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marusya05 [52]
2 years ago
5

Can someone help me with these 3 questions of you can and show the work too

Mathematics
1 answer:
Vesnalui [34]2 years ago
5 0
Hi
1. Temp was 5 at noon and dropped 59 degrees at midnight. 5+(-59)= -54 (B)

2. The stock dropped by 5 points and opened at 93 points that day.
93+(-5)=88 points (B)

3. The temperature fell by 12° over 4 hours.
12÷4=3° decreased per hour (C)

Hope that clarifies these. Let me know if these aren't clear.
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Each angle of a regular pentagon has a measure of
Andrew [12]

Answer:

congruent

Step-by-step explanation:

All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles, we know that the sum of all the angles is 540 degrees (from above)... And there are five angles... So, the measure of the interior angle of a regular pentagon is 108 degrees.

6 0
3 years ago
Look at the pentagonal numbers. Use finite differences to determine which function represents the pattern.
Ahat [919]

Answer:

f(x) = 1.5x - 0.5x

Step-by-step explanation:

The function of the pattern represented by the pentagonal numbers is the sum of three triangular numbers.

The triangular number general formula

                      x (x + 1) / 2

For  example,

The sequence

1,     3,     6,      10

                                             *

                          *              *  *

         *           *   *          *   *  *

* ,    *  *,     *   *   *,     *   *   *  *

_____________________________

The pentagonal numbers

The sequence:

1, 5, 12, 22, 35

As shown in the picture can be divided into three triangles

Triangle 2

x (x + 1) / 2

Triangle 1 and 3  (they are triangles one unit smaller than 2)

n (n + 1) / 2

n= x-1

Replacing n

(x-1) ((x-1) + 1) / 2

(x-1) (x) / 2

(x-1) x / 2

______________

Function represents the pattern

Triangle 2  + (Triangle 1  +  Triangle 3)

Triangle 1  = Triangle 3

So then,

Triangle 2 + 2* Triangle 1

x (x +1) /2  + 2* (x -1) x/2

Rearranging

0.5 x (x +1) + x(x -1)

0.5x^2 + 0.5x + x^2 -x

(0.5 x^2 + x^2)  + (0.5x -x )

1.5 x^2 - 0.5 x  

______

3 0
2 years ago
Read 2 more answers
You open a bank account with $100 and deposit 15 every week. Create an equation to model the total amount of money,y, in dollars
Charra [1.4K]

Answer:

Y = 15x+ 100

x = 10 months

Step-by-step explanation:

Given:

Initial deposit = $100

Weakly deposit = $15

Solution:

We need to create an equation where total amount is y is equal to initial deposit plus multiplication of weakly deposit and month x, so the equation is written as.

Y = 15x+ 100 ---------(1)

Where:

Y = Total amount

x = Number of months.

Second thing we need to find the month for y = $250

Now, we substitute y = 250 in equation 1.

250 = 15x+ 100

15x=250-100

15x =150

x=\frac{150}{15}

x = 10 months

Therefore, we need to required 10 months for $250.

4 0
3 years ago
A prom dress is on sale for $350. If the original price of the dress was $500, what percent of discount was used during the sale
alexdok [17]
The percent of the discount would be 70%
3 0
2 years ago
Read 2 more answers
The ratio table below shows the relationship between the number of packages of gum and the total pieces of gum.
tangare [24]

The complete question is

"The ratio table below shows the relationship between the number of packages of gum and the total pieces of gum.

Gum Packages of gum Pieces of gum

1

15

2

30

3

45

4

?

How many pieces of gum are in 4 packages of gum?"

Using a proportional function, there are 60 pieces of gum in 4 packages.

<h3>What is a proportional relationship?</h3>

Two values x  and  y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.

The constant k is called constant of proportionality.

The constant is given by:

k = 15/1

k = 30/2

k  = 45/3

k  = 15.

Therefore, the number of pieces of gums in x packages is given by:

y = 15x.

In 4 packages:

y = 15 x 4

y = 60 pieces of gum.

Using a proportional function, there are 60 pieces of gum in 4 packages.

More can be learned about proportional functions at brainly.com/question/10424180

#SPJ1

4 0
2 years ago
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