Answer:
1/64
Step-by-step explanation:
20 years = 1/2
40 years = 1/4
60 years = 1/8
80 years = 1/16
100 years = 1/32
120 years = 1/64
The fraction will remain in 120 years will be 1/64
What is half life?the time required for half of something to undergo a process, such as, the time required for half of the atoms of a radioactive substance to become disintegrated.
Given that, the half-life of a radioactive substance is 20 years
Therefore,
20 years = 1/2
40 years = 1/4
60 years = 1/8
80 years = 1/16
100 years = 1/32
120 years = 1/64
Hence, the fraction will remain in 120 years will be 1/64
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What is the slope of the line that contains the points in the table?
X
4
-1
2
8
Y
-9
-9.75
-10.5
-12
Answer:
y= 8xY+b-41.25x
Step-by-step explanation:
using the general equation, f(x)=[x/1.50] how many songs can be purchased with a $35 gift card?
Answer:
23
Step-by-step explanation:
[tex] \because \: f(x) = \bigg [ \frac{x}{1.50} \bigg] \\ \\ \therefore \: f(35) = \bigg [ \frac{35}{1.50} \bigg] \\ \\ \therefore \: f(35) =23.33 \\ \\ \therefore \: f(35) \approx 23 \\ [/tex]
Hence, 23 songs can be purchased with a $35 gift card.
Help ASAP I need this one answered please please please
Answer:
Yes
Step-by-step explanation:
For 2 figures to be similar, the ratio of their corresponding must be the same, as well as their proportion. The simplification of their ratio gives us the scale factor of their corresponding sides. Also, their corresponding angles are congruent.
Looking at polygon LMNO and WXYZ, let's set the ratio of their corresponding side against each other to see if they would be equal to each other.
Thus, we have:
LM/XY = ON/WZ = MN/WZ = LO/ZY
35/10 = 35/10 = 63/18 = 63/18
It would give us a scale factor of 3.5
They are similar.
The answer is:
YES
LMNO ~ WXYZ
Scale factor = 3.5
In the diagram, DG I EF
What additional information would prove that DEFG is an
isosceles trapezoid?
y
5
D-22) G 1.2)
O DE GF
O DE DG
O EF DG
O EF = GF
E(-4,-3)
F(3-3)
5
Answer:
a) DE ≅ GF
Step-by-step explanation:
In the picture attached, the diagram is shown.
An isosceles trapezoid is a trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal. In this case, the left and right side lengths are DE and GF, respectively; then they are congruent.
Bill bought 38 1/2 feet of wire fencing to put around his blueberry plants. He cut the wire into several pieces, each one measuring 5 1/2 feet. How many pieces of wire did he have after making the cuts?
Answer: 7
Step-by-step explanation:
You are given that Bill bought 38 1/2 feet of wire. Convert the mixed fraction into improper fraction.
The length L1 = 77/2
You are given that he cut the wire into several pieces, each one measuring 5 1/2 feet. Convert it too to improper fraction.
The length L2 = 11/2
To know how many number of pieces of wire he have after making the cuts, divide length L1 by length L2. That is,
L1/L2 = 77/2 ÷ 11/2
Change the division to multiplication by reciprocating 11/2 to 2/11
77/2 × 2/11 = 77/11 = 7
Therefore, he had 7 pieces of wires after making the cuts.
What is 4•4•4•4•4 in exponential form? And need the answer ASAP
Answer:
It is [tex]4^{5}[/tex]
Step-by-step explanation:
the four is multiplied 5 times
Answer:
it will be 4^5
Step-by-step explanation:
add the # of 4s and u will get ur exponent
he price of a pair of headphones is $39.99 before tax. Dalton bought the headphones for 30% off. He then paid 6% sales tax on the discounted price. Part A: How much did Dalton pay in sales tax? Show all work and steps in your solution. (5 points) Part B: What is the total amount that Dalton paid for the headphones? Show all work and steps in your solution
Answer: I think it’s $1.80
Step-by-step explanation:
Sorry if I’m wrong
Answer:
Firstly, divide the tax rate by 100: 6/100 = 0.06 (tax rate as a decimal). Note: to easily divide by 100, just move the decimal point two spaces to the left.
Now, find the tax value by multiplying tax rate by the before tax price:
tax = 39.99 × 0.06
tax = 2.4 (tax value rouded to 2 decimals)
Add tax to the before tax price to get the final price:
The final price including tax = 39.99 + 2.4 = 42.39
Step-by-step explanation:
Plzz help, I will mark brainliest m Answer needed fast.
