Select the expression that represents the following problem: A glass hols 1/4 liter of liquid. How many glasses of liquid are in 5 liters​

By using the known half-life, we can see that if the initial dose is 500mg, after 4 days the medication will be 0.0076 mg.

We define half-life as the time such that the initial amount is reduced to its half.

So, if a given substance has a half-life T, then the amount of substance as a function of time, we have:

S(t) = A*e^{-t*ln(2)/T}

Where t is the variable in time units.

We know that T = 6 hours, and A, the initial dose, is 500 mg, so the formula is:

S(t) = 500mg*e^{-t*ln(2)/6h}

Then after 4 days (or 4*24h = 96h) the amount of medication is:

S(96h) =  500mg*e^{-96h*ln(2)/6h} = 0.0076 mg.

If the initial dose was 750mg, after 4 days the person would have:

S(96h) = 750mg*e^{-96h*ln(2)/6h} = 0.0114 mg

So the person would have:

0.0114 mg -  0.0076 mg = 0.038 mg more of medication.

If you want to learn more about the half-life, you can read:

https://brainly.com/question/11152793

Answer:

Done. Check comments

Step-by-step explanation:

Inscribed angles are half the measure of the intercepted arcs. This example shows major arc BEA being intercepted by the supplement of 74, which is 106. If you double that, you get the arc, 212.

The next example shows 80 and 154 are intersected by two chords. The angle created by that intersection is the average of the two intercepted arcs. 117.

When two secant lines intersect, they form an angle that is half the measure of the DIFFERENCE of the intercepted arcs. 145 - 53 = 92/2 = 46.

This is similar to the previous one. Except the difference is between 263 and 97. ACTUALLY, I MADE AN ERROR on the comment about this one.

263-97 = 166/2 = 83***

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

As we know ~

Area of the circle is :

[tex]\qquad \sf  \dashrightarrow \:\pi {r}^{2} [/tex]

And radius (r) = diameter (d) ÷ 2

[ radius of the circle = half the measure of diameter ]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

[tex]\qquad \sf  \dashrightarrow \:r = d \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 4.4\div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 2.2 \: mm[/tex]

Now find the Area ~

[tex]\qquad \sf  \dashrightarrow \: \pi {r}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3.14 \times {(2.2)}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3.14 \times {4.84}^{} [/tex]

[tex]\qquad \sf  \dashrightarrow \:area \approx 15.2 \: \: mm {}^{2} [/tex]

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \:r = d \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 3.7 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 1.85 \: \: cm[/tex]

Bow, calculate the Area ~

[tex]\qquad \sf  \dashrightarrow \: \pi {r}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3.14 \times (1.85) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3.14 \times 3.4225 {}^{} [/tex]

[tex]\qquad \sf  \dashrightarrow \:area \approx 10.75 \: \: cm {}^{2} [/tex]

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \:\pi {r}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3.14 \times (8.3) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3.14 \times 68.89[/tex]

[tex]\qquad \sf  \dashrightarrow \:area \approx216.31 \: \: cm {}^{2} [/tex]

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \:r = d \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 5.8 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 2.9 \: \: yd[/tex]

now, let's calculate area ~

[tex]\qquad \sf  \dashrightarrow \:3.14 \times {(2.9)}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3.14 \times 8.41 [/tex]

[tex] \qquad \sf  \dashrightarrow \:area \approx26.41 \: \: yd {}^{2} [/tex]

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \:r = d \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 1 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 0.5 \: \: yd[/tex]

Now, let's calculate area ~

[tex]\qquad \sf  \dashrightarrow \:\pi {r}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3.14 \times (0.5) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3.14 \times 0.25[/tex]

[tex]\qquad \sf  \dashrightarrow \:area \approx0.785 \: \: yd {}^{2} [/tex]

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \:\pi {r}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3.14 \times {(8)}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3.14 \times 64[/tex]

[tex]\qquad \sf  \dashrightarrow \:area = 200.96 \: \: yd {}^{2} [/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

Answer:

[tex]\sf 3^{-3x}=3^{(-4x+6)}[/tex]

[tex]\sf x=6[/tex]

Step-by-step explanation:

[tex]\sf Given \ equation: \left(\dfrac{1}{27}\right)^x=3^{(-4x+6)}[/tex]

[tex]\sf As \ \dfrac{1}{27}=\dfrac{1}{3^3} \ and \ \dfrac{1}{a^b}=a^{-b} \ then \ \dfrac{1}{27}=3^{-3}[/tex]

Therefore, we can rewrite the given equation with base 3:

[tex]\implies \sf (3^{-3})^x=3^{(-4x+6)}[/tex]

Apply the exponent rule [tex]\sf (a^b)^c=a^{bc}[/tex] :

[tex]\implies \sf 3^{-3x}=3^{(-4x+6)}[/tex]

[tex]\sf If \ a^{f(x)}=a^{g(x)} \ then \ f(x)=g(x)[/tex]

[tex]\implies -3x=-4x+6[/tex]

Add 4x to both sides to solve for x:

[tex]\implies \sf x=6[/tex]

Using proportions, it is found that the value of a is of 3.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, a 180º angle has a measure of [tex]\pi[/tex] radians. What is the measure of a 540º angle? The rule of three is given by:

180º - [tex]\pi[/tex] rad.

540º - x [tex]\pi[/tex] rad.

Applying cross multiplication:

180x = 540.

x = 540/180 = 3.

The value of a is of 3.

More can be learned about proportions at https://brainly.com/question/24372153

Using proportions, the value of a is 3.

Proportion is a mathematical comparison between two numbers.

When going from degrees to radians, 180 degrees is always going to equal π radians.

The conversion of angle from radian to degree;

[tex]\rm 180-\ 1 \\\\540-a[/tex]

The value of a is;

[tex]\rm \dfrac{180}{540}=\dfrac{1}{a}\\\\\dfrac{1}{3}=\dfrac{1}{a}\\\\1 \times a=1\times 3\\\\a=3[/tex]

Hence, the value of a is 3.

Learn more about proportions at;

brainly.com/question/24372153

#SPJ4

Answer:

long side/length is 63 cm and short side/height is 28 cm

Step-by-step explanation:

18 x 3.5 and 8 x 3.5

To dilate means to grow so you grow the side by 3.5

the assumption being that "y" is encapsulating a function in "x" terms.

[tex]y+2=\cfrac{x^2}{2}-2sin(y)\implies \stackrel{\textit{taking the derivative to both sides}}{\cfrac{dy}{dx}+0=\cfrac{1}{2}(2x)\underset{chain~rule}{-2cos(y)\cdot \cfrac{dy}{dx}}} \\\\\\ \cfrac{dy}{dx}=x-2cos(y)\cfrac{dy}{dx}\implies \cfrac{dy}{dx}+2cos(y)\cfrac{dy}{dx}=x \\\\\\ \cfrac{dy}{dx}\left[ 1+2cos(y) \right]=x\implies \cfrac{dy}{dx}=\cfrac{x}{1+2cos(y)}[/tex]

Answer:x<3 that shout be right. I calculated it.

Step-by-step explanation:

Answer:

Solving for x;

-2x + 22 < 18

Get rid of constants:

-22          -22

-2x < -4

Isolate x, by dividing by -2 from both sides since the inverse operation of multiplication is division, and remember when dividing or multiplying by negative integers, you flip the inequality symbol around:

÷-2 ÷-2

x > 2

Answer:

[tex]x > 2[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x > 2\:\\ \:\mathrm{Interval\:Notation:}&\:\left(2,\:\infty \:\right)\end{bmatrix}[/tex]

Given:

-2x + 22 < 18

Solve:

[tex]\mathrm{Subtract\:}22\mathrm{\:from\:both\:sides}[/tex]

[tex]-2x+22-22 < 18-22[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-2x < -4[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]

