Hey there!
If it’s ABOVE sea level it usually means it’s BIGGER than 0 and if you’re BELOW sea level it usually means it’s SMALLER than 0.
Positives turns into negatives and negatives turns into positive
Above opposite is Below and Below opposite is Above
Thus, this means “100 feet ABOVE sea level” will probably -100 feet BELOW sea level”
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
In QRS m Q = 80 degrees m R = 65 degrees m S = 35 degrees which side of the QRS is the longest
Answer: RS
Step-by-step explanation:
A greater angle of a triangle is opposite a greater side. If angle Q is greater than angle R, then side RS is greater than side QS.
Because Q is the larger angle in the triangle, Then RS is the longest side.
Write a fraction in which the numerator and denominator are both greater than 19. Then write the fraction in simplest form.
Answer:
Remember that a number divided by itself is 1. That means if the numerator and denominator are the same, the fraction is equal to 1. So all of the following are equal to 1: 2/2, 3/3, 4/4, and so on.
Step-by-step explanation:
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The shaded region displayed in the graph does not include the dashed line. Which of the following best represents all the shaded points?
A ladder is leaning against a vertical wall. The distance from the top ofthe ladder to the base of the wall is 15 feet. The length of the ladder is 47 feet. What is the distance from the base of the wall to the bottom of the ladder? Provide an answer accurate to the nearest tenth.
Answer:
45ft
Step-by-step explanation:
use pythagoras
c²=a²+b²
47²=15²+b²
(solve for b)
b= 44.5
round off, =45
Suppose you want to figure out how likely it would be to spin red and flip tails. We call red and tails the event.
Answer with Explanation: We need to find the probability of obtaining the red and tails when the two are flipped at the same time:
\(\begin{gathered} P\left(R\right)=\frac{1}{2} \\ P\left(T\right)=\frac{1}{2} \end{gathered}\)The probability of the red and tails or P(Red and Tails) is as follows:
\(\begin{gathered} P\left(R\text{ and }T\right?=P\left(R\right)\times P\left(T\right) \\ \therefore\rightarrow \\ P\left(R\text{ and }T\right?=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4} \\ P\left(R\text{ and }T\right?=\frac{1}{4} \end{gathered}\)Conclusion: Therefore the probability is (1/4) or 25%.
Can anyone help me on this question
Answer:
0.3109725776
Step-by-step explanation:
By using calculator, we can easily find the value:
\(\tt \frac{\sqrt{13.7}}{3.05^2+2.6}=\boxed{0.3109725776}\)
Verify that the line integral and the surface integral of Stokes' Theorem are equal for the following vector field, surface S, and closed curve C. Assume that C has counterclockwise orientation and S has a consistent orientation. F = y,-x,11; S is the upper half of the sphere x^2+y^2+z2 = 16 and C is the circle x^2+y^2 = 16 in the xy-plane. Construct the line integral of Stokes' Theorem using the parameterization r(t) = 4 cost, 4 sint, 0 for 0 lessthanorequalto t lessthanorequalto 2 pi for the curve C. Choose the correct answer below. integral^2x_0 -16dt integral^2x_0 32dt integral^2x_0 16dt integral^2x_0-32dt Construct the surface integral of Stokes' Theorem using R = {(x,y): x^2+y^2 lessthanorequalto 16} as the region of integration. Choose the correct answer below.
The line integral and the surface integral of Stokes' Theorem are not equal for the given vector field, surface, and closed curve.
Stokes' Theorem relates the line integral of a vector field around a closed curve to the surface integral of the curl of the vector field over the surface enclosed by the curve.
In this case, the given vector field is F = (y, -x, 11), the surface S is the upper half of the sphere \(x^2 + y^2 + z^2 = 16\), and the closed curve C is the circle \(x^2 + y^2 = 16\) in the xy-plane.
To apply Stokes' Theorem, we need to calculate the curl of the vector field F. The curl of F is given by ∇ × F = (0, 0, -2).
For the line integral, we are given the parameterization r(t) = (4cos(t), 4sin(t), 0) for 0 ≤ t ≤ 2π, which represents the curve C. The line integral can be calculated as ∫C F · dr = ∫C (y, -x, 11) · (dx, dy, dz).
Substituting the parameterization into the line integral, we have ∫C F · dr = ∫C (4sin(t), -4cos(t), 11) · (-4sin(t)dt, 4cos(t)dt, 0) = ∫C -44 dt = -44∫C dt. Integrating over the curve C, which is a circle of radius 4, we obtain ∫C F · dr = -44(2π) = -88π.
