Answer:
A balanced
Step-by-step explanation:
A reaction in which the number of each type of atom on one side of the equation is equal to the number of the same kind of atoms on the other side of the equation is called a balanced chemical equation.
It is a chemical equation that has the same number of atoms of each element on both sides of the equation. This is important because the law of conservation of mass states that matter can't be created or destroyed, so the number of atoms on one side of the equation must be equal to the number of atoms on the other side of the equation.
It is also important for calculating the stoichiometry of a reaction, determining the amount of reactants and products needed for a reaction, and to make sure that the chemical equation is in accordance with the laws of thermodynamics.
Find the weight in pounds of a 140-kilogram person. Round to the nearest hundredth.
Answer:
308.65 lb
Step-by-step explanation:
1 lb = 0.45359 kg
140 kg * (1 lb)/(0.45359 kg) = 308.65 lb
1 kilogram ≈ 2.205 pounds
Multiply.
140 * 2.205 = 308.70 pounds
Best of Luck!
What is the value of 3 1/4 increased by 2 1/6?
Answer:
2 11/12
Step-by-step explanation:
Justin runs each lap in 8 minutes. He will run at most 10 laps today. What are the possible numbers of minutes he will run today?
Parallelogram ABCD is shown on the coordinate grid. Which
coordinates belong to a point that appears to lie on segment AB?
Answer:
\((-1, 3)\)
Step-by-step explanation:
Given
See attachment for ABCD
Options:
\((-1, 3)\ \ \ (0,3)\ \ \ (1,5)\ \ \ (2,5)\)
From the attachment:
\(A = (-6,1)\)
\(B = (4,5)\)
Required
Coordinates on AB
First, calculate the slope of AB
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
\(m = \frac{5-1}{4--6}\)
\(m = \frac{4}{10}\)
\(m = 0.4\)
Next,, calculate the equation as:
\(y = m(x - x_1) + y_1\)
\(y = 0.4(x - -6) + 1\)
\(y = 0.4(x +6) + 1\)
\(y = 0.4x +2.4 + 1\)
\(y = 0.4x +3.4\)
Taking the options one at a time: (-1, 3)
\(x = -1\ \ y =3\)
Test these values in the equation
\(y = 0.4 * -1 + 3.4\)
\(y = -0.4 + 3.4\)
\(y =3\)
Hence, this point lie on AB
Find the missing side.
Answer:
18.7
Step-by-step explanation:
The tree diagram relates snowfall and school closings. Find the following probability. Let H, L, O, and C represent heavy snowfall, light snowfall, school open, and schools closed, respectively. P(L and C) = _______.
The Solution:
Given the probability tree below:
We are required to find the probability of L and C.
So,
\(P(L\text{ and C)=P(L)}\times P(C)=0.6\times0.6=0.36\)Therefore, the correct answer is 0.36
. Add 91, 129, and 16, and then divide by 44
Answer: 5.36363636364
Step-by-step explanation:
91+ 129+ 16=236
236 ÷44= 5.36363636364
Answer: 59
Step-by-step explanation:
(91 + 129 + 16)/44
= 236/44
= 5.3636
An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide.
1. What scale factor is being used to make the image?
A scale factor of
2. How tall is the actual book?
inches
Answer: 6, 18
Step-by-step explanation:
a. actual width/scaled width = 9/1.5 = 6
b. scaled width*scale factor = 3*6 = 18
Graphing Calculator
4) A plane flies at 700 mph on a course heading 10° East of North. The wind is blowing
in a direction of 72° West of North at a speed of 150 mph. Find the resultant ground
speed (magnitude) and direction of the plane after accounting for the wind. (Provide
the resultant direction as both a polar angle and an angle heading East or West of
North.)
Answer:
Therefore, the resultant ground speed of the plane after accounting for the wind is approximately 825.8 mph, and the resultant direction is 53.8° East of North.
Step-by-step explanation:
Based results, it appears that the question is asking for the resultant ground speed (magnitude) and direction of a plane flying at 700 mph on a course heading 10° East of North, while experiencing a wind blowing in a direction of 72° West of North at a speed of 150 mph. Here is how to solve this problem:
Convert the course heading and wind direction angles to Cartesian coordinates using the standard unit vector notation i and j. The course heading is (cos(10°)i + sin(10°)j) and the wind is (-cos(72°)i + sin(72°)j).
Add these vectors together to get the resultant vector. The sum is (-478.3i + 684.2j).
Find the magnitude of the resultant vector using the Pythagorean theorem. The magnitude is approximately 825.8 mph.
Find the angle that the resultant vector makes with respect to the North using the inverse tangent function. The angle is approximately 53.8° East of North.
Therefore, the resultant ground speed of the plane after accounting for the wind is approximately 825.8 mph, and the resultant direction is 53.8° East of North.
( Sorry if the answer is wrong ).
513.4497 rounded to the hundredths place
Answer:
513.45
Step-by-step explanation:
use intelligence
The amount of a same le remaining after T days is giving by the equation p(f)=a(1/2) T/h
Answer:
6
Step-by-step explanation:
●
Jamie went out to her grandfather's farm.
Her grandfather has pigs and chickens on his farm.
She noticed that there were a total of 26 heads and
68 feet among them. How many chickens and how
many pigs did her grandfather have?
Answer:
8 pigs
Step-by-step explanation:
Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.
Suppose all animals are chickens.
Total no. of feet = 26 chickens × 2 feet
= 52 feet
Difference in total no. of feet = 68 feet - 52 feet
= 16 feet
Difference in no. of feet each animal has
= 4 feet (a pig) - 2 feet (a chicken)
= 2 feet
∴ No. of pigs = 16 feet ÷ 2 feet
= 8 pigs
Use log, 20.356, log, 3 0.503, and log, 5 0.835 to approximate the value of the given logarithm to 3 decimal places. Assume that b>0 and b + 1.
log, 625
X
A
Answer:
3.34
Step-by-step explanation:
625 is 5^4
Using the log rule \(log_b(x^a)=alog_b(x)\),
log_b(5^4) = 4*log_b(5)
4*0.835 = 3.34
5.
What is the width of a rectangle if the area is 2x²-x-6 and the length is 2x + 3?
O-x-1--
x-2
3
2x+3
O-x+ 2
MacBook Air
2x²-1
2
Onone of the answer choices
Answer: x-2
Use A=Lw
A/L=w
if you factor and cancel, you are left wirh x-2.
choose 2 numbers with the sum of -72
Answer:
-70 -2
Step-by-step explanation:
Answer:
-9 * 8=-72
Step-by-step explanation:
Given P(A) = 0.4, P(B) = 0.58 and P(A|B) = 0.5, find the value of
P(A and B), rounding to the nearest thousandth, if necessary.
By definition of conditional probability,
P(A | B) = P(A and B) / P(B)
so
P(A and B) = P(A | B) P(B) = 0.5 × 0.58 = 0.29
Ned took a test with 25 questions. He lost 4 points for each of the 6 questions he got wrong and earned an additional 10 points for answering a bonus question correctly. How many points did Ned receive or lose overall?
Answer: Ned received 86 Points overall on the test and Ned lost 24 points overall on his test.
Step-by-step explanation: Ned got 19 questions correct and 6 questions incorrect. He as well got 10 bonus points for answering a bonus question correctly. We know each of the questions on the test (excluding the bonus question) is worth 4 points.
If Ned got 19 questions correct that means 19 x 4 = he received 76 points.
If Ned got 6 questions incorrect that means 6 x 4 = he lost 24 points.
If Ned got 1 question correct that is worth 10 points, that means he got an additional 10 points to his score.
We can add the amount of points Ned scored to the amount of bonus points he earned; 76 + 10 = 86 points total on his test.
Answer:
Ned received 86 Points on the test and Ned lost 24 points on his test.
4) Landon is 6 feet and 1 inch tall.
What is Landon's height in inches?
*1 foot = 12 inches
Answer:
73 inches tall
Step-by-step explanation:
Given that a foot is equal to 12 inches, we can convert the feet into inches,
Landon is 6 feet tall, so we can multiply that by 12 to convert.
\(12*6=72\)
Now we can add the remaining inch from the original problem, since it also stated that he was an extra inch above 6 feet tall.
\(72+1=73\)
Therefore, Landon stands at a height of 73 inches.
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See photo how to use distributive property of multiplication to simplify the expression.
The simplest form of the expression by the use of the distributive property is;
\(12x^2 + 24x + 9\)
What is the distributive property?In mathematics, the distributive property, which explains how multiplication interacts with addition or subtraction, is a fundamental concept. By allocating or multiplying a number or term to each term enclosed by a set of parenthesis, it enables you to simplify expressions.