[tex]\left(-2x\right)\left(-1\right) > \left(-4\right)\left(-1\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]2x > 4[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

[tex]\frac{2x}{2} > \frac{4}{2}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x > 2[/tex]

~Lenvy~

Answer:1260

Step-by-step explanation: photo of the graded question attached

A math class consists of 10 girls and 8 boys. The teacher wants to choose 2 girls and 2 boys to go on a trip. How many different groups could the teacher

choose?

x3060

073

5040

1260

About the minus sign with 16, square root of -1 is an imaginary number i(iota). Also we know that square root of -16 will be multiplication of square root of -1 and square root of 16. So the final answer becomes, + or - 4i. Hope this helps

Answer:

7.28 in change

Step-by-step explanation:

When she used 20 bucks it gave her 7.28 cents.

Answer:

x = 9/10

Step-by-step explanation:

This problem features a ratio: 4x/3 = 6/5

By cross multiplying you get that 4x*5 = 3*6 or 20x = 18. By dividing both sides by 20, you get that x = 18/20, and when simplified, 9/10.

Answer:

1

(

π

3

)

)

Step-by-step explanation:

Explanation:

Substitute

tan

(

y

x

)

for

θ

tan

(

y

x

)

=

π

3

Obtain

y

x

on the left by using the inverse tangent on both sides:

tan

−

1

(

tan

(

y

x

)

)

=

tan

−

1

(

π

3

)

y

x

=

tan

−

1

(

π

3

)

Multiply both sides by x:

y

=

(

tan

−

1

(

π

3

)

)

x

Answer:

I have no idea what are you talking about......

Answer:

V = 8 cm³

Step-by-step explanation:

the volume (V) of a cube is calculated as

V = s³ ( s is the side length )

here s = 2 , then

V = 2³ = 8 cm³

Answer:

8 cm

Step-by-step explanation:

Answer:

m = 3.75

Step-by-step explanation:

⇒ Angle opposing 3 in the left triangle is 53°

Answer:

13+26=39

Step-by-step explanation:

the 7th odd number is 13 and 13th even is 26

Answer:

[tex]\displaystyle 39[/tex]

Step-by-step explanation:

[tex]\displaystyle 39 = 13 + 26 \Rightarrow 39 = 13 + 2[13][/tex]

On a hundred chart, you will see that the seventh odd number is [tex]\displaystyle 13,[/tex]and the thirteenth even number is self-explanatory, so you should know what occurs there.

I am joyous to assist you at any time.

Answer:

(0, -22)

Step-by-step explanation:

       The y-intercept is the value of y when x is 0,

f(x) = -x² + 10x - 22

f(0) = -(0)² + 10(0) - 22

f(0) = - 22

                  The y-intercept is -22 at point (0, -22).

-> We can also see this when graphing, please see attached.

Note: If you want me to solve for f(x) = -x² + 10x - 12 as you wrote in text and not f(x) = -x² + 10x - 22 as the picture shows, let me know.

Answer:

rational

Step-by-step explanation:

Hope this helps!

If not I am sorry

let's keep in mind that that same/same = 1 always, so then we can say

[tex]\cfrac{spaghetti}{spaghetti}~~ = ~~\cfrac{hippopotamus}{hippopotamus}~~ = ~~\cfrac{meatballs}{meatballs}~~ = ~~\cfrac{dog}{dog}~~ = ~~\cfrac{0.\overline{55}}{0.\overline{55}}~~ = ~~\textit{\huge 1}[/tex]

well, "1" is a whole number

"1" is also an integer oddly enough

"1" can be written as a ration like 1/1, so is also rational.

The amount of the refund Julia gets as a federal income tax will be $90.

It is given in the question:

Julia's gross pay = $500

federal income tax withholding from her pay was 13% of her gross pay

federal income tax she owes is = $495

To find out the refund we will first find the amount of Federal income which is 13% of the gross pay.

[tex]\rm federal \ amount =\dfrac{4500\times 13}{100} =585[/tex]

The refund Julia will get will be

[tex]=585-495=90[/tex]

Hence the amount of the refund Julia gets as a federal income tax will be $90.

To know more about Investment follow

https://brainly.com/question/25300925

The amount of money that Han saves by using a coupon is $1.5%

The percentage off Clare's purchase with the coupon is 25%

A coupon reduces the price at which an item is sold

Amount saved = coupon discouunt x normal price

10% x $15

0.1 x $15 = $1.5

Percent off = (6/24 x 100  = 25%

To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308

Answer:

you do not have any numbers, only letters so I cannot answer your question. sorry...

Step-by-step explanation:

Select the correct answer.

Which number is an irrational number?

A.

B.

C.

D.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Assume width of rectangle be " x ", length = 3×width + 8 = 3x + 8 ~

Now, Perimeter of rectangle is :

[tex]\qquad \sf  \dashrightarrow \:2(l + w) = 56[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(3x + 8 + x) = 56[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(4x + 8) = 56[/tex]

[tex]\qquad \sf  \dashrightarrow \:4x + 8 = 56 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:4x + 8 = 28[/tex]

[tex]\qquad \sf  \dashrightarrow \:4x = 28 - 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 20\div 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:x =5 \: cm[/tex]

Hence, width = x = 5 cm

[tex]\qquad \sf  \dashrightarrow \:l = 3w + 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:l = 3(5)+ 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:l = 15+ 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:l =23 \:cm[/tex]

And, length = 26 cm

The standard form of the given equation  [tex]x^2+y^2-18x+8y+5=0[/tex] will be given as  [tex](x-9^2)+(y+4)^2=(2\sqrt{23} )^2[/tex]

The general form of the equation of the circle is given  as

[tex](x-h)^2+(y-k)^2=r^2[/tex]

We have the equation

[tex]x^2+y^2-18x+8y+5=0[/tex]

By adding 81 and 16 on both sides

[tex]x^2-18x+81+y^2+8y+16=-5+81+16[/tex]

[tex](x-9)^2+(y+4)^2=92[/tex]

[tex](x-9)^2+(y+4)^2=(2\sqrt{23})^2[/tex]

Thus the standard form of the given equation  [tex]x^2+y^2-18x+8y+5=0[/tex] will be given as  [tex](x-9^2)+(y+4)^2=(2\sqrt{23} )^2[/tex]

To know more about the equation of the circle follow

https://brainly.com/question/24307696

Answer:

x-9, y+4, & 92

Step-by-step explanation:

i did it

Answer:

[tex]3x - 1 = 5x + 7 \\ \\ 5x - 3x = 7 + 1 \\ \\ 2x = 8 \\ \\ x = \frac{8}{2} \\ \\ x = 4[/tex]

# Jerry Don is here#

Answer:

9x^2 - 24x + 16 is area in terms of x alternativly (3x-4)^2 is also true

Step-by-step explanation:

L * W =  area  length = width on a sqare so L * L = area too

(3x - 4) * (3x - 4)

use foil method

9x^2 - 24x + 16

Answer:

9x^2 − 24x + 16

Step-by-step explanation:

To find the area of a square, you use the formula

A = x^2

So we plug in 3x-4 for x

A = (3x-4)^2

A = 9x^2 − 24x + 16

Answer:

craig had played approx 5 games..

Step-by-step explanation:

25 is the amount which craig have. 25-5.2=19.9 and when we divide 19.9 with 4 ie. 19.9÷4 = 4.9

Answer:

1. any number from 42 to 68

e.g 52

2. any number less than 42 or greater than 68

e.g 76

Answer:

A) (-5,0) and (-4,0)...

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♪[/tex]

X - intercepts are the points where the curve cuts x - axis ~

for the given curve (parabola), the intercepts are :

[tex]\qquad \sf  \dashrightarrow \:(-5,0) \: \: and \: \: (-4, 0)[/tex]

The Correct choice is A

[tex]➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖[/tex]