Answer:
\(\frac{8^{12} }{8^{9} }=8^{12-9}=8^{3}\)
Step-by-step explanation:
HELP! GEOMETRY!! WILL GIVE BRAINLIEST!
Select the correct answer.
Which equation is true for the value b = 2?
A.
2b + 24 = 30
B.
3b − 2 = 4
C.
b + 4 = 8
D.
2b − 3 = 0
the scale on a map of roswell, new mexico is $1\text{ inch}:0.51\text{ mile}$. if two buildings in roswell are $2.3$ miles apart in real life, then to the nearest tenth of an inch, how far apart are they on the map?
Two Hills in Roswell is 1.173 miles apart in real life.
The mile, sometimes called the international mile or statutory mile to distinguish it from others, is an imperial unit in the United Kingdom and a common unit of distance in the United States. Both are based on old English units that are 5,280 British feet or 1,760 yards long. The legal mile was standardized in 1959 by an international agreement between the British Commonwealth and the United States and formally redefined in SI units to be exactly 1,609.344 meters.
With the modifier, the mile is also used to describe or convert a wide range of units derived from or roughly equivalent to the Roman mile, such as the Chinese mile (now exactly 500 m). will be The Romans divided the mile into 5,000 Roman feet, but the furlong was so important in Elizabethan England that in 1593 the legal mile was equal to 8 furlongs, or 5,280 feet. This form of the mile has since spread partially to the successor states of the British Empire, where they continue to use the mile.
According to the question:
The scale is 1 inch : 0.51 miles. It means 1 inch on the map represents 0.51 miles in real life.
If we have 2.3 inches on the map, then in real life
in real life = 2.3 × 0.51
in real life = 1.173 miles.
Two hills in Roswell is 1.173 miles apart in real life
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What happens to ena if the extracellular concentration of sodium ([na]o) is increased by a factor of 10? factor of 100? decreased by a factor of 10?
Equilibrium potential increases by 2.303 times when Na is increased by factor 10.
Equilibrium potential increases by 4.606 times Na is increased by factor 100.
Equilibrium potential decreases by 4.606 times Na is decreased by factor 100.
Given,
Sodium ion
Here,
Using nernst equation,
E = RT/nF \(ln\frac{Na_{ex} }{Na^+_{in} }\)
E = 58mV
When \({Na_{ex}\) increased by a factor of 10,
E' = RT/nF ln(10 Na)/Na
E/E' = 1/ln(10)
E/E' = 1/2.303
E' = 2.303E
Thus equilibrium potential increases by 2.303 times.
Now when Na is increased by a factor of 100
E' = 4.606E
Equilibrium potential increases by 4.606 times.
Now when Na is decreased by a factor of 100
E' = 4.606E
Equilibrium potential decreases by 4.606 times.
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Complete question is attached below.
A data set contains three unique values. Which of the following must be true?
mean = median
median = midrange
median = midrange
none of these
If a data set contains three unique values, none of the given statements must be true.
The mean is the average of a data set, calculated by summing all values and dividing by the number of values. In a data set with three unique values, the mean will not necessarily be equal to the median, which is the middle value when the data set is arranged in ascending or descending order.
The median is the middle value in a data set when arranged in order. With three unique values, the median will not necessarily be equal to the midrange, which is the average of the minimum and maximum values in the data set.
Therefore, none of the statements "mean = median," "median = midrange," or "median = midrange" must hold true for a data set with three unique values.
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A cyclist is riding on a bike trail, pedaling at a speed of 20 miles per hour. the cyclist plans to pedal at this speed for the next 35 miles, plus or minus 10 miles. find the minimum and maximum number of hours the cyclist will pedal at that speed.
The cyclist will pedal at given speed for minimum 1.25 and maximum 2.25 hours.
The relation between speed, distance and time is as follows -
Speed = distance ÷ time. The maximum and minimum number of hours will depend on the distance. The maximum number of hours will be spent when maximum distance is covered, and minimum number of hours will be spent when minimum distance is covered.
Maximum distance = 35 + 10
Maximum distance = 45 miles
Minimum distance = 35 - 10
Minimum distance = 25 miles
Maximum number of hours = 45 ÷ 20
Maximum number of hours = 2.25 hours
Minimum number of hours = 25 ÷ 20
Minimum number of hours = 1.25 hours
Thus, cyclist will pedal at given speed for minimum 1.25 and maximum 2.25 hours.
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Can you please help me with this one?
Thank u!
a) The bearing of Wellington from Gisborne is 232°
b) The bearing of Wellington from Auckland is 175.37°
How to solve bearing problems?We are given that AW = 410 km and GW = 400 km.
a) AG is a transversal intersecting two parallel lines N₁A and N₂B and ∠N₁AG = 115°.
Thus;
∠AGN₂ = 180 − 115 = 65°
since the sum of the interior angles on the same sides of the transversal intersecting two parallel lines are supplementary.
Thus;
∠N₂GW = 65 + 63 = 128°.
The reflex angle;
∠N₂GWW = 360 − 128° = 232°
b) In △AGW, we can say that by the sine rule;
(sin∠WAG)/WG = (sin∠AGW)/AG
Plugging in the relevant values;
(sin∠WAG)/400 = (sin∠63°)/410
Solving for ∠WAG gives; ∠WAG = 60.37°
Then;
∠N₁AW = 115 + 60.37
∠N₁AW = 175.37°
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Dante buys his lunch every day at school. After 15 days, Dante has spent $37.50 on school
lunches. At this rate, how much did Dante spend on school lunches after 5 days?
Answer:
12.5
Step-by-step explanation:
37.50÷15=2.5
2.5×5=12.5
Answer: $12.50
Step-by-step explanation:
You have to divide 37.5 by 15 which is 2.5 then multiply that by 5 which is 12.5.
At a wedding there were 40 people from gromms side and 56 people from bride's family at the wedding
find the ratio of the groom's family to the bride's family at the wedding
Answer:
5 : 7
Step-by-step explanation:
groom's side: 40
bride's side: 56
ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7
Answer: 5 : 7
question on the image
Answer:
475.2
Step-by-step explanation:
682 is 1.55 of the original amount so 1.55x=682
682/1.55=440
440*1.08=475.2
Quick algebra 1 question for 50 points!
Only answer if you know the answer, quick shout-out to Yeony2022, tysm for the help!
Answer:
d: y=5x
Step-by-step explanation:
Since we know a few points: (2,10), (3,15), (4,20), we can use two of them to first find the slope. The equation for the slope is (Increase in y)/(increase in x).
1. Slope between (2,10) and (3,15) is 5/1 which is 5. So the slope will be 5.
2. With the slope, we know that our equation will be: y=5x+b. To find b, we can replace x and y with another point. 20 = 5(4)+b. --> 20 = 20 +b. Now we know that b equals 0.
Our final equation will be y = 5x.
RECHECKING!
I'll recheck whether my answer is right or not using Desmos (A online graphing calculator).
I added an image down below, and I drew the points in blue. This shows that since the graph crosses all three points, it is correct.
WHY y=1/5x IS NOT CORRECT (based on your comments)
If you look at the points, the relationship between x and y is not 1/5. If you multiply something from x, it should become 10.
--> 2 times __ = 10
--> 3 times __ = 15
--> 4 times __ = 20
And clearly, __ will be 5. If it becomes 1/5, we won't get the right number of y.
This is why y=1/5 is not correct.
Hope this helps!
Shore Company reports the following information regarding its production cost.
Units produced 44,000 units
Direct labor $ 39 per unit
Direct materials $ 40 per unit
Variable overhead $ 10 per unit
Fixed overhead $110,920 in total
Compute product cost per unit under absorption costing.
Multiple Choice
o $85.00
o $91.52
o $79.00
o $39.00
o $40.00
A sporting goods manufacturer budgets production of 53,000 pairs of ski boots in the first quarter and 44,000 pairs in the second quarter of the upcoming year. Each pair of boots requires 2 kilograms (kg) of a key raw material. The company aims to end each quarter with ending raw materials inventory equal to 25% of the following quarter's material needs. Beginning inventory for this material is 25,500 kg and the cost per kg is $7. What is the budgeted materials purchases cost for the first quarter?
Multiple Choice
o $742,000
o $710,500
o $556.500
o $773,500
o $927,500
Ratchet Manufacturing's August sales budget calls for sales of 4,000 units. Each month's unit sales are expected to grow by 5%. The product selling price is $25 per unit. The expected total sales dollars for September's sales budget are:
Multiple Choice
o $100,000.
o $95,000
o $105,000
o $110.000
o $4,200.
Fortune Company's direct materials budget shows the following cost of materials to be purchased for the coming three months:
January February March
Haterial purcha $ 13,180 $ 15,290 $ 12,110
Payments for purchases are expected to be made 50% in the month of purchase and 50% in the month following purchase. The December Accounts Payable balance is $7,900. The expected January 31 Accounts Payable balance is:
Multiple Choice
o $7,900
o $7,645
o ST3180
o $6.590.
o $10,540
The product cost per unit under absorption costing is $91.52.
