A student reacted 4.00 x 10^23 molecules of nitrogen with 1.00 x 10^24 molecules of hydrogen.
A) How many grams of ammonia gas will be produced?
B) Which reactant is the limiting reactant?
C) How many molecules of excess reactant remain?
Answers
A) The amount in grams of ammonia gas that will be produced is approximately 22.62 grams.
B) The limiting reactant is nitrogen.
C) The number of molecules of excess reactant remaining is approximately 7.35 x 10²³ molecules.
A) To find the grams of ammonia gas produced, we need to determine the limiting reactant and use stoichiometry. First, let's write the balanced equation for the reaction:
N₂ + 3H₂ -> 2NH₃
From the balanced equation, we can see that 1 mole of nitrogen (N₂) reacts with 3 moles of hydrogen (H₂) to produce 2 moles of ammonia (NH₃).
Given that the student reacted 4.00 x 10²³ molecules of nitrogen and 1.00 x 10²⁴ molecules of hydrogen, we need to convert these quantities to moles.
To convert the number of molecules to moles, we divide by Avogadro's number (6.022 x 10²³ molecules/mol).
For nitrogen: (4.00 x 10²³ molecules) / (6.022 x 10²³ molecules/mol) = 0.665 mol
For hydrogen: (1.00 x 10²⁴ molecules) / (6.022 x 10²³ molecules/mol) = 1.66 mol
Next, we compare the moles of nitrogen and hydrogen to determine the limiting reactant. The reactant that is completely consumed is the limiting reactant.
Since the ratio of nitrogen to hydrogen in the balanced equation is 1:3, we can see that we have excess hydrogen. This means nitrogen is the limiting reactant.
Now, using stoichiometry, we can calculate the moles of ammonia produced from the limiting reactant (nitrogen):
Moles of ammonia = Moles of nitrogen x (2 moles of ammonia / 1 mole of nitrogen)
= 0.665 mol x (2 mol / 1 mol)
= 1.33 mol
Finally, to find the grams of ammonia produced, we use the molar mass of ammonia (17.03 g/mol):
Grams of ammonia = Moles of ammonia x Molar mass of ammonia
= 1.33 mol x 17.03 g/mol
= 22.62 g
Therefore, approximately 22.62 grams of ammonia gas will be produced.
B) The limiting reactant is nitrogen because it is completely consumed in the reaction, while hydrogen is in excess.
C) Since hydrogen is the excess reactant, we need to calculate the number of molecules of hydrogen remaining.
Moles of hydrogen remaining = Moles of hydrogen - Moles of hydrogen used for reaction
= 1.66 mol - (1.33 mol / 3)
= 1.22 mol
To convert moles back to molecules, we multiply by Avogadro's number:
Molecules of hydrogen remaining = Moles of hydrogen remaining x Avogadro's number
= 1.22 mol x 6.022 x 10²³ molecules/mol
= 7.35 x 10²³ molecules
Approximately 7.35 x 10²³ molecules of hydrogen remain as excess reactant.
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Related Questions
When the declaration/// int y = 5; /// is followed by the
assignment /// y += 3.7; /// the value of y is _______.
Answers
Answer:
y = 8.7
Step-by-step explanation:
Assuming we can use decimal places, y is equal to 8.7.
In programming, += is often used as a substitute for y = y + x (example)
Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7
In a recent election 65% of eligible voters actually voted. A simple random sample of 1000 people is taken from the population of eligible voters. Which of the following represents the probability that less than 70% of the people sampled voted?
Answers
The probability that less than 70% of the people sampled voted is 0.9992.
Step 1: Calculate the mean of the sample. µ = p = 0.65 (since the percentage of eligible voters who actually voted in the recent election is 65%).
Step 2: Calculate the standard deviation of the sample.σ = sqrt{[p(1 - p)]/n} = sqrt{[(0.65)(0.35)]/1000} = 0.01578
Step 3: Calculate the z-score for the given probability. z = (0.7 - 0.65)/0.01578 = 3.16Step 4: Use the standard normal distribution table to find the area to the left of the z-score (since we want to find the probability that less than 70% of the people sampled voted).P(z < 3.16) ≈ 0.9992Therefore, the probability that less than 70% of the people sampled voted is approximately 0.9992 (or 99.92%).
