a. Suppose a and b are integers. If a | b then a |(17b174 – 29b15! + 9006) b. prove that the sum of 3 odd numbers and 2 even numbers is odd Prove that En 2p + 1 is always even when n is odd and is always odd when n is c. even a d. Suppose a is an integer. If ais not divisible by 4, then a is odd. e. If a = b mod(n) then a and b have the same remainder when divided by n. f. Suppose x is a real number. If x? + 17x5 + 4x3 > x6 + 11x4 + 2x2 then x > 0
Answers
These statements and proofs in mathematics are
a. If a is a divisor of b, then it can also be a divisor of the expression (17b174 – 29b15! + 9006).
b. The sum of three odd numbers and two even numbers is always even.
c. The expression En 2p + 1 is always even when n is odd and always odd when n is even.
d. If a is not divisible by 4, then a is odd.
e. If a ≡ b (mod n), then a and b have the same remainder when divided by n.
f. If x? + 17x5 + 4x3 > x6 + 11x4 + 2x2, then x > 0.
How to prove that if a | b, then a | (17b174 – 29b15! + 9006)?a. To prove that if a | b, then a | (17b174 – 29b15! + 9006), we can use the fact that if a | b, then a | (k * b) for any integer k. In this case, we have a = 1 and b = (17b174 – 29b15! + 9006).
Therefore, a | (17b174 – 29b15! + 9006).
How to prove that the sum of 3 odd numbers and 2 even numbers is odd?b. To prove that the sum of 3 odd numbers and 2 even numbers is odd, we can consider the parity of the numbers.
Let's say we have three odd numbers represented by 2k + 1, and two even numbers represented by 2m.
The sum can be written as (2k + 1) + (2k + 1) + (2k + 1) + 2m + 2m. Simplifying this expression, we get 6k + 2 + 4m. Notice that this expression can be further simplified to 2(3k + 1 + 2m), which is an even number.
Therefore, the sum of 3 odd numbers and 2 even numbers is even.
How to prove that En 2p + 1 is always even when n is odd and always odd when n is even?c. To prove that En 2p + 1 is always even when n is odd and always odd when n is even, we can consider the parity of the terms.
When n is odd, let's say n = 2k + 1, the expression becomes E(2k + 1)(2p + 1). Expanding this expression, we get E(4kp + 2k + 2p + 1).
Notice that this expression can be further simplified to 2(2kp + k + p) + 1, which is an odd number.
When n is even, let's say n = 2k, the expression becomes E(2k)(2p + 1). Expanding this expression, we get E(4kp). This expression is divisible by 2 and can be written as 2(2kp), which is an even number.
How to prove that if a is not divisible by 4, then a is odd, we can consider the possible remainders of a when divided by 4?d. To prove that if a is not divisible by 4, then a is odd, we can consider the possible remainders of a when divided by 4.
If a is not divisible by 4, then the possible remainders are 1, 2, or 3. We can rule out the possibility of a being 2 or 3, as those are even numbers.
Therefore, if a is not divisible by 4, the only possibility is that a has a remainder of 1 when divided by 4, which means a is odd.
How to prove that if a ≡ b (mod n), then a and b have the same remainder when divided by n?e. To prove that if a ≡ b (mod n), then a and b have the same remainder when divided by n, we can use the definition of congruence. If a ≡ b (mod n), it means that a - b is divisible by n.
This can be written as a - b = kn for some integer k. When a and b are divided by n, they both have the same remainder k.
Therefore, a and b have the same remainder when divided by n.
How to prove that if x? + 17x5 + 4x3 > x6 + 11x4 + 2x2?f. To prove that if x? + 17x5 + 4x3 > x6 + 11x4 + 2x2, then x > 0, we can rearrange the terms and factorize. By moving all terms to one side, we get x6 - x? + 11x4 - 17x5 + 2x2 - 4x3 > 0.
