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
Evgesh-ka [11]
3 years ago
8

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 500 cm and width 300 cm. She decides

on a scale of 1 to 50. What is the length and width of the scale drawing of Elena’s bedroom, using the scale of 1 to 50?
Mathematics
1 answer:
nikdorinn [45]3 years ago
3 0

Answer:

Length~ 25,000 cm Width~ 15,000

You might be interested in
The Table represents a Linear Function.
ExtremeBDS [4]

Answer:

The answer is 3

Step-by-step explanation:

I used the equation y/x. (Use the differences between two rows.)

7 0
2 years ago
Which definite integral approximation formula is this: the integral from a to b of f(x)dx ≈ (b-a)/n * [<img src="https://tex.z-d
Stella [2.4K]

The answer is most likely A.

The integration interval [<em>a</em>, <em>b</em>] is split up into <em>n</em> subintervals of equal length (so each subinterval has width (<em>b</em> - <em>a</em>)/<em>n</em>, same as the coefficient of the sum of <em>y</em> terms) and approximated by the area of <em>n</em> rectangles with base (<em>b</em> - <em>a</em>)/<em>n</em> and height <em>y</em>.

<em>n</em> subintervals require <em>n</em> + 1 points, with

<em>x</em>₀ = <em>a</em>

<em>x</em>₁ = <em>a</em> + (<em>b</em> - <em>a</em>)/<em>n</em>

<em>x</em>₂ = <em>a</em> + 2(<em>b</em> - <em>a</em>)/<em>n</em>

and so on up to the last point <em>x</em> = <em>b</em>. The right endpoints are <em>x</em>₁, <em>x</em>₂, … etc. and the height of each rectangle are the corresponding <em>y </em>'s at these endpoints. Then you get the formula as given in the photo.

• "Average rate of change" isn't really relevant here. The AROC of a function <em>G(x)</em> continuous* over an interval [<em>a</em>, <em>b</em>] is equal to the slope of the secant line through <em>x</em> = <em>a</em> and <em>x</em> = <em>b</em>, i.e. the value of the difference quotient

(<em>G(b)</em> - <em>G(a)</em> ) / (<em>b</em> - <em>a</em>)

If <em>G(x)</em> happens to be the antiderivative of a function <em>g(x)</em>, then this is the same as the average value of <em>g(x)</em> on the same interval,

g_{\rm ave}=\dfrac{G(b)-G(a)}{b-a}=\dfrac1{b-a}\displaystyle\int_a^b g(x)\,\mathrm dx

(* I'm actually not totally sure that continuity is necessary for the AROC to exist; I've asked this question before without getting a particularly satisfying answer.)

• "Trapezoidal rule" doesn't apply here. Split up [<em>a</em>, <em>b</em>] into <em>n</em> subintervals of equal width (<em>b</em> - <em>a</em>)/<em>n</em>. Over the first subinterval, the area of a trapezoid with "bases" <em>y</em>₀ and <em>y</em>₁ and "height" (<em>b</em> - <em>a</em>)/<em>n</em> is

(<em>y</em>₀ + <em>y</em>₁) (<em>b</em> - <em>a</em>)/<em>n</em>

but <em>y</em>₀ is clearly missing in the sum, and also the next term in the sum would be

(<em>y</em>₁ + <em>y</em>₂) (<em>b</em> - <em>a</em>)/<em>n</em>

the sum of these two areas would reduce to

(<em>b</em> - <em>a</em>)/<em>n</em> = (<em>y</em>₀ + <u>2</u> <em>y</em>₁ + <em>y</em>₂)

which would mean all the terms in-between would need to be doubled as well to get

\displaystyle\int_a^b f(x)\,\mathrm dx\approx\frac{b-a}n\left(y_0+2y_1+2y_2+\cdots+2y_{n-1}+y_n\right)

7 0
3 years ago
The length of a rectangle is 12 in and the perimeter is 56 what us the width of the rectangle
Aleks [24]
Hi there!

We can find the perimeter of a rectangle by using the following formula:

perimeter = 2 × width + 2 × length

In the question, we are given the following data: the length of the rectangle is 12 in and the perimeter is 56. Let's substitute this into our formula!

56 = 2 × width + 2 × 12
Multiply first.

56 = 2 × width + 24
Now subtract 24 from both sides.

32 = 2 × width
And finally, to find the width of the rectangle, divide both sides of the equation by 2.

16 = width
(we can eventually switch sides in the equation).

width = 16
~ Hope this helps you!
3 0
2 years ago
Help urgent please.
zhuklara [117]

Answer:

The answer is D


Step-by-step explanation:

Plug any x value for the y values of f(x) and g(x)

Let's do 0 since it is easier.

f(x)=-2(0)-4=-4

g(x)=-2(0)+2=2

So, g(x) is 6 greater than f(x).

Thus, g is most likely moved 6 units up from f.

Graph the 2 functions on Desmos for a better picture.

7 0
2 years ago
Question
yuradex [85]

Answer:

(30, ∞)

Step-by-step explanation:

b – 27 > 3

Add 27 to both sides

b > 30

In interval notation

(30, ∞)

8 0
2 years ago
Read 2 more answers
Other questions:
  • In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of 67 inches and a s
    7·1 answer
  • Which description means the same as the limit expression? (Image attached)
    14·1 answer
  • 0.2(x + 1) + 0.5x = –0.3(x – 4)
    10·1 answer
  • What is the image of Q for a dilation with center (0,0) and a scale factor of 0.5?
    7·1 answer
  • prove that if the number of terms of an A.P is odd then the middle term is the A P between the first and last term???​
    11·1 answer
  • Suppose the hypotenuse of a right triangle is 24 cm and one of the legs is 11 cm. Use the Pythagorean Theorem to find the measur
    12·1 answer
  • What is the answer to:<br> -1/5 - (-2/9)= ?
    15·2 answers
  • Y=f(x) = 16^x. find f(x) when x = 1/4.
    6·1 answer
  • Is 2x+5y+7z a trinomial?
    14·1 answer
  • Identify the slope from the equation y = 3x + 6
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!