Answer:
At time, 10 seconds, the mass remaining is 24 grams
At time, 20 seconds, the mass remaining is 12 grams
At time, 30 seconds, the mass remaining is 6 grams
At time, 40 seconds, the mass remaining is 3 grams
At time, 50 seconds, the mass remaining is 1.5 grams
Step-by-step explanation:
Given;
initial mass of the radioactive element = 48 grams
half life, t = 10 seconds
time of decay (s) remaining mass of the radioactive element
0 ------------------------------------------------- 48 grams
10------------------------------------------------- 24 grams
20 ------------------------------------------------- 12 grams
30 -------------------------------------------------- 6 grams
40 --------------------------------------------------- 3 grams
50 ----------------------------------------------------- 1.5 grams
60------------------------------------------------------0.75 grams
Thus;
At time, 10 seconds, the mass remaining is 24 grams
At time, 20 seconds, the mass remaining is 12 grams
At time, 30 seconds, the mass remaining is 6 grams
At time, 40 seconds, the mass remaining is 3 grams
At time, 50 seconds, the mass remaining is 1.5 grams
Marshall can buy 5 T-shirts for $55.
If each shirt costs the same amount, what is the cost of 3 T-shirts?
The cost of 3 T-shirts is $
.
Answer:
$33
Step-by-step explanation:
55 divided by 5 is 11, so each shirt costs $11. So that means 3 shirts would be $33.
Answer:
$33
Step-by-step explanation:
$33 because 55 dollars divided by 5 shirts is 11 dollars so multiply 11 by 3 and the answer is $33
The equation of a line is y = 2/3x + 5. What is an equation of the line that is perpendicular to the given line and that passes through the point (4, 2)?
Step-by-step explanation:
line that is perpendicular to the given line :
y = 2/3x + 5
m1 × m2 = -1
m1 = the coefficient of x
m1 = 2/3
remember : m1 × m2 = -1
2/3 x m2 = -1
2m2 ÷ 3 = -1
(let m2 = x)
2x ÷ 3 = -1
(cross multiply)
2x = 3 × -1
2x = -3
(divide both sides by the coefficient of x)
x = -3/2
Remember : m2 =x
m2 = -3/2
The line that passes through the point (4,2) ;
( note : x¹ = 4 , y¹ = 2)
m = (y - y1) ÷ (x - x1 )
-3/2 = (y - 2) ÷ (x - 4)
(cross multiply)
-3(x - 4) = 2 (y - 2)
-3x +12 = 2y - 4
(make y the subject of formula )
-3x + 12+ 4 = 2y
-3x + 16 = 2y
(
(divide through by the coefficient of y)
-3x/ 2 + 16/2 = y
-3/2x + 8 = y
HOPE IT WAS HELPFUL
The exchange rate for 1 dollar is 1.3021 euros
Answer:
889.021796 (or simplifyed, 889.02)
Step-by-step explanation:
1 USD = 1.3021 EU
so what we do here is multiply 1.3021 and 682.76
1.3021 x 682.76 = 889.021796
What is the slope of the line graphed on the coordinate plane?
A graph with a line running through coordinates (-6, -1) and coordinates (6, 2)
Enter your answer in the box.
Answer:
[tex]m=\frac{1}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-6, -1)
Point (6, 2)
Step 2: Find slope m
Substitute: [tex]m=\frac{2+1}{6+6}[/tex]Add: [tex]m=\frac{3}{12}[/tex]Simplify: [tex]m=\frac{1}{4}[/tex]Answer:
-1/12
Step-by-step explanation:
I Hope it help you!
>-<
Which of the following is the slope of the line passing through each pair of points?
Point 1: (7,-4)
Point 2: (4,8)
Answer:
- 4
Step-by-step explanation:
Formula of slope:
m = ( [tex]y_{2}[/tex] - [tex]y_{1}[/tex] ) / ( [tex]x_{2}[/tex] - [tex]x_{1}[/tex] )
m = [8 - ( - 4)] / (4 - 7) = (8 + 4) / ( - 3) = - 4
Find AB, BC, and AC
The length of line segment AC is 8x-9. Use the figure above to find the value of x Show
your work.
Find the slope of the line contains P1 and P2
Interpret this slope
P1=(-1,3 and p2 =(5,-1)
Answer:
[tex]m = -\frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]P_1 = (-1,3)[/tex]
[tex]P_2 = (5,-1)[/tex]
Required
Determine and interpret slope
Slope is calculated using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (-1,3)[/tex]
[tex](x_2,y_2) = (5,-1)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{-1 - 3}{5 - (-1)}[/tex]
[tex]m = \frac{-1 - 3}{5 +1}[/tex]
[tex]m = \frac{-4}{6}[/tex]
[tex]m = -\frac{2}{3}[/tex]
The above slope is negative and it implies that x increases when y decreases and vice versa.
Which statement about rational numbers is true?
All rational numbers are fractions.
Rational numbers never have repeating decimals.
Some integers are not rational numbers.
All fractions containing integers are rational numbers
Answer:
All fractions contain integers and rational numbers
have a nice day
Answer:
rational numbers never have repeating decimals
Step-by-step explanation:
Repeating decimals are irrational numbers.
Find the volume of figure B. Round your answer to two decimal places.
Answer:
I wanna say 60, I just doubled 30
30 x 2 = 60m. Could be wrong.
determine the slopes below.
Learning Task 3: Solve the following. Problems. Write your answer in
your notebook
Every Sunday, JB carries water for fish vendors at 22.30 per pan. How
many pails of water did he carry if he earned 382.50 on a Sunday?
2. Rey has 21.25 kes of coffee. He wants to put 0.25 kg of coffee per bag,
How many bags does he need?
Geen has 4 times as much money as her sister. If Gwen has P 604.80.
how much money does her sister have?
4. 4. Joy is planning to buy a new cellphone worth P 14 552.75. She tries
to save P 582.11 a week from her allowance. How many weeks will it
take her to save the amount enough to buy the cellphone?
5. Yesterday, Sallie took a trip to visit some family. She covered a total of
135.75 miles without making any stops along the way, and it took her
exactly 1.25 hours to arrive at her destination. At what average speed
did she arrive?
What is the equation for (-3,-14) and (0,-9)
What is the value of the expression 14.72 ÷ 3.2
Answer:
Your answer =
4.6
Step-by-step explanation:
Hope it helps
Answer:
4.6
Step-by-step explanation:
my reason is because the other person was right PLEASE GIVE THEM BRAINLIEST
Find the small positive integer solution that solves the equation. if there is no solution, type NONE.
(8x)(mod 13)≡4
x=?
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
The equation can be rewritten to ...
8x = 13n +4 . . . . for some integers x and n
x = (13n +4)/8
For x to be an integer, 13n must be an odd multiple of 4. Since 13 is an odd number, n=4 will do.
x = (13·4 +4)/8 = 56/8
x = 7
__
The graph shows a "trial and error" method of solution. Only values of x less than 13 need to be examined.
Serious explination on this one with the answer guys? First to answer gets brainliest!
Answer:
the answer is -5x + -8x-5/2x^2-3
Step-by-step explanation:
:)
emilio is tiling a countertop with square tiles. Each tile covers 64 square inches. THe total area of the countertop is 5,184 square inches. What is the minimum number of tiles Emilio will need to tile the entire countertop. Use explanation or reported
2dogs/3cats and 10dogs/15cats are an example of
Answer:
2 dogs/ 3 cats and 10 dogs/ 15 cats are an example of
Equivalent ratios.
HELP PLEASE!! i’m giving 15 points for this!!
Answer:The picture did not load
Step-by-step explanation:Sorry
Eliza volunteers at a nearby aquarium where she tracks the migratory patterns of humpback whales from their feeding grounds to their breeding grounds. She recorded the distance traveled by the whales each day for a 7-day period at the start of their migration. Based on Eliza's data, about how long will it take the humpback whales to travel the 3,100 miles to their breeding grounds?
Answer:
Step-by-step explanation:
This is a very confusing, or otherwise incomplete question. The data Eliza recorded from her study at the aquarium is not given, and thus we wouldn't be able to peg a number as the time it took to travel 3100 miles by the whales.
There are lots of date missing, the total number of whales the distance each whale traveled and even, how long each traveled. These missing has essentially rendered the question unsolvable
A stack of 500 pieces of paper is 1.875 inches tall. Compute the thickness of each piece of paper. (Enter your numerical answer only. Do not include units.
