Situation: A 22 gram sample of a substance that's used to sterilize surgical instruments has a k value of 0.138. n equals ne^-kt no=initial Mass( at time t=0) N= mass at time t k= a positive constant that depends on the substance itself and on the units used to measure time t= time, in days find the substances Half-Life, in days. Round your answer to the nearest tenth

Answer:

B

Step-by-step explanation:

(f - g)(x) = f(x) - g(x) and

f(x) - g(x) = 4x² + 1 - (x² - 5) = 4x² + 1 - x² + 5 = 3x² + 6 → B

To find (f-g)(x), we simply subtract g(x) from f(x) and combine like terms. The resulting function is (f-g)(x) = 3x^2 + 6, therefore the correct answer is B. 3x^2 + 6.

To find (f-g)(x), we subtract the function g(x) from f(x). Given f(x) = 4x^2 + 1 and g(x) = x^2 - 5, we perform the subtraction:

f(x) - g(x) = (4x^2 + 1) - (x^2 - 5)

First, distribute the negative sign through the g(x) function:

f(x) - g(x) = 4x^2 + 1 - x^2 + 5

Now, combine like terms:

f(x) - g(x) = 4x^2 - x^2 + 1 + 5

f(x) - g(x) = 3x^2 + 6

So the correct answer is B. 3x^2 + 6.

Final answer:

Dia ran for 1 1/2 hours at a speed of 4 mph. To find the distance, multiply the time (1.5 hours) by the speed (4 mph) to get a total distance of 6 miles.

Explanation:

On Wednesday, Dia ran for 1 1/2 hours at an average speed of 4 miles per hour. To calculate how far Dia ran, we can use the formula for distance, which is d = v × t, where d stands for distance, v stands for velocity (speed in this case), and t stands for time.

To start, we convert the 1 1/2 hours into a decimal to make the multiplication easier. Since 1/2 hour is equivalent to 0.5 hours, Dia ran for a total of 1.5 hours.

Now we calculate the distance using the formula:

Therefore, Dia ran a total distance of 6 miles.

Let's do this in steps.

#1. Subtract 4 from both sides.

16x = -4

#2. We'd technically be done, but we need to divide 16 into 4 which is a fraction.

x = -14/6

#3. Simplify 14/6 to 1/4.

x = 1/4.

Decimal form is -0.25.

Ask any questions!

Answer:

Food.

Step-by-step explanation:

They could eat anything, really.

Answer:

apples

Step-by-step explanation:

The answer would be b- ML.

to do this you should look at the similarity statement and match up the letters in the correct order... if that makes sense?

Answer:   [tex]\overlien{ML}[/tex]

Step-by-step explanation:

We know that the corresponding parts of two congruent triangles are congruent.

If [tex]\triangle{LMC}\cong\triangle{BJK}[/tex]

Then , [tex]\angle{L}\cong\angle{B}[/tex]

[tex]\angle{M}\cong\angle{J}[/tex]                            (1)

[tex]\angle{C}\cong\angle{K}[/tex]                           (2)

Then from (1) and (2) the side congruent to [tex]\overlien{JB}[/tex] is [tex]\overlien{ML}[/tex].

Answer:

5

Step-by-step explanation:

The common difference of any arithmetic sequence is the difference between two consecutive terms in the sequence.

In the provided sequence

-1-(-6)=5

4-(-1)=5

9-4=5

14-9=5

Therefore the common difference, d=5

The answer is 6x^4

You can find the equation to your question here

https://brainly.com/question/9720288#readmore

The answer explains in detail and is easy to understand.

Answer:

[tex]6x^4[/tex]

Step-by-step explanation:

the expression we have is:

[tex](\sqrt{2x^3})( \sqrt{18x^5} )[/tex]

Because it is a product of two square roots, we can put it together in one:

[tex]\sqrt{(2x^3)(18x^5)}[/tex]

and we carry out the multiplication inside the square root

(to multiply the variable x we sum the exponents 3+5=8)

[tex]\sqrt{2*18x^{3+5}}\\\\=\sqrt{36x^8} \\[/tex]

and now we can take the square root of 36 which is 6.

and to take the square root if [tex]x^8[/tex] we divide the exponent by 2:

[tex]=6x^{8/2}\\=6x^4[/tex]

the simplified product is:  [tex]6x^4[/tex]

Answer:

least to gratest is ,-33,-9,-3,3,15

Step-by-step explanation:

sin(x) = 1/2 when x is 30°, 150°, 210°, or 330° (unit circle).

With those angles, the cos(x) is ±√3/2 and the tan(x) is ±√3/3.

Answer:

[tex]cos(x)=\pm \frac{\sqrt3}{2}[/tex]

[tex]\tan(x)= \pm \frac{1}{\sqrt3}[/tex]  

Step-by-step explanation:

We are given the following information in the question:

[tex]\sin(x) = \displaystyle\frac{1}{2}[/tex]

We use the trigonometry identity:

[tex]\sin^2(x) + cos^2(x) =1[/tex]

Putting the value, we get,

[tex]\bigg(\displaystyle\frac{1}{2}\bigg)^2 + \cos^2(x) = 1\\\\\cos^2(x) = \frac{3}{4}\\\\\cos(x)=\pm \frac{\sqrt3}{2}[/tex]

Formula:

[tex]\tan(x) = \displaystyle\frac{sin(x)}{cox(x)}\\\\tan(x) = \frac{\pm \frac{1}{2}}{\frac{\sqrt3}{2}} = \pm \frac{1}{\sqrt3}[/tex]

➷ Go up from 2 on the x axis until you hit the line

Go across to see what value it hit the line at

This will give you the answer of $1

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

D is the answer

Step-by-step explanati

The cost would be $103.18. It would be 14.74 per pound times 7 pounds=$103.18. Hope this helps

the answer is one .two  can only go into itself once hope this helps :)

Answer:

The answer is 1.

Step-by-step explanation:

To solve this problem, first you set up the division equation.

2 ÷ 2

Then, solve.

2 ÷ 2 = 1.

Therefore, 1 is the answer.

Answer:

Step-by-step explanation:

[tex]g(x) =\frac{1}{2} f(x+3)+\frac{1}{2}[/tex]

Following changes are made in f(x) i.e. Line m to get g(x) i.e. the Line m'

1) Multiplication of f(x) by 1/2

Multiplying the function by a number indicates dilation. So this means Line m is dilated by a factor of 2. The dilation in this case is compression. So the function is being compressed by a factor of 2.

2) Addition of 3 to x

Addition of a value directly to x shifts it horizontally towards left. So Line m is shifted 3 units to left.

3) Addition of 1/2 to function value

Addition of a number to function value indicates vertical upward shift. So the Line m is shifted up by 1/2 units

Therefore, the correct answers are:

Answer:

I have tried the answer given on Math Nation and it told me the answer was wrong. The answers are:

Step-by-step explanation:

Answer:

Financing to education

Step-by-step explanation:

Lyndon Johnson was the 36th president of the United Nations. He introduced democratic reforms in the 1965 which came to be collectively known as the Great Society Program. These reforms included civil rights legislation, consumer protection, healthcare and funding of education.

Answer:

The correct answer is 4pi yd²

Step-by-step explanation:

The area of a circle is calculated using the formula A=πr², where A is area and r is radius of the circle. We obtain the radius of the circle by dividing the length of the diameter by 2, thus, the radius of the circle in the question is 4yd/2=2yd

substituting for the values we get, A= π×(2yd)²

A=4π yd²

ANSWER

[tex]A=4\pi {yd}^{2} [/tex]

EXPLANATION

The area of a circle is calculated using the formula,

[tex]A=\pi \: {r}^{2} [/tex]

The given circle has diameter which is 4 yards.

We divide the diameter into 2, to get the radius.

[tex]r = \frac{4}{2} = 2yd[/tex]

We substitute the radius to obtain,

[tex]A=\pi( {2}^{2} )[/tex]

This gives us,

[tex]A=4\pi {yd}^{2} [/tex]

Answer:

the answer is 66

Step-by-step explanation:

Theorem :If from one external point, two tangents are drawn to a circle then they have equal tangent segments.

Two tangents DB and BE are drawn to a circle from one point i.e.B

So, Using theorem

DB=BE =10 cm

So, Using theorem  

CF = CE = 15 cm

So, using theorem

AD =FA = 8 cm

Now AC = FA+CF = 8+15=23 cm

CB =BE+EC = 10+15=25 cm

AB = AD+DB=8+10=18 cm

Perimeter of triangle = Sum of all sides  

                                     =AB +CB+AC

                                     = 18 + 25 +23

                                     = 56 cm

Hence the perimeter of ΔACB is 56 cm

Answer:

h = 21.6 m

Step-by-step explanation:

*I'm assuming that you need the height.  If not, let me know and I'll edit my answer...

The formula for volume of a pyramid is

V = (1/3)Bh    where B is the area of the base, and h is the height

We are given V = 8820, and the base is a square with area of 35² = 1225, plug  those in and find the height...

8820 = (1/3)(1225)h

    26460 = 1225h     (multiply both sides by 3 to get rid of the fraction)

        26460/1225 = h     (divide both sides by 1225 to isolate h)

              21.6 = h

Answer:

1946m ²

Step-by-step explanation:

5 miles = 1 hour

1 mile = 1hour/ 5 miles = 1/5 hour

1/5 hour in minutes = 60 ÷ 5 = 12 mins.

Ans = 12 minutes

Happy to help! Marking my answer as the Brainliest would really be aprreciated.

Answer: [tex]y=4x[/tex]

Step-by-step explanation:

A direct variation equation has the form:

[tex]y=kx[/tex]

Where k is a constant.

By definition, we know that the perimeter of the square is the sum of the lengths of its sides or, as all the sides are equal, you can multiply the lenght of any side by 4.

 Then, knowing that y is the dependent value and x the independent value and the constant k=4, you can write the following direct variation equation that represents the situation.

[tex]y=4x[/tex]

Final answer:

The direct variation equation that represents the perimeter (Y) of a square in relation to its side length (X) is Y = 4X, where the constant of variation is 4.

Explanation:

The question asks us to write a direct variation equation where perimeter of a square is the dependent variable (Y) and the side length is the independent variable (X). For a square, the perimeter (P) is equal to four times the side length (s), hence we can write the direct variation equation as Y = 4X. This equation indicates that the perimeter of a square directly varies with its side length, with the constant of variation being 4.

Answer:

The solutions are (-2 , 0) and (1 , 3)

Step-by-step explanation:

∵ -x² + 4 = x + 2

* y = -x² + 4 ⇒ is quadratic represented by parabola

 The parabola open downward because coefficient of x² is negative

 The x-coordinate of its vertex = -b/2a, where b is the

  coefficient of x and a is the coefficient of x²

∴ x = 0/2(-1) = 0

∴ The y-coordinate of the vertex = (0)² + 4 = 4

∴ The maximum point of the parabola is (0 , 4)

∵ -x² + 4 intersects x-axis at y = 0

∴ -x² + 4 = 0 ⇒ -x² = -4 ⇒ x² = 4

∵ x² = 4

∴ x = ±√4 = ± 2

∴ the parabola intersects x-axis at -2 , 2

∵ y = x + 2 represented by a line its slope = 1

  It intersects y-axis at 2

∵ x + 2 intersects x-axis at y = 0

∴ x + 2 = 0

∴ x = -2

∴ The parabola and the line intersect each other at

  x = -2 and y = 0

To find all the point of intersection between the 2 equations we will solve them as a system of equations

∵ y= -x² + 4  and y = x + 2

∴ -x² + 4 = x + 2

∴ -x² + 4 - x - 2 = 0

∴ -x² - x + 2 = 0 ⇒ × -1

∴ x² + x - 2 = 0 ⇒ factorize

∴ (x + 2)(x - 1) = 0

∴ x + 2 = 0 ⇒ x = -2

∴ x - 1 = 0 ⇒ x = 1

* when x = -2 ⇒ y = -2 + 2 = 0 ⇒ (-2 , 0)

* when x = 1 ⇒ y = 1 + 2 = 3 ⇒ (1 , 3)

The solution graphically

Answer:

The graph consists of a parabola and a line. The parabola opens down and has a vertex of (0, 4). The line has a slope of 1 and a y-intercept of 2

c:

Answer:

The system has no solution

Step-by-step explanation:

Encountering an incorrect mathematical statement anywhere within the solution such as

1 = 3 which of course is false

Indicates the system has no solution

Answer:

5,760,000

Step-by-step explanation:

9000000 x 8 x (6+2)/100=90000 x 8 x 8

                                         =5,760,000

I added 2 to 6 because of the additional 2 years.

Answer:

Step-by-step explanation:

g(t)=t^2 - t

f(x) = (1 + x)

g(f(x)) = f(x)^2 - f(x)

g(f(x)) = (x + 1)^2 - x - 1

g(f(0)) = (0 +1)^2 - x - 1

g(f(0)) = 1 - 1  - 1 = -1

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

f(x) = 1 + x

f(g(t)) = 1 + g(t)

f(g(t)) = 1 + t^2 - t

f(g(0)) = 1 + 0 - 0

f(g(0)) = 1

The answer I'm getting is 0.

Answer:

Step-by-step explanation:g(t)=t^2 - t

f(x) = (1 + x)

g(f(x)) = f(x)^2 - f(x)

g(f(x)) = (x + 1)^2 - x - 1

g(f(0)) = (0 +1)^2 - x - 1

g(f(0)) = 1 - 1  - 1 = -1

Answer:

Area = base * height

224 = 16 * height

height = 14

The height is 14 centimeters.

Your answer is c.

Step-by-step explanation:

Use the distributive formula to solve for n:

-a(b + c) = -ab - ac

So, to solve this you would have to use the distributive property:

-1/3n - 5 = -2

Add 5 to both sides

-1/3n - 5 + 5 = -2 + 5

-1/3n = 3

Now, multiply -3 from both sides

-1/3 * -3 n = 3 * -3

Simplify

n = -9

Hope that helped!!

~A̷l̷i̷s̷h̷e̷a̷♡

Answer:

n= -9

Step-by-step explanation:

-1/3(n+15) = -1/3 * n and -1/3* 15

-1/3*n=  -1/3n

-1/3*15= -5

-1/3n -5= -2

Add 5 to both sides

-1/3n = 3

Now divide 3 by -1/3

3/ (-1/3) = -9

n= -9

It is 1 with a remainder of 3

Answer:

X intercept is (0,-250) and Y intercept is (0,100)

Step-by-step explanation:

You just look at where the line intercepts the x and y intercepts

Answer:

Step-by-step explanation:

We have a rectangle with dimensions 12 ft × 6 ft in the base of the pyramid and two pairs of triangles with a base of 12 ft and 6 ft and heights of 8 ft and 9.5 ft.

The area of a base:

[tex]A_B=(12)(6)=72\ ft^2[/tex]

The areas of the triangles:

[tex]A_1=\dfrac{(12)(8)}{2}=(6)(8)=48\ ft^2\\\\A_2=\dfrac{(6)(9.5)}{2}=(3)(9.5)=28.5\ ft^2[/tex]

The Surface Area:

[tex]S.A.=A_B+2A_1+2A_2[/tex]

Substitute:

[tex]S.A.=72+2(48)+2(28.5)=72+96+57=225\ ft^2[/tex]

Answer:

1:4

Step-by-step explanation:

Both 14 and 56 are divisible by 14

14/14 =1

56/14 =4

The ratio 14:56  becomes 1:4

Answer:

y-int = +5

Step-by-step explanation:

Sum and Diff is just saying add up all like terms then plug in 0 into the x terms to get y. It's actually a lot easier than you think.

Combine like terms for the sum and difference. And some some of them you going have a negative for differences