Answer:
The percentage of the substance is left after 10 hours is 60%.
Step-by-step explanation:
The expression representing the amount left after a certain period of decay is:
[tex]y=a(1-r)^{t}[/tex]
Here,
y = final amount
a = initial amount
r = decay rate
t = time taken
It is provided that:
a = 1
r = 5% / hour
t = 10 hours
Compute the percentage of the substance is left after 10 hours as follows:
[tex]y=a(1-r)^{t}[/tex]
[tex]=1\times (1-0.05)^{10}\\\\=0.95^{10}\\\\=0.598737\\\\\approx 0.60[/tex]
The percentage is: 0.60 × 100 = 60%.
Thus, the percentage of the substance is left after 10 hours is 60%.
Somone I need help with this? Number 7
Answer:
Shape
Step-by-step explanation:
Shape because if you make the boat the right shape, it has a better chance of floating.
.please answer this question i will mark it brainliest
Answer:
a = 20.79cm ( 2 decimal places)
Step-by-step explanation:
find the length of the identical sides (i name it "x") first using Pythagoras theorem
[tex]14.8^{2}[/tex] = [tex]x^{2} + x^{2}[/tex]
219.04 = [tex]2x^{2}[/tex]
[tex]x^{2}[/tex] = 219.04/2 = 109.52
x = [tex]\sqrt{109.52}[/tex]
now find a,
[tex]a^{2}[/tex] = [tex](\sqrt{109.52}) ^{2}[/tex] + [tex](7.5 + \sqrt{109.52}) ^{2}[/tex]
[tex]a^{2}[/tex] = 109.52 + 322.7477 = 432.2677
a = [tex]\sqrt{432.2677}[/tex] = 20.791048
What are the slope and y-intercept of the line represented by
the points shown in the table?
Answer:
To find the y-intercept, graph the points, and draw a line that passes through them. the place that it passes the y-axis is the y-intercept. To find the slope, find two points on the line. Take the increase in the y-coordinate and divide it by the increase in the x-coordinate.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Which graph shows a proportional relationship
Answer:
b
Step-by-step explanation:
the first and third terms in the following Fibonacci sequence are x and y.
Write down algebraic expressions for the second, fourth and fifths terms.
plz reply ASAP
Answer:
The second term of the sequence is y-xThe fourth term of the sequence is 2y-xThe fifth term of the sequence is 3y-xStep-by-step explanation:
The next term of a Fibonacci sequence is generated by taking the sum of the 2 preceding value of the sequence. Given the the first and third term of a Fibonacci sequence to be x and y
x, _, y...
let the second term be a, fourth term be b and fifth term be c to have the sequence;
x, a, y, b, c...
According to the definition;
x+a = y... 1
a+y = b... 2 and;
y+b = c... 3
From equation 1, a = y-x
Substituting a = y-x into equation 2 to get b we have;
(y-x)+y = b
2y-x = b
b = 2y-x
Substituting b = 2y-x into equation 3 to get 'c'
y + 2y-x = c
3y-x = c
c = 3y-x
The second term of the sequence is y-x
The fourth term of the sequence is 2y-x
The fifth term of the sequence is 3y-x
Will give brainliest answer What is the value of a21? A.36 B. 58 C.60 D. 41
Answer:
41
Step-by-step explanation:
Matrix Multiplication follows a row-column format. In order to compute this, you must be familiar with vector dot products.
With that in mind, lets get straight into it.
The order that matrix multiplication follows means that the terms in the result are filled in left to right, then top to bottom.
Therefore, a21 will be the 3 value that is computed. This is important becuase this allows to directly compute a21, instead of using up a lot of time computing all the values before.
As a21 is located in the bottom row 1st column, we take the dot product of the 2nd row in matrix 1 and the 1 column in matrix two.
