The half life of a radioactive substance is 10 years. If 64 grams are placed in a
container, how much will remain after 50 years?
Answer:
2 grams
Step-by-step explanation:
50 years is 5 half lives as 1 half life is 10 years.
64 divide 2 = 32-1 half life
32 divide 2 =16-2nd half life
16 divide 2 = 8-3rd half life
8 divide 2 = 4-4th half life
4 divide 2 = 2-5th half life
This means we will have 2 grams left of the radioactive substance after 50 years.
Boris has 10 pairs of jeans, 15 T-shirts, and 7 sweaters in his closet. Write the ratio of sweaters to pairs of jeans using a colon.
Brainliest to a person who gets it right.
Answer: 7:10
Step-by-step explanation: You are asked to find the ratio of sweaters to pairs of jeans. All you do is write the 7 sweaters and the 10 pairs of jeans. And you get a ratio of 7:10. Since this cannot be reduced any further, you just leave it as it is.
Hope this helps.
determine whether Δ def to Δ HIG is a reflection, translation, rotation, or glide reflection
what are the reflection line, translation rule. center and angle or rotation or glide translation rule and reflection line?
A. Rotation, 180°, about ( -0.5, 0)
B. glide reflection, translate 8 units to the right then reflect across the line y=4
C. Reflection, x=5
D. Rotation, 180, about (1,4)
20 Points
1943 divided by 67.Show steps please.
Answer: Long Division Calculator with Decimals
look this up see if it helps
Step-by-step explanation:
Two triangles are shown on the coordinate plane. Which statement regarding the triangles is correct? A. The area of the small triangle is half the area of the large triangle. B. The area of the small triangle is twice the area of the large triangle. C. The slope of one hypotenuse is equal to the opposite reciprocal of the other. D. The slopes of the two hypotenuses are equal.
Answer:
B
Step-by-step explanation:
B
The formula to find the area of a triangle is A = { bh where b=base and h=height. Rearrange the
equation to highlight b, the base of the triangle, in terms of the area and height.
Answer:
A=B+H
Step-by-step explanation:
I rearange the letters and also I put a plus singe
What is the volume of 4 19 31 10 62
Answer: 1460720
To find volume just multiply them all-
4*19*31*10*62
1460720 ( i am not sure if those are the numbers you meant)
What is the measure of the angle in the polygon shown below?A.B.C.D.
C.130°
Answer:
Solution given:
no of sides(n)=6
now
total interior angle of polygon having 6 sides is
(n-2)*180=(6-2)*180=4*180=720°
we have
Sum of interior angle of polygon: 720°
130°+100°+130°+130°+100°+?=720°
590°+?=720°
?=720°-590°
?=130°
Which system of equations is equivalent to the following system? 3x 5y = 29 x 4y = 16 3x 5y = 29 â’x â’ 4y = 16 3x 5y = 29 â’3x â’ 12y = â’48 â’3x â’ 5y = 29 x 4y = 16 â’9x â’ 15y = 87 x 4y = 16.
The correct option is (B). [tex]3x+5y=29[/tex] And [tex]-3x-12y=-48[/tex].
Given Equations,
[tex]3x + 5y = 29......(1)[/tex]
[tex]x + 4y = 16.......(2)[/tex]
We have to find out Which system of equations is equivalent to the Given system of Equations.
1). System of equation are,
[tex]3x+5y=29\\-x-4y=16[/tex]
taking - common and transposing to R.H.S we get,
[tex]x+4y=-16[/tex]
This equation is not equal to equal (2), so the option (1) is not the system of equation equivalent to given Equations.
Similarly, on checking other options,
2. system of equation,
[tex]3x+5y=29\\-3x-12y=-48[/tex]
Taking -3 common from L.H.S. we get,
[tex]-3(x+4y)=-48\\\\x+4y=\dfrac{-48}{-3}[/tex]
[tex]x+4y=16[/tex].
Hence the Above system of equation is equivalent to the given system of equation.
So, there is no need to check option (3) and option (4).
Hence the correct option is (B).
For more details on Equations follow the link:
https://brainly.com/question/11897796
What forms of the following equation in?
y=5x−3
PLEASE HELP! WILL MARK BRAINLIEST!!!
AnswerAnswers in explaination
Step-by-step explanation
PART A ANSWER: equation 1) y=1155x+982 and 2) y+100x+1000 both have x model the number of years and y model the investment they made.
PART B answer: The two equations I solved for above
Part C: if she goes with the first plan and invest for 20 years she'll get 24082 dollars and if she invest in the second one she'll get 3000 dollars. As you can see there is a huge difference between the two
will mark brainliest (NO LINKS OR ANSWERS WITHOUT EXPLANATION)
Answer:
6x² -xy -35y²
Step-by-step explanation:
Use the distributive property, and combine terms.
(2x +5y)(3x -7y) -2xy
= 2x(3x -7y) +5y(3x -7y) -2xy
= 6x² -14xy +15xy -35y² -2xy
= 6x² +(-14 +15 -2)xy -35y²
= 6x² -xy -35y²
two expressions that are equivalent to 5.75 ÷ 1.15.
Answer:
i think the answe is A and B hope this helps
Step-by-step explanation:
Have a nice day!
Answer:
5.75 / 1.15 = 5
5 is an answer.
10/2 is also an answer.
25/5 is also also an answer.
100/20 is also also also an answer.
1/3 + 1/2 + 4/5 jdnjfnawbfaibgfiabfwhbruwbrfywhfywg8eyfhwa8uofhawufhaw
Answer: 49/30 or, 1 19/30
Someone please help me on both the questions!!!
Step-by-step explanation:
al nth term:
numerator:
[tex] = {n}^{2} [/tex]
denominator:
[tex] = n + 1[/tex]
so nth term :
[tex] = \frac{ {n}^{2} }{n + 1} [/tex]
b). 1; 11; 27; 49
first difference: 10; 16; 22
second difference :6
formula for 1st difference:3a+b
formula for 2nd difference:2a
Therefore:
2a=6
a=3
3a+b=10
sub in a
3(3)+b=10
9+b=10
b=1
sub into quadratic formula
[tex] {an}^{2} + bn + c[/tex]
[tex](3) {(1)}^{2} + (1)(1) + c = 1[/tex]
[tex]3(1) + 1 + c = 1[/tex]
[tex]3 + 1 + c = 1[/tex]
[tex]4 + c = 1[/tex]
[tex]c = - 3[/tex]
So Tn:
[tex]3 {n }^{2} + 1n - 3[/tex]
Step-by-step explanation:
a)
it is clearly a sequence of the square numbers over the numbers+1.
1/2 = 1²/(1+1)
4/3 = 2²/(2+1)
9/4 = 3²/(3+1)
16/5 = 4²/(4+1)
so, the nth term would be
n²/(n+1)
b)
an² + bn + c creates the sequence with increasing n (n = 1, 2, 3, 4, ...)
since for sequence the first starting value is often not generated by the general expression, we have to focus on n = 2, n = 3 and n = 4, and with that we get 3 equations with 3 variables (a, b, c) that we can solve :
n = 2
a×2² + b×2 + c = 11 = 4a + 2b + c
n = 3
a×3² + b×3 + c = 27 = 9a + 3b + c
n = 4
a×4² + b×4 + c = 49 = 16a + 4b + c
the first equation gives us
c = 11 - 4a - 2b
when we use this in the second equation, we get
27 = 9a + 3b + 11 - 4a - 2b = 5a + b + 11
b = 16 - 5a
now we use both of that in the third equation :
49 = 16a +4(16 - 5a) + 11 - 4a - 2(16 - 5a) =
= 16a + 64 - 20a + 11 - 4a - 32 + 10a =
= 2a + 43
2a = 6
a = 3
b = 16 - 5a = 16 - 5×3 = 16 - 15 = 1
c = 11 - 4a - 2b = 11 - 4×3 - 2×1 = 11 - 12 - 2 = -3
Simplify. √25a^2.
40 points but reported if troll.
I need help with this
Answer:
some points that I found!
(0,-2), (-3,0), (-6, 2), keep it going from there, and then shade above the line
write the equation of the line that is parallel to y=4x+12 through the point (2,3).
Answer:
y = 4x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 4x + 12 ← is in slope- intercept form
with slope m = 4
Parallel lines have equal slopes , then
y = 4x + c ← is the partial equation
To find c substitute (2, 3 ) into the partial equation
3 = 8 + c ⇒ c = 3 - 8 = - 5
y = 4x - 5 ← equation of parallel line
please help with question 3
Answer:
p = - [tex]\frac{2}{3}[/tex] , p = 2
Step-by-step explanation:
Using the discriminant to solve for p
Δ = b² - 4ac
The condition on the discriminant for 2 eeal and equal roots is
b² - 4ac = 0
Given
p²x² - (p + 2)x + 1 = 0
with a = p² , b = - (p + 2) , c = 1 , then
(- (p + 2) )² - 4p² = 0
(p + 2)² - 4p² = 0
p² + 4p + 4 - 4p² = 0
- 3p² + 4p + 4 = 0 ( multiply through by - 1 )
3p² - 4p - 4 = 0 ← in standard form
(3p + 2)(p - 2) = 0 ← in factored form
Equate each factor to zero and solve for p
3p + 2 = 0 ⇒ 3p = - 2 ⇒ p = - [tex]\frac{2}{3}[/tex]
p - 2 = 0 ⇒ p = 2
Express the shaded portion of each box using fractions. Which box has a higher fraction
of its boxes shaded?
Answer:
A
Step-by-step explanation:
A has 11 boxes shaded in, whereas B only has 10. so A has more
how do you find the ratio of something
Answer:
To calculate the ratio of an amount we divide the amount by the total number of parts in the ratio and then multiply this answer by the original ratio. We want to work out $20 shared in the ratio of 1:3. Step 1 is to work out the total number of parts in the ratio. 1 + 3 = 4, so the ratio 1:3 contains 4 parts in total.
Step-by-step explanation:
Step-by-step explanation:
hope it will help you a lot.......
Consider the following sequence and type the next number in the sequence.
55, 48, 41,34
Answer:
27 20 13
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
It follows a pattern of -7 every time.
55,(-7) 48,(-7) 41, (-7)34
55-7=48
48-7=41
41-7=34
34-7=27
Hope this helps! Have a great day!
Help me!!! due in 2 mins!!!
Simplify??!?!?????!!!! ;). Pleeeeaaaassseee
A square is cut diagonally into two equal parts. If each part has an area of 50cm^2, then what is the perimeter of each part?
50 points the answer isnt 30 so dont say it is because it isnt
Answer:
its 25.
Step-by-step explanation:because 50 divided by 2 is 25.
Answer:
40 units
Step-by-step explanation:
1) Find the side length of the square
Let the side be "s".
[tex]\rightarrow \frac{1}{2} \times s \times s = 50 \ \text{cm}^{2}[/tex]
[tex]\rightarrow s \times s = 50 \times 2[/tex]
[tex]\rightarrow s \times s = 100[/tex]
[tex]\rightarrow \sqrt{s \times s} = \sqrt{100}[/tex]
[tex]\rightarrow s = \±10[/tex]
[tex]\rightarrow s = 10 \ \text{units}[/tex] (Side lengths can never be negative)
2) Find the perimeter of the square
[tex]\text{Perimeter of square = 4(s) = 4(10) = 40 units}[/tex]
Please help me, you can see the parabola down below. Please.
Determine the equation of the parabola in Vertex Form. Work must be shown.
Answer:
let me check....
Step-by-step explanation:
Factor the expression using the GCF. (algebraic expressions, just dont subtract 18-12=6 its incorrect. please answer asap!!!! )
18 - 12 = ?
A hot air balloon went from an elevation of 4,060 feet to an elevation of 3,120 feet in 40 minutes. What was its rate of descent?
Answer:
23.5 feet per minute is the rate
a 16 ounce package of hamburger meat has 3% fat how much of the total package is fat
Multiply the total weight by the percentage
16 ounces x 0.03 = 0.48
0.48 ounces is fat
Please help me with this question :)
I will mark you as brainliest
[tex]\text{Given that,}\\\\s_1 = 5.95,\\\\s_2 = 5.42\\\\\\F= \dfrac{(s_1)^2}{(s_2)^2} = \dfrac{(5.95)^2}{(5.42)^2} = 1.21[/tex]
Find the values of m and c if the straight line y=mx+c passes through the point (-2,5) and has a gradient of 4.
(2,5) and (4,13)
y - y1 = y2 - y1
x - x1 x2 - x1
y - 5 = 13 - 5 = 8/2 = 4 x - 2 4 - 2
y - 5 = 4x - 8
y = 4x - 3
m = 4, c = -3