Complete the table

Original Price: [ ? ]
Percent of Discount: 25%
Sale Price: $40

What is the original price?

there will be approximately 61 grams of the radioactive rhodium remaining after 120 seconds.

A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay. Over time, exponential functions monitor constant growth. Examples from the actual world include radioactive decay, compound interest, and bacterial proliferation.

Given, You have 976 grams of a radioactive kind of rhodium.

The formula for the amount of a substance remaining after a certain amount of time given its half-life is:

N = N₀ *[tex](1/2)^{t / t_{1/2} }[/tex]

where:

N₀ is the initial amount of the substance

N is the amount of the substance remaining after time t

t₁/₂ is the half-life of the substance

In this problem, N₀ = 976 grams, t = 120 seconds, and t₁/₂ = 30 seconds. We can plug these values into the formula and solve for N:

N = 976 * (1/2)⁽¹²⁰/³⁰⁾

N = 976 * (1/2)⁴

N = 976 * 0.0625

N ≈ 61

Therefore, after 120 seconds, there will be approximately 61 grams of the radioactive rhodium remaining.

Learn more about exponential growth and decay here:

https://brainly.com/question/17161065

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Answer:

1.25

Step-by-step explanation:4 pounds equal to 1 dollar so that means that each pound equals to 0.25 cents. SO, now you multiply 0.25 x 5= 1.25

Answer:

Y=(-1/2)x+9/2

Step-by-step explanation:

For straight lines y=mx+c

m=gradient

Find the gradient first-m=(y2-y1) /(x2-x1)

Take the points M and N and substitute in the equation

m=(5-2)/(-1-5)

m=-1/2

Gradient of line MN×gradient of perp line =-1

There fore gradient of perp line =2

Answer:

A

Step-by-step explanation:

Vertical line test. Draw vertical lines (you don't have to actually draw them, imagine them) across the relation. If any line intersects two portions of the relation, it is not a function.

Answer:

~Shoto todoroki here~

The Mathematical tables and graphs are a good way to represent patterns. It helps to organize data and can reveal the relationships, making it easier to write equations that describe the patterns.

(Hope this helps!)

Step-by-step explanation:

1) 165⁰

2) 180⁰

Note:FOR initial temperature check the temperature at t=0

I hope it helped you

Answer:

b

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Given expression:

[tex](10 - 3 + 5)^{2}} \times \dfrac{1}{4}[/tex]

Simplify the expression in the parenthesis

[tex]\implies (12)^{2} \times \dfrac{1}{4}[/tex]

Simplify the exponents in the expression:

[tex]\implies (12) \times (12) \times \dfrac{1}{4}[/tex]

[tex]\implies 144 \times \dfrac{1}{4}[/tex]

∴ Recall that: (a × 1/b = a ÷ b)

[tex]\implies 144 \div 4[/tex]

Simplify the expression:

[tex]\implies 144 \div 4[/tex]

[tex]\implies \boxed{36}[/tex]

Answer:

C)  36

Step-by-step explanation:

Given expression:

[tex]\dfrac14(10-3+5)^2[/tex]

Following the order of operations, carry out the operations inside the bracket first:

[tex]\implies \dfrac14(7+5)^2[/tex]

[tex]\implies \dfrac14(12)^2[/tex]

Now carry out the exponent:

[tex]\implies \dfrac14(144)[/tex]

Finally:

[tex]\implies \dfrac{144}{4}=36[/tex]

$48.865 per headphone

unit rate : total cost/total items

unit rate:

390.92/8

48.865

Each headphone costs $48.865

Answer:

The missing angle = 113°

Step-by-step explanation:

Let the missing angle be x

Sum all angles in a triangle = 108°

34° + 33° + x° = 108°

x° = 108° - 34° - 33°

x° = 113°

!!PLEASE PLEASE PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!

Answer:

[tex]\tt x=113^o[/tex]

Step-by-step explanation:

We know that the sum of angles in a triangle is always 180°.

So the sum of the three angles must be 180°.The two angles you know measure 34° and 33°.

Now, let's write an equation and find the measure of the unknown angle:-

[tex]\tt 34^o+33^o+ x=180^o[/tex]

[tex]\tt 67^o+x=180^o[/tex]

[tex]\tt x=180^o-67^o[/tex]

[tex]\tt x=113^o[/tex]

Therefore, the measure of the missing angle is 113°.

Answer:

You have to use the cafeteria-style formula where you multiply all the numbers  

Step-by-step explanation:

First u multiply

18 by 14 and then by 16

Answer:

Step-by-step explanation:

Triangle - 3 sides

Perimeter - Add

5ft + 12ft = 17ft

Answer:

90

Step-by-step explanation:

15+15=30

3x30=90

Therefore, the answer to what divided by 6 equals 15 is 90. You can prove this by taking 90 and dividing it by 6, and you will see that the answer is 15. Tip: For future reference, when you are presented with a problem like "What divided by 6 equals 15?", all you have to do is multiply the two known numbers together.

Therefore, n=90 is your correct answer

Answer:

39

Step-by-step explanation:

1- Put your numbers in acending order

2- cross out the first number and the last number until you are in the middle number

3- the number is 39

Answer: 39

Step-by-step explanation: I took the quiz myself and that was the answer.

Answer:

3:6

Step-by-step explanation:

8 ÷ 4 = 2

2 ÷ 1 = 2

6 ÷  3 = 2

Answer:

1. 2:8

2. 1:4

3. 3:12

Step-by-step explanation:

There are 2 parts of oil for every one part of vinegar.

2+1=3

The ratio is made up of 3 total parts.

The part to whole ratio of oil to total is 2:1.

We are looking for an equivalent ratio that has 8 spoonfuls of oil.

If we have 4 times as much oil, we also need 4 times as much vinegar.

Also, we will have 4 times as much total dressing.

2x4=8

1x4=4

3x4=12

Answer:

choice B- no

Step-by-step explanation:

We have been given that Nate has 100 bananas. He will eat 2 of them every day.

Let x represent number of days. So bananas eaten in x days would be .

Total number of bananas, y, left after x days would be

We know that two proportional quantities are in form , where, k is constant of proportionality.

Since our equation is not in form , therefore, number of bananas Nate has left is not proportional to the number of days that pass.

Answer:

D. This is impossible

Step-by-step explanation:

In math, when you solve an answer and you’re given no solution, it means that whatever equation you just did cannot be solved, and is therefore, impossible; there is no answer.

Side note: If you have any further questions feel free to let me know.

Answer:

B. The lines are parallel and do not intersect.

Step-by-step explanation:

Answer:

2x(x+2)

Step-by-step explanation:

4(b + c) / z

Reason:

We factor 4 from 4b+4c to get 4(b+c). The z in the denominator stays where it is. This factoring is possible because of the distributive property.

This is why [tex]\frac{4b+4c}{z}[/tex] is the same as [tex]\frac{4(b+c)}{z}[/tex]

Side note: you should use parenthesis to write (4b+4c)/z, which indicates all of 4b+4c is over top the z. This is because 4b+4c/z might get mistaken for [tex]4b+\frac{4c}{z}[/tex]

Answer:

Step-by-step explanation:

Answer:

73

Step-by-step explanation:

12(6) + 1/4 • 2^2

Square the 2 first.

12(6) + 1/4 • 4

Then multiply from left to right.

72 + 1

Lastly, add.

73

The parenthesis around the 6 mean multiplication, not the Parenthesis that are grouping symbols if you are learning PEMDAS. So your question has no grouping symbol parenthesis. Next comes Exponents, that's why we squared the 2. Multiply and Divide come next IN THE ORDER THAT THEY APPEAR FROM LEFT TO RIGHT. Then the same method with adding and subtracting. That's called the order of operations.

Answer:

E

I use Desmos graphing to solve this

^● ●^

Answer:

Step-by-step explanation:

Discussion and Correction

The algrebra  itself is fine. The exclusions are not so good. The difficulty comes in the denominator. It factors into (2x)(x - 3). x cannot take on a value of 0 (that was pointed out and that is correct). The problem comes in the plus/minus 3. Plus 3 is correct. x - 3 will come 0 if x = 3. Nothing bad will happen if x = - 3

Answer: So the exclusions in the denominator should be modified to x = 3.

Answer:

The excluded values are x-values that make the denominator of the original expression zero, since [tex]\dfrac{a}{0}[/tex] is undefined.

[tex]x = -3[/tex] is not an excluded value since this x-value does not make the  denominator zero.

[tex]x = -3[/tex] makes the numerator zero, but as [tex]\dfrac{0}{a}=0[/tex] it is not an excluded value.

Therefore, step 3 of her work should read:

[tex]\textsf{Finding excluded values}:x\neq 0\:\textsf{and}\:x\neq 3[/tex]

Answer:

1 (y + x)

(x + y)

Answer:

395.64 m³

Step-by-step explanation:

Volume (figure)

Answer:

The answer is 396m^3.

Step-by-step explanation:

The solution is in the attached file

in essence, how many times does 2/3 go into 9?  well, is just a division, so

[tex]9\div \cfrac{2}{3}\implies \cfrac{9}{1}\div \cfrac{2}{3}\implies \cfrac{9}{1}\cdot \cfrac{3}{2}\implies \cfrac{27}{2}\implies 13\frac{1}{2}[/tex]

Answer:

8.8.

Step-by-step explanation:

There are 5 values so:

mean = (3+5+10+11+15)/ 5

= 44/5

= 8.8.

Answer: 6.3

Step-by-step explanation: