Dr. Banner monitored the decay of a new type of recyclable material he developed for his
gamma radiation study. He noted that the decay of the material could be modeled by the
function f(x) = 100(0.98). What is the rate of decay of Dr. Banner's material?

[tex]Q_3-Q_1=Q_i[/tex]Answer:

The answer is 10. Frank has done more than Marquis by10.

Step-by-step explanation:

From the internet, the interquartile is Q_3-Q_1=Q_inter

From Marquis his Q_3 = 40 and Q_1 = 20

[tex]Q_3-Q_1=Q_i[/tex]

40-20=20

From Frank his Q_3 = 40 and Q_1 = 10

[tex]Q_3-Q_1=Q_i[/tex]

40-10=30

Frank's interquartile is 30 and Marquis interquartile is 20.

Differences between the both of them.

30-20=10

Answer:

Step-by-step explanation:

No of red marbles=n(A)=3.Total no of marbles=n(s)=3+2+5=10.Probability,p(A)=n(A)/n(s)

Answer:

[tex]\text{the volume of the prism =} \ 4\frac{1}{2} \ ft^3[/tex]

Step-by-step explanation:

Formula _____________________

the volume of a prism = base × height

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

[tex]\text{base\ =} \ 2\times 1\frac{1}{2} =2\times \left( 1+\frac{1}{2} \right) =2\times \left( \frac{3}{2} \right) =3[/tex]

[tex]\text{the volume of the prism =} \ 3\times \left( 1\frac{1}{2} \right) =3\times \left( \frac{3}{2} \right) =\frac{9}{2} =4\frac{1}{2}[/tex]

Answer:

410.7 cm^3

Step-by-step explanation:

volume = (l*w*h)/3

volume = (14*8*11)/3

volume = 410.667

Answer:

  (a)  Step 2. 9x -12 = 13 +2x

Step-by-step explanation:

The distributive property says a factor outside parentheses multiplies each term inside parentheses. It is an error to do addition of the factor, or to miss multiplying a term.

In Step 2 of this "solution", the factor of 3 is erroneously added to each coefficent inside parentheses. It should be multiplied.

Correct Step 2: 9x -12 = 13 +2x

__

The rest of the solution should be ...

  Step 3: 9x -2x = 13 +12

  Step 4: 7x = 25

  Step 5: x = 25/7

___

Check

  3(3(25/7) -4) = 8 + 2(25/7) +5

  3((75 -28)/7) = 13 +50/7

  141/7 = 141/7 . . . . . answer checks OK

From the calculations, the volume of the sculpture is 27 times the volume of the model.

The volume of a cube is obtained using the formula;

Volume = l^3

Where l is the length of each edge. We should note that the lengths of all the edges in a cube are equal.

Hence,

volume of the model = (25)^3 = 15625 in^3

volume of the sculpture = (3 * 25)^3 = 421875  in^3

Ratio of the volume of the sculpture to the volume of the model = 421875  in^3/15625 in^3

= 27:1

Hence, the volume of the sculpture is 27 times the volume of the model.

Learn more about volume: https://brainly.com/question/12908738

1.) The measure of each angle of  ABC is equal to the corresponding angle of  A'B'C' , the measures of this angle is preserved when you rotate the triangle.

2.) It was clear that triangle A'B'C' is dilated form ABC, meaning the angles will be the same.

3.) The rules for dilation only change the length of the triangle not the angles.

Answer:

Step-by-step explanation:

Answer:

25.25

Step-by-step explanation:

3y-1 (y) = 102

4y-1 = 102

4y = 101

y = 25.25

Answer:

See below ~

Step-by-step explanation:

Given

Solving

Solution

Step-by-step explanation:

3x - 5x - 4 - x^2 + 12x - 17x^2 - 16

= -2x - 20 - 18x^2 + 12x

= 10x - 20 - 18x^2

Hope it helpz~ uh..

Answer: 2hours

Step-by-step explanation:

Allison does 3/4 and Amir does 1/4

Amir can do 1/8 in 1hr, how long will it take to complete ¼ work

1/4 ÷ 1/8 =2

Step-by-step explanation:

if i pick (3,4) and (6,10)

the formula for gradient is difference in y divided by difference in x . therefore

10-4 divided by 6 - 3 equals to 6 divided by 3 = 2

the gradient is 2

Answer:

It takes 10 groups of 7 to make 7 tens

Step-by-step explanation:

I’m smart

Answer: I only have the first answer sorry. The 1st answer is $13.50

Step-by-step explanation:

I multiplied $4.50 by the 3 kids and got $13.50 for the snacks.

Answer:

false

Step-by-step explanation:

as a guy who studied calculus, a lot of things were done that are just mathematically incorrect. for instance,

infinity - infinity is not 0.

0÷0 is undefined. so you cant just equate it to ( 2 × infinity)

to sum up this proof is entirely false.

if you still have any doubts make sure to ask.

Answer:

Refer to the attachment .

_______

Hope it helps ⚜

Answer:

Step-by-step explanation:

Here are the examples:

In this case, a X coordinate will increase by 2.

Correct choice is C.

GCF is the highest value that can divide an expression. The equivalent expression to  10x^2y + 25x^2 is 5x^2 (2y + 5)

GCF is the highest value that can divide an expression. Given the expression below

10x^2y + 25x^2

Find the factor of each

10x^2y = 5 * 2 * x^2 * y

25x^2 = 5 * 5 * x^2

Since 5x^2 is common to both factors, hence

10x^2y + 25x^2 = 5x^2 (2y + 5)

The equivalent expression to  10x^2y + 25x^2 is 5x^2 (2y + 5)

Learn more on factoring here: https://brainly.com/question/24734894

Answer:

Hanna

Step-by-step explanation:

In order to find out how fast Thomas has drove as compared to Hanma we have to compare the speed of each other,

Speed of Hanna = 50mph (as given in ur question)

Speed of Thomas

Since the unit of time of the distance traveled by Thomas is not same as that of Hanna we have to convert the minutes into hour,

Distance traveled = 12miles

Time taken = 15minutes

Speed = 12miles/15mim

Converting minutes into hours we have to multiply by a number whose product will be 60 and that will 4

that is 15 times 4 is 60. But to make the ratio equal

we have to multiply the distance too by 4.

= 12*4/15*4

=48 miles/60minutes

=48miles/1hour

=48mph

Comparing both speeds

Speed of Hanna compared to Speed of Thomas,

50mph > 48mph

Hence, Hanna has the faster speed.

Answer:

9

Step-by-step explanation:

let's assume ;

12=a

15=c

?=b

so;

a2+b2=c2

(12)2+b2=(15)2

144+b2=225

b2=225-144

b2=81 (square root both sides)

You'll get

b=9

NB; 2 is used as squared

Answer:

ITS 9

Step-by-step explanation:

Trust me i just finished the quiz (credit to dude on top)

Answer:

A or -4

Step-by-step explanation:

simplify to -1 || -10/3 || × 6/5

-1 × 10/3 × 6/5

-1 × 2 × 2

The most likely next step in the series is 5 rows with 4 dots in each row and 4 columns.

Option C is the correct answer.

A series of patterns is a sequence of recurring designs or motifs that follow a particular order or progression.

Patterns can be found in many different fields, such as mathematics, science, art, and literature.

We have,

From the series of patterns,

We see that,

In the first pattern, there are 3 rows with 2 dots in each row and 2 columns.

In the second pattern, there are 4 rows with 3 dots in each row and 3 columns.

This means,

In the third pattern, there must be 5 rows with 4 dots in each row and 4 columns.

Thus,

The most likely next step in the series is 5 rows with 4 dots in each row and 4 columns.

Learn more about series of patterns here:

https://brainly.com/question/29192844

#SPJ7

Answer:180in squared

Step-by-step explanation:

108 divided by 12 is 9, so 20*9= 180

Answer:

x = 5

Step-by-step explanation:

using the sine or cosine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 10 ( divide both sides by 2 )

x = 5

Answer:

i think is 25

Step-by-step explanation:

you dont have  no diagram but i think it 5x5=25

Answer:

33.3%

Step-by-step explanation:

$2 on nachos and $2 on candy will get you $4 spent on them both.

You then have a fraction (4/12)which is 1/3.

1/3=33.3%

Answer:c x=13

Step-by-step explanation:

straight line =180

180-50=130

7x+3x=10x

130/10=13

So the answer is x=13

Answer:

7.5 cups of sugar

Step-by-step explanation:

3 cups /12 cupcakes    *   30 cupcakes = 7.5 cups

Answer:

Step-by-step explanation:

All the other answers are wrong.

The points are reflected across the x-axis.

Here is why:

Correct choice is D.