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Sholpan [36]
3 years ago
8

For how many days is the total cost $300? ___days Initial Value 8 Rate of Change 15

Mathematics
2 answers:
Paladinen [302]3 years ago
8 0
  • b=initial value=8
  • m=rate if change(Slope)=15

Equate

\\ \sf\longmapsto y=mx+b

\\ \sf\longmapsto 300=15x+8

\\ \sf\longmapsto 300-8=15x

\\ \sf\longmapsto 292=15x

\\ \sf\longmapsto x=\dfrac{292}{15}

\\ \sf\longmapsto x=19.5

Alona [7]3 years ago
4 0

Answer:

  • ≈ 19.5 days

Step-by-step explanation:

  • Initial Value b = 8
  • Rate of Change  m = 15

<u>Equation of the line:</u>

  • y = 15x + 8

<u>Find x when y = 300:</u>

  • 15x + 8 = 300
  • 15x = 300 - 8
  • 15x = 292
  • x = 292/15
  • x ≈ 19.5 days
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Answer:

After solving the power:

\bold{2(cos60^\circ+isin60^\circ)}

Rectangular form:

\bold{1+i\sqrt3}

Step-by-step explanation:

Given the complex number:

2(cos20^\circ+isin20^\circ)^3

To find:

The indicated power by using De Moivre's theorem.

The complex number in rectangular form.

Rectangular form of a complex number is given as a+ib where a and b are real numbers.

Solution:

First of all, let us have a look at the De Moivre's theorem:

(cos\theta+isin\theta )^n=cos(n\theta)+isin(n\theta )

First of all, let us solve:

(cos20^\circ+isin20^\circ)^3

Let us apply the De Moivre's Theorem:

Here, n = 3

(cos20^\circ+isin20^\circ)^3 = cos(3 \times 20)^\circ+isin(3 \times 20)^\circ\\\Rightarrow cos60^\circ+isin60^\circ

Now, the given complex number becomes:

2(cos60^\circ+isin60^\circ)

Let us put the values of cos60^\circ = \frac{1}{2} and sin60^\circ = \frac{\sqrt3}{2}

2(\dfrac{1}{2}+i\dfrac{\sqrt3}2)\\\Rightarrow (2 \times \dfrac{1}{2}+i\dfrac{\sqrt3}2\times 2)\\\Rightarrow \bold{1 +i\sqrt3 }

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\bold{1+i\sqrt3}

3 0
3 years ago
What is the point called where the perpendicular bisectors of the sides of a triangle intersect
Vikki [24]
Answer: Circumcenter

This is the center of the circle that goes through the three vertices of the triangle. This circle is known as the circumcircle. It is the smallest circle possible in which the circle encompasses the triangle and none of the triangle spills outside the circle. 
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Mr. Walker gave his class the function f(x) = (x + 3)(x + 5). Four students made a claim about the function. Each student’s clai
stich3 [128]

Answer:

Stephen's claim is correct.

Step-by-step explanation:

The given function is

f(x)=(x+3)(x+5)

Put x=0 to find the y-intercepts.

f(0)=(0+3)(0+5)=3\times 5=15

The y-intercept of the function is at (0,15). It means jeremiah's statement is incorrect.

Put f(x)=0, to find the x-intercept.

0=(x+3)(x+5)

x+3=0\Rightarrow x=-3

x+5=0\Rightarrow x=-5

The x-intercepts are at (-3,0) and (-5,0). It means Lindsay's statement is incorrect.

f(x)=(x+3)(x+5)

f(x)=x^2+8x+15

f(x)=x^2+8x+15+16-16

f(x)=(x^2+8x+16)-1

f(x)=(x+4)^2-1                 .... (1)

The vertex form of a parabola is

f(x)=(x-h)^2+k                .... (2)

Where, (h,k) is vertex.

From (1) and (2) it is clear that the vertex of the parabola is (-4,-1), Stephen's claim is correct.

The midpoint between the x-intercepts is

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3 years ago
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oee [108]

Answer:

180.6 cubic inches. (Nearest tenth is the same as 1 decimal place)

Step-by-step explanation:

The volume of a cylinder formula is:

V

=

π

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10

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5

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5

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So we can now plug the numbers into the formula.

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lisov135 [29]
50 is the correct answer

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4 years ago
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