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3 years ago

Determine the x-intercepts of the quadratic function g(x)=x²-9x+20

Mathematics

1 answer:

lina2011 [118]3 years ago

4 0

Squid game amogus

So first your gonna want to watch squid game, then play amogus, and there's your answer.

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A cylinder has radius r and height h. A. How many times greater is the surface area of a cylinder when both dimensions are multi

Ierofanga [76]

Answer: A. Factor 2 => 4x greater

Factor 3 => 9x greater

Factor 5 => 25x greater

Step-by-step explanation: A. A cylinder is formed by 2 circles and a rectangle in the middle. That's why surface area is given by circumference of a circle, which is the length of the rectangle times height of the rectangle, i.e.:

A = 2.π.r.h

A cylinder of radius r and height h has area:

$A_{1}$ = 2πrh

If multiply both dimensions by a factor of 2:

$A_{2}$ = 2.π.2r.2h

$A_{2}$ = 8πrh

Comparing $A_{1}$ to $A_{2}$ :

$\frac{A_{2}}{A_{1}}$ = $\frac{8.\pi.rh}{2.\pi.rh}$ = 4

Doubling radius and height creates a surface area of a cylinder 4 times greater.

By factor 3:

$A_{3} = 2.\pi.3r.3h$

$A_{3} = 18.\pi.r.h$

Comparing areas:

$\frac{A_{3}}{A_{1}}$ = $\frac{18.\pi.r.h}{2.\pi.r.h}$ = 9

Multiplying by 3, gives an area 9 times bigger.

By factor 5:

$A_{5} = 2.\pi.5r.5h$

$A_{5} = 50.\pi.r.h$

Comparing:

$\frac{A_{5}}{A_{1}}$ = $\frac{50.\pi.r.h}{2.\pi.r.h}$ = 25

The new area is 25 times greater.

B. By analysing how many times greater and the factor that the dimensions are multiplied, you can notice the increase in area is factor². For example, when multiplied by a factor of 2, the new area is 4 times greater.

3 0

3 years ago

A sample of n = 4 scores has SS = 48. What is the estimated standard error for this sample? Group of answer choices

mylen [45]

Answer:

Step-by-step explanation:

We have

n = 4 scores

SS = 48

For this question, we are required to find the estimated standard error

To get this, we first solve for the variance

S² = SS/n-1

= 48/4-1

= 48/3

= 16

Then S² = 16

S = √16

S = 4

Then the estimated standard error is given by:

S/√n

= 4/√4

= 4/2

= 2.

The estimated standard error is 2.

4 0

3 years ago

3 1/4 + (3 1/4 + 5 1/5)

Blababa [14]

3.25 + (3.25 + 5.20)
3.25 + 8.45
11.70

5 0

3 years ago

Find the radius of a circle with an area of 100π inches.

Vesna [10]

Answer:

Step-by-step explanation:

If 100 is the area find the number that you can multiply by itself to get 100.

10*10=100

A=r∧2 π or Area= radius to the power of 2 times pi

5 0

3 years ago

The equation d=0.05v2+1.1v models the distance, d, that it takes are car traveling v miles per hour to come to a complete stop.

liq [111]

Answer:

Hannah was not speeding because her speed was about 61 mph, which is below the speed limit.

Explanation:

Just to correct some typos, this is the complete question:

The equation d=0.05v² + 1.1v models the distance, d, that it takes a car traveling at a speed of v miles per hour to come to a complete stop. If Hannah’s car stopped after travelling 250 feet on a highway with a speed limit of 65 mph, was Hannah speeding? Explain using math whether she was speeding and how you know.

<h2>Solution</h2>

To find whether Hannah was speeding, you must find the velocity that is solution for the equation:

250=0.05v² + 1.1v

Write it in standard form:

0.05v² + 1.1v - 250 = 0

Use the quadratic formula:

$v=\dfrac{-1.1\pm\sqrt{(1.1)^2-4(0.05)(-250)}}{2(0.05)}$

$v=\dfrac{-1.1\pm 7.1561}{0.1}$

$v=60.6\text{ or }v=-82.6$

The speed can only be positive; thus, it is about 61 miles per hour, which is below the speed limit of 65mph.

In conclusion, she was not speeding.

5 0

3 years ago