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3 years ago

8

Marisa is measuring the distance d(t) that an ant marches in t minutes. Which of the following is the most appropriate domain fo

r d(t)?
A. All real numbers
B. Positive integers only
C. All positive numbers
D. All integers

2 answers:

Phoenix [80]3 years ago

7 0

Answer:

c is the answer

Step-by-step explanation:

C is the answer

Tom [10]3 years ago

5 0

C. All positive numbers. (Apex.)

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A point P is moving along the curve whose equation is y = \sqrt x . Suppose that x is increasing at the rate of 4 units/s when x

Mice21 [21]

Answer:3 units/s

Step-by-step explanation:

Given

$y=\sqrt{x}$

Point P lie on this curve so any general point on curve can be written as $(x,\sqrt{x})$

and $\frac{\mathrm{d} x}{\mathrm{d} t}=4 units/s$

Distance between Point P and (2,0)

$P=\sqrt{(x-2)^2+(\sqrt{x}-0)^2}$

P at x=3 P=2

rate at which distance is changing is

$\frac{\mathrm{d} P}{\mathrm{d} t}=\frac{\mathrm{d} \sqrt{(x-2)^2+(\sqrt{x}-0)^2}}{\mathrm{d} t}$

$\frac{\mathrm{d} P}{\mathrm{d} t}=\frac{2x-3}{\sqrt{(x-2)^2+(\sqrt{x}-0)^2}}\times \frac{\mathrm{d} x}{\mathrm{d} t}$

$\frac{\mathrm{d} P}{\mathrm{d} t}=\frac{2\times 3-3}{2\times 2}\times 4=3 units/s$

8 0

3 years ago

In the expression 2x-15, what is the variable being used ?

erma4kov [3.2K]

Isn't x the variable?

6 0

3 years ago

Find the volume of the triangular prism in the picture shown. Round your answer to the

Olenka [21]

Given:

A figure of a triangular prism.

Height of triangular base = $9\dfrac{2}{3}$ yd

Base of triangular base = 4 yd

Height of prism = 4 yd.

To find:

The volume of the triangular prism.

Solution:

Volume of a triangular prism is:

$V=Bh$ ...(i)

Where, B is the area of triangular base and h is the height of the prism.

Area of triangular base is:

$B=\dfrac{1}{2}\times base\times height$

$B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}$

$B=2\times \dfrac{29}{3}$

$B=\dfrac{58}{3}$

Putting $B=\dfrac{58}{3}$ and h=4 in (i), we get

$V=\dfrac{58}{3}\times 4$

$V=\dfrac{232}{3}$

$V=77.33...$

$V\approx 77.3$

The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.

4 0

2 years ago

I need help bad! I need help with the last question!

MAVERICK [17]

Use the fact that 1 axe head = 3.20 trade value.
Let N denote number of axe heads needed to trade for a trade gun.
3.20×N=120.00
》 N=120/3.2 which will give number of axe heads needed. Round to the nearest ones place if you must.

5 0

3 years ago

Read 2 more answers

ALGEBRA 1, SEMESTER 2

SIZIF [17.4K]

So firstly, we have to find f(x) when x = 8 and x = 0. Plug the two numbers into the x variable of the function to solve for their f(x):

$f(0)=\frac{2*0+3}{3*0-3}\\ f(0)=\frac{0+3}{0-3}\\ f(0)=\frac{3}{-3}\\ f(0)=-1\\ \\ f(8)=\frac{2*8+3}{3*8-3}\\ f(8)=\frac{16+3}{24-3}\\ f(8)=\frac{19}{21}$

Now that we have their y's, we can use the slope, aka average rate of change, formula, which is $\frac{y_2-y_1}{x_2-x_1}$ . Using what we have, we can solve it as such:

$\frac{\frac{19}{21}-(-1)}{8-0}=\frac{\frac{40}{21}}{8}=\frac{40}{21*8}=\frac{40}{168}=\frac{5}{21}$

In short, the average rate of change from x = 0 to x = 8 is 5/21.

8 0

3 years ago