If f(x)=-3x+6, what is the value of f(-3)?

Which expression is equivalent to (7-8) (78)?

Gre4nikov [31]

-78

Step-by-step explanation:

(7-8)(78)

(-1)(78)=-78

8 0

2 years ago

Tesla Battery Recharge Time.The electric vehicle manufacturing company Tesla estimates that a driver who commutes 50 miles per

madam [21]

Answer:

a.) f(x) = $\frac{1}{30}$ where 90 < x < 120

b.) $\frac{2}{3}$

c.) $\frac{2}{3}$

d.) $\frac{1}{2}$

Step-by-step explanation:

Let

X be a uniform random variable that denotes the actual charging time of battery.

Given that, the actual recharging time required is uniformly distributed between 90 and 120 minutes.

⇒X ≈ ∪ ( 90, 120 )

a.)

Probability density function , f (x) = $\frac{1}{120 - 90} = \frac{1}{30}$ where 90 < x < 120

b.)

P(x < 110) = $\int\limits^{110}_{90} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{110}_{90} = \frac{1}{30} [ 110 - 90 ] = \frac{1}{30} [ 20] = \frac{2}{3}$

c.)

P(x > 100 ) = $\int\limits^{120}_{100} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{120}_{100} = \frac{1}{30} [ 120 - 100 ] = \frac{1}{30} [ 20] = \frac{2}{3}$

d.)

P(95 < x< 110) = $\int\limits^{110}_{95} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{110}_{95} = \frac{1}{30} [ 110 - 95 ] = \frac{1}{30} [ 15] = \frac{1}{2}$

7 0

3 years ago

Can someone please help me with this

lana [24]

Answer:

3x-10+70°=180°(Supplementary angles)

3x+60°=180°

3x=180°-60°

3x=120°

3x/3 =120°/3

x=40°

Step-by-step explanation:

Hope that this is helpful.

Have a wonderful day.

6 0

3 years ago

Each of the four sides of a swimming pool measures 12 m the pool is 6 m deep how much water will be needed to fill completely

Alex_Xolod [135]

The amount of water needed to fill the swimming pool completely is 864 cubic meters.

Given that each of the four sides of a swimming pool measures 12 m the pool is 6 m deep.

"Volume" is a mathematical quantity that indicates the amount of three-dimensional space occupied by an object or surrounding surface. Volume units are cubic units like m³, cm³, in³, etc.

As we know, the swimming pool is in cubic shape.

So, we will find the volume of cube using the formula V=l×b×h.

Here, l=12m, b=12m and h=m.

Now, we want to substitute the values in the formula, we get

V=12m×12m×6m

V=864m³

Hence, the amount of water needed to fill completely the swimming pool whose each of the four sides of a swimming pool measures 12 m the pool is 6 m deep is 864 cubic meters.

Learn more about the volume of cube from here brainly.com/question/1972490

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4 0

1 year ago

Which equation is the inverse of y = 9x2 – 4? mc008-1.jpg mc008-2.jpg mc008-3.jpg mc008-4.jpg

murzikaleks [220]

Answer: y = +/- [√x+4) ] / 3

Explanation:

1) To find the inverse of the function y = 9x^2 - 4, exhange the variables x and y, and then solve for the new y.

2) Exchange of the variables: y = 9x^2 - 4 → x = 9y^2 - 4

3) Solve for y:

9y^2 = x + 4

y^2 = [x + 4] / 9

y = +/- [ √ (x + 4) ] / 3

8 0

3 years ago

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