If 2 feet is equal to 60.96 centimeters how many centimeters are in 12 feet PLEASE HELP
Answer:
365.76
Step-by-step explanation:
If 2 feet is 60.96, then 1 foot is 30.48.
30.48 times 12 = 365.76
365.76 centimeters is the answer.
Hope this helps!
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Answer:
365.76 cm in 12 feet
Step-by-step explanation:
Start by setting up two fractions which are equal to one another. We will use x as the unknown amount, which is the number of centimeters in 12 feet here.(see attached picture for a visual)
Now we can cross multiply, which gives us 12*60.96=2*x
Now, solving for x we divide 12*60.96=731.52 by 2, which gives us x=365.76 centimeters in 12 feet.
Which expression is equivalent to (1.009 1/12) 12t?
A. 1.000712t
B. 1.007512t C.1.009012t
D 1.113512t
Answer:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
What is the value of x? 20 POINTS!
Enter your answer in the box.
x =
Answer:
x = 20 ????
Step-by-step explanation:
Your equation is not there
Answer:
what is the aqaitt
ion ???
the mean monthly electric bill for 71 residents of the local apartment complex is $62. what is the best point estimate for the mean monthly electric bill for all residents of the local apartment complex?
If the mean monthly electric bill for 71 residents of the local apartment is $62 , then the best point estimate is $62 .
In the question ,
it is given that ,
the number of residents in the local apartment complex is = 71
the mean electric bill for the 71 residents = $62 ;
we know that the sample mean is itself called as the best point estimate ;
So , best point estimate for mean monthly electric bill for all residents of local apartment complex will be = mean monthly bill for 71 residents of local apartment complex which is given as $62 .
Therefore , the best point estimate is $62 .
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Copy and complete the table.
Answer:
See pic below.
Step-by-step explanation:
A rental car company charges a base fee of $38.28 plus $0.42 per mile driven. If x represents the number of miles driven, which of
the following equations could be used to find y, the total cost of the bill?
The equation 38.28 + 0.42x = C will be used to represent te cost or bill of the rental car driven.
What are equations?An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.
As in 3x + 5 = 15, for example.
There are many different types of equations, including linear, quadratic, cubic, and others.
The three primary forms of linear equations are point-slope, standard, and slope-intercept.
So, we know that:
An initial fee for the rental car: $38.28
Then, charge for every extra mile: $0.42 per mile
The number of miles driven is x.
Then C cost would be:
38.28 + 0.42x = C
Therefore, the equation 38.28 + 0.42x = C will be used to represent te cost or bill of the rental car driven.
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Correct question:
A rental car company charges a base fee of $38.28 plus $0.42 per mile driven. If x represents the number of miles driven, what equation could be used to find y, the total cost of the bill?
Ray MO bisects angle LMN and measure of angle LMO =2x+1 and measure of angle OMN =x+9 find x
Answer:92.
Step-by-step explanation:
Find the solution of the system of equations.
4x – 8y = -44
2x + 4y = -6
Answer:
x= -7/2
y= 5/4
Step-by-step explanation:
x-2y=-11
x+2y = -6
then isolate x and set equal to each other
-2y - 6 = 2y -11
4y = 5
y = 5/4
then solve for x using y.
x+5/2 = -6
x = -7/2
Disadvantage to using graphs and diagrams
Answer:
Graphs and diagrams are pictorial representation of equations.
The disadvantages of using graphs and diagrams are :
C. The information may be in a form that is difficult to use. (Sometimes the graphs and diagrams are so hard to understand. The information provided in the graphs are usually shown in points and its difficult to interpret that sometimes)
D. They must always be used with an equation.(This is true because when there is no equation, how will you derive a graph or how will you understand the diagram purpose)
Step-by-step explanation:
The major disadvantage of using charts and graphs is that these aids may oversimplify data, which can provide a misleading view of the data. Attempting to correct this can make charts overly complex, which can make their value in aiding a presentation less useful.
please mark brainliest!
- the information may be in a form that is difficult to use.
