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oee [108]
2 years ago
8

A marathon race participant walks at a rate of 2.5 miles per hour and runs at a rate of 5 miles per hour. The combined distance

that the marathon race participant walks and runs is 12.5 miles. Write a linear equation in standard form that models this situation.
Mathematics
1 answer:
valentinak56 [21]2 years ago
3 0

Answer:

2.5x + 5y = 12.5

Step-by-step explanation:

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Mary is inscribing a square in the circle shown, but she is having difficulty remembering the process. Which summary describes t
Ivenika [448]

Answer:

C. Create the perpendicular bisector of FG. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.

Step-by-step explanation:

The steps are below:

1. A diameter of the circle is drawn.

2. A perpendicular bisector of the diameter is drawn using the method described in the perpendicular bisector of a segment. This is also a diameter of the circle.

3. The resulting four points on the circle are the vertices of the inscribed square.

4 0
3 years ago
Help !!!<br>See question in image.<br>Please show workings .<br>​
ivolga24 [154]

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) is

f'(x) = lim(h tends to 0 ) \frac{f(x+h)-f(x)}{h}

      = lim ( h to 0 ) \frac{4(x+h)^2-2-(4x^2-2)}{h}

      = lim ( h to 0 ) \frac{4(x+h)^2-2-4x^2+2}{h}

      = lim( h to 0 ) \frac{4x^2+8hx+4h^2-4x^2}{h}

      = lim( h to 0 ) \frac{8hx+4h^2}{h}

      = lim ( h to 0 ) \frac{4h(2x+h)}{h} ← cancel h on numerator/ denominator

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f'(x) = 8x

5 0
2 years ago
The first picture is the graph (already answered) and the second is the next
Nastasia [14]

Answer:

a) 100/15 = 6.6667 = 6  2/3

b) C = T( 6 2/3)

       = T (6 + 2/3)

     C  = 1T x 6  2/3

          = 6 2/3 T

We can show T as time at end of equation or start of brackets

8 0
2 years ago
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How much money should be deposited today in an account that earns 6% compounded monthly so that it will accumulate to $1000000 (
aleksandr82 [10.1K]

Answer:

The principal investment required to get  a total amount of $ 1,000,000.00  from compound interest at a rate of 6% per year  compounded 12 times per year  over 45 years  is $ 67,659.17.

Step-by-step explanation:

Given

  • Accrued Amount A = $1000000
  • Interest rate r = 6% = 0.06
  • Time period t = 45 years
  • Compounded monthly n = 12

To determine:

  • Principle amount P = ?

Using the formula

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

P\:=\frac{A}{\left(1\:+\:\frac{r}{n}\right)^{nt}}

substituting A = 1000000, r =  0.06, t = 45, and n = 12

P\:=\frac{1000000}{\left(1\:+\:\frac{0.06}{12}\right)^{12\cdot 45}}\:

    =\frac{1000000}{1.005^{540}}

P = 67659.17 $

Therefore, the principal investment required to get  a total amount of $ 1,000,000.00  from compound interest at a rate of 6% per year  compounded 12 times per year  over 45 years  is $ 67,659.17.

7 0
3 years ago
Difference between x and y?
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X is horizontal and it always goes first and y is vertical and it always goes
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3 years ago
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