So we have:
(7 2) dot (5 3) = 7*5 + 2*3 = 41
find f(-3) if f(x) = x^2
Answer:
=
−
1
2
×
3
2
=
1
×
9
=
9
Step-by-step explanation:
f
(
−
3
)
=
9
Explanation:
f
(
x
)
=
x
2
To find f(-3) replace
x
in the function by
−
3
Therefore:
f
(
−
3
)
=
(
−
3
)
2
=
−
1
2
×
3
2
=
1
×
9
=
9
Answer:
9
Step-by-step explanation:
f(x) = x²
f(-3) =(-3)² = (-3)*(-3) = 9
What is the area of a parallelogram when the height is 10 and the base is 15
Answer:
150
Step-by-step explanation:
A=bh
A=15×10
A=150
Answer:
150
Step-by-step explanation:
it is just like finding the area of a rectangle! 10*15=150
Beatrice made 7 2/3 cups of lemonade for her lemonade stand. Later, she made 10 3/5 more cups of lemonade. How many cups of lemonade did she make in total
Answer:
She made [tex]18\frac{1}{15}[/tex] cups of lemonade in total.
Step-by-step explanation:
A fraction contains a numerator(upper value) and denominator(lower value). The total cup of lemonade that Beatrice made is 25 1/3.
What are proper and improper fractions and how do convert mixed fractions to simple fractions?A fraction contains a numerator(upper value) and denominator(lower value).
When the numerator is less than the denominator, the fraction is called a proper fraction, otherwise, it is called an improper fraction.
A proper fraction is also called a fraction which is less than 1.And an improper fraction is ≥ 1A mixed fraction contains a sum of a whole number and a proper fraction.A mixed fraction can be converted as,
2 1/2
= (2×2 + 1)/2
= 5/2
= 2.5
Given that Beatrice made lemonade twice, first, she made 7 2/3 cups of lemonade and in the second turn, she made 10 3/5 more cups of lemonade. Therefore, the total cups of lemonade that Beatrice made is,
Total cups of lemonade = 7 2/3 + 10 3/5
= 23/3 + 53/5
= (23×5 + 53×3)/(3×5)
= (115 + 265)/15
= 380/15
= 25 5/15
= 25 1/3
Hence, the total cup of lemonade that Beatrice made is 25 1/3.
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Kathleen and Arnob both run from the park entrance along a loop. Kathleen starts walking from the park entrance and gets a 5-mile head start on Arnob. The graph shows how far they have both traveled. A coordinate grid labeled Distances Traveled with Time in minutes along the horizontal x-axis and Distance in miles along the vertical y-axis with 2 lines. The first line is labeled y equals (StartFraction 1 over 15 EndFraction) x plus 5 and passes through (0, 5) and (60, 9). The second line is labeled y equals (StartFraction 2 over 15 EndFraction) x. The lines appear to intersect at between 70 and 80 along the x-axis and 10 on the y-axis. How many minutes does it take Arnob to catch up to Kathleen? 9.8 10 73.5 75
Answer:
75
Step-by-step explanation:
It's D on edg
The number of minutes it take Arnob to catch up to Kathleen is 75 minutes.
Number of minutesGiven:
Mile head start=5 mile
Distance along y-axis=2 lines
Hence:
y=1/15x+5
=y=2/15x
So,
1/15x+5=2/15x
1/15x=5
x=75 minutes
The correct option is D.
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1.56666666667 as a fraction? pls help asap
to do this all you have to do is make the denominator 1 and the numerator should be 1.566666667
If the gradient of a line,C, is 2/3, what is the gradient of a line which perpendicular to C
The gradient of a line which perpendicular to C is -3/2
How to determine the gradientThe gradient of a line shows how steep it is. Gradient is also called the slope of a line.
Let's use the fact that the product of the gradients of two perpendicular lines is -1 to determine the gradient of a line perpendicular to line C.
We can determine the gradient of the line perpendicular to C if the gradient of line C is 2/3.
Take the negative reciprocal of the gradient, we have;
-3/2
Since the negative reciprocal of 2/3 is -3/2.
Therefore, the gradient of the line perpendicular to C is -3/2.
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What is the result of substituting for y in the bottom equation?
y= x-7
y = x2 + 2x - 4
Answer:
x^2+x+3
Step-by-step explanation:
y=x-7
x-7=x^2+2x-4
x^2+2x-4-x+7
x^2+x+3
Answer: x-7=x^2+2x-4
A P E X
Step-by-step explanation:
but also, if you are wondering how I got to that answer, you substitute y in for the y equation. Since y=x-7 you’ll take that why and put in in the y in (y)=x^2+2x-4.
EASY question for y’all mathy people! Easy points, i’m just not a mathy person. question in photo.
Answer:
C
Step-by-step explanation:
This is a function because it is a standard quadratic equation, meaning it is a parabola that opens up so it passes the vertical line test.
Answer:
C
Step-by-step explanation:
It is a quadratic equation. This means it is a parabola that opens up so it does pass the vertical line quiz.
Which point of below lie on the curve y=x^3 (1/3,1/9), (-1,1), (-2,-6), (-1/2,-1/8)
Answer:
(-1/2, -1/8)
Step-by-step explanation:
I graphed it and (-1/2, -1/8) is the only point that lands on the graph.
Please solve idk how to
Answer:
You have the right answer.
Step-by-step explanation:
The image might be blurry but its the best I can post.
That's solving it without the x and y values. Its still the answer you picked.
Hope this helps, have a good day! :)
(Brainliest would be appreciated?)
Answer:
5√xy
Step-by-step explanation:
√25x²y²/√xy= √25x²y²/xy= √25xy= 5√xy
If A = 3x² + 5x - 6 and B --2x2 - 6x + 7, then A - B equals?
Answer:
x^2 + 11x - 13
Step-by-step explanation:
A = 3x^2 + 5x - 6
B = 2x^2 - 6x + 7
=> A - B = (3x^2 + 5x - 6) - (2x^2 - 6x + 7)
= (3x^2 - 2x^2) + (5x + 6x) - (6 + 7)
= x^2 + 11x - 13
I hope this helps!
What is the value of x for the point with a y-value of 6?
Find the product.
(n3)2 · (n5)4
Answer:
[tex]n^{26}[/tex]
Step-by-step explanation:
[tex]n^{3 \times 2} \times n^{5 \times 4}[/tex]
[tex]n^{6} \times n^{20}[/tex]
[tex]n^{6+20}[/tex]
[tex]n^{26}[/tex]
Answer:
N^26
Step-by-step explanation:
N ^3^2 = n^6
N^5^4 = n^20
Multiply. Use laws of exponents
N^6 x n^20 = n^20+6 = n^26
Hope this helps
Find the area of the shape shown below.
9 3 3
Answer:
The answer would be 18
Step-by-step explanation:
the formula for area of a triangle is 1/2b*h
so would mulitply 3*3 and get 9/2 which would be 4.5 do that on the otherside and you would get 4.5 again add together and you would get 9
for the square you would calculate the area by multplying b*h to get 9 so 9+9=18
If ABCD is dilated by a factor of , the
coordinate of D' would be:
PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!!
Answer:
(2,-1)
Step-by-step explanation:
Multiply the original coordinates by 1/3
The formula for the circumference of a circle is C = 2r, where r is the radius and C is the circumference. The equation solved for r is r = r equals StartFraction C Over 2 pi EndFraction..
Find the radius of a circle that has a circumference of 16.
r = 4
r = 8
r = 12
r = 16
Answer:
r=8
Step-by-step explanation:
Because 16 divided by 2 is 8
The radius of a circle has a circumference of 16 at r = 8.
What is the radius of a circle?Given: the formula for the circumference of a circle is C = 2r, where r is the radius and C is the circumference.
The circumference of a circle is equal to π.
π ≈ 3.14
multiplied by the diameter of the circle.
Therefore, the diameter has twice the length of the radius.
In equation form:
2r = d.
