer:
Step-by-step explanation:
y=-2x
Is that right? I'll post the pic
Answer:
I believe it is, I skimmed across it looks accurate to me
Step-by-step explanation:
please help with this. i can even give brainliest!!!!
Answer: i think 10
Step-by-step explanation:
PLEASEEE I NEED HELP
Given the function f(x) = x2 – 8x + 9
a) Use completing the square to express the given function in vertex form.
b) State the coordinates of the vertex.
please helpppppppp , thank you!
Answer:
1/2 is likely but I'd rather go with 2
One dozen students each drop a brass tack six times from a height of six inches onto a level hard surface. They record the number of times the tack lands point up. The table below lists their results.
What was the experimental probability that the tack lands point-up for student 4?
Experimental Probability = 2/3
To find the experimental probability that the tack lands point-up for student 4, we can use the following equation
[tex]\frac{Point-up}{Attempts}\\\frac{4}{6} or\frac{2}{3}[/tex]
If this helped you a Brainliest would be appreciated!
Answer:
0.75
Step-by-step explanation:
Giving brainlist to whoever answers
Answer:
C 2496 in3
Step-by-step explanation:
Answer:
2496 in3
Step-by-step explanation:
Volume = LWH
24*8*13 = 2496
A triangle has one side which is 1 foot long and another side which is 2 feet long.
Write a value that could be the length of the third side, in feet. Show your work.
Answer:
Is the triangle a right triangle?
The balance in Al's account is $ 32.60 . The balance in Dee's account is 3 4 the balance in Al's account. The balance in Zac's account is $ 49.08 less than the balance in Dee's account. What is the balance in Zac's account?
Answer:
Balance in Zac's account = - $24.63
Step-by-step explanation:
Given:
Balance in Al's account = $32.60
Balance in Dee's account = 3/4 the balance in Al's account
Balance in Zac's account = balance in Dee's account - $49.08
Find:
Balance in Zac's account
Computation:
Balance in Dee's account = 3/4 the balance in Al's account
Balance in Dee's account = [3/4][32.60]
Balance in Dee's account = $24.45
Balance in Zac's account = balance in Dee's account - $49.08
Balance in Zac's account = $24.45 - $49.08
Balance in Zac's account = - $24.63
im just clueless i need help
Answer:
.....
Step-by-step explanation:
on what
Answer:
I didn't help because you did not ask any questions
In ΔWXY,m∠W=(2x−12)m∠X=(2 x+17), and∠Y=(9x−7). Find∠X.
Answer:
x = 15
Step-by-step explanation:
2x + 17 = X
x=17-2
= 15
therefore x = 15
If the measure of two angles in a triangle are 60 and 100 degrees, what is the measure of the third angle? a. 20 degrees) b. 50 degrees) c. 30 degrees) d. 180 degrees)
Answer:
A. 20 degrees
Step-by-step explanation:
All triangles have 180 degrees in total !
using that info,
100+60= 160
180-160 = 20
2 easy questions for 35 points
Answer:
for question 5
(1) 9x > 3x + 6
6x > 6
x=1
(2) $100-$10=$90
$90/5=18
Joan would need to work 18 hours
for question 6
P+ (PRT)/100
475 + 475(8.5)(12)/100
475+484.5
= 959.5
I hope this helped you ;)
The perimeter of the square at the right is 48 inches. What is the area of the square at the right? Explain how you found your answer.
8 7/8 divided by 2 1/2 feet
Answer:
3.55
Step-by-step explanation:
First you must reduce the problems so they do not have a whole. then just divide. You can also use a calculator.
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
Hexagon
Step-by-step explanation:
It has more than 3 sides because it is more sides than a triangle and less than 5 since it has to be fewer sides than a pentagon. A hexagon has 6 sides meaning it has more sides than the pentagon.
Answer:
It should be hexagon
Step-by-step explanation:
Hex equals 6 and quad equals 4, so it would not be quadrilateral or square or recanatgle. So hexagon is your answer.
Please help I will give brainliest IF IT IS CORRECT
Answer:
third graph and (3, -1)
Step-by-step explanation:
y = 2/3x - 3
y = -2x + 5
2/3x - 3 = -2x + 5
2 2/3x = 8
8/3x = 8
8x = 24
x = 3
find 'y'
y = -2(3) + 5
y = -1
The third graph is correct because it shows both a line intersecting the y-axis at -3 and the negative slope line is crossing at +5
Grant made a $2800 investment that piece is simple interest rate at 6% per year. To the nearest hundredth which of the following is the amount of interest here and after one year
F. $1,680.00
G. $46.67
H. $466.67
J. $168.00
Please help ASAP
Answer:
$1,680 - F
Step-by-step explanation:
You do 2800 x 0.6 in ur calculator which is 1680..
NOTE:I haven't done 5/6th grade math in so long.. So correct me if I am wrong please.But I tripple checked this.Select all statements that show correct reasoning for finding 15 ÷ 2/9 * Multiply 15 by 2, then divide by 9. Multiply 15 by 9, then divide by 2. Multiply 15 by 1/9, then multiply by 2. Multiply 15 by 9, then multiply by 1/2
Answer:
Multiply 15 by 9, then divide by 2.
Step-by-step explanation:
We need to solve the given expression.
[tex]15\div \dfrac{2}{9}[/tex]
We know that, [tex]a\div \dfrac{b}{c}=a\times \dfrac{c}{b}[/tex]
We have,
a = 15, b = 2 and c = 9
So,
[tex]15\div \dfrac{2}{9}=15\times \dfrac{9}{2}\\\\=\dfrac{15\times 9}{2}\\\\=\dfrac{135}{2}\\\\=67.5[/tex]
So, the steps are "Multiply 15 by 9, then divide by 2".
the triangle below has an area of 25 units2, find the missing side
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
[tex]A= 0.5 bh[/tex]
[tex]25=0.5 (10)h\\\\[/tex]
[tex]25=5h[/tex]
[tex]5h=25[/tex]
[tex]h=5[/tex]
[tex]-------[/tex]