a rectangular fish tank is 50 cm long, 40 cm wide, and 30 cm high.

a) how many cubic centimeters of water will the tank hold?

b) how many milliliters of water will the tank hold?

c) how many liters of water will the tank hold?

Answer:

Option C. 3

Step-by-step explanation:

Let M1 be the slope of the red line

Let M2 be the slope of the green line

From the question:

Slope of red line (M1) = – 1/3

Slope of green line (M2) =.?

The slopes of perpendicular lines are related as follow:

M1 = –1 / M2

With the above formula, the slope of the green line (M2) can be obtained as illustrated below:

Slope of red line (M1) = – 1/3

Slope of green line (M2) =.?

M1 = –1 / M2

– 1/3 = –1 / M2

Cross multiply

– 1 × M2 = – 1 × 3

– 1 × M2 = – 3

Divide both side by –1

M2 = – 3/ –1

M2= 3

Therefore, the slope of the green line is 3.

Answer:

  an = 5n -7

Step-by-step explanation:

Try the offered formulas with n= 1 and see which gives you the first term of the sequence.

an = -2n +3

  -2(1) +3 = 1 . . . . not -2

an = -2n +7

  -2(1) +7 = 5 . . . . not -2

an = 5n +3

  5(1) +3 = 8 . . . . not -2

an = 5n -7

  5(1) -7 = -2 . . . . this is the formula you want

_____

If you recognize the common difference of the sequence to be 5, then you can automatically eliminate any formulas that don't contain 5n.

Answer: 16m²

Step-by-step explanation:

A large rectangle has side lengths of 8 meters and 6 meters. This means that the area of the large rectangle will be:

= 8m × 6m

= 48m²

A smaller rectangle with side lengths of 4 meters and 2 meters is cut out of the large rectangle. Then, the area of the smaller rectangle will be:

= 4m × 2m

= 8m²

Since the smaller rectangle with side lengths of 4 meters and 2 meters is cut out of the large rectangle whose length is 8, meters and 6 meters, the remaining part of the rectangle will have length of (8m - 4m) = 4m and (6m - 2m) = 4m.

Area of the remaining part of the large rectangle will be:

= 4m × 4m

= 16m²

Answer:

(b) 0

Step-by-step explanation:

Assuming a typo in the last term:

5 (1728)^(1/3) + 100(81)^(1/4) - ( 6(10)^(1/2) )^2

=5(12) + 100(3) -36(10)

=60+300-360

=0

Answer:

[tex]\boxed{\sf (b) \ 0}[/tex]

Step-by-step explanation:

[tex]\sf 5\sqrt[3]{1728} +100\sqrt[4]{81} -(6\sqrt{10} )^2[/tex]

[tex]\sf Evaluate.[/tex]

[tex]\sf 5(12)+100(3) -((6)^2 (\sqrt{10})^2)[/tex]

[tex]\sf 60+300 -(36(10))[/tex]

[tex]\sf 360-360[/tex]

[tex]\sf 0[/tex]

Answer and Step-by-step explanation:

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

Now let's solve by using this statement..

1. Yes they are, cause they have excatly the same three sides and excatly the same three angles.

2. no they are not, cause they do not have excatly the same three sides and excatly the same three angles.

3. Yes they are, cause they have excatly the same three sides and excatly the same three angles.

4. Yes they are, cause they have excatly the same three sides and excatly the same three angles.

5. Yes they are, cause they have excatly the same three sides and excatly the same three angles.

6. Yes they are, cause they have excatly the same three sides and excatly the same three angles.

Hope this helped... If yes plz mark as BRAINLIEST and follow me.

Tysmm!!!

Answer:

m∠P: 52 degrees.

m∠Q: 128 degrees.

Step-by-step explanation:

In a rhombus, opposite angles are equal, and all angles add to be 360 degrees.

This means that m∠P = m∠P, and m∠Q = m∠S. Because that is the case, m∠P + m∠Q = 180 degrees.

