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3 years ago

Enter your answers in the boxes to correctly complete this statement.

Mathematics

1 answer:

harina [27]3 years ago

3 0

Answer:

349800

Step-by-step explanation:

First Part:

The question tells you to multiply by 10 to the power of 4.

This implies that you can move the decimal point 4 numbers to the right

When you move the decimal two numbers to the right you get 3498

Then you got to move it two more numbers to the right

3498 can also be written as 3498.0000000000 (infinite amount of zeros)

So moving the decimal two more places you get 349800

Second Part:

10^4 = 10 * 10 * 10 * 10

= 10000

Count the zeros you get 4.

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Evaluate the expression (3-2i)(3-2i) and write the result in the form a+bi ,where a is the real part of your answer and bis the

Maslowich

Answer:

a = 5, b = -12

Step-by-step explanation:

By basic factoring, you get 9 - 12i + $4i^2$ . Since $i^2$ is simply -1, the expression evaluates to 9 - 12i - 4, which is 5 - 12i.

4 0

2 years ago

two cylinders are similar. the surface area of one is 64cm2 and the surface area of the other one is 81cm2. find the scale facto

Kitty [74]

Answer:

this should help I guess pls tell me if it was wrong

7 0

3 years ago

-1 3/7 x (-3 2/3)=?

xxTIMURxx [149]

I was not sure if the x in your equation was a multiplication sign or a variable
6/7x
-1 multiplied by 3/7x times -2
And when you multiply two negatives it equals a posible so the -2 and -1 turn into a positive

6 0

3 years ago

The population at Bishop High School is 2000 students in 2011. Every year the population decreases by 50 students

Artemon [7]

Answer:

Let p be the population at t be the number of years since 2011. Then, $p=2000-50t$

The projected population of the high school in 2015=1800
In <u>2019</u> the population be 1600 students

Step-by-step explanation:

Given: The population at Bishop High School students in 2011 =2000

Also, Every year the population decreases by 50 students which implies the rate of decrease in population is constant.

So, the function is a linear function.

Let p be the population at t be the number of years since 2011.

Then, $p=2000-50t$

So at t=0, p=2000

In year 2015, t=4, substitute t=4 in the above equation ,we get

$p=2000-50(4)\\\Rightarrow\ p=2000-200\\\Rightarrow\ p=1800$

Hence, the projected population of the high school in 2015=1800

Now, put p=1600 in the function , we get

$1600=2000-50t\\\Rightarrow50t=2000-1600\\\Rightarrow50t=400\\\Rightarrow\ t=\frac{400}{50}\\\Rightarrow\ t=8$

Now, 2011+8=2019

Hence, in <u>2019</u> the population be 1600 students

6 0

3 years ago

the length of a new rectangle playing field is 6 yards longer than quadruple the width. if the perimeter of the rectangle plaing

Vika [28.1K]

The length and width of a new rectangle playing field are 214 yards and 52 yards respectively.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

The length of a new rectangle playing field is 6 yards longer than quadruple the width.

Let's suppose the length is l and width is w of a rectangle:

From the problem:

l = 6 + 4w

Perimeter P = 2(l + w)

532 = 2(l + w)

Plug l = 6+4w in the above equation:

532 = 2(6 + 4w + w)

266 = 6 + 5w

260 = 5w

w = 52 yards

l = 6 +4(52) = 214 yards

Thus, the length and width of a new rectangle playing field are 214 yards and 52 yards respectively.

Learn more about the area of rectangle here:

brainly.com/question/15019502

#SPJ1

5 0

1 year ago