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3 years ago

Test: Chapter 1 Post-Test

Mathematics

1 answer:

Talja [164]3 years ago

8 0

Do you have a picture?

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*Quadratic equations* solve (i) (x+3)(x-4)=0 (ii) (2x-3)(x-1) =0

Ivanshal [37]

Answer:

(i) (x+3)(x-4)=0

x+3= 0 ⇒ x= -3
x-4= 0⇒ x= 4

(ii) (2x-3)(x-1) =0

2x-3= 0 ⇒ 2x=3 ⇒ x= 3/2
x- 1= 0 ⇒ x= 1

3 0

3 years ago

Pls help me, im adding integers 40 points!!!!!!!!!

egoroff_w [7]

Answer:

1. 6

2. -1

3. 0

4. -9

5. 0

6. -21

7. 119

8. -60

9. 64

10. 45 degrees

Step-by-step explanation:

3 0

3 years ago

PLS TRY TO ANSWER ASAP.

Harrizon [31]

Answer:

0.075 m/min

Explanation:

You need to use derivatives which is an advanced concept used in calculus.

1. Write the equation for the volume of the cone:

$V=\dfrac{1}{3}\pi r^2h$

2. Find the relation between the radius and the height:

r = diameter/2 = 5m/2 = 2.5m

h = 5.2m

h/r =5.2 / 2.5 = 2.08

3. Filling the tank:

Call y the height of water and x the horizontal distance from the axis of symmetry of the cone to the wall for the surface of water, when the cone is being filled.

The ratio x/y is the same r/h

x/y=r/h

y = x . h / r

The volume of water inside the cone is:

$V=\dfrac{1}{3}\pi x^2y$

$V=\dfrac{1}{3}\pi x^2(2.08)\cdot x\\\\\\V=\dfrac{2.08}{3}\pi x^3$

4. Find the derivative of the volume of water with respect to time:

$\dfrac{dV}{dt}=2.08\pi x^2\dfrac{dx}{dt}$

5. Find x² when the volume of water is 8π m³:

$V=\dfrac{2.08}{3}\pi x^3\\\\\\8\pi=\dfrac{2.08}{3}\pi x^3\\\\\\ 11.53846=x^3\\ \\ \\ x=2.25969\\ \\ \\ x^2=5.1062$ m²

6. Solve for dx/dt:

$1.2m^3/min=2.08\pi(5.1062m^2)\dfrac{dx}{dt}$

$\dfrac{dx}{dt}=0.03596m/min$

7. Find dh/dt:

From y/x = h/r = 2.08:

$y=2.08x\\\\\\\dfrac{dy}{dx}=2.08\dfrac{dx}{dt}\\\\\\\dfrac{dy}{dt}=2.08(0.035964m/min)=0.0748m/min\approx0.075m/min$

That is the rate at which the water level is rising when there is 8π m³ of water.

4 0

3 years ago

PLEASE HELP!!! WILL MARK BRAINLIEST FOR A REAL ANSWER!

Aloiza [94]

Answer:

hi sorry i need points im in the neggative somehow

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Is 17/10 a rational number ?

mel-nik [20]

Answer:

no it is not

Step-by-step explanation:

7 0

4 years ago