Answer:
1.5x10^-18
Step-by-step explanation:
8.4x10^9 / x = 5.6x10^27
You could make a proportion:
x(5.6 x 10^27)= 8.4x10^9
divide both sides by 5.6x10^27
x=1.5x10^-18
Answer:
[tex]1.5*10^{-18}[/tex]
Step-by-step explanation:
The question is in the format [tex]\frac{8.4*10^9}{n}=5.6*10^{27}[/tex]
First multiply both sides by n and then divide both sides by the number in scientific notation on the right.
[tex]\frac{8.4*10^9}{5.6*10^{27}}=n[/tex]
We can think of this problem as [tex]\frac{8.4}{5.6}*\frac{10^{9}}{10^{27}}=\frac{8.4}{5.6}*10^9*10^{-27}[/tex]
When dividing like-terms, we subtract their powers (or we can get the multiplicative inverse and add the powers).
We end up with [tex]1.5*10^{-18}[/tex]
Urgent assistance please
Amber Heard invests $2,000,000 dollars to try to settle her payments due to Johnny Depp, the investment pays her a rate of return of 8% that is compounded quarterly. She wants to know how much interes
Solve for x: 10 - 2x = -5x - 5
(1) X = -5
(3) X= 4
(2) x 15
(4)x= -15
Answer: x = -5
Step-by-step explanation:
Hey there, so you need to Solve for x.
x: 10 - 2x = -5x -5
Add All X's to the left side and All numbers to the right side
-2x+5x = -5 - 10
Add
3x = -15
Simplify
x = -5
~I hope I helped you! :)~
Need help ASAP
What is the product?
Answer:
i can't see the picture, it's blocked for me
Step-by-step explanation:
3х - 5 = 10 + 8x
Please answer ASAP will give brainliest
Answer: x = -3
Step-by-step explanation:
3x - 5 = 10 + 8x
3x - 8x = 15
-5x = 15
x = -3
Answer:
x = -3
Step-by-step explanation:
3х - 5 = 10 + 8x
Subtract 3x from each side
3х-3x - 5 = 10 + 8x-3x
-5 = 10+5x
Subtract 10 from each side
-5-10 = 10+5x -10
-15 = 5x
Divide each side by 5
-15/5= 5x/5
-3 =x
The sum of the squares of three consecutive integers is 1454. What are the numbers?
The three consecutive integers are 21, 22, and 23 respectively.
Given that the sum of the squares of three consecutive integers is 1454.
We need to find out what the numbers are.
Let's assume the first integer as x, then the next two consecutive integers can be represented as x + 1 and x + 2 respectively.
Hence we can write the given statement as
x² + (x + 1)² + (x + 2)² = 1454
We can expand the terms of the equation and then simplify it to find the value of x.
After getting the value of x, we can find the next two consecutive integers by adding 1 and 2 to it.
Let's solve the above equation:
x² + (x + 1)² + (x + 2)² = 1454
⇒ x² + x² + 2x + 1 + x² + 4x + 4 = 1454
⇒ 3x² + 6x - 1449 = 0
⇒ x² + 2x - 483 = 0
By solving the above quadratic equation, we can get the value of x as follows:
x = (-2 + √(2² + 4×1×483))/2×1
(We ignore the negative value of x here)
⇒ x = (-2 + 44)/2
⇒ x = 21
Hence the three consecutive integers are 21, 22, and 23 respectively.
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What is the slope of the line X =1?
Two water tanks release water at the same time. • Water tank A holds 6,000 gallons of water and water is released from this tank at a rate of 2 gallons per minute, m. • Water tank B holds 8,250 gallons of water and water is released at a rate of 3 gallons per minute, m. After how many minutes will the two tanks hold the same amount of water?
A 450
B 14,250
C 2,250
D None of the above
Answer:
Step-by-step explanation:
its A
Answer:
c
Step-by-step explanation:
answer is c u have to divide
I'll give you 5 stars if correct.
Warren, a golf fan, was curious about how often professional golfers make successful putts from various distances. He looked at a large sample of putts from different distances (in meters) and recorded the success rate for each distance. He noticed a strong negative linear relationship. Here is computer output from a least-squares regression analysis for predicting success rate based on putt distance
Answer:
Explained below.
Step-by-step explanation:
A correlation coefficient is a mathematical measure of certain kind of correlation, in sense a statistical relationship amid two variables
Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.
Values amid 0.7 and 1.0 (-0.7 and -1.0) implies a strong positive (negative) linear relationship amid the variables.
It is provided that Warren noticed a strong negative linear relationship between the success rate and putt distances.
This implies that as the putt distances are increasing the success rates are decreasing and as the putt distances are decreasing the success rates are increasing.
Answer:
16.85
Step-by-step explanation:
This answer is if the question asks, "Use this model to predict the success rate of putts from 5 meters". When you create your equation, 84.05-13.44(x), plug 5 into x and you get 16.85.
Josh bought 2 pairs of $17 jeans. He also bought four shirts that were $15 each minus a $2
clearance discount on each shirt. Finally he made a stop to get cookies for his party. The
cookies cost $4 per dozen and he needed 7 dozen. Which expression represents Josh's
purchases? What was Josh's total money spent?
Options:
1. 2+17-15+2+4(12+7);$82
2. 2(17) +4(15-2)+4(7) ;$114
3. 2-17+15(4)+4(7)-2 ;$71
4. 2(17)+4(15)-2+4(12)(7) ;$428
Answer:
u stupid
Step-by-step explanation:
dum
yes
because i need points
Solve for the indicated variable
x=3y for y
Answer:
[tex]y = \frac{x}{3} [/tex]
Step-by-step explanation:
divide both sides by 3 to get the answer
Coocjies cost $1.50 each and gallons of milk cost $6.00 each.Grover plans to buy 8 cookies.If he can spend no more $30,gow many cartons of milk can he buy?
Answer:
He can buy no more than 3 gallons
Step-by-step explanation:
Let c = cookies and m = milk
1.5c + 6m
This is how much he is going to spend
it must be less than or equal to 30
1.5c + 6m≤ 30
He is going to buy 8 cookies
1.5*8 + 6m≤ 30
12 + 6m ≤ 30
Subtract 12 from each side
12+6m -12 ≤ 30-12
6m ≤ 18
Divide by 6
6m/6 ≤ 18/6
m≤ 3
Complete the calculation so that each shows the correct sum.
1.036+blank= 4
what is the blank /
Answer:
-2.964
Step-by-step explanation:
Write the equation of the parabola in vertex form. vertex (1,1) point (2,-5)
15.37 - 7.50 - 5.45 - 5.51 + 10
Answer:
6.91
Step-by-step explanation:
Angela has a $49 store credit at an
online store. She wants to buy a pair
of skates that cost $55. What will her
account balance be when she adds
the skates to her cart?
49 - 55 = [?]
Please help I’ll give you guys brainiest.
Answer:
???
Step-by-step explanation:
Answer: X=-7
Step-by-step explanation:
Solve
equation
3x + 5 = 14 -2a - 7 = 10 -6y + 4 = -8
Answer:
since when did questions have 2 equal signs
this looks made up
Step-by-step explanation:
Which of the following factors would be used to determine sample size?
confidence level
the required precision (margin of error)
the degree of variation in the population as measured by its standard deviation
all of the above
none of the above
All of the above factors - confidence level, required precision (margin of error), and the degree of variation in the population as measured by its standard deviation - are used to determine sample size.
When determining the sample size for a study or survey, several factors need to be considered: confidence level, required precision (margin of error), and the degree of variation in the population as measured by its standard deviation. Let's break down each factor and understand how they contribute to determining the sample size:
Confidence Level: The confidence level represents the degree of certainty or confidence desired in the results. It is typically expressed as a percentage (e.g., 95% or 99%). The higher the confidence level, the more confident we can be that the estimated result falls within a certain range. For example, a 95% confidence level means that if the study were repeated 100 times, we would expect the true population parameter to fall within the estimated range in 95 out of those 100 times.
Required Precision (Margin of Error): The required precision, also known as the margin of error, defines the acceptable amount of uncertainty or error allowed in the estimation. It represents the maximum difference between the estimated result and the true population parameter that is considered acceptable. A smaller margin of error indicates higher precision and vice versa. For instance, if you want to estimate the proportion of people supporting a particular political candidate with a margin of error of ±3%, it means that the estimated proportion should be within 3% of the true proportion.
Degree of Variation (Standard Deviation): The degree of variation in the population, quantified by its standard deviation, reflects how much the values within the population differ from the population mean. If the population has a high standard deviation, it suggests a larger spread of values, indicating greater heterogeneity. Conversely, a low standard deviation implies less variability and more homogeneity in the population. The standard deviation helps determine how much information is needed from the sample to make accurate estimates of the population parameters.
These factors are interrelated in determining the sample size. As the confidence level increases, the margin of error becomes smaller, requiring a larger sample size to achieve the desired precision. Similarly, a higher degree of variation in the population (larger standard deviation) necessitates a larger sample size to capture that variability accurately.
In summary, the confidence level, required precision (margin of error), and degree of variation (standard deviation) are essential factors used in determining the appropriate sample size for a study or survey. The balance between these factors ensures that the sample is representative enough to provide reliable estimates of the population parameters with the desired level of confidence and precision.
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At MVP Fitness, the enrollment fee is $95 and it costs $40 per month. At the Body Factory, the enrollment fee is only $25, but it costs $50 per month. Write and solve an equation to find the number of months at which the total cost charged by the two companies would be the same.
Answer: 7
Step-by-step explanation:
You would have to set it up like a Variables on Both Sides Equation:
95+40m = 25+50m
Solve the equation correctly, just like any other, and biggidy-boom.
Answer:
...
Step-by-step explanation:
A plant has an initial height of 3 inches and grows at a constant rate of 2 inches each month. A second plant that also grows at a constant rate has an initial height of 1 inch and 29 inches tall after 1 year. after how many months are the plants the same height
Answer:
4.8 months
Step-by-step explanation:
First, let's write down the information that we are given.
Plant A:
Initial Height: 3 in.
Constant Rate of Growth (CRG): 2in/month (2 inches per month)
Plant B:
Initial Height: 1 in.
CRG: 29in/year (29 inches per year)
We can see that Plant B grows 29 inches per year, so lets convert Plant B's 'CGR' to months.
Plant B - Divide by 12 (12 months in a year)
29/12 in/year
Now, Lets put these into equations:
Plant A: y = 2x + 3
Plant B: y = 29/12 x + 1
Now, set these two equations together and solve for x.
2x + 3 = 29/12 x + 1
2 = 5/12 x
4.8
So, after 4.8 months, the plants will be the same height.
Combining like terms!
2.) 3x + 6 x + 5 + 4 - 2x
Answer:
7x+9
Step-by-step explanation:
Because 6+3=9-2=7 and 5+4=9
The radius of a cylinder is increasing at a rate of 1 meter per hour, and the height of the cylinder is decreasing at a rate of 4 meters per hour. At a certain instant, the base radius is 5 meters and the height is 8 meters. What is the rate of change of the volume of the cylinder at the instant?
the rate of change of the volume of the cylinder at the instant is -100π cubic meters per hour.
Given that the radius of a cylinder is increasing at a rate of 1 meter per hour, and the height of the cylinder is decreasing at a rate of 4 meters per hour and the base radius is 5 meters and the height is 8 meters, we need to find the rate of change of the volume of the cylinder at the instant.
Let's start with the formula for the volume of a cylinder;
V = πr²h
Differentiating with respect to time t on both sides,
we get
dV/dt = d/dt (πr²h)
By applying the product rule of differentiation, we get
dV/dt = π × d/dt (r²h) + h × d/dt (πr²)
Differentiating again, we get
dV/dt = π (2rh.dr/dt + r²dh/dt) + 2πrh.dh/dt
Now, substitute the given values and evaluate the derivative at the given instant.
r = 5 meters, dr/dt = 1 meter per hourh = 8 meters, dh/dt = -4 meters per hour
We have,
dV/dt = π (2rh.dr/dt + r²dh/dt) + 2πrh.dh/dt= π [2(5)(8)(1) + (5)²(-4)] + 2π(5)(8)(-4)= π [-20] - 80π= -100π cubic meters per hour
Therefore, the rate of change of the volume of the cylinder at the instant is -100π cubic meters per hour.
