Answer:
1.94972 × 10¹⁹ kgStep-by-step explanation:
Mass of the planet:
4.8743 × 10²² kgThe water's mass:
4×10⁺²%Mass of the planet's water:
4.8743 × 10²² * 4×10⁺² / 100 = 19.4972 × 10²²⁺²⁺² = 19.4972 × 10¹⁸ = 1.94972 × 10¹⁹Willie stands on one side of a cart and pushes with a force of 100 Newtons. Jenny stands on the others side of a filing cabinet and pushes with a force of 100 Newtons. If Willie wants to help Jenny demonstrate balanced forces, what does Willie need to do?
Willie needs to keep same force acting by him on the cart inorder to balance the force.
Let's check how?
F_1=100NF_2=-100N[tex]\\ \sf\longmapsto F_{net}=100-100=0N[/tex]
.Hence verified
As a bonus question on a test, Mr. Smith wrote 8z + (5y6w). He told his students the values of each variable: w=6, y=2, and z = 7. What is the simplification of Mr. Smith's expression?
Answer:
416
Step-by-step explanation:
Plug in the variables
8(7) + (5*2 * 6*6)
56 + (10 * 36)
56 + 360
416
Mr. quick bought new computer system. The regular price was 1,580 , but he got a 15% discount. How much did he actually pay?
Answer:
$1343
Step-by-step explanation:
The equation would be
x= 1580 (1-0.15)
x represents how much he actually pays.
1-0.15=0.85.
1580×0.85=1343
Solve the following system using the elimination method
−8y+6x=36
6x−y=15
Answer:
a
Step-by-step explanation:
Answer:
C. (2, -3)
Step-by-step explanation:
Kamile sells sandwiches.
In May, she sold 400 sandwiches.
In June, Kamile sold 20% more sandwiches than in May.
In July, Kamile sold 15% fewer sandwiches than in June.
Calculate the percentage change in her sales from May to July.
Answer:
b
Step-by-step explanation:
Question 3 What is the equation of the parabola that opens up, has a vertex V(5,0), and a y-intercept of 50?
Answer:
y=2(x-5)^2
Step-by-step explanation:
Vertex form:
y=a(x-p)^2+q
(p,q) = (5,0)
y=a(x-5)^2
y-intercept has coordinates (0,50) so, substitute x=0 and y= 50 in the above equation to find "a"
50=a(0-5)^2
50=25a
a=2
equation
y=2(x-5)^2
Anyone that can answer it right gets 30!
Answer:
First
Step-by-step explanation:
1.
[tex]\frac{48}{8} + 2^{3} = 6 + 8 = 14[/tex]
[tex]5 + 3^2 = 5 + 9 = 14[/tex]
2.
[tex]9^{2} - 7^{2} = 81 - 63 = 18[/tex]
[tex]\frac{20}{7-2} = \frac{20}{5} = 4[/tex]
3.
[tex]\frac{150}{5^2} = \frac{150}{25} = 6[/tex]
[tex]30 - 4^{2} - 12 = 30 - 16 - 12 = 30 - 28 = 2[/tex]
4.
[tex]\frac{8 - 7}{2} - 12 = 0.5 - 12 = -11.5[/tex]
[tex]22 - 2 * 3 = 22 - 6 = 16[/tex]
Answer:
first and fourth
Step-by-step explanation:
Equate and compare both sides of the equations. If both sides are equal then the equation is true.
48 ÷ 8 + 2³ = 6 + 8 = 14
right side = 5 + 3² = 5 + 9 = 14
This is a true equation
---------------------------------------
9² - 7² = 81 - 49 = 32
right side = 20 ÷ (7 - 2) = 20 ÷ 5 = 4
This is not a true equation
---------------------------------------
[tex]\frac{150}{5^2}[/tex] = [tex]\frac{150}{25}[/tex] = 6
right side = 30 - 4² - 12 = 30 - 16 - 12 = 14 - 12 = 2
This is not a true equation
--------------------------------------------------
[tex]\frac{8(7)}{2}[/tex] - 12 = [tex]\frac{56}{2}[/tex] - 12 = 28 - 12 = 16
right side = 22 - 2 × 3 = 22 - 6 = 16
This is a true equation
You are in charge of financial services and must calculate overtime pay for employees in your division. Due to a heavy workload, an employee had to do 35 hours of overtime in two weeks. Seven of these hours are at "double time" (i.e. twice usual pay), the rest are at "time-and-a-half". The employee's usual pay is $375 a week at $10 an hour. How much overtime money should the employee be paid for the two week period?
Answer:
$2,100
Step-by-step explanation:
'regular' pay is 375/10 or $37.50 per hour
'time-and-a-half' would be 37.50 + 18.75 = $56.25 per hour
'double time' would be (2)37.50 = $75.00
35 hours in 2 weeks and 7 hours at 'double time' and 28 at 'time-and-a-half'
so:
(7)75 + (28)56.25 = 525 + 1575
Total overtime pay for 2-week period is $2,100
350 items have donated to the community food pantry and 35 of the items are jars of peanut butter. What percent of the donated items are jars of peanut butter?
Answer:
The answer is 25% donated peanut butter
Step-by-step explanation: Easy
What is the solution to the system graphed?
A. (2,-1)
B.(1,-2)
C.(-1,2)
D.(-2,1)
Answer: C. (-1, 2)
Explanation: The two lines intersect at this point. This point satisfies both equations at the same time.
Please help and explain if you can the answer because I don’t know what I’m doing
Answer:
Step-by-step explanation:
THE SIDES OF A TRIANGLE ARE IN THE RATIO 4:4:3. A.WHAT KIND OF TRIANGLE IS IT? B. CALCULATE THE SMALLEST ANGLE OF THE TRIANGLE TO THE NEAREST DEGREE.
Answer:
1
Step-by-step explanation:
30x^8-4x^7+6x^4/-6x^3 perform division
Answer:
[tex]-\frac{x(15x^4-2x^3+3)}{3}[/tex]
Step-by-step explanation:
[tex]\frac{30x^8-4x^7+6x^4}{-6x^3}[/tex]
The first thing I would do is to factor the numerator. All coefficients there are divisible by 2, and all variables are divisible by x⁴. I'll also move the negative sign to the left.
[tex]-\frac{2x^4(15x^4-2x^3+3)}{6x^3}[/tex]
Next, you can simplify 2/6 to 1/3:
[tex]-\frac{x^4(15x^4-2x^3+3)}{3x^3}[/tex]
Finally, the last thing you can do is simplify x⁴/x³ to x/0:
[tex]-\frac{x(15x^4-2x^3+3)}{3}[/tex]
That's as simplified as it gets.
What is John and Linda paid each hour
Fill in the blank with a number to make the expression a perfect square.
y^2 + 6y + ?
Answer:
(y+3)^2 - 9
Step-by-step explanation:
PLEASE HELP ME!!
use the correct form of ser and use a pronoun
Gabriela _____ mi hermana
Answer:Gabriela es mi hermana
Step-by-step explanation:
WHAT IS THE EQUATION IN SLOPE INTERCEPT FORM FOT THE LINE THAT PASSES THROUGH THE POINTS (2,-2) AND (-3,-17)
Answer:
y = 3x - 8
Step-by-step explanation:
to find slope the equation (y2 - y1) / (x2 - x1) is used
this means change of y over change of x
[-17 - (-2)] / (-3 - 2)
(-17 + 2) / -5
-15 / -5 = 3
the slope is 3
to find slope intercept form you must find the y intercept
using y = 3x + b and plugging things in we can find it
we can plug in the first point
-2 = 2(3) + b
b is your y intercept
-2 = 6 + b
b = -8
Answer:
y = 3/1x - 8
steps:
(2,-2) (-3, -17)
x1. y1. x2. y2
y2-y1
x2-x1
-17 - -2 = -15. = 3
-3-2. -5. 1
(2,-2)
y= mx + b
-2 = 3/1(2) + b
-2 = 6 + b
-6 -6
-8 = b
y = 3/1x - 8
The ratio of your monthly allowance compared to your friends monthly allowance is five to three and totally you and your friend make $40 how much money do you make
Would anyone be able to help with this? on my review and not sure how to do it
90 degrees - 78 degrees = 12 degrees
cofunction of sin is cos
answer : cos12
the difference between factors and factor pairs
Answer:
Factors are often given as pairs of numbers, which multiply together to give the original number. These are called factor pairs. A square number will have one factor pair consisting of one factor multiplied by itself. This factor is called the square root of the given number.