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Use Green's Theorem to evaluate F dr. C (Check the orientation of the curve before applying the theorem.) F(x, y) = y - cos y, x sin y , C is the circle (x ? 8)2 + (y + 9)2 = 16 oriented clockwise.
Answers
∮C F ⋅ dr = ∬D curl F dA = ∬D 1 dA = 16π. Thus, the value of the line integral ∮C F ⋅ dr, where C is the given circle oriented clockwise, is 16π.
To evaluate the line integral ∮C F ⋅ dr using Green's theorem, we first need to calculate the curl of the vector field F(x, y) = (y - cos y, x sin y). The curl of F is defined as:
curl F = (∂F2/∂x - ∂F1/∂y) = (∂(x sin y)/∂x - ∂(y - cos y)/∂y)
Let's compute the partial derivatives:
∂F2/∂x = sin y
∂F1/∂y = -1 + sin y
So, the curl of F is:
curl F = sin y - (-1 + sin y) = 1
According to Green's theorem, the line integral ∮C F ⋅ dr around a closed curve C is equal to the double integral over the region D enclosed by C of the curl of F, i.e.,
∮C F ⋅ dr = ∬D curl F dA
Now, let's apply Green's theorem to evaluate the line integral over the given circle C: (x - 8)^2 + (y + 9)^2 = 16, oriented clockwise.
To apply Green's theorem, we need to find the region D enclosed by C. The given circle is centered at (8, -9) with a radius of 4. The region D can be visualized as the interior of the circle.
Since the curl of F is 1, the double integral becomes:
∬D curl F dA = ∬D 1 dA
The integral of the constant function 1 over the region D is simply the area of D. The area of a circle with radius 4 is π(4^2) = 16π.
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At 0° Celsius, the heat loss H (in kilocalories per square meter per hour) from a person's body can be modeled by H = 33(107V-+ 10.45) where v is the wind speed (in meters per second). (a) Find dH dv dH dv 33 dH Interpret the meaning of in this situation dv rate of change of time with respect to heat loss rate of change of wind velocity with respect to heat loss change in heat loss with respect to temperature rate of change of wind velocity with respect to time rate of change of heat loss with respect to wind velocity (b) Find the rates of change of H when v = 4 and when v = 5. (Round your answers to three decimal places). H (4) 49.5 H'(5) = 40.790 * kcal/m3 * kcal/m3
Answers
a) 33dH/dv can be simplified as:
33dH/dv = 11151v^(-0.7)
b) The rate of change of wind velocity with respect to heat loss is equal to 33dH/dv, which is equal to
11151v^(-0.7).
(a) The formula given is:
H = 33(107v^0.3 + 10.45)
Therefore, the derivative of H with respect to v is:
dH/dv = 33 * 107 * 0.3 * v^(-0.7)
= 11151
v^(-0.7)
Hence, 33dH/dv can be simplified as:
33dH/dv = 11151v^(-0.7)
(b) When v = 4
Therefore,
H = 33(107 × 4^0.3 + 10.45)
= 73.2271
So,
H'(4) = 11151 * 4^(-0.7)
= 49.4999
When v = 5
Therefore,
H = 33(107 × 5^0.3 + 10.45)
= 92.2462
So,
H'(5) = 11151 * 5^(-0.7)
= 40.7904
The rate of change of wind velocity with respect to heat loss is equal to 33dH/dv, which is equal to
11151v^(-0.7).
This tells us how much the wind velocity needs to change to affect the heat loss by a certain amount.