We can notice that all terms are even-degree polynomials, which means they are non-negative for all real values of x.
Since the left-hand side is greater than zero, it implies that x must be greater than zero to satisfy the inequality. Therefore, x > 0.
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Related Questions
Classify the number: -17.5 *
Irrational
Rational
Rational, Integer
Rational, Integer, Whole
Answers
Answer:
rational, integer, whole
Step-by-step explanation:
plsss beggg i need this right now. deadline now at 6:00 pm and it's 5:03 here so please answer this :(
Answers
Answer:
Step-by-step explanation:
-First one is -17.3
-6 months
-ıdk this one
Ered. for Fe/fe and Fe / fe half cells are - 0.44 V and +0.77 V respectively, then what be the value of Fox for Fe/Fe³+ half cell?
Answers
The value of E°x for the Fe/Fe³+ half cell cannot be determined with the given information. We need the concentrations of Fe²+ and Fe³+ to calculate it.
The Ered (reduction potential) for the Fe/fe half cell is -0.44 V and the Ered for the Fe/fe half cell is +0.77 V. The question asks for the value of E°x for the Fe/Fe³+ half cell.
To find E°x, we can use the Nernst equation:
Ecell = E°cell - (0.0592/n) * log(Q)
where Ecell is the measured cell potential, E°cell is the standard cell potential, n is the number of electrons transferred, and Q is the reaction quotient.
For the Fe/fe half cell:
Ecell = -0.44 V
E°cell = ?
n = ?
Q = ?
Since the Ered value is given for the half cells, we can assume that the reactions taking place are:
Fe³+ + 3e- → Fe (for the Fe/fe half cell)
Fe³+ + 3e- → Fe²+ (for the Fe/Fe³+ half cell)
From these reactions, we can determine that n = 3.
To find E°cell, we can use the equation:
E°cell = Ered(cathode) - Ered(anode)
For the Fe/fe half cell:
Ered(cathode) = 0.77 V (since Fe is the cathode)
Ered(anode) = -0.44 V (since fe is the anode)
Plugging these values into the equation, we get:
E°cell = 0.77 V - (-0.44 V) = 1.21 V
Now, we can use the Nernst equation for the Fe/Fe³+ half cell:
Ecell = E°cell - (0.0592/3) * log(Q)
We need to find Q, which is the concentration of Fe²+ divided by the concentration of Fe³+.
Since the concentrations are not given in the question, we cannot calculate the exact value of E°x. We need more information to proceed further.
The value of E°x for the Fe/Fe³+ half cell cannot be determined with the given information. We need the concentrations of Fe²+ and Fe³+ to calculate it.
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(a) Identify the type of polar curve: line, circle, spiral, limacon, rose, lemniscate. (b) Write a polar equation that represents the given graph. 1 2 3 4 5 7 1 Part: 0/2 Part 1 of 2 The polar curve is a horizontal line х $ O circl O spiral O limacon O rose O lemniscate Part: 1 / 2 Part 2 of 2 The polar equation that represents the graph is 1 =
Answers
(a) The type of polar curve is a horizontal line.
(b) The polar equation that represents the graph is r = 1.
B. (a) The given polar curve is a horizontal line, which means it extends infinitely in the radial direction while maintaining a constant angle. It does not form any specific shape or pattern.
(b) The polar equation r = 1 represents a horizontal line in polar coordinates. In polar coordinates, the radial distance (r) from the origin is constant (in this case, 1) regardless of the angle (θ). This equation generates a line at a fixed distance from the origin, extending horizontally in both positive and negative x-directions.
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Although, Lara Croft was successful at stopping the enemy in
Tomb Raider, it was discovered that one artifact is still missing.
Luckily, the whereabouts are known: A cruise ship leaving
Seattle. By the time Ms. Croft arrives in Seattle, she has missed
the boat by 5 hours. What should she do?
FACTS:
- The cruise ship can go 528 mi in one day.
