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3 years ago

Marsha has a map of Texas. Texas measures 3,000 miles. The map is 30 inches long. What is the scale of her map? *

Mathematics

2 answers:

mrs_skeptik [129]3 years ago

5 0

Answer:

1 in = 100 miles

Step-by-step explanation:

im pretty sure

Arturiano [62]3 years ago

5 0

Answer:

1 in=100

Step-by-step explanation:

3000 divided by 30

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On the planet Jupiter, a ball this thrown upward at a velocity at 10m/s. It's height, h(t) meters after t seconds is given by th

Ilya [14]

Answer:

a) The maximum height that the ball reaches is 4 meters.

b) The height of the ball when it is released from thrower's hand is 2 meters.

c) The ball will take approximately 0.966 seconds to hit the surface of Jupiter.

Step-by-step explanation:

a) Let $h(t) = -12.5\cdot (t-0.4)^{2}+4$ , where $t$ and $h(t)$ are the time and height, measured in seconds and meters. Since this equation is in vertex form, the maximum height corresponds to the value associated with the dependent variable (height). That is:

$h(t) -4 = -12.5\cdot (t-0.4)^{2}$

Hence, the maximum height that the ball reaches is 4 meters.

b) The height of the ball when the ball is released from thrower's hand is the height of the ball at $t = 0\,s$ . Then, we evaluate the function:

$h(0) = -12.5\cdot (0-0.4)^{2}+4$

$h(0) = 2\,m$

The height of the ball when it is released from thrower's hand is 2 meters.

c) The instants when the ball hits the ground are those instants $t$ so that $h(t) = 0$ . Then:

$-12.5\cdot (t-0.4)^{2}+4 = 0$

$-12.5\cdot (t^{2}-0.8\cdot t +0.16)+4 = 0$

$-12.5\cdot t^{2}+10\cdot t +2 = 0$

By the Quadratic Formula we obtain the following roots:

$t_{1} \approx 0.966\,s$ , $t_{2}\approx -0.166\,s$

Only the first root is physically reasonable, since time is a positive real variable.

The ball will take approximately 0.966 seconds to hit the surface of Jupiter.

6 0

3 years ago

Read the problem. 10% of the students at Harris Middle School are on the yearbook committee. If 30 students are on the yearbook

enot [183]

Answer:

100%

300 students

Step-by-step explanation:

let b = number of students in the school

this equation can be derived = 10% x b = 30

to find b, divide both sides of the equation by 10%

b = 30/0.1 = 300

we want find the total number of students in the school, which is equal to 100%

3 0

3 years ago

How do I solve this ?

Alja [10]

Answer:

g(-9) = 1

Step-by-step explanation:

g(-9) is the value of the function at x = -9

Go over the x = -9 and go up until you hit the blue line

Read the value of y

g(-9) = 1

5 0

4 years ago

Read 2 more answers

The area of the pacific ocean is approximatley 6.4x10^7 square miles. The area of the gulf of mexico is approximately 10^5 squar

matrenka [14]

Answer:

640 times greater

Step-by-step explanation:

Given the following

area of the pacific ocean = 6.4x10^7 square miles

area of the gulf of mexico = 10^5 square miles

Taking the ratio of the distances

pacific ocean/gulf of mexico = 6.4x10^7/10^5

pacific ocean/gulf of mexico = 6.4 * 10^2

pacific ocean/gulf of mexico =640

pacific ocean = 640gulf of mexico

Hence the area of the pacific ocean us 640 times greater than the area of the gulf of mexico

8 0

3 years ago

I need someone to answer this immediately please. ... The area of a piece of land is 50cm square. Fi d the value of x, if the le

iren [92.7K]

Answer:

x=8

Step-by-step explanation:

Area is equal to

A = l * w

50 = ( x+2) ( x-3)

FOIL

50 = x^2 -3x+2x -6

Combine like terms

50 = x^2 -x -6

Subtract 50 from each side

0 = x^2 -x -56

Factor

What two numbers multiply to -56 and add to -1

-8*7 = -56

-8+7 = -1

0 = ( x-8) ( x+7)

Using the zero product property

x-8 =0 x+7 =0

x = 8 x=-7

Since the length cannot be negative x cannot be negative

x=8

8 0

4 years ago

Read 2 more answers