Answer:
The exponential function is that of decay
The percentage decrease is by 3%
Step-by-step explanation:
The exponential equation we are considering is;
y = 550(0.97)^x
Now to know if it’s decay or growth, we shall be considering what we have in the bracket
Mathematically, we can express 0.97 as follows
0.97 = 1-0.03
So what does this means? There is a decrease in subsequent values from one value of y to another.
This means that the equation is for decay as what the term raised to an exponent is less than 1.
Now we want to determine the percentage rate of increase or decrease
What we need to do is to represent the 0.03 difference in fraction
That would be 3/100
So this means that the percentage decrease is by 3%
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
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
De un total de 60 personas en una escuela , 36 han elegido el curso de computacion ¿que porcentaje represebtan
Answer:
the answer is 21.6%
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
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.
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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.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
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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the table shown below represents a function.which of the following values could not be used to complete the table ?
Answer:
A worker bee has a mass of \,1\cdot{ 10^{-4}}1⋅10
−4
1, dot, 10, start superscript, minus, 4, end superscript \text{kg}kgstart text, k, g, end text. There are 4\cdot{ 10^4}4⋅10
4
4, dot, 10, start superscript, 4, end superscript worker bees living in one hive.
What is the mass of all the worker bees in the hive together?
Write your answer in scientific notation.
Step-by-step explanation:
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:
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.
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
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
I’m not very good at this kind of stuff.
A trapezoid’s top measures 2.2 m, and its height measures 4.0 m. Calculate the measurement of the base if the area of the trapezoid is 13 m²
Answer:
The measurement of the other parallel side which is the base of the parallelogram is 4.3 m
Step-by-step explanation:
Mathematically, the area of a trapezoid can be calculated using the formula below;
A = 1/2 (a + b) c
where a and b are the parallel sides and c is the height
We have one parallel sides and the height including the value of the area
Let’s say A = 13
a = 2.2m
h = 4.0 m
Plugging these values, we have;
13 = 1/2(a + 2.2) 4
26 = 4(a + 2.2)
26 = 4a + 8.8
26-8.8 = 4a
4a = 17.2
a = 17.2/4
a = 4.3 m
The smiths holiday tickets cost £352 including 10% flight tax. How much were the tickets before the flight task
Answer:
£320
Step-by-step explanation:
Using proportion,
If 110% = £352
100% = ?
= [tex]\frac{100}{110} * 352[/tex]
= £320
If Smiths holiday costs is 352 pounds including 10% flight tax then the tickets were of 320 pounds.
What is percentage?It is a number or ratio expressed as a fraction of 100.It is expressed by % sign.
How to calculate costs?We have been given that the total cost of Smith's holiday tickets is 352 pounds and it includes 10% flight tax. then the tickets before the flight tax can be calculated as under:
let the cost before flight tax be x.
x+ x*10%=352
x+10x/100=352
110x/100=352
110x=35200
x=35200/110
x=320
Hence if total cost is 352 pounds and it includes 10% flight tax then the cost of ticket before tax is 320 pounds.
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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
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!
The lines below are perpendicular if the slope of the green line is 3/2 what is the slope of the red line
Answer:
The perpendicular line has a slope of -2/3
Step-by-step explanation:
Perpendicular lines have a slope that multiplies to -1
3/2 * m = -1
Multiply each side by 2/3
3/2 * 2/3 *m = -1 * 2/3
m = -2/3
Answer: -2/3
Step-by-step explanation: The key to understanding this problem is to understand what it means when slopes are perpendicular.
To most students, perpendicular lines are simply
lines that meet at a 90 degree angle.
However, when dealing with these kinds of problems, it's important
to think about perpendicular lines in terms of their slopes.
As a rule, the slopes of two perpendicular
lines are always negative reciprocals.
So if we know that the slope of one line is 3/2, we can find the slope of the other line by finding the negative reciprocal of 3/2.
So we take the fraction and flip it, then we change the sign.
So the negative reciprocal of 3/2 is -2/3.
What is the value of x for the point with a y-value of 6?
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
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.
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
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
Which graph shows a proportional relationship
Answer:
b
Step-by-step explanation:
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
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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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.
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.
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