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expeople1 [14]
4 years ago
5

Use rounding or compatible numbers to estimate the difference

Mathematics
1 answer:
Svet_ta [14]4 years ago
8 0
Rounding depending on what the problem is
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Please help me with some Algebra 2!
enot [183]

Answer:

12750

Step-by-step explanation:

The sequence of visitors is

50, 100, 200, 400, .....

This is a geometric sequence

with common ratio r = 2

The sum to n terms is found using

S_{n} = \frac{a(r^n-1)}{r-1} ( a is the first term )

S_{8} = \frac{50(2^8-1}{2-1} = 50 × 255 = 12750

6 0
4 years ago
Please someone help me with this ASAP especially with the workout!!
lara31 [8.8K]

Answer:

71 degrees

Step-by-step explanation:

please someone help me with this ASAP especially with the workout!!

From the triangle shown;

YX² = YZ² + XZ² - 2(YZ)(XZ) cos Z

28² = 25² + 23² - 2(25)(23) cos Z

784 = 625 + 529- 1150 cos Z

784 - 1154 = -1150cos Z

-370 = -1150cos Z

cos Z = 370/1150

cos Z = 37/115

cos Z = 0.3217

Z = arccos 0.3217

Z = 71.23

hence the measure of <Z is 71 degrees

3 0
3 years ago
A french fry stand at the fair serves their fries in paper cones. The cones have a radius of 222 inches and a height of 666 inch
rewona [7]

Based on the given parameters about old cone, the height of the new cone is 12 inches

<h3>Equivalent ratio</h3>

Old cone:

  • Radius, r = 2 inches
  • Height, h = 6 inches

New cone:

  • Radius, r = 4 inches
  • Height, h = h

equate ratio of radius to height in old and new cone

2 : 6 = 4 : h

2/6 = 4/h

cross product

2 × h = 6 × 4

2h = 24

h = 24/2

h = 12 inches

Learn more about ratio:

brainly.com/question/2328454

#SPJ1

4 0
2 years ago
Consider the following equations. f(x) = − 4/ x3, y = 0, x = −2, x = −1. Sketch the region bounded by the graphs of the equation
Sindrei [870]

Answer:

1.5 unit^2

Step-by-step explanation:

Solution:-

- A graphing utility was used to plot the following equations:

                         f ( x ) = - \frac{4}{x^3}\\\\y = 0 , x = -1 , x = -2

- The plot is given in the document attached.

- We are to determine the area bounded by the above function f ( x ) subjected boundary equations ( y = 0 , x = -1 , x = - 2 ).

- We will utilize the double integral formulations to determine the area bounded by f ( x ) and boundary equations.

We will first perform integration in the y-direction ( dy ) which has a lower bounded of ( a = y = 0 ) and an upper bound of the function ( b = f ( x ) ) itself. Next we will proceed by integrating with respect to ( dx ) with lower limit defined by the boundary equation ( c = x = -2 ) and upper bound ( d = x = - 1 ).

The double integration formulation can be written as:

                           A= \int\limits_c^d \int\limits_a^b {} \, dy.dx \\\\A = \int\limits_c^d { - \frac{4}{x^3} } . dx\\\\A = \frac{2}{x^2} |\limits_-_2^-^1\\\\A = \frac{2}{1} - \frac{2}{4} \\\\A = \frac{3}{2} unit^2

Answer: 1.5 unit^2 is the amount of area bounded by the given curve f ( x ) and the boundary equations.

Download docx
3 0
3 years ago
Write a function for the tranformations described below:
IrinaK [193]

The function after the transformation has an equation of y = ∛(x - 7) + 5

<h3>How to determine the equation of the transformation?</h3>

The transformation statement is given as

"The cubic function shifts 7 units right and 5 units up."

A cubic function is represented as

y = ∛x

So, the transformations are:

  • Shifts 7 units right
  • Shift 5 units up

Mathematically, this can be represented as

(x, y) = (x - 7, y + 5)

So, we have the following equation

y = ∛(x - 7) + 5

Hence, the equation of the transformation is y = ∛(x - 7) + 5

Read more about transformation at

brainly.com/question/4280198

#SPJ1

8 0
1 year ago
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