Please help with this

on her first day of work, mia sold one straw hat. on day two, she sold three straw hats. on day three, she sold five straw hats,

garri49 [273]

If Mia sold 2 more hats on each suceeding day, after working 40 days it is expected Mia had sold a total of 1523 hats.

<h3>How many hats will Mia sell everyday?</h3>

Day: Hats

1 = 1
2=3
3 = 5
4=7
5= 9
6=11
7= 13
8= 15
9=17
10=19
11= 21
12=23
13= 25
among others

You can notice the number of hats she will sell follow a pattern as there are only sequential odd numbers.

<h3>How many hats will Mia sell in total?</h3>

By following the sequence let's add the hats she will sell everyday:

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31 + 33 + 35 + 37 + 39 + 41 + 43 + 45 + 47 + 49 + 51 + 53 + 55 + 57 + 59 + 61 + 63 + 65 + 67 + 69 + 71 + 73 + 75 + 79 = 1523

Learn more about sums in: brainly.com/question/13013054

6 0

2 years ago

Please help! Its for my big test tomorrow!

Travka [436]

Answer:

# The solution x = -5

# The solution is x = 1

# The solution is x = 6.4

# The solution is x = 4

# The solution is 1.7427

# The solution is 0.190757

Step-by-step explanation:

* Lets revise some rules of the exponents and the logarithmic equation

# Exponent rules:

1- b^m × b^n = b^(m + n) ⇒ in multiplication if they have same base

we add the power

2- b^m ÷ b^n = b^(m – n) ⇒ in division if they have same base we

subtract the power

3- (b^m)^n = b^(mn) ⇒ if we have power over power we multiply

them

4- a^m × b^m = (ab)^m ⇒ if we multiply different bases with same

power then we multiply them ad put over the answer the power

5- b^(-m) = 1/(b^m) (for all nonzero real numbers b) ⇒ If we have

negative power we reciprocal the base to get positive power

6- If a^m = a^n , then m = n ⇒ equal bases get equal powers

7- If a^m = b^m , then a = b or m = 0

# Logarithmic rules:

1- $log_{a}b=n-----a^{n}=b$

2- $loga_{1}=0---log_{a}a=1---ln(e)=1$

3- $log_{a}q+log_{a}p=log_{a}qp$

4- $log_{a}q-log_{a}p=log_{a}\frac{q}{p}$

5- $log_{a}q^{n}=nlog_{a}q$

* Now lets solve the problems

# $3^{x+1}=9^{x+3}$

- Change the base 9 to 3²

∴ $9^{x+3}=3^{2(x+3)}=3^{2x+6}$

∴ $3^{x+1}=3^{2x+6}$

- Same bases have equal powers

∴ x + 1 = 2x + 6 ⇒ subtract x and 6 from both sides

∴ 1 - 6 = 2x - x

∴ -5 = x

* The solution x = -5

# ㏒(9x - 2) = ㏒(4x + 3)

- If ㏒(a) = ㏒(b), then a = b

∴ 9x - 2 = 4x + 3 ⇒ subtract 4x from both sides and add 2 to both sides

∴ 5x = 5 ⇒ divide both sides by 5

∴ x = 1

* The solution is x = 1

# $log_{6}(5x+4)=2$

- Use the 1st rule in the logarithmic equation

∴ 6² = 5x + 4

∴ 36 = 5x + 4 ⇒ subtract 4 from both sides

∴ 32 = 5x ⇒ divide both sides by 5

∴ 6.4 = x

* The solution is x = 6.4

# $log_{2}x+log_{2}(x-3)=2$

- Use the rule 3 in the logarithmic equation

∴ $log_{2}x(x-3)=2$

- Use the 1st rule in the logarithmic equation

∴ 2² = x(x - 3) ⇒ simplify

∴ 4 = x² - 3x ⇒ subtract 4 from both sides

∴ x² - 3x - 4 = 0 ⇒ factorize it into two brackets

∴ (x - 4)(x + 1) = 0 ⇒ equate each bract by 0

∴ x - 4 = 0 ⇒ add 4 to both sides

∴ x = 4

OR

∵ x + 1 = 0 ⇒ subtract 1 from both sides

∴ x = -1

- We will reject this answer because when we substitute the value

of x in the given equation we will find $log_{2}(-1)$ and this

value is undefined, there is no logarithm for negative number

* The solution is x = 4

# $log_{4}11.2=x$

- You can use the calculator directly to find x

∴ x = 1.7427

* The solution is 1.7427

# $2e^{8x}=9.2$ ⇒ divide the both sides by 2

∴ $e^{8x}=4.6$

- Insert ln for both sides

∴ $lne^{8x}=ln(4.6)$

- Use the rule $ln(e^{n})=nln(e)$ ⇒ ln(e) = 1

∴ 8x = ln(4.6) ⇒ divide both sides by 8

∴ x = ln(4.6)/8 = 0.190757

* The solution is 0.190757

7 0

3 years ago

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Halp halp halp meee <br> I give brain list to best answer pwease halp

Daniel [21]

Answer:

D 17 1/4

Step-by-step explanation:

3 0

3 years ago

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Find the area plzzzzzzxxxzzxxxzzzzzzz

nikitadnepr [17]

Step-by-step explanation:

step 1. break up the shape into 2 triangles and one rectangle

step 2. A = area of triangle 1 (t1) + area of triangle 2 (t2) + area of the rectangle (r)

step 3. t1 = (1/2)bh where b is the base and h is the height. definition of the area of a triangle.

step 4. t1 = (1/2)(3)(2) = 3ft^2.

step 5. t2 = (1/2)(3)(3) = 4.5ft^2.

step 6. r = bh where b is the base and h is the height. definition of the area of a rectangle.

step 7. r = bh = (8)(4) = 32ft^2.

step 8. A = t1 + t2 + r = 3 + 4.5 + 32 = 39.5ft^2.

5 0

3 years ago

Using the figure below, select the pair(s) of supplementary angles. (HINT** they may be more than 1 correct answer)

kondor19780726 [428]

Answer:

B, D

Step-by-step explanation:

Supplementary Angles: Add up to 180 degrees

Angle abe and Angle Ebc add up to 180 degrees

Angle ABD and Angle DBC add up to 180 degrees

3 0

3 years ago

Read 2 more answers