Find the area of the semicircle shown below. Use 3.14 for TT
Round your solution to 2 decimal places.

Answer:

x=1

Step-by-step explanation:

We are given that

[tex]\frac{2x^3}{3}+2x^2-6x+4[/tex]

We have to find the value of x for which function is minimum.

Differentiate w.r.t x

[tex]f'(x)=2x^2+4x-6[/tex]

Substitute f'(x)=0

[tex]2x^2+4x-6=0[/tex]

[tex]x^2+2x-3=0[/tex]

[tex]x^2+3x-x-3=0[/tex]

[tex]x(x+3)-1(x+3)=0[/tex]

[tex](x-1)(x+3)=0[/tex]

[tex]x=1,-3[/tex]

Again, differentiate w.r.t x

[tex]f''(x)=4x+4[/tex]

[tex]f''(1)=4(1)+4=8>0[/tex]

[tex]f''(-3)=4(-3)+4=-8<0[/tex]

Hence, the function is minimum at x=1

Answer:

30 mg

Step-by-step explanation:

Flow rate of dopamine per hour:

Flow rate of dopamine per hour =  (95g)*(30ml/hr) / 95ml

Flow rate of dopamine per hour = 30mg

Answer:

2.6 in

Step-by-step explanation:

From the question given above, the following data were obtained:

Volume (V) of cylinder = 258¾ in³

Height (h) of cylinder = 12 in

Radius (r) =.?

NOTE: Pi (π) = 3.14

The radius of the cylinder can be obtained as follow:

V = πr²h

258¾ = 3.14 × r² × 12

258.75 = 37.68 × r²

Divide both side by 37.68

r² = 258.75 / 37.68

Take the square root of both side

r = √(258.75 / 37.68)

r = 2.6 in

Therefore, the radius of the cylinder is 2.6 in.

Answer:

1. x = 6 check: 3 * 6 = 18

2. x = -12 check: -12/3 = -4

3. x = 11 check: 11 * 11 = 121

4. y = -4 check: -8 * -4 = 32

Step-by-step explanation:

1. x=6 ( 3×6=18)

2. x = -12 (-12÷3 = -4)

3. x=11 (11×11=121)

4 y=-4 (-8 × -4 = 32)

Answer:

.

Step-by-step explanation:

Answer:

Hanna is 8 years old.

Step-by-step explanation:

Hanna = x

Tina = 4x

Sum = 40.

Hanna =?

Hanna + Tina = 40

4x + x = 40

5x = 40

x = 40/5

x = 8.

Hanna is 8 years old.

Answer:

B. x = 62 because 147 – 85 = 62 and 85 + 62 = 147

Step-by-step explanation:

We are given that

[tex]\angle ABC=85^{\circ}[/tex]

Exterior angle=[tex]147^{\circ}[/tex]

We have to find the value of x.

We know that

Exterior angle=Sum of opposite interior angles of triangle

Using the property

[tex]x+85=147[/tex]

Subtract 85 from both sides we get

[tex]x=147-85[/tex]

[tex]x=62[/tex]

Option B is true.

B. x = 62 because 147 – 85 = 62 and 85 + 62 = 147

Answer:

I corrected my mistakes.

The discount percentage when the marked price of an article , which is brought it for Rs 1280 is 25% above the cost price should be 12.5%.

Since the cost price is 1280

Now the market price be like

= 1280 + 25% of 1280

= 1600

Now the selling price is

[tex]= 1540\div 1.1[/tex]

= 1400

Now the discount percentage should be

[tex]= (1600 - 1400) \div 1600[/tex]

= 12.5%

hence, The discount percentage when the marked price of an article , which is brought it for Rs 1280 is 25% above the cost price should be 12.5%.

Learn more about discount here: https://brainly.com/question/22227795

Answer:

2p+2+p = 20

Step-by-step explanation:

Let p represent the number of Math problems Hayden completed.

Let 2p+2 represent the number of Math problems Jamie completed.

Next, we have to add them together so that the total Math problems they completed will be equal to 20.

Let's solve.

Therefore, Hayden completed 6 Math problems.

Next, we have to get how many problems Jamie completed.

Let's solve.

Therefore, Jamie completed 14 Math problems.

Let's check.

It's correct!

Answer:

Step-by-step explanation:

Use properties:

Simplify:

Answer:

x = -1 , y = -1

Step-by-step explanation:

We have system of equations and are asked to solve them.

We are looking for x and y, since both equations start with y, we can plug one to the other.

y = 5x + 4

y = 7x + 6

5x + 4 = 7x + 6

Now isolate x byitself to get x :

5x + 4 = 7x + 6

Subtract 4 from both sides :

5x = 7x + 2

Subtract 7x from both sides :

-2x = 2

Divide -2 by both sides :

x = -1

Now that we know what x is, we can substitute it into the equations seapraretly.

y = 5(-1) + 4

y = 7(-1) + 4

y = -5 + 4

y = -7 + 6

-5 + 4

-1

-7 + 6

-1

Therefore, both x and y equal -1

Step-by-step explanation:

5x4=20

Answer:

The answer is "Choice d"

Step-by-step explanation:

Please find the complete question in the attached file.

Faulty factory cars in a plant [tex]A = 8\% \ of\ 150 \ = 12 > 10[/tex]

Faulty factory cars in a plant [tex]B = 5\% \ of \ 150 = 7.5 < 10[/tex]

This condition of the normal distribution is not met so because the number of negative cars from plant B is less than 10, that's why the choice d is correct.

Answer: D

Not normal, because we expect fewer than 10 defective cars in Plant B. [tex].05*150=7.5[/tex]

Step-by-step explanation: Khan Answer

Answer:

Sam will be 24 and his mom U can figure that out

Step-by-step explanation:

Math

Answer:

24

Step-by-step explanation:

`12

Answer:

3 - x =-9

3+ 9 =x

x = 12

so, correct answer

x =12

Answer:

The speed of the jet with no wind is 240 miles per hour.

Step-by-step explanation:

The speed of the jet with no wind is equivalent to the speed of the jet relative to wind. Physically speaking, we have the following system of linear equations under the assumption that both speeds of wind and jet are constant:

In favor of wind

[tex]\frac{s}{t_{F}} = v_{W}+v_{J/W}[/tex] (1)

Against wind

[tex]-\frac{s}{t_{A}} = v_{W} -v_{J/W}[/tex] (2)

Where:

[tex]s[/tex] - Travelled distance, measured in miles.

[tex]t_{F}[/tex], [tex]t_{A}[/tex] - Time, measured in hours.

[tex]v_{W}[/tex] - Wind speed, measured in miles per hour.

[tex]v_{J/W}[/tex] - Jet speed relative to wind, measured in miles per hour.

If we know that [tex]t_{F} = 5\,h[/tex], [tex]t_{A} = 7\,h[/tex], [tex]v_{W} = 40\,\frac{mi}{h}[/tex], then the speed of the jet with no wind is:

[tex]\frac{s}{5} = 40 + v_{J/W}[/tex] (3)

[tex]-\frac{s}{7} = 40-v_{J/W}[/tex] (4)

[tex]\frac{s}{5}-40 = 40 +\frac{s}{7}[/tex]

[tex]\frac{s}{5}-\frac{s}{7} = 80[/tex]

[tex]\frac{7\cdot s - 5\cdot s}{35} = 80[/tex]

[tex]2\cdot s = 2800[/tex]

[tex]s = 1400\,mi[/tex]

From (3), we find that speed of the jet with no wind is:

[tex]v_{J/W} = \frac{s}{5}-40[/tex]

[tex]v_{J/W} = \frac{1400}{5}-40[/tex]

[tex]v_{J/W} = 240\,\frac{mi}{h}[/tex]

The speed of the jet with no wind is 240 miles per hour.

Answer:

no, 71.106 is greater

Step-by-step explanation:

71.08= 71 and 8/100

71.106= 71 and 10/100

71.106's fraction is larger

Answer:

4/3

Step-by-step explanation:

You use Rise over Run.

It runs 3 blocks to the left (+).

It rises 4 blocks up (+).

Answer:

is the change in y over the change in x

Answer:

Step-by-step explanation:

[tex]f(x)=x^3+x^2\\\\g(x)=x^4+x^2+x[/tex]

[tex]f(x)-g(x)=(x^3+x^2)-(x^4+x^2+x)=x^3+x^2-x^4-x^2-x\\\\=-x^4+x^3-x\\\\x=1\\\\-1^4+1^3-1=-1+1-1=-1[/tex]

[tex]x=1\\\\f(1)=1^3+1^2=1+1=2\\\\g(1)=1^4+1^2+1=1+1+1=3\\\\f(1)-g(1)=2-3=-1[/tex]

Answer:

according to your question 2cm is length of the rectangle and 5cm width and 8cm height.

so the surface area of rectangle=2(lb+bh+hl)

surface area=2(2×5+5×8+8×2)

SA=2(66)

SA=132cm²

if your figure is cuboid than the answer is this if thi is not cuboid than comment me on comment section.

Answer:

12.036549522

Step-by-step explanation:

Answer:

Step-by-step explanation:

“The area of a rectangular garden is 120 square meters.”

LW = 120

“The width is 4 meters longer than one-half of the length.”

W = 0.5L + 4

L = 2W-8

Substitution

(2W-8)W = 120

2W^2-8W-120 = 0

W^2 -4W-60 = 0

W = 10, -6

-6 is an extraneous solution.

W = 10 meters

L = 2W-8 = 12 meters

10 in each do 10 times 3 then subtract total

Answer:

2/7

Step-by-step explanation:

Slope of the line

[tex] = \frac{6 - 4}{21 - 14} \\ \\ = \frac{2}{7} [/tex]

Answer:

Step-by-step explanation:

731² - 631² is the difference of squares.

731² - 631² = (731+631)(731-631) = 1362×100

therefore, 731² - 631² is divisible by 100

Answer:

Half of cord 24/2 = 12

Step-by-step explanation:

In the circle with r = 13 we have 13^2 = 12^2 + a^2 where a = the distance from the centre of this circle to the cord. Thus a = 5. Then the distance from the cord to the other circle centre is 21 - 5 = 16. In the second circle you can write r2^2 = 16^2 + 12^2. The r2 = sqrt (400) = 20

Answer:

The last one

Step-by-step explanation:

Due to there being xy's in both terms

Answer:

54.6

Step-by-step explanation:

(18⅕ miles)/(⅓ hour) = ((18⅕)×3 miles)/hour = 54.6 miles per hour

The unit rate of the top running speed of a horse in miles per hour is 54.6 miles per hour.

There is an independent quantity, and a quantity that depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called the rate of increment of dependent quantity per unit increment in independent quantity.

Speed can be calculated as the ratio of the distance traveled to the time taken by the object.

We have been given that horses can run at a top speed of 18⅕  miles in 1/3 hour.

Therefore, Distance = 18⅕ miles

Speed =  18⅕  miles in 1/3 hour.

Thus, we get;

Unit rate= (18⅕ miles) / (⅓ hour)

Unit rate = ((18⅕)×3 miles)/hour

Unit rate = 54.6 miles per hour

Therefore, the unit rate of the top running speed of a horse in miles per hour is 54.6 miles per hour.

Learn more about speed here;

https://brainly.com/question/7359669

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Answer:

621

629

Step-by-step explanation:

We know that

sin

(

x

+

y

)

=

sin

x

cos

y

+

sin

y

cos

x

If

cos

x

=

8

17

and

sin

y

=

12

37

We can use,

cos

2

x

+

sin

2

x

=

1

and

cos

2

y

+

sin

2

y

=

1

To calculate

sin

x

and

cos

y

sin

2

x

=

1

−

cos

2

x

=

1

−

(

8

17

)

2

=

225

17

2

sin

x

=

15

17

cos

2

y

=

1

−

sin

2

y

=

1

−

(

12

37

)

2

=

1225

37

2

cos

y

=

35

37

so,

sin

(

x

+

y

)

=

15

17

⋅

35

37

+

12

37

⋅

8

17

=

621

629

Answer link

Shwetank Mauria

Nov 22, 2016

sin

(

x

+

y

)

=

621

629

or

−

429

629

depending on the quadrant in which sine and cosine lie.

Explanation:

Before we commence further, it may be mentioned that as

cos

x

=

8

17

,

x

is in

Q

1

or

Q

4

i.e.

sin

x

could be positive or negative and as

sin

y

=

12

37

,

y

is in

Q

1

or

Q

2

i.e.

cos

y

could be positive or negative.

Hence four combinations for

(

x

+

y

)

are there and for

sin

(

x

+

y

)

=

sin

x

cos

y

+

cos

x

sin

y

, there are four possibilities.

Now as

cos

x

=

8

17

,

sin

x

=

√

1

−

(

8

17

)

2

=

√

1

−

64

289

=

√

225

289

=

±

15

17

and

as

sin

y

=

12

37

,

cos

y

=

√

1

−

(

12

37

)

2

=

√

1

−

144

1369

=

√

1225

1369

=

±

35

37

Hence,

(1) when

x

and

y

are in

Q

1

sin

(

x

+

y

)

=

15

17

×

35

37

+

8

17

×

12

37

=

525

+

96

629

=

621

629

(2) when

x

is in

Q

1

and

y

is in

Q

2

sin

(

x

+

y

)

=

15

17

×

−

35

37

+

8

17

×

12

37

=

−

525

+

96

629

=

−

429

629

(3) when

x

is in

Q

4

and

y

is in

Q

2

sin

(

x

+

y

)

=

−

15

17

×

−

35

37

+

8

17

×

12

37

=

525

+

96

629

=

621

629

(4) when

x

is in

Q

4

and

y

is in

Q

1

sin

(

x

+

y

)

=

−

15

17

×

35

37

+

8

17

×

12

37

=

−

525

+

96

629

=

−

429

629

Hence,

sin

(

x

+

y

)

=

621

629

or

−

429

629