PLEASE HELP!!! The amount of polonium-210 remaining, P(t), after t days in a sample can be modeled by the exponential function P(t) = 100e−0.006t, where 100 represents the initial number of grams in the sample. What is an equivalent expression, written as a percentage rate of polonium-210 lost, and how much polonium-210 remains (rounded to the nearest whole number) after 16 days?

Hint: Find the value of e−0.006 on your calculator. (7 points)

P(t) = 100e0.006t, 109 grams remain
P(t) = 100e0.994t, 3 grams remain
P(t) = 100(0.994)t, 91 grams remain
P(t) = 100(0.994)−t, 91 grams remain

Answer:

45 degrees

Step-by-step explanation:

Here, we want to get the value of the acute angle

From the question, we have it that the sin of the acute angle equals its cosine

Recall;

cos A = sin (90-A)

Hence, if A is 45, then Cos A and Sine A will be the same

This means the value of theta which is the acute angle is 45 degrees

Answer:

x = -20/11

Step-by-step explanation:

and how -(11 x)/4 - 5 = 0

1/4 (7 x - 12) = 1/2 (9 x + 4)

hope this helps

Answer:

X = 11/20

Step-by-step explanation:

7/4x-3=2+9/2x

We move all terms to the left:

7/4x-3-(2+9/2x)=0

Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R

Domain of the equation: 2x)!=0

x!=0/1

x!=0

x∈R

We add all the numbers together, and all the variables

7/4x-(9/2x+2)-3=0

We get rid of parentheses

7/4x-9/2x-2-3=0

We calculate fractions

14x/8x^2+(-36x)/8x^2-2-3=0

We add all the numbers together, and all the variables

14x/8x^2+(-36x)/8x^2-5=0

We multiply all the terms by the denominator

14x+(-36x)-5*8x^2=0

Wy multiply elements

-40x^2+14x+(-36x)=0

We get rid of parentheses

-40x^2+14x-36x=0

We add all the numbers together, and all the variables

-40x^2-22x=0

a = -40; b = -22; c = 0;

Δ = b2-4ac

Δ = -222-4·(-40)·0

Δ = 484

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

x1=−b−Δ√2ax2=−b+Δ√2a

Δ−−√=484−−−√=22

x1=−b−Δ√2a=−(−22)−222∗−40=0−80=0

x2=−b+Δ√2a=−(−22)+222∗−40=44−80=−11/20

Answer:

where's the question?

Step-by-step explanation:

is it a question?

Answer:

whats the question?

Step-by-step explanation:

Answer:

$20.30  plus tax

Step-by-step explanation:

You multiply 28 x .30 and that is your discount.

Answer:

$20.30

Step-by-step explanation:

Answer:

Volume of cylinder = 12,560 feet³

Step-by-step explanation:

Given:

Height of cylinder = 40 ft

Radius of cylinder = 10 ft

Find:

Can its volume be 10 ft ?

Computation:

Volume of cylinder = πr²h

Volume of cylinder = (22/7)(10)²(40)

Volume of cylinder = (3.14)(10)²(40)

Volume of cylinder = (3.14)(100)(40)

Volume of cylinder = 12,560 feet³

Volume of this cylinder never be 10 feet

Answer:

Area:12.5663706            Circumference: 12.5663706

Step-by-step explanation:

Answer:

Solution given:

7x-29=2x+16[length from the circumference of circle is equal to same point]

7x-2x=16+29

5x=45

x=45/5=9

now.

XY=2×9+16=18+16=34 is your answer

The measure of tangent XY is 34.

If two tangents are drawn to a circle from an external point, then they are equal in length.

This property is often used in geometry problems to find the length of a tangent segment or to solve for an unknown variable.

We have,

The two tangents in a circle are equal.

So,

2x + 16 = 7x - 29

Solve for x.

2x + 16 = 7x - 29

7x - 2x = 16 + 29

5x = 45

x = 9

Now,

XY

= 2x + 16

= 2 x 9 + 16

= 18 + 16

= 34

Thus,

The measure of XY is 34.

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Answer: 1

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Answer:

1 Simplify  4x\times 2y4x×2y  to  8xy8xy.

8xy-2y\times 2x-5xy

8xy−2y×2x−5xy

2 Simplify  2y\times 2x2y×2x  to  4yx4yx.

8xy-4yx-5xy

8xy−4yx−5xy

3 Simplify.

-xy

−xy

Step-by-step explanation:

Step-by-step explanation:

all the fractions should have the same bottom or denominator

so I multiplied the bottom numbers together which is 140

at the top I multiplied 3 x35, 2x28 and 20x1

added them together and got

181/140

Answer:

5y^5

Step-by-step explanation:

there is no real solution. really i just simplified. if you wanted a real answer y would have to be giving. if not then this is all the question is asking. for you to simplify

Answer:

Step-by-step explanation:

let Jordan age be X & Anna age be Y

so,

Jordan is 12 years older than Anna.

x = y + 12 ......... (1)

The sum of their ages is 50.

x + y = 50 ........ (2)

putting value of x from (1) into (2)

x + y = 50

(y + 12) + y = 50

2y + 12 = 50

2y = 50 - 12

2y = 38

y = 38÷2

y = 19

putting value of y in (2)

x + y = 50

x + 19 = 50

x = 50 - 19

x = 31

so,

Jordan age = 31 years

Anna age = 19 years

Step-by-step explanation:

B.shoes=$120

%D=10%

%D=10%×120÷100=$12

Answer:

A

Step-by-step explanation:

I am to determine the future value of Thomas' deposit with annual compounding

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years  

840 x (1.075)^5 = 1205.93

I am to determine the future value of Sherill's deposit in 5 years using simple interest

The amount that would be in the account = amount deposited + interest earned on deposit

interest earned on deposit can be determined by determining the simple interest

Simple interest = amount deposited x time x interest rate

1250 x 0.069 x 5 = 431.25

Amount that would be in her account after 5 years = 1250 +  431.25 =  1681.25

Sheril's money is higher by - 1681.25 -  1205.93 = 475.32

Answer:

C

Step-by-step explanation:

because d + Q = 19 is just counting the coins, not the monetary value

and .25q + .10d signs values per coin type.

Answer:

See Below.

Step-by-step explanation:

We are given that ΔAPB and ΔAQC are equilateral triangles.

And we want to prove that PC = BQ.

Since ΔAPB and ΔAQC are equilateral triangles, this means that:

[tex]PA\cong AB\cong BP\text{ and } QA\cong AC\cong CQ[/tex]

Likewise:

[tex]\angle P\cong \angle PAB\cong \angle ABP\cong Q\cong \angle QAC\cong\angle ACQ[/tex]

Since they all measure 60°.

Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:

[tex]m\angle PAC=m\angle PAB+m\angle BAC[/tex]

Likewise:

[tex]m\angle QAB=m\angle QAC+m\angle BAC[/tex]

Since ∠QAC ≅ ∠PAB:

[tex]m\angle PAC=m\angle QAC+m\angle BAC[/tex]

And by substitution:

[tex]m\angle PAC=m\angle QAB[/tex]

Thus:

[tex]\angle PAC\cong \angle QAB[/tex]

Then by SAS Congruence:

[tex]\Delta PAC\cong \Delta BAQ[/tex]

And by CPCTC:

[tex]PC\cong BQ[/tex]

Answer:

Step-by-step explanation:

To prove PC = BQ, we need to prove triangle APC and ABQ are congruent.

AP = AB as they are part of equilateral triangle APB

AC = AQ as they are part of equilateral triangle AQC

Angle PAC = Angle PAB + Angle BAC = 60 + Angle BAC

Angle BAQ = Angle QAC + Angle BAC = 60 + Angle BAC = Angle PAC

By SAS, triangle APC and ABQ are congruent and therefore

PC = BQ

Answer:

18 mph

Step-by-step explanation:

12.6 × 5 =68.0. 68 - 50 = 18

Answer:

35 mph

Step-by-step explanation:

As you might have learned in your physics class, the average speed of a car in mph is 50. You should write this down on some paper.

After writing it down, we need to look at what the problem is asking us, so we don't get confused. " How fast was he going on the way to the bookstore?"

This means that we need to calculate his mph speed on the way to the bookstore by subtracting something.

50 mph=Average

Alternate Route= -15

After you have written THAT down in your notes, you need to ask yourself,

"What is 50-15?"

Calculating 50-15 will make the "15 mph slower" show up and calculating that with the average will get you your answer.

50-15 is 35

Answer:

check receipt, know the return policy, read the fine print.

Step-by-step explanation:

The responsibilities of a consumer includes check receipt, know the return policy, read the fine print.

Every consumer have basic responsibility they need to adhere to when making a purchase. This is done to protect their right via consumer laws and these responsibilities includes

When a consumer makes a purchase, s/he is required to check the receipt in order to avoid over billing or charges from done intentionally or not. Knowing the return policy and reading the fine print would guide you in the use of the product.

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Answer: 1/4

Step-by-step explanation:

2-1/2 ==> 1/2

3-1/3 ==> 2/3

4-1/4 ==> 3/4

1/2 x 2/3 x 3/4 = 6/24

*Reduce 6/24*

1/4

Answer:

-3 = D

Step-by-step explanation:

A really smart freind of mine says this is the answer.

Answer:

540

Step-by-step explanation:

area of trapezium is b×h

Answer:

540 Sq m

Step-by-step explanation:

Area of parallelogram EFGH

= base * height

= 30 * 18

= 540 Sq m

Answer: 9.

Step-by-step explanation:

6 large rooms which will add up to 18

9 small rooms which will also add up to 18 totaling the 36 guests.

The no. of small and large rooms in the hotel are 9 and 6 respectively.

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, Emily is blocking off several rooms in a hotel for guests coming to her wedding.

Let us assume that small rooms be x and large rooms to be y.

Emily booked a total of 15 rooms which is x + y = 15...(i).

which can accommodate 36 guests altogether which is 2x + 3y = 36...(ii)

Now if we multiply eqn(i) by 2 it'll be 2x + 2y = 30...(iii)

Now subtracting eqn(iii) from eqn(ii) we get y = 6.

substituting the value of y in eqn(iii) we get x = 9.

So, the number of small rooms is 9 and no. of large rooms is 6.

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Answer:

3.25 and -2.651639344262295...

Step-by-step explanation:

if 0.5(r + 2.75) = 3, then r = 3.25

if 30.5(r + 2.75) = 3, then r = -2.651639344262295...

I would appreciate Brainliest, but no worries.

Answer:

3.25

Step-by-step explanation: