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Svet_ta [14]
1 year ago
10

100 POINTS

Mathematics
2 answers:
ddd [48]1 year ago
8 0

B: nine and one over two ft

Oksana_A [137]1 year ago
8 0

Answer:

The answer is B, 9 1/2

Step-by-step explanation:

You might be interested in
Let R be the triangular region in the first quadrant with vertices at points (0,0), (a,0), and (0,b), where a and b are positive
Salsk061 [2.6K]

Answer:

volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( \frac{-b}{a}x + b )² dx

Step-by-step explanation:

Given the data in the question and as illustrated in the image below;

R is in the region first quadrant with vertices; 0(0,0), A(a,0) and B(0,b)

from the image;

the equation of AB will be;

y-b / b-0 = x-0 / 0-a

(y-b)(0-a) = (b-0)(x-0)

0 - ay -0 + ba = bx - 0 - 0 + 0

-ay + ba = bx  

ay = -bx + ba

divide through by a

y = \frac{-b}{a}x + ba/a

y = \frac{-b}{a}x + b

so R is bounded by  y = \frac{-b}{a}x + b and y =0, 0 ≤ x ≤ a

The volume of the solid revolving R about x axis is;

dv = Area × thickness

= π( Radius)² dx

= π ( \frac{-b}{a}x + b )² dx

V = π ₀∫^a ( \frac{-b}{a}x + b )² dx

Therefore,  volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( \frac{-b}{a}x + b )² dx

6 0
2 years ago
Juanita usually spends $3 more than twice her transportation costs on groceries. if x is the amount she spends on transportation
ruslelena [56]
<h3>Answer: It's a linear equation.</h3><h3>It's not a proportional relationship.</h3><h3>Juanita spend $63 on groceries if she spent $30 on transportation.</h3>

Step-by-step explanation: Given equation y=2x+3.

Where x is the amount she spends on transportation, and y is the amount she spends on groceries.

<em>We can see that given equation is in slope-intercept form y=mx+b.</em>

So, it's a linear equation and y=2x+3 is the relationship between x and y linear.

<em>Also, a linear linear equation represents a proportion relationship if y-intercept is 0.</em>

But for the given equation y=2x+3, y-intercept is 3.

Therefore, it's not a proportional relationship.

Now, in order to find how much would Juanita spend on groceries if she spent $30 on transportation, we need to plug x= 30 in given equation.

Therefore,

y = 2(30) +3 = 60+3 = 63.

<h3>So, Juanita spend $63 on groceries if she spent $30 on transportation.</h3>
7 0
3 years ago
Which of the following statements is always true?
Bezzdna [24]

Answer:

B

Step-by-step explanation:

hope it helps <3333

You look beautiful

7 0
2 years ago
The math test scores of Mrs. Hunter's class are shown below:
pishuonlain [190]

Answer:

82

Step-by-step explanation:

Well since everything is already in order from least to greatest:

48, 56, 68, 72, 72, 78, 78, 80, 82, 84, 88, 88, 88, 90, 94, 98, 100

The median is the number in the middle

So 82 is the median

Hope this helps!

Feel free to comment any questions you have!

6 0
3 years ago
HELPPPPP
olchik [2.2K]

Answer:

1st multiply g and f then h

3 0
3 years ago
Read 2 more answers
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