The total momentum of the two probes with given mass and velocity is equal to option D. 1860 kg m/s.
velocity of probe = 10m/s
mass of probe 1 = 86kg
mass of probe 2 = 100kg
The momentum of an object is given by the product of its mass and velocity.
So, to calculate the total momentum of the two probes,
Find the momentum of each probe, and then add them together.
The momentum of probe 1 is equal to,
p₁ = m₁ × v
Substitute the value we have,
⇒ p₁ = 86 kg × 10 m/s
⇒ p₁ = 860 kg m/s
The momentum of probe 2 is equal to,
p₂ = m₂ × v
⇒ p₂ = 100 kg × 10 m/s
⇒ p₂ = 1000 kg m/s
The total momentum of the two probes is the sum of their individual momenta is equal to
p = p₁ + p₂
⇒ p = 860 kg m/s + 1000 kg m/s
⇒ p = 1860 kg m/s
Therefore, the total momentum of the two probes is option D.1860 kg m/s.
Learn more about momentum here
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if you can answer correctly I will cash app you my cash app is cathackley
Answer:
yo i know the answer its 5$ for me to help
Step-by-step explanation:
(GIVING BRAINLIEST) who can tell me what grade middle school starts in the U.S.A
Answer:
Middle school (also called junior high school)
It starts with grade 6 and ends with grade 8.
Step-by-step explanation:
w^2 + 2 + 48 divided by 2z. If w = 5 and z = 8 *
Replace w and z with the given values:
5^2 + 2 + 48 / 2(8)
Simplify:
75/16 = 4 and 11/16
Can someone actually helped me? People will answer and deleted their comment I really need help
Congruent Angle
Vertical Angle
Adjacent Angle
Complementary Angle
Supplementary Angle
Answer:
14) ∠CBE = 118° supplementary to 62°
15) ∠ABF = 28° complementary to 62°
16 ∠CBA = 152° because it is vertical to ∠DBF
Step-by-step explanation:
14) ∠CBE = 180° - 62° = 118°
15) ∠ABF = 90° - 62° = 28°
16) ∠DBF = 90°+ 62° = 152°
∠CBA = ∠DBF
what is the mean of the ages of the dance instructors?
IM GIVING BRAINLIEST‼️
Answer:
the answer to this is 25
Answer: 25
To find mean you first need to add up all the ages, which gives you 125. Then you divide that number by how many people. In this case it's 5, so divide 125 by 5 which gives you 25. And that's your answer.
Hope this helped you!
help me someone please
Help me plsss first person with the right answer gets Brainliest
Answer:
D
Step-by-step explanation:
Have a nice day!
Which statement does not describe the graph of f(x) = -3
3 (*)*-+2?
A As x→ 00, f(x) +0.
B As x→-0, f(x) →-0.
© The y-intercept is (0, -13).
D The asymptote is y = 2
Eight percent of all college graduates hired by companies stay with the same company for more than five years. The probability, rounded to four decimal places, that in a random sample of 11 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is: the absolute tolerance is /-0.0001
Answer:
0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years
Step-by-step explanation:
For each graduate, there are only two possible outcomes. Either they stay for the same company for more than five years, or they do not. Graduates are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Eight percent of all college graduates hired by companies stay with the same company for more than five years.
This means that [tex]p = 0.08[/tex]
Sample of 11 college graduates:
This means that [tex]n = 11[/tex]
The probability, rounded to four decimal places, that in a random sample of 11 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is: the absolute tolerance is +-0.0001
The tolerance means that the answer is rounded to four decimal places.
The probability is P(X = 2). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{11,2}.(0.08)^{2}.(0.92)^{11} = 0.1662[/tex]
0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years
WILL MARK B!
Please I need help I have a quiz
Answer:
a) 2x² - x + 3 = x(2x + 1) - 2x
<=> 2x² - x + 3 = 2x² + x - 2x
<=> 3 - x = - x
<=> 3 = 0
=> no solution
b) x/2 - x/3 - x/4 = 1/12
[tex] \frac{6x}{12} - \frac{4x}{12} - \frac{3x}{12} = \frac{1}{12} \\ \\ \frac{ - x}{12} = \frac{1}{12} \\ \\ = > - x = 1 \\ \\ \\ < = > x = 1[/tex]
=> the euqation has the solution x = 1
c) |x - 5| = 2|x|
=> x - 5 = 2x
or x - 5 = -2x
<=> x = -5
or 3x = 5
<=> x = -5
x = -5or x = 5/3
d) defined conditions: 2 - x 》 0
<=> x 《 2
we have:
[tex] \sqrt{x + 4} = 2 - x \\ < = > x + 4 = (2 - x) {}^{2} \\ < = > x + 4 = {x}^{2} - 4x + 4 \\ < = > {x}^{2} - 5x = 0 \\ < = > x(x - 5) = 0 \\ [/tex]
<=> x = 0 (because x 《 2)
e)
[tex] \sqrt{5} = \frac{1}{25 {}^{x} } \\ = > 5 = \frac{1}{25 {}^{2x} } \\ < = > 5.25 {}^{2x} = 1 \\ < = > 5.5 {}^{4x} = 1 \\ < = > 5 {}^{4x + 1} = 1 \\ = > 4x + 1 = 0[/tex]
<=> x = -1/4
Answer:
[tex]a) [x: - \infty < x < \infty ][/tex]
[tex]b)[x: - 1][/tex]
[tex]c) [x:- \frac{5}{3} ][/tex]
[tex]d) [x: 3, 0][/tex]
[tex]e) [x: - \frac{1}{4} ][/tex]
Five family members are going to a play. A service charge of $2 is added to the cost of each ticket. The family is willing to pay $250 or less for the five tickets. What is the greatest amount the family is willing to pay for each ticket? PLEASEE HELPPP ME
250 ÷5 = 50
$50
Hope this helps!
