The size of the city in 10 years is equal to 29,802.32
Given the following data:
Population = 3200Growth rate = 25% = 0.25Time = 10 years.To calculate the size of the city in 10 years:
In this exercise, you're required to determine the size of this city in the next ten (10) years.
The formula for exponential growth.Mathematically, the exponential growth of a population is given by this formula;
[tex]P = a(1+r)^t[/tex]
Where:
P is the total population.r is the growth rate.t is the time.Substituting the given parameters into the formula, we have;
[tex]P = 3200(1+0.25)^{10}\\\\P = 3200(1.25)^{10}\\\\P = 3200 \times 9.3132[/tex]
P = 29,802.32
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Paul's family is driving home from a trip. They plan to drive part of the distance each day for 3 days. Which choices show the
amounts they could drive each day to complete the trip home? Select the two correct answers.
Answer:
1) is correct. not second
Step-by-step explanation:
Find the Unit Rate
Amy can read 88 pages in 4 hours. What is the
unit rate? (How many pages can she read per
hour?)
Help plzzzz
Answer:
22
Step-by-step explanation:
give them brain, they're correct.
The Unit Rate for Amy will be 22 pages per hour.
What is Unit Rate?The Unit Rate is defined as means a rate for one of something.
We have,
Amy can read 88 pages in 4 hours.
So,
Now,
Number of pages Amy can read in 1 hour [tex]=\frac{88}{4}[/tex]
So,
Number of pages Amy can read in 1 hour = 22,
That means,
The Unit Rate for Amy is 22 pages per hour.
Hence, we can say that the Unit Rate for Amy will be 22 pages per hour.
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LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN = 6x + 16 and MP = 8x - 2
x
Please help please
write f(x)=(x-2)(x+2)(x+1)^2 as a polynomial function
Answer:
Step-by-step explanation:
[tex](x-2)(x+2)((x+1)^2\\ \\ (x^2-4)(x+1)^2\\ \\ (x^2-4)(x^2+2x+1)\\ \\ x^4+2x^3+x^2-4x^2-8x-4\\ \\ x^4+2x^3-3x^2-8x-4[/tex]
A school reserved a banquet hall for the spring dance. In addition to a $100 deposit, each couple must pay $20. If the total cost of the banquet hall is $1, 140. Compare and contrast the steps you used to solve the problem algebraically and arithmetically.
Step-by-step explanation:
1.)20x + 100 = 1440
-Let the number of couples be x. So, the total amount paid by all the couple’s are $20x. School paid $100 as security, so the total amount paid is
$ (20x + 100)
2.) 20x = 1440 - 100 ⇒ 20x = 1040
X = 52
3. ) The security money is $100, so the couples paid $1440- 100 = $1040 in total. As the couples paid $ 20 each than- [tex]\frac{1040}{20}[/tex] = 52
8 cups of water and 3 cups of drink mix. whats the ratio of water to drink mix
Answer:
8:3
Step-by-step explanation:
,......What is, x-3>7
Answer:
Step-by-step explanation:
x-3>7, add 3 to both sides
x>10
Ben kaç yasındayım
A 12
B 10
C 8
D 14
Answer:
?????????????????
Step-by-step explanation:
Determine the domain of the function.
F(x)=x/x-9
Answer:
All Real x (x not = 9).
Step-by-step explanation:
When x = 9, f(x) = 9/0 which is undefined.
So the Domain is All Real x, x not = 9.
Answer:
Find the domain by finding where the expression is defined.
Interval Notation: (− ∞,0)∪(0,∞)
Set-Builder Notation:{x|x≠0}
Step-by-step explanation:
Match the graph
with its inequality.
I tried but got the wrong answer. Can someone help and explain?
Answer:
I
Step-by-step explanation:
This is a dotted line so we can automatically eliminate, b, e, g, h, and j. The shading in greater than, so we can eliminate a, and d.
Now all we have left are c, f and *i,
*(because if converted to y intercept the sign will flip because the y is negative in this equation.)
Now convert to y intercept form (y=mx+b).
Flip the sign because some are negative.
C. y>(-5/2)x+0
F. y>-2x+9
I. y>(4/3)x-(5/3)
Now use rise over run, or you could just look at the b. B is equal to the y-intercept. It can't be 0 or 9, and (-5/3) is equal to -1.67. So isn't that the closest to what the y intercept looks like in the graph?
