The total number of electoral votes for Florida is equal to 27 electoral votes.
How to write an equation to model this situation?In order to write a linear equation to describe this situation, we would a assign variable to the total number of electoral votes for Florida and the total number of electoral votes for North Carolina, and then translate the word problem into a linear equation as follows:
Let the variable x represent the the total number of electoral votes for Florida.Let the variable y represent the the total number of electoral votes for North Carolina.Since North Carolina has 12 less electoral votes than Florida, a linear equation that can be used to model this situation is given by;
y = x - 12
15 = x - 12
x = 15 + 12
x = 27 electoral votes.
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Complete Question:
North Carolina has 12 less electoral votes than Florida. Write and solve a subtraction equation to find the total number of electoral votes for Florida when North Carolina has 15 votes.
Solve for u. -24 = u ÷ 6
U=
Answer: Um, the answer is U= –144.
Step-by-step explanation:
I need help ASAP. Thanks for ur help
help me pls help help helppp
Answer:
£817600
Step-by-step explanation:
4÷100=20
20÷4600=320
7×365 it means 1 year=2555
2555×320=£817600
There are 42 runners in a race. How many different ways can the runners finish first, second, and third?
Answer:
There are 68,640 different ways the runners can finish first, second, and third in the race.
Concept of Permutations
The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.
Brief Overview
Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.
Calculations
To calculate the total number of different ways, we multiply the number of choices for each position:
42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.
Concluding Sentence
Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.
Select all the expressions that are equivalent to 7x7^2
A. 7^2
B. 7^2/7
C. (7^3)^1
D. 1/7^3
The equivalent expression to 7×7² is C. (7³)¹.
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
Given, An exponential expression 7×7².
Now, We know 7×7² = 7¹⁺² = 7³.
It can also be written as (7³)¹.
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The function f(x) = –0. 3(x – 5)2 5 is graphed. What are some of its key features? Check all that apply. The axis of symmetry is x = 5. The domain is {x| x is a real number}. The function is increasing over (–[infinity], 5). The minimum is (5, 5). The range is {y| y ≥ 5}.
You can use the fact that (x-5) is squared. And that it is defined everywhere.
The options that apply here are:
Option A: The axis of symmetry is x = 5
Option B: The domain is {x|x is a real number}
Option C: The function is increasing over(-inf, 5)
Given function is: \(y = -0.3(x - 5)^2 + 5\)
How to analyze the given function?
To analyze a function, we need to see what values are allowed, where does output maps to, and how does the graph might look etc.
Since the function includes (x-5) squared, thus we have:
\(f(x) = -0.3(x-5)^2 + 5 = -0.3(5-x)^2 + 5\)
This shows that graph of f(x) for x > 5 is symmetric to graph of f(x) for x<5. Thus, the function is symmetric over x = 5 line(a vertical line drawn at x = 5) (it is symmetric since if suppose x is 5+k then we will have x -5 = k. And if x = 5-k, then x-5 = -k but squared (x-5) will treat both k and -k same, thus symmetric.)
Since the function is defined everywhere(it can take any finite value and output finite defined value), thus its domain is real numbers or {x|x is a real number}
Using derivatives of given function(denote it by y)At x = 5, first rate y' is 0. Since at x = 5, y'' is -ve(it is negative on all x), thus at x = 5, we have maximum value of function. The output is 5 too, thus at (5,5) the function is at maximum.
For x < 5, we have y' positive, thus rate is positive or function is increasing from (-inf, 5)
Since the function outputs value smaller than 5 too (for example, at x = 4, the value of function is 4.7, thus its range is not {y|y ≥ 5}
Thus, the following options apply here:
Option A: The axis of symmetry is x = 5Option B: The domain is {x|x is a real number}Option C: The function is increasing over(-inf, 5)Learn more about maxima and minima here:
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____ inches of water will cause tires to lose traction and make them slide.
The blank in the statement refers to a specific number and is dependent on various factors such as tire type, vehicle weight, and road surface conditions.
However, in general, hydroplaning, which occurs when a layer of water prevents direct contact between the tire and the road surface, can occur with as little as 0.1 inch of standing water on the road.
what is number?
A number is a mathematical concept used to count, measure, and label. It can be used to represent quantity, order, position, and more. Numbers can be positive, negative, or zero, and they can be whole or fractional. The most commonly used types of numbers are integers, rational numbers, real numbers, and complex numbers.
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Bernie, the saint bernard, can run for a max of 45 minutes. If he ran 4 feet per minute for 45
minutes, how far did Bernie run?
Answer:
Step-by-step explanation:
45 + 45 = 90
45 + 45 = 90
90 + 90 = 180
Mr. Chan pays $8 to fill a 2-gallon can with gas for his lawn mower. At this rate, how
much will Mr. Chan pay to put 13 gallons of gas in his car?
A. $104.00
B. $52.00
C. $26.00
D. $3.25
Answer: b. $52.00
Step-by-step explanation:
How many sides does a rectangular pyramid
Answer:
Step-by-step explanation:
A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.
≧◉◡◉≦
How do you solve a 3 by 3 system of equations using matrices?
The solutions can be read off of the diagonal entries in the reduced matrix.
To solve a 3 x 3 system of equations using matrices, first we need to create the augmented matrix for the system of equations. The augmented matrix contains the coefficients of the variables and the constants for each equation on each row. Then we can use row operations to reduce the augmented matrix to reduced row-echelon form. This can be done by adding or subtracting rows to each other, multiplying or dividing a row by a non-zero number, and swapping two rows. After reducing the matrix to row-echelon form, we can back-substitute the solutions to the system of equations. The solutions can be read off of the diagonal entries in the reduced matrix. For example, if the matrix is reduced to the form [a b c d e f g h i] then the solution to the system of equations is x = d/a, y = e/b, and z = f/c.
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I have so much trouble with these please help ?
To solve this question using the addition/elimination method, follow the steps below.
Step 01: Multiply the first equation by 2.
\(\begin{gathered} (5x-2y)\cdot2=3\cdot2 \\ 5x\cdot2-2y\cdot2=6 \\ 10x-4y=6 \end{gathered}\)Step 02: Add both equations to eliminate y.
\(\begin{gathered} +10x-4y=6 \\ -3x+4y=1 \\ 7x+0=7 \\ 7x=7 \end{gathered}\)Step 03: Isolate x in the equation above.
To do it, divide both sides by 7.
\(\begin{gathered} \frac{7x}{7}=\frac{7}{7} \\ 1x=1 \\ x=1 \end{gathered}\)Step 04: Choose one equation to substitute x by 1 and find y.
Choosing the first equation:
\(\begin{gathered} 5x-2y=3 \\ 5\cdot1-2y=3 \\ 5-2y=3 \end{gathered}\)Subtracting 5 from both sides, then dividing both sides by -2:
\(\begin{gathered} 5-2y-5=3-5 \\ -2y=-2 \\ \frac{-2}{-2}y=\frac{-2}{-2} \\ y=1 \end{gathered}\)Answer:
x = 1.
y = 1.
Urgent please help..
Answer:
b = 7√3
Step-by-step explanation:
This 30°- 60°- 90° triangle has the proportions:
side opposite of the 30° angle = x
side opposite of the 60° angle = x√3
side opposite of the 90° angle = 2x
____________________________
Given the side opposite of the 30° angle which is 7 units long, this can be thought of as x. Knowing the proportions of the other sides, we can find b knowing that this is the side opposite of the 60° angle which is x√3.
Since x = 7, x√3 = 7√3, and therefore
b = 7√3.
what is 9×10005
1 90,000
2 80,900
3 90,045
Answer:
its 90,045
Step-by-step explanation:
just use a calculator
thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 144 millimeters, and a variance of 49 . if a random sample of 50 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 2.6 millimeters? round your answer to four decimal places.
The answer is 0.0173. And this can be solved by the Central Limit Theorem.
This is a question that can be solved using the Central Limit Theorem. The Central Limit Theorem states that, as the sample size gets larger, the distribution of the sample mean tends to follow a normal distribution.
To answer the question, we need to use the formula for the probability that the sample mean will differ from the population mean by more than 2.6 millimeters. This formula is P(x<μ-2.6) + P(x>μ+2.6), where μ is the population mean and x is the sample mean.
In this case, the population mean is 144 millimeters and the sample mean is 50. Using this formula, we can calculate the probability that the sample mean would differ from the population mean by more than 2.6 millimeters as 0.0173. Rounding to four decimal places, the answer is 0.0173.
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(Need this ASAP) Two chords, AC and BC in a circle with center O, intersect at right angles at point P.AB is equal to the lenth of the raius of the circe.
1. what is the measure of arc AB?
2.what is the value of the ratio arc DC/arc AB? Explain how you arrived at your answer.
The value of the ratio arc DC / arc AB is 3.
This means that arc DC is 3 times longer than arc AB.
To find the measure of arc AB, let's consider the properties of the circle and the chords.
Since AC and BC intersect at right angles at point P, and AB is equal to the radius of the circle, we can conclude that triangle APB is an isosceles right triangle with AP = BP (both are radii).
Therefore, angle APB = angle BPA = 45 degrees.
The measure of arc AB is equal to the measure of the central angle AOB, which is the sum of angles APB and BPA.
So, the measure of arc AB is 45 + 45 = 90 degrees.
To find the value of the ratio arc DC / arc AB, first note that arc DC is the remaining portion of the circle after removing arc AB.
Since the circle has a total of 360 degrees, the measure of arc DC is 360 - 90 = 270 degrees.
Now we can find the ratio:
(arc DC) / (arc AB) = 270 degrees / 90 degrees = 3
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 The measures of the angles of a triangle are shown in the figure below. Solve for x.
46°
34°
x°
Answer:
x = 100
Step-by-step explanation:
180 = 46 + 34 + x
180 = 80 + x
100 = x
i do not know this answer
Answer:
K=(3,6)
Step-by-step explanation:
If you reflect it over the y-axis the first number will change to a positive and the second number will stay the same.
Hope this helps have a great day! :)
I need help with this question....
Solve the variable for 2e=6.8
Answer:
e=3.4
Step-by-step explanation:
Your equation is 2e=6.8
All you have to do is divide both sides by 2 and get that:
e=3.4
The solution for 2e=6.8 is 3.4
What is equation?Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given equation is: 2e=6.8
Divide both by 2, to make the coefficient of e 1.
2e/2=6.8/2
e=3.4
Hence, the solution of the equation is 3.4.
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What is average variable cost formula?
The Average Variable Cost (AVC) Formula is a fundamental concept in economics and business management. It is used to calculate the average cost of producing one unit of a good or service, taking into account only the variable costs of production.
Variable costs are those costs that change with the level of production, such as raw materials and labor. Fixed costs, on the other hand, do not change with the level of production and include expenses such as rent and equipment.
The AVC formula is calculated by dividing the total variable costs of production by the number of units produced. This gives the average cost of producing each unit of the good or service, taking into account only the variable costs.
The value of the AVC formula lies in its ability to help managers and business owners understand the cost structure of their operations. By calculating the average variable cost, they can determine the minimum price they need to charge for their product or service in order to cover their costs and make a profit.
In addition, the AVC formula can be used to compare the efficiency of different production methods. By calculating the AVC for each method, managers can determine which method is the most cost-effective, taking into account only the variable costs.
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Ethan is watering his plants. He starts with a watering can filled with 32 ounces of water, and he pours 3.5 ounces onto each plant. When Ethan finishes watering his plants, he has 14.5 ounces of water left. How many plants does he have? Write and solve an equation to find the answer.
The number of plants Ethan has are 5.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x be the number of plants Ethan has.
Ethan uses 3.5 ounces of water for each plant, so he will use a total of 3.5p ounces of water.
If he starts with 32 ounces of water and ends up with 14.5 ounces
Total of 32 - 14.5 = 17.5 ounces of water.
As given the amount of water used is equal to the amount of water per plant times the number of plants:
3.5x = 17.5
Divide both sides by 3.5
x=5
Hence, , Ethan has 5 plants.
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Two less than the quotient of a number and 3 is 17. What is the number? Let n be the unknown number. The equation is . The number is .
Answer:
the equation is (n/3) - 2 = 17
the number is 57
Step-by-step explanation:
the parenthesis are just there to make sure you know that the denominator is not 3-2, the whole fraction/division problem is subtracted by two.
hope this helped a little bit :))
A man invests in a bank he gets 3% per year compound interest his final balance is £10927.27 after 3 years what was his investment
Answer:
Step-by-step explanation:
Ulse the standard normal distribution or the f-distribution to construct a 95% confidence interval for the population meare Justify your decion, il newter distribution can bo used, explain why. Interpret the results In a randorn sample of 46 people, the mean body mass index (BMI) was 27.2 and the standard devation was 6.0f. Which distribution should be used to construct the confidence interval? Choose the correct answer below. A. Use a 1-distribuition because the sample is random, the population is normal, and σ is uricnown 8. Use a normal distribution because the sample is random, the population is normal, and o is known. C. Use a nomal distribution because the sample is random, n≥30, and α is known. D. Use a t-distribution because the sample is random, n≥30, and σ is unknown. E. Neither a normal distribution nor a t-distribution can be used because either the sample is not random, of n < 30 , and the population a nat known to be normal.
We can be 95% confident that the true population mean BMI is between 25.368 and 29.032.
A 95% confidence interval for the population mean can be constructed using the t-distribution when the sample size is small (<30) or the population standard deviation is unknown.
In this case, we have a random sample of 46 people with a mean body mass index (BMI) of 27.2 and a standard deviation of 6.0.
Thus, we need to use the t-distribution to construct the confidence interval.
The formula for the confidence interval is as follows:
Upper limit of the confidence interval:27.2 + (2.013) (6.0/√46) = 29.032Lower limit of the confidence interval:27.2 - (2.013) (6.0/√46) = 25.368
Therefore, the 95% confidence interval for the population mean BMI is (25.368, 29.032).
This means that we can be 95% confident that the true population mean BMI is between 25.368 and 29.032.
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PLEASE HELPPPPPPPPPPPPP MEEEEEEEEEEEE
Answer:
7/24
Step-by-step explanation:
two minuses make a +,
meaning this equation is basically
-1/12+3/8
find a common denominator by LCM.
8,16,24,32
12,24,36,48
they share 24
denominator is 24
12*2 is 24, -1*2 = -2. 8*3 = 24 so we do 3*3 = 9
-2+9/24
7/24
L 4.6.3 Test (CST): Linear Equations
me.
OA. y+4= -3(x-3)
OB. y-4=-3(x+3)
OC. y-4=3(x+3)
OD. y+4=3(x-3)
(3,-4)
The correct option is OA. y+4= -3(x-3). L 4.6.3 Test (CST): Linear Equations Solution: We are given that a line passes through (3,-4) and has a slope of -3.
We will use point slope form of line to obtain the equation of liney - y1 = m(x - x1).
Plugging in the values, we get,y - (-4) = -3(x - 3).
Simplifying the above expression, we get y + 4 = -3x + 9y = -3x + 9 - 4y = -3x + 5y = -3x + 5.
This equation is in slope intercept form of line where slope is -3 and y-intercept is 5.The above equation is not matching with any of the options given.
Let's try to put the equation in standard form of line,ax + by = c=> 3x + y = 5
Multiplying all the terms by -1,-3x - y = -5
We observe that option (A) satisfies the above equation of line, therefore correct option is OA. y+4= -3(x-3).
Thus, the correct option is OA. y+4= -3(x-3).
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At the end of a soccer game, the head coach noticed that the jug of water, which had initially contained 6 7/8 gallons, was down to 2 3/8 gallons. How many gallons of water had been consumed?
4 1/2 gallons of water were consumed during the soccer game.
How to find out how many gallons of water were consumed?To find out how many gallons of water were consumed during the soccer game, we need to subtract the final amount of water in the jug from the initial amount.
Initial amount of water = 6 7/8 gallons
Final amount of water = 2 3/8 gallons
To subtract these two quantities, we can convert both to improper fractions and then find the difference:
Initial amount of water = 6 × 8/8 + 7/8 = 48/8 + 7/8 = 55/8
Final amount of water = 2 × 8/8 + 3/8 = 16/8 + 3/8 = 19/8
Amount of water consumed = Initial amount - Final amount
= 55/8 - 19/8
= (55 - 19)/8
= 36/8
= 4 1/2 gallons
Therefore, 4 1/2 gallons of water were consumed during the soccer game.
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please can i have some help, just on this question, thank you so much!
Answer:
a) 1/2 of 12 = 1/4 of 24
b) 1/3 of 90 = 2/3 of 45
Step-by-step explanation:
1/2 of 16 is 6, so 6 would be 1/4 of what? 6 x 4 = 24. 6 is 1/4 of 24. The other one is the same. 1/3 of 90 is 30, and 30 is 2/3 of 45.
Given the function: f la!bldle ab ac ad cde Using Shannon's Expansion Theorem, what is (are) the cofactor(s) of f with respect to lab? ac cde d
la!b!dle !b!de
1 !d!e
C
Ab
Ad
b
1. When lab = 0: f_0 = f(lab = 0, cde, ac, ad) Here, we substitute lab with 0 in the function.
2. When lab = 1: f_1 = f(lab = 1, cde, ac, ad) Here, we substitute lab with 1 in the function.
So, the cofactors of the given function f with respect to lab are f_0 and f_1.
To find the cofactors of f with respect to lab using Shannon's Expansion Theorem, we need to consider two cases:
1. When lab = 0:
In this case, we need to remove the term that contains lab. So we can rewrite f as follows:
f = (ab ac ad) + (cde)
To find the cofactor of f with respect to lab = 0, we need to remove the terms that contain both lab and its complement (la!b):
Cofactor of f with respect to lab = 0 = (ac ad) + (cde) = acd + cde + ace + ade
2. When lab = 1:
In this case, we need to set lab to 1 and remove the term that contains its complement (la!b).
So we can rewrite f as follows: f = (ab ac ad) + (cde)
Setting lab to 1 gives us: f|lab=1 = ac ad cde
To find the cofactor of f with respect to lab = 1, we need to remove the terms that contain both lab and its complement (la!b):
Cofactor of f with respect to lab = 1 = ad cde
Therefore, the cofactors of f with respect to lab are acd + cde + ace + ade and ad cde.
Using Shannon's Expansion Theorem, we can determine the cofactors of the given function f with respect to the variable lab.
The theorem states that any function can be expressed as the sum of its cofactors.
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Which of the following are an x-intercept?
a
(2,5)
b
(3,0)
c
(0,3)
Question 2 (1 point)
Use the equation y=6x+30. Find x if y=0. (means put 0 in for y and then solve for x)
a
x=0
b
x=30
c
x= -5
d
x= 5
Answer for question 2:
x= -5
Step-by-step explanation:
0= 6x +30
-6x= 30
x= 30/-6
x= -5