Answer:
-83.33 [tex]m/s^2[/tex]
Step-by-step explanation:
Given that:
Initial speed of satellite = 10,000 m/s
Final speed of satellite = 5,000 m/s
Time taken = 1 minute
Let us convert it into seconds.
Time taken = 1 minute = 60 seconds
Let us have a look at the formula:
[tex]v=u+at[/tex]
where [tex]v[/tex] is the final speed
[tex]u[/tex] is the initial speed,
[tex]t[/tex] is the time taken and
[tex]a[/tex] is the acceleration
[tex]5000=10000+a\times 60\\\Rightarrow 60a = 5000-10000\\\Rightarrow 60a = -5000\\\Rightarrow a = -\dfrac{5000}{60}\\\Rightarrow \bold{a = -83.33\ m/s^2}[/tex]
Negative sign indicates that the satellite is in slowing down motion i.e. its speed is decreasing.
So, the answer is:
-83.33 [tex]m/s^2[/tex]
Find the slope of each line defined below and compare their values.
Equation of Line A:
-1=
(x – 6)
Graph of Line B:
10
7
6
5
3
2
-Q-
8-7-6
-5
-3
-2 -1
2
3
4
5
6
8
to
g
-3
The slope of Line A is
and the slope of Line B is
Therefore the slope
of Line A is
the slope of Line B.
Step-by-step explanation:
The equation of line A:
y - 1 = 0.5x - 3
y = 0.5x - 2. Hence its gradient is 0.5.
For line B, its y intercept is -8, so y = mx - 8.
When x = -4, y = -4m - 8 = 0 as shown in the graph. This means that m = -2.
So the equation of line B:
y = -2x - 8. Its gradient is -2.
Since |-2| > |0.5|, line B is steeper than line A.
The slope of the line A(1/2) > slope of line B(2).
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Take Points from the graph as (-4, 0) and (0, 8)
so, the slope is
m = (8-0)(0-(-4))
m = 8/ 4
m = 2
So, the slope- intercept form
y- 0 = 2(x- (-4))
y= 2x + 8
Hence, the slope of the line A(1/2) > slope of line B(2).
Learn more about slope here:
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Angie and Kenny play online video games. Angie buys 1 software package and 1 month of gameplay. Kenny buys 2 software packages and 3 months of gameplay. Each software package costs $50. If their total cost is $218, what is the cost of one month of gameplay?
Answer:
The cost of one-month gameplay is $39.33 or 39.
Step-by-step explanation:
Let the cost of one month = x
The cost of software = $50
The total amount that can be spent = $218
Therefore, we have to find the cost of one month of game play. Here is the following equation.
218 = (50 + x) + (50 + 2x)
218 = 100 + 3x
218 – 100 = 3x
118 = 3x
x = 118 / 3
x = 39.33 or 39
thus, the cost of one-month gameplay is $39.33 or 39.
For Thanksgiving, a family of 9 is trying to share 4 store-bought pies fairly. If each pie is pre-cut into 8 slices, and everyone gets the same number of slices, how many slices will be left over?
Answer:
5
Step-by-step explanation:
Solve for n: 4n = 2n + 6
A. 1
B. 2
C. 3
D. 4
E. 12
an apple orchard sells apples in a bags of 10. the orchard sold a total of 20,430 apples in one day. how many bags of apples was it
Answer:
2043
Step-by-step explanation:
you divide 20430 by 10 and you get your answer
Randy walks his dog each morning. He walks StartFraction 7 Over 12 EndFraction of a mile in 7 minutes. How many miles does he walk in 1 minute?
i found the answer its 1/12 you just dived 7 and 7 and then leave the bottom number alone, and then what do you get 1/12.
Answer:
1/12
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
I got the question purposely wrong so I could see the right answer
The distance to the sun in inches is 1.116 x 10^9 How many fireflies would it take to reach the sun if they were put end to end?
show work please
Answer:
THE DISTANCE OF SUB IS 5892480000000IN
1MI=63630 IN
930000000MI=93000000×63360 IN=589248000000IN
X=NUMBER OF FIREFLIES
X=0.4IN=5892480000000IN
X=58924800000000IN×0.4IN
X=147312000000000
Answer:
This is wrong, I used this answer too and it was wrong.
Step-by-step explanation:
I need the answer and the work (it’s geometry)
Answer:
D
Step-by-step explanation:
The starting point is B and the ray extends towards A.
So the asnwer is D.
How many solutions exist for the equation 5(x-1)+2 = 2x+3x-3 ?
Answer:
infinite number of solutions
Step-by-step explanation:
Given
5x - 1) + 2 = 2x + 3x - 3 ← distribute and simplify
5x - 5 + 2 = 5x - 3, that is
5x - 3 = 5x - 3
Since both sides are equal then there are an infinite number of solutions to the equation.
In which graph is y a direct variation of x?
A.