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Anticipated consumer demand in a restaurant for free range steaks next month can be modeled by a normal random variable with mean 1,500 pounds and standard deviation 90 pounds. a. What is the probability that demand will exceed 1,300 pounds? b. What is the probability that demand will be between 1,400 and 1,600 pounds? c. The probability is 0.15 that demand will be more than how many pounds? __________________________________________________________________________________
a. The probability that demand will exceed 1,300 pounds is ____(round to found decimal places as needed and show your work)
b. The probability that demand will be between 1,400 and 1,600 pounds is ______(round to four decimal places as needed and show your work)
c. The probability of 0.15 that demand will be more than ____pounds (fill in the blank,round to one decimal place as needed and show your work)
Answers
The probability calculations for restaurant demand are as follows: a) Probability of demand exceeding 1,300 pounds is 0.8413. b) Probability of demand between 1,400 and 1,600 pounds is 0.3413. c) The demand value corresponding to a probability of 0.15 is approximately 1,411.8 pounds.
a. The probability that demand will exceed 1,300 pounds is approximately 0.8413.
b. The probability that demand will be between 1,400 and 1,600 pounds is approximately 0.3413.
c. The probability of 0.15 that demand will be more than a certain number of pounds can be found by calculating the corresponding z-score and then converting it back to the original demand value.
Now let's explain how we get these answers step by step:
a. To find the probability that demand will exceed 1,300 pounds, we need to calculate the area under the normal distribution curve to the right of 1,300 pounds. We can convert this problem into a standard normal distribution problem by calculating the z-score. The z-score formula is (x - μ) / σ, where x is the value we're interested in, μ is the mean, and σ is the standard deviation.
In this case, x = 1,300, μ = 1,500, and σ = 90. Plugging these values into the formula, we get a z-score of (1,300 - 1,500) / 90 = -2.2222. We can then use a standard normal distribution table or calculator to find the corresponding probability. The probability that demand will exceed 1,300 pounds is approximately 0.8413.
b. To find the probability that demand will be between 1,400 and 1,600 pounds, we need to calculate the area under the normal distribution curve between these two values. Again, we convert this into a standard normal distribution problem by calculating the z-scores for both values. The z-score for 1,400 is (1,400 - 1,500) / 90 = -1.1111, and the z-score for 1,600 is (1,600 - 1,500) / 90 = 1.1111.
Using the standard normal distribution table or calculator, we find the probability of approximately 0.8413 for each z-score. To find the probability between these two values, we subtract the probability corresponding to the lower z-score from the probability corresponding to the higher z-score: 0.8413 - 0.8413 = 0.3413. Therefore, the probability that demand will be between 1,400 and 1,600 pounds is approximately 0.3413.
c. To find the demand value at which the probability is 0.15, we need to find the corresponding z-score. Using the standard normal distribution table or calculator, we can find the z-score that corresponds to a probability of 0.15.
The z-score is approximately -1.0364. We can then use the z-score formula to find the corresponding demand value: x = μ + (z * σ), where x is the demand value, μ is the mean, σ is the standard deviation, and z is the z-score.
Plugging in the values, we get x = 1,500 + (-1.0364 * 90) ≈ 1,411.77. Therefore, the probability of 0.15 corresponds to a demand of approximately 1,411.8 pounds.
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The circumference of a circle is 20π. What is the area of the circle?
Answers
Answer:
The area of the circle is 100 square units.
Step-by-step explanation:
We are given that the circumference of a circle is 20π, and we want to determine its area.
Recall that the circumference of a circle is given by the formula:
\(\displaystyle C = 2\pi r\)
Substitute:
\(20 \pi = 2 \pi r\)
Solve for the radius:
\(\displaystyle r = \frac{20\pi}{2\pi} = 10\)
The area of a circle is given by:
\(\displaystyle A = \pi r^2\)
Since the radius is 10 units:
\(\displaystyle A = \pi (10)^2\)
Evaluate:
\(\displaystyle A = 100\pi\text{ units}^2\)
In conclusion, the area of the circle is 100 square units.
when the spring is stretched and the distance from point a to point b is 5.3 feet, what is the value of θ to the nearest tenth of a degree?
a. 60.0
b. 35.2
c. 45.1
d. 55.5
Answers
When the spring is stretched and the distance from point a to point b is 5.3 feet, the value of θ is 53.13 degrees
The distance between point a to point b = 5.3 feet
The length of the top side = 3 feet
Therefore, it will form a right triangle
Here we have to use trigonometric function
Here adjacent side and the hypotenuse of the triangle is given
The trigonometric function that suitable for the given conditions is
cos θ = Adjacent side / Hypotenuse
Substitute the values in the equation
cos θ = 3 / 5
θ = cos^-1(3 / 5)
θ = cos^-1(0.6)
θ = 53.13 degrees
Therefore, the value of θ is 53.13 degrees
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a true-false test contains 11 questions. in how many different ways can the 11-question test be answered? (give an exact answer.)
Answers
The total number of possible ways to complete the test would be 2048.
Total number of questions = 11
Each equation has two possible answers (either true or false).
We need to find the total number of ways in which the test can be completed.
the total number of possible ways to complete the test= 2×2×2×2×2×2×2×2×2×2×2
the total number of possible ways to complete the test=
2¹¹
Therefore the total number of possible ways to complete the test is 2048.
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Two vectors A and B are added together to give a resultant vector R: R = A + B. The magnitudes of A and B are 3 m and 8 m, respectively, but the vectors can have any orientation.
What is (a) the maximum possible value and (b) the minimum possible value for the magnitude of R?
Answers
(a) The maximum possible value for the magnitude of R occurs when the vectors A and B are aligned in the same direction. In this case, the magnitude of R is the sum of the magnitudes of A and B: R_max = A + B = 3 m + 8 m = 11 m.
(b) The minimum possible value for the magnitude of R occurs when the vectors A and B are aligned in the opposite direction. In this case, the magnitude of R is the absolute difference between the magnitudes of A and B: R_min = |A - B| = |3 m - 8 m| = |-5 m| = 5 m.
the maximum possible value for the magnitude of R is 11 m, and the minimum possible value is 5 m.
what is direction?
In the context of various fields, the term "direction" can have different meanings:
Physics and Geometry: Direction refers to the orientation or path along which an object or phenomenon is moving or pointing. It specifies the line or vector in which an object is traveling or the position of one point relative to another. In physics, direction is often described using angles, coordinates, or vectors.
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Rebecca Smith was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 863 points. The number of two-point field goals that Rebecca made was 80 less than double the number of three-point field goals she made. The number of free throws (each worth one point) she made was 13 less than the number of two-point field goals she made. Find how many free throws, two-point field goals, and three-point field goals Rebecca Smith made during the 2006 regular season.
Answers
Answer:
Number of free throws = 155,
Number of two-points field goals= 168
Number of two-points field goals= 124
Step-by-step explanation:
Let x,y, and z be the numbers of free throws, two-point field goals and three-point field goals she made.
As she scored a total of 863 points, so
x+2y+3z=863...(i)
As the number of two-point field goals that Rebecca made was 80 less than double the number of three-point field goals she made, so
2z-y=80
Or y=2z-80...(ii)
As the number of free throws (each worth one point) she made was 13 less than the number of two-point field goals she made, so
y-x=13
-x= 13-y
-x= 13-(2z-80)
-x= 93-2z
x=2z-93...(iii)
Now, put the values from equation (ii) and (iii) to equation (i), we have
(2z-93)+2(2z-80)+3z=863
2z-93+4z-160+3z=863
9z=863+93+160=1116
z=1116/9=124
From equation (ii)
y=2x124-80=168
and from equation (iii)
x=2x124-93=155.
Hence, the number of free throws, two-point field goals, and three-point field goals Rebecca Smith made during the 2006 regular season are 155, 168, and 124 respectively.
the multiplicative inverse of -11/21 is __________
Answers
Answer:
multiplicative inverse of -11/21 is -21/11.
Chris is saving money to buy a new bike that costs $189. He has saved $99 so far. He plans on saving $10 each week. In how many weeks will Chris have enough money to buy the new bike?
Answers
Answer:
he will have the money in 9 weeks
99+10+10+10+10+10+10+10+10+10=189
Answer: It'll take Chris 9 weeks to have enough money to buy the new bike. w = 9
Step-by-step explanation:
Hey there! If you have any questions please feel free to ask them in the comments.
