What is the number?
10% more than a number is 132.
Step-by-step explanation:
10% more = 110% of the number.
110% of the number = 132
100% of the number = 132 * (10/11) = 120.
The number is 120.
Each answer choice represents a square prism, and the measurement of the length of the base is given. The volume of each square prism is equal to 480 cubic centimeters. Which THREE square prisms have a surface area between 375 and 450 square centimeters?
4 centimeters
5 centimeters
6 centimeters
8 centimeters
10 centimeters
Answer:
is 6 and 4
Step-by-step explanation:
Answer:
5, 8 and 10
Step-by-step explanation: 10 x 8 = 80 x 5 = 400 which is between 375 and 450
whats the answer
x-y=5
3x-2y=12
need to find the x and the y.
The values of x and y in the system of equations, x - y = 5 and 3x - 2y = 12, are: x = 2 y = -3
How to Solve a System of Equations?Given the system of equations:
x - y = 5 --> eqn. 1
3x - 2y = 12 --> eqn. 2
Rewrite equation 1:
x = 5 + y --> eqn. 3
Substitute x for 5 + y into equation 2:
3(5 + y) - 2y = 12
15 + 3y - 2y = 12
15 + y = 12
y = 12 - 15 [subtraction property]
y = -3
Substitute y = -3 into equation 3:
x = 5 + (-3)
x = 2
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en una optica se ofrece la siguiente promoción: se descuenta de la compra de anteojos un porcentaje idéntico a la edad correspondiente del cliente, es decir, si el cliente tiene 23 años, el descuento se le aplica de un 23%. El abuelo de Andrés dice: esos anteojos de $40.000 me costarían tan solo $4.000. ¿Qué edad tiene el abuelo de Andrés?
We will see that the percentage in which the price decreases is 90%, thus the age is 90 years.
How old is Andrés?
We know that the percentage in which the price decreases is equal to the age of Andrés.
We can write:
P = $4,000 = $40,000*(1 - k)
Where k is the percentage in decimal form.
Solving for k:
k = ($40,000 - $4,000)/$40,000 = 0.9
To obtain the percentage, we multiply by 100%.
0.9*100% = 90%
We conclude that Andrés is 90 years old.
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In a factory, 5 machines can create 13,000 forks in 8 hours. How many forks can be made in 6 hours by 3 machines?
Answer:
13000 / 8 = 1625
1625 / 5 = 325
325 *3 *6 = 5850
Answer: 5850
Step By Step: First divide 13,000 by 8, giving you 1,625. Divide that by 5,
to get 325. So each machine makes 325 an hour. Multiply That by 3, giving you 975, multiply that by 6, giving you 5,850.
Which function has the least rate of change?
A sack of pet food costs $15.50.if you buy two sacks the shop only charges $13.25 per sack.What is the percentage discount per sack when you buy two sacks?
The percentage discount per sack when you buy two sacks is 14.5%
How to determine the percentage discount?The given parameters are:
Cost per sack = $15.50Discount cost = $13.25The percentage discount is calculated as:
\(Percentage = \frac{Cost - Discount}{Cost} * 100\%\)
This gives
\(Percentage = \frac{15.5 - 13.25}{15.5} * 100\%\)
Evaluate
Percentage = 14.5%
Hence, the percentage discount per sack when you buy two sacks is 14.5%
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Which statement about a dilation with a scale factor of 3 is true?
Given : dilation with a scale factor of 3
To find : Which statement is true
Solution:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size
if Dilation factor N then image Size is multiplied by N
if Scale factor < 1 then image get reduced
if scale factor > 1 then image get enlarged
scale factor = 1 lead to Same size image
Here is given that Scale factor of 3
=> image will be enlarged to 3 times the original image
Hence correct option is :
C)Each side in the pre-image is multiplied by three to find the corresponding side length in the image
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Rack heights vary from a few rack units to many rack units. The most common rack heights are 24U and 42U. How tall is a 24U rack?
As per the measurement the height of the 24U rack is 42 inches.
A rack height measurement refers to the size of the data center equipment that needs to be stored in a server rack.
The most common rack heights are 24U and 42U. These measurements refer to the number of units of 1.75 inches in height that can be accommodated in a server rack.
A 24U rack is 24 units of 1.75 inches high, so the total height of a 24U rack can be calculated by multiplying 24 by 1.75 inches.
Therefore, a 24U rack is 42 inches tall.
This is a standard height measurement for a server rack and is commonly used in data centers.
It is important to note that these measurements are standardized and refer to the size of the equipment that can be stored in the rack, not the actual physical dimensions of the rack itself.
