Answer: A and D are the correct answers.
Step-by-step explanation:
in 2012, the population of a city was 63,000. by 2017, the population was reduced to approximately 54,100. identify any equations that are appropriate models for the population of the city, and explain why the others are not
Answer:
[tex]f(x) = 63000(0.97)^x[/tex]
Step-by-step explanation:
Given
[tex]f(0) = 63000[/tex] ---x = 0, in 2012
[tex]f(5) = 54100[/tex] -- x = 5, in 2017
Required
Select all possible equations
Because there is a reduction in the population, as time increases; the rate must be less than 1.
An exponential function is represented as:
[tex]f(x) = ab^x[/tex]
Where
[tex]b = rate[/tex]
rate > 1 in options (a) and (b) i.e. 1.03
This implies that (a) and (b) cannot be true
For option (c), we have:
[tex]f(x) = 63000(0.97)^x[/tex]
Set x = 0
[tex]f(0) = 63000(0.97)^0 = 63000*1=63000\\[/tex]
Set x = 5
[tex]f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100[/tex]
This is true because the calculated values of f(0) and f(5) correspond to the given values
For option (d), we have:
[tex]f(x) = 52477(0.97)^x[/tex]
Set x = 0
[tex]f(0) = 52477(0.97)^0 - 52477* 1 = 52477[/tex]
This is false because the calculated value of f(0) does not correspond to the given value
For option (e), we have:
[tex]f(x) = 63000(0.97)^\frac{1}{5x}[/tex]
Set x = 0
[tex]f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =[/tex]undefined
This is false because the f(x) is not undefined at x = 0
For option (f), we have:
[tex]f(x) = 52477(0.97)^{5x[/tex]
Set x = 0
[tex]f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477[/tex]
This is false because the calculated value of f(0) does not correspond to the given value
From the computations above, only (c) [tex]f(x) = 63000(0.97)^x[/tex] is true
I need some help find the area of the shaded region and round to the nearest hundredth
Answer:
The area of the shaded region is 21.45cm².
The Two goal posts in football pitch, maths textbooks,chairs in classroom etc are all examples of ________ figures.
Answer:
3 dimensional figures
Step-by-step explanation:
Given
Goal Posts
Maths Textbooks
Chairs
Required
The type of figures
Each of the given figures are always above the ground, in other words; they have heights greater than 0.
When an object has lengths, width and heights greater than 0; such object is referred to as a 3 dimensional figure
Find the measure of a.
Answer:
Step-by-step explanation:
The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.
Evaluate f(-2): SHOW ALL WORK
f(x) = x - 4
Answer:
-6
Step-by-step explanation:
substitute x=-2
f(-2)=(-2)-4=-6
Answer:
- 6
Step-by-step explanation:
f(x) = x - 4
f( - 2) = - 2 - 4 = - 6
How do you turn 5(2x+y) into like terms?
5(2x+y) → [ ? ] - 2y-6x
Answer:
10 x + 5 y
Step-by-step explanation:
Fill the empty slots by dragging tiles from the left to show
the next step for solving the equation
Solve the two-step equation
- 3x - 21 = 27
NG
No
Show result
Please help
Answer:
x =-16
Step-by-step explanation:
Given the equation
-3x - 21 = 27
We are to find the next step in solving the equation
Step 1: Add 21 to both sides
-3x - 21 + 21 = 27 + 21
-3x = 48
Step 2: Divide both sides by -3
-3x/3 = 48/3
-x = 16
x = -16
Hence the value of x is -16
A farmer sells 8.6 kg of Pierce an apple at the Farmers Market two fifths of the wait is pears and the rest is apples how many kilograms of apples did she sell at the Farmers Market
Answer:
Weight of Pears = 3.44 Kgs
Weight of Apple = 5.16 Kgs
Step-by-step explanation:
Given
The total weight of the Pears and the apple is 8.6 Kg
Out of this total weight, the weight of the pears is 2/5
Hence, weight of the Pears is 2/5 * 8.6 = 3.44 Kg
Weight of the Apple is equal to 8.6 -3.44 Kgs = 5.16 Kgs
Weight of Pears = 3.44 Kgs
Weight of Apple = 5.16 Kgs
Divide the difference of 50 and 10 by the sum of 3 and 2. what expression represents the statement?
Answer:
(50-10) ÷ (3+2)
Step-by-step explanation:
Answer:
E
Step-by-step explanation:
E
3. A researcher finds that the correlation between High School GPA and College GPA is 0.40. What
percentage of the variation in College GPA can be explained by the relationship with High School
GPA?
a. 0%
b. 16%
c. 20%
d. 40%
e. 60%
A company’s mean salary is $65,000 with a standard deviation of $6,000. What is the probability that an employee makes between $70,000 and $80,000?
