1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
navik [9.2K]
2 years ago
11

Calculate the volume of this prism 20 cm 30 cm 10 cm

Mathematics
1 answer:
Ghella [55]2 years ago
5 0

Answer:

6000(cm)^{3}

Step-by-step explanation:

30 \times 10 \times 20

300 \times 20

6000(cm)^{3}

<h3>Hope it is helpful...</h3>
You might be interested in
I am a 2 digit number the sum of my digits is 6. I have both 2 and 7 as factors
gogolik [260]
The number is 5 and the factor is 1
6 0
3 years ago
64, –48, 36, –27, ...<br><br> Which formula can be used to describe the sequence?
nordsb [41]

Answer:

\boxed{a_n \:  =  \: 64 \:  \times  \: ( -  \frac{3}{4} ) ^{n \:  -  \: 1} }

Step-by-step explanation:

  • We first compute the ratio of this geometric sequence.

r \:  =  \:  \frac{ - 48}{64}  \\  \\ r   \:  =  \:  \frac{36}{ - 48}  \\  \\  r \:  =  \:  \frac{ - 27}{36}

  • We simplify the fractions:

r \:  =  \:   -  \frac{3 }{4}   \\  \\ r   \:  =  \:   -  \frac{3 }{4}  \\  \\  r \:  =  \:    -  \frac{3 }{4}

  • We deduce that it is the common ratio because it is the same between each pair.

r \:  =  \:  -  \frac{3 }{4}

  • We use the first term and the common ratio to describe the equation:

a_1 \:  =  \: 64; \: r \:  =  \:  -  \frac{3 }{4}

<h3>We apply the data in this formula:</h3>

\boxed{a_n \:  =  \: a_1 \:   \times  \:  {r}^{ n \:  -  \: 1} }

_______________________

<h3>We apply:</h3>

\boxed {\bold{a_n \:  =  \: 64 \:   \times  \:  {( -  \frac{3}{4} )}^{ n \:  -  \: 1} }}

<u>Data</u>: The unknown "n" is the term you want

<h3><em><u>MissSpanish</u></em></h3>
4 0
2 years ago
Write a rule to describe the function shown. x y −6 −4 −3 −2 0 0 3 2 y equals start fraction two over three end fraction x y equ
sertanlavr [38]

Answer:

y=\frac{2}{3} x (y equals start fraction two over three end fraction x)

Step-by-step explanation:

Lest's organize the table values of our function first:

x    y

-6  -4

-3  -2

0   0

3   2

The simplest kind of of function is a linear function of the form y=mx+b where m is the slope and b is the y-intercept. Let's us check if our function is a linear one finding its equation and checking that all points are in the line.

The first step to find a linear equation is find the slope of the line; to do it, we are using the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

where

m is the slope of the line

(x_1,y_1) are the coordinates of the first point

(x_2,y_2) are the coordinates of the second point

We know from our table that the first and second points are (-6, -4) and (-3, -2) respectively, so x_1=-6, y_1=-4, x_2=-3, and y_2=-2.

Replacing values:

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-2-(-4)}{-3-(-6)}

m=\frac{-2+4}{-3+6)}

m=\frac{2}{3)}

Now that we have the slope of our line we can use the point slope formula to complete our linear function:

y-y_1=m(x-x_1)

where

m is the slope

(x_1,y_1) are the coordinates of the first point

Replacing values:

y-y_1=m(x-x_1)

y-(-4)=\frac{2}{3)}(x-(-6))

y+4=\frac{2}{3)}(x+6)

y+4=\frac{2}{3} x+4

y=\frac{2}{3} x+4-4

y=\frac{2}{3} x

Now, to check if our function is valid, we can either check if each point satisfies the rule y=\frac{2}{3} x, or we can graph it and check if each lies is in the graph.

Let's check both:

We already know that points (-6, -4) and (-3, -2) satisfy the rule (after all, those were the point we used to came out with the rule in the first place), so we just need to check the points (0, 0) and (3, 2)

- For (0, 0):

y=\frac{2}{3} x

0=\frac{2}{3}(0)

0=0

The point satisfies the rule.

- For (3, 2):

y=\frac{2}{3} x

2=\frac{2}{3} (3)

2=2

The point satisfies the rule.

Since all the points of our table satisfies the rule y=\frac{2}{3} x, we can conclude that the rule describing the function shown is y=\frac{2}{3} x.

4 0
3 years ago
Read 2 more answers
Which of these expressions is equivalent to (12/5) ?
Tom [10]

D is the answer for equivalent
5 0
3 years ago
Read 2 more answers
HELP PLEASE ASAP<br> I REALLY NEED HELP
Sergeu [11.5K]

The answer is 24. You subtract 40 - 16.

4 0
3 years ago
Other questions:
  • A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 12% vinegar. The chef wants to make 160 mi
    14·1 answer
  • Round the number 157 to the nearest tens plce
    9·1 answer
  • The product of two and the square of x*<br> Your<br> answer
    11·1 answer
  • D/4+7/8=6 what is d​
    8·2 answers
  • Solve for x: 2 over 3 (x − 4) = 2x
    9·1 answer
  • which graph represents a line with a slope of -2/3 and a yintercept equal to that of the line y=2/3x-2
    8·1 answer
  • What are the coordinates (x, y) at which the graphs of 2x + 3y = 12 and 2x - y = 4 intersect?
    11·2 answers
  • If csc θ = -5/4 on the interval (270°, 360°), find tan θ.
    13·1 answer
  • Find the value of x<br> PLEASE HELP MEE
    7·2 answers
  • A line intersects the points( 12,2) and (6, -8) what is the slope of the line in simplest form
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!