So, when choosing a server rack, it is important to consider the height measurement in relation to the equipment that needs to be stored in it.
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an object is dropped straight down from a helicopter. the object falls faster and faster but its acceleration is measured in ft/sec^2 and recorded every second after the drop for 5 seconds, as shown. Find the following estimates
Upper estimate for the speed when t=5
Lower estimate for the speed when t=5
Upper estimate for the distance fallen when t=3
After considering all the given data we conclude that the upper estimate regarding t= 5 is 74.65 ft/sec, the lower estimate regarding t = 5 is 45.28 ft/sec, the upper estimate regarding t = 3 is 63.18 ft.
It is known that acceleration of the object is measured in ft/sec² and measured every second after the drop for 5 seconds. The acceleration decreases over time because of air resistance.
The upper estimate for the speed when t=5 is 32+19.41+11.77+7.14+4.33= 74.65 ft/sec.
The lower estimate for the speed when t=5 is 19.41+11.77+7.14+4.33+2.63=45.28 ft/sec.
The upper estimate for the distance fallen when t=3 is 32+19.41+11.77=63.18 ft.
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CenterWare is a manufacturer of large flower pots for urban settings. The company has these standards: Read the requirements Requirement 1. Compute the direct labor rate variance and the direct labor efficiency variance. (Enter the variances as positive numbers, Enter favorable (F) or unfavorable (U), Abbreviations used: DL = Direct labor) Begin with the direct labor rate variance. First determine the formula for the rate variance, then compute the rate variance for direct labor DL rate variance Х Standard Price and Volume Co hou flor Dir Dir Act ove Direct materials (resin). Direct labor..... Standard variable manufacturing overhead rate Budgeted fixed manufacturing overhead. Standard fixed MOH rate 10 pounds per pot at a cost of $5.00 per pound 2.0 hours at a cost of $21.00 per hour .$3.00 per direct labor hour $16.000 $10.00 per direct labor hour (DLH) Act Stal ove pro Print Done e i Actual Results - X Center Ware allocated fixed manufacturing overhead to production based on standard direct labor hours. Last month, the company reported the following actual results for the production of 1,000 flower pots: Purchased 11.400 pounds at a cost of $5.10 per pound; Direct materials... used 10,700 pounds to produce 1,000 pots Worked 2.5 hours per flower pot (2,500 total DLH) at a Direct labor cost of $18.00 per hour Actual variable manufacturing $3.40 per direct labor hour for total actual variable overhead manufacturing overhead of $8,500 Actual fixed manufacturing overhead $15.700 Standard fixed manufacturing overhead allocated based on actual production.. $20,000 1. Compute the direct labor rate variance and the direct labor efficiency variance. 2. What is the total variance for direct labor? 3. Who is generally responsible for each variance? 4. Interpret the variances.
CenterWare's direct labor rate variance is $2,100 unfavorable, indicating that the actual rate paid for labor was higher than the standard rate. The direct labor efficiency variance is $2,500 favorable, suggesting that the company achieved higher productivity than expected. The total variance for direct labor is $400 favorable.
To compute the direct labor rate variance, we need to calculate the difference between the actual rate and the standard rate, and then multiply it by the actual hours worked. The formula for the rate variance is (Actual Rate - Standard Rate) × Actual Hours. In this case, the standard rate is $21.00 per hour, and the actual rate is $18.00 per hour. The actual hours worked are 2,500 DLH. Plugging in these values, we find the direct labor rate variance to be ($18.00 - $21.00) × 2,500 = -$7,500, indicating an unfavourable variance.
To calculate the direct labor efficiency variance, we need to find the difference between the actual hours worked and the standard hours allowed, and then multiply it by the standard rate. The formula for the efficiency variance is (Actual Hours - Standard Hours) × Standard Rate. The standard hours allowed are 2,000 DLH (1,000 pots × 2.0 hours per pot). Substituting the values, we get (2,500 - 2,000) × $21.00 = $10,500, indicating a favorable variance.
The total variance for direct labor is the sum of the rate variance and the efficiency variance. In this case, the total variance is -$7,500 + $10,500 = $3,000, which is favorable, indicating that the company performed better than expected in terms of labor cost and efficiency.
The responsibility for the rate variance generally lies with the purchasing department, as they are responsible for negotiating labor rates and purchasing materials at the standard price. The efficiency variance is typically the responsibility of the production department, as they are accountable for achieving the standard labor hours and maximizing productivity.