B.
C.
D.
Answer:
D
Step-by-step explanation:
The line is going through the origin.
PLEASE HELP ME! How do I find x?????????
Answer:
Here you have to use the vertically opposite angle
your answer is 35
because vertically opposite angles are equal
x=35
Step-by-step explanation:
Answer:
x = 35
Step-by-step explanation:
X and 35 are vertical angles and vertical angles are equal
In the visit to the Old Folks' Home last weekend, Alice spent time chatting with Mr Han and helping him with simple chores. She found that Mr Han is 36 years older than her. 7 years later, Mr Han will be 3 times as old as her. How old is Mr Han now?
I think Mr. Han is around the 60 or 70 age.
I am really sorry that I couldn't answer this problem. Try starting with 21 and multiply that by 3. To check if you can do it, add 43 to the number you multiply 3 with. Again, i am really sorry that i only wrote a hint. Good luck finding the answer!
Now the age of Mr. Han will be 54 years old.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Let x be the age of Mr. Han and y be the age of Alice.
She found that Han is 36 years older than her. Then the equation will be
x = y + 36 ...1
7 years later, Han will be 3 times as old as her. Then the equation will be
(x + 7) = 3(y + 7)
x = 3y + 14 ...2
From equations 1 and 2, we have
3y + 14 = y + 36
2y = 22
y = 11
Then the value of x will be
x = 11 + 36
x = 47
The age of Mr. Han will be
⇒ 47 + 7
⇒ 54
Now the age of Mr. Han will be 54 years old.
More about the solution of the equation link is given below.
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If tn is 2n+3 find t7 t30 and s10
Answer: t₇ = 17 t₃₀ = 63 S₁₀ = 140
Step-by-step explanation:
t₇ = 2(7) + 3
= 14 + 3
= 17
t₃₀ = 2(30) + 3
= 60 + 3
= 63
S₁₀ = (t₁ + t₁₀)/2 × 10
= (5 + 23)/2 × 10
= 28/2 10
= 14 × 10
= 140
2x + 3 = -7
What is the answer?
Answer:
x = -5
Step-by-step explanation:
Original Equation: 2x + 3 = -7
Subtract 3 from both sides:
2x + 3 - 3 = -7 - 3
Simplify:
2x = -10
Divide both sides by 2:
[tex] \frac{2x}{2} = \frac{ - 10}{2} [/tex]
Simplify:
x = -5
when twelve is subtracted from three times a certain number and the number and the is divided by four, the answer is eighteen. find the number?
Answer:
[tex]<font color=pink>[/tex]
According to the question, we get the equation :
[tex]<font color=blue>[/tex]
3x-12=18
[tex]<font color=black>[/tex]
⛈Let's find x :
[tex]3x - 12 = 18 \\ ⟹ 3x = 18 + 12 \\ ⟹ x = \frac{30}{3} \\ ⟹x = 10[/tex]
Hope you understand
{3x+y=10
{X-4y=-1 You must solve for Y
Answer:
x = 3 and y = 1
Step-by-step explanation:
Solve the following system:
{3 x + y = 10
x - 4 y = -1
Express the system in matrix form:
(3 | 1
1 | -4)(x
y) = (10
-1)
Solve the system with Cramer's rule:
x = 10 | 1
-1 | -4/3 | 1
1 | -4 and y = 3 | 10
1 | -1/3 | 1
1 | -4
Evaluate the determinant 3 | 1
1 | -4 = -13:
x = 10 | 1
-1 | -4/(-13) and y = 3 | 10
1 | -1/(-13)
Simplify 10 | 1
-1 | -4/(-13):
x = -1/13 10 | 1
-1 | -4 and y = 3 | 10
1 | -1/(-13)
Simplify 3 | 10
1 | -1/(-13):
x = -(10 | 1
-1 | -4)/13 and y = -1/13 3 | 10
1 | -1
Evaluate the determinant 10 | 1
-1 | -4 = -39:
x = (-1)/13×-39 and y = -(3 | 10
1 | -1)/13
(-1)/13 (-39) = 3:
x = 3 and y = -(3 | 10
1 | -1)/13
Evaluate the determinant 3 | 10
1 | -1 = -13:
x = 3 and y = (-1)/13×-13
(-1)/13 (-13) = 1:
Answer: x = 3 and y = 1
Cindy brought chocolate and vanilla cupcakes to school for her birthday. 15 students decided to take a cupcake, and 9 of them picked vanilla. What percentage of the students picked a vanilla cupcake?
Answer:
37.5%
Step-by-step explanation:
There are 24 students that decided to pick a cupcake at all. 9 out of 24 students chose vanilla. Therefore, 37.5% of students chose vanilla.
Please help with d. Thank you!!
I can collect 1.6 pecks of chile peppers a day. How many liters or peppers could I collect in a week?
Answer:
11.2
Step-by-step explanation:
multiply 1.6 by 7 since that's how many days there are in a week
Answer:
11.2
Step-by-step explanation:
you collect 1.6 packs of chile peppers a day there is 7 days in a week 1.6x7=11.2
hope it helps.
What is the x-value in the solution to this system of linear equations? 2x − y = 11 x + 3y = −5
Answer:
x = 4
Step-by-step explanation:
Given the 2 equations
2x - y = 11 → (1)
x + 3y = - 5 → (2)
Multiply (1) by 3 and add to (2) to eliminate the y- term
6x - 3y = 33 → (3)
Add (2) and (3) term by term to eliminate y, that is
7x = 28 ( divide both sides by 7 )
x = 4
Answer:
x-4
Step-by-step explanation:
What is the ratio of 1:2 of 1250
79,000 people live in a circular region with a population density of 513 people per square mile. What is the radius of the region
Answer:
step by step
Step-by-step explanation:
the answer is 7
The largest prime factor of thirty-five is _____. 7 5 9 11
Answer:
7
Step-by-step explanation:
Since 9 and 11 do not factor 35, they are not the answer.
5 is a factor of 35, but not the largest. So, the answer is 7.
Answer:
the largest prime factor of 35 is 5
solve the equation for x. x/3 = (2x + 3)/7A. B. 2 C. 3 D. 3/7 E. -3
Answer:
x = 9Step-by-step explanation:
[tex] \frac{x}{3} = \frac{2x + 3}{7} [/tex]
Cross multiply
That's
7x = 3( 2x + 3)
Multiply the terms
That's
7x = 6x + 9
Subtract 6x from both sides
We have
7x - 6x = 6x - 6x + 9
Simplify
We have the final answer as
x = 9Hope this helps you
You are a contractor and charge $45 for a site visit plus an additional $24 per hour for each hour you spend working at the site. Write and solve an equation to determine how many total hours you have to work to earn $810 working at two separate work sites. Let the number of hours you work be y.
Answer:
Equation: 810= (90 + 24y)
y = 30 hours
Step-by-step explanation:
Given:
Site visit = $45 per site
cost per hour worked = $24
for each work site, the total amount of money earned
= site visit fee + cost for working
But the question mentions TWO sites, hence there will be two site visits. Therefore for TWO sites, we have to account for TWO site visit fee.
Therefore for TWO sites, the total amount of money earned
= site 1 visit fee + site 2 visit fee + cost for working
= (2 x site visit fee) + cost for working ------ Equation 1
We are further given that we worked y hours at the hourly work rate of $24 per hour.
Hence the cost for working
= y hours x hourly rate
= y x $24
= $24y (substituting this into equation 1 above)
for TWO sites, the total amount of money earned
= (2 x site visit fee) + cost for working
= (2 x $45) + $24y
= $90 + $24y
= $(90 + 24y)
We are also given that we have to earn $810 for two sites, hence
810 = 90 + 24y
810 - 90 = 24y
24y = 720
y = 720/24
y = 30 hours
Pls help me on this question ASAP I wil make the anyone who can answer this for me the brainliest
Answer:
Forget it, i'm confused
Step-by-step explanation:
(3x+2)+(5x-5)=8x-3
(17x-7)-(8x-3)=9x-10
Double Check
9x-10+5x-5+3x+2
17x-15+2
17x-13
I’m stuck on this question
Answer:
x= 0.4
Step-by-step explanation:
x^2 = 4/25 (0.16)
x = 0.4 Square root both sides
A number is 2 /5 times another number. Their sum is 70. Find the numbers.
Answer:
50,20
Step-by-step explanation:
let the two numbers be x and y respectively.
According to the question,
y=2/5 times of x
Or,
y= 2x/5 ..........(1)
Again,
or, x+y=70
or, x+2x/5=70
or, (5x+2x)/5=70
or, 7x=350
therefore x=50
putting the value of y in equation (1)
y=2x/5
y= (2×50)/5
therefore, y=20
Answer:
x = 175
Step-by-step explanation:
given:
A number is 2 /5 times another number. Their sum is 70.
find: the numbers (coefficient)
solution:
cross multiply
2 ( x ) = 70
5
2 (x) = 70 (5)
2 (x) = 350
x = 350
2
x = 175
check:
2 ( x ) = 70
5
2 ( 175 ) = 70
5
350 = 70
5
70 = 70
D
B
8 cm
8 cm
16 cm
С
Find the area of triangle ABC.
What time is 3 ¾ hours after 10:37 pm? ( Your answer must contain am or pm )
Answer:
2:23
Step-by-step explanation:
Answer:
10:37 pm + 3 3/4 hours = 2:22 am
Step-by-step explanation:
10:37
3: 45
2:22
+ :23 minutes from 3:45 to 10:37, which gets you to 11 pm, leaves you with 3 hours and 22 minutes
11pm + 3:22= 2:22 am