Answer:
2.68 × [tex]10^{26}[/tex] Km³
Step-by-step explanation:
Using the given formula for volume V, then
V = [tex]\frac{4}{3}[/tex] π × (4 × [tex]10^{8}[/tex] )³
= [tex]\frac{4}{3}[/tex] π × 4³ × ([tex]10^{8}[/tex] )³
= [tex]\frac{4}{3}[/tex] π × 64 × [tex]10^{24}[/tex]
= 268 × [tex]10^{24}[/tex]
= 2.68 × 10² × [tex]10^{24}[/tex]
= 2.68 × [tex]10^{26}[/tex] Km³
Solve the inequality:
11x+12≥45
Select one:
x 3
x≥3
x≤3
Help with the whole thing please and thanks
1a. closest to 1
b. closest to 0
2a. closest to 1
b. closest to 1/2
Numb 3. Ain't clear.
4. Not sure.
5a. closer to 1
b.closer to 1/2
c. 3/4 - 5/12 = 1/3
6. 26/15
7. 7/18
8. 47/240
9. 191/225
10. 11/60
11. 81/200
PLEASE HELP!! (Look at the picture)
What is the value of x in the solution to the system of equations below?
15x - 12y = 13
30x + 9y = 4
Answer:
1/3
Step-by-step explanation:
Use the elimination method.
15x - 12y = 13
30x + 9y = 4
If you add both equations you will not cancel out any variables, so you need to multiply one of the equations by something. Multiply the first equation by -2 to cancel out the x values.
-2(15x - 12y = 13)
30x + 9y = 4
You should have these two equations now:
-30x + 24y = -26
30x + 9y = 4
Add them together now. You should get this now.
33y = -22
Divide both sides by 33. You should get y = -2/3
Now, substitute the y value into any of the two equations that you started with. Let's substitute the y value for the second equation.
30x + 9 (-2/3) = 4
30x - 6 = 4
30x = 10
30 30 (divide 30 and 10 by 30)
x = 1/3
Can someone please help! Its just Area so it should be pretty simple but I am stuck please help!
Answer:
3 and 7
Step-by-step explanation:
There were 45 runners to start a race. In the first half of the race 2/3 of them dropped out. In the second half 2/5 of the remaining runners dropped out. How many runners finished the race?
Answer:
18 racers finished.
Step-by-step explanation:
In the first half, 30 racers dropped out, because 2/3 of 45 is 30. In the 2nd half, 12 racers dropped out, because that is 2/5 of 30. So, in the end, 18 racers finished. (I might have done this wrong i did my best)
2 + 2 = ______________________________________________
Answer:4
Step-by-step
Create an expression with at least 10 terms that would simplify to 5x^ 3 +9x^ 2 -x-6 Try to create something different than what others have created.♀️
Answer:
-x^3 + 2x^3+ 4x^3 + 3x^2 + 7x^2-x^2-9x + 8x-5-1
Step-by-step explanation:
Here, we want to have an expression of at least ten terms which when simplified would give polynomial
We have the expression as
x^3 - 2x^3+ 4x^3 + 3x^2 + 7x^2-x^2+ 2x^2-9x + 8x-5-1
Please help me if you can
Answer:
1)-9x^5 + 7x^2 + 3 2) -2x2 • (x - 7) 3) -23v^2 + 7v + 4 4) is just 7x
Please help me with this ;(
A student performed the following steps to find the solution to the equation
X2 - 2x - 8 = 0. Where did the student go wrong?
Step 1. Factor the polynomial into (x - 4) and (x - 2)
Step 2. X-4 = 0 and x - 2 = 0
Step 3. x = 4 and x = 2
A. in Step 2
B. in Step 1
C. The student did not make any mistakes, the solution is correct
D. in Step 3
Answer:(b) step 1
Step-by-step explanation:
The wrong step in the student's workings is step 1
How to determine the wrong step?The equation is given as:
x^2 - 2x - 8 = 0
Expand the equation
x^2 + 2x - 4x - 8 = 0
Factorize the equation
x(x + 2)- 4(x + 2)
Factor out x + 2
(x - 4)(x + 2) = 0
The above means that the factored equation of x^2 - 2x - 8 = 0 is (x - 4)(x + 2) = 0
This means that the step 1 of the student's step is wrong and incorrect
Read more about equations at:
https://brainly.com/question/2972832
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What is 6/-1 expressed as an integer?
Answer:
-6
Step-by-step explanation:
The quotient of a number and 6 minus -1/3 is equal to the quotient of the number and 8. What is the number?
Answer:
x = 8
Step-by-step explanation:
Let the number = x
x/6 - 1/3 = x/8
-1/3 = x/8 - x/6
-1/3 = (6x-8x)/48
-1/3 = -2/48x
Divide both sides by -2/48
x = -1/3 ÷ -2/48
= -1/3 × -48/2
= 48/6
= 8
x = 8
The number = 8
calculate the rise and run to find the slope of the line
Answer:
3
Step-by-step explanation:
To find the slope of the line, you can use the formula rise/run.
Every time the graph moves one unit across the x-axis, it moves three spaces up. Therefore,
Rise = 3
Run = 1
Now to plug this into our formula:
3/1 = 3
The slope of the line is 3.
please help ill give brainliest
Given quadrilateral RSTU, what is the measure of angle R? HELPPPPPPP PLEASEEEEE!!!!!!
