Answer:
\(-5\)
Step-by-step explanation:
**Follow PEMDAS order of operations**:
ParenthesesExponentsMultiplicationDivisionAdditionSubtraction__________________________
\(-8-10\times \left(-1\right)+7\times \left(-1\right)\)
1) Multiplication/Division:
\(10\times \left(-1\right)\)
\(-10\)
\(-8-\left(-10\right)+7\times \left(-1\right)\)
\(7\times \left(-1\right)\)
\(-7\)
2) Addition/ Subtraction:
\(-8-\left(-10\right)-7\)
\(-\left(-10\right)=+10\)
\(-8+10-7\)
\(-8+10=2\)
\(2-7\)
\(=-5\)
______________________________
The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 13 feet. Which measurement is closest to the length of this rectangle in feet?
F 9ft
G 17 ft
H 12.4 ft
J 13.6 ft
Answer:
12.4
Step-by-step explanation:
Answer:
12.4
Step-by-step explanation:
Costs for standard veterinary services at a local animal hospital follow a normal distribution with a mean of $89 and a standard deviation of $24. What is the probability that one bill for veterinary services costs between $53 and $125?.
The probability that one bill for veterinary services costs between $53 and $125 is 0.866383
The probability that one bill for veterinary services costs between $42 and $133 will be given as follows P(53<x<125), Since the formula for calculating the z score is
z=(x-μ)/σ, where μ is the mean, σ is the standard deviation
since we are provided with means of $89 and a standard deviation of $24.So the z score will be :
for x = 53, z=(53-89)/24= -1.5
Therefore the probability P(x<53) is 0.066807
Again for x = $125, x=(125-88)/24=1.54
Therefore , the probabiltiy P(x<125) is 0.93319
The probability that one bill for veterinary services costs between $53 and $125, P(53<x<125) is :
=0.93319- 0.066807
=0.866383
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Frank tried to solve an equation step by step. \qquad\begin{aligned} -5&=5(d+4)\\\\ \\ -5&=5d+20&\green{\text{Step } 1}\\\\ \\ 15&=5d&\blue{\text{Step } 2}\\\\ \\ 3&=d&\purple{\text{Step } 3}\\\\ \end{aligned} −5 −5 15 3 =5(d+4) =5d+20 =5d =d Step 1 Step 2 Step 3 Find Frank's mistake. Choose 1 answer: Choose 1 answer: (Choice A) A \green{\text{Step }1}Step 1start color #28ae7b, start text, S, t, e, p, space, end text, 1, end color #28ae7b (Choice B) B \blue{\text{Step }2}Step 2start color #6495ed, start text, S, t, e, p, space, end text, 2, end color #6495ed (Choice C) C \purple{\text{Step }3}Step 3start color #9d38bd, start text, S, t, e, p, space, end text, 3, end color #9d38bd (Choice D) D Frank did not make a mistake. .
Answer:
Step 2
Step-by-step explanation:
=5(d+4)
=5d+20
=5d
=d
Step 1
Step 2
Step 3
1/4 divided by 3
______________
0.083333333333333... (endless amount of 3s)
wave interference that results in greater wave amplitude is called_____.
Wave interference that results in greater wave amplitude is called Constructive interference.
What is Wave Interference?
Wave interference is a physical phenomena that occurs when two waves collide while traveling through the same medium. Waves interact in two ways.
a) Constructive Interference - In this case, the two waves cancel each other out because their amplitudes are equal and opposite.
b) Destructive Interference - This occurs when two waves add to each other as they travel in the same direction, resulting in a wave with a longer wavelength.
It is Constructive interference.
Therefore, Wave interference that results in greater wave amplitude is called Constructive interference.
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helpppppppppppppppppppppppppppp
Answer: i know p4 but what does the first q say?
Step-by-step explanation:
Answer:
2nd one
Step-by-step explanation:
Consider the vector field\mathbf{F} = (x^2 + y^2, 8 xy). Compute the line integrals
\int_{\mathbf{c}_1} \mathbf{F}\cdot d\mathbf{r}and\int_{\mathbf{c}_2} \mathbf{F}\cdot d\mathbf{r}, where\mathbf{c}_1(t) = (t, t^2)and\mathbf{c}_2(t) = (t, t)for0 \le t \le 1. Can you decide from your answers whether or not
\mathbf{F}
is a gradient vector field? Why or why not?
\int_{\mathbf{c}_1} \mathbf{F}\cdot d\mathbf{r} = ____
\int_{\mathbf{c}_2} \mathbf{F}\cdot d\mathbf{r} = ____
Is\mathbf{F}
The line integral ∫F⋅dr with the lower limit \(C_{1}\) is 52/15 and ∫F⋅dr with the lower limit \(C_{2}\) is 10/3. F is not a gradient vector field. F is not conservative.