The rate variance reflects the difference between the actual rate paid for labor and the standard rate. An unfavorable rate variance suggests that the company paid more for labor than anticipated, which could be due to factors like higher wages or inefficient labor management. Conversely, a favorable rate variance would indicate cost savings in labor.
The efficiency variance measures the productivity of labor and represents the difference between the actual hours worked and the standard hours allowed. A favorable efficiency variance implies that the company achieved higher productivity or used fewer labor hours than expected. It could result from factors such as skilled and efficient labor, improved production processes, or effective workforce management.
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Find the circumference of each circle. Use 3.14 for it. Round to the nearest 1 point
hundredth, if necessary. *
Answer:
π represents the ratio between circumference and diameter and for any circle, its always 3.14. Circumference = pi × diameter, so using your approximation of pi it's 10×3.14 = 31.4cm.
Step-by-step explanation:
6. Let g be the function defined by g(x) = –22 + 2x. Find g(a+h), g(-a), g(va), 1 a +9(a), and g(a)
The values of g(a + h), g(-a), g(va), 1 a +9(a), and g(a) are - 22 + 2a + 2h, - 22 - 2a, - 22 + 2vaa, 2(- 11 + 10a), and - 22 + 2a, respectively.
The given function is g(x) = –22 + 2x and to find g(a + h), we replace x by a + h in the given function.
g(a + h) = - 22 + 2 (a + h) = - 22 + 2a + 2h
To find g(-a), we replace x by -a in the given function.
g(-a) = - 22 + 2(-a) = - 22 - 2a
To find g(va), we replace x by va in the given function.
g(va) = - 22 + 2(va) = - 22 + 2vaa
To find 1 a + 9(a), we replace x by a + 9a in the given function.
g(a + 9a) = - 22 + 2 (a + 9a) = - 22 + 20a = 2(- 11 + 10a)
To find g(a), we replace x by a in the given function.
g(a) = - 22 + 2a
Therefore, the values of g(a + h), g(-a), g(va), 1 a +9(a), and g(a) are - 22 + 2a + 2h, - 22 - 2a, - 22 + 2vaa, 2(- 11 + 10a), and - 22 + 2a, respectively.
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What does m equal?please help me.
Answer:
id.k hunnybut than you
Step-by-step explanation:
What is the inverse of the function f(x) = 2x + 1? 1 1 Oh(x) = 2 2 1 oh(x) = O n(x) = 5x + 199 3x-2 - 3x + 2 h(x) = x + 2
Answer:
\(f^{-1}\)(x) = \(\frac{x-1}{2}\)
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 2x + 1 ( subtract 1 from both sides )
y - 1 = 2x ( divide both sides by 2 )
\(\frac{y-1}{2}\) = x
Change y back into terms of x with x = \(f^{-1}\)(x) , thus
\(f^{-1}\)(x) = \(\frac{x-1}{2}\)
Is my answer correct?
Using the concepts of the mean and of the mean absolute deviation, the correct option is given as follows:
Last month, the amount of rain that fell each day varied less than the month before.
What is the mean absolute deviation of a data-set and what does it represent?The mean of a data-set is given by the sum of all observations divided by the cardinality of the data-set, which is the number of observations in the data-set.The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations, hence it basically is the mean of the deviations, given a degree of variability.The mean absolute deviation(MAD) represents the average by which the values differ from the mean.In this problem, we have that:
Two months ago, the measures were: Mean 9.4 cm, MAD 3.5 cm.Last month, the measures were: Mean 11.5 cm, MAD 1.6 cm.Due to the lower mean absolute deviation combined with the higher mean, the amount varied less than the month before, hence the last option is correct.
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The number of guests in a hotel per day resembles a normal distribution with a mean of 220 and standard deviation of 30. One day, the z-score of the number of guests was 2.3. How many guests did the hotel have on that day?
The hotel had 289 guests on the day in question. The z-score is a measure of how many standard deviations a data point is away from the mean of the distribution.
In this case, we are given that the number of guests in a hotel per day follows a normal distribution with a mean of 220 and a standard deviation of 30, and that the z-score of the number of guests on a particular day was 2.3.
Using the formula for z-score, we have:
z = (x - mu) / sigma
where x is the number of guests on the given day, mu is the mean of the distribution, and sigma is the standard deviation of the distribution.
Substituting the given values, we have:
2.3 = (x - 220) / 30
Multiplying both sides by 30, we get:
69 = x - 220
Adding 220 to both sides, we get:
x = 289
Therefore, the hotel had 289 guests on the day in question.
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True or false: If y is in a subspace W as well as its orthogonal complement Wâ¥, then y must be the zero vector.