The budgeted materials purchases cost for the first quarter is $710,500.
The expected total sales dollars for September's sales budget are $105,000.
The expected January 31 Accounts Payable balance is $7,645.
To calculate the product cost per unit under absorption costing, sum up the direct labor, direct materials, variable overhead, and fixed overhead per unit. In this case, it is $39 + $40 + $10 + ($110,920 / 44,000 units) = $91.52.
To calculate the budgeted materials purchases cost for the first quarter, multiply the total material needs for the quarter by the cost per kg of raw material. In this case, it is (53,000 pairs * 2 kg/pair) * $7 = $742,000.
To calculate the expected total sales dollars for September's sales budget, multiply the August sales by the growth rate and the selling price per unit. In this case, it is 4,000 units * 1.05 * $25 = $105,000.
To calculate the expected January 31 Accounts Payable balance, sum up the December Accounts Payable balance, purchases in January, and 50% of purchases in February. In this case, it is $7,900 + $13,180 + ($15,290 / 2) = $7,645.
Therefore, the product cost per unit under absorption costing is $91.52, the budgeted materials purchases cost for the first quarter is $710,500, the expected total sales dollars for September sales budget are $105,000, and the expected January 31 Accounts Payable balance is $7,645.
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Cooper obtains an experimental functions of the stream function and the velocity potential for a particular flow type which are given by ψ=2xy and φ=x
2
−y
2
. Show that the conditions for continuity and irrotational flow are satisfied.
The given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.
To show continuity, we need to verify that the partial derivatives of ψ and φ with respect to x and y are equal. Let's calculate these partial derivatives:
∂ψ/∂x = 2y
∂ψ/∂y = 2x
∂φ/∂x = 2x
∂φ/∂y = -2y
From the above calculations, we can see that the partial derivatives of ψ and φ with respect to x and y are equal. Therefore, the condition for continuity, which requires the equality of partial derivatives, is satisfied.
To show irrotational flow, we need to verify that the curl of the velocity vector is zero. The velocity vector can be obtained from the stream function ψ and velocity potential φ as follows:
V = ∇φ x ∇ψ
Taking the curl of V:
∇ x V = ∇ x (∇φ x ∇ψ)
Using vector calculus identities and simplifying the expression, we find:
∇ x V = 0
Since the curl of the velocity vector is zero, the condition for irrotational flow is satisfied.
Therefore, based on the calculations and verifications, we can conclude that the given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.
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Help please!! I need this answer!!
Answer: Store B and C sell at a lower unit price.
Step-by-step explanation:
Store B: $3.48/3 = $1.16 per pound.
Store C: $3.80/4 = $0.95 per pound.
how is 15×3/5 = 9
the slash is for the fraction
Answer:15x3 /=divide 5 = 9
Step-by-step explanation:
because if you do 15x3 it is 45 then you divide it by 5 and get 9 as your answer!
2 apples cost 2 dabloons.
How much does 1 apple cost
awnser
what is 1+1/0=x
Answer:
0
Step-by-step explanation:
Answer:
x = 1
Step-by-step explanation:
1 + 1/0 = x
-1
1/0 = x
x0
1 = x
Backwards PEMDAS where each thing you do backwards cancles itself out.
Joe is building a post for his mailbox. To find the correct dimensions, he needs to expand this expression:
Answer:
c.) \(x^{3} -16x^{2} +75x-108\)
Step-by-step explanation:
Check the attachment.
I need someone to help me with this question quickly please
The triangle's other two sides measure roughly 11.02 and 6.89.
We can use the trigonometric ratios for right triangles to solve this problem. Let's denote the length of side AB as x and the length of side AC as y.
Using the definition of sine and cosine functions, we have:
sin(A) = opposite / hypotenuse
cos(A) = adjacent / hypotenuse
Since angle B is 90 degrees, sin(B) = 1 and cos(B) = 0. Using these ratios and the given information, we can set up two equations:
sin(A) = x/13
cos(A) = y/13
Substituting A = 58 degrees and simplifying, we get:
x/13 = sin(58) = 0.8480
y/13 = cos(58) = 0.5299
Multiplying both sides of each equation by 13, we can solve for x and y:
x = 0.8480 * 13 ≈ 11.02
y = 0.5299 * 13 ≈ 6.89
Therefore, the other two sides of the triangle are approximately 11.02 and 6.89.