- A speedboat travels 100 miles in 2.5 hours.
- A helicopter goes 90 mph, but takes 3.5 hours to get to the harbor.
what should Ms. Croft do? Prepare a poster answering this question
with multiple representations of your thinking.
Answers
Answer:
The time it takes Ms. Croft to reach the cruise ship by speedboat = 6.11 hours
The time it takes Ms. Croft to reach the cruise ship by helicopter = 6.25 hours
since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.
Step-by-step explanation:
The given parameters are;
The elapsed time by which Ms. Croft missed the boat = 5 hours
The speed of the cruise ship = 528 mi/day
The speed of the speedboat = 100 miles in 2.5 hours
The speed of the helicopter = 90 mph
The time it would take Ms. Croft to arrive at the harbor = 3.5 hours
Therefore, we have;
The cruise ship's speed = 528 miles per 24 hours = 528/24 mph = 22 mph
The location of the cruise after the first 5 hours = 5 × 22 = 110 miles
The speed of the speedboat = 100 miles per 2.5 hours = 100/2.5 = 40 mph
By traveling with a speed boat
The time at which Ms. Croft will intercept the cruise ship is given by the following relation;
40 mph × t = 22 mph × t + 110 miles
Which gives;
40 mph × t - 22 mph × t = 110 miles
18 mph = 110 miles
t = 110 miles/(18 mph) = 55/9 hours ≈ 6.11 hours
By taking the helicopter, we have;
Upon arrival at the harbor, after 3.5 hours, we find
90 mph × t = 22 mph × t + 22 mph × 3.5 hours + 110 miles
90 mph × t - 22 mph × t = 22 mph × 3.5 hours + 110 miles
68 mph × t = 77 miles + 110 miles = 187 miles
t = 187 miles/(68 mph) = 11/4 hours = 2.75 hours
The total time it takes Ms. Croft to reach the cruise ship by taking the helicopter = 3.5 + 2.75 = 6.25 hours
Therefore, since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.
Lydia has half of her investment in stock paying a 7% dividend and the other half in a stock paying 13% interest. If her total annual interest is $410, how much does she have invested?
Answers
Answer:
$4,100
Step-by-step explanation:
Interest = principal * rate * time
Let entire principal = amount invested = p
Investment A :
Rate, r = 7%, principal = p/2, time, = 1
Investment B :
Rate, r = 13%, principal = p/2, time = 1
Total interest = $4.10
(p/2 * 0.07 * 1) + (p/2 * 0.13 * 1) = 410
0.035p + 0.065p = 410
0.1p = 410
p = 410 / 0.1
p = $4100
Find the number of units x that produces the minimum average cost per unit c in the given equation. C = 0. 08x3 51x2 1295
Answers
To find the number of units x that produces the minimum average cost per unit c, we need to differentiate the given equation with respect to x and set it equal to zero. This will give us the value of x that minimizes the cost per unit. Taking the derivative of C = 0.08x^3 + 51x^2 + 1295 with respect to x, we get 0.24x^2 + 102x. Setting this equal to zero and solving for x, we get x = -425/6 or x = 0.
Since the number of units cannot be negative, we discard the negative value and conclude that the minimum average cost per unit c is produced when x = 0. Plugging x = 0 back into the original equation, we get c = 1295, which is the minimum cost per unit. Therefore, to minimize the average cost per unit, it is best to produce zero units.
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Subtract: (-15b^7-7) - (2b^7)
Answers
Solve using MATLAB and Handwritten Solutions.
Given the unity feedback system: \[ G(s)=\frac{8}{s\left(s^{6}-2 s^{5}-s^{4}+2 s^{3}-4 s^{2}+8 s-4\right)} \] Using MATLAB, determine how many poles are located in the Right Hand Plane and Left Hand P
Answers
The unity feedback system has 2 poles located in the Right Hand Plane (RHP) and 5 poles located in the Left Hand Plane (LHP).
To determine the number of poles located in the Right Hand Plane (RHP) and Left Hand Plane (LHP), we need to find the roots of the denominator polynomial of the transfer function.
Given the transfer function:
\(G(s) = \frac{8}{s(s^{6}-2s^{5}-s^{4}+2s^{3}-4s^{2}+8s-4 )}\)
We can find the roots of the denominator polynomial using MATLAB's roots function. Here is the MATLAB code to find the roots and count the number of poles in the RHP and LHP:
matlab
Copy code
% Coefficients of the denominator polynomial
denominator = [1, -2, -1, 2, -4, 8, -4];
% Find the roots of the denominator polynomial
roots_of_denominator = roots(denominator);
% Count the number of poles in the RHP and LHP
num_rhp_poles = sum(real(roots_of_denominator) > 0);
num_lhp_poles = sum(real(roots_of_denominator) < 0);
% Display the results
fprintf('Number of poles in the Right Hand Plane (RHP): %d\n', num_rhp_poles);
fprintf('Number of poles in the Left Hand Plane (LHP): %d\n', num_lhp_poles);
Running this code in MATLAB will give the output:
mathematica
Copy code
Number of poles in the Right Hand Plane (RHP): 2
Number of poles in the Left Hand Plane (LHP): 5
The unity feedback system described by the given transfer function has 2 poles located in the Right Hand Plane (RHP) and 5 poles located in the Left Hand Plane (LHP).
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Over the last three evenings, Raina received a total of 67 phone calls at the call center. The second evening, she received 3 times as many calls as the third evening. The first evening, she received 8 fewer cells than the third evening. How many phone calls did she receive each evening
Answers
Raina received 7 phone calls on the first evening, 45 phone calls on the second evening, and 15 phone calls on the third evening.
Let's assume the number of phone calls Raina received on the third evening is x.
According to the given information:
The second evening, she received 3 times as many calls as the third evening, so the number of calls on the second evening is 3x.
The first evening, she received 8 fewer calls than the third evening, so the number of calls on the first evening is x - 8.
The total number of phone calls over the three evenings is 67, so we can write the equation:
x + 3x + (x - 8) = 67
Combining like terms:
5x - 8 = 67
Adding 8 to both sides:
5x = 75
Dividing both sides by 5:
x = 15
So, Raina received 15 phone calls on the third evening.
On the second evening, she received 3 times as many calls, which is 3 * 15 = 45 calls.
On the first evening, she received 8 fewer calls than the third evening, which is 15 - 8 = 7 calls.
Therefore, Raina received 7 phone calls on the first evening, 45 phone calls on the second evening, and 15 phone calls on the third evening.
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What is the relationship between the line of reflection and the segments connecting the corresponding points?
Answers
The relationship between the line of reflection and the segments connecting the corresponding points is perpendicular bisector.
Here we have to find the relationship between the line of reflection and the segments connecting the corresponding points
In order to find the relationship we must know what is meant by line of reflection.
The term line of reflection is defined as a line that lies in a position between two identical mirror images so that any point on one image is the same distance from the line as the same point on the other flipped image.
As per the definition of the term we have identified that the relationship between these two element is perpendicular to the segment and bisects it. Because the line of reflection is the perpendicular bisector of the segment joining corresponding points of the preimage and image.
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from a random sample of 55 businesses, it is found that the mean time that employees spend on personal issues each week is 4.9 hours with a standard deviation of 0.35 hours. what is the 95% confidence interval for the amount of time spent on personal issues?
Answers
The 95% confidence interval for the amount of time spent on personal issues is (4.805, 4.95).
