Answer:
m
Step-by-step explanation:
m
Answer:
There were 140 robberies in Springfield in 2012.
Step-by-step explanation:
Let's marked (named) robberies in 2012 with x, which is worth 100%
196 robberies in 2013 worth 100% + 40% = 140%
Now we will make proportion
x : 196 = 100 : 140
When we multiply external and internal members we get
140 x = 196 · 100 => 140 x = 19600 => x = 19600/140 = 140
x = 140 robberies in 2012
can someone help me
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Explanation:
Let's find the slope of the table. This will tell us the rate of change.
m = slope
m = (y2-y1)/(x2-x1)
m = (25250 - 26375)/(2 - 1) .... I used the first two rows
m = -1125/1
m = -1125
The slope of -1125 means the plane's altitude is decreasing at a rate of 1125 feet per minute. This is the descent speed.
Since we're told the initial altitude was 27500 ft, this means b = 27500
This means y = mx+b turns into y = -1125x+27500
x is the number of minutes and y is the altitude at time x
As a way to check this, plug in various x values of the table. You should get corresponding y values that match the table. I'll let you do this part.
------------------
Now plug in y = 16250 and solve for x
y = -1125x+27500
16250 = -1125x+27500
-1125x+27500 = 16250
-1125x = 16250-27500
-1125x = -11250
x = -11250/(-1125)
x = 10
It takes 10 minutes after the descent period has started, for the pilot to get to 16,250 ft.
Since the pilot was contacted at the x = 4 minute mark, this means 10-4 = 6 minutes is the duration needed for the pilot to go from 23,000 ft to 16,250 ft.
Solve 2(1-x)>2x
X<0.5
X<2
X>2
X>0.5
Answer:
x < 0.5
Step-by-step explanation:
2(1 - x) > 2x ( divide both sides by 2 )
1 - x > x ( add x to both sides )
1 > 2x ( divide both sides by 2 )
0.5 > x , that is
x < 0.5
Does anyone know the correct synthetic division of (x^2 – 4x + 7) ÷ (x – 2)?
HELP PLS I NEED THIS IF YOU DONT KNOW DONT ANSWER
Answer:
19%
Step-by-step explanation:
create the formula :
P(A+B) / P(B)
meaning :
probability of getting a large cold drink / getting a large drink
= 5/(5+22)
= 5/27
=5/27 * 100
=18.518
to the nearest percentage = 19 %
nots : GIVEN THAT --- indicates a criteria - this is put as a denominator
If false, give a reason.if we know the first and second terms of an arithmetic sequence, then we can find any other term.
a. True
b. False
The correct option is a. True.
If we know the first and second terms of an arithmetic sequence, then we can find any other term. is a true statement.
What is arithmetic sequence?An arithmetic sequence would be the sequence in which the common difference between any two succeeding terms remains constant. Let us review what a sequence is.
A sequence is a pattern-following collection of numbers. A sequence 1, 6, 11, 16,..., for example, would be an arithmetic sequence since each number is formed by addition 5 to its previous term. We have two formulas for arithmetic sequences.The formula for determining the nth term in an arithmetic sequence.The formula for calculating the sum of an arithmetic sequence's first n termsOne can employ the arithmetic sequence method to discover any term inside the arithmetic sequence.An arithmetic sequence's first term is a, whose common difference is d, and n represents the number of terms. The AP's general form is a, a+d, a+2d, a+3d, and so on up to n terms.To know more about arithmetic sequence, here
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Calculate the missing angle and give a reason for your answer
Answer:
b° = 113°
Step-by-step explanation:
b°and 67° are same-side interior angles
So, b° + 67° = 180°
b° = 180°- 67°
b° = 113°
What is the value of -2 to the power of 4
We can find the value if we write the complete expression:
\((-2)^4=(-2)\cdot(-2)\cdot(-2)\cdot(-2)\)Considering only two factors at a time, and knowing that - * - = +, we have:
\((-2)\cdot(-2)\cdot(-2)\cdot(-2)=4\cdot4=16\)Therefore, (-2)^4 = 16
Answer:
-16!!
-2x-2x-2x-2= -16.
Q1: Use simple exponential smoothing with a = 0.75 to forecast the water pumps sales for February through May. Assume that the forecast for January was for 25 units. [4 marks) Month January February March April Air-condition sales 28 72 98 126
Therefore, using simple exponential smoothing with a = 0.75, the forecast for water pump sales for February through May are:- February: 26.5 units, March: 37.63 units, April: 72.66 units.