(2w - 62) + (w + 71) = 180

2w + w - 62 + 71 = 180

3w + 9 = 180

3w = 171

w = 57

Now that we have the value of w, we can find the m∠P and m∠Q!

m∠P: (2 * 57) - 62 = 114 - 62 = 52 degrees

m∠Q: (57 + 71) = 128 degrees

To make sure we are right...

128 + 52 = 180

Hope this helps!

Answer: x=35

Step-by-step explanation:

There are 720 degrees total in a hexagon. So, all of the angles should add up to that. Write out the equation

720= (4x-5)+(117)+(3x-3)+(3x+6)+(118)+(4x-3)

720=14x+230

490=14x

x=35

hope this helped you:)

Answer:

1/17

Step-by-step explanation:

You're on the right track so far!

(2³ + 3²) ⁻¹

= (8 + 9) ⁻¹

= (17) ⁻¹

= 1/17 (Remember, (a)⁻ⁿ = 1 / aⁿ)

Hi there!! (✿◕‿◕)

⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐

A = 2   B = 3

(a^b + b^a)^-1

(2^3 + 3^2)^-1

1/7 or 0.058824

Hope this helped!!  ٩(◕‿◕｡)۶

Answer:

Step-by-step explanation:

We are given the position function and need to find the value of t when h<17.

Create an inequality that represents this situation:

[tex]-16t^2+81<17[/tex] The "less than" sign makes this very specifically a conjunction problem as opposed to a disjunction. That's important to the solution. But we'll get there.

The simplest way to solve this is to subtract 81 from both sides:

[tex]-16t^2<-64[/tex] then divide both sides by -16:

[tex]t^2>4[/tex] Notice now that the sign is facing the other way since we had to divide by a negative number. Now it's a disjunction. The solution set to this inequality is that t>2 or t<-2. First and foremost, time will never be negative, so we can disregard the -2. Even if that was t<2, the more time that goes by, the greater the time interval is, not the lesser. It's the "<" that doesn't make sense, not only the -2. The solution to this inequality is

t > 2 sec. That means that after 2 seconds, the height of the ball is less than 17 feet.

Answer:

A on edg

Step-by-step explanation:

Answer:

N= 9/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] \frac{n - 6}{ - 4} = 6[/tex]

Cross multiply

We have

n - 6 = - 4 × 6

n - 6 = - 24

n = - 24 + 6

Hope this helps you

Answer:

3 seconds

Step-by-step explanation:

Given the function :

h(t) = 16t2 - 144.

h = height = 144 and t = time after t seconds the ball penny was dropped.

When the penny lands, h = 0

Therefore, our function becomes ;

16t2 - 144 = 0

The we can solve for t

16t^2 - 144 = 0

16t^2 = 144

Divide both sides by 16

(16t^2 / 16) = 144 / 16

t^2 = 9

Take the square root of both sides

t = 3

Therefore, the time between when the rock was dropped and when it landed is 3seconds

Answer:

t = 3 seconds

Step-by-step explanation:

Answer:

fx/gx=10

Step-by-step explanation:

fx= (36x5)-(44x4)-(28x3)

fx=80

gx= 4x2

gx=8

To work out fx/gx:

fx/gx=80/8

fx/gx=10

Answer:

0.03

Step-by-step explanation:

Khan

The amount of money the Trevor's family pay per minute on shower water is $0.03

Cost of water used per minute = Water used by each person per month / Time each person spent bathing × Cost of water per liter

= 72 / 480 × 0.20

= 0.15 × 0.20

= $0.03

Learn more about cost:

https://brainly.com/question/19104371

Answer:

85%

Step-by-step explanation:

Let’s identify all the outcomes less than 10, that would be 2-9

The number of times the die was rolled is obtainable by adding all the frequencies ;

That would be ;

3 + 6 + 8 + 11 + 14 + 16 + 15 + 12 + 9 + 5 + 1 = 100

Now let’s add the frequencies of results which are less than 10;

That would be the frequencies of the numbers 2-9;

Thus, we have;

3 + 6 + 8 + 11 + 14 + 16 + 15 + 12 = 85

The required probability of rolling a number less than 10 = 85/100 = 0.85 which to the nearest percent is 85%

Answer:

51

Step-by-step explanation:

Well we first need to find the volume of the soup in the pot using the following formula,

πr^2h

15*15 = 225

225 * 25 = 5625

5625 * pi = 17671.46

Now we need to find the volume of the ice cube using the formula,

l*w*h

7*7*7 = 343

Now we do 17671.46 ÷ 343 = 51.5202915452

You can have half an ice cube,

thus, Sharon can make 51 whole cubes.

