Evaluate the line integral 2 + x2y ds where c is the upper half of the circle x2 + y2 = 1.

Answer:  70

Step-by-step explanation:

Antoine's elevation when he is halfway to the top is 70. You cut the diameter (120) in half which gets you 60 and you add the height of the stand holding the wheel (10) which gets you 70.

The his or her elevation should be 70.

Since the diameter is 120 And, elevation of Antoine should be halfway to the top so here we split the diameter into half i.e. half of 120 is 60 and there is the height for stand holding the wheel i.e. 10

So, the elevation should be

= 60 + 10

= 70

Therefore, The his or her elevation should be 70.

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Answer:

52

Step-by-step explanation:

The minimum of the data set is the smallest number. Therefore, the minimum is 52.

Answer:

x=10, y=25

Step-by-step explanation:

First, in a trapezoid, the two angles on the same leg (the legs are the opposite sides that are not parallel) add up to 180 degrees. Therefore, 4y as well as (2y+3x) are supplementary. We can write this out as

4y + (2y+3x) = 180

6y+3x = 180

Next, the angles of a triangle add up to 180 degrees. Therefore, as the angles 2y, 4y, and (5x-20) make up a triangle, they add up to 180 degrees. We can write this as

4y + 2y + (5x-20) = 180

6y + 5x -20  =180

Our two equations are thus

6y + 5x - 20 = 180

6y + 3x = 180

If we subtract 6y from both sides in each equation, we can say

5x - 20 = 180-6y

3x = 180-6y

Therefore, we can write

5x-20 = 180-5y = 3x

5x-20=3x

subtract 3x from both sides to make all x variables on the same side

2x-20 = 0

add 20 to both sides to isolate the x and its coefficient

2x = 20

divide both sides by 2 to isolate x

x = 10

Therefore,

x = 10

6y + 3x = 180

6y + 30 = 180

subtract 30 from both sides to isolate the y and its coefficient

6y = 150

y = 25

Answer:

x=4

Step-by-step explanation:

(x-4)/(x+5)(x-1)

For this to be equal to zero, the numerator must be zero and the denominator not equal to zero

x-4 = 0

x=4

[tex]g(x) = \sqrt{x - 5} + 2 \\ g(5) = \sqrt{5 - 5} + 2 = 0 + 2 \\ g(5) = 2[/tex]

I hope I helped you^_^

Answer:  f(x) will have vertical asymptotes at x=-2 and x=2 and horizontal asymptote at y=3.

Step-by-step explanation:

Given function: [tex]f(x)=\dfrac{3x^2}{x^2-4}[/tex]

The vertical asymptote occurs for those values of x which make function indeterminate or denominator 0.

i.e. [tex]x^2-4=0\Rightarrow\ x^2=4\Rightarrow\ x=\pm2[/tex]

Hence, f(x) will have vertical asymptotes at x=-2 and x=2.

To find the horizontal asymptote , we can see that the degree of numerator and denominator is same i.e. 2.

So, the graph will horizontal asymptote at [tex]y=\dfrac{\text{Coefficient of }x^2\text{ in numerator}}{\text{Coefficient of }x^2\text{ in denominator}}[/tex]

i.e. [tex]y=\dfrac{3}{1}=3[/tex]

Hence, f(x) will have horizontal asymptote at y=3.

Answer:

x = -4

Step-by-step explanation:

-5x-10=10

Add 10 to each side

-5x-10+10=10+10

-5x = 20

Divide each side by -5

-5x/-5 = 20/-5

x = -4

Answer: x= -4

Step-by-step explanation:

[tex]-5x-10=10[/tex]

add 10 on both sides

[tex]-5x=20[/tex]

divide -5 on both sides

[tex]20/-5=-4[/tex]

[tex]x=-4[/tex]

Answer:

I think it should be (C)

Answer:

B

Step-by-step explanation:

The fastest way to solve this would to plug in a number for x such as 1 in both equations to find which 2 are equivalent.

When you plug 1 into the top equation it equals 3.5, so now we need to find the correct equation below that equals 3.5 when 1 is plugged in for x.

When you plug 1 into equation B you are also left with 3.5.