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PLEASE HELP ME WILL. MARK BRAINLIEST!
Answer: C: 0.4
Step-by-step explanation:
1/5 is 0.2 and double that is 0.4 since there are 2 half hours in an hour :)
Suppose a sheet of 100 stamps is 0.91 millimeters thick. If a stack of sheets contains 100,000 stamps, how many millimeters thick is the stack? Write the answer in scientific notation.
Answer:
9.1 x 10²
Step-by-step explanation:
build a generating function for ar, the number of r selections from: (a) five different boxes with at most five objects in each box. (b) four different boxes with between three and six objects in each box. (c) seven different boxes with at least one object in each box (d) three different boxes with at most 5 objects in the first box
(a) The generating functions together r times:\(\(f(x) = (1 + x + x^2 + x^3 + x^4 + x^5)^5\)\)
(b) \(\(f(x) = (x^3 + x^4 + x^5 + x^6)^4\)\)
(c) \(\(f(x) = (\frac{x}{1-x})^{7r}\)\)
(d) \(\(f(x) = (1 + x + x^2 + x^3 + x^4 + x^5)^3\)\)
(a) To build a generating function for selecting r items from five different boxes with at most five objects in each box, we can consider each box as a separate generating function and multiply them together.
The generating function for selecting objects from the first box is:
\(\(1 + x + x^2 + x^3 + x^4 + x^5\)\)
Similarly, for the second, third, fourth, and fifth boxes, the generating functions are the same:
\(\(1 + x + x^2 + x^3 + x^4 + x^5\)\)
To select r items, we need to choose a certain number of items from each box.
Therefore, we multiply the generating functions together r times:
\(\(f(x) = (1 + x + x^2 + x^3 + x^4 + x^5)^5\)\)
(b) To build a generating function for selecting r items from four different boxes with between three and six objects in each box, we need to consider each box individually.
The generating function for selecting objects from the first box with three to six objects is:
\(\(x^3 + x^4 + x^5 + x^6\)\)
Similarly, for the second, third, and fourth boxes, the generating functions are the same:
\(\(x^3 + x^4 + x^5 + x^6\)\)
To select r items, we multiply the generating functions together r times:
\(\(f(x) = (x^3 + x^4 + x^5 + x^6)^4\)\)
(c) To build a generating function for selecting r items from seven different boxes with at least one object in each box, we need to subtract the case where no items are selected from the total possibilities.
The generating function for selecting objects from each box with at least one object is:
\(\(x + x^2 + x^3 + \ldots = \frac{x}{1-x}\)\)
Since we have seven boxes, the generating function for selecting from all seven boxes with at least one object is:
\(\((\frac{x}{1-x})^7\)\)
To select r items, we multiply the generating function by itself r times:
\(\(f(x) = (\frac{x}{1-x})^{7r}\)\)
(d) To build a generating function for selecting r items from three different boxes with at most five objects in the first box, we can consider each box separately.
The generating function for selecting objects from the first box with at most five objects is:
\(\(1 + x + x^2 + x^3 + x^4 + x^5\)\)
For the second and third boxes, the generating functions are the same:
\(\(1 + x + x^2 + x^3 + x^4 + x^5\)\)
To select r items, we multiply the generating functions together r times:
\(\(f(x) = (1 + x + x^2 + x^3 + x^4 + x^5)^3\)\)
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HELPPP ROUND TO THE NEAREST TENTH
Kai says Figure B is a scaled copy of Figure A
because the lines are half as long.
Figure A
Figure B
YY
According to question here we can use Arithmetic Operations
(a) 7\(\times\) 7=49
(b) 2 \(\times\) 24=48
(c) 30 ÷ 3=10
(d) 16 +8=24
A subject of mathematics known as arithmetic operations deals with the study and application of numbers in all other areas of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
We frequently employ these fundamental mathematical operations in our daily lives: +, -,, and. We employ mathematical operations for any situation when we must determine the annual budget or distribute things equitably to a lot of people.
Addition and subtraction are inverse operations of each other. This indicates that if two numbers are joined together to get a third number, then subtracting an additional number from the third number will produce the original number.
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Select the graph of the solution. Click until the correct graph appears.
|x| + 1 < 3
Answer:
Graph B
Step-by-step explanation:
First, simplify by subtracting 1 on both sides.
|x| + 1 - 1 < 3 - 1
|x| < 2
Using the absolute value definition, we know the inequalities are:
x < 2
-x < 2
Divide both sides by -1.
x < -2
If you multiply or divide both sides of an inequality by a negative number, you must flip the sign.
x > -2
x<2, x>-2
Graph B
Answer:
Graph A
Step-by-step explanation:
if x ≥ 0
x + 1 < 3
x < 3 - 1
x < 2
0≤ x < 2
if x < 0
-x + 1 < 3
-x < 3 - 1
-x < 2
x > -2
-2 < x < 0
Final solution
-2 < x < 2
I need some help with this question!
You are building a square table. You put a diagonal support on the underside of the tabletop. The diagonal support is 3 meters long. What is a side length of the square table? Round to the nearest tenth, if necessary.
Answer:
2.1
Step-by-step explanation:all side lengths are the same (duh) use 4 and 3 (4 bc there is 4 sides). 4 as the diagonal support
4²=16
3²=9
16-9=7 then use square root for 7 the square root of 7 is 2.6457513111 or 2.1
PLEASEEEE HELPPP! This is urgant
Answer:
A
Step-by-step explanation:
let me know if you want a more detailed explanation but since it's urgent here's the answer.
---------------pt2
well the question wants us to create an equation to show Sabra's monthly spending in her two clubs. so for the first club it says she pays 8.50 flat (meaning its a downpayment so she pays once and that's it) and then she pays 6.25 monthly meaning she must pay this membership fee every month. and so here what you do to create the equation is put down the flat 8.50 first and then you have to add on the amount she pays per monthly which is 6.25 but we don't know how many months she is going to go to this club for so we have to multiply the 6.25 fee by x (just a variable commonly used for an unknown value) so therefore for our first club we have the equation 8.50+6.25x
and if we do the same process for the second club we will get
12+3.75x
and we multiply the monthly fee by the x (for the months) because she must pay this fee every single month so we multiply. and that is how you get your answer!
hope this helps, have a great day!
Choose one answer and explain your choice: Suppose A and B are
disjoint events. Are A and B independent
events? i) Yes
ii) No
iii) It depends.
If A and B are disjoint events, then the probability of A or B is the sum of their individual probabilities. However, this does not necessarily mean that A and B are independent events.
If A and B are independent events, then the probability of both A and B occurring is the product of their individual probabilities. However, if A and B are disjoint, then the probability of both A and B occurring is zero. Therefore, A and B cannot be independent if they are disjoint events.Hence, the correct answer is (ii) No. A and B are disjoint events, which means that they do not have any outcomes in common. If A and B are independent events, then the occurrence of one event will not affect the occurrence of the other event. If A and B are not independent events, then the occurrence of one event will affect the occurrence of the other event.
Since A and B are disjoint events, they cannot be independent events. If A and B are independent events, then they cannot be disjoint events. Hence, the correct answer is (ii) No
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A single conservative force F(x) acts on a 1.0kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is given by U(x)=−4xe −x/4 J, where x is in meters. At x=5.0m the particle has a kinetic energy of 2.0J. (a) What is the mechanical energy of the system? (b) Make a plot of U(x) as a function of x for 0≤x≤10m, and on the same graph draw the line that represents the mechanical energy of the system. Use part (b) to determine (c) the least value of x the particle can reach and (d) the greatest value of x the particle can reach. Use part (b) to determine (e) the maximum kinetic energy of the particle and (f) the value of x at which it occurs. (g) Determine an expression in newtons and meters for F(x) as a function of x.(h) For what (finite) value of x does F(x)0?
The mechanical energy of the system is the sum of the kinetic energy and potential energy. By substituting the given values, the mechanical energy can be calculated.
To calculate the mechanical energy, we sum the given kinetic energy (KE = 2.0 J) with the potential energy (U(x=5.0)) obtained by substituting x=5.0 into the potential energy equation U(x)=-4x*e^(-x/4). The mechanical energy is the sum of these two quantities. Plotting U(x) as a function of x for 0 ≤ x ≤ 10 m involves substituting different values of x into the potential energy equation and plotting the corresponding points on a graph. The mechanical energy line represents a constant value on the y-axis and can be drawn parallel to the x-axis.
The expression for the conservative force F(x) can be derived from the negative derivative of the potential energy function U(x) with respect to x. Taking the derivative and negating it will give the expression for F(x). To find the finite value of x at which F(x) equals zero, we locate the points where the potential energy curve crosses the x-axis. These points correspond to the positions where the force becomes zero.
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A negative number is raised to an even exponent. The result is
zero
one
O positive
negative
Answer:
positive I guess that's the answer
Answer:
positive
Step-by-step explanation: