Element X decays radioactively with a half life of 6 minutes. If there are 140 grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 33 grams?
Answer:
28.6
Step-by-step explanation:
[tex]-13 =\dfrac r9+8−13= 9r +8[/tex]
Answer:
r = -189
Step-by-step explanation:
multiply both sides by 9 to get rid of the fraction.
-117=r+72
now subtract 72 from both sides.
-117-72=r
r = -189
Write a quadratic equation given the roots -1/3 and 5, show your work
[tex] \boxed{(x - a)(x - b) = 0}[/tex]
The equation above is the intercept form. Both a-term and b-term are the roots of equation.
[tex]x = - \frac{1}{3} \\ x = 5[/tex]
These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.
[tex](x + \frac{1}{3} )(x - 5) = 0[/tex]
Here we can convert the expression x+1/3 to this.
[tex]x + \frac{1}{3} = 0 \\ 3x + 1 = 0[/tex]
Rewrite the equation.
[tex](3x + 1)(x - 5) = 0[/tex]
Simplify by multiplying both expressions.
[tex]3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0[/tex]
Answer Check
Substitute the given roots in the equation.
[tex]3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0[/tex]
[tex]3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0[/tex]
The equation is true for both roots.
Answer
[tex] \large \boxed {3 {x}^{2} - 14x - 5 = 0}[/tex]
PLEASE ANSWER! 15 POINTS AND WILL MARK AS BRAINLIEST!
the answer would be 8cm
Determine the x-intercepts.
y=-xpower of 2- 2x+3
Helppp!!! ASAP
Answer:
4/2
Step-by-step explanation:
PLZ HELP THANK YOU!!!
Which of the following shows the solution to m+5 >-1
Answer:
The fourth once
Step-by-step explanation:
Which describes the slope of this line?
positive slope
negative slope
zero slope
undefined slope
Answer:
negative
Step-by-step explanation:
its going down
Which expression is equivalent to 7(b+2)?
Answer:
the answer is in the attachment
Step-by-step explanation:
PleAsE helppppppppppppppppp
Pls need answer ASAP
Answer:
8x +6 is the expression.....
when x=5
8(5) + 6 = 46
Step-by-step explanation:
hope this helps :3
Alice leaves her house and walks to school. If she walks 45 meters south and 336 meters east, then Alice is _ meters from her house
3) Sally is twice as old as Jane. The sum of their ages is 54. Find their ages.
Answer:i think its 56 for sally
Step-by-step explanation:
Answer: 108 or 162
Step-by-step explanation:
The estimated world population in the year 1650 was 550,000,000. The estimated
world population in 1750 was 725,000,000. By how many people did the world's
population increase between 1650 and 1750?
Answer:
175,000,000
Step-by-step explanation:
you subtract 550,000,000 from 725,000,000
Solve for x please I’m confused
Answer:
1. x = 12 2. x = 5.6 the 6 is repeating
Step-by-step explanation:
Find the least counting number which when divided by 5 gives the remainder of 1 and when divided by 12 gives us the remainder of 3
Answer:
51
Step-by-step explanation:
Let x be the number
When x divided by 5 then it gives remainder 1 and when divided by 12 gives remainder 3.
We have to the value of x.
Using Euclid's algorithm
[tex]a=bq+r[/tex]
Where [tex]0\leq r<b[/tex]
[tex]x=5q+1[/tex]
[tex]x=12p+3[/tex]
[tex]5q+1=12p+3[/tex]
[tex]5q-12p=3-1[/tex]
[tex]5q-12p=2[/tex]...(1)
When q=10 and p=4
Then,
[tex]5(10)-12(4)=50-48=2[/tex]
q=10 and p=4 satisfied the equation (1)
Substitute q=10
[tex]x=5(10)+1=51[/tex]
Hence,51 is the least counting number which when divided by 5 gives the remainder of 1 and when divided by 12 gives us the remainder of 3.
Write out the first six multiple of 3 and 5 in separate lists
The lowest common multiple (LCM) is the smallest number which appears in both lists
What is the lowest common multiple (LCM) of 3 and 5
Container A is cylinder with a radius of 10 units and a height of 10 units. A right cone has been carved from its base and has a height of 10 units. Container B has the same radius as container A. Which statement derives the formula to find the volume of container A?
container A is a right cylinder that has had a right cone subtracted from its base, container B is half of a sphere
1 over 3π(102)(10) − π (102)(10)
2[1 over 3π(102)(10) − π(102)(10)]
π(102)(10) − 1 over 3π(102)(10)
2[π(102)(10) − 1 over 3π(102)(10)]
Answer: π(10^2)(10) − 1/3π(10^2)(10)
Step-by-step explanation:
Container A is a cylinder so the equation is π(r^2)(h)
Container B is a right cone so that equation is 1/3π(r^2)(h)
You would plug in the numbers and then subtract A from B
The formula to find volume of cylinder of container A is πr²h - 1/3π²h.
Thus Option (c) is correct
What is volume cylinder?The volume of cylinder is "the density of the cylinder which signifies the amount of material the cylinder can carry".
According to the question,
Container A is "cylinder with a cylinder of radius of 10 units and has height is 10 units. Container B is cylinder with a cylinder of radius of 10 units and has height is 10 units. A right cone has base and has a height 10 units.
In order to find volume of container A only if subtract volume of cone from volume of cylinder
Formula for volume of cylinder = πr²h
Formula for volume of cone = 1/3π²h
Formula for volume of container A = πr²h - 1/3π²h
Hence, the formula to find volume of cylinder of container A is πr²h - 1/3π²h. Thus, Option (c) is correct
Learn more about the volume of cylinder here
https://brainly.com/question/21324189
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Mr. Bruin purchased 46 gallons of water
for the team. The team drinks exactly
5 gallons per day. For how many days
will the team have the full amount of
water to drink?
Answer:
46÷5=9.2
so the answer is 9 days
Step-by-step explanation:
Answer:
9 full days.
Step-by-step explanation:
46/5=9.2
Since it says the full amount, you can round down and get to a total of 9 days.
solve for x
3x+5=10
please show how you got the answer
Answer:
x = 5/3
10 - 5 = 5
3x = 5
x = 5/3 or 1 2/3
Q 1.
Find the HCF of 58 and 70 using the
division method.
Answer:
Find the prime factorization of 58. 58 = 2 × 29.
Find the prime factorization of 70. 70 = 2 × 5 × 7.
To find the GCF, multiply all the prime factors common to both numbers: Therefore, GCF = 2
Step-by-step explanation:
Please help me :))!!!! it’s pass due lolololol
If there are 40 boys and 32 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Answer:
5:4 is one ratio you can use for solving 5 being boys and 4 being girls
Step-by-step explanation:
Help please I'm marking brainiest
Answer and explanation:
1. 9:12 or [tex]\frac{9}{12}[/tex] or 9 to 12
It has 9 first because there are 9 lions and then 12 after because there are 12 elephants.
2. 8:16 or [tex]\frac{8}{16}[/tex] or 8 to 16
It has 8 first because there are 8 giraffes and then 16 after because there are 16 otters.
3. 9:10 or [tex]\frac{9}{10}[/tex] or 9 to 10
It has 9 first because there are 9 lions and then 10 after because there are 10 seals.
4. 10:12 or [tex]\frac{10}{12}[/tex] or 10 to 12
It has 10 first because there are 10 seals and then 12 after because there are 12 elephants.
5. 12:9 or [tex]\frac{12}{9}[/tex] or 12 to 9
It has 12 first because there are 10 elephants and then 9 after because there are 9 lions.
6. [tex]\frac{8}{6}[/tex] or [tex]\frac{40}{30}[/tex] or [tex]\frac{16}{12}[/tex]
I just multiplied it first the first one by 2, second one by 10, and 3rd one by 4.
7. [tex]\frac{6}{7}[/tex] or [tex]\frac{42}{49}[/tex] or [tex]\frac{60}{70}[/tex]
I just simplified it first, then I multiplied the simplified one by 6 for the second one, and for the 3rd one I multiplied the simplified by 10.
8. [tex]\frac{2}{3}[/tex] or [tex]\frac{4}{6}[/tex] or [tex]\frac{20}{30}[/tex]
I just simplified it first, then I multiplied the simplified one by 2 for the second one, and for the 3rd one I multiplied the simplified by 10.
9. 3:4 is equivalent to 6:8, 30:40, 12:16
I multiplied it first by 2, then by 10, then by 4.
10. 5:7 is equivalent to 10:14, 50:70, 25:35
I multiplied it first by 2, then by 10, then by 5.
11. 9:2 is equivalent to 18:4, 90:20, 27:6
I multiplied it first by 2, then by 10, then by 3.
12.
a. 48
So first, the ratio we know is 5:4 which in other words is 5x:4x. We also know that there are 60 clownfish. So that means 5x = 60 --> x = 12. So then 4x has to equals 12 x 4 which is 48.
b. 36
So first, the ratio we know is 4:3 which in other words is 4x:3x. We also know that there are 48 angelfish. So that means 4x = 48 --> x = 12. So then 3x has to equals 12 x 3 which is 36.
Hope this helped! <3
what is the value of y in the equation if x = 5
=》2x + 6y = 22
Step-by-step explanation:
We have 2x + 6y = 22.
When x = 5,
=> 2(5) + 6y = 22
=> 10 + 6y = 22
=> 6y = 12
=> y = 2.
Hence y = 2 when x = 5.
1.
x + y = 2
x - y = 4
Please help
Answer:
Step-by-step explanation:
please help me on this will give you brainliest
Help!will give brainliest!
Answer:
B, D, E
Step-by-step explanation:
Anything greater than -5 is in the domain.
Elsie purchased 2 boxes of party invitations for $6.83 each. She mailed 23 party invitations to her friends and relatives. The cost to mail each invitation was $0.48. What was the total cost, in dollars and cents, for the invitations and the cost to mail them?
Answer:
24.7
Step-by-step explanation:
To rent a certain meeting room, a college charges a reservation fee of $38 and an additional fee of $7.40 per hour. The history club wants to spend less then $75.00 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t.
Answer:
the anwser is 55 easy hope this helps;)
Step-by-step explanation:
