Answer:
Dividing the current value by the previous value ALWAYS equals 1.05.
Since the growth rate is constant, it is linear.
Step-by-step explanation:
Answer:
ExponentialStep-by-step explanation:
The relationship is linear when the rate of change is constant. It means the sequence of the dependent variable forms an arithmetic sequence.
We see the the sequence of Projected Value is not arithmetic but geometric sequence with common ratio of 1.05.
It will have equation:
y = 25000*1.05ˣThis is therefore exponential.
The equation x^2+ (k - 3)x + (3 - 2k) = 0, where k is a constant, has two distinct real roots.
(a) Show that k satisfies k^2+2k-3>0
Step-by-step explanation:
For quadratic equation ax^2 + bx + c = 0 to have two distinct real roots,
b^2 - 4ac must be positive.
b^2 - 4ac > 0
(k - 3)^2 - 4(3 - 2k) > 0
k^2 - 6k + 9 - 12 + 8k > 0
k^2 + 2k - 3 > 0
To show that k satisfies k² + 2k - 3 > 0 ,the discriminant is given as Δ [tex]= (k - 3)^2 - 4(1)(3 - 2k) = k^2 + 2k - 3.[/tex]
How to prove the expressionTo have two distinct real roots, the discriminant of the quadratic equation must be positive. The discriminant is given by;
Δ [tex]= (k - 3)^2 - 4(1)(3 - 2k) = k^2 + 2k - 3.[/tex]
For two distinct real roots, Δ > 0. So, we have k² + 2k - 3 > 0. Thus, k satisfies the inequality k² + 2k - 3 > 0.
In summary, for the quadratic equation x² + (k - 3)x + (3 - 2k) = 0 to have two distinct real roots, the value of k must satisfy the inequality k² + 2k - 3 > 0
Learn about quadratic equations at: https://brainly.com/question/1214333
#SPJ3
8x - 8 - x = 3 (6 - 2x)
Answer:
x = 2
Step-by-step explanation:
8
−
8
−
=
3
(
6
−
2
)
{\color{#c92786}{8x}}-8{\color{#c92786}{-x}}=3(6-2x)
8x−8−x=3(6−2x)
7
−
8
=
3
(
6
−
2
)
code for the below question
We have to calculate the area of a rectangle, a square and a circle. Create an
interface 'Shape' with three methods declarations namely 'RectangleArea' taking two
parameters, 'SquareArea' and 'CircleArea' taking one parameter each. The parameters
of 'RectangleArea' are its length and breadth, that of 'SquareArea' is its side and that of
'CircleArea' is its radius. Now create another class 'Area' containing all the three
methods 'RectangleArea', 'SquareArea' and 'CircleArea' for printing the area of
rectangle, square and circle respectively. Create an object of class 'Area' and call all the
three methods.
Step-by-step explanation:
can I use python?
yes or no
please help me with my homework
Answer:
steps below
Step-by-step explanation:
5-1) Center of dilation: intersect of AA' and BB' (or CC' ...) (M in the graph)
5-2) scale factor = A'B' / AB = 6/4 = 1.5
5-3) ratio of all corresponding sides are equal = 1.5 and parallel, it also means all corresponding angles are similar.
How many solutions exist for the mixed-degree system graphed below?
Answer:
(c) part two is correct ans.
Step-by-step explanation:
mark me as a brainlist plz.
9
Mark studied a group of 30 whales. If each wale weighed approximately 380,000 pounds, find
the total weight of all 30 whales. Express your answer is standard form.
Answer:
11400000
Step-by-step explanation:
1 whale = 380000 lbs
30 whale weighs 380000×30
30 whales = 11400000
The first day of Sam's vacation was a Monday.
What was the day of the week on Sam's 36
day of vacation?
Answer:
I think it was monday also
Answer:
The day of the week on Sam's 36th
day of vacation would be Tuesday.
Please help me... it would be great!
3) 1 1/2 gallons for 3/4 of the room
Answer; 2 gallons for 4/4 of the room
4) 12 1/2 gallons drives 325 miles
Answer; 1 gallon drives 26 miles
15. Reid earns $15 for each lawn he cuts. He wants to buy a new bike that costs
$109. How many lawns will he need to cut in order to have enough money?
The life of Sunshine CD players is normally distributed with a mean of 4.1 years and a standard deviation of 1.3 years. A CD player is guaranteed for three years. We are interested in the length of time a CD player lasts. Find the probability that a CD player will last between 2.8 and seven years. (a) Sketch the situation. Label and scale the axes. Shade the region corresponding to the probability. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot (b) Give the probability statement and the probability. (Enter exact numbers as integers, fractions, or decimals for the probability statement. Round the probability to four decimal places.) P < x < =
Using the normal distribution, we have that:
a) The sketch of the situation is given at the end of this answer.
b) The probability is:
[tex]P(2.8 \leq X \leq 7) = 0.8284[/tex]
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
Mean of 4.1 years, thus [tex]\mu = 4.1[/tex].Standard deviation of 1.3 years, thus [tex]\sigma = 1.3[/tex].Item a:
The part between 2.8 and 7 years is shaded on the sketch given at the end of this answer.
Item b:
The probability is the p-value of Z when X = 7 subtracted by the p-value of Z when X = 2.8, thus:
X = 7:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7 - 4.1}{1.3}[/tex]
[tex]Z = 2.23[/tex]
[tex]Z = 2.23[/tex] has a p-value of 0.9871.
X = 2.8:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.8 - 4.1}{1.3}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.1587.
0.9871 - 0.1587 = 0.8284, thus:
[tex]P(2.8 \leq X \leq 7) = 0.8284[/tex]
A similar problem is given at https://brainly.com/question/25151638
If lineman works 9 1/2 hours a day on a certain job at $28.70 per hour, what is the pay for a day?
You deposit $400 in an account earning 8% interest compounded annually. How much will you have in the account in 15 years?
Answer:
you will gain 280,462.92 in peso.but you convert in in dollar you will gain $5,520.00
3/5 of 2 kg
what is the answer
Answer: 1.2 kilograms Brainliest please happy to help
Step-by-step explanation:
can anyone help me with question b
Answer:
nnkbnlkn lk kgkbnlnbkvnbklcnlkbnblknbklv.
Step-by-step explanation:
what equation is perpendicular to the equation 4y=x-36
Answer:
y=6 and x=9
Step-by-step explanation:
Ur dad left you IMAO go look for your dad
need help with this plz
Answer:
[tex]x = \frac{ - 24 \pm \sqrt{ - 288} }{4} \\ = \frac{ - 24 \pm \sqrt{ ( - 1) {(12)}^{2} (2)} }{4} \\ = \frac{ - 24 \pm \sqrt{ - 1} \sqrt{ {12}^{2} } \sqrt{2} }{4} \\ = \frac{ - 24 \pm i 12\sqrt{2} }{4} \\ =-\frac{24}{4}\pm \frac{i12\sqrt{2}}{4}\\= - 6 \pm \: i3 \sqrt{2} [/tex]
__% of 4 is 7
Please answer its due today
Answer:
175%
hope that helps. :)
graph the line with slope 2/3 passing through the point (5,2). I need a picture of where to put the lines
In a class of 40 students, 14 students wore blue jeans.
-Write the ratio cf students wearing blue jeans to those not wearing blue jeans.
Answer: 14:26
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
What value of x is in the solution set of -5x-15x> 10+20x
Paloma evaluated the expression 1 3/4 − 5/8. What is a way she can check her work?
9514 1404 393
Answer:
add the subtrahend to the difference
Step-by-step explanation:
The usual way to check a subtraction problem is to add the subtrahend to the difference to see if you get the minuend as a result.
Paloma can add 5/8 to her result to see if she gets 1 3/4.
__
She can also perform the subtraction using decimal fractions to see if she gets the same result.
1.750 -0.625 = 1.125
I will give you BRAINLYEST if you answer this. (I did not get an answer the first time that I asked this)
What is the sign of the product (3) × (−25) × (7) × (−24)?
Positive, because the products (3) × (−25) and (7) × (−24) are negative and the product of two negative numbers is positive
Positive, because the products (3) × (−25) and (7) × (−24) are positive and the product of two positive numbers is positive
Negative, because the products (3) × (−25) and (7) × (−24) are negative and the product of two negative numbers is negative
Negative, because the products (3) × (−25) and (7) × (−24) are positive and the product of two positive numbers is negative
Answer:
Positive, because the products (3) × (−25) and (7) × (−24) are negative and the product of two negative numbers is positive
Step-by-step explanation:
(3) × (−25) × (7) × (−24) =(-75)(negative)×(-168)(negative)=12 600(positive)
Mrs. Trip landed at Boston Logan airport and exchanged 700 Euro for $875 at a currency exchange store. Then she realized that she would need more cash and exchanged 400 Euro more. How many dollars did she receive for the second transaction?
Answer:
$500
Step-by-step explanation:
find the ratio
875/700=5/4
apply the ratio
5/4*400=500
Explicit Formula for 10,12,14,16,18
20 cm
Den
mm
Base, heighi.
and lengu are
Above
Answer:
500
Step-by-step explanation:
Volume of a triangular prism formula
The volume formula for a triangular prism is (height x base x length) / 2, as seen in the figure below: ( attatchment )
So, you need to know just three measures: height, base, and length, in order to calculate the volume.
Which fractions are equivalent to 1012?
[tex]50/60[/tex]
That should be your answer
Answer:
Hello, There! I'm here to help!
QuestionWhich fractions are equivalent to 10/12?
AnswerAccording to The Question I'm guessing you mean 10/12
If so The Following Fractions are Equilvalent to 10/12
1. 20/24
2. 30/36
3. 40/48
5. 50/60
Step-by-step explanation:
To get Eqilvalent You Can Multiply Number to the fractions to find out what's Equilvalent
Therefore, I hope this helps you!
Find the constant of proportionality
when x = 2 and y = 1.5
Step-by-step explanation:
y=kx
1.5=k×2
1.5/2=k
15/2×10=k
3/2×2=k
3/4=k
0.75=k.
Two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube. One particle travels 97 cm in the 1st 2 seconds, 93 cm in next 2 seconds , 89 cm in another next 2 seconds, etc. The other particle travels 49 cm in the 1st 2 seconds, 47 cm in the next 2 seconds , 45 cm in another next 2 seconds, etc. Find how long it takes for the particles to meet and hence, determine the distances travelled by each particle.
This shows that it will take the particle 23 secs to meet.
The distance travelled by each particle is 50cm
If two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube,
The first particle distances are 97cm, 93cm, 89cm... every 2secs
This form an arithmetic sequence and the nth term is expressed as:
Tn = a + (n - 1)d
a is the first term = 97
d is the common difference = 4
Substitute
Tn = 97+(n - 1)(4)
Tn = 97 + 4n -4
Tn = 4n + 93
Similarly for the distances 49 cm, 47 cm, 45cm .....
This also forms an arithmetic sequence and the nth term is expressed as:
Tn = a + (n - 1)d
a is the first term = 49
d is the common difference = 2
Substitute
Tn = 49+(n - 1)(2)
Tn = 49 + 2n -2
Tn = 2n + 47
For the particles to meet, this means that 4n + 93 = 2n + 47
4n - 2n = 47 - 93
2n = -46
n = -23
This shows that it will take the particle 23 secs to meet.
To get the distance travelled by each particle
Tn = 4n + 93
T2 = 4(2) + 93
T2 = 101
For the other sequence;
Tn = 2n + 47
T2 = 2(2) + 47
T2 = 51
Taking the difference;
D = 101 - 51 = 50cm
Hence the distance travelled by each particle is 50cm
Learn more here: https://brainly.com/question/13989292
4) Which number is a factor
of 24 but not a multiple
of 6?
S= 2LW + 2LH + 2WH
solve for W
Rewrite the equation as
2lw+2lh+2wh=a.2lw+2lh+2wh=a
Subtract
2lh
from both sides of the equation.
2lw+2wh=a−2lh
Factor
2w out of 2lw+2wh.
2w(|+h)=w−2lh
Divide each term by
2(l+h)
and simplify.
.w=a−2lh2(l+h)