2r = 16.
r = 8.
Note, 2r = d,
Then, the equation C = 2πr holds and can be used in place of C = πd.
The radius of a circle has a circumference of 16 at r = 8.
Learn more about the radius of a circle
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Scenario: Mike is buying a large pizza. The pizza
costs $8.00 plus $0.50 for each additional topping.
Identify the y-intercept and slope.
y-intercept:
Slope:
I’m not very good at this kind of stuff.
For f(x) = 4x+1 and g(x) = x^2-5 find (f+g)(x)
Answer:
Step-by-step explanation:
(f+g)(x) = f(x) + g(x)
= 4x + 1 + x² - 5
= x² + 4x - 4
Answer:
x^2 +4x -4
Step-by-step explanation:
f(x) = 4x+1
g(x) = x^2-5
(f+g)(x) = 4x+1 + x^2 -5
Combine like terms
= x^2 +4x +1-5
=x^2 +4x -4
Patrick and his brother each start a savings account. Patrick begins with $200
and plans to deposit an additional $25 per month. His brother begins with
$150 and plans to deposit an additional $35 per month. After how many
months will the two brothers have the same amount in their accounts?
Answer:
Both brothers will have the same amount of money is their saving accounts after six months.
Step-by-step explanation:
I worked this out by finding out the first 8 months of savings for both brothers:
Patrick: His brother:
200 150
225 185
250 220
275 253
300 290
325 325
375 360
400 395
I then looked across my results to see that at 6 months both brothers had $325.
Hope this helped.
A figure is a regular n-gon. Which of the following
expressions represents the sum of the measures of
the exterior angles of the polygon, one at each
vertex?
A. (180 - 10°
360
B. 180
12
C. (n - 2)180°
D. 360°
Answer:
The correct answer is D. 360°
Step-by-step explanation:
The sum of all the exterior angles of a regular n-gon or a polygon is always equal to 360°.
Let us consider the image attached.
First of all let us consider the triangle.
As per the property of exterior angles: The exterior angle is equal to the sum of 2 opposite interior angles.
[tex]\Rightarrow \angle 1=\angle B + \angle C\\\Rightarrow \angle 2=\angle A + \angle C\\\Rightarrow \angle 3=\angle A + \angle B[/tex]
Where [tex]\angle A, \angle B\ and\ \angle C[/tex] are the interior angles of the triangle.
Adding the above equations:
[tex]\angle 1 +\angle 2 +\angle 3 = 2 \times (\angle A +\angle B +\angle C )[/tex]
The sum of interior angles of a triangle is always equal to 180°
[tex]\angle A +\angle B +\angle C = 180^\circ[/tex]
[tex]\angle 1 +\angle 2 +\angle 3 = 2 \times 180^\circ\\\Rightarrow \angle 1 +\angle 2 +\angle 3 = 360^\circ[/tex]
Hence, proved that the sum of exterior angles is [tex]360^\circ[/tex].
So, the correct answer is D. [tex]360^\circ[/tex]
Using the greatest common factor, reduce the fraction \frac{32}{48} 48 32 to its simplest form
Answer:
2/3
Step-by-step explanation:
32/48= 16*2/16*3= 2/3
1. A rectangular swimming pool measures 12 cm by 15 cm. What is the area of the pool?
2. A rectangular container of volume 123 cm cube is one-third full of water. What is the volume of water?
1) 180 square cm
Answer:
2) 41 cubic cm
Step-by-step explanation:
1)
Area of pool = 12 * 15 = 180 square cm
2) Volume of water = 1/3 * Volume of pool
= 1/3 *123
= 41 cubic cm
Solve for h.
h–2–17≤–1
Answer:
h≤18
Step-by-step explanation:
Step 1 :
Solve Basic Inequality : 1.1
Add 18 to both sides h ≤ 18
Inequality Plot
Inequality plot for
h - 18.000 ≤ 0
Answer: h≤18
Hope this helps.