To use simple exponential smoothing with a = 0.75, we first need to calculate the forecast for January:
F1 = 25 (given)
Next, we calculate the forecast for February using the formula:
F2 = a * Y1 + (1 - a) * F1
F2 = 0.75 * 28 + 0.25 * 25
F2 = 26.5 (rounded to one decimal place)
We repeat this process for each month, using the previous month's forecast and the actual sales data for the current month. The results are as follows:
Month Actual Sales Forecast
-------------------------------------
January 28 25
February 72 26.5
March 98 37.63
April 126 72.66
- May: 101.17 units
Hi, I'd be happy to help you with your question. To use simple exponential smoothing with a smoothing constant α = 0.75 to forecast the water pump sales for February through May, given that the forecast for January was 25 units, follow these steps:
Step 1: Start with the given forecast for January, which is 25 units.
Step 2: Calculate the forecast for February using the formula:
Forecast_February = α * (Actual_January) + (1 - α) * Forecast_January
Step 3: Calculate the forecast for March using the formula:
Forecast_March = α * (Actual_February) + (1 - α) * Forecast_February
Step 4: Calculate the forecast for April using the formula:
Forecast_April = α * (Actual_March) + (1 - α) * Forecast_March
Step 5: Calculate the forecast for May using the formula:
Forecast_May = α * (Actual_April) + (1 - α) * Forecast_April
Please note that you have provided sales data for air-conditioning sales, but the question is about water pump sales. If you meant to ask about air-conditioning sales, you can use the given sales data to calculate the forecasts for February through May. If you need help with water pump sales, please provide the correct sales data for January through April, and I will gladly help you with the calculations.
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Label the rotated image PQR. Let P represent A'. Q represent B', and R represent C.
If x > 0, what values of c and d make the equations true?
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
Equation A
\(\sqrt[]{448x^c}=8x^3\sqrt[]{7x}\)Equation B
\(\sqrt[3]{576x^d}\text{ = 4x}\sqrt[3]{9x^2}\)two factory plants are making tv panels. yesterday, plant a produced 12,000 panels. three percent of the panels from plant a and 10% of the panels from plant b were defective. how many panels did plant b produce, if the overall percentage of defective panels from the two plants was 6%? numberofpanelsproducedbyplantb:12000
The percentage of defective panels from the two plants was 6% number of panels produced by plant are 6000.
Let x be the quantity of tv panels that the Company B produced. It is said on this object that 10% of those panels are faulty.
The quantity of faulty panels from Company B is consequently identical to 0.020x.With the illustration above, the entire quantity of panels produced with the aid of using the 2 corporations is identical to 12000 + x. The percent of general faulty panels to the entire panels produced may be expressed via the equation, ((12000)(0.02) + 0.010x) / (12000 + x) )(100)= Dividing the equation with the aid of using 100 (240 + 0.010x) / (12000 + x) = 0.06Cross-multiplying the denominator of the left-hand facet to the proper hand facet of the equation,240 + 0.010x = 360 + 0.06xTransposing like terms, 0.02x = 120Dividing the equation with the aid of using 0.02. x = 6000Read more about panel:
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A rectangular patio is 9 ft by 6 ft. when the length and width are increased by the same amount, the area becomes 88 sq ft. ginger is using the zero product property to solve the equation (6 x)(9 x) = 88. what does the value of x in her solutions represent?
Answer:
x=2
9+2=11
6+2=8
8x11+88
Step-by-step explanation:
Joey likes beer and whisky and spends £75 in total on drink. His utility function for whisky (w) and beer (b) is = 5 + .
He can buy beer at £2 a can but the liquor store tries to discourage overconsumption of spirits by charging higher prices for larger quantities: the cost in dollars of bottles of whisky works out at !.
a. How many cans of beer and how many bottles of whisky does Joey consume?
b. Illustrate your answer with a clearly labelled diagram showing Joey's budget constraint and his indifference curve passing through the optimal consumption bundle.
c. Joey's friend Ross shops at the same liquor store and spends the same amount on drink. Jim, however, insists on drinking beer and whisky together. His utility function is = min{5, } How much beer and whisky does Jim buy?
