At the moment a certain medicine is injected, its concentration in the bloodstream is 120 milligrams per liter. From that moment forward, the medicine's concentration drops by 30% percent each hour. Write a function that gives the medicine's concentration in milligrams per liter, C(t), t hours after the medicine was injected. If anyone responds, thank you <3

Answer:

x = 2, y = -1.

Step-by-step explanation:

2x - 5y = 9

3x + 4y = 2

Multiply first equation by -3 and the second by 2:

-6x + 15y = -27

6x + 8y = 4            Adding the 2 equations:

23y = -23

y = -1.

Now substitute this value for y in the first equation:

2x - 5(-1) = 9

2x = 9 +5(-1)

2x = 9 - 5

2x = 4

x = 2.

Answer:

GA = Ray

Step-by-step explanation:

EB = Line

AB = Line Segment

Answer:

a)    x = 2

b)    x = 4

Step-by-step explanation:

a = (b₁ + b₂)/2 * h

----------------------------

a)

48 = (10 + x)/2 * 8

Divide both sides by 8

6 = (10 + x)/2

multiply both sides by 2

12 = 10 + x

Subtract 10 from both sides

2 = x

x = 2

---------------------------------

b)

18 = (7 + 2)/2 * x

18 = 4.5 * x

divide both sides by 4.5

4 = x

x = 4

Answer: She had worked 156 hours in all of the month of september.

Step-by-step explanation: ....

CCCCC!!!!!!!!

becuse it is C

Answer:

C

Step-by-step explanation:

It is just asking what the coordinates of each point are.

The first point is (-2,-1) because it goes two units left and one unit down.

The second point is (0,1) because it goes up 1 unit.

The third point is (2,3) because it goes up 2 units and right 3 units.

C is the only answer with all three of these points.

(-2,-1) (0,1) (2,3)

ur welcome :)

Answer:

200 actual miles

Step-by-step explanation:

Find the actual distance by multiplying 50 by 4, since there are 50 miles in 1 inch.

50(4)

= 200

So, there are 200 actual miles between the two cities.

Answer:

The answer is 57

Step-by-step explanation:

25 X 3 = 75

75 - 18 = 57

Good luck :)

Answer:

First multiply 25 by 3 which gives you 75.

You then take 75 minus the amount of pink lemonade she has already sold, which is 18.

Your answer should be 57.

So Sofie has 57 cups of pink lemonade left for sale.

Answer:

x²+4x+4x+16

x(X+4)+4(X+4)

(x+4)(X+4)=0

Answer:

x = - 4

Step-by-step explanation:

= − ± 2 − 4 / 2

Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.

x2+8x+16=0

= 1

= 8

= 1 6

x= − 8 ± 8 ^2 − 4× 1 × 1 6  /  2×   1

= − 8 ± 64 − 4×   1   ×1 6  / 2× 1

= − 8± 6 4 − 6 4 /   2×  1

x = -8 / 2× 1  

x = -8 / 2

x = -4

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

use mathaway, trust me it'll help

Answer:

transitive property of congruent angles

Step-by-step explanation:

if x=y and y=z, then x=z

Answer:

481

Step-by-step explanation:

Lets say width = x

Length = x+24

Perimeter is 100 so

100=x+24+x+24+x+x

100=4x+48

100-48=4x

52=4x

x=13

So width = 13

Length = 37

37x13=481

Answer:

k=1.1

Step-by-step explanation:

-1.1k=-1.21

divide by -1.1 on both sides to cancel out the -1.1 in front of k so you just have k

Answer:

k = 1.1

Step-by-step explanation:

-1.1k= -1.21

Divide each side by -1.1

-1.1k/-1.1 = -1.21/-1.1

k = 1.1

Answer:

[tex]\text{D. 36.64}[/tex]

Step-by-step explanation:

The Law of Sines is given by [tex]\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}[/tex] and works for any triangle.

Therefore, we have the proportion:

[tex]\frac{c}{\sin 41.5^{\circ}}=\frac{37}{\sin 42^{\circ}},\\\\c=\frac{37\sin 41.5^{\circ}}{\sin 42^{\circ}}=36.6399945706\approx \boxed{36.64}[/tex]

Answer:

30

Step-by-step explanation:

A squared + B squared = C squared

24*24= 576 18*18= 324   324+576= 900    square root of 900 is 30

Answer:

its -4, guy above me is right!

Step-by-step explanation:

Answer:

2261,9 cm³

Step-by-step explanation:

First, you need to find the area of the base:

[tex]A=\pi r^2[/tex]

A=36[tex]\pi[/tex] cm²

Now let's multiply it for the height:

36π cm² × 20 cm = 720π cm³

= 2261,9 cm³

Answer:

4 yards

Step-by-step explanation:

Given data

Area of square =16 square yards

We know that area of square is

Area =l²

16=l²

l= √16

l=4 yards

Hence the dimension of the sides is 4 yards each

Step-by-step explanation:

Solution = (-2,1)

Because, the point (-2,1) is tangent to 2 intersecting lines

Answer:

no I do not know how to do that

Answer:

0.28

Step-by-step explanation:

To know the probability we first need to know the total number of choices for each character in the license plate. Since there are a total of 10 possible numbers (0-9) and 26 letters in the English Alphabet. Then this means that each character has a total of 36 possible choices. Out of these 36 only 10 are numbers, therefore the probability of the first character being a number is

[tex]\frac{10}{36}[/tex] or 0.2777

If we rounded the decimal to the nearest hundredth it would be 0.28

Answer:

The correct answer is 0.28

Para la estudiantes de Español:

La respuesta correcta es 0.28

Step-by-step explanation:

Write 0.28 as the answer! It's correct.

Escribe 0.28 para la respuesta. Es correcto.

=========================================

Work Shown:

a = 300 = first term

r = 60/300 = 0.2 = common ratio

We multiply each term by 0.2, aka 1/5, to get the next term.

Since -1 < r < 1 is true, we can use the infinite geometric sum formula below

S = a/(1-r)

S = 300/(1-0.2)

S = 300/0.8

S = 375

----------

As a sort of "check", we can add up partial sums like so

and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.

----------

Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.

Answer:

q^12

Step-by-step explanation:

q^6^2

We know that a^b^c = a^(b*c)

q^6^2 = q^(6*2) = q^12

Step-by-step explanation:

everything can be found in the picture

Answer:

see below

Step-by-step explanation:

x^-2 = 1/x^2  Let x = -2      1/ (-2)^2 = 1/4

x^-1 = 1/x^1  Let x = -2      1/ (-2)^1 = 1/(-2) = -1/2

x^0 = 1  

x^1 = x  Let x = -2      (-2)

x^2 =   Let x = -2      (-2)^2 = 4

Answer:

1)¼

2)½

3)1

4)2

5)4

Step-by-step explanation:

recall that,

[tex] \displaystyle {x}^{ - n} = \frac{1}{ {x}^{n} } [/tex]

we want to evaluate [tex]x^{-2}[/tex] for x=-2

to do so substitute the given value of x

[tex] \displaystyle {2}^{ - 2} [/tex]

apply the formula:

[tex] \displaystyle {2}^{ - 2} = \frac{1}{ {2}^{2} } [/tex]

simplify square:

[tex] \displaystyle {2}^{ - 2} = \boxed{\frac{1}{ 4} }[/tex]

likewise substitute the given value of x to x^-1:

[tex] \displaystyle {2}^{ - 1} [/tex]

apply the formula:

[tex] \displaystyle {2}^{ 1} = \frac{1}{ {2}^{1} } [/tex]

[tex] \displaystyle {2}^{ 1} = \boxed{\frac{1}{ {2}^{} } }[/tex]

substitute the value of x

[tex] \displaystyle {2}^{ 0} [/tex]

it's a universal truth that x⁰=1 Thus

[tex] \displaystyle \boxed{1}[/tex]

Substitute the given value of x to x¹ and x² respectively

[tex] \displaystyle {2}^{ 1} \quad \bigg | \quad {2}^{2} [/tex]

simplify:

[tex] \displaystyle \boxed{2} \quad \bigg | \quad \boxed4[/tex]

and we're done!

Answer:

60 miles per hour

Step-by-step explanation:

since the car goes 240 miles in 4 hours, you would divide 240 by 4 to see how fast the car goes for 1 hour.

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}=a^{m+n}\\\\9^{10}*9^{x}=9^{10+x}[/tex]

In exponent multiplication, if the bases are same then add the exponents.

[tex] \small \sf \leadsto 9 {}^{10 +x} [/tex]

Step-by-step explanation:

Using exponent's product rule

[tex] \small \sf \: x {}^{n} \times x {}^{m} = x {}^{n + m} [/tex]

[tex] \small \sf \leadsto \: 9 {}^{10} \times 9 {}^{x} [/tex]

[tex] \small \sf \leadsto 9 {}^{10 + x} [/tex]

9514 1404 393

Answer:

  A-  Triangle 2: {8, 15, 17}

Step-by-step explanation:

You may recognize that the triple of choice A is a Pythagorean triple, so can be the side lengths of a right triangle.

Checking the numbers can be done nicely by a graphing calculator or spreadsheet to help avoid the tedium of doing it "by hand".

The basic idea is that the triangle will be a right triangle if the sum of the squares of the shorter sides is the square of the longer side.

9514 1404 393

Answer:

  a = 9 meters

Step-by-step explanation:

The perimeter is the sum of the side lengths:

  28 m = a + 2m + a + 8m

  18 m = 2a . . . . . . . . . . . . . . . . subtract 10m, collect terms

  9 m = a . . . . . . . . . . . . . . . divide by 2

The value of a is 9 meters.