Answer:
A=bh=21·13=273
Step-by-step explanation:
using this formula A=bh
place base in b, and the height or hypotenuse in A
Answer: A~267.96
Step-by-step explanation: Draw a height down from the top of the arrow to the base. USE the formula for the Area of a parallelogram A=bh (base x heght) find height using trig 13sin79 . Then multiply 21 x 12.76
HELP FIRST GET BRAINLLEST Which of the statements below are true? Select all that apply. A) Tom's friends are taller than Sam's friends B) Sam's tallest friend is 72 inches tall C) Sam's friends are taller than Tom's friends. D) Tom's tallest friend is over 70 inches tall
Answer:
Step-by-step explanation:
c
Which expression is equal to 6/√5? 6√5/25 30/√5 36/√30 6√5/5
Answer:
6√5/25 = 6√5/(√5)^4 = 6/(√5)^3 (invalid)
30/√5 = 6*(√5)^2/(√5) = 6√5 (invalid)
36/√30 = 6*(√6)^2/(√5*√6) = 6√6/√5 (invalid)
6√5/5 = 6√5/(√5)^2 = 6/√5 (valid)
Answer:
[tex]$\frac{6\sqrt{5} }{5} $[/tex]
Step-by-step explanation:
Which expression is equal to [tex]$\frac{6}{\sqrt{5} } $[/tex]?
Rationalizing denominator:
[tex]$\frac{6}{\sqrt{5} }\cdot \frac{\sqrt{5} }{\sqrt{5} }=\frac{6\sqrt{5} }{5} $[/tex]
-Rounded to the nearest ten, the number is 61 460.
-The number is divisible by 4.
-The digit sum is even.
What is the number
Answer:
61464
Step-by-step explanation:
61464 ~ 61460 to the nearest ten
61464 ÷ 4 = 15366
61464 is an even number
The number is 61464
What is Number system?A number system is defined as a system of writing to express numbers.
When a number is rounded to the nearest ten, the number is 61 460.
61464 ~ 61460 to the nearest ten
When the number is divisible by 4
61464 ÷ 4 = 15366
The digit sum is even
61464 is an even number
Hence, the number is 61464
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(80 pts) Find the probability of selecting two 10's when two cards are drawn (without replacement) from a standard deck of cards.
Answer:
3/663 or 1/221 chance
Step-by-step explanation:
A standard deck of cards contains 52 cards total, 4 suits total. Therefore there are 4 "10"s.
There is a 4/52 (simplified: 1/13) chance to draw a 10 on the first try.
To do it twice there is a 3/51 x 1/13 chance.
Multiply 1 and 3/4 × 4/5.One and three-fourths written as an improper fraction is .
The product written as an improper fraction in lowest terms is .
The answer written as a mixed number is .
Answer:
Multiplication:
1 x (3/4 x4/5)
= 3/5
Answer:
7/5 (improper fraction), or 1 2/5 (mixed number)
Step-by-step explanation:
One and three-fourths written as an improper fraction is 7/4.
Now we multiply 4/5 by 7/4. The '4' in each fraction cancels out the '4' in the other fraction, so that we are left with (1/5)(7/1), or 7/5 (improper fraction), or 1 2/5 (mixed number)
WILL MARK BRAINIEST IF CORRECT.
Which of the following statements are true about the solution set? There is more than one correct answer choice. Select all that apply. 1) −7 is not a solution. 2) Any value greater than −7 is a solution. 3) Any value less than −7 is a solution. 4) There are a limited number of solutions. 5) There are infinite solutions. 6) There are no solutions less than −7.
Answer:
1, 2, 5 and 6 are the answers.
Step-by-step explanation:
2 is correct because the arrow shows that the number line continues till infinity. 5 is correct because any fraction is possible as no restriction of integer value is placed. Any number less than 7 is not included. There are some confusions with 1 as it's not a solid color, So, I assume -7 is not included.
Coach kunal stacks all of the tennis balls in a square pyramid. The number of tennis balls, P(n), in n layers of the square pyramid is given by P(n) = P(n - 1) + n^2. Which could not be the number of tennis balls Coach Kunal has? A. 30 B. 5 C. 14 D. 9
Answer:
D. 9
Step-by-step explanation:
We are told in the question that: The number of tennis balls represented by P(n), in n layers of the square pyramid is given as
P(n) = P(n - 1) + n²
Let's take the first layer
n = 1
P(1) = P(1 - 1) + 1²
P(1) = 1 tennis ball.
It is important to note that the first layers we have one tennis ball.
Let's take the second layer
n = 2
P(2) = P(2 - 1) + 2²
P(2) = P(1) + 2²
Note that: P(1) above = 1
P(2) = 1 + 2²
P(2) = 5 tennis balls
It is important to note that the second layer we have five tennis balls
Let's take the third layer
n = 3
P(3) = P(3 - 1) + 3²
P(3) = P(3 - 1) + 3²
P(3) = P(2) + 3²
Note that: P(2) above = 5
P(3) = 5 + 3²
P(3) = 14 tennis balls
It is important to note that the second layer we have fourteen tennis balls
Let's take the fourth layer
n = 4
P(4) = P(4 - 1) + 4²
P(3) = P(4 - 1) + 4²
P(3) = P(3) + 4²
Note that: P(3) above = 14
P(3) = 14 + 4²
P(3) = 30 tennis balls
It is important to note that the fourth layer we have thirty tennis balls
Hence, the number of tennis balls from the first four layers will be: 1, 5, 14, 30,
So, the number of tennis balls that Coach Kunal could not have is 9.
geometry! please help
Answer: 5.2
Step-by-step explanation:
This is known as the heart beat method. Search it up for a better explinations.
Basically you putting 3/x = x/9 and simplifying to get sqrt27.
Search this up and watch the video for a better explination
heartbeat method geometry
im gon be posting a lot so helppp
Answer:
It's Rational. Hopes this helps you!
Step-by-step explanation:
solve the equation [tex]\frac{x}{3} -\frac{3-2x}{6}=\frac{5}{2} x[/tex]
Answer:
x = - [tex]\frac{3}{11}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{3}[/tex] - [tex]\frac{3-2x}{6}[/tex] = [tex]\frac{5}{2}[/tex] x
Multiply through by 6 to clear the fractions
2x - (3 - 2x) = 15x ← distribute and simplify left side
2x - 3 + 2x = 15x
4x - 3 = 15x ( subtract 4x from both sides )
- 3 = 11x ( divide both sides by 11 )
- [tex]\frac{3}{11}[/tex] = x
Answer: x=-3/11
Step-by-step explanation:
what is the direct variation between x and y when x=4 and y=4/5
Answer:
4/5 = k (4)
Step-by-step explanation:
y=kx
4/5 = k (4)
A Magic Carpet is 12 feet long and 10 feet wide. However, only the purple part of the Magic Carpet has magic power. If the magic part is 2 feet wide, find the area of the magic part of the Magic Carpet.
Answer:
24 square feet
Step-by-step explanation:
The purple part is 2 feet wide and 12 feet long. 2*12=24
The balance on Taylor's credit card is $2000. It has an interest rate of 12.5%. She wants to compare the difference between paying $75 and $100 of the monthly balance. How much does she save in interest and fees if she pays $100 instead of $75? Round to the nearest dollar. Enter your answer as a total in dollars, such as $134.
Answer: kindly check Explanation
Step-by-step explanation:
The balance on card = $2000
Interest rate = 12.5%
Therefore, monthly rate = 12.5% / 12 = 0.0104167
Paying $75 of monthly balance :
Interest amount on 2000 = 0.0104167 × 2000 = $20.83
Therefore,
Principal amount payed = 75 - 20.83 = 54.17
Balance = ($2000 + $20.83) - $75 = 1945.83
Interest on balance = 0.0104167 × 1945.83 = $20.2691
Paying $100 of monthly balance :
Interest amount on 2000 = 0.0104167 × 2000 = $20.83
Therefore,
Repayment = 100 - 20. 83 = $79.17
Balance = ($2000 + $20.83) - $100 = 1920.83
Interest on balance = 0.0104167 × 1920.83 = $20.0087
Interest saved by paying $100 instead of $75
$20.27 - $20.00 = $0.27 = 27 cent
Answer:
$101
Step-by-step explanation:
Check link answer.
Which expression is equivalent to
b^m/b^n
Answer:
b^ (m-n)
Step-by-step explanation:
When the bases are the same, when dividing, we subtract the exponents
b^m/b^n
b^ (m-n)
Question 19 (4 points)
Saved
2(x + 1) + 2(x - 2) = 3(x-3) + 4
Answer:
x=-3solution,
[tex]2(x + 1) + 2(x - 2) = 3(x - 3) + 4 \\ or \: 2x + 2 + 2x - 4 = 3x - 9 + 4 \\ or \: 2x + 2x + 2 - 4 = 3x - 5 \\ or \: 4x - 2 = 3x - 5 \\ or \: 4x - 3x = - 5 + 2 \\ x = - 3[/tex]
Hope this helps...
good luck on your assignment.