The distributive property is frequently employed in algebraic expressions, equation simplification, and polynomial operations. By spreading out the multiplication over addition or subtraction, it aids in simplifying complex statements and makes calculations easier to understand.
We know that;
\(3(4x^2 + 8x + 3)\\12x^2 + 24x + 9\)
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Calvin estimated he would need 8 hours to
complete his science project. It actually took
him 12 1/2 hours to get everything done. What
was his percent error?
Answer:45%
Step-by-step explanation:
Someone is 18 1/2 inches long when they are born and their twin is 20 3/4 inches long. What is the difference between how big they are.
(p^2n^1/2)^0
√ p^5n^4 equivalent to p^18n^6 √p?
The two expressions are not equivalent.
To simplify the expression (p^2n^1/2)^0 √ p^5n^4, we first need to understand the properties of exponents and radicals.
Recall that any number raised to the power of zero is equal to 1, so (p^2n^1/2)^0 = 1.
Next, we can simplify the radical term by multiplying the exponents inside and outside the radical:
√ p^5n^4 =
(p^5n^4)^(1/2)
= p^(5/2)n^(4/2)
= p^(5/2)n^2
Combining this result with the previous step, we have:
(p^2n^1/2)^0 √ p^5n^4
= 1 * p^(5/2)n^2
= p^(5/2)n^2
This is not equivalent to p^18n^6 √p. In fact, p^(5/2)n^2 cannot be simplified any further without additional information about the expression. ,
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Does anyone know how to solve this with steps?
Find the savings plan balance after 19 months with an APR of 11% and monthly payments of $250.
To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.
The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.
The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.
$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:
$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow
A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow
A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$
Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).
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There are four $20 bills, six $10 bills, eight $5 bills, and two $1 bills in your wallet. You select one bill at random. What is the expected value for this experiment? Must be answered in terms of statistics and probability please. Thank you
Answer:
total no. of possibilities =20
Step-by-step explanation:
probability of $20 bill=4/20=1/5
probability of $10 bill=6/20=3/10
probability of $5 bill=8/20=2/5
Translate the sentence into an inequality.Twice the difference of a number and 8 is less than – 23.Use the variable b for the unknown number.
2(b - 8) < -23
Explanation:To translate the sentence, we ill need to break it down into bits
difference of a number and 8
let the number = b
Difference means subtraction. We will subtract 8 from the number
difference of a number and 8 = b - 8
Twice the difference: we will multiply the difference by 2
Twice the difference of a number and 8 = 2(b - 8)
Twice the difference of a number and 8 is less than – 23
less than – 23 is written as < -23
Twice the difference of a number and 8 is less than – 23:
2(b - 8) < -23
Kelsey must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends. Kelsey has already made 10 pendants. Part A Given that Kelsey has already made 10 pendants, how many additional pendants must she make and sell to make a profit?
To make a profit Kelsey must make and sell more than 49 additional pendants
in this given sum we need to find how many additional pendents kelsey need to make and sell to make profit . The information that are give in the sum
she has to pay $200 for the rent
materials for each pendant is $ 7.8 .
for 10 pendants the total will be 10*7.8 = $78
Therefore she will spend a total of $(78 +200) = $278
So to make a profit the amount of pendants kelsey make multiply it by 13.50 should be greater than the totall amount she spend in making 10 pendants $278 added to the number of pendants she makes multiply by 7.8 that is the total cost
let the no. of pendants she need to make be x
we can write then above explanation as
13.50x >278 + 7.8x
=> 13.5x - 7.8x > 278 +7.8x - 7.8x [subtracting 7.8x on both side]
=> 5.7x > 278
=> x > 278/5.7 = 48.77 = 49 (approx.)
Kelsey needs to make more than 49 pendants rto make a profit.
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(easy math question please help) find the value of x question #7
The sum of the interior angles in a triangle is 180 degrees. Therefore, if we add up all of these angles, they must be equal to 180.
64 + 85 + (4x + 27) = 180
176 + 4x = 180
4x = 4
x = 1
Let's check our answer!
4(1) + 27 = 31
31 + 85 + 64 = 180
180 = 180
Hope this helps!! :)
Answer:
x=1
Step-by-step explanation:
The sum of the angles in a triangle is 180
64+ 85+ 4x+27 = 180
Combine like terms
4x+176=180
Subtract 176 from each side
4x+176-176 =180-176
4x = 4
Divide by 4
4x/4 = 4/4
x=1
Guido estimated that he would finish a puzzle in 3 hours. But the puzzle actually took him 5 hours to complete. What is the percent error in Guido's estimate? Enter your answer as a mixed number in simplest form in the box.
The percent error in Guido's estimate is 40%.
How to determine the percentage errorFrom the question, we have the following parameters that can be used in our computation:
Estimate = 3 hours
Actual = 5 hours
To find the percent error, we can use the formula:
Percent error = (|estimated value - actual value| / actual value) x 100%
Substitute the known values in the above equation, so, we have the following representation
|estimated value - actual value| = |3 - 5| = 2
So, we have
Percent error = (2 / 5) x 100%
Percent error = 40%
hence, the error is 40%
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The estimated regression equation by least squares method minimizes the sum of the Group of answer choices Absolute deviations between actual and predicted y values Differences between actual and predicted y values. Squared differences between actual and predicted y values None of the choices Absolute deviations between actual and predicted x values.
Answer:
Squared differences between actual and predicted y
Step-by-step explanation:
The least squares regression method used in predictive modeling for linear regression models produces a best fit line which will minimize the square of the mean difference between the actual and projected or predicted values of the dependent, y variable. Hence, the when the sum of the squared value of the difference between the actual and predicted values (residual) are taken, the fit which gives the minimum sum of squared value is the best fit line upon which the estimated regression equation is based.
The true statement is that the estimated regression equation by least squares method minimizes the sum of the (c) Squared differences between actual and predicted y.
In regression, the least square method is used to estimate quantities.
This is done in order to minimize the sum of the squares of the differences between the observed values and the estimated values.
In this case, the observed value and the estimated values represent the actual and predicted y
Hence, the true statement is that the estimated regression equation by least squares method minimizes the sum of the (c)
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Crane Corporation is considering purchasing a new delivery truck. The new truck would cost $55,440. The new truck is expected to generate a cost savings of $7,700. At the end of 8 years, the company will sell the truck for an estimated $27,600.
Traditionally the company has used a rule of thumb that a proposal should not be accepted unless it has a payback period that is less than 50% of the asset's estimated useful life. Larry Newton, a new manager, has suggested that the company should not rely solely on the payback approach, but should also employ the net present value method when evaluating new projects. The company's cost of capital is 8%.
a) Compute the cash payback period and net present value of the proposed investment.
b) Does the project meet the company's cash payback criteria?
c) Does it meet the net present value criteria for acceptance?
A. The payback period is 7.2 years. The net present value of the proposed investment is 3720.55.
B. No, the project does not meet the company's cash payback criteria.
C. Yes, the project does meet the net present value criteria for acceptance.
How do we solve for the net present value of the proposed investment?A. The truck costs $55,440 and generates annual cost savings of $7,700. So the payback period is the cost of the truck divided the expected amount the truck will generate.
$55,440 / $7,700 = 7.2 years
To solve for the net present value, we say
Net Present Value = ∑ [(Cash inflow in period t) / (1 + \(r^{t}\)] - Initial Investment.
NPV = (($7,700 / (1 + 0.08)¹) = 7 129.63
+ ($7,700 / (1 + 0.08)²) = 6601.51
+ .($7,700 / (1 + 0.08)³ = 6112.51
+ ($7,700 / (1 + 0.08)⁴) = 5659.73
+ ($7,700 / (1 + 0.08)⁵) = 5240.49
+ ($7,700 / (1 + 0.08)⁶) = 4 852.31
+ ($7,700 / (1 + 0.08)⁷) = 4492.88
+($7,700 / (1 + 0.08)⁸) = 4160.07
+ ($27,600 / (1 + 0.08)⁸)) = 14911.42
- $55,440
We add all these values together and subtract by $55,440
7 129.63 + 6601.51 + 6112.51 + 5659.73 + 5240.49 +4 852.31 + 4492.88 + 4160.07 + 14911.42 - $55,440
59160.55 - 55,440
NPV = 3720.55
B. The cash payback period of the project is 7.2 years. The company's cash payback criteria state that a project should not be accepted unless it has a payback period that is less than 50% of the asset's estimated useful life, which would be 4 years which is 50% of 8 years. Since 7.2 years is greater than 4 years, the project does not meet the company's cash payback criteria.
C. The positive NPV of $3,720.55 shows that embarking on the prooject will be valuable to the company. This means the project meets the NPV criteria for acceptance.
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