- They sometimes give you too much information
wake county has funding to upgrade 48 school cafeterias. school type number of schools elementary 104 middle 33 high 26 special/optional 4 assuming all else is equal, let's determine how many of each school type should receive the upgrade. first, identify the standard divisor. round your answer to four decimal places.
Rounding to four decimal places, the standard divisor is 3.4792.
The standard divisor can be calculated as follows:
Standard Divisor = Total number of schools / Total number of upgrades
Total number of schools = 104 + 33 + 26 + 4 = 167
Total number of upgrades = 48
Standard Divisor = 167 / 48 = 3.4792
Rounding to four decimal places, the standard divisor is 3.4792.
The standard divisor is a term used in resource allocation or distribution problems, where a set number of resources (e.g., funding, personnel, supplies, etc.) has to be divided among a number of recipient entities (e.g., schools, departments, regions, etc.).
The standard divisor is a number that represents the average allocation of resources per recipient entity, calculated as the total amount of resources divided by the number of recipient entities.
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find the perimeter of triangle ABC in which ab is equals to 10 .2 cm, BC is equals to 17.5 cm and AC is equals to 15.3 CM
Answer:
43 cmStep-by-step explanation:
Given,
Sides of triangle ABC = 10.2cm, 17.5cm and 15.3cm
As we know,
Perimeter of a triangle = a + b + c
[Where, a, b and c are the three sides of the triangle]Therefore,
Perimeter of triangle ABC
= 10.2 cm + 17.5 cm + 15.3 cm
[On adding]= 43
Hence,
The reqiured perimeter of triangle ABC is 43cm (Ans)
A billiard ball is struck by a cue. It travels 1 0 0 cm 100cm before ricocheting off a rail and traveling another 1 2 0 cm 120cm into a corner pocket. The angle between the path as the ball approaches the rail and the path after it strikes the rail is 4 5 ∘ 45 ∘. How far is the corner pocket from where the cue initially struck the ball? Do not round during your calculations. Round your final answer to the nearest centimeter
The distance from the initial point to the corner pocket is 164 cm.
The angle between the path as the ball approaches the rail and the path after it strikes the rail is 45 degrees.
We know that the ball traveled 100cm before ricocheting off the rail and another 120cm into the corner pocket.
We can use the Pythagorean Theorem to find the distance from where the cue initially struck the ball to the corner pocket.
Let x be the distance from the initial point to the corner pocket.
x^2 = 100^2 + 120^2 - 2100120*cos(45^{\circ})
x = \sqrt{28000} = \sqrt{700*40} = \sqrt{28000} = 164.856
Rounded to the nearest centimeter, the distance from the initial point to the corner pocket is 164 cm.
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A microbiologist is growing bacteria cultures in the lab. After 5 minutes, a bacteria colony has 1.3 million organisms. After 12 minutes, the same colony has 41.5 million organisms. After 15 minutes, the colony has grown to 101.3 million organisms. Is this a proportional or non-proportional relationship?
Answer: Non proportional
Step-by-step explanation:
To know if the values given are proportional or not, we will use the formula:
y = kx
where
y = number of organisms
x = number of minutes
k = constant of proportionality
After 5 minutes, a bacteria colony has 1.3 million organisms. Using the formula, y = kx
1,300,000 = 5k
k = 1,300,000 / 5
k = 260,000
After 12 minutes, the same colony has 41.5 million organisms. Using y= kx
41,500,000 = 12x
x = 41500000 / 12
x = 3458333.8
After 15 minutes, the colony has grown to 101.3 million organisms.
y = kx
101,300,000 = 15k
k = 101,300,000 / 15
k = 6753333.8
It is a non-proportional relationship as the constant of proportionality is different for each.
A ball is thrown downward from the top of a 140 -foot building with an initial velocity of 24 feet per second. The height of the ball h in feet after t seconds is given by the equation h=-16t^(2)-24t+140.
In a case whereby a ball is thrown downward from the top of a 140-foot building with an initial velocity of 16 feet per second. the time the ball is thrown will it strike the ground at t = 2.5 or -3.5.