A study of immunizations among school-age children in California found that some areas had rates of unvaccinated school-age children as high as 13.5%. Imagine a district in the state where 13.5% of children are unvaccinated. If three children are chosen randomly (assume they are not siblings) from this district, what is the probability that all three children have been vaccinated
Answer: 0.6472
Step-by-step explanation:
Given: The proportion of unvaccinated school-age children = 13.5%
Then, the proportion of vaccinated school-age children :p=100%-13.5%
= 86.5% = 0.865
Total children selected :n=3
Binomial probability formula:
[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex]
The probability that all three children have been vaccinated :
[tex]P(X=3)=\ ^3C_3(0.865)^3(0.135)^0\\=(1)(0.647214625)\approx0.6472[/tex]
Hence, the required probability = 0.6472
The question reads The graph of y=f(x) is shown below (dashed curve). Manipulate the green draggable points to obtain the graph of y=f(-x+4)-5 (solid curve). Someone help me please!!!
The graphs of y = f(x) and the transformed function are illustrations of function transformation
How to determine the graph of y=f(-x+4)-5The parent function is given as:
y = f(x)
The lines and curves on the graph cannot be manipulated; however, the description of the function y=f(-x+4)-5 can be given
The transformation of function y = f(x) to y=f(-x+4)-5 is as follows:
First, the graph of y = f(x) is reflected across the y-axisNext, the graph is shifted right by 4 unitsLastly, the graph is shifted down by 5 unitsRead more about function transformation at:
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Which statement best
describes the function?
A. The function is always increasing.
B. The function is never increasing.
C. The function is increasing when x > 0.
D. The function is increasing when x < 0.
Answer:
C. The function is increasing when x > 0.
Step-by-step explanation:
Statement best describes the function, The function is increasing when x > 0.
We have given that,
A. The function is always increasing.
B. The function is never increasing.
C. The function is increasing when x > 0.
D. The function is increasing when x < 0.
What is the increasing function?
A function is increasing when the y-value increases as the x-value increases, like this It is easy to see that y=f(x) tends to go up as it goes along.
We have to determine the statement best describes the function.
Therefore,The function is increasing when x > 0.
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Lake Chelan in Washington State is 55 miles long. Lake Chelan is 5 times as long as Long Lake in Maine. How long is Long Lake?
Answer:
275
Step-by-step explanation:
Here is a story: Lin bought 4 bags of apples. Each bag had the same number of apples. After eating 1 apple from each bag, she had 28 apples left. Which diagram best represents the story?
Answer:
C
Step-by-step explanation:
simplify 8x + y - 2x.
Answer:
6x + y
Step-by-step explanation:
One acre is equal to 4840 square yards. Jamal's backyard is 121 yards long and 40 yards wide. How big is Jamal's backyard in acres?
Answer:
Step-by-step explanation:
121(40)/4840
4840/4840
1 acre
una pizza tiene 19 cm de radio. en la pizzeria tienen cajas cuadradas de 10,15,20,30,40 cm de lado ¿en cual de ella deben meterlas?
Answer:
en la a caja de 40 cm
Step-by-step explanation:
esto se debe a que el radio sería la mitad de la pizza, por lo que se suman 19 y 19. Dando como resultado 38 que es el diámetro o longitud total de la pizza
What is the value of 9.6 x 12.643?
Answer:
121.3728
Step-by-step explanation:
calcluated with calculater
Read the following scenarios and indicate the type of reliability in each scenario. Explain your answers
i) Test-retest reliability
ii) Parallel forms reliability
iii) Internal consistency reliability
iv) Interrater reliability
a) You want to evaluate the reliability of a critical thinking assessment. You create a large set of items that all pertain to critical thinking and then randomly split the questions into two sets of questionnaires. You administer both versions of the test to the same group of individuals. The scores from the two versions can then be correlated in order to evaluate the consistency of results across alternate versions.
b) You want to evaluate the degree to which the art portfolios in your 7th grade class meets the required standards. You ask 3 different art experts to evaluate the students' portfolios with the help of a rubric.
c) You are developing a math measure to test the constructs of number sense and logic of your 4th grade students. You want to make sure your measure is not testing other constructs like arithmetic skills. You would like to evaluate the degree to which different test items that probe the same constructs produce similar results.
Answer:
The Type of Reliability in each Scenario are:
Scenario Type of Reliability Test
a) Parallel forms reliability
b) Interrater reliability
c) Internal consistency reliability
Step-by-step explanation:
Types of Reliability Tests:
Test-retest reliability = measures the results consistency with the application of the same test at different times.
Interrater reliability = shows consistent ratings by different examiners.
Parallel forms reliability = uses alternative versions of an equivalent test to probe for similar results.
Internal consistency reliability = this test checks the consistency of individual items of a test.
11x-7=8x +5 what is the answer
Answer:
X = 4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
11x-7=8x+5
3x=12
x=4
Read the proof. Given: AEEC; BDDC Prove: △AEC ~ △BDC Triangle A E C is shown. Line segment B D is drawn near point C to form triangle B D C. Statement Reason 1. AEEC;BDDC 1. given 2. ∠AEC is a rt. ∠; ∠BDC is a rt. ∠ 2. definition of perpendicular 3. ∠AEC ≅ ∠BDC 3. all right angles are congruent 4. ? 4. reflexive property 5. △AEC ~ △BDC 5. AA similarity theorem What is the missing statement in step 4? ∠ACE ≅ ∠BCD ∠EAB ≅ ∠DBC ∠EAC ≅ ∠EAC ∠CBD ≅ ∠DBC
Answer:
Step-by-step explanation:∠ACE ≅ ∠BCD
Answer:
d
Step-by-step explanation:
What is the answer to 1/4y=7
Answer:
y = 28
Step-by-step explanation:
1/4y=7 | Given
y = 28 | Multiplicative property of equality (multiply 7 by the denominator of 1/4y)
I need help asapp!!!!!!!
Answer:
Step-by-step explanation:
As per midsegment theorem of a trapezoid,
Segment joining the midpoints of the legs of the of the trapezoid is parallel to the bases and measure half of their sum.
Length of midsegment = [tex]\frac{1}{2}(b_1+b_2)[/tex]
3). MN = [tex]\frac{1}{2}(18+10)[/tex]
= 14
4). MN = [tex]\frac{1}{2}(57+76)[/tex]
= 66.5
5). MN = [tex]\frac{1}{2}(AB+DC)[/tex]
7 = [tex]\frac{1}{2}(AB+10)[/tex]
14 = AB + 10
AB = 14 - 10
AB = 4
6). 15 = [tex]\frac{1}{2}[(3x+2)+(2x-2)][/tex]
30 = 5x
x = 6
Apply the distributive property to create an equivalent expression.
1/5 (15+10k) =
Answer:
1/5(15+10k)
=1/5.15+1/5.10k
=3+2k
Answer:
3+2k
Step-by-step explanation:
khan said so
Find the length of the diameter with endpoints of (1,-3) and (5,-6) *
Answer:
5
Step-by-step explanation:
if the point A is (1;-3), the point B is (5;-6), then
1. the formula of the required length is:
[tex]d=\sqrt{(X_A-X_B)^2+(Y_A-Y_B)^2};[/tex]
2, after the substitution of the coordinates of the points A and B into the formula of the required diameter:
[tex]d=\sqrt{(1-5)^2+(-3+6)^2}=\sqrt{16+9}=5.[/tex]
use the formula P=21+2w to find the perimeter of the rectangle shown below. a long thing with a length of 39.9in and a height of 9.2 in
From the table below, determine whether the data shows an exponential function. Explain why or why not. x 3 2 1 –1 y 8 2 0.5 0.125 a. No; the domain values are at regular intervals and the range values have a common factor 0.25. b. No; the domain values are not at regular intervals although the range values have a common factor. c. Yes; the domain values are at regular intervals and the range values have a common factor 4. d. Yes; the domain values are at regular intervals and the range values have a common factor 0.25.
Answer:
D
Step-by-step explanation:
No the function is not an exponential function as the domain values are not at regular intervals although the range values have a common factor.
What is exponential function?The exponential function is a function which is formed by the unit e which is equal to 2.718.
How to identify function?The differences between x-values are -1, -1, -1, -2 . . . . not a constant difference
The ratios of y-values are 2/8 = 0.5/2 = 0.125/0.5 = 0.25 . . . . a constant difference
The domain values do not have a common difference shows the common factor of the range values which are of no use. So, the function is not exponential.
Hence the table does not show exponential function in any way because the domain values are at regular intervals and the range values have a common factor 0.25.
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Is this table a function
Answer:
Yes.
Step-by-step explanation:
pls help me asap i need it
Answer:
don't know
Step-by-step explanation: