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asambeis [7]
3 years ago
14

Carlos is shopping for school supplies. He bought a pencil box for $3, and he also needs to buy notebooks. Each notebook is $2.

Let represent the total cost of the supplies and be the number of notebooks Carlos buys.
1) Determine which variable is independent and which is dependent.

2) Write an equation that models the situation.
please help me this is due today
Mathematics
1 answer:
asambeis [7]3 years ago
7 0

Answer: y = 2x + 3, The notebooks are independent and the total price is dependent.

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Can someone help me I’m having trouble finding the area of the shaded region in each figure and round the answer to two decimal
stellarik [79]

Answer:

Step-by-step explanation:

Area of a Semi Circle

Area = 1/2 pi r^2

r = d/2

r = 3/2

r = 1.5

Area = 1/2 3.14 * 1.5^2

Area = 1/2 * 3.14 * 2.25

Area =                                                           3.5325

Area of Rectangle

L = 12 Yd

W = 4 Yd

Area = L * W

Area = 12 * 4<u>  =                                          48 </u>

Total Area =                                               51.5325

5 0
2 years ago
Can someone please explain this to me? Thanks!
Makovka662 [10]

Answer:  Choice D

\displaystyle F\ '(x) = 2x\sqrt{1+x^6}\\\\

==========================================================

Explanation:

Let g(t) be the antiderivative of g'(t) = \sqrt{1+t^3}. We don't need to find out what g(t) is exactly.

Recall by the fundamental theorem of calculus, we can say the following:

\displaystyle \int_{a}^{b} g'(t)dt = g(b)-g(a)

This theorem ties together the concepts of integrals and derivatives to show that they are basically inverse operations (more or less).

So,

\displaystyle F(x) = \int_{\pi}^{x^2}\sqrt{1+t^3}dt\\\\ \displaystyle F(x) = \int_{\pi}^{x^2}g'(t)dt\\\\ \displaystyle F(x) = g(x^2) - g(\pi)\\\\

From here, we apply the derivative with respect to x to both sides. Note that the g(\pi) portion is a constant, so g'(\pi) = 0

\displaystyle F(x) = g(x^2) - g(\pi)\\\\ \displaystyle F \ '(x) = \frac{d}{dx}[g(x^2)-g(\pi)]\\\\\displaystyle F\ '(x) = \frac{d}{dx}[g(x^2)] - \frac{d}{dx}[g(\pi)]\\\\ \displaystyle F\ '(x) = \frac{d}{dx}[x^2]*g'(x^2) - g'(\pi) \ \text{ .... chain rule}\\\\

\displaystyle F\ '(x) = 2x*g'(x^2) - 0\\\\ \displaystyle F\ '(x) = 2x*g'(x^2)\\\\ \displaystyle F\ '(x) = 2x\sqrt{1+(x^2)^3}\\\\ \displaystyle F\ '(x) = \boldsymbol{2x\sqrt{1+x^6}}\\\\

Answer is choice D

5 0
2 years ago
Read 2 more answers
To describe a specific arith-
Bezzdna [24]

Answer:

f(x) = 7x + 30

Step-by-step explanation:

We need at least two points to write the equation of a straight line.

The recursive formula that Elijah wrote is:

f(0) = 30

f(n + 1) = f(n) + 7

When we substitute n=0, we get:

f(0 + 1) = f(0) + 7

f(1) = 30 + 7

f(1) = 37

The points (0,30) and (1,37) lies on this line.

The equation of this line is of the form:

f(x) = mx + b

where b =30 is the y-intercept and m=7 is the slope.

We plug in these values to get:

f(x) = 7x + 30

Note that the slope of the line is equal to the common difference of the Arithmetic Sequence.

You could also use the two points to find the slope:

m =  \frac{37 - 30}{1 - 0}  = 7

4 0
3 years ago
Need answers ASAP<br> linear pair vertical adjacent none of these
andrey2020 [161]
For the parallel lines 1/2 the vertical line is 1 & the horizontal line is 2 so if you multiply both of them should equal 3. I don't acually know about the other one though
6 0
3 years ago
Callie has x yards of string. For an art project, she can cut an equal number of pieces of string in each piece is 11/12 foot lo
vagabundo [1.1K]

Answer:

C) x ÷ 11/12

Step-by-step explanation:

If you divide the total length of string by the length of each piece, you get the number of strings.

total length of string: x

length of each piece: 11/2

We need to divide x by 11/12

Answer: C) x ÷ 11/12

6 0
2 years ago
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