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2 years ago

Enter the number that belongs in the green box

Mathematics

1 answer:

Brilliant_brown [7]2 years ago

6 0

Answer:

Step-by-step explanation:

Hi!

First we need to translate 2 units down. That means we need to subtract 2 from the y value. So now we have (-1,1).

For a 270 degree counterclockwise rotation the rule is to go from (x,y) to (y,-x)

So now we have (1,1). Since they're only asking for the x value, the answer is 1.

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1.Arsenic-74 is used to locate brain tumors. It has a half-life of 17.5 days. 90 mg wereused in a procedure. Write an equation t

Sophie [7]

$1)\text{ }N_t\text{ = 90\lparen}\frac{1}{2})^{\frac{t}{17.5}}$

2) 5.625 mg will be left

Explanation:

1) Half-life = 17.5 days

initial amount of Arsenic-74 = 90 mg

To get the equation, we will use the equation of half-life:

$\begin{gathered} N_t\text{ = N}_0(\frac{1}{2})^{\frac{t}{t_{\frac{1}{2}}}} \\ where\text{ N}_t\text{ = amount remaining} \\ N_0\text{ = initial amount} \\ t_{\frac{1}{2}\text{ }}\text{ = half-life} \end{gathered}$ $N_t\text{ = 90\lparen}\frac{1}{2})^{\frac{t}{17.5}}$

2) we need to find the remaining amount of Arsenic-74 after 70 days

t = 70

$\begin{gathered} N_t=\text{ 90\lparen}\frac{1}{2})^{\frac{70}{17.5}} \\ N_t\text{ = 5.625 mg} \end{gathered}$

So after 70 days, 5.625 mg will be left

4 0

1 year ago

Find the perimeter of the larger polygon if the two polygons are similar.

Lilit [14]

Answer:

130.5

Step-by-step explanation:

similar shapes have proportional sides so divide 18/27 to get the proportion then multiply each side of the smaller polygon by the proportion to get the sides for the larger polygon and add the larger polygons sides together.

8 0

3 years ago

The following time series shows the sales of a clothing store over a 10-week period. Compute the mean square error (MSE) for a 4

Alenkasestr [34]

Answer:

7.67

Step-by-step explanation:

Given the data :

Week_sales_Forecast ___|error|_ |error|²

1 _____15

2 ____ 16

3 ____ 19

4 ____ 18

5 ____ 19 ____ 17 _______ 2____4

6 ____ 20 ___ 18 ________2____4

7 ____ 19 ____19 ________0____0

8 ___ 22 ____ 19 ________3____9

9 ___ 15 ____ 20 ________5___ 25

10 __ 21 _____19 ________ 2 ___ 4

Mean squared error :

(4 + 4 + 0 + 9 + 25 + 4) / 6

= 46 / 6

= 7.666

= 7.67

8 0

3 years ago

Read 2 more answers

Solve using the appropriate method a-3b=33 <br> b+6=2a

Varvara68 [4.7K]

Answer:

1= -6b=a

Step-by-step explanation:

a-3b=33b+6=2a

+3b +3b

a=36b+6=2a

-6 -6

a -6=36b=2a

---------------

-6 -6

a= -6b=2a

This is the work and the answer

6 0

3 years ago

What is the sum of the measures of the interior angles of this heptagon? A 7-sided figure. 720 degrees 900 degrees 1,080 degrees

NeTakaya

Answer:

900°

Step-by-step explanation:

interior angles of a polygon = (n−2)×180°, where n is number of sides

for heptagon it is: (7-2)×180°= 900°

8 0

2 years ago

Read 2 more answers