Answer:

Step-by-step explanation:

Since round to the nearest one is too vague, i'll give everything this can be rounded too

Rounded to the nearest whole number

0.741 = 1

Rounded to the nearest tenth

0.741 = 0.7

Rounded the the nearest hundreth

0.741 = 0.74

Hopefully this helps

Answer:

31.28%

Step-by-step explanation:

The z score is used in statistics to determine by how many standard deviations the raw score is above or below the mean. If the raw score is above the mean then the z score is positive while if the raw score is below the mean then the z score is negative. It is given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Given the z score z = -1.2 z = 0.85. From the normally distribution table, the probability that a value falls between z = -1.2  and z = 0.85 = P(z < 0.85) - P(z < -1.2) = 0.8023 - 0.1151 = 0.6872

The proportion of values that do not fall between z = -1.2 and z = 0.85 = 1 - 0.6872 = 0.3128 = 31.28%

Answer:

D. 16 years old

Step-by-step explanation:

Step 1: Let T be Tien's age and J as Jordan's age (today),

[tex]T=\frac{1}{4}J[/tex]

Step 2: Let T be Tien's age and J as Jordan's age (in 2 years),

[tex]T+2=\frac{1}{3} (J+2)[/tex]

[tex]T=\frac{1}{3}(J+2)-2[/tex]

Step 3: As their age differences will always be similar we can have the two equations above equal to find Jordan's age,

[tex]\frac{1}{4} J=\frac{1}{3}(J+2)-2\\\frac{1}{4}J-\frac{1}{3}J=\frac{2}{3} -2 \\-\frac{1}{12}J= -\frac{4}{3} \\\\J=16[/tex]

Answer:

64 cm^3

Step-by-step explanation:

Volume of a square pyramid is given by (side)^2*(height)/3. The volume of the pyramid in question is (8)^2*(3)/3=64 cm^3

Answer:

Micheal sent 40 messages, Christine sent 20, and Dave sent 11.

Step-by-step explanation:

Christine, Dale, and Michael sent a total of 71 messages

C + D + M = 71

Dale sent 9 fewer messages than Christine

D = C - 9

Michael sent 2 times as many messages as Christine

M = 2C

Plug-in the numbers.

C + C - 9 + 2C = 71

4C - 9 = 71

4C = 80

C = 20

Now, plug in to other equations for other results.

D = (20) - 9

D = 11

M = 2(20)

M = 40

Micheal sent 40 messages, Christine sent 20, and Dave sent 11.

Verify?

40 + 20 + 11 = 71.

Answer:

Below

Step-by-step explanation:

First let's find m

     m = Δy / Δx = y2 - y1 / x2 - x1

         = 1 - 5 / 3 - 1

         = -2

Now to find b, you can sub in the values of (x,y) for (1,5)

5 = (-2)(1) + b

-b = -2 - 5

-b = - 7

b = 7

Final equation

y = -2x + 7

Hope this helped!

Answer:

4x + 2y - 14

Step-by-step explanation:

I hope it is understandable.

Answer:

no it's not a defined state it's undefined

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Tanθ = opposite / adjacent

[tex] \tan(32) = \frac{x}{25} \\ 0.624 = \frac{x}{25} \\ x = 15.6 \\ x = 16[/tex]

I hope I helped you ^_^

Answer:

D. [tex]\frac{9x^2+14}{18x}[/tex]

Step-by-step explanation:

Find the common denominator, 18x.

Simplify.

Add.

I hope this helps!

Answer: D

Step-by-step explanation:

Common denominator 18x

18x/2=9x.

(9x)(x) = 9x^2

18x/9x=2

(2)(7)=14

(9x^2+14)/18x

Answer:

$2520

Step-by-step explanation:

→ Work out the area of the drive way

18 m × 4 m= 72 m²

→ Multiply the area by the cost per square metre

72 m² × $35 = $2520

The cost of paving a driveway that is 18m long and 4 m wide, if the paving costs $35 per square metre is $2520.

To calculate the cost of paving the driveway, you need to find the total area of the driveway and then multiply it by the cost per square meter.

The total area of the driveway can be calculated using the formula:

Area = length × width.

Given that the driveway is 18 meters long and 4 meters wide, the area would be:

Area = 18m × 4m

Area = 72 square meters.

Now,  find the cost of paving the driveway by multiplying the area by the cost per square meter:

Cost = Area × Cost per square meter

Cost = 72 square meters × $35/square meter

Cost = $2520.

So, the cost of paying the driveway would be $2520.

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Answer:

n/2>8

Step-by-step explanation:

Half of N is N/2

And if 8 is less that half of N or N/2

then

N/2 has to be greater than 8

N/2>8

Answer:

The first and third polynomials have roots in x = 3 and x = -i. (A, C)

Step-by-step explanation:

The quickest form to determine if [tex]x = 3[/tex] and [tex]x = -i[/tex] are roots consist in evaluating each polynomial and proving that result is zero.

A. [tex]f(x) = x^{3}-3\cdot x^{2}+x-3[/tex]

x = 3

[tex]f(3) = 3^{3}-3\cdot (3)^{2}+3-3[/tex]

[tex]f(3) = 27-27+3-3[/tex]

[tex]f(3) = 0[/tex]

x = -i

[tex]f(-i) = (-i)^{3}-3\cdot (-i)^{2}-i-3[/tex]

[tex]f(-i) = i + 3-i-3[/tex]

[tex]f(-i) = 0[/tex]

B. [tex]f(x) = x^{5}+9\cdot x^{4}+28\cdot x^{3} + 36\cdot x^{2}+27\cdot x +27[/tex]

x = 3

[tex]f(3) = 3^{5}+9\cdot (3)^{4}+28\cdot (3)^{3}+36\cdot (3)^{2}+27\cdot (3)+27[/tex]

[tex]f(3) = 2109[/tex]

x = -i

[tex]f(-i) = (-i)^{5}+9\cdot (-i)^{4}+28\cdot (-i)^{3}+36\cdot (-i)^{2}+27\cdot (-i)+27[/tex]

[tex]f(-i) = -i+9 -28\cdot i +36-27\cdot i +27[/tex]

[tex]f(-i) = -56\cdot i +64[/tex]

[tex]f(-i) = 64 -56\cdot i[/tex]

C. [tex]f(x) = x^{5}-9\cdot x^{4}+28\cdot x^{3} - 36\cdot x^{2}+27\cdot x -27[/tex]

x = 3

[tex]f(3) = (3)^{5}-9\cdot (3)^{4}+28\cdot (3)^{3}-36\cdot (3)^{2}+27\cdot (3)-27[/tex]

[tex]f(3) = 0[/tex]

x = -i

[tex]f(-i) = (-i)^{5}-9\cdot (-i)^{4}+28\cdot (-i)^{3}-36\cdot (-i)^{2}+27\cdot (-i)-27[/tex]

[tex]f(-i) = -i - 9+28\cdot i+36-27\cdot i-27[/tex]

[tex]f(-i) = 0[/tex]

D. [tex]f(x) = x^{3}+3\cdot x^{2}+x+3[/tex]

x = 3

[tex]f(3) = (3)^{3}+3\cdot (3)^{2}+(3)+3[/tex]

[tex]f(3) = 60[/tex]

x = -i

[tex]f(-i) = (-i)^{3}+3\cdot (-i)^{2}+(-i)+3[/tex]

[tex]f(-i) = -i+3-i+3[/tex]

[tex]f(-i) = 6-i\,2[/tex]

The first and third polynomials have roots in x = 3 and x = -i. (A, C)

Answer:

1. GH

2. a

Step-by-step explanation:

Perpendicular: When 2 lines meet at 90 degrees

1. It is line segment GH because AB and GH meet at a 90 degree angle (since there is a box at angle GHF indicating that it is 90 degrees)

2. It has to be a units because it is a rectangle where the top and bottom are congruent and the sides are too

This is a rectangle since AB and CD are parallel and GH can be a transversal line, according to same side interior angles theorem EGH is a also 90 degrees. That means FEG is 90 degrees too because then the quadrilateral will add up to 360 degrees

Answer:

F , D, E

Step-by-step explanation:

The smallest angle is opposite the smallest side

The largest angle is opposite the largest side

DE is smallest so F is smallest

Then EF so D

DF is largest so E is the largest angle

Answer:

Hey there!

Our equation can be: 2y+3=4y+2

Hope this helps :)

Answer:

2y+3=4y+2

I hope you got it..

Answer:

The future value of the car after 5 years is $36,249.5

Step-by-step explanation:

Given the value at which a car depreciates, we are interested in finding the value of the car after a period of 5 years.

To find the value, we make use of an exponential equation;

The exponential equation to use is;

FV = PV(1 - r)^n

where FV is the future value of the car which is what we want to calculate

PV is the present value of the car which is $55,000

r is the depreciation percentage = 8% = 8/100 = 0.08

n is the number of years.

So now, we input these values into the formula;

FV = 55,000(1 -0.08)^5

FV = 55,000(0.92)^5

FV = $36,249.5

Answer:

x+125+25=180 angles of triangle

x=180-150

x=30

Answer:

The answer is 10%

Step-by-step explanation:

Given,

C.P = 50

Profit = 5

So, S.P = 55

Now,

[tex]Percentage=\frac{S.P-C.P}{C.P}=\frac{55-50}{50}=0.1[/tex]

= 0.1 × 100% = 10%

Hope you have understood this.....        

ask me if you have any confusion.....        

if you liked it pls mark it as the brainliest

Answer:

3750 cm²

Step-by-step explanation:

To find the answer, we need to find the surface area of the cube. The surface area formula for a cube is 6a² where a = the length of an edge. We know that a = 25 so the surface area is 6 * 25² = 6 * 625 = 3750 cm².

Answer:

37.5 hopefully this is the answer you were looking for!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Out of 12 consecutive integers:

Sum of 3 integers will be divisible by 4 if the remainders are:

So total number of combinations is: