Answer:
12 grams
Step-by-step explanation:
15/5 = 3 half lives
(1/2)³ = 1/8 of the original amount will remain
96 * 1/8 = 12 grams
Answer:
Step-by-step explanation:
Radioactive decay problems are very similar to compound interest formulas, except the rate is subtracted from one, instead of adding to one.
I.e.
mass at time t, m(t) = M (1 - r)^(t/h)
where
M = initial mass (grams)
m (t) mass left at time t (grams)
h = half-life in number of days
r = 0.5 from "half-life"
t = time lapse in number of days
Here
M = 96
h = 5
t = 15
m(15) = 96(1-0.5)^(15/5)
= 96 (1/2)^3
= 12 grams
How many quarters are there in 5 and 3/4
Answer:
23
Each 1 has 4 quarters
5*4=20
20+3
23
Step-by-step explanation:
bank reduces the interest rate from 12% p.a. to 10% p.a to expand its business. By how much is the yearly interest on Rs. 8,400 decreased?
Answer:
$168
Step-by-step explanation:
yearly interest = principal x time x interest rate
interest when interest rate is 12% = 8400 x 0.12 = 1008
interest when interest rate is 10% = 8400 x 0.1 = 840
decrease in interest rate = 1008 - 840 = 168
4 1⁄10 ÷ 1 1⁄2 plsss answerr now ..thankyou
Answer:
2 11/15
Step-by-step explanation:
Answer:
41/15
Step-by-step explanation:
[tex]4\frac{1}{10}[/tex] ÷[tex]1\frac{1}{2}[/tex]
first convert mixed fraction into or improper fractions.
=4*10+1/10 ÷ 1*2+1/2
=41/10 ÷ 3/2
convert division sign to multiplication and do the reciprocal.
=41/10 * 2/3
=41*2/10*3
=82/30
=41/15
13. You are going camping. The cost for renting a cabin at
Shady Knoll Campground at $65.00 plus $12.00 per person.
The cost in dollars is
I
C(n) = = 12n + 65, where n is the number of people.
Answer:
The function is correct, I just don't see a question.
Step-by-step explanation: 6 21 6 10
C(n) = 12n + 65
I will make up a question. How much will it cost 4 people each to rent the cabin?
C(n) = (12n + 65) / n n = 4
= (12 × 4 + 65) / 4
= (48 + 65) / 4
= 113 / 4
= $28.25
If your question is differnt just substitute the number of people into the question and solve for C(n)
Kiera and her brother, Desmond, are making trail mix to bring on their family's camping trip. Kiera uses 2 cups of raisins and 5 cups of nuts in her trail mix. Desmond uses 3 cups of raisins and 6 cups of nuts in his trail mix. Whose trail mix has a lower ratio of raisins to nuts?
Answer:
Kiera has a lower ratio of raisins to nuts. (2:5)
Step-by-step explanation:
To find this, you would have to make the number of nuts the same in each to accurately compare them.
It starts with Kiera's 2 cups of raisins and 5 cups of nuts. So it will be 2:5 (raisins first then nuts.)
Desmond will be 3:6 (have to make it the same order, raisins and then nuts.)
So I multiplied both the 2 and the 5 in 2:5 by 6 first.
Then multiply both the 3 and 6 in 3:6 by 5 to make the number of nuts the same in both.
So Kiera will have 12:30 and Desmond will have 15:30.
Then you can conclude that Kiera has the lower ratio.
Grace was cutting out paper snowflakes for the upcoming
school dance. It will take her 20 minutes to make the large
snowflake. It takes her 5 minutes to make each of the
smaller snowflakes. Grace only has 60 minutes to work on
snowflakes before she goes to soccer practice.
Write and solve an inequality that represents n, the
number of smaller snowflakes Grace will have time to
finish. Show your work algebraically.
Answer:
12 small snowflakes
Step-by-step explanation:
if she only has 60 minutes to make them and each small snowflake takes 5 minutes, then we solve with the equation:
n = 60/5
*edit: i forgot how to write an equality lol, that isn't the answer
Answer:
12 small snowflakes
Step-by-step explanation:
Because the math equals out to that
The penguins currently living on an island are of two types, Chinstrap penguins and Gentoo penguins. The range of the heights of the Chinstrap penguins on the island is 13.2 centimeters, and the range of the heights of the Gentoo penguins on the island is 15.4 centimeters.
Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the penguins on the island?
Indicate all such statements.
