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iogann1982 [59]
2 years ago
10

Find four consecutive integers such that 5 times the fourth diminished by twice the second is 7

Mathematics
1 answer:
Lynna [10]2 years ago
7 0

Answer:

-2, -1, 0, 1

Step-by-step explanation:

Let the 4 numbers be x,x+1, x+2, x+3

Then we have the equation:-

5(x+3)-2(x+1) = 7

5x - 2x + 15 - 2 = 7

3x = - 6

x = -2


so the integers are  -2, -1, 0, 1

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Answer:

x= -5

Step-by-step explanation:

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84 is the median of the numbers



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The figure shows the layout of a symmetrical pool in a water park. What is the area of this pool rounded to the tens place? Use
k0ka [10]

Answer:

2489ft^{2}

Step-by-step explanation:

The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.

<h3>Area of each triangle:</h3>

From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:

A_{t}=\frac{b.h}{2}=\frac{(20ft)(25ft)}{2}=250ft^{2}

<h3>Area of each circular section:</h3>

From the figure, we know that \alpha =2.21 radians and the radius is R=30ft. So, the are would be calculated with this formula:

A_{cs}=\frac{\pi R^{2}\alpha}{360\°}

Replacing all values:

A_{cs}=\frac{(3.14)(30ft)^{2}(2.21radians)}{6.28radians}

Remember that 360\°=6.28radians

Therefore, A_{cs}=994.5ft^{2}

Now, the total are of the figure is:

A_{total}=2A_{t}+2A{cs}=2(250ft^{2} )+2(994.5ft^{2})\\A_{total}=500ft^{2} + 1989ft^{2}=2489ft^{2}

Therefore the area of the symmetrical pool is 2489ft^{2}

3 0
3 years ago
Pleeeeeese helppp!!!!!!!!!!!
Svetlanka [38]
I think 17.2 sorry if im wrong

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Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r
saw5 [17]

Using exponential function concepts, it is found that it represents a decay of 0.9%.

<h3>What is an exponential function?</h3>

A decaying exponential function is <em>modeled </em>by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

In this problem, the function is:

A(t) = 9300(0.991)^{6t}

Hence:

1 - r = 0.991

r = 0.009

Thus, it represents a decay of 0.9%.

You can learn more about exponential function concepts at brainly.com/question/25537936

5 0
2 years ago
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