Using scientific notation, it is found that the measure of one astronomical unit in kilometers is [tex]1.5 \times 10^8[/tex]
A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
In which [tex]a \in [1, 10)[/tex]To realize the conversion from decimal to scientific notation, b is the number of decimal places the comma moves, being positive if to the left, negative if to the right.In this problem, 1 AU = 150,000,000 km.
The comma has to move 8 places to the right, hence [tex]b = 8[/tex]Then, the measure is: [tex]1.5 \times 10^8[/tex]
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Robin currently has 50 subscribers on her You Tube channel, and Dimitri currently has 17 subscribers. Robin gains 4 subscribers every week, while Dimitri gains 7 subscribers each week.
Part A: Set up a system of equations to shows each person's subscribers. (2 points)
Part B: After how many weeks will Robin and Dimitri have the same number of subscribers? (1 point)
Part C: How many subscribers will Robin and Dimitri have when their subscriber count is equal? (1 point)
We want to write and solve a system of equations to model the given situation.
The answers are:
A)
y = 50 + 4*x
y = 17 + 7*x
B) after 11 weeks.
C) 94 subscribers.
First, we must find the two linear equations, we know that Robin has 50 subscribers and she gets another 4 per week.
Then for Robin, we can write:
y = R(x) = 50 + 4*x
The equation that models the number of subscribers that Robin has at week x.
Dimitri at the moment has 17 subscribers and wins 7 per week, then his equation is:
y = D(x) = 17 + 7*x
A) Then the system of equations is just:
y = 50 + 4*x
y = 17 + 7*x
B) Now we must solve the system.
Notice that in both equations we have y isolated, then we can write:
50 + 4*x = y = 17 + 7*x
50 + 4*x =17 + 7*x
Now we can solve this for x:
50 + 4*x =17 + 7*x
50 - 17 = 7*x - 4*x
33 = 3*x
33/3 = 11 = x
This means that at week 11 they will have the same number of subscribers.
C) To get this we just need to evaluate any one of the two linear equations in x = 11
D(11) = 17 + 7*11 = 94
Both of them will have 94 subscribers.
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4 + 5 = 5 + 4
Is it true or false
Answer:
it depend on the question but if it is asking if they have the same answer then it is true
Step-by-step explanation:
Answer: false
Step-by-step explanation: 4+5=9 5+4=-9
Solve if x is equal to 4. y = 2x
In ΔMNO,
m
∠
M
=
(
6
x
+
1
)
∘
m∠M=(6x+1)
∘
,
m
∠
N
=
(
3
x
−
10
)
∘
m∠N=(3x−10)
∘
, and
m
∠
O
=
(
x
+
19
)
∘
m∠O=(x+19)
∘
. Find
m
∠
N
.
m∠N.
Answer:
Step-by-step explanation:
All the angles in a triangle add up to 180°
So you need to add up all your angles and set them equal to 180°
angleM + angleN + angleO=180
(6x+1) + (3x-10) + (x+19)= 180
We don't actually need all these parentheses; this is all just addition and subtraction.
6x+1+3x-10+x+19 =180
Add all the x terms together. Add all the constants (plain numbers) together.
10x + 10 =180
Subtract 10 from both sides
10x =170
Divide by 10.
x = 17
But you need one more step because if you reread the question, you are being asked for the measure of angle N, which is 3x - 10
3*17 - 10 =
51 - 10 =
41
The measure of angle N is 41°
What is the least positive integer which when divided by 5 gives a remainder of 4, when divided by 6 gives a remainder of 5, when divided by 7 gives a remainder of 6, when divided by 8 gives a remainder of 7, when divided by 9 gives a remainder of 8, and when divided by 10 gives a remainder of 9
Answer:
2519
Step-by-step explanation:
In each case, the remainder is 1 less than the divisor. This means the number of interest will be 1 less than the least common multiple of 5, 6, 7, 8, 9, 10.
The prime factors of these numbers are ...
5 = 5
6 = 2·3
7 = 7
8 = 2³
9 = 3²
10 = 2·5
The unique factors are 2, 3, 5, 7. When they are used to their highest powers, the resulting product is ...
2³·3²·5·7 = 2520
The number of interest is 1 less than this, so is 2519.
2519 is the least positive integer that will give the required remainders.
Is
(
x
+
1
)
a factor of the function
f
(
x
)
=
7
x
4
−
5
x
3
−
10
x
2
+
2
x
, and why?
Answer:
It is the first answer choice.
Step-by-step explanation.
Use synthetic division and there is no remainder, so -1 is a factor
Who are the two children that clung to the Ghost of Christmas Present? What do they symbolize?
Answer:
Ignorance and Want
Step-by-step explanation:
Igorance and Want symbolizes the poor in the 19th century. PS: I hope this helps
Answer:
The boy is ignorance and the girl is want, in my opinion (you may have a different take on this) they symbolize the poor. Throughout the novella, we have seen the good side of the poor through the Cratchints who work hard day in day out, and now Dickens is wanting to show how malnourished the poor really is. It can also show how Dickens is saying that if the government doesn't act and help out the poor as well as everyone else, this is what the future for the poor will look like, malnourished and uneducated. It is showing us the consequences of being basically abandoned from society in general, abandoned by the education system, and again, I think that Dickens here is trying to show the consequences of the abandonment of the poor and how the government and the rich should change their ways to stop that from happening by being kind and charitable ect.
3. The school volleyball team is hosting a car wash to raise money for its upcoming season. The coach spends $24 on supplies for the car wash. The team plans to charge $6 per car. How much money will the team make if 50 cars come to the car wash? The coach tells the girls they need to raise at least $400 to attend a camp the following week. How many cars do they need to come to the car wash to make enough money to go to the camp?
$300 if 50 cars come to the car wash
at least 67 cars if they want to raise at least $400
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A scientist is working with 0.9 of gold wire. How long is the wire in millimeters?
Answer:
9000 is your answer to this question hope it helps
Step-by-step explanation:
9000 es su respuesta a esta pregunta espero que ayude
-4r>16 I need help???
Answer:
-4
Step-by-step explanation:
Well to single out the “r”, you must divide both sides by -4:
-4r>16
/-4 /-4
r<4
*remember to switch the sign because you dividing by a negative number*
How many 1/2 -yard lengths are in 1 yard?
If asking how many 1/2 a yard(s) are in a whole yard your answer is 2, because 1/2 + 1/2 = 1
PLEASE HELP ME IT'S DUE TODAY AND IT COULD HELP MY GRADE A LOT
Answer:
c = 13
m∡A = 60°
m∡B = 30°
Step-by-step explanation:
This is a 5-12-13 triangle. However, to make sure, I will put the steps.
Allow for each sides to be denoted as a-b-c, in which c is the hypotenuse (longest side). Set the equation:
a² + b² = c²
Plug in the corresponding numbers to the corresponding variables:
5² + 12² = c²
Simplify. First, solve the exponents, and then add:
(5²) = 5 * 5 = 25
(12²) = 12 * 12 = 144
25 + 144 = c²
c² = 169
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, c, by rooting both sides:
√c² = √169
c = √169 = √(13 * 13) = 13
c = 13
13 is your answer for c.
Note the measurements of the angles. We know that this is a 30-60-90 triangle, and so it will be easy to figure it out. Note that the corresponding angles will depend on that of the opposite side's measurement lengths. The hypotenuse will always be on the opposite side of the largest angle (as given), as c, the longest side, is opposite of ∡C, which is the largest angle (90°). Based on this information, it means that ∡A would be 60° (as it is opposite of the middle number, 12), and ∡B would be 30° (opposite of the smallest number, 5).
ok the other one did not work so what 10 + 10 × 10 + 10 ÷ 10
Answer:
111
Step-by-step explanation:
it is correct 10 + 10 × 10 + 10 ÷ 10= 111
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Enter the explicit rule for the geometric sequence ...
60, 12, 12/5, 12/25, 12/125
Answer:
an = 60 x 1/5^n-1
Step-by-step explanation:
correct me if i am wrong, but I just learned about this stuff so hopefully this helps. The explicit rule/formula is an = a1 x r^n-1. In this formula, a1 is the first term (60), and r is the common ratio (1/5). Now all that is left to do is to write the equation which would be 60 x 1/5^n-1.
What 5 coins add up to 38 cents? Explain how you solved it.
Answer:
3 dimes (10c each), a nickel (5c), and 3 pennies (1c each)
Step-by-step explanation:
10+10+10+5+1+1+1 = 38
Hope that helps.
Is the figure a right triangle?
A yes, the relationship of the sides follows Pythagorean theorem
B no, the relationship of the sides DOSE NOT follow Pythagorean theorem
C no, the relationship of the sides follows Pythagorean theorem
D Yes, the relationship of the sides DOSE NOT follow Pythagorean theorem
Answer:
c will correct..
like
h² = p² + b²
14² = 74 + 122
196 = 196
Based on the information marked in the diagram, AABC and ADEF must be congruent.
True or false
We conclude that the triangles are congruent, so the statement is true.
Are the two triangles congruent?We can see two right triangles ABC and DEF.
In the diagram, we can see that BA = CE, and BC = EF.
And because both are right triangles, we can conclude that FD is equal to AC.
So the 3 sides are equal in both triangles, then we can conclude that the triangles are congruent.
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FOR 20 POINTS r(x)=−7x−3 and q(x)=r(−3x).
What equation shows the correct rule for the function q?
q(x)=21x
q(x)=21x−3
q(x)=21x+9
q(x)=21x+3
Answer:
last one
Step-by-step explanation:
Answer: the correct answer is B the guy above me is wrong
Step-by-step explanation:
34z+6= i dont know how to simplify it
Assume that you are going to open a checking account. You are examining different banks and banking accounts to choose a bank account for your needs. Which of the following statements should not be one of your reasons for examining different banks?
a. Being more informed leads to being better prepared to make financial decisions
b. Bank E offers you a chocolate bar for filling out an application for checking and credit at the same time.
c. Banks could have charges that you do not know about until reading carefully.
d. You will become more aware of how well the banks meet your particular needs.
Answer:the answer is b
Step-by-step explanation:
i took the test
For f (x) = 2x - 1 evaluate f(-8)
Step-by-step explanation:
f(x) = 2x - 1
Putting value of x = - 8
f(-8) = 2(-8) - 1
= - 16 - 1
= - 17
Graph the line that passes through the points (-1,7) and (-3,5) and determine
the equation of the line.
Answer:
y = x + 8
Step-by-step explanation:
find slope first:
m = 7-5 / -1-(-3)
m = 2 / 2
m = 1
now find the y-intercept using either ordered pair; plug 'y', 'x', and 'm' into
y = mx + b to solve for 'b'
7 = 1(-1) + b
7 = -1 + b
8 = b
put 'm' and 'b' into slope-intercept equation of a line, y = mx + b to get:
y = x + 8
Need help with this one
1/2x + 4 = 3 (x - 1/3) what is the solution
Answer:
x = 1.76129406
x=0.09462739
Step-by-step explanation:
EWFrtujyhytgrfeds.DFGFDS
Answer:
Reese's puffs Reese's puffs
y = 6x - 4 when x = -7
Answer:
It's - 28
Step-by-step explanation:
6*-7=-42-4=-28
Answer:
y is -46
Step-by-step explanation:
y= 6x -4 ....means
y =6 *x -4......so replace x with -7
y = 6*-7 -4
y=-42 -4
y= -46
what is 225 decreased by 24% ???
Answer:
171
Step-by-step explanation:
Answer:
171
Step-by-step explanation:
New value =
225 - Percentage decrease =
225 - (24% × 225) =
225 - 24% × 225 =
(1 - 24%) × 225 =
(100% - 24%) × 225 =
76% × 225 =
76 ÷ 100 × 225 =
76 × 225 ÷ 100 =
17,100 ÷ 100 =
171
The graph of part of linear function g is shown on the grid.
Which inequality best represents the domain of the part shown?
Answer:
F
Step-by-step explanation:
open circle at (-9,3) means the symbol must be either < or >
closed circle at (2,-6) means the symbol must be either ≤ or ≥
the x-values of each ordered pair above represent the domain {-9 and 2}
Answer this please!!!
Answer:
$40
Step-by-step explanation: