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shutvik [7]
3 years ago
13

The large rectangle shown represents one whole . Which division expression does the purple shaded area in the model represent

Mathematics
2 answers:
Hatshy [7]3 years ago
7 0

Answer: The answer is (d)~\dfrac{1}{3}\div 4.


Step-by-step explanation:  Given in the question and the figure a large rectangle consisting of 12 squares of equal areas. We need to choose the right expression for the purple shaded area.

Considering the rectangle in the figure horizontally, there are 4 rows of 3 squares. So, in the last row, the fraction of  purple shaded square is

r_p=\dfrac{1}{3}.

And if consider the figure vertically, then there are 3 columns of 4 squares.

Therefore, the final fraction represented by the purple shaded area is

f_p=\dfrac{1}{3}\div4.

Thus, the correct option is  (d)~\dfrac{1}{3}\div 4.


Scilla [17]3 years ago
7 0

Answer:1/3÷4

Step-by-step explanation:

Given in the question and the figure a large rectangle consisting of 12 squares of equal areas. We need to choose the right expression for the purple shaded area.

Considering the rectangle in the figure horizontally, there are 4 rows of 3 squares.

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The histogram shows the number of miles driven by a sample of automobiles in New York City. What is the maximum possible number
hjlf

Answer:

The maximum possible number of miles traveled by an automobile included in the histogram is 40,000 miles.

Step-by-step explanation:

A histogram is a bar graph reprinting the frequency of various categories.

In a histogram the <em>y</em>-axis represents the frequency and the <em>x</em>-axis represents the categories.

Consider the histogram provided for the number of miles driven by a sample of automobiles in New York City.

The <em>y</em>-axis represents the frequency and the <em>x</em>-axis represents the number of miles driven.

The category 10,000 miles has the highest frequency at 30.

And the maximum possible number of miles traveled by an automobile is 40,000 miles.

Thus, the maximum possible number of miles traveled by an automobile included in the histogram is 40,000 miles.

6 0
3 years ago
Read 2 more answers
Please help!!!! Use the graph to complete the statement. O is the origin. Ry−axis ο Ry=x: (-1,2)
Fiesta28 [93]

Answer:  D. (-2, -1)

Step-by-step explanation:

Here we do two reflections to the point (-1, 2).

First, we do a reflection over the line x = y.  Remember that a reflection over a line keeps constant the distance between our point and the given line, so we have that for a pint (x, y), the reflection over the line y = x is:

Ry=x (x, y) = (y, x)

so for our point, we have:

Ry=x (-1, 2) = (2, -1)

Now we do a reflection over the y-axis, again, a reflection over a line keeps constant the distance between our point and the given line, so if we have a point (x,y) and we do a reflection over the y-axis, our new point will be:

Ry-axis (x,y) = (-x, y)

Then in our case:

Ry-axis (2, -1) = (-2, -1)

The correct option is D.

5 0
3 years ago
Mr. Seidel filled up his 14-gallon gas tank for $44.26. What was the price per gallon of gas - to the nearest hundredth?
Nataly_w [17]

Answer:

$3.616

Step-by-step explanation:

4 0
3 years ago
The angle of elevation from the top of a building to the top of another is 45°.
MrRa [10]

Answer:

402m

Step-by-step explanation:

Set this up as a triangle and use trig to solve it:

tan(45) = y/402

y = 402*tan(45)

substitute: tan(45) = 1

y = 402 * 1

y = 402m

4 0
3 years ago
How would you solve this problem?
klio [65]

Answer:

a) 6x²/2x³-4

b)  2ln (2x^3-4)+ C

Step-by-step explanation:

a) Given the ln(2x³-4). We will use the chain rule in differentiating the function

If y = ln(2x³-4);

u = 2x³-4; du/dx = 3(2)x³⁻¹

du/dx = 6x²

y = ln u; dy/du = 1/u

According to chain rule, dy/dx = dy/dy*du/dx

dy/dx = 1/u * 6x²

dy/dx = 1/2x³-4 * 6x²

dy/dx = 6x²/2x³-4

Hence, the derivative of the given function is 6x²/2x³-4

b) Given an integral function \int\limits {\frac{12x^2}{2x^3-4} } \, dx, the integral problem can be solved using integration by substitution method as shown below;

From the question, let y = 2x³-4... 1, dy/dx = 6x²

dx = dy/6x² ... 2

Substituting equation 1 and 2 into the question given;

\int\limits {\frac{12x^2}{y} } \,\frac{dy}{6x^2} \\\\= \int\limits {\frac{2dy}{y} } \\\\= 2 \int\limits {\frac{dy}{y} }\\\\= 2lny + C\\substituting\ y = 2x^3-4\ into\ the \ resulting\ function\\\\= 2ln (2x^3-4)+ C

3 0
3 years ago
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