To compute the line integrals, we need to parameterize the given curves \(C_{1}\)(t) and \(C_{2}\)(t) and then evaluate the dot product between the vector field F and the tangent vector dr. Let's calculate each line integral:
For \(C_{1}\)(t) = (t, \(t^{2}\)):
The tangent vector d\(r_{1}\) = (d\(x_{1}\) , d\(y_{1}\) ) = (dt, 2t dt)
The dot product F⋅d\(r_{1}\) = (\(x^{2}\) + \(y^{2}\)) d\(x_{1}\) + (8xy) d\(y_{1}\)
= (\(t^{2}\) + \(t^{4}\) ) dt + (8t(\(t^{2}\))) (2t dt)
= (\(t^{2}\) + \(t^{4}\) + 16\(t^{4}\) ) dt
= (17\(t^{4}\) + \(t^{2}\)) dt
Integrating (17\(t^{4}\) + \(t^{2}\)) with respect to t from 0 to 1:
∫(17\(t^{4}\) + \(t^{2}\)) dt = [ (17/5)\(t^{5}\) + (1/3)\(t^{3}\) ] evaluated from 0 to 1
= (17/5) + (1/3) - 0
= 17/5 + 1/3
= 52/15
The line integral ∫F⋅dr with the lower limit \(C_{1}\) is 52/15.
For \(C_{2}\) (t) = (t, t):
The tangent vector d\(r_{2}\) = (d\(x_{2}\) , d\(y_{2}\) ) = (dt, dt)
The dot product F⋅ d\(r_{2}\) = (\(x^{2}\) + \(y^{2}\)) d\(x_{2}\) + (8xy) d\(y_{2}\)
= ( \(t^{2}\) +\(t^{2}\)) dt + (8t(t)) dt
= (2\(t^{2}\) + 8\(t^{2}\) ) dt
= 10\(t^{2}\) dt
Integrating 10 \(t^{2}\) with respect to t from 0 to 1:
∫10 \(t^{2}\) dt = (10/3) \(t^{3}\) evaluated from 0 to 1
= (10/3) - 0
= 10/3
The line integral ∫F⋅dr with the lower limit \(C_{2}\) is 10/3.
To determine whether F is a gradient vector field, we need to check if its line integrals are path-independent (i.e., the line integrals are only dependent on the endpoints and not the path taken). If the line integrals are path-independent, then F is a conservative vector field and can be expressed as the gradient of a scalar potential function.
From our calculations, we observe that the line integrals for \(C_{1}\) and \(C_{2}\) are different. Therefore, F is not a conservative vector field and cannot be expressed as the gradient of a scalar potential function.
In summary:
The line integral ∫F⋅dr with the lower limit C1 is 52/15.
The line integral ∫F⋅dr with the lower limit \(C_{2}\) is 10/3.
F is not a gradient vector field since its line integrals depend on the path taken.
F is not conservative.
Correct Question :
Consider The Vector Field F=(\(x^{2}\)+\(y^{2}\),8xy). Compute The Line Integrals ∫F⋅dr with lower limit C1 And ∫F⋅dr with lower limit \(C_{2}\), Where \(C_{1}\)(t)=(t,\(t^{2}\)) And \(C_{2}\)(t)=(t,t) For 0≤t≤1. Can you decide from your answers whether or not F is a gradient vector field? Why or why not? Is F conservative?(Yes/No)
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The function y = f(x) is graphed below. Plot a line segment connecting the points
on f where x = 0 and x = 3. Use the line segment to determine the average rate of
change of the function f(x) on the interval 0 _< x _< 3.
The average rate of change of the function f(x) on the interval 0 ≤ x ≤ 3 is 4.17
How to determine the average rate of change of the function f(x) on the interval 0 ≤ x ≤ 3?The equation of the function is given as:
y = f(x)
The graph of the function f(x) is added as an attachment
From the attached graph, we have the following function values at the given interval
f(0) = -5
f(3) = 7.5
The average rate of change of the function f(x) on the interval 0 ≤ x ≤ 3 is calculated using:
Average rate of change = [f(b) - f(a)]/[b - a]
Where
(a, b) = (0, 3)
So, we have:
Average rate of change = [f(3) - f(0)]/[3 - 0]
Substitute the known values in the above equation
Average rate of change = [7.5 - -5]/[3 - 0]
Evaluate the difference
Average rate of change = [12.5]/[3]
Evaluate the quotient
Average rate of change = 4.17
Hence, the average rate of change of the function f(x) on the interval 0 ≤ x ≤ 3 is 4.17
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100 points! Only answer if you know it. Random answer will be reported. Help me and I will mark brainliest!
you want to know the percentage of utility companies that earned revenue between 41 million and 99 million dollars. if the mean revenue was 70 million dollars and the data has a standard deviation of 18 million, find the percentage. assume that the distribution is normal. round your answer to the nearest hundredth.
Approximately 89.26% of utility companies have revenue between 41 million and 99 million dollars. We need to use the normal distribution formula and find the z-scores for the given values.
First, we need to find the z-score for the lower limit of the range (41 million dollars): z = (41 - 70) / 18 = -1.61
Next, we need to find the z-score for the upper limit of the range (99 million dollars): z = (99 - 70) / 18 = 1.61
We can now use a standard normal distribution table or a calculator to find the area under the curve between these two z-scores. The area between -1.61 and 1.61 is approximately 0.9044. This means that approximately 90.44% of utility companies earned revenue between 41 million and 99 million dollars.
To find the percentage of utility companies with revenue between 41 million and 99 million dollars, we can use the z-score formula and the standard normal distribution table. The z-score formula is: (X - mean) / standard deviation. First, we'll calculate the z-scores for both 41 million and 99 million dollars: Z1 = (41 million - 70 million) / 18 million = -29 / 18 ≈ -1.61
Z2 = (99 million - 70 million) / 18 million = 29 / 18 ≈ 1.61
Now, we'll look up the z-scores in the standard normal distribution table to find the corresponding percentage values.
For Z1 = -1.61, the table value is approximately 0.0537, or 5.37%.
For Z2 = 1.61, the table value is approximately 0.9463, or 94.63%.
Percentage = 94.63% - 5.37% = 89.26%
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Which of the following is the additive inverse of 4/31 ?
A. 4/31
B. - 4/31
C. 31/4
D. - 31/4
( Thanks In Advance )
Answer:
c 31b4
Step-by-step explanation:
17. The expression x2 - 12x + 36 represents the
area of a rectangular chalkboard. What is the factored
form of the expression? If each factor represents the
height and width of the chalkboard, what is the most
specic description of its shape?
A.(x-6), square
c B. (X - 5)(x + 6); rectangle
C. (x + 5)2: square
D. (x - 12): square
Find the missing term.
... 14,_. 15,-..
0.5
1
14.5
29
Answer:
14.5
Step-by-step explanation:
it is literally in the middle of 14 and 15
Is this a statistical question?
"How tall is a palm tree"
Answer:
yes it is a statistical question
Find the solution to the system of equations: x 3y = 7 and 2x 4y = 8 1. isolate x in the first equation: 2. substitute the value for x into the second equation: 3. solve for y: 4. substitute y into either original equation: 5. write the solution as an ordered pair:
Two or more equations using the same variable are referred to mathematically as a "system of linear equations." These equations' solutions serve as a representation of the intersection of the lines.
According to the given information:Two equations are presented here:
1) x + 3y = 7
2) 2x + 4y = 8
First, in the first equation, we want to isolate x:
x + 3y = 7
x = 7 -3y
In order to create an equation that depends just on the variable y, we must now b) swap it out in the second equation.
2x + 4y = 8
2(7 - 3y) + 4y = 8
The value of y is now determined by solving this equation in step (c).
14 - 6y + 4y = 8
14 - 2y = 8
-2y = 8 - 14 = -6
y= 6/2= 3
d) With the value of y now available, we can change the equation we obtained in step a) by substituting it.
x = 7 - 3y
x = 7 - 3*3 = 7 - 9 = -2
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I understand that the question you are looking for is:
Find the solution to the system of equations, x + 3y = 7 and 2x + 4y = 8.
1. Isolate x in the first equation: x = 7 − 3y
2. Substitute the value for x into the second equation: 2(7 − 3y) + 4y = 8
3. Solve for y:
14 − 6y + 4y = 8
14 − 2y = 8
−2y = −6
y = 3
4. Substitute y into either original equation: x = 7 − 3(3)
5. Write the solution as an ordered pair:
A shirt is on sale for 60% of the original price. The original price is $28 more than the sale price. What was the original price?
Answer:
I believe the answer is $70
Step-by-step explanation:
I used the formula
x= 0.6x + $28
x= the original price
Hamza invests £160 in an ISA paying 2.6% compound interest per annum. Work out how much interest he will have been paid at the end of 10 years.
Answer:
The answer is 1600
Step-by-step explanation:
10×100=1000
10×60=600
Answer:
((1+2,6%)^10)×160
=206,820
Is the fraction 0/3 the same as 3 or 0?
Answer:
0
Step-by-step explanation:
Given the sequence -14,-6,-2,0,1 find the recursive formula
\(u_{2} = u_{1} + 8 \\ u_{3} = u_{2} + 4 \\ u_{4} = u_{3} + 2 \\ u_{5} = u_{4} + 1 \\ u_{6} = u_{5} + 0.5 \\ ....\)
\(u_{2} = u_{1} + 2 {}^{3} \\ u_{3} = u_{2} + 2 {}^{2} \\ u_{4} = u_{3} + 2 {}^{1} \\ u_{5} = u_{4} + 2 {}^{0} \\ u_{6} = u_{5} + 2 {}^{ - 1} \\ ....\)
\(u_{n + 1} = u_{n} + 2 {}^{4 - n} \)
PLEASE HELP ASAP!
Triangle CAT has vertices C (2,3), A(-2,6) and T(-1,-4). A translation maps the point A to A' (-1,4). What are the coordinates of C' under this translation?
A. (1, -3)
B. (3, 1)
C. (1, 8)
D. (-8, 1)
you add 1 and subtracted 2
so 2 + 1 = 3
3 - 2 = 1
answer: b. (3, 1)
The price of a litre of milk increased from $1.25 in 2004 to $1.35 in 2006. What is the average price increase per year?
Answer:
$0.05/year
Step-by-step explanation:
Number of years:
2006 - 2004 = 2
From 2004 to 2006 it's 2 years.
Difference in prices:
$1.35 - $1.25 = $0.10
Average change of price per year:
$0.10 / 2 years = $0.05/year
An urn holds 9 identical balls except that 1 is white, 3 are black, and 5 are red. An exp How many outcomes are in the sample space for this experiment? How many outcomes are in the event "no ball is
Answer c
Step-by-step explanation:
In Calculus you will see the symbol y'. Treat y' as a variable and solve the equation for y'. −5(x+y)2−5(x+y)2y′+5y2y′=−5x2
The solution for y' is y' = (-2xy) / (x + y)^2.
We can treat y' as a variable and rearrange the equation in terms of y' on one side:
-5(x + y)^2 - 5(x + y)^2y' + 5y^2y' = -5x^2
let's combine like terms:
-5(x + y)^2(1 + y') + 5y^2y' = -5x^2
Now, let's isolate the y' terms on one side by moving the other terms to the other side:
-5(x + y)^2(1 + y') = -5x^2 - 5y^2y'
Divide both sides by -5(x + y)^2:
1 + y' = (x^2 + y^2) / (x + y)^2
Now, subtract 1 from both sides:
y' = (x^2 + y^2) / (x + y)^2 - 1
Simplifying:
y' = (x^2 + y^2 - (x + y)^2) / (x + y)^2
Expanding (x + y)^2:
y' = (x^2 + y^2 - (x^2 + 2xy + y^2)) / (x + y)^2
y' = (x^2 + y^2 - x^2 - 2xy - y^2) / (x + y)^2
y' = (-2xy) / (x + y)^2
Therefore, the solution for y' is y' = (-2xy) / (x + y)^2.
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HELP ME PLEASE TYYYYYYYYY
Step-by-step explanation:
we plug in 0 for x in the equation hence
A = 1
we plug in 2 for x in the equation to find B
hence B = 5
How many milliliters could a container with a volume of 154 cm cubed hold?
A. 0.154 ml
B. 1.54 ml
C. 154 ml
D. 15,540 ml
154 cm3 = 0,154 dm3 = 0,154 l = 154 ml
item 3 lamar gives his dog a pill once each day. each pill contains 3.6 milligrams of medicine. how many grams of medicine does lamar's dog get after one week? item 3 lamar gives his dog a pill once each day. each pill contains 3.6 milligrams of medicine. how many grams of medicine does lamar's dog get after one week?
Multiplication is the process of multiplying. The amount of medicine that Lamar's dog will have in one week is 25.2 milligrams.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given a medicine provides 3.6 milligrams of medicine. Therefore, the amount of medicine the dog will have in a week is,
The amount of medicine = 3.6milligrams × 7 = 25.2 milligrams
Hence, the amount of medicine that Lamar's dog will have in one week is 25.2 milligrams.
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IT’S TIMED NEED HELP ASAP! Write the relationship between the sides for these two congruent triangles.
Answer:
Step-by-step explanation:
They're both right angle triangles and have the same length and size , hence congruency
What is an equation of the line that passes through the points (-6,3) and
(-6, 6)?
Answer:
x = -6
Step-by-step explanation:
The points create a vertical line.
The distance AB rounded to the nearest = [ ? ]
You’ll be marked as brainlest !! Help !!
The points shown on the graph are (-1,2) and (1,-2).
d = sqrt{-2-2)^2 + (1-(-1))^2}
d = sqrt{(-4)^2 + (1+1)^2}
d = sqrt{16 + 4}
d = sqrt{20}
d = 4•sqrt{5}
d is about 8.94427191.
Rounded to the nearest tenth, we get d = 8.9.
Answer:
4.5
Step-by-step explanation:
Yo what is 2+2? ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀
Answer:
4
Step-by-step explanation:
Answer:2+2 = 4.............