We can write down the formula for this problem as:
$189 = $99 + $10w
$189 is the total amount of money Chris needs, and $99 is the amount of money Chris already has. $10w would be $10 per week in which Chris will have enough money to buy the new bike.
Steps: Solve for W
$189 - $99 = $99 - $99 + $10w
$90 = 0 + $10w
$90 = $10w
\(\frac{90}{10}\) = \(\frac{10w}{10}\)
\(\frac{90}{10}\) = w
9 = w
Answer: w = 9
~I hope I helped you :)~
Select all names that apply to the number 3/7
Answers
Answer:
WYM
Step-by-step explanation:
Last night, Roberto spent 90 minutes doing homework, 2\3 infinity symbol hour reading, and 540 seconds making his lunch for the next day. How many more minutes did Roberto spend doing homework than he did reading and making his lunch?
Answers
Roberto spent 41 more minutes doing homework than he did reading and making his lunch.
What is the basic algebraic expression?
An algebraic expression is when we use numbers and words in solving a particular mathematical question.
First, let's convert all the times to minutes:
Roberto spent 90 minutes doing homework.2/3 hour of reading is equal to 2/3 x 60 = 40 minutes.540 seconds making his lunch is equal to 540/60 = 9 minutes.Now, we can calculate the difference:
90 - (40 + 9) = 41
Hence, Roberto spent 41 more minutes doing homework than he did reading and making his lunch.
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If f(x)=4x3+3x2+3x+4 , then x3f(x1) is equal to
A. f(-x)
B. f(x+2)
C. [f(x1)]2
D. f(x)
Answers
If function f(x)=4x3+3x2+3x+4 , then x3f(x1) is equal to B) x3f(x1) = f(x1+2).
To see why, we first substitute x1 into the expression for f(x):
f(x1) = 4x1^3 + 3x1^2 + 3x1 + 4
Next, we substitute x1+2 into the expression for f(x):
f(x1+2) = 4(x1+2)^3 + 3(x1+2)^2 + 3(x1+2) + 4
= 4(x1^3 + 6x1^2 + 12x1 + 8) + 3(x1^2 + 4x1 + 4) + 3(x1+2) + 4
= 4x1^3 + 27x1^2 + 69x1 + 61
Multiplying x3 with f(x1), we get:
x3f(x1) = x3(4x1^3 + 3x1^2 + 3x1 + 4)
= 4x1^6 + 3x1^5 + 3x1^4 + 4x3
We can see that x3f(x1) is not equal to f(-x), [f(x1)]2 or f(x). However, by substituting x1+2 into the expression for f(x), we get the same result as x3f(x1):
x3f(x1) = 4x1^6 + 3x1^5 + 3x1^4 + 4x3
= 4(x1+2)^3 + 3(x1+2)^2 + 3(x1+2) + 4
= f(x1+2)
Therefore, the answer is B, x3f(x1) = f(x1+2).
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By calculating the probability P(-1.96 ≤ z ≤ -1.64) under the
Standard Normal Curve we obtain:
Select one:
A.0.9750
b.0.0505
c.0.4495
D.0.0255
Clear my choice
Answers
By calculating the probability P(-1.96 ≤ z ≤ -1.64) under the Standard Normal Curve, we obtain 0.0255.
What is the probability of the z-values falling between -1.96 and -1.64?To calculate the probability P(-1.96 ≤ z ≤ -1.64) under the Standard Normal Curve, we need to find the area between these two z-values.
The z-value represents the number of standard deviations from the mean. In this case, we are interested in the left tail of the distribution, which corresponds to negative z-values.
Using a standard normal distribution table or a calculator, we can find the corresponding probabilities for -1.96 and -1.64.
P(z ≤ -1.96) = 0.025
P(z ≤ -1.64) = 0.0505
To find the area between these two z-values, we subtract the probability of the smaller value from the probability of the larger value:
P(-1.96 ≤ z ≤ -1.64) = P(z ≤ -1.64) - P(z ≤ -1.96)
= 0.0505 - 0.025
= 0.0255
Therefore, the correct answer is:
D. 0.0255
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hellppppp plzzzzzz........
