Element X decays radioactively with a half life of 13 minutes. If there are 530 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 11 grams?

Answer:

A = 2000(1.042)^t; $2667.50

Step-by-step explanation:

The formula or model for Compound Interest is given as:

A = P(1 + r/n)^nt

Where:

A = Amount or Balance after t years

P = Principal or initial amount invested = $2000

r = Interest rate = 4.2% = 0.042

t = Time in years = 7 years

n = Compounding frequency = Annually = per year = 1

Hence, the compound interest function to model for the situation (Question) with time t above is:

A = 2000(1 + 0.042) ^1 ×t

A = 2000(1.042)^t

Therefore solving for the balance

A = 2000(1.042)^7

A = 2,667.50

A = $2667.50

Therefore, option a =

A = 2000(1.042)^t; $2667.50

is the correct option.

answer:   8

Steps / explaination

Answer:

It equals 3

Step-by-step explanation:

To solve this it is basically like a normal problem you would just take out the X in it and divide 7 by 21 which leaves you with 3.

Answer:

The answer is;

54.4

Step-by-step explanation:

The given parameter are;

Triangle ΔFGH = Right triangle

The length of segment [tex]\overline {FH}[/tex] = 48

The measure of ∠HFG = 28°

The measurement required = The measure of segment [tex]\overline {FG}[/tex] = x

The measure of ∠FHG = 90° angle opposite hypotenuse side of a right triangle

Therefore, ∠FGH = 180° - ∠HFG - ∠FHG = 180° - 90° - 28° = 62°

∠FGH = 62°

By sine rule, we have;

[tex]\overline {FH}[/tex]/(sin ∠FGH) = [tex]\overline {FG}[/tex]/(sin(∠FHG)

By substituting the known values, we have;

48/(sin 62°) = x/(sin(90°)

sin(90°) = 1, therefore, we have;

x/1 = x = 48/(sin 62°) = 54.4 (by rounding the answer to the nearest tenth)

x = 54.4

Answer:

60

Step-by-step explanation:

Answer:

Step-by-step explanation:

a = 2 ; b = 4

4a + 2b² - 2(a -3b) = 4*2 + 2(4)² - 2 (2 - 3*4)

                             = 4*2 + 2*16 - 2(2 -12)

                            = 4*2 + 2*16 - 2* (-10)

                             = 8 + 32 + 20

                             = 60

Answers:

All three sides are 36 units long.

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

Explanation:

Triangle ABC is equilateral, so all three sides are the same length.

Pick any two of those sides, set them equal to each other, and solve for x

AB = BC

8x+4 = 11x-8

8x-11x = -8-4

-3x = -12

x = -12/(-3)

x = 4

Use this x value to find each side. We should get the same value (if not, then an error occurred in solving for x).

We get the same value for the three side lengths, so this confirms we have the correct x value.

Answer:

x = 1

Step-by-step explanation:

Length of the rectangle = x

Width of the rectangle = 2x + 3

Side length of the square = 3x

Perimeter of the rectangle = 2(length + width)

= 2{x + (2x+3)}

= 2(x + 2x + 3)

= 2x + 4x + 6

= 6x + 6

Perimeter of a square = 4 * length

= 4 * 3x

= 12x

If both polygons have the same perimeter

Perimeter of the rectangle = Perimeter of a square

6x + 6 = 12x

6 = 12x - 6x

6 = 6x

x = 6/6

x = 1

non-linear functions

Average Rate of Change is used primarily with non-linear functions, since all linear functions have a constant rate of change.

Answer:

see explanation

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

[tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{75}{25}[/tex] = 3

[tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{225}{75}[/tex] = 3

[tex]\frac{a_{4} }{a_{3} }[/tex] = [tex]\frac{675}{225}[/tex] = 3

This indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex]  = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 25 and r = 3 , then

a₆ = 25 × [tex]3^{5}[/tex] = 25 × 243 = 6075

The wholesale price isn't given, suppose the wholesale price is $5

Answer:

$6.25 ; 1441.8 pesos

Step-by-step explanation:

Number of items purchased = 24

Wholesale price of item = x

To obtain a 25% profit, the sales price would be :

Wholesale price = wholesale price + 25% of wholesale price

(x = x + 0.25x) per unit

For 24 items :

24x + 0.25 * 24x

Unit wholesale price = 5

24(5) + 0.25*24(5)

= $150

Hence, sale price per unit will be :

$150 / 24

= $6.25

Total profit in pesos :

1 dollar = 48.06 pesos

Total profit = $150 - 24(5) = $150 - $120 = $30

$30 = (30 * 48.06) = 1441.8 pesos

Answer:

g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12?

Step-by-step explanation:

Answer:

minimum value is -21;  ordered pair of min value is (3, -21)

Step-by-step explanation:

graph the function and find the lowest point on the curve

Answer: -12 I believe I’m sorry if I’m wrong I’m not smart

Step-by-step explanation:

Simplifying

2(3x + -5) = 7x + 2

Reorder the terms:

2(-5 + 3x) = 7x + 2

(-5 * 2 + 3x * 2) = 7x + 2

(-10 + 6x) = 7x + 2

Reorder the terms:

-10 + 6x = 2 + 7x

Solving

-10 + 6x = 2 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

-10 + 6x + -7x = 2 + 7x + -7x

Combine like terms: 6x + -7x = -1x

-10 + -1x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0

-10 + -1x = 2 + 0

-10 + -1x = 2

Add '10' to each side of the equation.

-10 + 10 + -1x = 2 + 10

Combine like terms: -10 + 10 = 0

0 + -1x = 2 + 10

-1x = 2 + 10

Combine like terms: 2 + 10 = 12

-1x = 12

Divide each side by '-1'.

x = -12

Simplifying

x = -12

Answer:

13x + 10

Step-by-step explanation:

First distribute, (2)(3x) + (2)(5) + 7x

This gives you 6x + 10 + 7x

Then combine then like terms 6x + 10 + 7x

To get (6x + 7x) + (10)

And a final answer of 13x + 10 :)

Answer:

4 x 3 is 12 so he has 12 marbles on his desk

Answer:

log (2x)=3

2=ln 3x)

4=log(x)

f(x=1)=−1f(x=2)=1f(x=3)=3

Answer: 6 2/3 ft

Explanation:

1. Turn the mixed number (26 2/3) into an improper fraction by multiplying 26 by 3 and then adding 2. (26x3=78)(78+2=80=80/3)

2. Now divide 80 by the number of pieces she’s cutting (4). (80÷4=20)

3. Now divide 20 by the denominator (3) to convert it back into a mixed number. (20÷3=6 2/3)

Answer:

=

(

x

−

5

)

2

Step-by-step explanation:

=(x-5) exponent 2

Yes

No, x² + 10x + 20 is not a perfect square trinomial.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

A quadratic polynomial,

x² + 10x + 20.

A perfect square trinomial is an expression that may be constructed from the binomial equation's square.

That means, the roots are repeated.

Solving the equation, we get,

x = (-5 ± √5)

The roots are not repeated.

Therefore, it is not a perfect square trinomial.

To learn more about the quadratic function;

https://brainly.com/question/11485644

#SPJ2

Answer:

what do you need help on?

Answer:

no solution

Step-by-step explanation:

because the x values got cut out, there's no solution

Answer:

its 40,000

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Two sides, GH and GI, in ∆GHI are of the same side length as corresponding two sides, TU and TV, in ∆TUV.

To prove that both triangles are congruent using the SSS Congruence Theorem, therefore, the their third sides, HI and UV must be equal.

Therefore,

9x - 21 = 15

Add 21 to both sides

9x - 21 + 21 = 15 + 21

9x = 36

Divide both sides by 9

x = 4

Answer:

C

Step-by-step explanation:

Answer:

I believe it's the one on the bottom left

Step-by-step explanation:

I'm still taking my test so I'll come back later to tell you if it's correct.

Answer:

It's the one on the bottom left

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

The 2 triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{x}{8}[/tex] = [tex]\frac{3.5}{14}[/tex] ( cross- multiply )

14x = 28 ( divide both sides by 14 )

x = 2

Answer:

Answer:

Step-by-step explanation:

I never seen that kind of question

Answer:

x<3

Step-by-step explanation:

Let's solve your inequality step-by-step.

0>3x−3−6

Step 1: Simplify both sides of the inequality.

0>3x−9

Step 2: Flip the equation.

3x−9<0

Step 3: Add 9 to both sides.

3x−9+9<0+9

3x<9

Step 4: Divide both sides by 3.

Answer:

x = 52°

Acute angle = 64°

Step-by-step explanation:

Problem 1:

Since DN bisects <BDW, this means that m<BDN = m<NDW

Thus:

5v - 8 = 4v + 4

Collect like terms

5v - 4v = 8 + 4

v = 12

x = m<BDN = 5v - 8

x = 5v - 8

Plug in the value of v

x = 5(12) - 8

x = 52°

Problem 2:

First, find the value of y

(4y - 44) + (3y + 35) = 180 (linear pair)

4y - 44 + 3y + 35 = 180

7y - 9 = 180

7y = 180 + 9

7y = 189

Divide both sides by 7

y = 27

Acute angle = 4y - 44

Plug in the value of y

Acute angle = 4(27) - 44 = 64°

Answer:

m<−18

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

m+12<−6

Step 2: Subtract 12 from both sides.

m+12−12<−6−12

m<−18

Answer: b

Step-by-step explanation: in order to be a function an input value should only have one output value. 8 has two output values ( 2 and -1 ) so it’s not a function.

Answer: it is B. 39t + 54

Step-by-step explanation:

9(4t + 6) + 3t --- (distribute the 9 to 4t and 6 (9(4t) + 9(6))

36t + 54 + 3t --- (combine like terms, 36t + 3t)

39t + 54

Answer:

Are you making a new post?

Step-by-step explanation:

Answer:

the answer is (3, 2)

Step-by-step explanation:

the formula to find the centroid of a triangle is

{( x1+x2+x3)/3 , ( y1+y2+y3)/3}