Answer:
0.00375
Step-by-step explanation:
1.875/500
pls help i’ll mark you brainliest
Answer:
90°
Step-by-step explanation:
please mark brainliest :))
Answer:
90
Step-by-step explanation:
You are right, it's 90
IF UR GOOD IN GEOMETRY THIS QUESTION IS FOR YOU !! PLEASE HELP I SUCK AT MATH !
Answer:
(2,3 is dilated to 8,12 by a scale factor of 4)
Step-by-step explanation:
multiply 2,3 by numbers until it gets to 8,12, once you multiply by 4 you get 8,12 which means the answer is a scale factor of 4
anybody know the answer?
ive been stuck on this math question foreverrrrrr theres no context they just want a explanation of the answer
Answer:
count the colors
Step-by-step explanation:
count the green, then the red, then the blue
Simplify: X^-3/x^0
(Trying to get more characters)
Answer:
1 / x^3
I don't know what you mean by trying to get more characters by the way sorry.
Step-by-step explanation:
Exponents rule will change X^-3 / x^0 to x^-3-0
Subtract the exponents to get x^-3
Since exponents cannot be negative, the answer will be changed to a fraction 1/x^3.
What is the equation of a hyperbola with a = 5 and c = 15? Assume that the transverse axis is horizontal.
Answer:
[tex]\frac{x^2}{25} -\frac{y^2}{200} =1[/tex]
Step-by-step explanation:
Recall that the equation of hyperbola centered at the origin with transverse horizontal axis has the general form:
[tex]\frac{x^2}{a^2} -\frac{y^2}{b^2} =1\\and\,\,\,\, with\\c=\sqrt{a^2+b^2}[/tex]
since we know that a = 5 ,and c = 15,we can solve for b:
[tex]15=\sqrt{5^2+b^2} \\15^2=25+b^2\\b^2=200\\[/tex]
then the equation of the hyperbola becomes:
[tex]\frac{x^2}{5^2} -\frac{y^2}{200} =1\\\frac{x^2}{25} -\frac{y^2}{200} =1[/tex]
2. Mr. Cautious has $10 in his wallet and decides to walk dogs for his neighbors to earn more money. He
charges $4 to walk each dog around the block. How many dogs will Mr. Cautious need to walk to have 130$ in his wallet?
Answer:
34
Step-by-step explanation:
What is 12% of 1350?
Answer:
162
Step-by-step explanation:
f(x)=−10x2−x and g(x)=−2x2−x, find (f−g)(x) and (f−g)(−2)
Answer:
(f - g)(x) = -8x²
(f - g)(2) = -32
General Formulas and Concepts:
Algebra I
Combining like termsStep-by-step explanation:
Step 1: Define
f(x) = -10x² - x
g(x0 = -2x² - x
(f - g)(x) is f(x) - g(x)
(f - g)(2) is f(2) - g(2)
Step 2: Find (f - g)(x)
Substitute: (f - g)(x) = -10x² - x - (-2x² - x)Distribute -1: (f - g)(x) = -10x² - x + 2x² + xCombine like terms: (f - g)(x) = -8x²Step 3: Evaluate
Substitute: (f - g)(2) = -8(-2)²Evaluate: (f - g)(2) = -8(4)Multiply: (f - g)(2) = -32And we have our answers!
Please Help me I only have 10 points!!!!!!!!!!!!!
answer this question......
Answer:
its the 3rd answer
Step-by-step explanation:
Given △XPS≅△DNF, find the values of x and y.
Answer:
x = 3
y = 15
Step-by-step explanation:
If △XPS ≅△DNF, their corresponding sides would be congruent. This implies that:
XP ≅ DN
PS ≅ NF
XS ≅ DF
Given that:
XP = 4y - 3
DN = 57
NF = 51
XS = 17x + 3
DF = 54
Therefore:
XP = DN
4y - 3 = 57 (Substitution)
Add 3 to both sides
4y = 57 + 3
4y = 60
Divide both sides by 4
y = 60/4
y = 15
Also,
XS = DF
17x + 3 = 54 (substitution)
Subtract 3 from each side
17x = 54 - 3
17x = 51
Divide both sides by 17
x = 51/17
x = 3