Convert 60 inches to feet. There are 12 inches in a foot
Answer:
60/12= 5
5 feet
Answer:
5 feet
Step-by-step explanation:
Divide the length value (inches) by 12.
3.5+2=2x-10help me HELP ME JIGGABOOS
School lunches cost $14.55 per week. About how much would 4.5 weeks of lunches
cost?
Answer:
$65.475 ($65.48 rounded)
Step-by-step explanation:
The word "per" is usually a trigger-word for multiplication. So, we multiply.
\(14.55 * 4.5\)
A dosage requires a patient to receive 66.8mg of medicine for every 8 kg of body weight for every 4 hours. How many grams of medication does a patient, who weights 48 kg, need in 12 hours? round to the hundreths place g
A patient who weighs 48 kg needs 400.80 grams of medication in 12 hours.
To calculate the amount of medication needed by a patient who weighs 48 kg in 12 hours, we need to determine the dosage based on the patient's weight and the frequency of administration.
Dosage per 8 kg of body weight = 66.8 mg
Dosage per 4 hours = 66.8 mg
First, let's determine the number of 4-hour intervals in 12 hours:
12 hours / 4 hours = 3 intervals
Now, we can calculate the total dosage required for the patient:
Dosage per 8 kg of body weight = 66.8 mg
Patient's weight = 48 kg
Dosage for the patient's weight = (66.8 mg / 8 kg) * 48 kg
= 534.4 mg
To convert milligrams (mg) to grams (g), we divide by 1000:
Dosage in grams = 534.4 mg / 1000
= 0.5344 g
Since the patient requires this dosage for three 4-hour intervals in 12 hours, we multiply the dosage by 3:
Total dosage in grams = 0.5344 g * 3
= 1.6032 g
Rounding to the hundredths place, the patient needs 1.60 grams of medication in 12 hours.
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Pls help me I am on a timer..
how do i change a mixed number to a improper fraction and simplify
Answer:
To change a mixed number to an improper fraction quickly we can multiply the whole number by the denominator, add the numerator and then write that over the original denominator.
Cosella is conducting an experiment where she assesses how quickly teenagers can run a 100-meter race after consuming specific amounts of caffeine. She divides her sample up into three groups. Group 1 receives a glass of water with no caffeine added. Group 2 receives a glass of water with an amount of caffeine equivalent to that in one cup of coffee. Group 3 receives a glass of water with an amount of caffeine equivalent to that in two cups of coffee. Each participant is then timed as they run the course. In this study, the dependent variable is
Answer:
The dependent variable is the time taken to run 100 metres
Step-by-step explanation:
A dependent variable is simply one that is being measured or sometimes tested in an experiment.
Now, in this case, what is being determined is the time each group of participants will take to run a 100-meter race.
Thus, the dependent variable is the time each group of participants will take to run a 100-meter race.
pennsylvania sales tax is charged at the rate of 6%. Find the tax and the total price you would pay for an $860 TV
The sales tax will be $51.6, bringing the total cost of $860 TV to $911.6.
What do we mean by sales tax?A sales tax is a tax levied on the sale of certain goods and services and paid to a governing body. Generally, laws allow the seller to collect tax funds from the consumer at the point of purchase.A use tax is a tax on goods or services that is paid directly to a governing body by a consumer. Food, education, and medicines, for example, are frequently exempt from sales and use tax under state law. A value-added tax (VAT) on goods and services is similar to a sales tax. Key differences can be found in the comparison with sales tax.So, to find the sales tax we need to find out the 6% of $860.
= 860/100 × 6= 8.60 × 6= 51.6So, the total price will be 860 + 51.6 = $911.6Therefore, the sales tax will be $51.6 and the total price we would pay for an $860 TV will be $911.6.
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A juice box is four
inches tall, two inches
wide, and one inch
deep. What is the
volume of the juice
box?
4in
Zin
lin
side*otherside*height
4*2*1=
8 inches^3
Solve for x. Round your answer to the nearest tenth. Will brainlist first correct
Answer:
x ≈ 35.1°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = \(\frac{adjacent}{hypotenuse}\) = \(\frac{27}{33}\) , then
x = \(cos^{-1}\) ( \(\frac{27}{33}\) ) ≈ 35.1° ( to the nearest tenth )
Answer:
Step-by-step explanation: you can use : soh cah toa because this is a right triangle
cos 0 = a/ h
cos 0= 27/33
x= cos -1^( 27/33 ) cos inverse
x = 35.096
Kristina walks from her house, around the park, to the store. She is interested in taking a shortcut through the park to save time. Approximately how far away from her house is the store, if she were to follow the path shown by the dotted line in the graphic below?* HOUSE PARK 80 m 100 m STOR O 134 m O 128 m O 180 m 200 m nal. If a 65 inch television has 1 point
If she follows the path shown by the dotted line in the graph, the distance from her house to the store would be = 128m. That is option B.
