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3 years ago

14

The second rate superhero and is Arch Enemy Melvin the minor menace started 700 miles apart and fleet street toward each other i

n their jet propulsion packs it took 5 hours for the two to meet if the superheroes speed was 10 mph slower than a minute what was the menaces speed

1 answer:

Papessa [141]3 years ago

8 0

Answer:75 mph

Step-by-step explanation:

You might be interested in

Which function is represented by the graph? f(x) = â’|x â’ 3| 4 f(x) = â’|x 3| 4 f(x) = â’|x â’ 4| 3 f(x) = â’|x 4| 3.

irinina [24]

Functions are used to represent graphs, and vice versa.

The function represented by the graph is $f(x) =- |x + 4| + 3$

The graph (see attachment) is an absolute value graph.

An absolute value graph is represented as:

$f(x) =a |x - h| + k$

Where

$Vertex = (h,k)$

The vertex is the minimum or the maximum point on the graph.

So, we have:

$Vertex = (-4,3)$

The function becomes

$f(x) =a |x + 4| + 3$

The function also passes through the point (-1,0).

So, we have:

$0 =a |-1 + 4| + 3$

$0 =a |3| + 3$

Remove the absolute bracket

$0 =3a + 3$

Subtract 3 from both sides

$3a =- 3$

Divide both sides by 3

$a =- 1$

Substitute -1 for (a) in $f(x) =a |x + 4| + 3$

$f(x) =- |x + 4| + 3$

Hence, the function represented by the graph is $f(x) =- |x + 4| + 3$

Read more about absolute value graphs at:

brainly.com/question/3381225

4 0

2 years ago

ruth had a ribbon that was 9 yards long. she cut the ribbon into pieces that were 1/6 yard long. how many pieces of ribbon does

Ainat [17]

Answer:

54

Step-by-step explanation:

6 x 9 = 54

she can there are

make 6 9 yards

ribbons

out of

a yard

4 0

4 years ago

for the polynomial P(x)=4x^2-5x+6 and c =1, find p(c) by (a. direct substitution and (b. the remainder theorem

nata0808 [166]

$p(x)=4x^2-5x+6$

$c=1\implies p(c)=4(1)^2-5(1)+6=5$

By the remainder theorem, the remainder upon dividing a polynomial $p(x)$ by a linear binomial $x-c$ is equal to $p(c)$ . Via synthetic division, we get

1   | 4   -5   6
.    |        4 -1
- - - - - - - - - - -
.    | 4   -1   5

which translates to

$\dfrac{4x^2-5x+6}{x-1}=4x-1+\dfrac5{x-1}$

or

$4x^2-5x+6=(4x-1)(x-1)+5$

Indeed, when $x=1$ , the first term on the right hand side vanished and we're left with 5.

8 0

3 years ago

A cylindrical can, open at the top, is to hold 840 cm3 of liquid. Find the height and radius that minimize the amount of materia

ycow [4]

Answer:

the radius of the base is equal to $x=2\sqrt[3]{\frac{105}{\pi } }$

And the height is equal to:

$y=\frac{840}{\pi(2\sqrt[3]{\frac{105}{\pi}})^{2} }$

Step-by-step explanation:

We write the volume function

$f(x,y)=840=\pi x^{2} y$ where x is the radius of the base and y is the height of the cylinder

$y=\frac{840}{\pi x^{2} }$

The surface of a cylinder is given by

$S(x)=\pi x^{2} +2\pi xy=\pi x^{2} +\frac{1680}{x}$ on the interval from 0 to infinity

We now determine the critical values by differentiating and making the equation equal to 0

$f'(x)=2\pi*x- \frac{1680}{x^{2}} =\frac{2\pi x^{3}-1680}{x^{2} } =0$

This equation have 2 complex solutions and one real solution

$x=2\sqrt[3]{\frac{105}{\pi } }$

For x=0 and infinity the equation goes to infinity also so the radius of the base is equal to $x=2\sqrt[3]{\frac{105}{\pi } }$

And the height is equal to:

$y=\frac{840}{\pi (2\sqrt[3]{\frac{105}{\pi } })^{2} }$

$y=\frac{840}{\pi(2\sqrt[3]{\frac{105}{\pi}})^{2} }$

7 0

3 years ago

A random sample of 10 chocolate energy bars of a certain brand has, on average, 230 calories per bar, with a standard deviation

Troyanec [42]

Answer:

The confidence interval for the true mean calorie content is

$215$

Step-by-step explanation:

In this problem we know the mean and standard deviation fo the sample, so we can compute the CI like this:

$\bar{x}-t*s/\sqrt{n}< \mu$

We need to determine t for 10-1=9 degrees of freedom and 99% confidence level. We look up in the t-table and the value for t is 3.2498.

Then we can calculate the limits of the CI:

$\bar{x}-t*s/\sqrt{n}< \mu$

5 0

4 years ago