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3 years ago

Mathematical

Mathematics

2 answers:

Sever21 [200]3 years ago

8 0

Answer: 1.5

Step-by-step explanation:

0.72 • 2 = 1.5

galben [10]3 years ago

7 0

Answer:1.50

Step-by-step explanation: 75•2 = 1.50

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A line has a slope of 10 and includes the points (3, n) and (4,0). What is the value of n?<br> n =

ExtremeBDS [4]

Answer:

The value of n = -10

Step-by-step explanation:

Given the points

(3, n)

(4,0)

Finding the slope between (3, n) and (4,0)

$\left(x_1,\:y_1\right)=\left(3,\:n\right),\:\left(x_2,\:y_2\right)=\left(4,\:0\right)$

As slope = 10

using the formula

Slope = [y₂ - y₁] / [x₂ - x₁]

so substituting the values

10 = [0 - n] / [4 - 3]

10 = -n / 1

10 = -n

n = -10

Therefore, the value of n = -10

8 0

2 years ago

A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma

Gnoma [55]

Answer:

The value is $C \approx \$76$

Step-by-step explanation:

From the question we are told that

The area of the rectangular pen is $A = 24 \ yard^2$

The cost of material used to make one side is $z = \$ 6$

The cost of material used to make the other sides is $r = \$ 3$

Now , the fence to be build around the rectangular pen has four sides, the first opposite sides are equal, let assume each of the to be x yard and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

$C = zx + r (x + 2y )$

=> $C = 6x + 3(x + 2y)$

=> $C = 9x + 6y$

Now the area of the fence is mathematically represented as

$A = x* y = 24$

=> $y = \frac{24}{x}$

=> $C = 9x + 6[\frac{24}{x} ]$

=> $C = 9x + [\frac{144}{x} ]$

Now differentiating

$C' = 9 + 144* (-2) x^{-2}$

$C' = 9 - 288x^{-2}$

At minimum $C' = 0$

$9 - 288x^{-2} = 0$

$x^{-2} = 0.03125$

$x = \sqrt{\frac{1}{0.03125} }$

$x = 5.66$

Now substituting for x in the equation above to obtain minimum cost

$C = 9(5.66) + [\frac{144}{5.66} ]$

$C \approx \$76$

8 0

3 years ago

What is the equation of the midline of the sinusoidal function?<br> [Enter the answer in the box]

Contact [7]

Answer:

$y=0$

Step-by-step explanation:

We are asked to find the equation of mid-line of the given sinusoidal function.

Since the mid-line of a sinusoidal function is the line that runs between the maximum and minimum y-values of the function. We can consider it the middle y-value.

$\text{Mid-line}=\frac{\text{Maximum value+Minimum value}}{2}$

We can see from our given graph that the maximum value of our function is 5 and minimum value of our function is -5.

Upon substituting these values in mid-line formula we will get,

$\text{Mid-line}=\frac{5+(-5)}{2}$

$\text{Mid-line}=\frac{5-5}{2}$

$\text{Mid-line}=\frac{0}{2}$

$\text{Mid-line}=0$

Therefore, the equation of the mid-line of the given sinusoidal function is $y=0$ .

3 0

3 years ago

Which polynomial is written in descending order?

Anarel [89]

The ascending or descending order of a polynomial is determined by the increasing or decreasing power of variable “x” respectively.

<span>The question is to find about the polynomial in descending order, so in this case, the 3rd option is correct, i.e. 4x^2 – 3x + 9 or 4x^2 – 3x^1 +9x^0. The power of “x” decreasing from 2 to 1 and then finally to 0.</span>

4 0

3 years ago

The line through (5, 7) and (1, - 5)

lbvjy [14]

Answer:

Hey there!

Slope of the line: $\frac{y2-y1}{x2-x1}$

Slope of the line: $\frac{12}{4}$ , which is equal to 3.

Point slope form: y2-y1=m(x2-x1)

Point slope form: y-7=3(x-5)

Y intercept form: y-7=3x-15

Y intercept form: y=3x-8

Let me know if this helps :)

3 0

3 years ago