How to calculate the distance between her house and the store?To calculate the distance between her house and the store the Pythagorean formula should be used which is given as follows;
C² = a² + b²
where;
a= 80
b= 100
c= ?
That is;
c²= 80²+100²
= 6400+10000
= 16,400
c = √16400
= 128.1m
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Betty wants to build a garden high enough so the rabbits don't eat her carrots. She has an estimated 150 cubic feet of dirt. If the dirt was spread evenly over a boxed-in-area with
dimensions 12 feet by 4 feet, about how high would the garden be?
find the work done by the force field f(x, y) = 2x sin πy i 4 cos πy j to move a particle along the parabola y = x 2 from (0, 0) to 1 2 , 1 4 .
The work done by the force field f(x, y) = 2x sin πy i + 4 cos πy j to move a particle along the parabola y = x² from (0, 0) to (1/2, 1/4) is -1/4.
The work done by a force field can be calculated by taking the line integral of the force field along the given path. In this case, the path is the parabola y = x² from (0, 0) to (1/2, 1/4).
To calculate the line integral, we need to parameterize the path. Let's use x as the parameter. Then, y = x² and dx = 1.
The line integral can be written as:
W = ∫C F · dr
where C is the curve, F is the force field, and dr is the differential element of the path. Since we have parameterized the path using x, dr = dx i + 2x dx j.
Substituting F and dr, we get:
W = ∫C (2x sin πy i + 4 cos πy j) · (dx i + 2x dx j)
= ∫0^(1/2) (2x sin πx² + 8x² cos πx²) dx
This integral cannot be evaluated in terms of elementary functions, so we need to use a substitution. Let's use u = πx². Then, du/dx = 2πx and dx = du/(2πx).
Substituting u and dx, we get:
W = ∫0^(π/4) (sin u + 4 cos u) du/(2π)
= [-cos u + 4 sin u]/(8π) |_0^(π/4)
= (-1/4) - (0)
= -1/4
Therefore, the work done by the force field to move the particle along the parabola from (0, 0) to (1/2, 1/4) is -1/4.
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8.4\times 10^{-3}+4.7\times 10^{-2} 8.4×10 −3 +4.7×10 −2
The value of the expression (8.4 × 10^-3) × (7 × 10^-2) is 5.88 × 10^-4.
How to calculate the value of the expression?The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number.
The expression is given as:
(8.4 × 10^-3) × (7 × 10^-2)
= 0.0084 × 0.07
= 0.000588
= 5.88 × 10^-4
The value of the expression is 5.88 × 10^-4.
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Mohammed delivered ⅜ of the newspapers on his route in the first hour and ⅘ of the rest in the second hour. What fraction of all the newspapers did Mohammed deliver in the second hour?
Answer:
He delivered \(\sf {\frac{1}{2}\) of the newspapers in the second hour.
Explanation:
\(\sf total \ newspapers: \ 1\)
newspapers left to deliver after first hour:
\(\sf 1 - \frac{3}{8}\)
\(\sf \frac{8}{8} - \frac{3}{8}\)
\(\sf \frac{8-3}{8}\)
\(\sf \frac{5}{8}\)
in second hour:
\(\sf \frac{5}{8} * \frac{4}{5}\)
\(\sf \frac{1}{2} * \frac{1}{1}\)
\(\sf \frac{1}{2}\)
student simplifies (6b + 4r) – (2b + r) and says that the result is 4b + 5r. Explain the error and describe the correct steps to simplify the expression.
Answer & explanation:
The student made an error by adding an r after removing the parentheses instead of subtracting an r.
Correct Steps:
(6b + 4r) – (2b + r)
6b + 4r - 2b - r
4b + 3r
Answer:
yo
Step-by-step explanation:
this was the sample response on edge
The student did not distribute the negative when subtracting. Distributing the negative, the expression is equal to 6b + 4r – 2b – r. Then use the commutative property to rewrite it as 6b – 2b + 4r – r. Then you can use the distributive property to write as (6 – 2)b + (4 – 1)r, which simplifies to 4b + 3r.
What is 7.501 in
Expanded Form and word form
Answer:
seven and five hundred one hundredths.
Step-by-step explanation:
Plzz mark brainiest im in war against person below me plzzz help me. I need to win.
3x + 2 – x = 9x – 7x + 5 – 3
Answer:0=0
Step-by-step explanation:
You find that statistical uncertainty is your largest measurement uncertainty and that the iv value is your largest propagated uncertainty. How can you try to improve both uncertainties in the simplest, but most effective way?.