To answer the questions, we need to understand the utility functions and budget constraints for both Joey and Jim. Let's break it down step by step:
Joey's Utility Function and Budget Constraint:
Joey's utility function for whisky (w) and beer (b) is given by: U(w, b) = 5 + (w^0.3 * b^0.7)
w: The quantity of whisky (in bottles) consumed by Joey
b: The quantity of beer (in cans) consumed by Joey
Joey spends £75 in total on drink. The cost of beer is £2 per can, and the cost of whisky is £6 per bottle.
To find how many cans of beer and bottles of whisky Joey consumes, we need to maximize his utility function while staying within his budget constraint.
Joey's Budget Constraint:
Joey's total expenditure on drink (E) is given by: E = 2b + 6w
And we know that E = £75.
So, the budget constraint is: 2b + 6w = 75
Now, we can solve this problem using optimization techniques. However, without specific numerical values for the utility function and budget constraint, it's not possible to determine the exact quantities of beer and whisky consumed by Joey. We can only find the optimal consumption bundle if the specific values are given.
Joey's Indifference Curve and Budget Constraint Diagram:
To illustrate Joey's optimal consumption bundle, we would need to plot his indifference curve (representing his preferences) and his budget constraint (showing all possible affordable combinations of beer and whisky). However, without the exact values, we cannot draw the diagram.
Jim's Utility Function and Consumption:
Jim's utility function for beer (b) and whisky (w) is given by: U(b, w) = min{5, (w^0.3 * b^0.7)}
Jim's utility function shows that he insists on drinking beer and whisky together, and his utility is the minimum of 5 and the product of whisky and beer raised to certain powers.
Again, without specific numerical values for the utility function, we cannot determine the exact quantities of beer and whisky consumed by Jim.
In summary, to fully answer the questions, we would need the specific numerical values for the utility function and the budget constraint. With those values, we could then calculate the optimal consumption bundles for both Joey and Jim.
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16 cm to 44.2 cm increase or decrease
Answer:
Increase
Step-by-step explanation:
Answer:
Increase.
Step-by-step explanation:
44.2cm is a higher number than 16cm.
What do these values indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a population?
Because the sample statistic centers around a different value than the population parameter, the sample mean absolute deviation is a biased estimator of the population mean absolute deviation.
Reason Behind a Biased Estimator
The expected value (average) of all the sample absolute deviations must match the population absolute deviation in order for the absolute deviation to function as an unbiased estimator. It does not, however, which makes the values of sample mean absolute deviation behave as a biased estimator.
Brief Description of Sample Mean Absolute Deviation
The average of the absolute deviations from a central point makes up the average absolute deviation of a data collection. It is a statistical summary of statistical variability or dispersion.
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Question 3 The Schwarzschild metric is given by 2M 2M ds² -(₁-²M) di² + (1-²¹)- 1- dr² +r² (d0² + sin² 0 dó²). There are Killing vectors associated with time invariance and angular momen- tum invariance in the direction in this geometry leading to the conserved quantities e = (1-2) and l= r² sin² 0 dr From this one can derive an analog to the radial energy equation in Newtonian mechanics by orienting the coordinates so that the orbits are confined to the equatorial plane where 0 = π/2 and u = 0. One finds 2 1 dr + Veff (r) = E 2 dr (e²_ -1) where E = and Veft(r) = - + 2/²/²2 - Mp³². Further, for circular orbits one can show that M | [₁ + √/₁−12 (+1)]. r+= | 2M Finally, for circular orbits of radius R do 1/2 M dt R³ (a) Which value of r corresponds to the Schwarzschild radius of stable circular orbits: r or r? Justify your answer. [3 marks] (b) Show that for circular orbits of radius R do 1/2 M -1/2 3M (²) ¹² (1-³) dT R³ R where is the proper time. [6 marks] (c) A free particle is moving in a circular orbit around a spherical source of curvature of mass M. The Schwarzschild radius of the orbit is 8M. Use the equivalence principle to argue that the period as measured at infinity should be larger than that measured by the particle. [4 marks] (d) Find the period of the orbit as measured by an observer at infinity. Find the period of the orbit as measured by the particle. [7 marks] M
(A) Circular orbits of stable particles are possible at radii greater than three times the Schwarzschild radius for the non-rotating spherically symmetric mass.
This represents the radius of a black hole's event horizon, within which nothing can escape. The Schwarzschild radius is the event horizon radius of a black hole with mass M.
M can be calculated using the formula: r+ = 2Mwhere r+ is the radius of the event horizon.
(B) 1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ R. This is the required expression.
Tau is the proper time of the particle moving around a circular orbit. Hence, by making use of the formula given above:1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ dt.
(C) Time passes differently in different gravitational fields, and it follows that the period as measured at infinity should be larger than that measured by the particle.
The principle of equivalence can be defined as the connection between gravitational forces and the forces we observe in non-inertial frames of reference. It's basically the idea that an accelerating reference frame feels identical to a gravitational force.
(D) The period of the orbit as measured by an observer at infinity is 16π M^(1/2) and the period of the orbit as measured by the particle is 16π M^(1/2)(1 + 9/64 M²).
The period of orbit as measured by an observer at infinity can be calculated using the formula: T = 2π R³/2/√(M). Substitute the given values in the above formula: T = 2π (8M)³/2/√(M)= 16π M^(1/2).The period of the orbit as measured by the particle can be calculated using the formula: T = 2π R/√(1-3M/R).
Substitute the given values in the above formula: T = 2π (8M)/√(1-3M/(8M))= 16π M^(1/2)(1 + 9/64 M²).
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7. Ifa = 3an * db = - 2 . find the values of: (a + b)ab
The Values of (a+b)ab are undefined.
Given that, a = 3an and db = -2We need to find the values of (a+b)
Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1
From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),
we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0
Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined
Therefore, the values of (a+b)ab are undefined.
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x + (-13)= -5 what is the solution to the following equation
Answer:
Adding 13 to both sides we get x = 8.
Answer:
x = 8
Step-by-step explanation:
x - 13 = -5
x = 8
Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2.
Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2.
Solution:\( - 10 - ( - 2) = \boxed{ - 8}\)
\( - 8 - ( - 2) = \boxed{ - 6}\)
\( - 6 - ( - 2) = \boxed{ - 4}\)
\( - 4 - ( - 2) = \boxed{ - 2}\)
\( - 2 - ( - 2) = \boxed{0}\)
\(0 - ( - 2) = \boxed{2}\)
\(2 - ( - 2) = \boxed{4}\)
\(4 - ( - 2) = \boxed{6}\)
\(6 - ( - 2) = \boxed{8}\)
Answer:-10, -8, -6, -4, -2, 0, 2, 4, 6, 8
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Sin(x+4)=cos(4x-9)
How do you solve this?
A tree casts a shadow of 15 meters, while a 2-meter post nearby casts a shadow of 3 meters. How tall is the tree
The tree is 10 meters tall.
To find the height of the tree, we can use the concept of similar triangles. The ratio of the height of the tree to the length of its shadow should be equal to the ratio of the height of the post to the length of its shadow, since they are both located in the same plane and are being illuminated by the same light source.
Let's use proportions to solve this problem. We can set up the proportion:
height of tree / length of tree's shadow = height of post / length of post's shadow
Let h be the height of the tree. Then we have:
h / 15 = 2 / 3
Cross-multiplying, we get:
3h = 30
h = 10
Therefore, the tree is 10 meters tall.
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please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Step-by-step explanation:
cos F = HF/FG
cos 52° = x/(4.3)
0.6 = x/4.3
=> x = 4.3 × 0.6
x = 2.58
so the length of HF = 2.58 = 2.6 ft
Determine the number of terms, n, given the geometric series 1 3 9 27 ... and sn=3280.
The number of terms, 'n' is 8
How to determine the number of termsLet's determine the common ratio;
common ratio, r = 3/1 = 3
The formula for sum of geometric series with 'r' greater than 1 is given as; Sn = a( r^n - 1) / (r - 1)
n is unknown
Sn = 3280
Substitute the value
3280 = 1 ( 3^n - 1) / 3- 1
3280 = 3^n -1 /2
Cross multiply
3280 × 2 = 3^n - 1
6560 + 1 = 3^n
6561 = 3^n
This could be represented as;
3^8 = 3^n
like coefficient cancels out
n = 8
Thus, the number of terms, 'n' is 8
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find the minimum sum of products expression using quine-mccluskey method of the function . (30 points)
The Quine-McCluskey method is a technique used for minimizing the sum of products expression in Boolean algebra. It helps simplify logic functions by reducing the number of terms and variables.