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How are these two equations related?
Answer:
They are both functions, linear equations, and they both have a constant rate if that is what you are asking.
Step-by-step explanation:
Constant rate is k in y=kx. For the equation on the left, 2 is the constant rate and for the equation on the right is 0.5. They are both linear equations because if you line them up on a graph, it will show a straight line. And for every input should give one output. Hope this helps! Have a great day!
Any help would be nice
Answer:
I think it's C.
Step-by-step explanation:
A. and D. don't make any sense so I assume they're incorrect. B. just seems wrong also by a small margin.
8^6 = 2^- x 4^-
8 to the power of 6 equals 2 to the power of ____ times 4 to the power of ____.
Answer:
2^7x4^7-8
Step-by-step explanation:
Richard and Teo have a combined age of 45. Richard is 15 years older than twice Teo's age. How old are Richard and Teo?
Answer:
Richard: 35 years old
Teo: 10 years old
Step-by-step explanation:
Let the ages of Richard and Teo be R and T years old respectively.
R +T= 45 -----(1)
R= 2T +15 -----(2)
Substitute (2) into (1):
2T +15 +T= 45
3T +15= 45
3T= 45 -15 (-15 on both sides)
3T= 30
T= 30 ÷3
T= 10
Substitute T= 10 into (2):
R= 2(10) +15
R= 20 +15
R= 35
Thus, Richard is 35 years old and Teo is 10 years old.
A Broadway theater has 600 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $50, main seats for $35, and balcony seats for $35. If all the seats are sold, the gross revenue to the theater is $20,700. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $17,700. How many are there of each kind of seat?
This question was not written properly
A Broadway theater has 600 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $50, main seats for $35, and balcony seats for $25. If all the seats are sold, the gross revenue to the theater is $20,700. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $17,700. How many are there of each kind of seat?
Answer:
Orchestra = X = 270 seats
Main = Y = 350 seats
Balcony = Z
Step-by-step explanation:
Let's represent number of sits in:
Orchestra = X
Main = Y
Balcony = Z
A Broadway theater has 600 seats, divided into orchestra, main, and balcony seating.
X + Y + Z = 600
X = 600 - Y - Z
Orchestra seats sell for $50, main seats for $35, and balcony seats for $25. If all the seats are sold, the gross revenue to the theater is $20,700.
Hence,
50× X + 35 × Y + $25 × Z = $20,700
50X + 35Y + 25Z = 20,700....... Equation 1
If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $17,700.
50×1/2(X) + 35Y + 35Z = $17,700
25X + 35Y + 25Z = $17,700........ Equation 2
600 - Y - Z for X in Equation 1 and 2
Equation 1
50(600 - Y - Z) + 35Y + 25Z = 20,700
30,000 - 50Y - 50Z + 35Y + 25Z = 20,700
Collect like terms
30,000 - 20,700 = 50Y + 50Z - 35Y - 25Z
9,300 = 15Y + 25Z ......... Equation 3
From Equation 2
25(600 - Y - Z) + 35Y + 25Z= $17,700
15,000 -25Y - 25Z + 35Y + 25Z = 17,700
35Y - 25Y + 25Z - 25Z = 17,700 - 15,000
10Y + 0Z = 2,700.......
10Y = 2,700
Y = 2700/10
Y = 270
Hence:
15Y + 15Z = 9,300......... Equation 3
15(270) + 15Z = 9,300
4050 + 15Z = 9,300
15Z = 9300 - 4050
15Z = 5250
Z = 5250/15
Z = 350
X + Y + Z = 600
270 + 350 + Z = 600
Z = 600 - 270 - 350
Z =
8x-2=-9+7x solve anybody
Answer:
X = -7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
8x-2= -9 +7x
+9. +9
8x+7= 7x
-8x. -8x
7 = -x or -1x
÷ -1 to both sides
x = -7
hope this helps
An after school job pays $46.50 for 6 hours of work. What is the unit rate?