Find the value of x.
The answer would be x=18. First you set it up by setting up an equation;
166=7x+40. Then you subtract 40 from each side. Last, you divide both sides by 7 and you should get x=166 or 166=x.
Pls someone help me with this question pls
Answer:
[tex]p =\frac{1}{6}[/tex]
Step-by-step explanation:
Given
[tex]Polygons =\{Quadrilateral, Pentagon, Hexagon, Octagon, Nonagon, Decagon\}[/tex]
Required
Probability of assigning a nonagon
From the given set of polygons, there are 6 polygons in the set and 1 one of them is a nonagon
This means that:
[tex]n = 6[/tex] --- Total
[tex]Nonagons = 1[/tex]
So, the probability, p is:
[tex]p =\frac{Nonagons}{n}[/tex]
[tex]p =\frac{1}{6}[/tex]
-4x - 18 = 46
need help
Answer:
x=−16
Step-by-step explanation:
−4x−18=46
Add 18 to both sides
−4x−18+18=46+18
−4x=64
Divide both sides by -4
-4x/4=64/-4
x=−16
Answer:
x= -16
Step-by-step explanation:
Let's solve your equation step-by-step.
−4x − 18 = 46
Step 1: Add 18 to both sides.
−4x − 18 + 18 = 46 + 18
−4x = 64
Step 2: Divide both sides by -4.
−4x / −4 = 64 / -4
x=−16
Hope it helps T-T
A company makes wax candles shaped like rectangular prisms. Each candle is 5 cm long, 3cm wide, and 10cm tall. If the company used 3900 cm3 of wax, how many candles did they make?
Answer:
26 candles
Step-by-step explanation:
Can someone please help i would really appreciate it
Answer:
[0, -7, 1]
[0, 3, 4]
75% of n is 45. n is what percent of 90?
Answer:
66.67%
Step-by-step explanation:
75 /100 = .75
.75n = 45
45/.75 = 60
60 is n
60/90 = .666667
.666667 * 100 = 66.67%
Answer: for this problem, I will be using proportions.
Step-by-step explanation:
Find n
45 x 100 = 4,5000
4,5000 / 75 = 60
n = 60
60 x 100 = 6,000
6,000 / 90 = 66.66%
So, n is equal to 60 and n is 66.66% of 90.
Solve for n:5*8^3n+1=80
Answer:
8^(3n+1) = 80/5
8^(3n+1) = 16
(2^3)^(3n+1) = 2^4
2^(3*(3n+1) = 2^4
Having same power so;
9n+3 = 4
9n = 4-3
9n = 1
n = 1/9
Someone help me on this please
Answer:
b
Step-by-step explanation:
6 1/5 - 4 2/4=? help I need it now pls thx u.
the measures of the angles of a triangle are shown below. solve for x
Answer is in the file below
tinyurl.com/wpazsebu
Answer:
X = 3
Step-by-step explanation:
All you do is add the angles up and set them equal to 180.
PLEASE HELP!!
Find the lateral area of this cone. Leave your answer in terms of pi.
25 cm
8 cm
Answer:
200
Step-by-step explanation:
pi · radius · height
3.14 · 8 · 25 = 200
extra : i used symbolab.com :)
The vertices of APQR are P(-3, 8) Q(-6,-4), and R(1, 1). If you reflect APQR across the x-axis, what will be the coordinates of the vertices of the image AP'Q'R'?
Answer:(-3,-8),(-6,4),(1,-1)
Step-by-step explanation:
Given
Vertices of the triangle are
[tex]P(-3,8), Q(-6,-4),R(1,1)[/tex]
Coordinates (a,b) when reflected about x-axis is given as (a,-b) i.e. Y coordinate changes its sign
[tex]\therefore P\rightarrow P'(-3,-8)\\\Rightarrow Q\rightarrow Q'(-6,4)\\\Rightarrow R\rightarrow R'(1,-1)[/tex]
20 + 36 = ? (5 + 9)
f f f f f f f f
Answer:
70
Step-by-step explanation:
20+36=56
(5+9)=14
56+14=70
Oi please help me it’s to hard
HELP ME PLEASE I HAVEE 5 MINNS lEft HELP
Answer:
im going to guess the last answer. theone that i can't see
Step-by-step explanation:
I just need these three questions fine, they should be easy, 7th grade level
1) A graph is linear when the line on a graph is a straight line with no curves.
2) A proportional graph means that as x increases, y increases and when x decreases, y decreases and their ratio always stays the same.
3) (I don't know what type of equation you mean but this is my guess)
Division is the last step of an equation.
expand and simplify (2x + 3) (3x - 1)
Answer:
6x^2+7x−3
Step-by-step explanation:
(2x+3)(3x−1)
Apply the distributive property by multiplying each term of 2x+3 by each term of 3x−1.
6x^2−2x+9x−3
Combine −2x and 9x to get 7x.
6x^2+7x−3
Graph if needed:
GUARANTEED BRAINLIEST IF CORRECT!
Given the system of the following two linear equations:
Equation 1: 12x−2y=−1
Equation 2: 4x+6y=−4
What would be the first step in eliminating the variable y?
Answer:
Number 1: Slope= 6, x - intercept= 1/12, y - intercept= 1/2
Number 1 as a whole number is 0.83333 and number 2 as a whole number is 0.50000
Step-by-step explanation:
Hope this helped
7. An equilateral triangle has sides of length 6.2cm, correct to the nearest millimetre.
Complete the statement about the perimeter, Pcm, of the triangle.
