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2 years ago

Please help!!!!!!!!!

Mathematics

1 answer:

shepuryov [24]2 years ago

7 0

A, the first one only, this parabola only has a minimum and no maximum. the other statements are also just false

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Find 26th term in the arithmetic sequence: -15,-35,-55,-75,...

disa [49]

Answer:

-515

Step-by-step explanation:

In this example the first value is −15 and every value afterwards is 20 less.

After substituting these values to above formula, we obtain:

All we have to do is add 25 twenties or 25 x 20 = 500 and -15 - 500 = -515

5 0

2 years ago

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Allison plays basketball and last season she made a total of 87 shots (two- or three- point shots). Her points total was 191. Ho

yarga [219]

Answer:

Step-by-step explanation:

Let the number of 2 point shots be t.

Let the number of 3 point shots be h.

Allison made 87 shots and scored 191 total points. This implies two things:

t + h = 87 ________(1)

2t + 3h = 191 ______(2)

Let us eliminate t by multiplying (1) by 2 and subtracting from (2):

=> 2t + 3h = 191

- 2t + 2h = 174

h = 17

Therefore, she made 17 three point shots.

4 0

2 years ago

The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f(t), where t is in min

Deffense [45]

Answer:

f'(t) is negative

The unit is degC/min

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.

Step-by-step explanation:

From the question we are told we are told that

The equation for the temperature of a cup of coffee place on a counter is

$H= f(t)$

Here t is the time in minutes the coffee was put on the counter

Generally f(t)' is the derivative of f(t) at it represents the change of the temperature of the cup of coffee with respect to time

Generally for the coffee placed on the counter after a couple of minutes the temperature will decrease hence f(t)' is negative

Generally the unit of the temperature is in degrees Celsius while that of time is in minutes

So the change in temperature with time f(35)' will be in degrees Celsius/minutes (i.e degC/min)

From the question we are told that

$|f(35)'| = 1.5$

i.e the rate of change of temperature after 35 minutes is 1.5

and

$|f(35)| = 68$

i.e the temperature of the cup of coffee after 35 minutes is 67 degC

Now after another t= 30 seconds = $\frac{30}{60}= 0.5 \ minutes$ the rate of change of the temperature of the cup of coffee is

$R = |f(35)'| * t$

=> $R = 1.5 * 0.5$

=> $R = 0.75$

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.

5 0

2 years ago

The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level with an initial velocity of 22

NISA [10]

Answer:

a) $v(2\,s) = 2.9\,\frac{m}{s}$ , b) $v(4\,s) = -16.7\,\frac{m}{s}$ , c) $t = 2.296\,s$ , d) $h (2.296\,s) = 27.829\,m$ , e) $t \approx 4.679\,s$ , f) $v(4.679\,s) = -23.354\,\frac{m}{s}$

Step-by-step explanation:

The velocity function can be derived by the differentiating the height function:

$v = 22.5-9.8\cdot t$

Velocities after 2 and 4 seconds are, respectively:

a) $v(2\,s) = 2.9\,\frac{m}{s}$

b) $v(4\,s) = -16.7\,\frac{m}{s}$

The maximum height is reached when velocity is zero. Then:

$22.5-9.8\cdot t = 0$

c) $t = 2.296\,s$

The maximum height is:

d) $h (2.296\,s) = 27.829\,m$

The time required to hit the ground is:

$-4.9\cdot t^{2}+22.5\cdot t +2 = 0$

Roots of the second-order polynomial are:

$t_{1} \approx 4.679\,s$

$t_{2} \approx -0.087\,s$

Only the first root is physically reasonable.

e) $t \approx 4.679\,s$

The velocity when the projectile hits the ground is:

f) $v(4.679\,s) = -23.354\,\frac{m}{s}$

7 0

2 years ago

Dan is using tiles to add Negative 8 + 6. He begins with the tiles shown below. 8 negative tiles. What is the sum of Negative 8

navik [9.2K]

The answer is -2

-8+6=-2

4 0

2 years ago

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