Answer: did you ever get the answer?
Step-by-step explanation:
Answer:
Step-by-step explanation:
?
What is a formula for the nth term of the given sequence? 48, 72, 108
Answer:
[tex]a_n=48*1.5^{n-1}[/tex]
Step-by-step explanation:
Geometric Sequence
In geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.
We are given the sequence:
48, 72, 108, ...
The common ratio is found by dividing the second term by the first term:
[tex]r=\frac{72}{48}=1.5[/tex]
To ensure this is a geometric sequence, we use the ratio just calculated to find the third term a3=72*1.5=108.
Now we are sure this is a geometric sequence, we use the general term formula:
[tex]a_n=a_1*r^{n-1}[/tex]
Where a1=48 and r=1.5
[tex]\boxed{a_n=48*1.5^{n-1}}[/tex]
For example, to find the 5th term:
[tex]a_5=48*1.5^{5-1}=48*1.5^{4}=243[/tex]
A tornado is located between city hall and a cell phone tower and is heading towards the cell phone tower. By what angle does the tornado’s direction need to change so that it passes over the radar station instead?
Answer:
the amount of angle the hall is so prob like 5
Step-by-step explanation:
you provided insufficient details to answer
Answer: 30 degrees
Step-by-step explanation:
2 interior angles of 75 degrees.
75+75=150.
180-150=30
Whats values x= 2+/- i are the the roots of the quadratic equation?
Answer:
x^2 - 4x + 5 = 0
Step-by-step explanation:
:)
x = (2 + i) and (2 - i) are the roots of the quadratic equation f(x) = x² - 4x + 5.
What are roots of a quadratic equation?The values of variables satisfying the given quadratic equation are called its roots.
Given (2 + i) and (2 - i) are roots of the quadratic equation.
Let the quadratic equation be f(x).
(x - (2 + i)) and (x - (2 -i)) are the factors of f(x).
Since, f(x) is a quadratic equation, it has only two roots.
f(x) = (x - (2 + i))(x - (2 - i))
f(x) = x² - (2 - i)x - (2 + i)x + (2 - i)(2 + i)
f(x) = x² - 2x + ix - 2x - ix + 4 - i²
f(x) = x² - 4x + 4 + 1
f(x) = x² - 4x + 5
Learn more about roots of quadratic equation here
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plz help me with math :)
Answer:
it would be 3 in the first box and 24 in the other
Step-by-step explanation:
because the ratio is 3 years to 24 montsh most of the time the larger number is on the left and the smaller number is on the right and 3 years is more than 24 months 24 months is only two years
16) Ken earned $128 from his part-time job this summer. He spent 25% of his money on games. He
is going to donate 1/6 of the remaining money to charity. How much will the charity receive?
OA) $15
OB) $16
OC $32
OD) $80
Answer:
B) $16
Step-by-step explanation
The model represents the equation 3x - 2 < 4 what is the solution for this inequality
Answer:
x < 2
Step-by-step explanation:
3x - 2 < 4
+ 2 | + 2
------------------
3x < 6
↓
(3x) / 3 < 6 / 3
↓
x < 2
please help. i will mark brainliest for whoever is correct.
Answer:d) g(x)=x^1/3-1.5
Step-by-step explanation:
help please i have an f!!
Answer:
1x=3y
-9x=-2y
Step-by-step explanation:
6x=-4y
17x=-2y
4y
17x=-2y
HELP PLZZZZZ AS SOON AS POSSIBLE GEOMETRY WITH EXPLANATION
Answer:
34.06°
Step-by-step explanation:
25 is the length of the hypotenuse side and 14 is the length of the opposite side.
Therefore, you will need to use sine to work out the missing angle.
sinx = opp / hyp
sinx = 14 / 25
x = sin ^ -1 (14 / 25)
= 34.06°
The graph shows the number of miles you and a friend run each week while training for a race.
Answer: 4 miles
Step-by-step explanation:
Please help down below
Answer:
The answer is B
Hope this helps
Answer:
The first answer
Explanation:
Ok I added an explanation lol-
So B is incorrect. It gets confused. 332/4 simplified isn't 1/83, but it's 83/1 (aka 83)
C doesn't even make sense 6-6
And D isn't 5 2/5 it's 7 2/5
A line passes through the points (-8, 7) and (-11,-11). Find the value of a such 1 point
that the point (-7,a) lies on the line. a=
Your answer
Answer:
a=12
Step-by-step explanation:
we need the slope of this line. Find it with the slope formula
m= y2-y1 / x2-x1 with the points given p1=(-8,7) and p2=(-11,-11)
m=-11-7 / -11-(-8) (x1,y1) (x2,y2)
m= -18 /-11+8
m= -18 / - 3
m= 6
next plug in one of the point into the point-slope formula [y-y1=m(x-x1)]
y-7=6(x-(-8)) ( simplify this towards the slope intercept form [y=mx+b]
y-6=6(x+8)
y-6=6x+48
y=6x+54
now we can plug in our point of (-7,a) to find what a is
a=6(-7)+54
a=-42+54
a=12
:)
What is the solution for 3x =9
x = 3
Divide each term by 3 and simplify.
I need help please and thank you