Answer:
410 g
Step-by-step explanation:
Radioactive decay can be modeled by an exponential equation. The amount remaining (y) after a time period (t) can be expressed in terms of the initial amount (a) and the half-life (h).
y = a(1/2)^(t/h)
__
We can use this equation with the given values to find the amount remaining.
y = (680 g)(1/2)^((19 yrs)/(26 yrs)) ≈ (680 g)(0.602583)
y ≈ 410 g
About 410 grams of element X will remain after 19 years.
What compass heading represents 20° north of west? PLS HELP
Answer:
West North West
Step-by-step explanation:
West North West would be the bottom half of North West after you split the compass heading into 2 again.
Answer:
north of west = 290 degrees
north of east = 70
Step-by-step explanation:
Suppose that $b$ is a positive integer greater than or equal to $2.$ When $197$ is converted to base $b$, the resulting representation has $4$ digits. What is the number of possible values for $b$
Suppose that b is a positive integer greater than or equal to 2. When 197 is converted to base b, the resulting representation has 4 digits. What is the number of possible values for b?
The possible values of b are 4 and 5
How to determine the possible numbers of b?The conditions are given as:
b is at least 2When 197 in base b has 4 digits.So, we start by converting 197 to base 2 and above.
This is done as follows:
197 to base 2
2 | 197
98 R 1
49 R 0
24 R 1
12 R 0
6 R 0
3 R 0
1 R 1
0 R 1
So, we have:
197 = 11000101 in base 2
11000101 has more than 4 digits.
This means that b cannot be 2
Using the above method of conversion, we have:
197 = 21022 in base 3197 = 3011 in base 4197 = 1242 in base 5197 = 525 in base 6197 = 401 in base 7See that as the base increases, the number of digits decreases.
The numbers in base 4 and 5 have 4 digits.
Hence, the possible values of b are 4 and 5
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which of the following is a statement of the triangle inequality theorem
Answer:
A
Step-by-step explanation:
Pick any two sides....their sum must be greater than the third side....
a+b > c
a+c > b
c + b > a
Find the 50th term of the sequence: 65536,49152,36846,27648
Step-by-step explanation:
first you should check whether the sequence is arithmetic and geometric .as you see the sequence is arithmetic with the common difference of -16384.
Write this percentage as a fraction in its simplest form. 96 %
(pls)
Answer:
24/25
Step-by-step explanation:
96%=0.96. 96/100=48/50=24/25
Find the volume of a cone with a diameter of 10 yards and a height of 12 yards. round your answer to the nearest tenth.
In 1997 the U.S. population was approxiamately 266,667,000 people. At the rate of 440 prisoners per 100,000 population, about how many prisoners were inthe system
Answer:
Around 1.2 million
Step-by-step explanation:
If we multiply 266,667,000 by 440/100,000 we get about 1,173,334 which we can round to about 1.2 million
Solve for x: 1 over 3 (2x − 8) = 4. (1 point)
Group of answer choices
2
6
10
10 over 3
Answer:
x=6
Step-by-step explanation:
[tex]2x - 8 = 4 \\ 2x = 4 + 8 \\ 2x = 12 \\ x = \frac{12}{2} \\ x = 6[/tex]
Ben believe the orioles will win only 40% of their games this year if they play 160 games how many games does Ben predict they will win (use equivalent ratios)
The number of games Ben predict Orioles will win this year is 64 games
How to find percentage?Percentage of games Ben believe the orioles will win = 40%Number of games Orioles played = 160Number of games Ben predict they will win = 40% of 160
= 40/100 × 160
= 0.4 × 160
= 64
Therefore, the total number of games Ben predict they will win is 64 games
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Identify the angle of depression.
Answer:
4
Step-by-step explanation:
An angle of elevation is the angle formed by a horizontal line and a line of sight to a point above the line.
An angle of depression is the angle formed by a horizontal line and a line of sight to a point below the line.
∠3 is an angle of elevation because it is formed by the line of sight that is above the horizontal line.
∠4 is an angle of depression because it is formed by the line of sight that is below the horizontal line.
∠5 is neither an angle of depression nor an angle of elevation because it is not formed by the horizontal line and the line of sight.
∠6 is an angle of elevation because it is formed by the line of sight that is above the horizontal line.