Answers
if two lines begin parallel but later diverge, the geometry is
Answers
Therefore, when two lines begin parallel but later diverge, it implies that the geometry involved is non-Euclidean.
I understand that you would like an explanation related to parallel lines in geometry and the final answer should be concise, covering the main point in the last two lines.
In geometry, parallel lines are lines in a plane that never intersect or touch each other at any point. These lines always maintain the same distance from one another. However, if two lines start as parallel but later diverge, it indicates that they are no longer maintaining the same distance from each other. In such a case, the geometry under consideration is non-Euclidean.
Therefore, when two lines begin parallel but later diverge, it implies that the geometry involved is non-Euclidean.
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when the film is placed into the xcp holder with the smooth side of the film towards the throat, after processing it will appear dark. t/f
Answers
The given statement " When the film is placed into the XCP (extension cone paralleling) holder with the smooth side of the film towards the throat, after processing, it will appear darker" is false because it will lighter, not darker.
The smooth side of the film is the side that interacts with the X-ray radiation and receives the image, while the emulsion side contains the light-sensitive crystals that react to the radiation.
Placing the smooth side towards the throat ensures that the image is sharp and clear, as the X-ray beam travels through the teeth and soft tissues before reaching the film.
After processing, the exposed areas of the film turn dark, representing the captured X-ray image, while the unexposed areas remain light or clear.
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It costs $17.50 for 5 gallons of gas. Write and solve a proportion to answer the question: How much gas could you buy with $49.00?
Solve and explain
Answers
1. To jump from 17.50 to 49.00, it takes 2.8 times. In other words, 17.50 times 2.8 is 49.00. (found this out by doing 49/17.50).
2. After this, we can multiply 5 times 2.8 which gets us 14, our answer!
HELP ME PLEASE!! IM BEGGING YOU!!
Answers
Answers
x=-2
I think so ............................
Answer:
D
Step-by-step explanation:
9 is 3 squared so 9 to power x-8 can be written as 3 to power 2(x-8)
Since bases are same powers are equal so
2(x-8) = 4x-12
2x -16 =4x-12
-4 =2x
x = -2
Please help !! 2x+6+4x=180
Answers
Answer:
x = 30
Step-by-step explanation:
First you would add the like terms, which are 2x and 4x, which gives you 6x. Now the equation would read 6x + 6 = 180
You need to get rid of the six, and since what you do to one side of the equation must be done to the other, you need to subtract 6 from both sides to cancel out the 6 on the left side of the equation. The equation is now 6x = 180. Now you need to divide both sides by 6, which gives you x = 30.
Answer: x=29
2x+6+4x=180
combine like terms
2x+6+4x=180
6x+6=180
subtract 6 from both sides
6x+6-6=180-6
simplify
6x=174
divide both sides of the equasion by the same term
6x=174
6x=176
6 6
simplify again
x=29
Someone please help me ASAP!!
Answers
Answer:
B' = (-6,6)
Step-by-step explanation:
The coordinates of B are (-2,2)
If the figure is to become 3 times as large, B' would be 3(-2,2) = (-6,6)
On a city map, 1/3 inch represents 2 city blocks in real life. If city Hall and the library are 4 1/3 inches apart on the map, what is the actual distance between the two?
Answers
26 city blocks
Explanation:\(\begin{gathered} \frac{1}{3}\text{inch = 2 city blocks} \\ \\ \text{the distance betw}een\text{ the city hall and Library = 4}\frac{1}{3}inches\text{ apart} \end{gathered}\)\(\begin{gathered} \text{let the actual distance betw}een\text{ the city hall and Library = y} \\ \frac{1}{3}inch\text{ = 2 city blocks} \\ 4\frac{1}{3}inch\text{ = y} \\ \text{cross multiply:} \\ y(\frac{1}{3})\text{ = 2(4}\frac{1}{3}) \end{gathered}\)\(\begin{gathered} \frac{y}{3}\text{ = 2(}\frac{13}{3}) \\ \frac{y}{3}\text{ =(}\frac{26}{3}) \\ 3(y)\text{ = 26(3)} \\ y\text{ = }\frac{26(3)}{3} \\ y\text{ = 26} \end{gathered}\)Hence, the actual distnce between the city Hall and library is 26 city blocks apart
The US consumes an average of 5.25 million metric tons of bananas per year. There are 317 million people in the US and there are 1000 kg in 1 metric ton. It costs $2.10 per kilogram of bananas. And how much money will this be per person every day?
Answers
Consumption of Bananas per year = 5, 250, 000 metric tons
We know 1000 kg = 1 metric ton, so
Consumption of Bananas per year (in kg) = 5, 250, 000 x 1000 = 5, 250, 000, 000 kgs
Cost of Banana = $2.10 per kg
So,
Cost of all bananas = 5, 250, 000, 000 x 2.10 = $ 11,025,000,000 (per year)
Taking a year to be 365 days, let's find the cost for a day:
\(\frac{11,025,000,000}{365}=\$30,205,479.4521\)Since there are 317 million [317,000,000] people in the US, the cost per person every day is:
\(\frac{30,205,479.4521}{317,000,000}\approx\$0.0952854\)Rounding to the nearest cent,
$0.10So, the amount (in dollars) per person every day = $0.10Answer$0.10Need help finding opq =?
Answers
Answer:
110
Step-by-step explanation:
add each side together to get the whole
OPR+RPQ=OPQ
84+26=110
Answer:
110°
Step-by-step explanation:
Angle OPQ= angle OPR + angle OPQ
=84+26
=110°
What is an advantage of using credit? A. you don't have to pay in full immediately B. you can go into debt c. finance charges D. interest charges
Answers
Answer:
intereejejdjjdjdkksusubebdķķdjd
Answer:
A
Step-by-step explanation:
Credit is literally just a loan. They trust you to pay the money back
please I need answer right now ppleassssee
D. -1/4+-2/3
with explanation pleaseeee
Answers
Answer:
1 - 1/3
Step-by-step explanation:
Since 1/2 * 2/3 = 1/3, it should be the case that 1/3 divided by 2/3 gives 1/2 and that 1/3 divided by 1/2 gives 2/3. To divide fractions, we multiply the numerator by the reciprocal of the denominator, where the reciprocal of a number just interchanges the numerator and denominator of the number.
How are 4/10, ⅘, and 4/20 ordered from least to greatest?
Answers
Answer:
4/20, 4/10, and 4/5
Step-by-step explanation:
you need a common denominator, which would be 20
multiply everything, you get 8/20, 16/20, and 4/20
to order from least to greatest you just order it accordingly
Answer:
4/5 , 4/10 , 4/20
Step-by-step explanation:
imagine you wanna eat the most pizza. would you prefer to eat 4 of five slices, 4 of ten slices, or 4 of 20 slices? basically, if the top number (numerator) is the same the one with the bigger denominator (bottom number) is smaller.
A 5.5-foot-tall woman walks at 8 ft/s toward a street light that is 22 ft above the ground. What is the rate of change of the length of her shadow when she is 20 ft from the street light? At what rate is the tip of her shadow moving?
Answers
Answer: \(\frac{8}{3}\ ft/s\)
Step-by-step explanation:
Given
length of shadow =22 ft
height of woman =5.5 ft
speed of woman \(\frac{dy}{dt}=8\ ft/s\)
from the figure, we can write
\(\frac{22}{x+y}=\frac{5.5}{x}\)
at given instant
y=20 ft
so, using similar triangle properties
\(\frac{22}{x+20}=\frac{5.5}{x}\\22x=5.5x+110\\16.5x=110\\x=6.67\ ft\)
Again we can write
\(\dfrac{22}{x+y}=\dfrac{5.5}{x}\\22x=5.5x+5.5y\\16.5x=5.5y\\3x=y\\\text{differentiate w.r.t time} \\3\frac{dx}{dt}=\frac{dy}{dt}\\\frac{dx}{dt}=\frac{1}{3}\times 8=\frac{8}{3}\ ft/s\ \text{away from the woman}\)