For the surface integral, the region of integration is R = {(x, y) : x^2 + y^2 ≤ 16}, which represents the projection of the upper half of the sphere onto the xy-plane. The surface integral can be calculated as ∬S (∇ × F) · dS, where dS is the surface element vector.
Since the curl of F is (0, 0, -2), the surface integral becomes ∬S (0, 0, -2) · dS = ∬S -2dS. Integrating over the region R, which is a circle of radius 4, we obtain ∬S -2dS = -2(π(4^2)) = -32π.
Therefore, the line integral of Stokes' Theorem is -88π, while the surface integral is -32π. Since these values are not equal, we can conclude that the line integral and the surface integral of Stokes' Theorem are not equal for the given vector field, surface, and closed curve.
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May ALG 1A Unit 5 Modified Discussion
A pattern that increases or decreases at a constant rate is a linear function
Question 1 represents a linear functionQuestion 2 and 3 represent a nonlinear functionQuestion 1
From the table, we see that:
As x increases by 25, The value of y decreases by 1The rate of increment/decrement is constant for both variables.
Hence, question 1 represents a linear function
Question 2
From the table, we see that:
As x increases by 2, The value of y increases at different ratesThe rate of increment is not constant for variable y.
Hence, question 2 represents a nonlinear function
Question 2
From the table, we see that:
As the steps (i.e. x) increases by 1, The number of blocks (i.e. the value of y) increases at different ratesThe rate of increment is not constant for variable y.
The complete table is:
\(\mathbf{Step\to Blocks}\)
\(\mathbf{1 \to 2}\)
\(\mathbf{2 \to 6}\)
\(\mathbf{3 \to 12}\)
\(\mathbf{4 \to 20}\)
Hence, question 3 represents a nonlinear function
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Justin and Tyson are beginning an exercise program to train for football season and want to build muscle. Justin weighs 150 pounds and hopes to gain 2 pound per week. Tyson weighs 160 pounds and hopes to gain 1 pound per week. After how many weeks will they weigh the same amount?
Answer:
At 15 weeks they will both weigh 180
Step-by-step explanation:
150 + 2w = 195 - w
2w + w = 195 - 150
3w = 45
w = 45/3
w = 15 <=== they will weigh the same at 15 weeks
150 + 2(15) = 150 + 30 = 180...and they will both weigh 180 lbs
I hope this helps you :)
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $356 to drive 380 mi and in June it cost her $404 to drive 620 mi. The function is C(d)=0.2+280 (b) Use part (a) to predict the cost of driving 1800 miles per month. (c) Draw a graph (d) What does the slope represent? What does the C-intercept represent? Why does a linear function give a suitable model in this situation?
(b) $640 (c) y-int of 280, positive slope (d) It represents the cost (in dollars) per mile. It represents the fixed cost (amount she pays even if she does not drive). A linear function is suitable because the monthly cost increases as the number of miles driven increases.
To predict the cost of driving 1800 miles per month, substitute 1800 in the given function C(d) = 0.2d + 280C(1800) = 0.2 (1800) + 280= $640 per month. Therefore, the cost of driving 1800 miles per month is $640.
(b) Graph is shown below:(c)The slope of the graph represents the rate of change of the cost of driving a car per mile. The slope is given by 0.2, which means that for every mile Lynn drives, the cost increases by $0.2.The y-intercept of the graph represents the fixed cost (amount she pays even if she does not drive).
The y-intercept is given by 280, which means that even if Lynn does not drive the car, she has to pay $280 per month.The linear function gives a suitable model in this situation because the monthly cost increases as the number of miles driven increases.
This is shown by the positive slope of the graph. The fixed cost is also included in the function, which is represented by the y-intercept. Therefore, a linear function is a suitable model in this situation.
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is this a function if not what is it?
Answer:
Not a function but a relation
Step-by-step explanation:
It is not a function because 10 is matched with both 4 and 20.
HELP I NEED THIS NOW I HAVE 5 MINUTES LEFT AND 5 MORE QUESTIONS!!
Answer:
Step-by-step explanation:
1st box. -3x
2nd and 3rd box. -21 on each side
4th box. 0
and you have the rest I hope I could help you.
The bends on a track for car racing are semicircular and the track is banked at an angle of 28
0
to the horizontal. Suppose the radius of the curvature of the bends is 120 m. a) At what speed can a racing car and a driver of mass 800 kg take these bends even when there is no friction between the car and the track? b) If the car speed is twice of that in (a). (i) draw the free-body diagram of the car (ii) Find the value of the frictional force f.
The bends on a track for car racing are semicircular, and the track is banked at an angle of 28.0° to the horizontal. Suppose the radius of the curvature of the bends is 120 m.
a) The formula to calculate the minimum velocity is given as follows:Vmin = √(rgtanθ)Where;Vmin is the minimum velocity needed to stay on the track;g is the acceleration due to gravity;r is the radius of the turn;θ is the angle of banking.r = 120 m, θ = 28.0°, and g = 9.8 m/s²Substitute the values into the formula, we get;Vmin = √(rgtanθ)=√(9.8 m/s² * 120 m * tan(28.0°))=40.6 m/sTherefore the minimum velocity the car should maintain is 40.6 m/sb) If the car speed is twice that in (a).
(i) The free-body diagram of the car is as shown below;
(ii) The value of the frictional force f is as follows;There are two forces acting on the car, namely; the normal force and the gravitational force. When the car moves at a constant speed around the bend, the centrifugal force Fc is also acting towards the center of the circular path. The centrifugal force Fc is given by the formula;Fc = mv²/rWhere;F c is the centrifugal force;m is the mass of the carv is the velocity of the car in m/sr is the radius of the curve.
Therefore;f = F s, max= μsNWhere;Fs, max is the maximum static frictional force that can be applied;N is the normal force acting on the car;μs is the coefficient of static friction.Because the car is not sliding, the maximum frictional force that can act is equal to the centripetal force, Fc.Thus;Fs, max = F c= 21,333.3 NThe frictional force f can now be determined as;f = Fs, max= μsN= 21,333.3 N= μsmgCosθwhere m is the mass of the car, and g is the acceleration due to gravity.
Substitute the values into the formula;μ s = f/mgCosθ= 21,333.3 N / 800 kg * 9.8 m/s² * Cos(28.0°) = 0.58Therefore the coefficient of static friction is 0.58.
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a point (-20,48) is on the terminal side of angle \theta. find the exact value of sin\theta.
please! Thank you.
Answer:
The exact value of sinθ for the given point (-20, 48) is 12/13.
Step-by-step explanation:
To find the exact value of sinθ, we need to determine the ratio of the y-coordinate (-20) to the distance from the origin to the point (-20, 48).
Using the Pythagorean theorem, we can calculate the distance from the origin to the point (-20, 48). The distance is the square root of the sum of the squares of the x and y coordinates:
Distance = √((-20)^2 + 48^2)
Distance = √(400 + 2304)
Distance = √2704
Distance = 52
Now that we have the distance, we can calculate the sine of θ. Since the point (-20, 48) is in the second quadrant, the y-coordinate is positive. Therefore, sinθ = y-coordinate / distance:
sinθ = 48 / 52
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4:
sinθ = 12 / 13
Therefore, the exact value of sinθ for the given point (-20, 48) is 12/13.
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if the fraction simplified is 5/8 then what is the fraction out of 100?
Explanation
Step 1
convert the fraction in decimal number
\(\frac{5}{6}=5\text{ divided by 6 =0.8333}\)Step 2
Multiply the result by 100
\(0.83333\cdot1000\rightarrow83.333\)so, the fractions equals 83.33 out of 100
Sarah’s job at a cellphone store pays 6% commission on the sales she makes. She also makes $1400 base pay. What will Sarah’s total paycheck be if she had $4000 in sales?
Answer:
255
Step-by-step explanation:
A square has a triangular hole in it. What is the area of the figure?
85 in 2
100 in 2
92.5 in 2
70 in 2
Answer:
B. 10 x 10 = 100. 5 x 3 / 2 = 7.5. 100 - 7.5 = 92.5
Step-by-step explanation:
James decided to share rocks collection. He gave 13 to Bill, 18 to lill, and 15 to mark. He had 32 left. How many rocks did he have to start with
James started with 78 rocks, as he gave away 46 rocks and had 32 rocks left.
The problem states that James gave away 13 rocks to Bill, 18 rocks to Lill, and 15 rocks to Mark. Therefore, the total number of rocks he gave away is the sum of these three amounts
13 + 18 + 15 = 46
This means that James had 46 fewer rocks after giving them away. The problem also states that he had 32 rocks left after giving some away. We can use this information to figure out how many rocks he started with by adding the number of rocks he had left to the number he gave away
46 + 32 = 78
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write each fraction in simplest form
Answer:
1/5
Step-by-step explanation:
A mortgage company offers a loan for 30 years at an
annual rate that is equal to the prime rate published by
the Federal Reserve plus 2%. This can be modeled
using the function APR(P) = p + 0.02, where p is the
prime interest rate as a decimal. The annual interest
rate is then converted to a monthly interest rate using
the function (APR) =
APR
The Wilsons want to borrow
12
$128,000. Their monthly payments can be calculated
128,000r
by the function m(r) =
1-(1 + r)-360
Answer: C
Step-by-step explanation:
The Wilsons' monthly mortgage payment will be approximately $9,485.16.
