Help please, I would really appreciate it. :)

Answer:

Step-by-step explanation:

Using the equation A(t) = 400e-.032t

a) replace t with 4 so A(4) = 400e((-.032)(4))

The hardest part about this is making sure to use order of operations. Be certain it works like this:

A(4) = 400e-.128

A(4) = 400(.8799)

A(4) = 351.9 grams

b) A(8) = 400e((-.032)(8)) = 309.7 grams

c) A(20) = 400e((-.032)(20)) = 210.9 grams

Note here that even after 20 years, not quite half of the original amount is gone. So, we can anticipate that in finding the half life, that our answer should be slightly greater than 20 years.

d) 200 = 400e(-.032t)

Divide both sides of the equation by 400.

.5 = e(-.032t)

Change this to logarithmic form.

Ln .5 = -.032t

-.6931≈ -.032t

t ≈ 21.7 years

Hope this helps!

The amount of radioactive lead,

(a).After 3 years is 454.23 grams

(b).After 8 years is 387.07 grams

(c).After 10 years is 363.07 grams.

(d). half life is 21.66 years.

The decay of radioactive lead is given by function,

                          [tex]A(t)=500e^{-0.032t}[/tex]

The amount of radioactive lead After 3 years is,

             [tex]A(3)=500e^{-0.032*3}=0.908*500=454.23g[/tex]

The amount of radioactive lead After 8 years is,

            [tex]A(8)=500e^{-0.032*8}=500*0.774=387.07g[/tex]

The amount of radioactive lead After 10 years is,

            [tex]A(10)=500e^{-0.032*10}=500*0.726=363.07g[/tex]

Half life is defined as the interval of time required for one-half of the atomic nuclei of a radioactive sample to decay.

So,       [tex]250=500e^{-0.032t}[/tex]

            [tex]e^{-0.032t}=0.5\\\\-0.032t=ln(0.5)\\\\-0.032t=-0.693\\\\t=0.693/0.032=21.66 years[/tex]

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Answer:

p=(-0.0125n) + 42.5

Step-by-step explanation:

Let p= price

n = number of shirts

m = slope of the line (note, the more shirts, the lower the price, so we know it's going to be negative)

b = y intercept

There are two points which are (1000, $30) and (3000, $5)

Our slope m = (p1-p2)/(n1-n2)

Filling in from our points m = (30-5)/(1000-3000)

m = 25/-2000

m = -0.0125

Since we have determined our slope, we can now find our equation

p-p1=m(n-n1)

p-30=(-0.0125)(n-1000)

p-30= (-0.0125n) + 12.5

p=(-0.0125n) + 42.5

Then, we can double check with the other point there:

p=(-0.0125n) + 42.5

5? (-0.0125x 3000) + 42.5

5= 5

Therefore,linear equation in the form p(n) is

p=(-0.0125n) + 42.5

Answer:

if im understanding right the answer should be x = -1

Step-by-step explanation:

5x - 11 = 3x - 9

subtract 3x

2x -11 = -9

add 11

2x = -2

divide by 2

x = -1

Answer:

Degrees- 40°

Minutes- 46'

Seconds- 48.00"

Step-by-step explanation:

40° + 46'/ 60 + 48.00"/ 3600= 40.78°

Answer:

Step-by-step explanation:

40.78°=40°+0.78°=40°+(78/100)×60=40°+46.8'=40°+46'+0.8'=40°46'+(8/10)×60=40°46'48''

Answer:

90

Step-by-step explanation:

Answer:

1222/99

Step-by-step explanation:

12.343434.. =

= 12.(34)

= 12 34/99

= (12*99+34)/99

= (1188+34)/99

= 1222/99

Answer:

Hey there!

Pythagorean Theorem

a^2+b^2=c^2

10^2+36^2=c^2

100+1296=c^2

1396=37.4.

Um... did you make a typo?

Let me know if you did, because then I can edit my answer.

Answer:

A. x > -1 or x < -1

Step-by-step explanation:

5x - 29 > -34                     or                   2x + 31 < 29

Add 29 to both sides.                             Subtract 31 from both sides.

5x > -5                              or                    2x < -2

Divide both sides by 5.                          Divide both sides by 2.

x > -1                                 or                    x < -1

Answer: x > -1 or x < -1

Answer:

5-46i

Step-by-step explanation:

1. Multiply (10-4i) and (4-5i), I recomnd using foil:

40-50i-16+20i^2 + (-15+20i)

2. Remove the parenthesis around -15+20i

*we can do this since there is a "+":    

40-50i-16+20i^2 + (-15)+20

3. Simplify i^2

* i^2 is -1 by textbook defination:

40-50i-16+20(-1) + (-15)+20

4. Simplify

40-50i-16-20 + (-15)+20

6. Combine like terms:

-5-50i-16i+20i

5-46i

And the problem is done

Answer:

Two and three fourtieths.

Step-by-step explanation:

5 6/8 + 4 4/5

= 46/8 + 24/5

= 83/40

= 2 3/40

Two and three fourtieths(2 3/40) is the answer.

Answer: 9 22/40

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

It's d because it has the highest x value. The higher x value is the farther it is from the y-axis

Answer:

Number : 42

Step-by-step explanation:

This number will be a two - digit number, and hence we can say that it is yz. The ratio of the units digit to the tens digit is given by 1 / 2, so z / y = 1 / 2.

In addition the tens digit is 2 more than the units digit, so y = z + 2. We therefore have the following system of equations,

y = z + 2,

z / y = 1 / 2

Substituting the first equation into the second we receive z / z + 2 = 1 / 2. Using this we can solve for z.

z / z + 2 = 1 / 2 ( Cross - Multiply )

z + 2 = 2z, z = 2

And knowing z we can solve for y. y = z + 2 = 2 + 2 = 4. Therefore our number is 42.

Answer:

That the fractions are reduced with all common factors canceled.

Step-by-step explanation:

Hello,

Before an algebraic fraction is selected I should that the fractions are reduced with all common factors cancelled so that I got the irreducible fraction.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

Option (B).

Step-by-step explanation:

Since "measure of an angle formed between the tangent and a chord measure the half of the intercepted arc."

Therefore, x = 2 × (65)°

x = 130°

Since, measure of the inscribed angle is half of the measure of the intercepted arc.

Therefore, x = 2y

y = [tex]\frac{x}{2}[/tex]

y = [tex]\frac{130}{2}[/tex]

y = 65°

Therefore, Option (B). 65° will be the correct option.

Answer:

1

Step-by-step explanation:

It starts with number one, so one must be the initial value of the sequence.

1

 Step-by-step explanation:

Answer:

[tex]\Huge \boxed{3}[/tex]

Step-by-step explanation:

The function is given :

f(x) = 4x + 15

For f(-3), the input for the function f(x) is -3.

Replace the x variable with -3.

f(-3) = 4(-3) + 15

Evaluate.

f(-3) = -12 + 15

f(-3) = 3

The output for f(-3) is 3.

Answer: f(-3) = 3

Step-by-step explanation: Notice that f is a function of x.

So we want to find f(-3).

We find f(-3) by plugging -3 in for x,

everywhere that x appears in the function.

So we have 4(-3) + 15.

4(-3) is -12 so we have -12 + 15 which is 3.

So f(-3) is 3.

Answer:

Well the correct answer is −4x+28... But I don't

see that as one of your options. :/

Simplify:

18−2(x+x−5)

Distribute:

=18+(−2)(x)+(−2)(x)+(−2)(−5)

=18+−2x+−2x+10

Combine Like Terms:

=18+−2x+−2x+10

=(−2x+−2x)+(18+10)

=−4x+28

Answer:

−4x+28

Answer:

Option D is the correct option.

Step-by-step explanation:

18 - 2 [ x + ( x - 5 ) ]

Remove the unnecessary Parentheses

⇒18 - 2 [ x + x - 5 ]

Collect like terms

⇒18 - 2 [ 2x - 5 ]

Distribute 2 through the parentheses

⇒18 - 4x + 10

Add the numbers

⇒28 - 4x

Hope I helped!

Best regards!!

Answer:

[tex]\huge \boxed{17}[/tex]

Step-by-step explanation:

Point M is on the line segment LN.

LM = 7

MN = 10

LN = LM + MN

LN = 7 + 10 = 17

The value of the line segment LN is 17.

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that point, M is the online segment LN. Given LM=7 and MN=10,

The value of the line segment will be calculated as:-

Point M is on the line segment LN.

LM = 7

MN = 10

LN = LM + MN

LN = 7 + 10 = 17

Therefore, the value of the line segment LN is 17.

To know more about line segments follow

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Answer:

Step-by-step explanation:

Hello, when you try to find the intersection point(s) you need to solve a system like this one

[tex]\begin{cases} y&= m * x + p }\\ y &= a*x^2 +b*x+c }\end{cases}[/tex]

So, you come up with a polynomial equation like.

[tex]ax^2+bx+c=mx+p\\\\ax^2+(b-m)x+c-p=0[/tex]

And then, we can estimate the discriminant.

[tex]\Delta=(b-m)^2-4*a*(c-p)[/tex]

If [tex]\Delta<0[/tex] there is no real solution, no intersection point.

If [tex]\Delta=0[/tex] there is one intersection point.

If [tex]\Delta>0[/tex] there are two real solutions, so two intersection points.

Hope this helps.

Answer:

When two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°

Step-by-step explanation:

Based on the Inscribed Angles Theorem, the measure of an intercepted arc is twice the measure of the inscribed angle that intercepts it in a circle.

Consequently, the theorem also Holds that the measure of two inscribed angles intercepting the same arc, are congruent. In other words, both angles together are the same, and their sum would give you the measure of the arc they both intercept.

In the diagram shown in the attachment below, we have 2 inscribed angles, angle A and B. They both intercept the same arc of 75°.

Therefore, we can conclude that the measure of both angles equal 75°, which is the same as the measure of the arc they intercept.

Angle A = Angle B

m<A + m<B = measure of intercepted arc = 75°

Answer:

LCM of 7/25 and 3/25 is 25

Step-by-step explanation:

The full meaning of LCM is Lowest (Least) Common Multiple

Lowest (Least)Common Multiple can be defined as the lowest or least number that is the multiple of two or more number. Note that this least number is not zero

Lowest(Least) common Multiple when applied to fractions is the least number that is the multiple of the denominators of the fraction.

In the above question, we are asked stop find the LCM of 7÷25 and 3÷25

= LCM of 7/25 and 3/25

The two denominators are the same, hence, the LCM is 25.

Answer:

THE ANSWER WOULD BE TRUE MY FRIEND

Answer:

Step-by-step explanation:

[tex](1,5)=(x_1,y_1)\\(9,0) = (x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\d = \sqrt{(9-1)^2 +(0-5)^2}\\ \\d = \sqrt{(8)^2+(-5)^2}\\ \\d = \sqrt{64+25}\\ \\d = \sqrt{89}\\[/tex]

The distance between the points (1, 5) and (9, 0) is √89 units.

In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represent the data points (coordinates) on a cartesian coordinate.

By substituting the given end points (1, 5) and (9, 0) into the distance formula, we have the following;

Distance = √[(9 - 1)² + (0 - 5)²]

Distance = √[(8)² + (-5)²]

Distance = √[64 + 25]

Distance = √89 units.

Read more on distance here: brainly.com/question/12470464

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Answer:

THEY ARE COMPLIMENTARY BUT NOT NECESSARILY CONGRUENT.

Step-by-step explanation:

This is so because their lines don't meet.

Answer:

The answer is - 18

Step-by-step explanation:

[tex] \frac{2}{3} n = - 12[/tex]

To solve the equation multiply both sides of the equation by 3

That's

Simplify

Divide both sides of the equation by 2

We have the final answer as

The value of n that makes the equation true is - 18

Hope this helps you

Answer:

Width = 9

Step-by-step explanation:

According to the problem...

3x = length

x = width

2(3x + x) = 72

3x+x = 36

4x = 36

x = 9 = width

Hope that helped!!! k

Answer:

10

Step-by-step explanation:

the distance is given by

[tex] \sqrt{ {(2 - ( - 6))}^{2} + {(10 - 4)}^{2} } [/tex]

=

[tex] \sqrt{100} [/tex]

= 10

Answer:

8

Step-by-step explanation:

rows=x

each row=(x+5) tomatoes

she increased the number of rows by 3

and doubled the number of tomatoes in each row

3multiplied by x=3x

(2x+10) because she doubled them

3x+10÷2x

=8

I've tried I hope this helps

Answer:

the percentage share for BBC2 remained almost the same at about 11 % each year

if you look at the chart the BBC2 almost remains stable between 10 and 12 %

1980 ( between 39 and 51)

1985 ( between 37 and 49 ) and so on

( these numbers are not exactly the same , it is about or approximately)

Answer:

see explanation

Step-by-step explanation:

The hypotenuse is the longest side thus is (4x + 1)

The legs are 2x and (4x - 1)

Using Pythagoras' theorem, then

(4x + 1)² = (2x)² + (4x - 1)² ← expanding factors

16x² + 8x + 1 = 4x²  + 16x² - 8x + 1 , that is

16x² + 8x + 1 = 20x² - 8x + 1 ( subtract 20x² - 8x + 1 from both sides )

- 4x² + 16x = 0 ( multiply through by - 1 )

4x² - 16x = 0 ← factor out 4x from each term

4x(x - 4) = 0

Equate each factor to zero and solve for x

4x = 0 ⇒ x = 0

x - 4 = 0 ⇒ x = 4

Now x > 0, thus x = 4

2x = 2(4) = 8

4x - 1 = 4(4) - 1 = 16 - 1 = 15

4x + 1 = 4(4) + 1 = 16 + 1 = 17

Thus

perimeter = 8 + 15 + 17 = 40 cm