10)
4x-9
X + 18
Solve for x

Answer: Exponential decay model:

y

=

x

(

1

−

r

)

t

, half life of tablet is about

2

hours and after

t

=

3

hours , remaining drug on patient's system is

42.875

mg.

Step-by-step explanation: Initial drug

x

=

125

mg ; rate of decay

r

=

30

100

=

0.3

gm/hour

Exponential model:

y

=

x

(

1

−

r

)

t

=

125

(

1

−

0.3

)

t

=

125

⋅

0.7

t

Half life:

y

=

125

2

=

62.5

mg

∴

62.5

=

125

⋅

0.7

t

or

0.7

t

=

1

2

. Taking logarithm on both sides we get ,

t

log

(

0.7

)

=

log

(

0.5

)

∴

t

=

log

(

0.5

)

log

(

0.7

)

≈

1.94

(

2

d

p

)

hour

The half life of tablet is about

2

hours.

After

t

=

3

hours , remaining drug on patient's system is

y

=

125

⋅

0.7

t

=

125

⋅

0.7

3

=

42.875

mg [Ans]

Answer: 40%

Step-by-step explanation:

To find the percent, divide the amount donated by the full amount of money raised. 400/1000 = 0.4.

Now to make this into a percentage, multiply the answer by 100. 0.4 * 100 = 40.

Percent of the fund raiser did they donate to charity 40%

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Percentages have no dimension. Hence it is called a dimensionless number. If we say, 50% of a number, then it means 50 per cent of its whole.

To find the percent,

divide the amount donated by the full amount of money raised. 400/1000 = 0.4.

Now to make this into a percentage,

multiply the answer by 100.  0.4 * 100 = 40.

To learn more about the percentage here:

https://brainly.com/question/29224972

#SPJ7

Answer:

4.8

Step-by-step explanation:

6/55= ~0.109

0.109*44=4.8

Answer:

76, 76 104

Step-by-step explanation:

Angle 3 is vertical so it is congruent to Angle 2.

Angle 6 is corresponding, so it is congruent to Angle 2.

Angle 8 is linear to Angle 6, so they add to 180

Answer:

see explanation

Step-by-step explanation:

(a)

∠ 2 and ∠ 3 are vertically opposite angles and are congruent , then

∠ 3 = 76°

(b)

∠ 3 and ∠ 6 are corresponding angles and are congruent , then

∠ 6 = 76°

(c)

∠ 2 and ∠ 8 are same- side exterior angles and sum to 180° , that is

∠ 8 + 76° = 180° ( subtract 76° from both sides )

∠ 8 = 104°

Answer:

336.00?

not 100% sure though

Answer:

your answer is 30

Step-by-step explanation:

I have completed the test

[tex]\dfrac{6+ \sqrt{27}}{4-\sqrt3} \\\\\\=\dfrac{\left(6+\sqrt{27}\right)\left(4+\sqrt 3 \right)}{\left(4-\sqrt 3\right) \left(4+\sqrt 3\right)}\\\\\\=\dfrac{24+6\sqrt 3+4\sqrt{27}+\sqrt{27\cdot 3}}{4^2 - \left(\sqrt 3 \right)^2}\\\\\\=\dfrac{24+6\sqrt3+4\sqrt{9\cdot 3} +\sqrt{81}}{16-3}\\\\\\=\dfrac{24+6\sqrt 3 +12\sqrt 3 + 9 }{13}\\\\\\=\dfrac{33+18\sqrt 3}{13}\\\\\\\text{Hence, r = 33 and s = 18}[/tex]

Answer:

C. 252 miles.

Step-by-step explanation:

Since we already know how many miles is driven for 10 gallons of gas, we only need to find 2.

Since 105 miles runs on 5 gallons, divide 105 by 5 to find out how many miles runs on 1 gallon.

105/5=21

Then, multiply that by 2 to find out how many miles run on 2 gallons of gas.

21x2=42.

Finally, add 42 to 210 to get the amount of miles that runs on 12 gallons of gas.

210+42=252

Answer:

b=34.2m

Step-by-step explanation:

equation for area of parallelogram

a=b×h

in which b is the base(length) and h is the height

[tex]690.84 = b \times 20.2[/tex]

[tex]b = \frac{690.84}{20.2} [/tex]

b=34.2m

Answer:

136° that's 90 plus 46.........

Answer:

x = 136°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle , then

x = 90° + 46° = 136°

Answer:

(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)

Answer:

20 days

Step-by-step explanation:

If he rides 12 miles every 3 days, then he rides 4 miles in one day. Divide 80 / 4 and you get 20 days.

[tex]\text{Given that,}\\\\\\(x_1,y_1) = (2,-1)~~\text{and}~~ (x_2,y_2) = (-2,-3)\\\\\\\text{Slope,}~ m =\dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-3+1}{-2-2} = \dfrac{-2}{-4} = \dfrac 12[/tex]

Answer:

Step-by-step explanation:

Using slope formula:

(y2-y1)/(x2-x1)

(-3 + 1) / (-2-2)

-2/-4

slope: 1/2

Answer:

the answer is 10,0000

Step-by-step explanation:

Answer:

x = − 3 y + 7

Step-by-step explanation:

Reorder  7  and  − 3

Answer:

y=3

Step-by-step explanation:

1/4 = 3/12

Answer:

Step-by-step explanation:

Something missing in "noticed that of the apples."  Perhaps "that 40% of . . .?"

But I'll try to answer, using an example:  

Avery noticed that 30% of the apples in a basket are red. There are 45 red apples in the basket.

To find the total number of apples, X:

(0.30)X = 45

X = 150 apples total.  45, or 45/150, is 0.3 0r 30%.

Answer:

|x-480|<=40

Step-by-step explanation:

The absolute distance on the number-line from x to 480 has to be 40.

|x-val| <= error-margin

|x-480| <= 40

Answer:lol

Step-by-step explanation:

Answer:

x= 2

Step-by-step explanation:

[tex]\boxed{slope = \frac{y _{1} - y_2}{x_1 - x_2} }[/tex]

Substitute known values into the formula:

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

[tex] - 2 = \frac{ - 16}{x + 6} [/tex]

-2(x +6)= -16

Divide both sides by -2:

x +6= -16 ÷(-2)

x +6= 8

Subtract both sides by 6:

x= 8 -6

x= 2

Step-by-step explanation:

Angle c + angle d = 180° ( linear pair)

given,

angle c = 5x + 9

angle d = 5x - 6

now,

5x + 9 + 5x - 6 = 180

10x + 3 = 180

10x = 180 - 3 = 177

10x = 177

x = 177/10 = 17.7

so,

angle C = 5x + 9 = 5(17.7) + 9 = 97.50°

angle D = 5x - 6 = 5(17.7) - 6 = 82.50°

Hope this answer helps you dear! take care!.

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 and c = - 2 , then

y = - 2x - 2 ← is the equation of the line

To find the x- intercept let y = 0 in the equation and solve for x , that is

- 2x - 2 = 0 ( add 2 to both sides )

- 2x = 2 ( divide both sides by - 2 )

x = - 1

The x- intercept is - 1 → B

Answer:

The value of 12/24 is equals to 0.5. Hence, this fraction is equivalent to 4/8.

Step-by-step explanation:

im not sure tho. hope u get it right.

Answer:

b

Step-by-step explanation:

RT is a perpendicular bisector of QS , then

Δ QRS is isosceles with 2 congruent legs , that is

QR = SR

7x - 22 = 4x + 5 ( subtract 4x from both sides )

3x - 22 = 5 ( add 22 to both sides )

3x = 27 ( divide both sides by 3 )

x = 9

Then

RS = 4x + 5 = 4(9) + 5 = 36 + 5 = 41