Answer:
x = - 3
Step-by-step explanation:
2(x + 1) + 2(x - 2) = 3(x-3) + 4
2x + 2 + 2x - 4 = 3x - 9 + 4
2x + 2x - 3x = - 9 + 4 - 2 + 4
4x - 3x = - 3
x = - 3
Which equation shows how (–10, 8) can be used to write the equation of this line in point-slope form?
Answer:
y - 8 = m(x + 10)
Step-by-step explanation:
Use the standard point-slope form of the equation of a straight line:
y - k = m(x - h), where (h, k) is a point on the line.
Thus, we have y - 8 = m(x + 10).
Sounds like a line was given; if that's the case, please share it. We'd get the slope value (m) from this given line.
Answer:
A (first equation is y – 8 = –0.15(x – 10))
Step-by-step explanation:
A (first equation is y – 8 = –0.15(x – 10))
Please help me solve. Surface area of this pyramid?
Answer:
2619mm^2
Step-by-step explanation:
Surface Area: 2bh+b^2
2(27)(35)+27^2
1890+729=2619
If Angle 8 is congruent to angle 10 and Angle 1 is congruent to angle 7, which describes all the lines that must be parallel? Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16. Only lines r and s must be parallel. Only lines t and u must be parallel. Lines r and s and lines t and u must be parallel. Neither lines r and s nor lines t and u must be parallel.
Answer:
The correct option is C
C) Lines r and s and lines t and u must be parallel
Step-by-step explanation:
I've attached the figure for this questions below. Consult it for better understanding of the solution.
We have been given 2 conditions that:
Angle 8 is congruent to angle 10Angle 1 is congruent to angle 7When both the pair of lines that are r,s and t,u are parallel, then the angles <8 and <10 as well as <1 and <7 become opposite angle, which are always equal. Even if one pair of lines is not parallel, these conditions won;t hold true.
C) Lines r and s and lines t and u must be parallel.
I just took the quiz on edge
Match the average rates of change of 1x) to the corresponding intervals.
-3
-8
-7
-4
[-5, -1]
>
[-4, -1]
(-3, 1]
[-2, 11
Reset
Next
1. Write your answer using only
positive exponents.
(3ab^3c^-1)^3
Answer:
[tex](\frac{{3ab^{3}}}{c^{1}} )^{3}[/tex]
Step-by-step explanation:
[tex](3ab^{3} c^{-1} )^{3} =(\frac{{3ab^{3}}}{c^{1}} )^{3}[/tex]
How many 4-digit numbers divisible by 5, all of the digits of which are even, are there? WILL MARK BRAINLIEST NEEED ASAP
Answer:
4*5*5*2=200 numbers
Step-by-step explanation:
this is because 2,4,6,8 can be the first digit.
2,4,6,8,0 can be the second same for the third.
2 digits can be divisible by 5 which are 5, 0. If it has a 0 at the end it is divisible by 10 which means it is divisible by 5.
Answer:
100 numbers
Step-by-step explanation:
Since there are four digits, the answer will be the product of four numbers. The first digit has to be either 2,4,6, or 8 because it is a four digit number with all even digits. Same for the next two numbers, but zero is also a possibility. The question asks for a number divisible by 5, so the last digit must be a 0 in order to qualify as an even number. So the answer would be 4*5*5*1 (number of possible digits) which is 100.
plzzzzzzzzzzzzzz answer this!!
Answer:
≈ 9.4 cm
Step-by-step explanation:
P(-4, -2), Q(4,3)
d= √(x2-x1)²+(y2-y1)²=√ (4+4)²+(3+2)²= √64+25 = √89 ≈ 9.4 cm
Answer:
9.4
Step-by-step explanation:
Hello! To solve this problem, you need to know the distance between two points formula. That is [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 } \\[/tex]. Now, just plug in the numbers from the equation. [tex]x_{2}[/tex] is -4, [tex]x_{1}[/tex] is 4, [tex]y_{2}[/tex] is -2, and [tex]y_{1}[/tex] is 3. So, then you have [tex]\sqrt{(-4-4)^2+(-2-3)^2}[/tex], which is equal to [tex]\sqrt{89[/tex]. [tex]\sqrt{89[/tex] rounded to one decimal place is 9.4. I believe that is the right answer, please let me know if it helped.