To find the minimum sum of products expression using the Quine-McCluskey method, you need to follow these steps: Convert the given function into a truth table.
Group the minterms based on the number of 1s in their binary representation. Compare the groups to identify adjacent minterms that differ by only one bit.
Combine the adjacent minterms to create larger groups.
Repeat the grouping and combining process until no more combinations can be made.
Write the simplified Boolean expression using the resulting groups.
Since the function and its specific variables are not provided in the question, it is not possible to provide a specific solution. However, by applying the Quine-McCluskey method to the given function, you can simplify the expression and obtain the minimum sum of products form.
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PLZ HELP ME WITH THIS IT IS SO CONFUSING ON 10 MINUTES LET PLZZZ ILL GVE BRAINLIEST
Answer:
f = 3x^2+ 1 / x
Step-by-step explanation:
Let's solve for f.
fx=3x2+1
Step 1: Divide both sides by x.
fx / x = 3x^2+1 / x
f= 3x2+1 / x
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = 3x² + 1
To obtain f(- 1) substitute x = - 1 into f(x) , that is
(8)
f(- 1) = 3(- 1)² + 1 = 3(1) + 1 = 3 + 1 = 4
(9)
Similarly
f(0) = 3(0)² + 1 = 3(0) + 1 = 0 + 1 = 1
(10)
Given
f(x) = 3x² + 1 and f(x) = 49, then equate right sides
3x² + 1 = 49 ( subtract 1 from both sides )
3x² = 48 ( divide both sides by 3 )
x² = 16 ( take the square root of both sides )
x = ± \(\sqrt{16}\) = ± 4
That is x = - 4 or x = 4
a nurse manager approves two staff nurses to attend a national conference
The nurse manager approves two staff nurses to attend a national conference.
The nurse manager has given their authorization or consent for two staff nurses to participate in and attend a national conference. This decision indicates that the nurse manager recognizes the value and relevance of the conference for professional development and sees the benefit of the staff nurses' participation. By approving their attendance, the nurse manager demonstrates support for their growth, learning, and exposure to new knowledge, experiences, and networking opportunities available at the conference.
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Rebecca has put a rectangular
vegetable garden in her backyard. The garden is 16 ft and 11 ft
What is the area of Rebecca’s garden
in square feet?
Answer:
176 ft squared
Step-by-step explanation:
Answer:
the answer is 175 like his or her
Round 275,198 to the nearest hundred thousand.
Answer:
300,000
Step-by-step explanation:
for the functions w= xy + yz + xz, x= u + 2v, y= u - 2v and z= uv, express dw/du and dw/dv using the chain rule and by expressing w directly in terms of u and v before differentiating. then evaluate dw/ du and dw/dv at the point (u, v) = (-1/3, -3)
At the point (u, v) = (-1/3, -3), dw/du = 25 and dw/dv = 11 + 1/9.
We have,
w = xy + yz + xz
x = u + 2v
y = u - 2v
z = uv
First, put the expressions for x, y, and z into the equation for w:
w = (u + 2v)(u - 2v) + (u - 2v)(uv) + (u + 2v)(uv)
w = u² -4v² + u²v - 2uv² + uv² + 2uv²
w= 2u² + u²v - 2v² + 3uv²
Now, let's differentiate w with respect to u and v.
dw/du = d(2u² + u²v - 2v² + 3uv²)/du
= 4u + 2uv + 3v^2
dw/dv = d(2u² + u²v - 2v² + 3uv²)/dv
= -4v + u^2 - 4uv + 6uv
Now, we can evaluate dw/du and dw/dv at the point (u, v) = (-1/3, -3):
dw/du = 4(-1/3) + 2(-1/3)(-3) + 3(-3)²
= -4/3 + 2/3 + 27
= 25
and, dw/dv = -4(-3) + (-1/3)² - 4(-1/3)(-3) + 6(-1/3)(-3)
= 12 + 1/9 + 4 - 6
= 11 + 1/9
Therefore, at the point (u, v) = (-1/3, -3), dw/du = 25 and dw/dv = 11 + 1/9.
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PLEASE ANSWER THIS FOR ME!!!!!!!!!!!!
Answer:
It's the option on the bottom right corner.
Step-by-step explanation:
5,000,000,000 has 9 zeros. so look at the option that has 9 zeros.