How can the time be calculated?Height of building = 140 ft
Initial velocity, u = 16 ft/sec
the equation given is
h = -16t² -16t +140
h(t) = -16t² -16t +140
AT h(t) = 0 , We can divide by -2 and have
(8t² + 8t - 70) = 0
8t² + 8t - 70 = 0
Then if we solve with quadratic equation formula where a=8, b=8, c=- 70 then the root will be -7/2 and 5/2 then t = 2.5 or -3.5
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complete question;
A ball is thrown downward from the top of a 140-foot building with an initial velocity of 16 feet per second. the height of the ball h in feet after t seconds is given by the equation h equals negative 16 t squared minus 16 t plus 140. how long after the ball is thrown will it strike the ground?
Refer to the circle graph below. Suppose there are 300 students at York Middle School. Determine the number of students that have veggies as a snack.
The number of students that have veggies as a snack is equal to 51 students according to the circle graph.
What is a circle graph?A circle graph is also called a pie chart, and it can be defined as a type of graph that is used for the graphical representation of the proportional relationship between each part to a whole, especially by dividing a circle into various sectors or sections.
Given that, there are 300 students at a school, the number of students that have veggies as a snack can be calculated as follows;
Number of students that had veggies = 17/100 × 300
Number of students that had veggies = 0.17 × 300
Number of students that had veggies = 51 students.
Hence, the number of students that have veggies as a snack is equal to 51 students according to the circle graph.
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The complete question is :-
Refer to the circle graph below. Suppose there are 300 students at York Middle School. Determine the number of students that have veggies as a snack. No Snack 12% Fruit. 23% Chips · 18% Cheese 15% Veggies 17% L Cookies 15%
Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter your answer in terms of s.) r(t) = e^(2t) cos(2t) i + 4 j + e^(2t) sin(2t) k .... Please show complete answer
To reparametrize the curve with respect to arc length, we need to find the arc length function s(t) and then invert it to get t(s). Then we can substitute t(s) into the original curve to get a new parametrization in terms of arc length.
First, we need to find the arc length function s(t). The arc length of a curve r(t) from t=a to t=b is given by the formula:
s(b) - s(a) = ∫[a,b] ||r'(t)|| dt
where ||r'(t)|| is the magnitude of the derivative of r(t) with respect to t. In this case, we have:
r(t) = e^(2t) cos(2t) i + 4 j + e^(2t) sin(2t) k
r'(t) = 2e^(2t) cos(2t) i - 2e^(2t) sin(2t) j + 2e^(2t) cos(2t) k
||r'(t)|| = √( (2e^(2t) cos(2t))^2 + (-2e^(2t) sin(2t))^2 + (2e^(2t) cos(2t))^2 )
= 2e^(2t) √( cos^2(2t) + sin^2(2t) + cos^2(2t) )
= 2e^(2t) √( 2cos^2(2t) + 1 )
Now we can integrate ||r'(t)|| with respect to t:
s(t) = ∫[0,t] ||r'(u)|| du
= ∫[0,t] 2e^(2u) √( 2cos^2(2u) + 1 ) du
This integral does not have a closed-form solution, so we need to use numerical methods to compute it. We can use the trapezoidal rule with a small step size Δt to get an approximation:
s(t) ≈ ∑[k=1,n] ( Δt/2 ) [ ||r'(t_k)|| + ||r'(t_{k-1})|| ]
where t_k = kΔt and n = t/Δt.
Now we need to invert s(t) to get t(s). Since s(t) is an increasing function of t, its inverse t(s) exists and is also an increasing function. We can use the bisection method or Newton's method to find t(s) numerically.
Finally, we can substitute t(s) into the original curve r(t) to get the new parametrization in terms of arc length:
r(s) = e^(2t(s)) cos(2t(s)) i + 4 j + e^(2t(s)) sin(2t(s)) k
Note that this is an implicit formula for r(s), since t(s) is itself a function of s.
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Easton drove 224 miles in 8 hours. On average, how fast did he drive in miles per hour? Express your answer in simplest form.
Answer: 28 miles per hour
Step-by-step explanation:
224 miles / 8 hours=
224/8= 28 miles per hour
Assume that you can deposit 10000 at the end of each year over the next 3 years at \( 8 \% \). How will you get after 5 years?
By consistently depositing $10,000 each year for 5 years at an interest rate of 8%, you would accumulate around $48,786.15.
Over a period of 5 years, assuming an annual deposit of $10,000 at an interest rate of 8%, you would accumulate a significant amount through compound interest.
To calculate the total amount after 5 years, we can use the formula for the future value of an ordinary annuity:
\( FV = P \times \left( \frac{{(1 + r)^n - 1}}{r} \right) \)
Where:
FV = Future value
P = Annual deposit
r = Interest rate per period
n = Number of periods
In this case, the annual deposit is $10,000, the interest rate is 8% (or 0.08 as a decimal), and the number of periods is 5 years. Plugging these values into the formula:
\( FV = 10000 \times \left( \frac{{(1 + 0.08)^5 - 1}}{0.08} \right) \)
After evaluating the expression, the future value (FV) after 5 years would be approximately $48,786.15.
Therefore, by consistently depositing $10,000 each year for 5 years at an interest rate of 8%, you would accumulate around $48,786.15. This demonstrates the power of compounding interest over time, where regular contributions can lead to significant growth in savings.
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Module 5 assignment
Please, I need help on this
45 points
Answer:
UMM ⇵Δ\(\lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \neq\)
Step-by-step explanation:
how to find magnitude of a vector with 3 components
In order to find the magnitude of a vector with three components, use the formula:
|V| = sqrt(Vx^2 + Vy^2 + Vz^2)
where Vx, Vy, and Vz are the components of the vector along the x, y, and z axes respectively.
To find the magnitude, you need to square each component, sum the squared values, and take the square root of the result. This gives you the length of the vector in three-dimensional space.
Let's consider an example to illustrate the calculation.
Suppose we have a vector V = (3, -2, 4). We can find the magnitude as follows:
|V| = sqrt(3^2 + (-2)^2 + 4^2)
= sqrt(9 + 4 + 16)
= sqrt(29)
≈ 5.385
Therefore, the magnitude of the vector V is approximately 5.385.
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How can you write an equation of a line when you are given the slope and the y-intercept of the line? Explain
Answer:
The linear equation that represents each function is y=mx+b. While The m represent the slop so instead of writing you write the slope provided. Then multiply by the X + b which is your Y-intercept.
Here is an example,
The slope is 2/3 and the y intercept is 6, write a linear equation for this sequence.
y= (2/3). X +6
HOPE THIS HELPS!
Isabelle earns $200 a week at a bookstore plus $2 for every magazine she sells. She uses the equation to represent her earnings, where x represents magazine sales and y represents her weekly pay. If she needs to earn $280 next week to pay for her school trip, how many magazines does she need to sell?
Answer:
40 magazines.
Step-by-step explanation:
$200 pay from the bookstore.$2 every magazine sold.Needs $280 for her school trip.She gets $200 from the book store the week she needs $280 for the school trip. Therefore, she only needs $80 in order to go.
$80 ÷ $2 = 40
40 magazines.
Answer:
40 is the answer..... your welcome
Step-by-step explanation:
4 ^ x - 4 ^ 0 - 255 = 0
Answer:
x = 4
Step-by-step explanation:
Given the equation:
\(\displaystyle{4^x - 4^0 - 255=0}\)
We know that \(\displaystyle{a^0 = 1}\) where a ≠ 0. Therefore,
\(\displaystyle{4^x - 1 - 255=0}\\\\\displaystyle{4^x - 256=0}\)
Add both sides by 256, so we have:
\(\displaystyle{4^x=256}\)
Factor 256 out:
256 = 2 x 128 = 2 x 2 x 2⁶ = 2⁸
Therefore, 256 = 2⁸.