Hope this helps :)

Answer:

130 cubes  ( if the cylindrical height is 25 in )

51 cubes ( if the cylindrical height is 25 cm)

Step-by-step explanation:

cube edges = 7 cm long

volume of the soup = pi * r² * h

where h = 25in convert it to cm = 25 in * 2.54 cm/1 in = 63.5 cm

cylindrical pot diameter d = 30 cm

Volume of cylindrical pot = 3.14 * 15² * 63.5 = 44,885.5 cm³

Volume of ice cube = 7 * 7 * 7 = 343 cm³

to get the number of cubes = 44,885.5 / 343 = 130 cubes

therefore, Sharon can make 130 whole cubes

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

if the cylindrical height is 25cm then

Volume of cylindrical pot = 3.14 * 15² * 25 = 17,671.5 cm³

Volume of ice cube = 7 * 7 * 7 = 343 cm³

to get the number of cubes = 17,671.5 / 343 = 51 cubes

Answer:

  24 minutes

Step-by-step explanation:

Working at the same speed, the ratio of time to length is the same:

  time/length = t/12 = 3/(1.5)

  t = 12(3/1.5) = 12(2) = 24

It will take Mark 24 minutes to make a 12-inch bracelet.

Answer:

  4 cm

Step-by-step explanation:

The milk fills 12 cm of the 15 cm height, so fills 12/15 = 4/5 of the volume of the container.

When the container is laid flat so that the 5 cm direction is the height, the milk still fills 4/5 of the height. The dept of the milk in that configuration is ...

  (4/5)(5 cm) = 4 cm

Answer:

Depth = 4cm

Step-by-step explanation:

Well if the milk is turned to its orange side then 4cm will be depth because that's the new height.

Thus,

the new depth is 4cm.

Hope this helps :)

Answer:

1808 people

Step-by-step explanation:

Find 1% by dividing by 100.

1600/100=16

Multiply 16 by 13.

208

Add it to 1600.

1808

There are now 1808 people.

Answer:

First determine the integers the x-coordinate and the y-coordinate are between. Then look at each to decide which integer the x- or y-value is closer to, and approximate the coordinate value to the tenths place.

Step-by-step explanation: Sample Response on Edge

The estimation of the solution to the tenths place is given below.

What is rounding off?

Rounding numbers refers to changing a number's digits such that it approximates a value. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.

Given that;

A graph of a system that has exactly one solution.

Now,

Let a solution of the graph of a system = (2.37, 1)

So, We can estimate the solution of the system to tenth place as;

⇒ 2.37 = 2.4 (round to tenth place)

Thus, The solution of the system to the tenths place will be;

⇒ (2.3 , 1)

Learn more about the rounding number visit:

https://brainly.com/question/1620496

#SPJ2

Answer:

Step-by-step explanation:

Given the expression

[tex]40=\frac{90^2}{16} sinxcosx\\\\Cross\ multiplying;\\\\16*40 = 90^2 sinxcosx\\\\640 = 90^2 sinxcosx\\\\\frac{640}{8100} = sinxcosx\\ from\ trig\ identity, sin2x = 2sinxcosx\\sinxcosx = sin2x/2\\[/tex]

[tex]Hence, \ \frac{640}{8100} = \frac{sin2x}{2} \\\\\frac{2*640}{8100} = sin2x\\ \\\frac{1280}{8100}=sin2x\\ \\0.158 = sin2x\\\\2x = sin^{-1} 0.158\\\\2x = 9.09\\x = 9.09/2\\x =4.545[/tex]

Answer:

5 years

Step-by-step explanation:

Firstly, Let's use a function to find how much Jenny owes every year.

