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3 years ago

15

A certain map uses a scale of 1 inch equals 25 miles. How many miles are represented by 5 inches on this map? a 5 b 25 c 59 d 12

5
its for my brother he just texted me this so it would be a pleasure for my brother

1 answer:

bezimeni [28]3 years ago

4 0

Answer:

125

Step-by-step explanation:

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How many simple random samples of size 3 can be selected from a population of size 6?

ale4655 [162]

This would be 6C3

= 6*5*4
---------- = 20 answer
3*2*1

6 0

3 years ago

during a softball game kay hit a fly ball the function f(x) = -16t^2 + 64t + 4 describes the height of the softball in feet. mak

STatiana [176]

<h2>Hello!</h2>

The graph is attached.

To graph a parabola we need to know the following:

- If the parabola is open upwards or downwards

- They axis intercepts (if they exist)

- The vertex position (point)

We are given the function:

$f(t)=-16t^{2}+64t+4$

Where,

$a=-16\\b=64\\c=4$

For this case, the coefficient of the quadratic term (a) is negative, it means that the parabola opens downwards.

Finding the axis interception points:

Making the function equal to 0, we can find the x-axis (t) intercepts, but since the equation is a function of the time, we will only consider the positive values, so:

$f(t)=-16t^{2}+64t+4\\0=-16t^{2}+64t+4\\-16t^{2}+64t+4=0$

Using the quadratic equation:

$\frac{-b+-\sqrt{b^{2}-4ac } }{2a}=\frac{-64+-\sqrt{64^{2}-4*-16*4} }{2*-16}\\\\\frac{-64+-\sqrt{64^{2}-4*-16*4} }{2*-16}=\frac{-64+-\sqrt{4096+256} }{-32}\\\\\frac{-64+-\sqrt{4096+256} }{-32}=\frac{-64+-(65.96) }{-32}\\\\t1=\frac{-64+(65.96) }{-32}=-0.06\\\\t2=\frac{-64-(65.96) }{-32}=4.0615$

So, at t=4.0615 the height of the softball will be 0.

Since we will work only with positive values of "x", since we are working with a function of time:

Let's start from "t" equals to 0 to "t" equals to 4.0615.

So, evaluating we have:

$f(0)=-16(0)^{2}+64(0)+4=4\\\\f(1)=-16(1)^{2}+64(1)+4=52\\\\f(2)=-16(2)^{2}+64(2)+4=68\\\\f(3)=-16(3)^{2}+64(3)+4=52\\\\f(4.061)=-16(4.0615)^{2}+64(4.0615)+4=0.0034=0$

Finally, we can conclude that:

- The softball reach its maximum height at t equals to 2. (68 feet)

- The softball hits the ground at t equals to 4.0615 (0 feet)

- At t equals to 0, the height of the softball is equal to 4 feet.

See the attached image for the graphic.

Have a nice day!

3 0

4 years ago

Graph the following equation: <br>y= x-2<br><br>y= -1/5x - 8

never [62]

Answer:

Use the app desmos is really good

6 0

3 years ago

A candy store called "Sugar" built a giant sugar cube out of wood to hang above the entrance to their store. It took 545454 feet

DedPeter [7]

Answer:

<em>The volume inside the giant sugar cube is 27 cubic feet.</em>

Step-by-step explanation:

It took 54 feet² of material to build the giant sugar cube. That means, the total surface area of the cube is 54 feet²

<u>Formula for surface area of a cube</u> is: $S= 6a^2$ , where $a$ is the length of each edge of the cube.

So, we will get.........

$6a^2=54\\ \\ a^2= \frac{54}{6}=9 \\ \\a= \sqrt{9}= 3$

Now, <u>the volume of the cube will be</u>: $V= a^3= (3)^3 = 27$ feet³

Thus, the volume inside the giant sugar cube is 27 cubic feet.

3 0

3 years ago

Paul paid $ 25.50 for 3 cups of hot chocolate and cups of tea. The cost of each cup of tea was 2/3 the cost of each cup of hoy c

Allushta [10]

Let the cost of one cup of hot chocolate be = x

Let the cost of one cup of hot tea be = y

Paul paid $ 25.50 for 3 cups of hot chocolate and 4 cups of tea.

Equation becomes = $3x+4y=25.50$ ...(1)

As given, the cost of each cup of tea was 2/3 the cost of each cup of hot chocolate.

$y=\frac{2x}{3}$ .... (2)

Putting the value of y from (2) in (1)

$3x+4(\frac{2x}{3})=25.50$

= $3x+\frac{8x}{3}=25.50$

= $\frac{9x+8x}{3}=25.50$

= $17x=76.5$

x=4.5

$y=\frac{2x}{3}$

= $\frac{2*4.5}{3}$

y =3

Hence each cup of hot chocolate is $4.50

Each cup of tea is $3.

7 0

3 years ago