Therefore, the angle of depression is ∠4.
If you walk 6 blocks east, 2 blocks north, 3 blocks west and 4 blocks south, then what is the total distance you travel?
Answer:
6 + 2 + 3 + 4 = 15
so 15 blocks
a block is about 0.05 miles
so 15 blocks in miles is 0.75 miles
There are 1,486 souvenir paperweights that need to be packed in boxes. Each box will hold 16 paperweights. How many boxes will be needed?
Answer: 93 boxes will be needed
Step-by-step explanation:
If each box holds 16 paperweights, and 1,486 need to be packaged, we will divide 1,486 by 16.
1,486 / 16 = 92.875
We will assume you cannot have 0.875 of a box, so we will round up to:
93 boxes will be needed
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In a lab, a substance was cooled by 6 degrees celsius each hour for 12 hours.
The total change in temperature was what?
Answer:
72 degrees 72° Celsius. It changed by 72 degrees.
Step-by-step explanation:
6 * 12 because it changed 6 degrees each hour for 12 hours
6 *
12
—-
72
Answer:
72 degree Celsius
Step-by-step explanation:
Since every hour the temperature is cooled by 6⁰C and the total time spent was 12 hour we can do a simple multiplication shown:
6 * 12 = 72
I can write a system of linear equations and inequalities from context.
One smartphone plan costs $40 per month and an
extra $3.50 per gigabyte of data used each month.
Another smartphone plan costs $75 per month and
$0.50 per gigabyte of data used each month.
Let c represent the cost of a phone plan, m represent
number of months, and g represent the number of
gigabytes of data used each month. Write a system of
two linear equations that could be used to determine
the number of gigabytes used in a month so that the
two phone plans cost the same amount.
Equation 1:
Equation 2:
An equation is formed of two equal expressions. The number of gigabytes that is used in a month so that the two phone plans cost the same amount is 11.6667 Gigabyte.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let c represent the cost of a phone plan, m represent the number of months, and g represent the number of gigabytes of data used each month.
Equation1: C = 40m + 3.5mg = (40+3.5g)m
Equation2: C = 75m + 0.5mg = (75+0.5g)m
Equating C,
(40+3.5g)m = (75+0.5g)m
40 + 3.5g = 75 + 0.5g
3g = 35
g = 11.6667 gigabyte of data per month
Hence, the number of gigabytes that is used in a month so that the two phone plans cost the same amount is 11.6667 Gigabyte.
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the perimeter of a rectangle is 20 cm and it's area is 24cm^2 find the length and breath of the rectangle
Answer:
length = 6cm , breadth = 4cm
Step-by-step explanation:
Let's assume length = l
breadth = b
Given perimeter of a rectangle = 20 cm
2(l+b) = 20
l+b = 20/2
l+b = 10
l = 10 - b____(1)
Given area of rectangle = 24 cm²
l×b = 24____(2)
(1) in (2) => l × b = 24
(10-b) × b = 24
10b - b² = 24
10b = 24 + b²
0 = b² - 10b + 24
b² - 10b + 24 = 0
b² + 6b + 4b + 24 = 0
b(b+6) +4(b+6) = 0
(b+4)(b+6) = 0
b+4 = 0. &. b+6 = 0
b = -4. b = -6
breadth must be less than length and it should be positive
So b = 4 cm
b=4 in (1)
(1)=> l = 10 - b
l = 10 - 4
l = 6
can i have help with this please
Answer:
B) 7r² - r -1
Step-by-step explanation:
(3r² + 7r + 1) + (4r² - 8r - 2)
1. Remove unnecessary parentheses
3r² + 7r + 1 + 4r² - 8r - 2
2. Combine like terms (ex: r and -2r, n and 4n)
7r² - r -1
Therefore, the correct answer is B.
Hope this helps!
Answer: Heyaa! ~
Your Answer is... 7r²− r −1, Which is B.
Step-by-step explanation:
Subtract the numbers, And then combine like terms,
Solution: 7r²− r −1
Hopefully this helps you! ^
Which one of the following inequalities would require you to reverse the symbol?
a) 2x > -14
b) -14 < 2x
c) -14 ≤ 2x
d) -2x ≥ -14
Imagine that you are given two linear equations in slope-intercept form. You
notice that the slopes are the same, but the y-intercepts are different. How
many solutions would you expect for this system of equations?
