The amount of medication in a patient's bloodstream decreases exponentially from the time the medication is administered. A patient is administered a 300 mg dose of medication that decreases by 25% in the bloodstream each hour. Which function models this situation?

Answer:

249,951

Step-by-step explanation:

I used standard algorithm. I'm not sure how to explain this digitally to you.

I hope this helped.

Answer:-50

Step-by-step explanation:

-1.6x=50

for x

x=50/-1.6

x=-50

Answer:

h=5

Step-by-step explanation:

3*h=15 so h=5

Answer:

Area of sector = 144.4π cm²

Step-by-step explanation:

Given:

Perimeter of circle = 40π cm

Given angle = 130°

Find:

Area of sector

Computation:

Perimeter of circle = 2πr

⇒ 40π = 2πr

⇒ 40 = 2r

⇒ Radius r = 40 / 2

Radius r = 20 cm

Area of sector = [θ/360][π][r]²

⇒ Area of sector = [130/360][π][20]²

⇒ Area of sector = [0.361][π][400]

Area of sector = 144.4π cm²

Answer:

Step-by-step explanation:

Let shall be considering the Cosine rule in this situation.

a^2 = b^2+c^2- 2bc.cosA

Where a = ?

b = 21km

c 45km

A = 131

a^2 = 21^2+45^2-2(21*45).cos131

a^2 = 441+2025-1890(-0.6560)

a^2 = 2466+1239.951

a^2 = 3705.951

a= 60.876km

Finding the bearing of the port from the ship.

We shall be considering the Sine rule

Sin A/a = Sin B/b

Where A = ?

a = 45km

B = 131°

b = 60.876km

Sin A/45 = sin131/60.876

SinA×60.876 = 45×sin131

SinA×60.876= 45×0.7547

SinA×60.876 = 33.961

SinA= 33.961/60.876

SinA = 0.5578

A = sin^-1 0.5578

A = 33.9°

Answer:

(6,-4)

Step-by-step explanation:

when you have (x,y) and you want to rotate it 90 degrees, you would switch the x and the y and then make the x negative. So (4,6) would switch to (6,4) and then the 4 would become negative.

Answer:

(0, -5/2), (-2, 0)

Step-by-step explanation:

To find the y-intercept, set x = to 0 and find y:  -4y = 10.  Thus, y = -5/2.  The y-intercept is (0, -5/2).

To find the x-intercept, set y = to 0 and fid x:   -5x = 10.    Therefore the x-intercept is -2:  (-2, 0)

Since there are no green counters, the probability of selecting a green counter is always 0 in this context.

Given that the jar contains 8 red counters and 21 blue counters, we can determine the probabilities of selecting each color.

Total number of counters in the jar = 8 (red) + 21 (blue) = 29

(a) The probability of selecting a red counter:

Number of red counters / Total number of counters = 8 / 29

(b) The probability of selecting a blue counter:

Number of blue counters / Total number of counters = 21 / 29

(c) The probability of selecting a green counter:

There are no green counters in the jar, so the probability of selecting a green counter is 0.

Therefore, the probabilities are as follows:

A. The probability of selecting a red counter is 8/29.

B. The probability of selecting a blue counter is 21/29.

C. The probability of selecting a green counter is 0.

Please note that since there are no green counters, the probability of selecting a green counter is always 0 in this context.

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Answer:

(4, 3 ) and (1.5, 8 )

Step-by-step explanation:

Given the 2 equations

2x + y = 11 → (1)

xy = 12 → (2)

Rearrange (1) expressing y in terms of x by subtracting 2x from both sides.

y = 11 - 2x → (3)

Substitute y = 11 - 2x into (2

x(11 - 2x) = 12 , that is

11x - 2x² = 12 ( subtract 12 from both sides )

11x - 2x² - 12 = 0

2x² - 11x + 12 = 0 ← in standard form

(x - 4)(2x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = 1.5

Substitute these values into (3) for corresponding values of y

x = 4 : y = 11 - 2(4) = 11 - 8 = 3 ⇒ (4, 3 )

x = 1.5 : y = 11 - 2(1.5) = 11 - 3 = 8 ⇒ (1.5, 8 )

Answer:

[tex]-2(3x - 4) = -16[/tex] and [tex]20- 15x = 6 - 2(4x + 7)[/tex]

Step-by-step explanation:

Given

[tex]-2(3x - 4) = -16[/tex]

[tex]\frac{1}{2}(10x + 2) = 6[/tex]

[tex]20- 15x = 6 - 2(4x + 7)[/tex]

[tex]\frac{1}{3}(9x - 12) + 6=-10[/tex]

Required

Equations with [tex]x = 4[/tex] as a solution

[tex]-2(3x - 4) = -16[/tex]

Divide both sides by -2

[tex]3x - 4 = 8[/tex]

Add 4 to both sides

[tex]3x - 4 +4= 8+4[/tex]

[tex]3x =12[/tex]

Divide both sides by 3

[tex]x = 4[/tex]

[tex]\frac{1}{2}(10x + 2) = 6[/tex]

Multiply both sides by 2

[tex]10x + 2 = 12[/tex]

Subtract 2 from both sides

[tex]10x + 2 -2= 12-2[/tex]

[tex]10x = 10[/tex]

Divide both sides by 1

[tex]x = 1[/tex]

[tex]20- 15x = 6 - 2(4x + 7)[/tex]

Open bracket

[tex]20 - 15x = 6 - 8x - 14[/tex]

Collect like terms

[tex]8x - 15x = 6 - 14 - 20[/tex]

[tex]-7x = -28[/tex]

Divide both sides by -7

[tex]x = 4[/tex]

[tex]\frac{1}{3}(9x - 12) + 6=-10[/tex]

Subtract 6 from both sides

[tex]\frac{1}{3}(9x - 12) + 6-6=-10-6[/tex]

[tex]\frac{1}{3}(9x - 12) =-16[/tex]

Multiply both sides by 3

[tex]9x - 12 = -48[/tex]

Add 12 to both sides

[tex]9x - 12 +12= -48+12[/tex]

[tex]9x = -36[/tex]

Divide both sides by 4

[tex]x =-4[/tex]

[tex]-2(3x - 4) = -16[/tex] and [tex]20- 15x = 6 - 2(4x + 7)[/tex] have [tex]x = 4[/tex] has a solution

Answer: 1st and 3rd

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

47 + 109 + 23 = 179

But the angle sum of a triangle is 180.

Answer:

192 cm^2

Step-by-step explanation:

A = b*h

8(24) = 192

Answer:

-5 and -6

have a great day:)

Answer:

• Median for Amo

• Mean for Max

Step-by-step explanation:

Amo's mean score:

= (97 + 92 + 89 + 55 + 90)/ 5

= 84.60

= 85

Max's mean score:

= (68 + 97 + 65 + 92 + 65) / 5

= 77

Amo's median:

First arrange the numbers in ascending order:

55, 89, 90, 92, 97

Median is middle which is 90.

Max's median:

65, 65, 68, 92, 97

Median is 68

Mr Javier should use Median for Amo and Mean for Max.

Answer:

greater than $ 26

Step-by-step explanation:

Price at which the share was bought = $56

The selling price of stock is below $30.

Therefore, the loss of carl would be greater than $56- $ 30 = $26

So, the size of loss of Carl any amount greater than $ 26.

Answer:

The answer is Door you can choose C because is likely to be the answer

Answer:

A = 5,752.60

Step-by-step explanation:

P = $3,500

r= 5%

t = 10

k = 4

A = P(1 + r/k)^kt

= 3,500(1 + 0.05/4)^4*10

= 3,500(1 + 0.0125)^40

= 3,500(1.0125)^40

= 3,500(1.6436)

= 5,752.6

A = 5,752.60

Answer:

20/5 = 4

Step-by-step explanation:

since each person will get 1/5 of the original 20 ounces, you would divide the pretzels into 5 equal portions of 4.

Answer:

X=sigma xi/no of observation

5= (?) /4

5*4=sum of all numbers

20=sum of all the observation

If you are helped by this answer pls tag me brianliest I really want it

THANK YOU.......