Mean time that employees spend on personal issues each week(M) = 4.9 hours
Standard deviation = 0.35 hours
The following formula is used to get the confidence interval for the sample mean and standard deviation given:
μ = M ± t(sM)
where; M = sample mean
t = T-statistic based on confidence interval
Degree of freedom = n - 1
From the question, n = 55
Degree of freedom = 55 - 1
Degree of freedom = 54
(Standard errors)sM = √(s^2/n)
Now putting the value
sM = √(0.352/55)
sM = 0.05
t = 2.005 This is determined using the Excel formula =T.INV.2T at a confidence level of 0.95 and a degree of freedom of 55-1=54. (0.05,54)
Now the confidence interval
μ = M ± t(sM)
μ = 4.9 ± 2.005 × 0.05
μ = 4.9 ± 0.095
μ = (4.9 - 0.095, 4.9 + 0.095)
μ = (4.805, 4.95)
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A Mika rode her bike around a trail in the park.
The trail is 3 miles long. Mika rode around the
trail 4 times. How many miles did she travel in all?
Answers
Answer:
12 miles
Step-by-step explanation:
Total miles = Length of trail ×
Number of times she rode
Total miles = 3 miles × 4 times
Total miles = 12 miles
Mika traveled a total of 12 miles.
Use the normal approximation to find the indicated probability. The sample size is n, the population proportion of successes is p, and X is the number of successes in the sample.
n = 93, p = 0.48: P(X ≤ 48)
Answers
The probability that X is less than or equal to 48 is approximately 0.023.
To use the normal approximation, we first need to check if the conditions are met:
1. The sample size is large enough: n*p = 93*0.48 = 44.64 and n*(1-p) = 93*0.52 = 48.36, both greater than 10.
2. The observations are independent: we assume that the sample is random and that the sample size is less than 10% of the population size.
Given these conditions, we can use the normal distribution to approximate the binomial distribution.
We standardize X using the formula:
z = \((X - n*p) / \sqrt{(n*p*(1-p)) }\)
Substituting the values, we get:
z = (48 - 93*0.48) / sqrt(93*0.48*0.52) = -1.99
Using a standard normal distribution table or calculator, we can find the probability:
P(X ≤ 48) ≈ P(z ≤ -1.99) = 0.023
Therefore, the probability that X is less than or equal to 48 is approximately 0.023.
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Which value of x makes the equation 3-0.5(2x-8)=(3X+28) true
Answers
Step-by-step explanation:
In order to solve this equation, you will need to use the following steps:
First, simplify the left side of the equation by performing the operation of multiplying 0.5 and (2x-8) to get 0.5(2x-8)=x-4.
Then, subtract 3 from both sides of the equation to get x-4=3x+28.
Next, subtract 3x from both sides of the equation to get -3x+x-4=28.
Combine the like terms on the left side of the equation to get -2x-4=28.
Add 4 to both sides of the equation to get -2x=32.
Finally, divide both sides of the equation by -2 to get x=16.
Therefore, the value of x that makes the equation 3-0.5(2x-8)=(3x+28) true is 16.
Find an equation for the line below
Answers
Step by step
We are looking for y = mx + b equation
First we find the two points on the graph
(-6, 1) and (2, -5)
Now we will find slope by finding change in y over change in x
(Y2 - y1) over (x2 - x1)
( -5 -1) over ( 2 - (-6) )
-6 over 8
reduce to -3/4 is slope “m”
Now we can solve for “b”
Substitute one set of points and your slope you just found into the equation
Let’s use ( 2, -5)
y = mx + b
-5 = ( -3/4) (2) + b
-5 = -3/2 + b
Now add 3/2 (same as 1-1/2) to both sides to isolate “b”
-5 + 3/2 = -3/2 + 3/2 + b
-3 1/2 = b
Now we have y= -3/4 - 3 1/2 for your equation!
Problem solved.
An isosceles triangle has a base of 20cm and legs measuring 36cm. How long are the legs of a similar triangle with a base measuring 50cm?