\(\displaystyle{4^x=2^8}\)
Convert to the same base:
\(\displaystyle{\left(2^2\right)^x=2^8}\\\\\displaystyle{2^{2x} = 2^8}\)
When two sides have same base, solve the equation through exponents:
\(\displaystyle{2x=8}\)
Divide both sides by 2, so we have:
\(\displaystyle{x=4}\)
y= -3x + 1
y + 5 = -3(x + 2)
are thes perpendicular or paralell
Answer:
Parallel
Step-by-step explanation:
Use the quadratic formula to find the solutions to the
quadratic equation below.
2x2 - 5x + 5 = 0
Answer: The answer is D.
The solution for the expression will be \(X = \dfrac{5\pm\sqrt{15}i}{4}\). The correct option is D.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that the quadratic equation is 2x² - 5x + 5 = 0. The equation can be solved as below,
\(X = \dfrac{-b\pm\sqrt{b^2-4ac}}{4a}\)
Substitute the values in the equation above,
\(X = \dfrac{-b\pm\sqrt{b^2-4ac}}{4a}\)
\(X = \dfrac{-(-5)\pm\sqrt{(-5)^2-4\times2 \times4}}{4\times4}\)
\(X = \dfrac{5\pm\sqrt{15}i}{4}\)
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10) Determine whether the events of rolling a fair die two times are disjoint, independent, both, or neither. A) Disjoint. B) Exclusive. C) Independent. D) All of these. E) None of these.
The answer is option (C), that is, the events of rolling a fair die two times are independent. The events are neither disjoint nor exclusive.
When rolling a fair die two times, one can get any one of the 36 possible outcomes equally likely. Let A be the event of obtaining an even number on the first roll and let B be the event of getting a number greater than 3 on the second roll. Let’s see how the outcomes of A and B are related:
There are three even numbers on the die, i.e. A={2, 4, 6}. There are four numbers greater than 3 on the die, i.e. B={4, 5, 6}. So the intersection of A and B is the set {4, 6}, which is not empty. Thus, the events A and B are not disjoint. So option (A) is incorrect.
There is only one outcome that belongs to both A and B, i.e. the outcome of 6. Since there are 36 equally likely outcomes, the probability of the outcome 6 is 1/36. Now, if we know that the outcome of the first roll is an even number, does it affect the probability of getting a number greater than 3 on the second roll? Clearly not, since A∩B = {4, 6} and P(B|A) = P(A∩B)/P(A) = (2/36)/(18/36) = 1/9 = P(B). So the events A and B are independent. Thus, option (C) is correct. Neither option (A) nor option (C) can be correct, so we can eliminate options (D) and (E).
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Which graph represents the solution to this system of inequalities?
y<-x-3
y> 2x-4
(Please set graph in 10x10 scale)!!(:
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The solution region is above the line with positive slope, and below the line with negative slope. It will be in the left quadrant of the X made by the crossing lines. The line with positive slope is steeper.
I am a number between 17 and 25 . iam not a multiple of 3. 6 is not a factor of mine
Answer:
21 its divisble by 6/21
A party man is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg How much of each should be added to obtain 60 kg of a mix.that will sell for $1.90 per kg?
Given:
Nuts = $2.50
Cereal mixture = $1
Find -: How much each should be added.
Sol:
Obtain = 60 kg.
Let nuts = x kg
Cereal = y kg
To obtain 60 kg means:
\(\begin{gathered} x+y=60 \\ \\ y=60-x \end{gathered}\)Pricing at $1.90 per kg means:
\(\begin{gathered} x(2.50)+y(1)=60(1.90) \\ \\ 2.5x+y=114 \end{gathered}\)Put the value of "y" then:
\(\begin{gathered} 2.5x+60-x=114 \\ \\ 1.5x=114-60 \\ \\ 1.5x=54 \\ \\ x=\frac{54}{1.5} \\ \\ x=36 \end{gathered}\)Then the value of "y" is:
\(\begin{gathered} y=60-x \\ \\ y=60-36 \\ \\ y=24 \end{gathered}\)So,
In the mixture 36 kg of nuts and 24 kg of cereal.
what is 3 and 1/6 as an improper fraction
Answer:
Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer