a) Combined mass of earth and venues is 10.8 × 10²⁴. b) There are total 18989.2 kg taking earth and venue to equal to the sun.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given that,
Mass of earth = 5.9 × 10²⁴ kg
Mass of venus = 4.9 × 10²⁴ kg
a) Combined mass of earth and venus
5.9 × 10²⁴ + 4.9 × 10²⁴ = 10.8 × 10²⁴
b) If the mass of the sun = 1.9 × 10³⁰
Let's say the total gain of earth and venus combined x so it will equal the mass.
Then,
10.8 × 10²⁴ + x = 1.9 × 10³⁰
x = 18989.2 kg
Hence "Combined mass of earth and venues is 10.8 × 10²⁴ and there are a total of 18989.2 kg taking earth and venue to equal to the sun.
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Hellpp Hellpp helpppp where did they get 0.8 from
Answer:
All they are doing is finding what a 20% drop would be. You do that by multiplying the value by .8 which gives you the total accounting for a 20% drop.
Step-by-step explanation:
A solid is formed by rotating the region bounded by the curve y = e^-3x/2 and the x axis between x=0 and x=1 around the xaxis. The volume of this solid is pi/3 * (1 - e^-3). Assuming the solid has constant density delta, find x and y.
x=
y =
Answer:
x = .28
y = 0
Step-by-step explanation:
Voume of disk = pi *r^2 = pi * e^-3x deltax
x = integal 0 to 1 of x * delta*pi*e^-3x deltax / mass = (delta*pi) integal 0 to 1 of x * e^-3x deltax/mass = (delta*pi)0.08898/mass
mass = sigma *(volume)=delta(pi/3*(1-e^-3)) =delta(.995)
x = (delta*pi)0.08898/delta(.995) = .28
by symmetry y=0
A solid is formed by rotating the region bounded by the curve y = e^-3x/2 and the x axis between x=0 and x=1 around the x axis. Then value of x is 0.28 and y is 0.
What is Volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
The volume of disk is given by formula πr²
Volume of disk = πr²= π × e⁻³ˣ Δx
[tex]x=\int\limits^0_1 {x} \, \pi e^{-3x} dx[/tex]
= (delta.π) integal 0 to 1 of x × e⁻³ˣ delta x/mass
= (delta. π) 0.08898/mass
mass = sigma ×(volume)=delta( π/3*(1-e⁻³)) =delta(0.995)
x = (delta*π)0.08898/delta(0.995) = 0.28
x=0.28
and by symmetry y=0
Hence the value of x is 0.28 and value of y is 0.
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Describe how the values of a and k affect the graphical and tabular representations of the functions y=ax^2, y=x^2+k, and y=ax^2+k.
Step-by-step explanation:
Describe how the values of a and k affect the graphical and tabular representations of the functions y=ax^2, y=x^2+k, and y=ax^2+k.
some wanna look at this and help me ?
Is 4 a solution to the equation 5+x=10? Explain.
Answer:no
Step-by-step explanation:
9514 1404 393
Answer:
no, it makes the equation false
Step-by-step explanation:
A "solution" is a value of x that makes the equation true. When we use 4 in place of x here, we get ...
5 + 4 = 10
9 = 10 . . . . . . . a false statement
The value x=4 does not make the equation true, so it is not a solution.
Giovanni Food Products produces and sells frozen pizzas to public schools throughout the eastern United States. Using a very aggressive marketing strategy they have been able to increase their annual revenue by approximately $10 million over the past 10 years. But increased competition has slowed their growth rate in the past few years. The annual revenue, in millions of dollars, for the previous 10 years is shown.
Year Revune
1 8.53
2 10.84
3 12.98
4 14.11
5 16.31
6 17.21
7 18.37
8 18.45
9 18.40
10 18.43
Required:
a. Construct a time series plot. Comment on the appropriateness of a linear trend.
b. Using Minitab or Excel, develop a quadratic trend equation that can be used to forecast revenue.
c. Using the trend equation developed in part (b), forecast revenue in year 11.
Answer and explanation:
Please find attached
The table below shows the results of a survey of 1000 American college students and their age breakdown. Use the table to answer questions
Answer:
c
Step-by-step explanation:
Hewwo! can anyone answer this? giving brainliest to whoever explains! tysm c:
Answer:
4
Step-by-step explanation:
Basically it's dividing the pounds of dog food to the bags of food by 4
Which expression is equivalent to 4(6 + 8)? (1 point)
a.
10 + 12
b.
10 + 8
c.
24 + 32
d.
24 + 8
Answer:
c
Step-by-step explanation:
distrubte 4 to 6 and 8
4x6=24
4x8=32
24+32
Approximately how many litres is 70 fluid ounces?
Use the conversion 20 fluid ounces = 1 pint and 1 3|4 pints = 1 litre
The value of 70 fluid ounces in liters would be, 2.065 liters
Used the concept of measurement unit that states that,
A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.
To change 70 fluid ounces in liters.
Since we know that,
1 fluid ounce = 0.0295 liters
Hence, change the units of 70 fluid ounces in liters,
1 fluid ounce = 0.0295 liters
70 fluid ounce = 70 × 0.0295 liters
= 2.065 liters
So, we get;
70 fluid ounce = 2.065 liters
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What is the measure of angle F?
E. 20
D. 90
F.?
Answer:
the answer would be 70 because you take 90-20 and you get 70. you have a 90 degree angle is what you're working on right now
Step-by-step explanation:
Which expression is equivalent to 3
10?
No answer text provided.
logio 3
log: 10 =
log, 3 = 10
Answer:
log,3=10
Step-by-step explanation:
hii and good morning
50 students were surveyed about their
favorite ice cream. Here are the results:
Chocolate- 13
Vanilla- 25
Cookie Dough- 12
What decimal represents the students who
prefer cookie dough?
Answer:
0.12
Step-by-step explan
Which expression is equivalent to 8x - 12y + 32?
15 points!!!
Answer:
The third
Step-by-step explanation:
16( times) 0.5x= 8x
16 ( times) -0.75= -12y
16(times) 2= 32
The rest are either above or bellow the expression given.
Answer:
the answer is -0.75y+2)=8x
Let z = z = 8 (cosine (StartFraction pi Over 3 EndFraction) + I sine (StartFraction pi Over 3 EndFraction) ) and w = 3 (cosine (StartFraction pi Over 6 EndFraction) + I sine (StartFraction pi Over 6 EndFraction) ).
Which statement describes the geometric construction of the product zw on the complex plane?
Stretch z by a factor of 3 and rotate StartFraction pi Over 2 EndFraction radians counterclockwise.
Stretch z by a factor of 3 and rotate StartFraction pi Over 6 EndFraction radians counterclockwise.
Stretch z by a factor of 24 and rotate StartFraction pi Over 2 EndFraction radians counterclockwise.
Stretch z by a factor of 24 and rotate StartFraction pi Over 6 EndFraction radians counterclockwise.
Answer:
c on edge
Step-by-step explanation:
fr
Answer:
(B) Stretch z by a factor of 3 and rotate π/6 radians counterclockwise.
Step-by-step explanation:
edge:2022 Happy new year!
A study conducted in year 2002 found that the mean number of children under 18 per household in a certain community was 1.7. A statistician is trying to determine whether this number has changed in the last 6 years. She declares the null and alternative hypotheses to be: Null: The mean number of children per household in 2002 is equal to 1.7; Alternative: The mean number of children per household in 2002 is not equal to 1.7. Which of the following statements is true about this test?
a. This is a step-tailed test.
b. This is a left-tailed test.
c. This is a two-tailed test.
d. This is a right-tailed test.
Answer:
c. This is a two-tailed test.
Step-by-step explanation:
When the rejection region is divided between the two tails of the sampling distribution of the test statistic the test is referred to as two tailed or two sided test. In this case the alternative is set up as
Ha : u≠ 1.7
meaning that values both larger and smaller than u are to be included.
When the alternative hypothesis has the "not equal to sign" it gives the two tailed test.
Solve for x: y=3mx-2b
Answer:
x=(y+2b)/3m
Step-by-step explanation:
y+2b=3mx
(y+2b)/3m=x
xx f(x)f(x)f, left parenthesis, x, right parenthesis
-5−5minus, 5 -2−2minus, 2
-4−4minus, 4 222
-3−3minus, 3 000
-2−2minus, 2 111
-1−1minus, 1 000
000 333
111 -7−7minus, 7
222 -8−8minus, 8
333 -3−3minus, 3
444 111
555 444
What is the average rate of change of fff over the interval -4\leq x\leq 5−4≤x≤5minus, 4, is less than or equal to, x, is less than or equal to, 5?
Give an exact number.
Answer:
4
Step-by-step explanation:
khan
Find a point on the ellipsoid x2+y2+4z2=36x2+y2+4z2=36 where the tangent plane is perpendicular to the line with parametric equations
Answer:
A point on the ellipsoid is (-4,2,2) or (4,-2,-2)
Step-by-step explanation:
Given equation of ellipsoid f(x,y,z) :[tex]x^2+y^2+4z^2=36[/tex]
Parametric equations:
x=-4t-1
y=2t+1
z=8t+3
Finding the gradient of function
[tex]\nabla f(x,y,z)=<\frac{\partial{f}}{\partial{x}},\frac{\partial{f}}{\partial{y}},\frac{\partial{f}}{\partial{z}}>\\\nabla f(x,y,z)=<2x,-2y,8x>[/tex]
So, The directions vectors=(-4,2,8)
Now the line is perpendicular to plane when direction vector is parallel to the normal vector of line
[tex]\nablaf(x,y,z)=(2x,2y,8z)=\lambda(-4,2,8)[/tex]
So, [tex]2x=-4\lambda[/tex]
[tex]\Rightarrow x=-2\lambda[/tex]
[tex]2y=2\lambda\\\Rightarrow y=\lambda\\8z=8\lambda\\\Rightarrow z=\lambda[/tex]
Substitute the value of x , y and z in the ellipsoid equation
[tex](2\lambda)^2+(\lambda)^2+4(\lambda)^2=36\\9(\lambda)^2=36\\\lambda^2=4\\\lambda=\pm 2[/tex]
With [tex]\lambda = 2[/tex]
x=-2(2)=-4
y=2
z=2
With[tex]\lambda =- 2[/tex]
x=-2(-2)=4
y=-2
z=-2
Hence a point on the ellipsoid is (-4,2,2) or (4,-2,-2)
Can y’all help me on this one
What’s the answer?
Answer:
x = 2
Step-by-step explanation:
First translate the image into an equation using the key. Once you do that, your equation should look like this:
(x + x + x) + (-1 + -1 + -1 + -1 + -1) = (-x + -x) + (1 + 1 + 1 + 1 + 1)
________________________________
3x - 5 = -2x + 5
(given)
________________________________
3x - 5 = -2x + 5
+5. +5
(addition property of equality)
*cancel out -5 on the left hand side, and isolate it from x by adding +5 on each side*
__________________________
3x = -2x + 10
+2x +2x
(addition property of equality)
*cancel out the negative 2x, and isolate it from the constant term on the right hand side by adding 2x on both sides*
________________________________
5x = 10
÷5. ÷5
(division property of equality)
*divide by 5(GCF) on both sides to isolate
x by itself*
________________________________
x = 2
________________________________
If you want to test this solution, substitute this back into the equation.
x = 2 → 3x - 5 = -2x + 5. 3(2) - 5 = -2(2) + 5 = 6 - 5 = -4 + 5 = 1 = 1
I need help with this
Answer: 7 - 10⁻²
Steps: 1.4 · 10² / 2 · 10³ = 7 - 10⁻²
Plz mark brainliest:)
Susan's grandpa was fibbing again: "your grandma and I, together, we are over 150
years old!" If her grandpa is 71, and her grandma is 68, what's the real sum of their ages?
Easy as pie.
Just add em.
Making it.
71
+68
------
139
Meaning both of em are 139 years.This also means they are not over 150.
Will mark brainliest, need FAST!!! also, make sure to explain why. and note that it’s 30 mph FASTER on the return trip, not 30 mph back. But I will mark brainliest, please answer!!!!!
Answer:b
Step-by-step explanation: first find the constant of proportionality (y=Kx) and substitute k for 10 because 30/3=10 and then your equation should look like y=10x now see the hours because the person travels 10 mph
The adjacent supplementary angle to any of the interior angles of a triangle is called an exterior angle of a triangle.
Answer:
Correct
Step-by-step explanation:
The supplementary angle to any of the interior angles of a triangle is called an exterior angle, they are supplementary because they form a 180º angle when you extend a straight line from the adjacent side of the angle and any straight angle is a 180º angle, so supplementary angles added up would make 180º.
Luca had a large container of yogurt with 1 and StartFraction 5 Over 8 EndFraction pounds of yogurt left in it. If a serving of yogurt is StartFraction 3 Over 8 EndFraction of a pound, to the nearest whole serving, how many servings of yogurt are in the container?
Answer:There are 4 serving in the container.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Took Edge 2020 Fraction Multiplication and Division Test
7 x7 dived by 5 plz helppppvme
Answer:
Step 1) 7*7 = 49
Step 2) 49/5 = 9.8
Answer:
Step-by-step explanation:
7x7=49, 49 divided by 5=9.8, hope I helped! :P
An airplane maintaining a constant airspeed takes as long to travel 925 mi with wind as it does to travel 775 mi against the wind. If the wind is blowing at 15 mph, what is the rate of the plane in still air
9514 1404 393
Answer:
170 mph
Step-by-step explanation:
The speed of the airplane can be represented by s. The travel time will be ...
time = distance/speed
925/(s +15) = 775/(s -15)
925(s -15) = 775(s +15)
150s = 25500 . . . . . . . . . add 13875-775s
s = 170
The rate of the plane in still air is 170 mph.
Can someone help and evaluate this please
Which point represents the opposite of –2?
PLEASE HELP BEFORE 4 PM!!!
1. 641 divided by 43
2. 4684 divided by 27
3. 6455 divided by 64
Answer:
1. Its about 14.90697674418605. I’m not sure if u want it rounded up if u want it rounded up to the nearest whole it would be 15 if I wanted it rounded up to the nearest tenth then it would be 14.9
2. It’s about 173.4814814814815. I wasn’t sure if I wanted this one rounded up too. Rounded up to the nearest whole it would be 173 and rounded up to the nearest tenth it would be 173.5
3. It’s about 100.859375. I wasn’t sure on this one too. Rounded up to the nearest whole would be 101 and rounded up to the nearest tenth it would be 100.9
Step-by-step explanation: