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4 years ago

Er uvay, vvildt is your average velocity!

Mathematics

1 answer:

timurjin [86]4 years ago

5 0

The acceleration of the fire truck is 1.666 m/s².

Step-by-step explanation:

Acceleration is the measure of change in velocity with respect to time. So as the initial velocity of the fire truck is given as 0 km/hr and the final velocity is given as 66 km/hr. So at first the truck is at rest and on switching on the engine, the truck gets to the velocity of 66 km/hr in 11 seconds.

$\text { Acceleration }=\frac{\text {Change in velocity}}{\text {time}}$

But first the units of velocity should be changed from km/hr to m/s

1 hour = 3600 seconds

1 km = 1000 m

So, $66\ {k m}{h r}=\frac{66 \times 1000}{3600} m / s$

Converted Velocity = 18.33 m/s

Then, the acceleration will be

$\text { Acceleration }=\frac{18.33-0}{11}$

Acceleration = 1.666 m/s²

So, the acceleration of the fire truck is 1.666 m/s².

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The sum of the roots of 3x 2 + 11x - 4 = 0 is -11/3 -4/3 11/3 4/3

givi [52]

Answer:

The correct option is 1.

Step-by-step explanation:

If a quadratic equation is defined as

$ax^2+bx+c=0$ .... (1)

Then the sum of the roots is -b/a and the product of roots is c/a.

The given equation is

$3x^2+11x-4=0$ ... (2)

From (1) and (2) we get a=3, b=11 and c=-4.

The sum of roots is

$\frac{-b}{a}=-\frac{11}{3}$

The sum of roots is $-\frac{11}{3}$ .

Therefore the correct option is 1.

5 0

4 years ago

Please answerrrr Graph g(x), where f(x) = 4x − 2 and g(x) = f(x + 1). a line labeled g of x that passes through points 0, negati

Mrrafil [7]

Answer:

a line labeled g of x that passes through points negative 1, negative 2 and 0, 2

Step-by-step explanation:

we have

$f(x)=4x-2$

$g(x)=f(x+1)$

To determine g(x), substitute the variable x by (x+1) in the function f(x)

$f(x+1)=4(x+1)-2$

$f(x+1)=4x+4-2$

$f(x+1)=4x+2$

$g(x)=f(x+1)$

$g(x)=4x+2$

therefore

a line labeled g of x that passes through points negative 1, negative 2 and 0, 2

4 0

3 years ago

Read 2 more answers

The volume of a packaging box is 5 - x cubic feet.The width of the box is x feet and the length is x - 2 feet. The height is giv

netineya [11]

A rational expression is undefined when the denominator is zero.
$V=\dfrac{5-x}{x(x-2)}$
is undefined when x=0 or x=2.

4 0

4 years ago

Read 2 more answers

Parabolas y=−2x^2 and y=2x^2 +k intersect at points A and B that are in the third and the fourth quadrants respectively. Find k

OverLord2011 [107]

Answer:

-25

Step-by-step explanation:

(1) y = -2x²

(2) y = 2x² + k Subtract (1) from (2)

0 = 4x² + k Subtract 4x² from each side

k = -4x²

The parabolas are symmetrical about the y-axis.

Segment AB = 5, so x = +2.5 and x = +2.5.

k = -4(±2.5)² = -4 × 6.25 = -25

8 0

3 years ago

A jet ski costs $925 and depreciates by 15% each year. How much will

ivann1987 [24]

Initial cost of the jet ski = $925
Percentage of depreciation per year = 15%
Number of years after which the cost of the jetski has to be determined = 7
Then
Depreciated Value = Initial cost( 1 - percentage of depreciation) ^number of years
      = 925( 1 - 15%)^7
      = 925( 1 - 15/100)^7
      = 925(1 - 0.15)^7
      = 925(0.85)^7
      = 925 *(0.85)^7
      = 925 * 0.3206
      = 296.53 dollars
So the depreciated cost of the jet ski after 7 years will be $296.53

6 0

3 years ago