How to get the Monthly Mortgage Payment?To calculate the monthly payments for the Wilsons' mortgage, we need to follow these steps:
Convert the annual interest rate to a monthly interest rate using the formula APR(P) = P + 0.02.
Plug the monthly interest rate into the formula m(r) = 128,000 * (r / (1 - (1 + r)⁽⁻³⁶⁰⁾)).
Let's perform the calculations:
Step 1: Convert the annual interest rate to a monthly interest rate
Let's assume the prime interest rate (P) published by the Federal Reserve is 4.5% (0.045 as a decimal).
APR(P) = P + 0.02
APR(0.045) = 0.045 + 0.02
APR(0.045) = 0.065 (monthly interest rate as a decimal)
Step 2: Calculate the monthly payments (m(r)) for a loan of $128,000 with the monthly interest rate (r) obtained from Step 1.
m(r) = 128,000 * (r / (1 - (1 + r)⁽⁻³⁶⁰⁾))
m(0.065) = 128,000 * (0.065 / (1 - (1 + 0.065)⁽⁻³⁶⁰⁾))
Now, let's calculate the monthly payments (m(r)):
m(0.065) = 128,000 * (0.065 / (1 - (1 + 0.065)⁽⁻³⁶⁰⁾))
m(0.065) = 128,000 * (0.065 / (1 - (1.065)⁽⁻³⁶⁰⁾))
m(0.065) = 128,000 * (0.065 / (1 - 0.124823)) (Approximately, (1.065)⁽⁻³⁶⁰⁾ ≈ 0.124823)
m(0.065) = 128,000 * (0.065 / 0.875177)
m(0.065) = 128,000 * 0.074285 (Approximately, 0.065 / 0.875177 ≈ 0.074285)
m(0.065) = 9,485.16
The Wilsons' monthly mortgage payment will be approximately $9,485.16.
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can someone help me pleasee ???
Answer:
A. x=6 ; y=3 radical 3
Step-by-step explanation:
30-60-90 triangle theorem
Which of the following factors does NOT control the stability of a slope?
the angle of repose for intact bedrock
whether the slope is rock or soil
the amount of water in the soil
the orientation of fractures, cleavage, and bedding
The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.
Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.
The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.
To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.
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HELPPPPPPPPPP!!!!!!!
One day, the outdoor temperature increased by 5/10 degree every hour for 6 hours. How much did the temperature increase by the end of 6 hours.
Answer:
3 degrees
Step-by-step explanation:
(5/10)*6
3
Best answer gets brainliest
c) How many applications will your mother actually use on her new cell phone? Solve the equation you wrote in part b to find the unknown variable. (2 points)
i put this in part B (She uses 24 applications regularly)
Answer:
24 would be the correct answer.
Step-by-step explanation:
24 would be the correct answer because 2/3 x 18 + 12 = 24.
Making 2/3 the the fraction that was used and already installed.
Making 18 the number of the already installed applications
Making 12 the number of the additional installed applications.
I hope this helped!!!
a family has five kids. what is the probability that they are three males and two females?
The probability of a family having three males and two females can be calculated using the concept of binomial probability.
In a family with five kids, each child has a 50% chance of being male or female. The probability of having three males and two females can be calculated by considering the different ways this combination can occur.
There are a total of 10 possible outcomes when arranging three males and two females in a sequence of five children (i.e., 5C3, where 5C3 represents the binomial coefficient "5 choose 3").
The probability of having three males and two females is given by the number of favorable outcomes divided by the total number of possible outcomes, which is 10/32 or 0.3125. Therefore, the probability of a family having three males and two females is approximately 31.25%.
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Which binomial is a factor of 9x2 – 64?
3x – 8
9x – 32
3x + 32
9x + 8
Answer:
It’s the first one, 9x-32
Step-by-step explanation:
Maybe
PLEASE HELP ME QUICK~~
Answer:
I don’t really know if I’m correct but I think it’s “the fraction of switch hitting softball players is greater than 1/20”
Step-by-step explanation:
What is 63 x 49,329 + 60 - 9 x 61 equal?
Jk. Whats 2+2
Brain list if you answer the first one ALSO
Answer: 3107238 XD 2+2=22
Step-by-step explanation:
14a + 2 =?
16a
16a +2
14a + 2
Answer:
16a
Step-by-step explanation:
14a+2=14+2+a=16a.