Using f(t)=3,000(1.18)^t

We can find the amount of money jenny owes every year.

Now let's try to find how many years it would take her to double her credit card debt.

If we change t=5, we can see that the function gives us an output of 6,863.27 which is double the amount of which she currently owes.

Answer:

B. [tex]H(x)=-.008(x-82)^{2}+83[/tex]

Step-by-step explanation:

Well lets graph the following equation first,

H(x) = -.011(x - 82)^2 + 75

Then lets graph all the other equations.

Look at the image below↓

So A.

The purple line does not go farther or higher,

so A. is incorrect

B.

The black line goes higher and farther,

meaning it is correct.

C.

The red line goes farther but not higher.

So it is incorrect

D.

Again the blue line does not go farther of higher.

So its wrong.

Thus,

answer choice B. [tex]H(x)=-.008(x-82)^{2}+83[/tex] is correct.

Hope this helps :)

Explanation:

f(x) = x^3

f(x+4) = (x+4)^3 .... shifts graph 4 units to the left

f(x+4) - 6 = (x+4)^3 - 6 ... shifts 6 units down

The change from x to x+4 means the xy axis has moved four units to the right (since each input is now 4 units larger). If we hold the curve y = x^3 to be completely still while the xy axis moves 4 units to the right, then the illusion of the curve moving 4 units to the left happens.

The -6 at the end does what you'd expect it to do, and there is no opposites going on here. Whatever the y value is, subtract 6 from it to get the new y value. Effectively this moves the graph down 6 units.

Answer:

Using the given information in the problem, the value of f  is 9

Step-by-step explanation:

In this problem, we will be using tangent, Tangent is the opposite side divided by the adjacent side from the given angle. The given angle that we will be using for this problem is the measurement of ∠F which is 58°. We will use this for our equation.

Let's set up our equation for tangent.

[tex]Tan(58)=\frac{15}{f}[/tex]

Since we are looking for f , then we will rearrange the equation.

[tex]f=\frac{15}{tan(58)}[/tex]

Now, we will solve for x. You can use a calculator to do these calculations.

[tex]f=9[/tex]

So, the value of f in the triangle is 9.

Answer:  f=9

Because quick mafs says so

Answer:

option c is the right answer

Answer:

Explanation:

We know that , if any vertical line cuts the given graph of relation at exactly one point, then the relation can be called as function.

From Given graph , we find that the vertical line through any point on x-axis greater than zero (ex : X = 5) cuts the graph at more than one point.

Hence, Given relation is not a function.

Hope this helps...

Good luck on your assignment...

Answer:

(4,0)

Step-by-step explanation:

The zeros of the quadratic functions are where it crosses the x axis

It crosses at x=-2 and x=4

( -2,0) and (4,0)

Answer:

[tex]\boxed{(4,0)}[/tex]

Step-by-step explanation:

A zero of a quadratic function is where the parabola touches a point on the x-axis.

The parabola touches two points on the x-axis:

(4, 0) and (-2, 0)

A zero of the quadratic function is (4, 0).

Answer:

The correct answer is:

Poisson (A.)

Step-by-step explanation:

A Poisson distribution is used to model the number of events occurring within a given time interval, when the average number of times that the event occurs within the time interval is given.

Lambda ( λ ) is a rate parameter in Poisson's distribution, and it is used to represent "event/time", and it simply represents the expected number of events in the interval.

Answer:

1/4 is the answer

Step-by-step explanation:

I am not sure how to explain but the answer is 1/4

Answer:

1/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the question ( 4x + 7)° and [5(x - 4)]° are vertically opposite

Since vertically opposite angles are equal we can equate them to find x

That's

4x + 7 = 5(x - 4)

4x + 7 = 5x - 20

Group like terms

5x - 4x = 20 + 7

Hope this helps you