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Orlov [11]
3 years ago
15

(08.01)Which of the following statements shows a characteristic of a statistical question?

Mathematics
2 answers:
jonny [76]3 years ago
4 0

It is not A,B, or D.

so it has to be C. wish I knew this when taking test.

let me know if it was right. I hope this is somewhat helpful.

Nutka1998 [239]3 years ago
4 0

It is not A,B, or D.

so it has to be C. wish I knew this when taking test.

let me know if it was right. I hope this is somewhat helpful.

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The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm^2/
VARVARA [1.3K]

Answer:

The base is decreasing at 2 cm/min.

Step-by-step explanation:

The area (A) of a triangle is given by:

A = \frac{1}{2}bh   (1)

Where:

b: is the base

h: is the altitude = 10 cm

If we take the derivative of equation (1) as a function of time we have:

\frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b)

We can find the base by solving equation (1) for b:

b = \frac{2A}{h} = \frac{2*120 cm^{2}}{10 cm} = 24 cm

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

2 cm^{2}/min = \frac{1}{2}(\frac{db}{dt}*10 cm + 1 cm/min*24 cm)

\frac{db}{dt} = \frac{2*2 cm^{2}/min - 1 cm/min*24 cm}{10 cm} = -2 cm/min    

         

Therefore, the base is decreasing at 2 cm/min.

               

I hope it helps you!  

7 0
2 years ago
Anna wants to take fitness classes. She compares two gyms to determine which would be the best deal for her. Fit Fast charges a
mestny [16]
Fit Fast: a set feet per class => y = Ax

Stepping Up: a monthly fee plus an additioal fee per class => h = Bx + C

You can discard the second and the fourth systems because  they do not have the form established from the statement.

The first system produce an obvious result given that is represents an option that is always better than the other 5.5x will be lower than 7.5x + 10 for any positive value of x, and so there is no need to make any comparission.

The third system is

y = 7.5x and y = 5.5x + 10 which need to be solved to determine when one rate is more convenient than the other.

Answer: y = 7.5x and y = 5..5x + 10



4 0
3 years ago
Read 2 more answers
Find the product of 3 and the linear equation, and solve for both equations for y.
krok68 [10]

Answer:

Part 1) The product of 3 and 2y-4x=8 is 6y-12x=24

Part 2) The original equation in slope intercept form is y=2x+4

Part 3) The new equation in slope intercept form is y=2x+4

Step-by-step explanation:

we have

2y-4x=8

step 1

Find out the product of 3 and 2y-4x=8

Multiply both sides by 3

3(2y-4x)=3(8)

Apply distributive property both sides

6y-12x=24

step 2

Find out the original equation in slope intercept form

The equation of the line in slope intercept form is

y=mx+b

we have

2y-4x=8

Solve for y

That means ----> Isolate the variable y

Adds 4x both sides

2y=4x+8

Divide by 2 both sides

y=(4x+8)/2

Simplify

y=2x+4

step 3

Find out the new equation in slope intercept form

The equation of the line in slope intercept form is

y=mx+b

we have

6y-12x=24

Solve for y

That means ----> Isolate the variable y

Adds 12x both sides

6y=12x+24

Divide by 6 both sides

y=(12x+24)/6

Simplify

y=2x+4

8 0
3 years ago
Need answer fast with all the steps included please
wel

Answer:

6n²√3

Step-by-step explanation:

2√3n•√9n³

The above expression can be simplified as follow:

Recall

√9 = 3

2√3n•√9n³ = 2√3n × 3√n³

Recall

m√a × n√b = mn√(a × b)

Thus,

2√3n × 3√n³ = (2×3) √(3n × n³)

2√3n × 3√n³ = 6√3n⁴

Recall:

√aᵇ = (aᵇ)¹/² = aᵇ/²

√n⁴ = n⁴/²

√n⁴ = n²

Thus,

6√3n⁴ = 6n²√3

Therefore,

2√3n•√9n³ = 6n²√3

4 0
3 years ago
The equation of a circle whose center is at (1,2) and radius is 5 is (x + 1)² + (y + 2)² = 5 (x - 1)² + (y - 2)² = 25 (x - 1)² -
Oksana_A [137]
\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{1}{ h},\stackrel{2}{ k})\qquad \qquad 
radius=\stackrel{5}{ r}
\\\\\\\
(x-1)^2+(y-2)^2=5^2\implies (x-1)^2+(y-2)^2=25
7 0
3 years ago
Read 2 more answers
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