A The tallest Gentoo penguin on the island is 5.8 centimeters taller than the tallest Chinstrap penguin on the island.
B The median height of the Gentoo penguins on the island is 1.1 centimeters greater than the median height of the Chinstrap penguins on the island.
C The average (arithmetic mean) height of the Gentoo penguins on the island is 4.6 centimeters greater than the average height of the Chinstrap penguins on the island.
Answer:
The answer is "Option A"
Step-by-step explanation:
Using the range difference to calculate the maximum and minimum value.
The range of the chinstrap penguins are:
[tex]R(c) = Max(c) - Min(c) = 13.2[/tex]
The range of the Gentoo penguins are:
[tex]R(g) = Max(g) - Min(g) = 15.4[/tex]
For point A:
[tex]Max(c) = x\\\\Max(g) = x + 5.8\\\\R(c) = x - Min(c) = 13.2 \to x = 13.2 + Min(c)\\\\R(g) = x + 5.8 - Min(g) = 15.4 \to x = 9.6 + Min(g)[/tex]
equate both of them
[tex]13.2 + Min(c) = 9.6 + Min(g)Min(g) - Min(c) = 3.6[/tex]
It indicates that Min(c) surpasses Min(g), whereas Max(g) exceeds Max (c).
Therefore, the Max is picked for g for all penguins and the minimum is picked for c.
Range of all penguins [tex]= Max(g) - Min(c) = x + 5.8 - x + 13.2 = 19[/tex]
Therefore, it will be determined as the option.
For point B:
In estimating the range the median height cannot help.
For point C:
In order to calculate the variety, the connection between both the mean height cannot be sued.
Người ta dự định chuyển 78452 lít dầu từ kho A sang kho B Trong 4 ngày đầu mỗi ngày chuyển được 18214 lít dầu hỏi còn phải chuyển bao nhiêu lít dầu nữa
Answer:
5596 liters of oil still need to be transferred.
Step-by-step explanation:
Total oil = 78452 liters
oil transferred each day for 4 days = 18214 liters
The amount of oil transferred in 4 days = 4 x 18214 = 72856 liters
The mount of oil left in ware house A
= 78452 - 72856
= 5596 liters
Select the rule for each piece. Rule for piece 1: Rule for piece 2:
Answer:
Rule for piece 1: y=-x
Rule for piece 2: y=1
Rule for piece 3: y = 2-x
Step-by-step explanation:
Help,anyone can help me do quetion
Answer:
B1: x = 51
C1: x = 73, y = 34
Step-by-step explanation:
B1:
By exterior angle theorem:
x° + 54° = 105°
x° = 105° - 54°
x° = 51°
x = 51
C1
x° = 73°(Alternate angles)
x = 73
y° = 34° (corresponding angles)
y = 34
Please help I need the answer right
Answer:
B) 4 inches
Step-by-step explanation:
Since ABC is congruent to EFG then AB is congruent to EF, and BC is congruent to FG.
BC = 4 in
FG = 4 in
pls pls help due in 1hr
Answer:
5.2 =x
Step-by-step explanation:
We know the opposite side and the hypotenuse
sin theta = opp/ hypotenuse
sin 48 = x/7
7 sin 48 =x
5.202013778 =x
Rounding to 1 decimal place
5.2 =x
Which two angles below are supplementary
Answer:
41° and 139°
45° and 145°
Step-by-step explanation:
Supplementary angles refers to two angles which measures up to 180°.
Therefore, it is safe to say that, angle in supplementary angles = 180°
23° and 147°
= 23° + 147°
= 170°
Not supplementary
41° and 139°
= 41° + 139°
= 180°
Supplementary angle
30° and 60°
= 30° + 60°
= 90°
Not supplementary angle
45° and 145°
= 45° + 145°
= 180°
Supplementary angle
1) f(x) = 3x2+ 5x -2
a) Write an equation that can be used to find the zeros of the function.
b) What are the zeros of the function?
Write the number 10 000 000 as a power of 10.
Answer:
10⁷
Step-by-step explanation:
Just count the number of zero and raise the counted number of zero.
I really need help on this problem ASAP please and thank you
Answer:
Step-by-step explanation:
Al vender una refrigeradora, gané s/. 580. Si después de la venta gasté s/. 1 260 y me queda s/. 480, ¿Cuánto costó la refrigeradora?
Answer:
english plz
Step-by-step explanation:
Find the square root
[tex]\longrightarrow{\green{π=3.14}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \sqrt{ {\pi}^{2} } \\ \\ = \pi \\ \\ = \frac{22}{7} \\ \\ ( \: or \: ) \\ \\ = 3.14 \\ \\ (∵ \sqrt{( {a})^{2} } = a)[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
[tex]\pi = 3.14 \\ \\ \sqrt{\pi {}^{2} } \\ \sqrt{ {3.14}^{2} } \\ |3.14| \\ \\ = 3.14[/tex]
Final Answer: 3.14
Step By Step Explanation:
Simplify The root: Reduce the index of the radical and exponent with 2Calculate The Absolute Value: The absolute of any number is always positive.Alternate Forms:
157/503 7/50☆彡HannaWhat is the volume of the square pyramid? Enter in the box ___m^3
Answer:
V = 400 m^3
Step-by-step explanation:
The volume of a square pyramid is
V = 1/3 Bh where B is the area of the base and h is the height
B = 10 *10 = 50
V = 1/3 (100)* 12
V = 400 m^3
Question 16 of 36
Solve 16x+8>12x+20
A.x>7
B.x<3
C.x<7
D.x>3
Answer:
X>3 which is B
Step-by-step explanation:
Answer:
D. x > 3
Step-by-step explanation:
We have:
16x + 8 > 12x + 20
We have to make x be alone on one side.
So first, we subtract both sides by 8:
16x > 12x + 12
Subtract 12x from both sides:
4x > 12
Divide both sides by 4:
x > 3
HII GUYS DON'T WORRY I ONLY HAVE 3 MORE QUESTIONS LEFT I'M SO SORRY FOR BOTHERING YOU GUYS I'M SORRY THANK YOU FOR THE PEOPLE WHO HELP ME. <3
Answer:
Hello! answer: 96
Step-by-step explanation:
I will find the area of each face separately and add them up so... for the triangles those would both be 6. the rectangle on the bottom would be 28 and the rectangle standing up would be 21 now for the triangle on top that would be 35. now we would just add these up so...
6 + 6 + 28 + 21 + 35 = 96 Therefore the surface area is 96 Hope that helps!
Work out the area of the garden. HELP ASAP i’ll make u brainliest ♡︎
Answer: 120m2
Step-by-step explanation:8x11=88
19-11=8- length of triangle base. 1/2 base x height= 4x8=32
32+88=120m2
PLEASE PLEASE PLEASE HELP ME
EXPLAINING YOUR ANSWER WILL GIVE YOU BRAINLIEST
I REALLY NEED HELP AND ACCURATE ANSWERS
Answer:
the area of sector is
[tex] \frac{126}{360} \times \pi \times ( \frac{16}{2} ) {}^{2} = \frac{112}{5} \pi[/tex]
Answer:
Step-by-step explanation:
126/360 × pi× radius²= Area of the sector
What is the explicit formula for this sequence?
-7, -4, -1, 2, 5, …
Answer:
y = 3x -7?
Step-by-step explanation:
started from 7 and going infinite
Find the area of a regular Heptagon with a side length of 7?
Answer:
[tex]seven \: sides \\ area = (7 \times 7) \\ = 49 \: sq \: units[/tex]
Scott spent $54 on fruit at the grocery store. He spent a total of $60 at the store. What percentage of the total did he spend
on fruit?
Help !!!!
Answer:
I think it is 90%
Step-by-step explanation:
this is the case because 54/60 will be 9/10 if reduced
Please someone help me if you can't that is okay but please try I am extremely desperate
Answer:
A
Step-by-step explanation:
2x + x = 3x
y - 3y = 2y
PLEASE HELP ME ASAP PLEASE! I KEEP GETTING SPAMMED
EXPLANATION = BRAINLIEST
The area is 220 square yd.
The missing length is ___ yd
Given : Area of the parallelogram is 220 square yard
We know that :
⊕ Area of a parallelogram is given by : Base x Height
⇒ Base x Height = 220
Given : Height of the parallelogram = 11 yards
⇒ Base x 11 = 220
⇒ Base = 20 yards
⇒ Missing Length = 20 yards
check whether 7+3x is a factor of 3x^3+7x
Answer:
no
Step-by-step explanation:
refer to picture for solution
Evaluate: 4.5p + 8.2n when p=6 and n=5.
Answer:
68
Step-by-step explanation:
4.5p + 8.2n when p=6 and n=5
Subsitute for p and n
4.5(6) + 8.2(5)
Multiply
27 + 41
add
68