I need help with this question. I cant find the surface area of this square pyramid. Please help me.

12. The function M(h) = 10e-0.173h can be used to find the number of milligrams M of morphine that is

vodomira [7]

Answer:

Part A; Initial dosage is 10 milligrams

Part B:

8.4113 milligrams after 1 hour

5.0057 milligrams after 4 hours.

Step-by-step explanation:

It is given M(h)= 10 $e^{-0.173h}$

Initial dosage is the 10 milligrams

After 1 hour, plug in h as 1

So, M(1)=10 $e^{-0.173*1}$

Simplify the right side

M(1)=10(0.84113)

M(1)= 8.4113 milligrams.

Now, after 4 hours

M(4)=10 $e^{-0.173*4}$

M(4)=10(0.50057)

M(4) =5.0057 milligrams

3 0

3 years ago

Abner wants to create a shopping budget where he spends less than $80 per month on clothes. He also wants to spend at least thre

strojnjashka [21]

Answer:

D) Abner can spend $60 per month on school clothes and $20 per month on gym clothes and stay within his budget.

Step-by-step explanation:

In the problem it states that Abner will spend 3 times more on (s)school clothes than (g) gym clothes.

So it would appear as s ≥ 3g.

If we plug in $60 as s (school clothes) and $20 as g (gym clothes), the statement is true.

60 ≥ 3(20)

60 ≥ 60. These numbers make the linear system true.

If you have trouble with this, an easy way to find this answer is simply creating the linear system that represents the problem, (he will buy 3 times more school clothes than gym clothes) s ≥ 3g and plug in each variable from the answer choices until you find the variables that make the linear system true.

6 0

3 years ago

Read 2 more answers

The larger of two numbers is 5 less than twice the smaller. Their sum is 43. Find the numbers.

tatyana61 [14]

Let's set up an equation.
smaller number = x
larger number = 2x - 5
Now set up the equation so that the larger number plus the smaller number adds up to 43.
x + 2x - 5 = 43
3x - 5 = 43 ( I added the x and 2x)
3x = 48 ( I added 5 to both sides)
x = 16 (I divided both sides by 3)

Now let's check it. Substitute 16 for every time there is an x.

16 + 2(16) - 5 = 43
16 + 32 - 5 = 43
48 - 5 = 43
43 = 43
It checks. x is equal to 16, so that means:
smaller number = 16
larger number = 27

Hope this helps =)

5 0

3 years ago

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-4,

Eduardwww [97]

The slope of the given line is
.. (1 -(-3))/(4 -(-4)) = 4/8 = 1/2
Then the perpendicular line will have slope
.. m = -1/(1/2) = -2

The point-slope form of your line is
.. y -3 = -2(x +4) . . . . . . . . . . if you prefer y -y0 = m(x -x0)
.. y = -2(x +4) +3 . . . . . . . . . . if you prefer y = m(x -x0) +y0 as I do.

9 0

3 years ago

Descubra os numeros que estão faltando a)[9] [15] [21] [ ] [33] [39] [ ] B)[69] [68] [66] [63] [59] [ ] [ ]

Natali5045456 [20]

Answer:

a) [9] [15] [21] [27] [33] [39] [45]

b) [69] [68] [66] [63] [59] [54] [48]

Step-by-step explanation:

A sequência de números fornecida é

a) [9] [15] [21] [27] [33] [39] [45]

Cada próximo número é igual ao número anterior + 6

Portanto, o número após 21 será 21 + 6 = 27

E o número após 39 será 39 + 6 = 45

b) [69] [68] [66] [63] [59] [54] [48]

Cada próximo número é igual ao anterior - a diferença aumenta em 1

Por exemplo

Diferença entre 69 e 68 - 1

Diferença entre 68 e 66 - 2

Diferença entre 66 e 63 - 3

Diferença entre 63 e 59 - 4

Portanto, o número após 59 será 59 -5 = 54

E o número depois de 54 será 54 - 6 = 48

7 0

3 years ago