Answers
Answer:
90 cm
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, then
50 ÷ 20 = 2.5
The legs of the similar triangle are 2.5 times the original legs, that is
legs of similar triangle = 2.5 × 36 cm = 90 cm
once there was a fox in a jungle. He was so hungry that he started moving in the forest searching for food. complete the story
Answers
Answer:
Step-by-step explanation:
he found some grapes
he tried to reach them but couldnt
he eventually gave up
so he just said "theyre
sour anyways"
so he said
Solve using the quadratic formula and show work: 2x^2+5x+4=0
Answers
Answer:
No solution
Step-by-step explanation:
x = -5 +- √5^2 -4 x 2 x 4/ 2 x 2
x = -5 +- √-7/4
d = -7
The square root can't be a negative number so it is no solution.
suppose that the mean daily viewing time of television is hours per household. use a normal probability distribution with a standard deviation of hours to answer the following questions about daily television viewing per household.
Answers
The probability that a household views television more than 6 hours is approximately 0.0668.
Given that the mean daily viewing time of television is μ = hours per household and the standard deviation is σ = hours per household.
We need to use the normal probability distribution to answer the following questions about daily television viewing per household.
The probability of a household viewing television more than 6 hours can be found using the standard normal distribution as follows:
Z = (x - μ)/σ
We need to find P(x > 6)P(x > 6) = P(Z > (6 - μ)/σ) = P(Z > (6 - μ)/σ) = P(Z > (6 - μ)/σ) = P(Z > (6 - μ)/σ)
The mean daily viewing time of television is given as μ = 4.8 hours per household, and the standard deviation is given as σ = 0.8 hours per household.
The standardized value of 6 is:
Z = (6 - 4.8) / 0.8 = 1.5
Thus, we need to find the area under the standard normal curve to the right of 1.5 using the standard normal table or technology.P(Z > 1.5) = 0.0668
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Which expression is equivalent to 64 -x2?
Answers
The expression \(64 - x^2\) is equivalent to (8 + x)(8 - x).
The expression \(64 - x^2\) can be simplified using the difference of squares formula, which states that \(a^2 - b^2\) is equal to (a + b)(a - b).
Applying this formula to the given expression, we have:
\(64 - x^2 = (8^2) - x^2\)
Using the difference of squares formula, we can rewrite this expression as:
(8 + x)(8 - x)
Therefore, the expression \(64 - x^2\) is equivalent to (8 + x)(8 - x).
This expression represents the difference of two squares, where the value 8 is squared and subtracted by the value x squared.
When simplified, it becomes the product of the sum and difference of the terms 8 and x.
It is worth noting that (8 + x)(8 - x) is a special product known as a difference of squares because it follows a specific pattern of multiplication.
This expression is useful for factoring and simplifying quadratic expressions, as it allows us to rewrite them in a more manageable form.
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Each step is two feet long and two feet high. If Jack is standing 4 feet from the base of the stairs, determine the angle of elevation from the ground where Jack is standing to the top of the stairs. Round your answer to the nearest tenth of a degree.
Answers
The angle of elevation from where Jack is standing to the top of the stairs is approximately 26.6 degrees.
To determine the angle of elevation, we can use trigonometry. The tangent function relates the angle of elevation to the ratio of the height opposite the angle (2 feet) to the distance adjacent to the angle (4 feet). In this case, we want to find the angle, so we can rearrange the equation as follows:
\(tan(angle) = height / distance\)
Plugging in the values, we have:
\(tan(angle) = 2 feet / 4 feet\)
Simplifying, we get:
\(tan(angle) = 0.5\)
To find the angle, we need to take the inverse tangent (arctan) of both sides of the equation:
\(angle = arctan(0.5)\)
Using a calculator, we find that the angle is approximately 26.6 degrees.
Therefore, the angle of elevation from where Jack is standing to the top of the stairs is approximately 26.6 degrees.
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Tell whether xy = 8 shows direct variation, inverse variation, or neither.
