Sean's mother asked him to buy 5.5 cups of cream for a recipe. He found a 4-cu

Suppose that fanf g are continuous functions,

shtirl [24]

The required result based on given continuous functions is: 207. See the explanation for same below.

<h3>What are continuous functions?</h3>

A continuous function in mathematics is one in which a continuous variation (that is, a change without a jump) of the argument causes a continuous variation of the function's value.

<h3>What is the calculation for the above solution?</h3>

Since G and F are continuous functions,

$\int_{12}^{28}) \, f(x) dx$ = 19

$\int_{12}^{28}) \, f(x) dx$ = 35

Therefore,

$\int_{12}^{28}) \, [K g(x) - 2 f(x)] dx$

= K $\int_{12}^{28}) \, g(x) dx -2 \int_{12}^{28}) \, f(x) dx$

So, given that K = 7, we have

7 x 35 - 2 x 19
= 245 - 38
= 207

Learn more about continuous functions at;
brainly.com/question/18102431
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7 0

1 year ago

Can you help me plss!

Ksivusya [100]

(1/3) × the cone's volume = The cylinder's volume.

Step-by-step explanation:

Step 1:

The volume of any cone is obtained by multiplying $\frac{1}{3}$ with π, the square of the radius ( $r^{2}$ ) and the height ( $h$ ).

So the volume of the cone, $V=\pi r^{2} \frac{h}{3}$ .

Step 2:

The cylinder's volume is nearly the same as the cone but instead by multiplying $\frac{1}{3}$ we multiply with 1.

So the cylinder's volume is determined by multiplying π with the square of the radius of the cylinder ( $r^{2}$ ) and the height of the cylinder ( $h$ ).

So the the cone's volume, $V = \pi r^{2} h$ .

Step 3:

Now we equate both the volumes to each other.

The cone's volume : The cylinder's volume = $\pi r^{2} \frac{h}{3}: \pi r^{2} h$ = $\frac{1}{3} : 1$ .

So if we multiply the cone's volume with $\frac{1}{3}$ we will get the cylinder's volume with the same dimensions.

5 0

2 years ago

Asphere which has a diameter of 6 inches has a volume of:

earnstyle [38]

Answer:

9.42 cubic inches

Step-by-step explanation:

In order to find the volume for a sphere, we use the formula V = πr. For the sake of simplicity, we will be using 3.14 for π. Before we plug anything in, let's get our radius. Remember, the radius is half of the diameter.

Equation: d = 2r

Replace: 6 = 2r

Divide: 3 = r

Now that we have our radius, let's plug in what we have and solve.

Equation: V = 3.14r

Replace: V = 3.14(3)

Multiply: V = 9.42

Remember, volume is measured in cubic units, so use cubic inches for the unit here.

4 0

3 years ago

What is the greatest common factor for both terms: 24x + 8

Lyrx [107]

$24x=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot3\cdot x\\\\8=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\\\\GCF(24x,\ 8)=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}=8\\\\24x+8=8(3x+1)$

3 0

3 years ago

A line passes through the points (2,21) and (8,27). Write a linear function rule in terms of x and y for

tatiyna

We have two points so we can find the gradient using y1-y2/x1-x2
gradient = 21-27/2-8
= 1
we know the form for any linear equation is y = mx + c
we have m and a point so we can substitute in point (2,21) to find c
21 = 1 x 2 + c
c = 19
therefore, the equation is y = x + 19

6 0

2 years ago

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