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3 years ago

find the distance between two cities on a map if the scale used is 1/2 =20 mi. and the cities are 55 miles apart

Mathematics

1 answer:

faust18 [17]3 years ago

8 0

Answer:

1.375 or 1 and 3/8

Step-by-step explanation:

55 divided by 20 is 2.75. Then multiply 2.75 by 1/2

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Factor completely. -3x^2 +17x -20

aliina [53]

Answer:

Consider the form

3x^2 +17x -20

. Find a pair of integers whose product is C

and whose sum is B

. In this case, whose product is

and whose sum is

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3 years ago

In , there were immigrants admitted to a country. In 1960, the number was . a. Assuming that the change in immigration is lin

Arisa [49]

Answer:

The answer is below

Step-by-step explanation:

The complete question is:

In 1960, there were 237,794 immigrants admitted to a country. In 2001, the number was 1,150,729.

a. Assuming that the change in immigration is linear, write an equation expressing the number of immigrants, y, in terms of t, the number of years after 1900.

b. Use your result in part a to predict the number of immigrants admitted to the country in 2013.

c. Considering the value of the y-intercept in your answer to part a, discuss the validity of using this equation to model the number of immigrants throughout the entire 20th century.

Answer:

a) From the question, we can get two ordered pairs which are $(t_1,y_1)=(60,237794)\ and\ (t_2,y_2)=(101,1150729)$

Using the equation of a line given two points:

$y-y_1=\frac{y_2-y_1}{t_2-t_1}(t-t_1)\\ \\y-237794=\frac{1150729-237794}{101-60}( t-60)\\\\y-237797=22266.71(t-60)\\\\y=22266.71t-1098205.44$

b) In 2013, t = 2013 - 1900 = 113.

Hence:

$y=22266.71t-1098205.44\\\\y=22266.71(113)-1098205.44\\\\y=1417932.488\\\\y=1417933$

$y=22266.71t-1098205.44\\\\the\ y\ intercept\ is\ at\ t=0,hence:\\\\y=22266.71(0)-1098205.44\\\\y=-1098205.44$

Since the y intercept is negative, that is in 1900 the number of immigrants was -1098206 which can not be possible. Hence this equation is not valid and the growth may or may not be linear.

7 0

3 years ago

Please help!!!!! I need answers

Elza [17]

Answer:

given below

Step-by-step explanation:

(a)

perfect positive correlation.

As x increases by 1, y increases by 1

y is 1 times x

equation: y = x

(b)

perfect negative correlation.

As x increases by 1, y decreases by -4

y is $-\frac{1}{4}$ times x

equation: y = -4x

4 0

3 years ago

Help pls im on a timed test * For people who search it up (3x)^3=3^1

wel

Answer:

Option D. x = -2

Step-by-step explanation:

Given equation:

$(3^x)^3 = 3^1$ .

$(3^3^+^(^-^2^)) = 3^1$

$= 3^1$ .

Your answer will be Option D.

6 0

2 years ago

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Alex73 [517]

Answer:

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3 years ago