. Which equation is linear? y=xy 3 y=-y OOO y=x2-4 3x+4y=24
whats the answer can someone answer please
Answer:
17. 4
18. 4w + 34
19. 39t + 54
Step-by-step explanation:
Answer:
answer of QN 17 is 3 ,answer of QN 18 is 4w + 34 and answer of QN 19 is 39t + 54
Help quick 20 points
Answer:
Step-by-step explanation:
1) isosceles triangle d = (180 - 110) / 2 = 35°
2) 2h + 3h + 4h = 180
9h = 180
h = 20
2h = 40°
3h = 60°
4h = 80°
What must the value of B be if the following linear system has an infinite number of solutions
Y = -3x + 6
By- 9x + 18 = 0
Condition for infinite number of solutions (coincident lines) :-
=》a₁/a₂ = b₁/b₂ = c₁/c₂
Equations :-
1) y = -3x + 6
=》y + 3x - 6 = 0
2) By - 9x + 18 = 0
Here,
a₁ = 1, a₂ = B
b₁ = 3, b₂ = -9
c₁ = -6, c₂ = 18
Now substitute..
a₁/a₂ = b₁/b₂ = c₁/c₂
=》1/B = 3/-9 = -6/18
=》1/B = -3/9 = -6/18
Now,
=》a₁/a₂ = b₁/b₂
=》1/B = -3/9 (cross multiplication)
=》1 × 9 = -3B
=》9 = -3B
=》9/-3 = B
=》-3 = B
OR
=》a₁/a₂ = c₁/c₂
=》1/B = -6/18 (cross multiplication)
=》1 × 18 = -6B
=》 18 = -6B
=》18/-6 = B
=》-3 = B
The value of B if the following linear system has an infinite number of solutions is -3.
_______
RainbowSalt2222 ☔
Please help answer this! I will give you 10 pts! :DD ( please don't say non-sense I really need the answer! )
Answer:
angle a = angle bac = 90 degrees
angle b = angle abc
angle c = angle acb
The width of a rectangle is 6 kilometers
a
less than twice its length. If its area is
56 square kilometers, find the
dimensions of the rectangle.
Answer:
9,333333333333333 and 6 Km
Step-by-step explanation:
The width of a rectangle is 6 kilometers
less than twice its length. If its area is
56 square kilometers, find the
dimensions of the rectangle.
the area of the rectangle is found by multiplying the width by the height, you have the area and the width, divide the area by the width and find the length
56 : 6 = 9,333333333333333 Km
-----------------------------
check
9,333333333333333 * 6 = 56
the answer is good
The ratio of bluebirds to robins is 3 to 2.
Express this ratio using colon symbol (:). Enter your answer in the box.
Instruction: Write your answer without any space(s).
Answer:
The answer would be 3:2, hope it helps
asap asnwerrrrrrrrrrrrrrrrrrrrrrrr
What is the elapsed time from 11:34 A.M. to 12:06 P.M.?
Answer:
12hrs and 32 minutes
Step-by-step explanation:
because the same am time to pm time is exactly 12 hrs and 11:34am is 26 minutes away from 12am so you can 26 minutes to get to 12am then 12am is 12hrs away from 12pm so you add 12hrs and now you are at 12pm at 12pm you add 6 minutes to get to 12:06pm which is a total of 12hrs and 32 minutes
7. Veronica brought her turtle out of its aquarium for 15 minutes every
night for 7 days. How many total minutes did she bring her turtle
out of its aquarium? Write another scenario that uses the same numbers.
Help me plz I know the answer, but I need help writing another scenario that uses the same numbers.
Answer:
Brittany took a 15 minute walk every morning for 7 days. How many minutes did she walk for?
Step-by-step explanation:
You might be able to use this.