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m_a_m_a [10]
3 years ago
11

Write two problems involving how much more than and solve it

Mathematics
1 answer:
Vsevolod [243]3 years ago
3 0
Grace is holding a fundraiser for school. Anthony sold 45 cookies. Sara sold 26 cookies. How many more cookies did Anthony sell than Sara. 
 3
 415
  -
 26
 19

Anthony sold 19 more cookies than sara.

The animal shelter in San Fransico has 56 animals up for adoption.
The animal shelter in Los Angeles has 70 animals up for adoption.
How many more animals does Los Angeles have for adoption than San Fransico.
6
7
10
-
56
14

Los Angeles has 14 more animals than San Fransico.


You might be interested in
A sine function has the following key features: Period = 4 Amplitude = 3 Midline: y=−1 y-intercept: (0,-1) The function is not a
mezya [45]

Answer:

  • See the graphs attached and the explanation below

Explanation:

The most simple sine function, considered the parent function, is:

     y=sin(x)

That function has:

  • Midline, also known as rest or equilibrium position: y = 0
  • Minimum: - 1
  • Maximum: 1
  • Amplitude: the distance between a minimum or a maximum and the midline = 1
  • period: the interval of repetition of the function = 2π

The more general sine function is:

             y=Asin(Bx+C)+D

That function has:

  • Midline: y = D (it is a vertical shift from the parent function)
  • Minimum: - A + D
  • Maximum: A + D
  • Amplitude: A
  • period: 2π/B
  • phase shift: C (it is a horizontal shift of the from the parent function)

Now, you have to draw the sine function with the given key features:

  • Period = 4 ⇒ 2π/B = 4 ⇒ B = π/2
  • Amplitude, A = 3
  • midline y = - 1 ⇒ D = - 1
  • y-intercept = (0, -1)

Substitute the know values and use the y-intercept to find C:

       

            y=3sin(2x/\pi+C)-1

Substitute (0, -1)

             

              -1=3sin(0+C)-1\\ \\ 3sin(C)=0\\ \\ sin(C)=0\\ \\ C=0

Hence, the function to graph is:

              y=3sin(\pi x/2)-1

To draw that function use this:

  • Maxima: 3(1) - 1 = 3 - 1 = 2, at x = 1 ± 4n (n = 0, 1, 2, 3, ...)
  • Minima: 3(-1) - 1 = - 3 - 1 = -4
  • y-intercept: (0, - 1)
  • x-intercepts: the solutions to 0 = 3sin(πx/2) = - 1
  • first point of the midline: (0, -1) it is the same y-intercept

With that you can understand the graphs attached.

4 0
3 years ago
-10=-14v+14? Not sure
satela [25.4K]
-1.714 is your answer
7 0
3 years ago
Read 2 more answers
A square storage unit has a volume of 607.5 ft3. The height of the unit is 7.5 ft. What are the length and width of the storage
Eduardwww [97]

Answer:

9ft

Step-by-step explanation:

The base area of the storage is its volume divided by height

A = \frac{V}{h} = \frac{607.5}{7.5} = 81 ft^2

Since this base is a square, its length and width is of equal length, which is

\sqrt{A} = \sqrt{81} = 9ft

4 0
3 years ago
Read 2 more answers
PLEASE HELP
kolbaska11 [484]

Answer:

  • a) P(x) = 32000*1.04^x
  • b) $37435
  • c) During year 7

Step-by-step explanation:

<u>Given</u>

  • Initial pay = $32000
  • Increase rate = 4%

a. <u>Formula</u>

  • P(x) = 32000*1.04^x

b. Year 5 is after 4 years, so we are looking for the value of P(4)

  • P(4) = $32000*1.04^4 = $37435

c. <u>P(x) = 40000, x = ?</u>

  • 40000 = 32000*1.04^x
  • 1.04^x = 40000/32000
  • 1.04^x = 1.25
  • log 1.04^x = log 1.25
  • x = log 1.25 / log 1.04
  • x = 5.69, this is 6 years after

The required number of the years is 6 + 1 = 7

3 0
3 years ago
Sara rolls a fair dice 600 times.<br> How many times would Sara expect to roll a six?
masya89 [10]

Answer:

100

Step-by-step explanation:

possibility of getting 6 in one roll = 1/6

Possibility of getting 6 in 600 rolls = 1/ 6 x 600 = 100

I hope im right!!!

6 0
3 years ago
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