A dolphin is swimming 4 feet below the surface of the water. The number -4 represents the dolphin's position relative to the surface of the water. What position does the number 4 represent?

Answer:

The answer is below

Step-by-step explanation:

Let x represent the length of the rectangular pen and y represent the width of the rectangular pen.

One side of the pen uses the barn wall, hence the remaining side is 64 m, hence:

x + 2y = 64

x = 64 - 2y       (1)

The area of the wall is the product of the length and the width, hence:

Area (A) = length * width = xy = (64 - 2y)y = 64y - 2y²

A = 64y - 2y²

The maximum area of the dog house is gotten when the derivative of the area is equal to 0. Hence:

A' = 64 - 4y = 0

64 - 4y = 0

4y = 64

y = 16 m

Put y = 16, in equation 1 to find x:

x = 64 - 2(16) = 32 m

x = 32 m

Therefore the pen has a length of 32 m and width of 16 m.

Answer:

A(max) =  512 m²

Dimensions:

x  =  32  m

y  =  16  m

Step-by-step explanation:

Area of the rectangular pen:

A(p) = x*y            x   and   y  sides of the rectangle. A barn will be used in place of a fence; let´s say that only one  x side will be fenced, then the perimeter of the rectangle is:

p  =  x  +  2*y         64  =  x  * 2*y      y  =  (  64  -  x ) / 2

A(p)  =  x*y

Area as a function of x

A(x)  =  x * ( 64  -  x  )/ 2

A(x)  = ( 64*x - x² ) /2

Tacking derivatives on both sides of the equation

A´(x)  = ( 64  -2*x )/2

A´(x)  =  0        64  - 2*x  = 0         2*x  =  64     x  =  32  m

y  =  (  64 - x ) / 2        y  =  (  64  -  32 )/2        y  = 16 m

A(max) =  32 *  16  = 512 m²

To check if x = 32 will bring a maximum to function A(x)

We take the second derivative

A´´(x)  = -  x/4          A´´(x)  < 0   then  x  =  32 is a local maximum

Answer:

the first one i think

Step-by-step explanation:

Answer:

first one

Step-by-step explanation:

Answer:

1)C

2)C

Step-by-step explanation:

Fiz no Classroom!!!

Answer:

the answer will be volume

please mark the answer as the brainlliest one

Answer:

please look at the picture l. it is solved there. hope this helps.. do mark me as brainliest

Answer:

a)     y + 3y + (y - 2) + 4(y - 2) = 116

b)     y = 14

c)     48

Step-by-step explanation:

Sasha says. I am y years old.       y

mother's age is 3 times my age     3y

brother is 2 years younger than me      y - 2

father's age is 4 times my brother's age     4(y - 2)

-------------------------------

total of our four ages is 116 years.

a) Write an equation to show this.

y + 3y + (y - 2) + 4(y - 2) = 116

b) Solve the equation.

distribute

y + 3y + y - 2 + 4y - 8 = 116

combine like terms

9y - 10 = 116

add 10 to both sides

9y = 126

Divide both sides by 9

y = 14

c) How old is Sasha's father?​

4(y - 2)

4(14 - 2)

4(12)

48

Answer:

Step-by-step explanation:

In ΔFYG & ΔBUH

∠F = ∠B

FY = BU

YG = UH

ΔFYG ≅ ΔBUH   { Angle Side Side congruent}

PQ is an angle bisector since it is splitting the angle RPS in half to RPQ and SPQ

Answer:

[tex](x-4)^2+(y+1)^2=29[/tex]

Step-by-step explanation:

We want to find a circle whose diameter has the endpoints (6, 4) and (2, -6).

Since this is the diameter, its midpoint will be the center of the circle. Find the midpoint:

[tex]\displaystyle M=\left(\frac{6+2}{2}, \frac{4+(-6)}2}\right)=(4, -1)[/tex]

So, the center of our circle is (4, -1).

Next, to find the radius, we can find the length of the diameter and divide it by half.

Using the distance formula, find the length of the diameter:

[tex]\begin{aligned} d&=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ &=\sqrt{(2-6)^2+(-6-4)^2}\\\\&=\sqrt{(4)^2+(-10)^2}\\\\&=\sqrt{116}\\\\&=2\sqrt{29}\end{aligned}[/tex]

So, the radius will be:

[tex]\displaystyle r=\frac{1}{2}d=\frac{1}{2}\left(2\sqrt{29}\right)=\sqrt{29}[/tex]

The equation for a circle is given by:

[tex]\displaystyle (x-h)^2+(y-k)^2=r^2[/tex]

Substitute:

[tex](x-4)^2+(y+1)^2=29[/tex]

Answer:

a) (4,7/2)

Step-by-step explanation:

Midpoint Formula:

[(-1+9)/2], [(2+5)/2]

(8/2, 7/2) = (4, 7/2)

Answer:

g(x) = [tex]-\frac{2}{5} (10)^{x}[/tex]

Step-by-step explanation:

Looking at the equation of a Exponential Function:

The a-value [tex](\frac{2}{5})[/tex] determines whether the function reflects over the x-axis. If it's negative it reflects over the x-axis. If it's positive it stays over the x-axis.

Answer:

[tex]Pr = 0.0479[/tex]

Step-by-step explanation:

Given

[tex]p =23\%[/tex] --- proportion of completed passes

Required

The probability that he has 6 incomplete before he has 1 completion

Let:

[tex]q \to[/tex] proportion of back passes not completed

Using complement rule:

[tex]q = 1 - p[/tex]

[tex]q = 1 - 23\%[/tex]

[tex]q = 1 - 0.23[/tex]

[tex]q = 0.77[/tex]

The event that he has 6 incomplete passes before he completed one is:

q q q q q q p

And the probability is:

[tex]Pr = q * q * q * q * q * q * p[/tex]

[tex]Pr = q^6* p[/tex]

[tex]Pr = 0.77^6* 0.23[/tex]

[tex]Pr = 0.0479[/tex]

Answer:

75π / 2

Step-by-step explanation:

a = (∅ / 2π) * πr²

a = (3π/4 / 2π) * π(100)

a = (3/8) * 100π

a = 300/8 * π

a = 75/2 * π

a = 75π / 2

Answer:

Answer is b

Step-by-step explanation:

just did it

Answer:

4?

Step-by-step explanation:

So, at from x 0 to x 2, y goes up 4

Answer:

2

Step-by-step explanation:

The rate of change is defined by [tex]\frac{Rise}{Run}[/tex] , [tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1}}[/tex]. or [tex]\frac{Delta y}{Delta x}[/tex].

For your question, the points are (0,4) and (2,8).

Plugging these points into the formula:

[tex]\frac{8-4}{2-8}[/tex]

After calculations, you would end up with [tex]\frac{4}{2}[/tex] or 2.

Answer:

8.82

Step-by-step explanation:

subtotal- 88.24

total- 92.65

total with tip-111.18

change- 8.82

Answer:

12.5a + 6s = 264.5   and   a + s = 30

Step-by-step explanation:

They also intersect at (17, 13)

(17 student tickets, 13 adult tickets)

Good Luck!

Answer:

19 Black Buttons

Step-by-step explanation:

1/4 of 40= 10

1/5 of 40= 8

10+8=18

18+4=21

So there are 21 white grey and orange.

The rest are black so 40-21=19

So 19 black buttons

Hope this helps

Step-by-step explanation:

40 button

1/4×40=10 white

1/5×40=8 grey

4 orange

Total=22

Then,subtract

40-22

=18 black buttons

Answer:

112

Step-by-step explanation:

Answer:

We have

Angle ORQ

we use the Thales theory

From the formulae

A²+B²=C²

consider

A=OR

B=RQ

C=OQ

so

48²+64²=C²

2304+4096=C²

6400=C²

(6400)¹/²=(C²)¹/²

80=C

But

C=OQ

《OQ=80

Answer:

x=4, y=-2

Step-by-step explanation:

Answer:

x = 4

y = - 2

Step-by-step explanation:

3x + 8y = - 4

2x - 4y = 16                 Multiply the second equation by 2 and add it to the 1st

3x + 8y = - 4

4x - 8y = 32               Add

7x = 28                      Divide by 7

7x/7 = 28/7

x = 4

2x - 4y = 16              Substitute 4 for x

2*4 - 4y = 16            Combine  

8 - 4y = 16                Subtract 8 from both sides

-4y = 16 - 8

-4y = 8                     Divide by -4

y = 8/-4      

y = - 2

The value of angle tanA in a right-angle triangle is 12/5. The correct option is C.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that the three sides of the right-angled triangle are AB = 26, BC = 24, and AC = 10.

The value of angle tanA will be calculated as:-

tanA = P / B

tanA = 24 / 10

tanA = 12 / 5

Hence, the value of angle tanA in a right-angle triangle is 12/5. The correct option is C.

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ1

The answer is the D ( the last one)

Answer:

I believe it’s 3/8 since it’s the highest and that’s the weight most kittens are in the graph.

Step-by-step explanation:

If you want you could wait for somebody else to respond since I could be wrong, but I still hope I was able to help :)

Answer:

95 ≤ 8 < 1/7n

Step-by-step explanation:

95 ≤ 8 < 1/7n

no more = less than or equal to

product of a number n and 1/7 = 1/7•n = 1/7n

Step-by-step explanation:

the work will be finished in 26 daysplease mark the answer as the brainliest

Answer:

Step-by-step explanation:

Hope this helps u !!

Step-by-step explanation:

11/12-?=2/3

11/12-2/3=?

11-8/12=?

3/12

=1/4

Answer:

? = 1/4

Step-by-step explanation:

11 / 12 - ? = 2 / 3

- ? = 2/3 - 11/12

- ? = - 1/4

? = 1/4

Answer:

b = 7.14cm

Step-by-step explanation:

For this question, we need to use the pythagorean theorem, since it is a right triangle, and we know two sides. The formula for the Pythagorean theorem is c^2 = a^2 + b^2.

1. a = 5.8cm so a^2 will be 5.8 x 5.8 which is 33.64

2. c = 9.2cm so c^2 will be 9.2 x 9.2 which is 84.64

3. If we add these to our Pythagorean equation, it will be 84.64 = 33.64 + b^2. --> 51 = b^2 --> b = 7.141428....

4. Since we need to round it to two decimal places, b will be 7.14.

m<1=m<2 = 38°

m<3= m<4= 142°

Answer:

Angles 1 and 2 are vertically opposite and angles 3 and 4 are vertically opposite and as such the are congruent.

Angles 1 and 3 are supplementary and angles 2 and 4 are supplementary and as such sum to 180°.