True.
if y is not the zero vector, then there exists a non-zero vector v in the original vector space that is orthogonal to y.
If y is in a subspace W as well as its orthogonal complement Wâ¥, then y is orthogonal to every vector in W as well as every vector in Wâ¥. Since W and W⥠are complements, every vector in the original vector space can be written uniquely as the sum of a vector in W and a vector in Wâ¥. Since y is orthogonal to every vector in W and every vector in Wâ¥, it must be orthogonal to every vector in the original vector space.
Therefore, if y is not the zero vector, then there exists a non-zero vector v in the original vector space that is orthogonal to y. But then v would belong to both W and Wâ¥, which is impossible since W and W⥠are orthogonal complements and their intersection is only the zero vector.
Hence, it follows that if y is in a subspace W as well as its orthogonal complement Wâ¥, then y must be the zero vector.
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For all real numbers a and b, 2a • b = a2 + b2 Is this true or false? Explain why it false or true.
Answer:
It's false.... correct is a2+2ab+b2
Step-by-step explanation:
This cannot be factored anymore although. when we try to substitute a with 5 and b with 2, the answer in the right hand side of the equation is -9.
That's why it's false.
two trains heading toward each other from 55- miles apart one leaves at noon with a speed of 70 mph and the other leaves at 1 with a speed of 50 mph when they meet how far are they from train a starting point
Those two trains met 4 hours after 1 pm or at 5 pm. They met at 350 miles from train A's starting point.
The relation between distance, speed, and time is given by:
distance = speed x time
In the given problem:
Train A leaf at 12.00 pm, with
speed = 70 mph
Since train B left at 1 pm, by the time train B left, train 1 has travelled a distance of:
distance train A = 70 mph x 1 hour = 70 miles.
Hence, when train A and train B left at 1 pm, they are 550 - 70 = 480 miles apart.
Let
sA = distance travelled by train A since 1 pm
sB = distance travelled by train B since 1 pm
Hence,
sA = 70 t
sB = 50 t
When they met:
sA + sB = 480
70t + 50t = 480
120t = 480
t = 480/120 = 4 hours
Therefore, the met at 5 pm. At that time, train A has travelled 5 hours and its position is:
distance = 70 x 5 = 350 miles from its starting point.
Your question seems incorrect, most probably the correct question was:
Two trains heading toward each other from 550 miles apart one leaves at noon with a speed of 70 mph and the other leaves at 1 with a speed of 50 mph when they meet how far are they from train a starting point
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Point S is on line segment \overline{RT}
RT
. Given ST=2ST=2 and RT=8,RT=8, determine the length \overline{RS}.
RS
.
Answer:
6
Step-by-step explanation:
Trust me it is
The value of the segment RS will be equal to 6 units.
What is a line segment?A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
Given that point, S is on line segment {RT} and ST=2 and RT=8. The length of the segment RS will be calculated as below:-
RT is the total length and the sum of RS and ST. The expression can be written as:-
RS = RT - ST
RS = 8 - 2
RS = 6
Therefore, the value of the segment RS will be equal to 6 units.
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It takes Sophia 4/5 hour to walk to the store 2/3 mile
away. What is her walking pace in miles per
hour?
Answer:
rate = 5/6 miles per hour
Step-by-step explanation:
Givens
distance = 2/3 mile
time = 4/5 hours
Formula
rate = distance / time
Solution
Rate = 2/3 // 4/5 Turn the denominator upside down and multiply
Rate = 2/3 * 5/4
Rate = 10 / 12 Divide the denominator and numerator by 2
Rate = 5/6
find the average rate of change of the function from x1 to x2 calculator
To find the average rate of change of a function from x1 to x2, you need to calculate the difference in the function's values at x1 and x2, and divide it by the difference in the x-values. The formula for average rate of change is (f(x2) - f(x1)) / (x2 - x1).
The average rate of change measures the average rate at which a function is changing over a given interval. To calculate it, you subtract the function's values at the starting point (x1) and ending point (x2), and then divide it by the difference in the x-values. This gives you the average rate of change for the interval from x1 to x2.
Example: Let's say we have a function f(x) = 2x + 3. To find the average rate of change from x1 = 1 to x2 = 4, we substitute these values into the formula: (f(4) - f(1)) / (4 - 1). Simplifying, we get (11 - 5) / 3 = 6 / 3 = 2. Therefore, the average rate of change of the function from x1 = 1 to x2 = 4 is 2.
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Triangle ABC is dilated to create triangle A'B'C' using point O as the center of dilation. What is the scale factor of the dilation? One-third 3 4 One-fourth
Answer:
The scale factor is 4
Step-by-step explanation:
This question requires an attachment; I'll answer this question using the attached figure
From the attachment
Length OA = 3 units
Length OA' = 3 units + 9 units
Length OA' = 12 units
Scale Factor is calculated as follows;
\(Scale\ Factor = \frac{New\ Side}{Original\ Side}\)
Given that the original shape is ABC, the original side will be OA
Hence, Original Side = 3 units
New Side = OA' = 12 units
The formula becomes
\(Scale\ Factor = \frac{12\ units}{3\ units}\)
\(Scale\ Factor = 4\)
Hence, the scale factor is 4
Answer:
4
Step-by-step explanation:
Just clarifying
Show that y(t)=0 and y(t)=(1/16)t^4 are both solutions of the initial value problem y'=t*y^(1/2), where y(0)=0. Explain why this fact does not contradict theorem.
Both y(t) = 0 and y(t) = (1/16)t^4 are solutions to the initial value problem y' = t * y^(1/2), where y(0) = 0.
To verify if a function is a solution to a differential equation, we need to substitute it into the equation and check if it satisfies both the equation and the initial condition.
For y(t) = 0:
y'(t) = t * (0)^(1/2) = 0
Since y'(t) = 0, this satisfies the differential equation. Additionally, y(0) = 0 satisfies the initial condition.
For y(t) = (1/16)t^4:
y'(t) = t * [(1/16)t^4]^(1/2) = t * [(1/16)^(1/2) * t^2] = (1/16)t^3
This also satisfies the differential equation. And y(0) = 0 is satisfied as well.
The fact that both y(t) = 0 and y(t) = (1/16)t^4 are solutions to the initial value problem does not contradict any theorem. It simply means that there are multiple solutions to the differential equation.
The existence of multiple solutions is possible and consistent with the nature of certain differential equations, and it is not contradictory as long as each solution satisfies the equation and the initial condition.
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I need help please. I will give brainlyist.
Answer:
If you are solving for V, the answer is \(v = 1, -1\)
Step-by-step explanation:
Take the root of both sides and solve.
Hope this helps!
I need help, I'll give Brainest
Answer:
it should be cost, because when there is more quantity of something there will be less price.
Please Help
Please let me know how to do it, I don't only want the answer. Thank you!
(4y+3)-(y-2)
(There is no equal sign in the math problem)
trucks in a delivery fleet travel a mean of 120 miles per day with a standard deviation of 11 miles per day. the mileage per day is distributed normally. find the probability that a truck drives between 99 and 128 miles in a day. round your answer to four decimal places.
The probability that a truck drives between 99 and 128 miles in a day is 0.7734 rounded to four decimal places.
What is the standard deviation?Standard deviation is a statistical measurement that depicts the average deviation of each value in a dataset from the mean value. It tells you how much your data deviates from the mean value. It represents the typical variation between the mean value and the individual data points.
The formula for the probability that a truck drives between 99 and 128 miles in a day is:
\(Z = (X - \mu) /\sigma\)
where, X is the number of miles driven per day; μ is the mean of the number of miles driven per day; σ is the standard deviation of the number of miles driven per day. The value of Z for 99 miles driven per day is:
\(Z = (99 - 120) / 11 = -1.91\)
The value of Z for 128 miles driven per day is:
\(Z = (128 - 120) / 11 = 0.73\)
Using a standard normal distribution table or calculator, the probability of a truck driving between 99 and 128 miles per day is:
\(P(-1.91 < Z < 0.73) = 0.7734\)
Therefore, the probability that a truck drives between 99 and 128 miles in a day is 0.7734 rounded to four decimal places.
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Keshawn bought 16 chicken wings for $28.80. How much would it cost for 9 wings?
Answer:
Step-by-step explanation:
I'm assuming this is linear and that there is no special on a larger order of wings. To find the unit price of each piece, divide $28.80 by 16 to get that each piece cost $1.80 (that's a lot for a single chicken wing. That better be one BIG chicken...). To find the cost of 9 wings, multiply 9 by $1.80 to get $16.20
The rule of three is a way to solve problems of proportionality between three known values and one unknown. It establishes a relationship of linearity, proportionality, between the values involved.
We solve by applying the rule of three:Chicken Wings Price
16------------------------$28.80
9-----------------------------x
First, multiply the number of wings purchased by the given price, divided by the number of wings purchased.
We solve
x = 9 × $28.80 / 16 = 16.2Answer: 9 wings would cost a total of $16.2