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3 years ago

1. The radius equals units 2. The diameter equals units

Mathematics

1 answer:

Lelu [443]3 years ago

8 0

Answer:

radius = 4units

diameter = 8units

Step-by-step explanation:

The radius is the distance from the midpoint of a circle to any point on the side of the circle. In this case, the radius is, 4units. The diameter is twice the radius and is 8 units.

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Can someone help me with this plz??

mamaluj [8]

Answer:

f(x) = -4x-1

f(7) = -(4)(7)-1

f(7) = -29

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g(-4) = 4(16) + 4

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2 years ago

The quantity of 7 less than x, multiplied by 4

laila [671]

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2 years ago

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Your supervisor instructsyou to purchase 240 pensand 6 staplers for thenurse's station. Pens arepurchase in sets of 6 for$2.35 p

sveticcg [70]

Given:

Number of pen you are to purchase = 240 pens

Number of staplers you are to purchase = 6 staplers

Cost of pen in sets = 6 for $2.35

Cost of stapler in sets = 2 for $12.95

Let's find how much it will cost to purchase these products.

First find the average cost of each item:

$\begin{gathered} \text{Average cost of pen = }\frac{2.35}{6} \\ \\ \text{Average cost of stapler = }\frac{12.95}{2} \end{gathered}$

To find the total cost, we have the equation:

Total cost = (Average cost of pen x number of pens to be purchased) + (Avg cost of stapler x number of staplers to be purchased)

$\text{Total cost = (}\frac{2.35}{6}\times240)+(\frac{12.95}{2}\times6)$

Let's evaluate the equation:

$\begin{gathered} \text{Total cost = (}\frac{2.35\times240}{6})+(\frac{12.95\times6}{2}) \\ \\ \text{Total cost = (}\frac{564}{6})+(\frac{77.7}{2}) \\ \\ \end{gathered}$

Solving further:

$\begin{gathered} \text{Total cost = (}94)+(38.85) \\ \\ \text{Total cost = }132.85 \end{gathered}$

Therefore, the amount for purchasing these products will cost $132.85

ANSWER:

$132.85

4 0

11 months ago

Find the form of the general solution of y^(4)(x) - n^2y''(x)=g(x)

Dennis_Churaev [7]

The differential equation

$y^{(4)}-n^2y'' = g(x)$

has characteristic equation

r ⁴ - n ² r ² = r ² (r ² - n ²) = r ² (r - n) (r + n) = 0

with roots r = 0 (multiplicity 2), r = -1, and r = 1, so the characteristic solution is

$y_c=C_1+C_2x+C_3e^{-nx}+C_4e^{nx}$

For the non-homogeneous equation, reduce the order by substituting u(x) = y''(x), so that u''(x) is the 4th derivative of y, and

$u''-n^2u = g(x)$

Solve for u by using the method of variation of parameters. Note that the characteristic equation now only admits the two exponential solutions found earlier; I denote them by u₁ and u₂. Now we look for a particular solution of the form

$u_p = u_1z_1 + u_2z_2$