The maximum height reached by the barnacle is _______ m.

Answer:

200

Step-by-step explanation:

Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic meter. Plz mark me brainliest!

Answer:

200 cm^2

Step-by-step explanation:

For a rectangular prism, V = lwh

V = (10 cm)(4 cm)(5 cm) = 200 cm^2

Answer:

answer = 2

4- 10

6- 15

Step-by-step explanation:

i have learned it

Answer:

2

Step-by-step explanation:

Answer:

The surface area of Design A is smaller than the surface area of Design B.

The area of Design A is 94.65% of the Design B.

Step-by-step explanation:

The area of a right cone is given by the sum of the circle area of the base and the lateral area:

[tex] A = \pi r^{2} + \pi rL [/tex]   (1)

Where:

r: is the radius

L: is the slant height  

The slant height is related to the height and to the radius by Pitagoras:

[tex] L^{2} = H^{2} + r^{2} [/tex]  

[tex] L = \sqrt{H^{2} + r^{2}} [/tex]    (2)

By entering equation (2) into (1) we have:

[tex] A = \pi r^{2} + \pi r(\sqrt{H^{2} + r^{2}}) [/tex]  

Now, let's find the area of the two cases.

Design A: height that is double the diameter of the base, H= 2D = 4r

[tex] A_{1} = \pi r^{2} + \pi r(\sqrt{(4r)^{2} + r^{2}}) = \pi r^{2}(1+ \sqrt{17}) [/tex]  

The volume of the cone is:

[tex]V = \frac{1}{3}\pi r^{2}H[/tex]

We can find "r":

[tex] V = \frac{1}{3}\pi r^{2}(4r) = \frac{4}{3}\pi r^{3} [/tex]

[tex] r = \sqrt[3]{\frac{3V}{4\pi}} = \sqrt[3]{\frac{3*1000}{4\pi}} = 6.20 cm [/tex]

The area is:

[tex] A_{1} = \pi (6.20)^{2}(1+ \sqrt{17}) = 618.7 cm^{2} [/tex]  

Design B: height that is triple the diameter of the base, H = 3D = 6r                  

The radius is:

[tex] r = \sqrt[3]{\frac{3V}{6\pi}} = \sqrt[3]{\frac{3*1000}{6\pi}} = 5.42 cm [/tex]  

The area is:

[tex]A_{2} = \pi r^{2} + \pi r(\sqrt{(6r)^{2} + r^{2}}) = \pi r^{2}(1 + \sqrt{37}) = \pi (5.42)^{2}(1 + \sqrt{37}) = 653.7 cm^{2}[/tex]  

Hence, the surface area of Design A is smaller than the surface area of Design B.

The percent of the surface area of Design A is less than Design B by:

[tex] \% A = \frac{618.7 cm^{2}}{653.7 cm^{2}}\times 100 = 94.65 \% [/tex]

Therefore, the area of Design A is 94.65% of the Design B.

I hope it helps you!

Answer:

wy+wz+xy+xz

Step-by-step explanation:

C.) wy+wz+xy+xz  could be factored by grouping.

Method of factorization by grouping the terms:

(i) From the groups of the given expression a factor can be taken out from each group.

(ii) Factorize each group.

(iii) Now take out the factor common to group formed.

= wy + wz + xy + xz

= w(y+z) + x(y+z)

= (w+x)(y+z)

Learn more about factorization by grouping here

https://brainly.com/question/15518817

#SPJ2

Answer:

I think 3cosx+2 would be g(x)

Answer:

5/8 x 4/9 = 20/72 as simplified as 5/18 in fraction form. 5/8 x 4/9 = 0.2778 in decimal form.

Step-by-step explanation:

The product of -4/9 and -5/8 is 5/18.

Given are two negative fractions -4/9 and -5/8, we need to find their product,

To find the product of two negative fractions, you can multiply their numerators together and their denominators together, while keeping the negative sign.

Let's find the product of -4/9 and -5/8:

Product = (-4/9) x (-5/8)

To calculate the product, multiply the numerators and denominators:

Product = (-4 x -5) / (9 x 8)

Simplifying the multiplication:

Product = 20 / 72

Now, you can simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which in this case is 4:

Product = (20/4) / (72/4)

= 5/18

Therefore, the product of -4/9 and -5/8 is 5/18.

Learn more about Fractions click;

https://brainly.com/question/10354322

#SPJ2

Answer:

In a deck of cards, there are 6 faced cards. So, the probability of drawing a faced card is 6 out of 52 cards. Thus, the probability of drawing a face card from a deck of cards is 6/52 = 3/26.

Step-by-step explanation:

Answer:

4/13

Step-by-step explanation:

There are 4 10 cards.

There are 12 face cards.

Probability of both:

4/52 + 12/52 = 16/52 = 4/13

Answer:

12 minutes

Step-by-step explanation:

90/7.5 = 12 minutes

Step-by-step explanation:

the slope is 2 (the cost for each topping)

the y-int is 8,, it represents the initial $8 for the pizza

and i dnt understand wht the last sentence is asking for

Answer:

138 laps in 23 minutes

Step-by-step explanation:

30/5

x/23

5x=690

690/5=138

Step-by-step explanation:

change the directions i think

you have to make the -1 -> 0

you have to multiply by -1

and if you multiply the direction will change

Answer:

2x-6

Step-by-step explanation:

4(3x-5)-2(5x-7)

(12x-20)-(10x-14)

12x-20-10x+14

12x-10x-20+14

2x-6

Answer:

=> first multiply the numbers in bracket

4(3x-5)-2(5x-7) when we multiply for 4 and -2

12x-20-10x+14

=> then collect the like terms

12x-10x-20+14

=> 2x-6

Answer:

y = - [tex]\frac{4}{5}[/tex] x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 12) and (x₂, y₂ ) = (10, 4)

m = [tex]\frac{4-12}{10-0}[/tex] = [tex]\frac{-8}{10}[/tex] = - [tex]\frac{4}{5}[/tex] ← slope of line L

Parallel lines have equal slopes , then

y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation

To find c substitute (5, - 11) into the partial equation

- 11 = - 4 + c ⇒ c = - 11 + 4 = - 7

y = - [tex]\frac{4}{5}[/tex] x - 7 ← equation of parallel line

The equation of the straight line which is parallel to L and passes through the point (5 , -11) will be;

⇒ y = - 4/5x - 7

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The straight line L passes through the points (0 , 12) and (10 , 4).

And, The equation of the straight line which is parallel to L and passes through the point (5 , -11).

Now,

Since, The straight line L passes through the points (0 , 12) and (10 , 4).

So, Equation of line L is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 12 = (4 - 12) / (10 - 0)  (x - 0)

⇒ y - 12 = - 8 / 10x

⇒ 10 (y - 12) = - 8x

⇒ 10y - 120 = - 8x

⇒ 10y = - 8x + 120

⇒ y = - 8/10x + 12

⇒ y = - 4/5x + 12

And, The equation of the straight line which is parallel to L and passes through the point (5 , -11).

So, We need to find the slope of the line.

Since, The slope of the parallel line is same.

Hence, Slope of the line is,

y = -4/5x + 12

m = dy/dx = - 4/5

m = - 4/5

Thus, The equation of line with slope 1- 4/5 is,

⇒ y - (-11) = - 4/5 (x - 5)

⇒ y + 11 = - 4/5 (x - 5)

⇒ 5 (y + 11) = - 4x + 20

⇒ 5y + 55 = - 4x + 20

⇒ 5y = - 4x + 20 - 55

⇒ 5y = - 4x - 35

⇒ y = - 4/5x - 7

Thus, The equation of the straight line which is parallel to L and passes through the point (5 , -11) will be;

⇒ y = - 4/5x - 7

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

Answer:

The answer it probably is C.

Step-by-step explanation:

Just add 16+16+16= 48. Hope this helps

Answer:

The answer is C... 16 units.

Step-by-step explanation:

I had this question on my test and got it correct.

Answer:

12 Tulips

Step-by-step explanation:

Daffodils - 4, 4, 4, 4 = 16

Tulips -       3,3,3,3 = 12

28 flowers in all

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

2, 0.5 and 0.25.

Step-by-step explanation:

The nth term an = a1r^(n-1)  where a1 = first term and r = the common ratio.

The sum to infinity = a1/(1-r)  for  -1 < r < 1.

So we have:

Second term a2 = 1 = a1(r)(2-1) = a1r and

4 = a1/(1 - r)

From the first equation:

a1 =1/r

So substituting in the second equation:

4 = 1/ r / (1 - r)

4 = 1 / r - r^2

4r - 4r^2 = 1

4r^2 - 4r + 1 = 0

(2r - 1)(2r - 1) = 0

r = 0.5

So the first term  a1 = 1/ r =1/0.5 = 2.

The third = 1*0.5 = 0.5

and the 4th = 0.5*0.5 = 0.25.

Answer:

ab- 4.1

gh-31.36

Step-by-step explanation:

Answer:

always

Step-by-step explanation:

so if it isn't it will be an acute or an obtuse

Answer:

720cm^2

Step-by-step explanation:

i dont think this is right answer

Answer:

720cm^2

Step-by-step explanation:

pls dont report

Answer:  1800000000

Step-by-step explanation:

Answer:

200 Times as large

Step-by-step explanation:

Answer:

I just learned this about a few weeks ago I hope this helps.

Step-by-step explanation:

Since it's cosine you're only looking at Adjacent and the hypotenuse which the adj is 20 and the hyp is 25 so since cosine is adj/hyp you do 20/25 then simplify it to 20/25 divide both by 5 so it's simplified to 4/5.

Then you do Cos-1(4/5)=36.869 which is rounded to the tenth 36.9 but rounded to the hundredth 36.87.

Hope this helps

Answer:

y=5x+3

Step-by-step explanation:

Slope is going 5 units up and 1 unit right.

Slope= 5/1 but just the 5 is preferred.

y-intercept=3

Answer:

27.7m

Step-by-step explanation:

Step 1

We find the Circumference of the nylon thread.

The formula = 2πr

The diameter of the thread = 0.88m

Radius = Diameter/2

= 0.88m/2

= 0.44m

Circumference = 2 × π × 0.44m

= 2.7646015352m

Approximately = 2.765m

Step 2

We calculate the distance

Number of revolutions = 10

Therefore, the Distance or how far the metal weight can travel =

Circumference of the wheel × Number of revolutions

= 2.765m × 10

= 27.65m

Approximately to 1 decimal place = 27.7m

Correct Answer is on the attached image

Answer:

A and C

Step-by-step explanation:NLE Choppa said so

Answer:

a and c

Step-by-step explanation:

Answer:

The cost is $75

Step-by-step explanation:

Given

[tex]y = 25x[/tex]

Required

Cost of 3 cubic yards -- Missing from the question

The required means that: [tex]x = 3[/tex]

Plug in [tex]x = 3\\[/tex] to [tex]y = 25x[/tex]

[tex]y = 25 * 3[/tex]

[tex]y = 75[/tex]

The cost is $75

Answer:

a) 160 minutes per day

b) Find the graph attached

c) on 10th week Maria would be walking  2560 minutes per day

Step-by-step explanation:

Week 1 - 5 minutes per day

Week 2 - 10 minutes per day

Week 3 - 20 minutes per day

Week 4 - 40 minutes per day

Week 5 - 80 minutes per day

Week 6 - 160 minutes per day

a) 160 minutes per day

b) Find the graph attached

c) on 10th week Maria would be walking  2560 minutes per day