An employee has a probability of 0.19706 to make between $70,000 and $80,000
What is Probability?Probability is the potential for an event to occur or occur, and it indicates the likelihood that a statement is true. It is a field of mathematics where the probabilities of experiments happening are computed. We can determine everything from the likelihood of getting heads or tails when tossing a coin to the likelihood of making a research error, for instance, using a probability. It's formula is = number of favorable outcomes/total number of outcomes
Let X be the annual salary of employees in a large company.
Given the mean salary is $65,000 and the standard deviation is $6,000, the probability of making between $70000 and 80000 can be calculated as:
[tex]P(70000 < X < 80000)[/tex] = [tex]P(\frac{70000 - 65000}{6000} < z < \frac{80000 - 65000}{6000} )[/tex]
[tex]P(0.833 < z < 2.5)[/tex]
= 0.99379 - 0.79673 (from normal distribution table)
= 0.19706
Hence, the probability that an employee makes between $70,000 and $80,000 is 0.19706
Learn more on Probability here:
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Find the value of x.
Answer:
x=67º
Step-by-step explanation:
First since the supplementary angle next to 157º is in the triangle, we can find that. 180-157 = 23. Then we can use triangle angle sum theorem to find x. 180-(23+90) = 67º
what theorem can be used to prove these triangles are congruent?
Answer:
B. HL
Step-by-step explanation:
#CARRYONLEARNING
Solve the equation:
2 + y/3 =8
13. Sarita recorded the high temperatures in her town for the month of July and used
her data to make this box and whisker plot.
The mean temperature of the month was 94".
At least half of the temperatures were 94 or greater.
E
||||
88 90 92 94 96 98 100 102 104
Temperature (°F)
Which statement must be true?
There were fewer temperatures between 92° and 94 than
between 94° and 99%.
There were more temperatures between 99 and 104° than
between 88° and 92,
Answer:b
Step-by-step explanation:
Select the correct answer from the drop down menu,
The square root of 125 is between
Band 9
Reset
Next
9 and 10
10 and 11
11 and 12
11 and 12
Step-by-step explanation:
The square root of 125 is between 11 x 11 = (121) and 12 × 12 = (144)
Answer:
11 and 12
Step-by-step explanation:
i just took the test
How many vertices does this shape have?
please please helpppp!
Answer:
3
Step-by-step explanation:
So all of them have a theretical probability of 1/5. Now to determine the experimental propability. (1=6/25, 2=2/25, 3=5/25 or 1/5, 4=4/25, 5=8/25)
Three has an experimental propability of 1/5, which is the same as its theretical propability.
What is the midpoint of the segment AB given point A(-6.1) and point B(3,7)?
a) (14,6)
b) (7,3)
c) (2,8)
d) (1,4)
Anybody know the answer please?
Answer:
D) 80.5 cm sq
Step-by-step explanation:
square 10x7 = 70
Triangle (7x3) /2 = 10.5
70+ 10.5 = 80.5
Antoine buys 8 caramel apples for 20.00. Each caramel apple costs the same amount. What is the cost, in dollars, per caramel apple?
Answer:
2.5 per Caramel apple , just divide it , I hope that's correct and I'm sorry if it's not.
Answer:
2 dollars
Step-by-step explanation:
help !!
I can't understand it
1.
a.) The color of Aqueous solution turns light green from blue, due to formation of iron sulphate .
b.) The color of the Aqueous solution turns colorless from blue due to formation of zinc sulphate.
2. Bells used in temples aren't made up of wood because wood isn't sonorous and hence can't produce ringing sound, and hence metals are used in making bells.
3. phosphorous is kept in water because it is highly reactive and reacts vigorously with air if left free in atmosphere .
4.
a.) CuSO4 + Mg =》MgSO4 + Cu
this is a single displacement reaction, where Magnesium being more reactive than Copper, displaces copper from its compound (copper sulphate) to form magnesium sulphate.
b. H2SO4 + Zn =》ZnSO4 + H2
this is a single displacement reaction,
where Zinc being more reactive than
hydrogen, displaces hydrogen from its
compound (sulphuric acid) to form Zinc sulphate.
a.) The color of Aqueous solution turns
The color of Aqueous solution turnslight green from blue, due to formation
The color of Aqueous solution turnslight green from blue, due to formationof iron sulphate.
b.) The color of the Aqueous solution
The color of the Aqueous solutionturns colorless from blue due to
The color of the Aqueous solutionturns colorless from blue due toformation of zinc sulphate.
2.
Bells used in temples aren't made upof wood because wood isn't sonorousand hence can't produce ringing sound,and hence metals are used in makingbells.
3.phosphorous is kept in water becauseit is highly reactive and reacts vigorouslywith air if left free in atmosphere
4.a.) CuSO4+ Mg MgS04 +Cu
this is a single displacement reaction,where Magnesium being more reactivethan Copper, displaces copper from itscompound (copper sulphate) to formmagnesium sulphate.
b. H2S04 +Zn =) ZnS04+H2
b. H2S04 +Zn =) ZnS04+H2this is a single displacement reaction,where Zinc being more reactive thanhydrogen, displaces hydrogen from itscompound (sulphuric acid) to form Zincsulphate.
Step-by-step explanation:
I hope it helps
have a great day
#Liliflim
Consider the reflectional symmetry of the rhombus. How many lines of symmetry does the shape have? 0 1 2 4
Answer:
is the answer of emonis
PLSSSSS HELP ME I WILL GIVE BRAINLIEST
Answer:
y-intercept is (0,5)
Step-by-step explanation:
When a graph passes through (0,a), that's y-intercept. y-intercept is a point on y-plane that a graph passes through.
For Ex. If a graph passes through (0,4) then the y-intercept would be (0,4).
But remember that it must be (0,a) for it to be y-intercept (Because it has to intersect the y-plane)
Find the surface area of the ball shown. Use 3.14 for π.
Radius is 11 cm.
Answer:
379.94
Step-by-step explanation:
Hope this helps :)
i need help asap, answer with the correct answer and dont troll me
Answer:
B, between 0.1 and 0.3 because between them is 0.2!
A, 0.45 is greater than 0.3 so it a little below would be just right!
stephen takes a walk around the block. the rectangular block is 125 m long and 75 m wide. How far does Stephen walk?
Answer:
400m
Step-by-step explanation:
It s be the perimeter.
Length X2 sides + width x 2 sides
125 X2 sides + 75. X2 sides
250 + 150
400m
If you place a 37-foot ladder against the top of a 15-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.
Answer:
33.8
Step-by-step explanation:
a²+b²=c²
15²+b²=37²
225+b²=1369
-225 -225
b²=1144
√1144
b=33.8
The distance from the bottom of the ladder to the bottom of the building would be 33.8 foot.
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
If you place a 37-foot ladder against the top of a 15-foot building.
Let BC be the distance from the bottom of the ladder to the bottom of the building.
[tex]|AC|^2 = |AB|^2 + |BC|^2 \\15^2+BC^2=37^2\\225 + BC^2=1369\\BC^2 = 1369 - 225\\\\BC^2 = 1144\\\\BC = 33.8[/tex]
Learn more about Pythagoras' theorem here:
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what is 9-x/5=3?
I kept getting 6 but the only option is -6 :/
Step-by-step explanation:
[tex]9 - \frac{x}{5} = 3 \\ 9 - 5 \times \frac{x}{5} = 3 \times 5 \\ 9 - x = 15 \\ - 9 - x = - 9 + 15 \\ - x = 6 \\ - x \div - 1 = 6 \div - 1 \\ x = - 6[/tex]
Answer:
Yeah the answer is -6
Step-by-step explanation:
9-x/ 5= 3
9-x = 15 (5 times three)
-x = 6 (9-6)
x= -6 ( a variable can never Be negative, but we have to give the minus to 6)
I hope this helps!
The range of a set of numbers is 6 1/4
The smallest number is -2 3/8
Work out the largest number.
Answer:
HURRY
Dr. Khan works for the marketing department of a company that manufactures mechanical toy dogs. Dr. Khan has been asked to assess the effectiveness of a new advertising campaign that is designed to be most persuasive to people with a certain personality profile. She brought four groups of participants to the lab to watch the video advertisements and to measure the likelihood that they would purchase the toy, both before and after watching the ad. The results of Dr. Khan’s study are presented below.
Part A
Explain how each of the following concepts applies to Dr. Khan’s research.
Survey
Dependent variable
Big Five theory of personality
Part B
Explain the limitations of Dr. Khan’s study based on the research method used.
Explain what Dr. Khan’s research hypothesis most likely was.
Part C
Use the graph to answer the following questions.
How did the trait of agreeableness affect how people responded to the new ad campaign?
How did the trait of conscientiousness affect how people responded to the new ad campaign?
Answer:
3 [tex]\frac{7}{8}[/tex]
Step-by-step explanation:
To find the largest number add the value of the range to the smallest number.
- 2 [tex]\frac{3}{8}[/tex] + 6 [tex]\frac{1}{4}[/tex] ( change to improper fractions )
= - [tex]\frac{19}{8}[/tex] + [tex]\frac{25}{4}[/tex]
= - [tex]\frac{19}{8}[/tex] + [tex]\frac{50}{8}[/tex]
= [tex]\frac{31}{8}[/tex]
= 3 [tex]\frac{7}{8}[/tex]