The dolphins are feed 64 buckets of fish each day. The penguins are feed 1/8 as many buckets of fish as the dolphins. How many buckets of fish do the penguins eat?

Step-by-step explanation:

Volume of square pyramid

= (Base length)² * (Height/3).

Therefore we have 8 = 2² * (h/3).

=> 8 = 4 * (h/3), h/3 = 2, h = 6.

Hence the height is 6 feet. (1)

Answer:

x = 5, and y = 8

Step-by-step explanation:

You can solve this system by solving either of the equations for either x or y, and substituting that into the other.

Since the first equation is already defined for y, let's substitute that into the second equation:

4x - 5y = -20

4x - 5(3x - 7) = -20

4x - 15x + 35 = -20

4x - 15x = -20 - 35

-11x = -55

x = 5

We can then plug that into either of the original equations to find y:

y = 3x - 7

y = 3 * 5 - 7

y = 15 - 7

y = 8

We can also verify our answer by plugging one of the values into either of the original equations and seeing what we get:

4x - 5y = -20

4x - 5 * 8 = -20

4x - 40 = -20

4x = 20

x = 5

So we know the answer is correct.  x is equal to five, and y is equal to eight.

Answer:

The greatest number of rows is 10.

To find this you can do 32 plus 28 which equals 60 then you know 60 divided by 10 is 6 so you could have six rows and six columns or 10 rows and six columns and 10 is greater than six.

So, the greatest number of rows you can have is 10.

Answer:

A ; D ; B ; D

Step-by-step explanation:

Given the data:

Dependent Independent

Variable Variable

Y ___ X

5 __ 15

7 __ 12

9 __ 10

11 __ 7

The general regression equation is of the form /

Y = B0 + BiX

Y = dependent variable ; B0 = intercept ` B1 = slope ; X = independent variable

Using calculator, the model obtained for the model is :

Y = 16.41176 - 0.7647x

Hence,

Least square estimate for b1 = - 0.7647

Least square estimate for b0 = 16.41176

Correlation Coefficient (R) = - 0.99705

The Coefficient of determination (R²) = - 0.99705^2 = 0.994108

.

Answer:

Answer: How many greeting cards he sells

Step-by-step explanation:

The cards are 5 dollars each. 1.99 for shipping is all the same. The only thing that changes is the amount that he sells. So the amount of Greeting cards sold is the dependent variable.

Answer:

<CGD

Step-by-step explanation:

Since m<CGB = right angle = 90°, therefore:

m<CGE = 90° (linear pair angles)

Complementary angles add up to 90°.

Thus, m<CGD + m<DGE = m<CGE = 90°.

Therefore, the angle that is complementary to <DGE is <CGD

Answer:

hope this helps, brainlist? (OwO)

Step-by-step explanation:

I think the answer is 27.89 feet, C

The building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Lenght of the ladder = 32 foot

The angle formed between the ladder and the ground = 29.37°

The ladder, wall of the building, and the ground are making a right-angle triangle.

Let's suppose the base of the ladder is x feet far from the building.

Applying the Cos ratio to find the value of x:

[tex]\rm Cos29.37\°=\frac{x}{32}[/tex]

x = 27.887 feet or     (Cos29.37°  = 0.871)

x = 27.89 feet

Thus, the building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.

Know more about trigonometry here:

brainly.com/question/26719838

SPJ2

Answer:

beesechurger

Step-by-step explanation:

Answer:

Step-by-step explanation:

Gabriela's mass :  Pierre's mass = 3 : 8

Gabriela's mass =  3x

Pierre's mass = 8x

Total mass= (1/4) of  total height

3x + 8x = [tex]\frac{1}{4}(110 + 154)[/tex]

      11x = [tex]\frac{1}{4}*264[/tex]

      11x = 66

         x = 66/11

        x = 6

Gabriela's mass =  3x = 3*6 = 18 Kg

Pierre's mass = 8x = 8*6  = 48 kg

Answer:

a) 4:6= 2:3 or 2/3 or .666666

b) 10:4= 5:2 or 5/2 or 2.5

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Assuming that you put the wrong sign for the second equation if you plug (2,7) into the two equations it only works for one equation.

12

3 + 3 + 3 + 3 = 12

3 x 4 = 12

Thanks!! <3

Answer:

Part A - 17 full weeks

Part B - 8 hours and 30 minutes

Step-by-step explanation:

Key skills needed: Rate of change, Equation Creating & Solving

PART A

1) We need to make an equation for the amount of money Patrick saves each week. He earns $6.00 and then spends $2.00

Since he saves the rest, the amount of money he saves each week is

---> $6.00 - $2.00 = $6 - $2 = $4

2) Since Patrick saves $4 a week, let's say that the number of weeks is "[tex]w[/tex]"

Since the game costs $68 we can make the equation

--> [tex]4w = 68[/tex]

4 is the money he saves each week.

w is the number of weeks he saves

68 is the cost of the game

3) Divide by 4 on both sides and you will get --> [tex]w = 17[/tex]

(68 divided by 4 is equal to 17)

Therefore 17 full weeks is your answer.

Part B

1) Patrick earns 4 dollars for each lawn mowed. Each lawn takes 30 minutes to mow.

30 minutes is half an hour ---> This means that for each hour he would be making $8 (since $4 x 2 = $8)

2)  So if we say the number of hours is "[tex]h[/tex]", the equation we can make is

---> [tex]8h = 68[/tex]

8 is the money he makes per hour

h is the number of hours he mows the lawns

68 is the cost of the game he wants to buy for his friend

3) Divide both sides by 8 and you will get

--> [tex]h = 8.5[/tex]

(68 divided by 8 is 8.5 (8 and a half))

This means that he needs to mow lawns for 8.5 hours in order to buy the video game for his friend.

8.5 hours is the same as 8 hours and 30 minutes, which is the answer.

Hope you understand and have a nice day!! :D

Answer:

similar

Step-by-step explanation:

Answer:

80:280

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

[tex]3[- x + (2x + 1)] = x - 1[/tex]

[tex] = > 3[ - x + 2x + 1 ] = x - 1[/tex]

[tex] = > 3[x + 1] = x - 1[/tex]

[tex] = > 3x + 3 = x - 1[/tex]

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

[tex] = > 2x = - 4[/tex]

[tex] = > x = \frac{ - 4}{2} = - 2[/tex]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\frac{3x+2}{2x-1}[/tex]

at x₁ = a,

[tex]f\left(x_1\right)=f\left(a\right)=\frac{3a+2}{2a-1}[/tex]

at x₂ = a+h,

[tex]f\left(x_2\right)=f\left(a+h\right)=\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}[/tex]

Using the formula to determine the average rate of change

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                      [tex]=\:\frac{\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}-\frac{3a+2}{2a-1}}{a+h-a}\:\:\:\:\:\:\:[/tex]

as a+h-a = h, so    

                      [tex]=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]

Thus, the everarge rate of chnage:  [tex]\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]

We can further simplify such as:

[tex]=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]

[tex]=\frac{-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}[/tex]

[tex]=-\frac{\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}[/tex]

[tex]=-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)h}[/tex]

Cancel the common factor h

[tex]=-\frac{7}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}[/tex]            

Answer:

7/9 = 21/27 hope this helps

Step-by-step explanation:

Answer:

18/3 is 6

-18/3 is -6

-18/(-3) is 6

18/(-3) is -6

Answer:

Step-by-step explanation:

Given function is,

f(x) = [tex]x\sqrt{x}[/tex]

We can rewrite this function as,

f(x) = [tex]x^{\frac{3}{2}}[/tex]

a). Domain of the function is [0, ∞)

Derivative of the function in this domain,

f'(x) = [tex]\frac{3}{2}x^{(\frac{3}{2}-1)}[/tex]

     = [tex]\frac{3}{2}x^{\frac{1}{2}}[/tex]

Since, f'(x) > 0 in the interval [0, ∞)

Function is increasing in the interval [0, ∞)

b). For local maxima and local minima,

  Second derivative of the function,

  f"(x) = [tex]\frac{3}{2}(\frac{1}{2})x^{\frac{1}{2}-1}[/tex]

         = [tex]\frac{3}{4}x^{-\frac{1}{2}}[/tex]  > 0

   So the function should have a local minima.

   But the function is continuous in the interval x ≥ 0,

   There is no local minima (only absolute minima).

c). Since, second derivative is undefined at x = 0,

   There are no inflection points.

d). Since, f"(x) > 0 in the interval [0, ∞)

   Concavity of the curve is UPWARDS.

Step-by-step explanation:

parallel

8g - 3 = 25

8g = 25 + 3

8g = 28

g = 28/8

g = 14/4

f + 30 + 72 = 180 (straight angle = 180°)

f = 180 - 30 - 72

= 78

Answer:

[tex]x = 24.8394847[/tex]

[tex]x = 13.69707998[/tex]

[tex]x = 36.24913792[/tex]

[tex]x = 10.72380529[/tex]

Step-by-step explanation:

[tex]1.[/tex]

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex]c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]c = \sqrt{ {16}^{2} + {19}^{2} } [/tex]

[tex]c = \sqrt{256 + 361} [/tex]

[tex]c = \sqrt{617} [/tex]

[tex]c = 24.8394847[/tex]

[tex]x = 24.8394847[/tex]

[tex]x \approx24.8[/tex]

[tex]2.[/tex]

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]

[tex]a = \sqrt{ {16.5}^{2} - {9.2}^{2} } [/tex]

[tex]a = \sqrt{272.25 - 84.64} [/tex]

[tex]a = \sqrt{187.61} [/tex]

[tex]a = 13.69707998[/tex]

[tex]x = 13.69707998[/tex]

[tex]x \approx13.7[/tex]

[tex]3.[/tex]

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex]c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]c = \sqrt{ {30 \div 2}^{2} + {33}^{2} } [/tex]

[tex]c = \sqrt{ {15}^{2} + {33}^{2} } [/tex]

[tex]c = \sqrt{225 + 1089} [/tex]

[tex]c = \sqrt{1314} [/tex]

[tex]c = 36.24913792[/tex]

[tex]x = 36.24913792[/tex]

[tex]x \approx36.2[/tex]

[tex]4.[/tex]

[tex] {a}^{2} = {c}^{2} + {b}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex]a = \sqrt{ {25}^{2} - {16}^{2} } [/tex]

[tex]a = \sqrt{625 - 256} [/tex]

[tex]a = \sqrt{369} [/tex]

[tex]a = 19.20937271[/tex]

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]

[tex]a = \sqrt{ {22}^{2} - { \sqrt{369} }^{2} } [/tex]

[tex]a = \sqrt{484 - 369} [/tex]

[tex]a = \sqrt{115} [/tex]

[tex]a = 10.72380529[/tex]

[tex]x = 10.72380529[/tex]

[tex]x \approx10.7[/tex]

Answer:

its option A

Step-by-step explanation:

Yes the are simailer because of SSS

Answer:

%18 tip

Step-by-step explanation:

The dinner cost was $29 before tip

after tip it was $32.22

34.22-29= $5.22  she tipped

$29 * %x = $5.22

After solving this equation, the x is %18

Answer:

FGCG

Step-by-step explanation:

Answer:   72 dollars

Step-by-step explanation:

each=1

1 record cost 9$

8 record costs (9)(8)$

I did multiplication here

(9)(8)=72 $

Answer:

3) 21/60= 0.35

4) 5/4= 1.25

5) 9/15= 0.6 or 2/3

6) 378/15= 25.2 or 25 and 1/5

7) 1 1/2/ 2/3= 2.5

8) 28 1/3 / 3 1/3= 8.5

Step-by-step explanation:

hope this helps!

mark me brainliest please!