Q2
The function R(t) = 50e -0.013t
models the number
of grams in a sample of radium after t years. On which
interval is the sample's average rate of decay the
slowest?
[0, 5]
[10, 20]
[25, 30]
[25,35]

Answer:

288 pages

Step-by-step explanation:

Step 1: Set up a fraction (Since 75% is 216, 100% is x. We don't need the percent (%).)

[tex]\frac{216}{75} = \frac{x}{100}\\\\[/tex]

Step 2: Solve; Divide the given values (All we are doing is finding what is between those values.)

[tex]\frac{216}{75}\\\\216 \div 75\\\\= 2.88[/tex]

Step 3: Multiply the result to the value (Now we multiply the result to 100 because that would make it equal.)

[tex]100\\\\2.88 \times 100\\\\= 288[/tex]

Therefore, the book is 288 pages long.

Answer:

5.4'

Step-by-step explanation:

See diagram attached.

The 8' wire is the hypotenuse of the triangle, with a base angle of 42°.

Hence the height is the length of the hypotenuse multiplied by sin(42°)

H = 8sin(42°) = 8 *0.6691 = 5.353'

(see similar or identical question 23903470)

Answer:

116

Step-by-step explanation:

a line is 180 degrees so subtract 64 and you get 116, that is your angle

Given: these two lines are parrallel cut by a transversal, 4 is 64 degrees

because 4 is given we know 6 is also 64 becasue they are alternative interior angles

all straight lines measure to 180 degrees so 3 and 5 become 116 because 180-64=116 (we also know these lines are parallel becasue 4 and 5 are supplementary, they add up to 180 as well.)

becasue 5 is 116 8 needs to be 64 and becasue 8 is 64 to equal 180 7 needs to be 116 (again, they need to add up to 180 becasue they are a straight line)

Answer:

Let his net salary = x.

He spent 1/4th of x on School fees

Remainder = 1-1/4 = 3x/4

He spent 1/4th THE REMAINDER on Electricity and Water Bils

1/4 of remainder (3x/4) = 1/4 x 3x/4 = 3x/16

He spent 3x/16 of this salary on Electricity and Water Bills... We should subtract this to know our current value or cash at hand

New Remainder = 3x/4 - 3x/16

= 9x/16.

He spent 1/9th OF WHAT REMAINED ON TRANSPORT.

1/9 x 9x/16

=x/16

New Remainder

= 9x/16 - x/16

=x/2.

If he finally had 8,400

Then

x/2=8,400

x=2x8,400

x= 16,800.

This answer is Correct. You can check it by using our x as 16,800 and solve from the start... You'll arrive at 8400 as your remainder. Have a great day!!!

Answer:

I suck at algebra. your on your own for this one buddy

Answer:

40 minutes

Step-by-step explanation:

I don't think the number of players affect the amount it takes to play the piece. The answer is probably still 40 minutes

Answer:

[tex]\text{First number: }-10, \\\text{Second number: }-4[/tex]

Step-by-step explanation:

We can write the following system of equations:

Let the first number be [tex]f[/tex] and the second number be [tex]s[/tex]:

[tex]\begin{cases}f+6=s, \\2f-4=6s\end{cases}[/tex]

Solving, we get:

[tex]\int\limits^a_b {x} \, dx \begin{cases}f+6=s, \\2f-4=6s\end{cases},\\2f-4=6(f+6),\\2f-4=6f+36,\\-40=4f,\\f=\boxed{-10}[/tex]

Solving for [tex]s[/tex]:

[tex]f+6=s,\\-10+6=s,\\s=\boxed{-4}[/tex]

Answer:

slope = -3 and equation of line is y = -3x+16

Step-by-step explanation:

two points, (0,16), and (2,10)

rise/run: y2-y1/x2-x1 = 10-16/2-0 = -6/2 = -3

Answer:

64.1

Step-by-step explanation:

2 time 3.14 times 10.2

64.056

64.1

Answer:

x<40

Step-by-step explanation:

x-15<25

Add 15 since addition is opposite of subtraction, thus cancelling the 15 out on both sides.

x-15<25

 +15 +15

x<40

---

hope it helps

Explanation:

[tex]f(x) = 2x^2 -px + p\\given \ f(x) \ \ leaves ] remainder \ when \ divided \ by \ x - p \\\\Therefore, \\\\f(p) = 6\\\\=> f(p) = 2(p)^2 -p(p) + p = 6\\\\==>2(p)^2 - p^2 + p = 6\\\\=> p^2 + p - 6 = 0\\\\=>p^2 + 3p - 2p -6 = 0\\\\p(p+3)-2(p+3) =0 \\\\(p-2)(p+3) = 0\\\\p = 2, -3[/tex]

Answer : p = 2

Answer: El grado de una ecuación lo marca el monomio (o término) de mayor grado absoluto. 5x + 3 = 2x + 1 Ecuación de primer grado (cada término posee solo una incógnita y su exponente es uno) . 5x + 3 = 2x 2 + x Ecuación de segundo grado.

Respuesta:

03:40 pm;

15: 40;

20 minutos antes de las 4 pm;

40 minutos después de las 3 pm

Explicación paso a paso:

20 minutos antes de las 4 de la tarde se pueden expresar de las siguientes formas:

Basado en un tiempo de 12 horas, podría escribirse tiene: 3: 40 pm

Usando el formato de reloj de 24 horas; donde 3 pm es equivalente a 15; por lo tanto, podría escribirse como: 15:40

Además, el tiempo se puede informar en palabras de la siguiente manera:

20 minutos antes de las 4 pm

También ;

40 minutos después de las 3 pm

Answer:

[tex]Area = 10[/tex]

Step-by-step explanation:

Given

[tex]A = (2,1)[/tex]

[tex]B =(4,7)[/tex]

[tex]C =(6,3)[/tex]

Required

The area of the park

The outline is a triangle and as such, the area is calculated using:

[tex]Area = \frac{1}{2}|(x_1y_2 - x_2y_1) + (x_2y_3 - x_3y_2) + (x_3y_1 - x_1y_3)|[/tex]

This gives:

[tex]Area = \frac{1}{2}|(2*7 - 4*1) + (4*3 - 6*7) + (6*1 - 2*3)|[/tex]

Using a calculator, we have:

[tex]Area = \frac{1}{2}|-20|[/tex]

Remove absolute bracket

[tex]Area = \frac{1}{2}*20[/tex]

[tex]Area = 10[/tex]

Answer:

B (8,031)

Step-by-step explanation:

None of these could be 24,093 + 3 so I'm gonna assume you meant ÷ instead of +

Answer:

y=12

Step-by-step explanation:

y is inversely proportional to x

y=k/x

k is a constant of proportionality

k=yx

y1x1=y2x2

8(9)=y2(6)

y2=8(9)/6

y2=12

Answer:

1. 23

2. 8

Step-by-step explanation:

1. 180-157 = 23

2. 15²+x²=(9+x)²

225 +x²=81+18x +x²

225-81=18x

144 = 18x

x = 144/18 = 8

Let the cost price of article be x :

x + x × ( 15/100 ) = 2300

x + x × ( 5 × 3 / 5 × 20 ) = 2300

x + x × ( 3 / 20 ) = 2300

x + ( 3 × x / 20 ) = 2300

x + ( 3x / 20 ) = 2300

( 20x / 20 ) + ( 3x / 20 ) = 2300

20x + 3x / 20 = 2300

23x / 20 = 2300

Multiply both sides by 20

( 23x / 20 ) × 20 = 2300 × 20

23x = 2300 × 20

23x = 23 × 2000

Divide both sides 23

23x ÷ 23 = ( 23 × 2000 ) ÷ 23

x = Rs 2000

Answer:

if there smaller than 90 degrees then it's acute if the angle is bigger then 90 degrees it's obtuse

Step-by-step explanation:

Answer:

You would receive $13.75

Step-by-step explanation: What i did was divided 7.50 by 6 so it would give me the price of 1 bagel(1.25).I subtracted 11 and 6 which would give me 5 so I know how much I need to calculate with the discount. Then I multiplyed 5 times 1.25 (6.25) so I could get the price for 5 bagels. After I added 7.50 and 6.25 which would give you your answer of $13.75.

I hope this helps and makes sense to you. Please mark brainlist!

Step-by-step explanation:

Answer:

You would receive $13.75

Step-by-step explanation:

What i did was divided 7.50 by 6 so it would give me the price of 1 bagel(1.25).I subtracted 11 and 6 which would give me 5 so I know how much I need to calculate with the discount. Then I multiplyed 5 times 1.25 (6.25) so I could get the price for 5 bagels. After I added 7.50 and 6.25 which would give you your answer of $13.75.

Hope u understand

Please mark brainliest

Thank You

Answer:

14.7%

Step-by-step explanation:

Being that there is 4 red, 2 blue, 6 green, 8 white, that means there is 20 marbles, with 8 success, 8/20. Since the marble is not replaced, that drops it to 7/19 for the second pull. Multiply these together and you get 14.7%.

(8/20)*(7/19)=.147

.147*100=14.7

Answer:

yes

Step-by-step explanation:

it has a 90 degree angle

Answer:

x = 37 if im correct

Step-by-step explanation:

Answer:

from what I'm seeing the answer is C

Let's think of this like a point. We know the y-value, but not the x-value. Therefore, in order to find b, we should plug in our known y-value, 19, for r(x).

19 = 2b + 1 || We can leave it as x in our equation or change it to b. Either way you will get the same answer. I changed it to b in this case just to follow through with what the question is asking.

18 = 2b

b = 9

Hope this helps!! :)

Answer:

9

Step-by-step explanation:

They are asking what value of x can you input into 2x+1 so that the outpot is 19.

In other words, you need to solve 2x+1=19.

Subtracting 1 on both sides gives: 2x=18.

Dividing 2 on both sides gives: x=9.

So r(9)=19 since 2(9)+1 is 19.

Step-by-step explanation:

To evaluate, substitute 29 for the variable in the expression.

To evaluate, substitute 31 for the variable in the equation.

To evaluate the expression, add 31 to 29.

The correct expression is n-31.

To evaluate the expression, subtract 31 from 29Pls hurry

Rafael writes an expression to represent "a number, n, decreased by thirty-one." Then he evaluates that expression if

n-29. Which statements are true about the expression and its evaluation? Check all that apply.

The correct expression is 31-n.

This is a subtraction expression.

This is an addition expression.

To evaluate, substitute 29 for the variable in the expression.

To evaluate, substitute 31 for the variable in the equation.

To evaluate the expression, add 31 to 29.

The correct expression is n-31.

To evaluate the expression, subtract 31 from 29..

Answer: what’s the answer ?

Step-by-step explanation:

If each cylinder is 4 feet tall and has a diameter of 1 foot then the amount of sand needed to fill the cylinders is 19 cubic feet.

Given that there are 6 cylindrical posts protecting the equipment

To find tge amount of sand needed for cylinders,

We need to find the volume of each cylinder.

The cylinder is 4 feet tall and has a diameter of 1 foot,

Height is 4 feet

Diameter is 1 foot and radius is 1/2 feet.

Volume of cylinder = πr²h

=3.14×(1/4)(4)

=3.142 cubic feet.

As there are six cylinders.

Multiply 6 with 3.142

Amount of sand needed = 6×3.142

= 18.852 cubic feet.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

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Answer:

2 x 2 x 2 x 2 = 16 possible outcomes

You have two sides of a coin, you flip 4 coins.

Now we just multiply 2 by itself 4 times.

Answer:

Tails, Head, Tails, Head

Tails, Tails, Head, Head

Head, Head, Tails, Tails

Head, Tails, Head, Tails

Tails, Tails, Tails, Head

Tails, Tails, Head, Tails

Tails, Head, Tails, Tails

Head, Tails, Tails, Tails

Head, Head, Head, Tails

Head, Head, Tails, Head

Head, Tails, Head, Head

Tails, Head, Head, Head

​Tails, Tails, Tails, Tails

Head, Head, Head, Head