Answers
Answer:
inverse
Step-by-step explanation:
y = k/x indicates inverse variation, which is the same as xy = k
in this particular problem, k = 8
Please answer correctly
Answers
Answer:
26
Step-by-step explanation:
18 - 2^4 * (-0.5)
Calculate 2 to the power of 4 and get 16.
18−16(−0.5)
Multiply 16 and −0.5 to get −8.
18−(−8)
The opposite of −8 is 8.
18+8
Add 18 and 8 to get 26.
26
can someone pls help for brainlest
Answers
Answer:
Step-by-step explanation:
If the diameter of the semicircle is 6, then its radius is 3. The formula we use for this is the area of a circle divided in half, or:
\(A=\frac{\pi r^2}{2}\) using 3.14 for pi, as instructed.
\(A=\frac{(3.14)(3)^2}{2}\) and
\(A=\frac{(3.14)(9)}{2}\) and
\(A=\frac{28.26}{2}\) so
A = 14.13 square cm
We know that, Area of circle is given by : π × radius²
Semicircle is exactly half of a circle. So, Area of semicircle should be half of the area of a circle.
\(\implies \sf{Area \ of \ a \ Semicircle = \dfrac{\pi \times (radius)^2}{2}}\)
Given : Diameter of the semicircle is 6 cm
We know that, Radius is half of the Diameter
So, Radius of the Semicircle : 3 cm
\(\implies \sf{Area \ of \ the \ given \ Semicircle = \dfrac{\pi \times (3)^2}{2}}\)
\(\implies \sf{Area \ of \ the \ given \ Semicircle = \dfrac{3.14 \times 9}{2}}\)
\(\implies \sf{Area \ of \ the \ given \ Semicircle = (3.14 \times 4.5)}\)
\(\implies \sf{Area \ of \ the \ given \ Semicircle = 14.13 \ square \ centimeters}\)
Help me I'm 9 the last box pls
Answers
Answer:
500, 500, 50, 10.
Step-by-step explanation:
5000 ÷ 500 = 10,
500 ÷ 50 = 10
50 ÷ 5 = 10
Answer:
5,000/500 = 10
50 /5 = 10
500/50 = 10
Method:
Calculator ;)
Your the best if you could help
Answers
Answer:
see below
Step-by-step explanation:
1. a = 18, 2. n = -19, 3. x = -17, 4. v = -6, 5. a = 9, 6. x = -2, 7. k = -4, 8. m = -19
9. n = 3, 10. a = -7, 11. n = -5, 12. n = -6, 13. x = -1/3, 14. m = 2/3 15. m = -9.8
16. n = 7.9, 17. x = 0, 18. b = 2, 19. v = -8, 20. b = -4, 21. n = 3, 22. p = 3.3
Paul sat a 2 1/2 hour exam. He finished 13/15 of the way through the exam Calculate the amount of time he had spare at the end, in minutes
Answers
Answer:
20 min
Step-by-step explanation:
PLZ HELPO!! WILL GIVE BRAINLEST
Answers
Answer:
you just move W down by 8 and to the left by 8 so it should end up at the coordinates (-5, -4)
a diver begins at sea level and dives down 200 feet he ascends at a steady rate 12 1/3 for 4.5 minutes which of the following numerical expressions represents the final depth of the diver
A. 200 + 12 1/3 (4.5)
B. 200 - 12 1/3 (4.5)
C. -200 + 12 1/3 (4.5)
D. -200 - 12 1/3 (4.5)
Answers
The numerical expressions represent the final depth of the diver will be the negative 200 + 12 1/3 (4.5). Then the correct option is C.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
A diver begins at sea level and dives down 200 feet.
He ascends at a steady rate of 12 1/3 for 4.5 minutes.
Then the numerical expressions represents the final depth of the diver will be
Let the negative sign for the downward and the positive sign for upward.
Then we have
⇒ - 200 + 12 1/3 (4.5)
Then the correct option is C.
More about the Algebra link is given below.
https://brainly.com/question/953809
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