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3 years ago

A car has a full tank of gas, holding

Mathematics

1 answer:

valina [46]3 years ago

4 0

Answer:

The mileage of the car is 30 miles per gallon

Step-by-step explanation:

Here, we are interested in calculating the gas mileage of the car.

The gas mileage refers to the number of kilometers the car can travel on a particular amount of fuel.

The full capacity of the car tank is 15 gallon

Now after traveling 300 miles, it stops for gas and 10 gallons of fuel are added to make the car full again.

What this means is that the car used up a total of 10 gallons of fuel for the 300 miles

Thus, the gas mileage of the car is that it used 10 gallons to travel a total of 300 miles

Expressing this as a ratio, we have 300 miles/10 gallons = 30 miles/ gallon

This means that on a gallon of fuel, the car can travel 30 miles

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Answer the question about the image.

Anton [14]

Answer:

Step-by-step explanation:

hope this helps and have a great day

3 0

2 years ago

Find the approximate area between the curve f(x) = -4x² + 32x and on the x-axis on the interval [0,8] using 4 rectangles. Use th

Doss [256]

Split up the interval [0, 8] into 4 equally spaced subintervals:

[0, 2], [2, 4], [4, 6], [6, 8]

Take the right endpoints, which form the arithmetic sequence

$r_i=2+\dfrac{8-0}4(i-1)=2i$

where 1 ≤ <em>i</em> ≤ 4.

Find the values of the function at these endpoints:

$f(r_i)=-4{r_i}^2+32r_i=-16i^2+64i$

The area is given approximately by the Riemann sum,

$\displaystyle\int_0^8f(x)\,\mathrm dx\approx\sum_{i=1}^4f(r_i)\Delta x_i$

where $\Delta x_i=\frac{8-0}4=2$ ; so the area is approximately

$\displaystyle2\sum_{i=1}^4(-16i^2+64i)=-32\sum_{i=1}^4i^2+128\sum_{i=1}^4i=-32\cdot\frac{4\cdot5\cdot9}6+128\cdot\frac{4\cdot5}2=\boxed{320}$

where we use the formulas,

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$

6 0

2 years ago

Solve using the quadratic formula 3x^2+11x+5=0

storchak [24]

Answer:

$3x^2 + 11x + 5 = 0 : x = \frac{-11 + \sqrt{61} }{6} , x = \frac{-11 - \sqrt{61} }{6}$

Decimal:

$(x = -0.53162..., x = -3.13504...)$

Step-by-step explanation:

$3x^2+11x+5=0$

Solve with the quadratic formula:

For a quadratic equation of the form $ax^2+bx+c=0$ the solutions are:

$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

For $a=3,\:b=11,\:c=5:\quad x_{1,\:2}=\frac{-11\pm \sqrt{11^2-4\cdot \:3\cdot \:5}}{2\cdot \:3}$

$x=\frac{-11 + \sqrt{11^2-4\cdot \:3\cdot \:5}}{2\cdot \:3} : \frac{-11 + \sqrt{61} }{6}$

$x=\frac{-11 - \sqrt{11^2-4\cdot \:3\cdot \:5}}{2\cdot \:3} : \frac{-11 - \sqrt{61} }{6}$

The solutions to the quadratic equation are:

$x=\frac{-11+\sqrt{61}}{6},\:x=\frac{-11-\sqrt{61}}{6}$

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, have a good day! =)

8 0

3 years ago

Oduvanchick [21]

Answer:

80x = y

Step-by-step explanation:

4 0

1 year ago

Point T is on line segment SU. Given ST=13 and TU=5, determine the length SU.

KonstantinChe [14]

Answer:

We are given the lengths of the two segments of the line. Using the addition postulate we can obtain the segment of the entire line.

Did you draw out the diagram. We know that the three points are collinear.

Hope this helps

Step-by-step explanation:

6 0

3 years ago

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