The accuracy and reliability of measurements can be enhanced, leading to a reduction in uncertainties.
To improve both statistical uncertainty and the "iv" value, which represents the largest propagated uncertainty, there are some simple yet effective measures that can be taken:
Increase Sample Size: For statistical uncertainty, collecting a larger sample size can help reduce random errors and improve the precision of measurements. By increasing the number of data points, the statistical uncertainty, represented by quantities such as standard deviation or standard error, can be reduced. This allows for more reliable and accurate statistical analysis.
Refine Measurement Techniques: Evaluating and refining the measurement techniques can contribute to reducing both statistical and propagated uncertainties. Ensuring proper calibration and using more precise instruments can enhance measurement accuracy and minimize systematic errors. This step involves reviewing measurement procedures, identifying potential sources of error, and implementing improvements to minimize uncertainty.
Implement Quality Control Procedures: Introducing robust quality control procedures can help identify and address measurement uncertainties. Regularly monitoring and verifying the measurement process, including equipment calibration, can ensure consistency and accuracy. Implementing quality control measures provides confidence in the reliability and accuracy of the measurements, thus reducing uncertainties.
Repeat Measurements: Taking multiple measurements and calculating the average can help mitigate the effects of random errors and reduce statistical uncertainty. Repeating measurements under similar conditions and averaging the results can provide a more accurate representation of the true value and reduce the impact of individual measurement errors.
Analyze and Optimize Experimental Design: Analyzing the experimental design and optimizing it can contribute to reducing uncertainties. By carefully planning the experiment, considering factors such as controls, replication, and randomization, potential sources of uncertainty can be minimized. Optimizing the experimental design ensures that the measurements are conducted in the most efficient and accurate manner.
By implementing these steps, it is possible to improve both statistical uncertainty and the largest propagated uncertainty (iv value). These measures focus on refining measurement techniques, increasing sample size, implementing quality control, repeating measurements, and optimizing experimental design. By doing so, the overall accuracy and reliability of measurements can be enhanced, leading to a reduction in uncertainties.
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NEED HELP ASAP
PLEASE GRAPH AND EXPLANATION!
A graph of the piecewise function is shown on the coordinate plane in the image attached below.
What is a piecewise-defined function?In Mathematics, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.
Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce that it is constant over the interval -6 ≤ x < 0 or [-6, 0].
In conclusion, the piecewise-defined function is increasing over the interval 0 ≤ x ≤ 2 or [0, 2].
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Would the point (2,7) be on the line y = 2x +7
No
Step-by-step explanation:A point is on a line if that point satisfies the equation.
Testing Points
To test if the point (2,7) is on the line y = 2x + 7, we need to plug the point into the equation. For the coordinate pair (2,7), the x-value is 2 and the y-value is 7. So, plug 2 in for x and 7 in for y.
7 = 2(2) + 7Then, simplify.
7 = 11As you can see, 7 does not equal 11. Thus, point (2,7) cannot be a point on the given line.
Other Points
We can do this same test with other points such as (1,9). The x-value is 1 and the y-value is 9, so now we can plug them in.
9 = 2(1) + 79 = 9Since 9 equals 9 is a true statement, the point (1,9) is a point on the given line.
Explain how you would us an rng to choose an srs of 141 plots. your description should be clear enough that a computer could carry out your plan.
To use an RNG (Random Number Generator) to choose an SRS (Simple Random Sample) of 141 plots, you can follow these steps:
1. First, determine the total number of plots in the population. Let's say there are 1000 plots in total.
2. Assign a unique number to each plot in the population. For example, you can label them as Plot 1, Plot 2, Plot 3, and so on up to Plot 1000.
3. Now, generate random numbers using the RNG. The range of random numbers should be between 1 and the total number of plots in the population (in this case, 1000). The RNG will ensure that the numbers are generated in a random and unbiased manner.
4. Repeat the random number generation process until you have 141 unique random numbers. This will ensure that you select a sample of 141 plots without any duplicates.
5. Once you have the 141 random numbers, identify the corresponding plots in the population using the assigned labels. These plots will constitute your simple random sample.
By following these steps, a computer can effectively carry out the plan of using an RNG to choose an SRS of 141 plots. Remember, using an RNG ensures that the selection process is random and unbiased, which is essential for obtaining a representative sample.
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What are the 3 most common gases in the troposphere?
Nitrogen, oxygen, and water vapor are the three most common gases in the troposphere
What are the 3 most common gases in the troposphere?The troposphere is the lowest layer of Earth's atmosphere, and it extends from the surface of the Earth up to about 8-15 kilometers (5-9 miles) above the Earth's surface, depending on the latitude.
The three most common gases in the troposphere are nitrogen, oxygen, and water vapor.
Nitrogen makes up about 78% of the Earth's atmosphere, while oxygen makes up about 21% and water vapor makes up about 0-4%, depending on the location and climate.
These gases are essential for life on Earth, as they support the processes of respiration and photosynthesis.
The concentration of these gases can vary depending on the location and the time of year.
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Mindy's credit card has an APR of 15%, calculated on the previous monthly
balance, and Mindy makes a payment of $50 every month. Her credit card
record for the last 7 months is shown in the table below.
End of
month
234567
3
Previous
balance
$0.00
$45.00
$188.56
$230.92
$260.81
$252.07
$432.22
New
charges
$45.00
$193.00
$90.00
$77.00
$38.00
$227.00
$88.00
Payment
received
$0.00
$50.00
$50.00
$50.00
$50.00
$50.00
$50.00
Finance
charges
$0.00
?
$2.36
$2.89
$3.26
$3.15
$5.40
What were the finance charges in month 2?
Principal
paid
$0.00
$49.44
$47.64
$47.11
$46.74
$46.85
$44.60
New
balance
$45.00
$188.56
$230.92
$260 81
$252.07
$432.22
$475.62
The finance charges in month 2 were $28.20.
We have,
Previous balance in month 2: $45.00
New charges in month 2: $193.00
Payment received in month 2: $50.00
So, Finance charges = (Previous balance + New charges - Payment received) x APR
Finance charges in month 2 = ($45.00 + $193.00 - $50.00) x 0.15
Finance charges in month 2 = $188.00 x 0.15
Finance charges in month 2 = $28.20
Therefore, the finance charges in month 2 were $28.20.
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A line passing through which of the following pairs of coordinates represents a proportional relationship? A. (1, 3) and (2, 6) B. (1, 1) and (1, 3) C. (1, 2) and (2, 3) D. (1, 3) and (3, 6)
Answer:
Answer is A - (1, 3) and (2, 6)
Step-by-step explanation:
(1, 3) • 2
= (1 • 2, 3 • 2)
= (2, 6)
Ratio: 2/2, 6/2
Therefore, the answer is A.
Answer:
a
Step-by-step explanation:
If 10g of a radioactive substance are present initially and 9 yr later only 5.0g remain, how much of the substance, to the nearest tenth of a gram, will be present after 14 yr? After 14 yr, there will be ___g of the radioactive substance. (Do not round until the final answer. Then round to the nearest tenth as needed.)
after 14 years, there will be approximately 1.97g of the radioactive substance remaining.
To solve this problem, we can use the concept of exponential decay for radioactive substances. The decay of a radioactive substance can be modeled by the equation:
N(t) = N₀ * e^(-kt),
where N(t) is the amount of substance at time t, N₀ is the initial amount of substance, e is the base of the natural logarithm, k is the decay constant, and t is the time elapsed.
In this case, we are given that the initial amount N₀ is 10g and the amount after 9 years N(9) is 5g. We can use this information to find the value of k.
5 = 10 * e^(-9k).
Divide both sides of the equation by 10:
0.5 = e^(-9k).
Take the natural logarithm of both sides:
ln(0.5) = -9k.
Solve for k:
k = ln(0.5) / -9.
Now that we have the value of k, we can use it to find the amount of substance after 14 years, N(14):
N(14) = N₀ * e^(-kt).
N(14) = 10 * e^(-ln(0.5) / -9 * 14).
N(14) = 10 * e^(14 * ln(0.5) / 9).
N(14) ≈ 10 * 0.197 = 1.97.
Therefore, after 14 years, there will be approximately 1.97g of the radioactive substance remaining.
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What is the average of 89, 91, and 84?
Answer:
88
Step-by-step explanation:
Use the following formula
Average=Sum/Count
89+91+84=264
264/3
88
Can anyone help me with this please and thank you
Answer:
x=0, 7
Step-by-step explanation:
x^2-3x=4x
x^2-7x=0
x(x-7)=0
x=0 or 7
Answer:
x=0 x=7
Step-by-step explanation:
x^2 -3x = 4x
Subtract 4x from each side
x^2 -3x-4x=0
x^2 -7x = 0
Factor out an x
x(x-7) =0
Using the zero product property
x=0 x-7 =0
x=0 x=7
Given f(t) = 3 r3 - 3r + 1, what is the value of f(2)
Answer: f(2)=19
Step-by-step explanation:
F(2) = 3(2)3 -3(2) + 1
F(2) = 24 - 6 + 1
F(2) = 19
Help me plz!!!!!!!!!!!
Answer:
40 in^3
Step-by-step explanation:
5 x 4 x 2 = 20 x 2 = 40