O A. 1
OB. cannot be determined
OC. infinitely many
O D.O
Answer:
No solution.
Step-by-step explanation:
When two lines have the same slope but different y-intercepts, they are parallel. Parallel lines never intersect, and therefore there is no solution.
Evaluate the following expression.
(-3)-² =
Answer:
The answer to this is 9.
Step-by-step explanation:
First of all, you wrote the expression wrong, but that's okay. It's supposed to be written as (-3)².
Second of all, since multiplying two negatives makes a positive and squaring is just multiplying the integer to itself, then -3×-3=9. I hope this helps! :)
Can someone help me with this question ?
Answer:
it is median
Step-by-step explanation:
because it have number in alphabetic order
37:28
Chin canned a number of quart jars and a number of pint jars of tomatoes from his garden. A pint is 16 ounces and
a quart is 32 ounces. The number of pints he canned is represented by p, and the number of quarts he canned is
represented by q. Which equation models the scenario if Chin canned a total of 1,280 ounces?
1,280+16p=32q
1,280+32q=16p
32q-16p=1,280
16p+32q = 1,280
The equation that models the scenario is 16p+32q = 1,280.
Which equation models the scenario?Addition is the mathematical operation that is used to determine the sum of two or more numbers.
The equation that would model the scenario can be determined by adding the total pints and total quarts Chin has :
Total pint + total quart = total ounces
16p+32q = 1,280.
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2+7x1232 = what pls help its matth
Answer:
8626
Step-by-step explanation:
use a calculator in instead of here this was a EZ question but thanks for the points and if you have a harder question i'll be waiting
Answer: 8,626
Step-by-step explanation:
PEMDAS
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Multiplication comes first:
2+ (7x1232)
Next, addition:
2+8624
8626
Hope this helps :)) Brainliest would be appreciated :D
anyone know the answer?
Answer:
I think it could be A
Step-by-step explanation:
Not 100% sure tho
A helicopter flies 125 miles west and 20 miles north and lands.
The helicopter flies back on a direct course.
What is its bearing?
Help please!
preform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use size for measurements of very large or very small quantities (e.g use kilometers per year for sea floor apeading.) intercept scientific notation that has been generated by technology
Scientific Notation is EASY.
Just move the decimal to the right if it is positive:
6.2 x 10¹ = 62
6.2 x 10² = 620
6.2 x 10³ = 6,200
6.2 x 10⁴ = 62,000
6.2 x 10⁵ = 620,000
6.2 x 10⁶ = 6,200,000
Move the decimal to the left if it is negative:
6.2 x 10⁻¹ .62
6.2 x 10⁻² = .062
6.2 x 10⁻³ = .0062
6.2 x 10⁻⁴ = .00062
6.2 x 10⁻⁵ = .000062
6.2 x 10⁻⁶ = .0000062
What about about 6.2 x 10⁰?
6.2 It wouldn't change location.
I hope this helps!
13. What is the surface area of the rectangular solid below using its net?
90 square units
108 square units
72 square units
84 square units
Answer:
108 square units
Step-by-step explanation:3 x 4 = 12
3 x 4 = 12
6 x 3 = 18
6 x 3 = 18
6 x 4 = 24
6 x 4 = 24
24(2) + 18(2) + 12(2) = 108 square units
Therefore, the surface area of the rectangular solid below using its net is 108 square units
marry has to carry 323 apples from a farm to the market. how many baskets will she need, given that each basket can hold 48 apples?
Answer:
she will need about 7 baskets, the proper number is 6.7 but round up and its 7
Step-by-step explanation:
hope this helps!
The function f(x) = 5x - 4 is changed to f(x) = 5x + 3. What is the result?
Answer: move up or add 7 in positive direction
What is the area of a polygon with vertices of (-2,-4), (4,-4), (4, 4), and (-5, 4)?
216 square units
30 square units
120 square units
60 square units
Answer: 60 square units
Step-by-step explanation: i hope that helps buddy :)
43.7826087 rounded to the nearest tenth
Answer:
43.8
When you round look at the number after the one your rounding up to. If its greater than 5 round up. If its lower than 5 keep it the same number