Answer:

4m units squared

Step-by-step explanation:

Area = Length x Width

Area = m x 4

Area = 4m units squared

Answer:

Ava is incorrect

Step-by-step explanation:

Given

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2}[/tex]

[tex]Ava: \frac{(2x - 3y)^2}{(3y - 2x)^2} = -1[/tex]

Required

Determine if Ava is correct or not

Ava's solution is incorrect and the proof is as follows;

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2}[/tex]

Apply the following law of indices;

[tex]\frac{a^n}{b^n} = (\frac{a}{b})^n[/tex]

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [\frac{2x - 3y}{3y - 2x}]^2[/tex]

Rewrite the numerator

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [\frac{-(3y - 2x)}{3y - 2x}]^2[/tex]

Cross out the common factor of the numerator and denominator

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [\frac{-1}{1}]^2[/tex]

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [-1]^2[/tex]

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = 1[/tex]

Hence, the solution is 1; not -1

Her mistake is that, she did not apply the square on -1, after she factorize the denominator

Answer:

incorrect

Step-by-step explanation:

Answer:

EF² = FA²+ EA²

20² = 12² + FA²

400 -144 = FA²

256 =FA²

16cm = FA

Now in Δ DAG

DG² = AG² + DA²

13² = 12 ²+ DA²

169 -144 = DA²

25 = DA²

5cm = DA

Then that means diagonal DF = DA + FA

= 5 + 16

= 21cm

Step-by-step explanation:

The value of the other diagonal DF is 21.66 cm.

The square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle, according to the Pythagorean theorem.

Given:

The top two sides measure 20 cm each and the bottom two sides measure 13 cm each.

EG= 24 cm.

As, Diagonal ED divides the diagonal DF into two equal parts.

Now, Using  Pythagoras theorem in triangle DOG

x²/4 + y² = 13²= 169

and, Using  Pythagoras theorem in triangle EOD

x²/4 + (24 -y)² = 20²= 169

x²/4 + 576  -48y+ 169 - x²/4 = 400

-48y= -345

y= 7.1785

now, y²= 169 - x²/4

51. 6601 = 169 - x²/4

x/2 = 10.83

x = 21.66 cm

Thus, the other diagonal DF is 21.66 cm.

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Answer:

15

Step-by-step explanation:

When you multiply 3 to 5 you get 15 it is basic math. Or you can count out 5 plus 5 plus 5 if you need too.

Answer:

I only remember how to do part A, so sorry for using up an answer.

Step-by-step explanation:

Part A:

[tex](3x+5)(4x+7)\\ 12x^2+21x+20x+35\\ 12x^2+41x+35 ft^2[/tex]

(I also don't know if this is the form you need it in, but I hope I could help a little.)

The area of the memorial site is 12x² + 41x + 35 square units,  the lengths of the outside edges of the garden are 12x + 21 units and 9x + 15 units and 108x²+369x+315 is the area of the garden in terms of x.

The area of Rectangle is length times of width.

(a) The area of the memorial site is given by multiplying the length and width:

Area = (4x + 7)(3x + 5)

Expanding this expression using the distributive property, we get:

Area = 12x²+ 41x + 35

Therefore, the area of the memorial site is 12x² + 41x + 35 square units.

(b) The length and width of the garden are proportional to the length and width of the memorial site, increased by a scale factor of 3.

Length of garden = 3(4x + 7) = 12x + 21

Width of garden = 3(3x + 5) = 9x + 15

Therefore, the lengths of the outside edges of the garden are 12x + 21 units and 9x + 15 units.

(c)  The area of the garden is given by multiplying the length and width:

Area of garden = (12x + 21)(9x + 15)

=108x²+180x+189x+315

=108x²+369x+315

Hence,  the area of the memorial site is 12x² + 41x + 35 square units,  the lengths of the outside edges of the garden are 12x + 21 units and 9x + 15 units and 108x²+369x+315 is the area of the garden in terms of x.

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Answer: Well if you buy a pack of socks with 15 for $9 you are not getting the best deal over buying a pack of socks with 20 for $11. The reason behind this is because each sock is worth $0.6 meaning that you are only paying two extra dollars for five socks which would have normally cost $3. Shawn (with the 20 pack) is saving $1.