Answer:
Here a rational number is in standard form if its denominator is positive in lowest term.
[tex]\frac{4}{-9} =\frac{-4}{9}[/tex]
3 point
The population of a small town over four years is recorded in the chart
below, where 2013 is represented by x= 0. The population, P(x), for these
years can be modeled by the function P(x) =aby, where bis rounded to the
nearest thousandth. Whkh statements about the function are true?
Answer:
1) I and III
Step-by-step explanation:
The equation of an exponential function is given by:
y = abˣ
where x is an independent variable, y is a dependent variable, a is the initial value of y (that is value of y at x = 0), b is greater than 1 for an exponential growth while b < 1 for an exponential decay.
Given that x represent years and P(x) represent population. 2013 is represented by x= 0, hence:
At the year 2013 (x = 0), the population is 3810, hence a = 3810.
The equation becomes:
P(x) = 3810(b)ˣ
At 2014 (x = 1), the population is 3943. Hence:
3943 = 3810(b)¹
3810b = 3943
b = 1.035.
Therefore a = 3810, b = 1.035. The correct option is 1) I and III
Since b > 1, this is an exponential growth.
Chen is playing a game that requires each player to spin an arrow to one of four colors, equally divided: green, orange, purple, or yellow.
Four players before Chen spun the arrow to purple, but Chen really wants her arrow to land on green. How is the probability of Chen’s spin affected by the spins of previous players?
Chen's probability of landing on purple is increased because the previous players all landed on green.
Chen's chances of landing on purple are not affected by the other players landing on green.
Chen's probability of landing on purple is decreased because the previous players all landed on green.
Answer:
1/4
Step-by-step explanation:
They are equally divided and there are a total 4 sections.
To find probability for yellow:
Numerator : how many yellows sections there are
Denominator : total sections there are
Therefore, the probability would be 1 in 4 chances.
Answer:
it's the 3 one
Step-by-step explanation:
shdddjdjdjdjdjdos
A greeting card is 25 centimeters tall and 17 centimeters wide. What is its perimeter?
Answer: 84 cm
Step-by-step explanation: The sides lengths are 25 cm and 17 cm. And to get parameter you have to add all the sides. So, it would be 25 + 25 + 17 + 17.
Which of the following is not a function? Click on the graph until the correct graph appears
Answer: the picture is too cropped so i cannot see all the options
Step-by-step explanation:
What is the answer to 1.) 2.)3.)4.)
Answer:
1. the coefficient is 8
2. the coefficient is 3
3. the coefficient is 1
4. the coefficient is 14
Callum wins £300 in a raffle .
He gives 5% of the 300 to charity
He uses the rest to buy clothes .
Work out how much money he spent on clothes
Answer:
5/100 x 300=15
300-15=285
Hello there! Please answer this question for me please. Brainliest and 35 points!
What is the area of figure ABCD?
A
104 square inches
B
120 square inches
C
136 square inches
D
168 square inches
Answer:
That's a Trapezium
Area =½( A + B)x H
A and B are the top and bottom of the shape.
H is the height.
Substituting...
Area = ½(13+17)8
=120 Square Inches
Answer:
B. 120 in.²
Step-by-step explanation:
13 × 8 = 104 in.²
17 - 13 = 4
4 × 8 = 32
32 ÷ 2 = 16
16 in.² + 104 in.²
120 in.²
CAN SOMEONE PLEASE HELP ME AND SOLVE THE PROBLEM STEP BY STEP IF IT WAS DONE CORRECTLY I WIL PUT U AS BRANLIEST THANK YOU!!!
Answer: (5,3)
Step-by-step explanation:
y=x^2-10x+28
Complete the square.
y=(x-5)^2+3
Use the vertex form, y=a(x-h)^2+k to find the values of a, h, and k.
a=1
h=5
k=3
Find the vertex (h, k).
(5, 3)
Pre-calc, Review the table of values for function g(x). Which statement correctly explains whether Limit of g (x) as x approaches 3 exists? (image attached)
Answer:
[tex]\lim_{x \to 3} g(x) = DNE[/tex]
Step-by-step explanation:
Observations:
As x approaches 3 from the left side, f(x) approaches -1.6 As x approaches 3 from the right side, f(x) approaches 1.6Conclusion:
Because the right and left-side limits are not equal to each other, the limit does not existTherefore, [tex]\lim_{x \to 3} g(x) = DNE[/tex]Answer:
A.
Step-by-step explanation:
Got it right
Write an expression (Simplified) for the perimeter of the given figure.
PLS ANSWER ASAP
Answer:
p = 6x + 10
Step-by-step explanation:
p = 2(l + w)
p = 2(6 + (3x - 1))
Simplify terms inside parenthesis
p = 2(3x + 5)
Distribute
p = 6x + 10
Using the graph, determine the
coordinates of the vertex of the parabola.
Y
10
9
8
6
5
4
3
2
1
X
-10 -9
-8
-7
-6
-5 -4 3
-2
-1
1
2
3
4
5
6
7
8
9
10
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
Answer:
twenty thousand and two
What is the value of b in the equation 3b - 4 = 11?
Answer:
b = 5
Step-by-step explanation:
3b - 4 = 11
Add 4 to each side
3b - 4+4 = 11+4
3b = 15
Divide each side by 3
3b/3 = 15/3
b = 5
Answer:
b = 5
Step-by-step explanation:
3b - 4 = 11
3b - 4 + 4 = 11 + 4
3b = 15
3b ÷ 3 = 15 ÷ 3
b = 5
What is the solution to the equation 3(2x + 5) = 3x+4x?
Сра
XD0
X=4
X-5
X-15
Save and Exit
Which best describes the vertex of this parabola?
which statement is true about these functions?
1.The graph and the equation have the same slope.
2.The graph has a greater slope.
3.The equation has a greater slope.
4.none of the above.
Answer:
Option (2)
Step-by-step explanation:
1). Equation of the line given in the question is,
[tex]y=\frac{1}{2}x+5[/tex]
Slope of the line = [tex]\frac{1}{2}[/tex]
Slope of the line given in the graph = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{3}{4}[/tex]
But [tex]\frac{1}{2}\neq \frac{3}{4}[/tex]
Therefore, slopes of the line and the line given in the graph are not equal.
Option (1) is incorrect
2). Since, [tex]\frac{3}{4}> \frac{1}{2}[/tex]
Therefore, Option (2) is correct.
3). Since, graph has a greater slope, option (3) is incorrect.
Option (2) is the correct statement.
An oil tank in the shape of a cylinder has a diameter of 40 feet and a height of 32 feet. Which expression can be used to find the volume of the oil tank? Recall the formula V = pi r squared h.
Answer:
40217.6 cubic feet
Step-by-step explanation:
Given data
Diameter= 40feet
Radius= 20feet
Height=32feet
The expression for the volume is given as
V= πr^2h
Substitute
V= 3.142*20^2*32
V= 3.142*400*32
V=40217.6 cubic feet
Hence the volume of the tank is 40217.6 cubic feet
Leo is working part time as a server in a restaurant. He makes $8.14 for each hour he works, and on average earns an additional $300 per week in tips. Which function, f(x), can Leo use to model his average weekly salary in terms of the number of hours, x, he works?
Answer:
f(x) = 8.14x + 300
Step-by-step explanation:
The function of 8.14x + 300 can be used to model Leo's average weekly salary in terms of x.
What is a function?' A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.'
According to the given problem,
Amount Leo earns for each hour he works = $8.14
Amount Leo earns in x hours = $8.14x
Amount Leo earns as additional tip per week = $300
Therefore, the function of x is,
⇒ f(x) = 8.14x + 300
Hence, we can conclude, the function that can be used to model his weekly salary is 8.14x + 300
Learn more about function here: https://brainly.com/question/9046022
#SPJ2
Can someone help me find the slope of line RK
Answer:
The slope is equal to (4-(-5))/(-4-(-6)) which is equal to 4.5
Answer:
the slope for line RK is
m = 2/9
Step-by-step explanation:
Express the following division in the form of a + bi: (1+3i)(2+i)
Answer:
[tex](1 + i\,3) \cdot (2 + i) = -1 + i\,7[/tex]
Step-by-step explanation:
We proceed to present the procedure by algebraic means:
1) [tex](1 + i\,3)\cdot (2 + i)[/tex] Given
2) [tex]2\cdot (1 + i\,3) + i\,(1+i\,3)[/tex] Distributive and Commutative Properties
3) [tex]2 + i\,6 + i + i^{2} \,3[/tex] Distributive, Commutative and Associative Properties
4) [tex]2 + i\,7 -3[/tex] Definition of imaginary number/Distributive, Commutative and Associative Properties
5) [tex]-1 + i\,7[/tex] Commutative and Associative Properties
Drink sales for an afternoon at the school carnival were recorded in the table below.
What is the experimental probability that the next drink is a small coffee? Enter your
answer as a simplified fraction.
Given:
The table that represents the drink sales for an afternoon at the school carnival.
To find:
The experimental probability that the next drink is a small coffee.
Solution:
From the given table it is clear that,
The total number of drinks sold = 72+99+63+68+47+58
= 407
The number of small coffee sold = 63
Now, the experimental probability that the next drink is a small coffee is:
[tex]\text{Probability}=\dfrac{\text{Number of small coffee sold}}{\text{Total number of drinks sold}}[/tex]
[tex]\text{Probability}=\dfrac{63}{407}[/tex]
It cannot be simplified further.
Therefore, the experimental probability that the next drink is a small coffee is [tex]\dfrac{63}{407}[/tex].
Tristan records the number of customers who visit the store each hour on a Saturday. His data representing the first seven hours are 15, 23, 12, 28, 20, 18, and 23. How many customers visited the store during the eighth hour if the median number of customers per hour did not change?
16
19
20
23
Answer:
20
Step-by-step explanation:
The number of Customers that visited the store during the eight hour if the median number of customers didn't change is; C: 20
What is the Median?We are given the data representing the first seven hours as; 12, 15, 18, 20, 23, 23, 28. Here; n=7
Thus;
Median = (n + 1)/2 = (7 + 1)/2
Median = 4th term
Thus, the median is 20.
When one data is added, n = 8. Thus;
Median will be the average of the 4th and 5th term. Since the median does not change, it means that the median number of customers per hour is still 20.
Read more baout Median at; https://brainly.com/question/1552529
18. Find the length of the segment indicated. Round your answer to the
nearest tenth if necessary.
Answer:
b. 6.2
Step-by-step explanation:
x =√18.2²-17.1² =√331.24- 292.41
= √38.83 = 6.2
3. Which number represents 5.33 written
533/100 then simplify
5 and 33/100
But that isn't an option and none of those options convert into 5.33, and I haven't been able to solve 3.75 repeating yet nor think it would convert into 5.33 anyhow. Please correct me if I'm solving this wrong.
PLEASSSS ANSWERRR
Josh offers to buy a team photo for 10 of his teammates,
but 2 of them don't want one.
If a team photo costs $4, how much will Josh spend on his teammates?
Answer:
ok lets turn this into a equation
x=4(10-2)
x=4(8)
X=32
so josh will spend 32 dollars on his team mates
Your Welcome
BIFFY OUT!!!
Answer:
The expression is 4(10 - 2).
Josh will spend $32
Step-by-step explanation:
Hope It HEPLS :D
Yolanda makes wooden boxes for a crafts fair. She makes 300 boxes like the one shown, and she wants to paint all the outside faces.
Answer:
1800
Step-by-step explanation:
cube have 6 faces
6*300=1800
what two numbers that multiply to 20 and add to 9
Answer:
4 and 5
Step-by-step explanation:
4+5=9
4*5=20
Answer:
5 an 4
Step-by-step explanation:
If you add 5+4 you get 9
And if you multiple 5×4 you get 20
can you help me with these problems i need them ASAP!!!!!!
Answer:look it up on quizlet its easier
Step-by-step explanation:
Which of the following is equivalent to 7a^4 + 3a^4?
(7+ 3)a^4
(7 + 3)a^4+4
(7 • 3)a^4+4
(7 • 3)a^4
what is the area pls
Answer: 66
Step-by-step explanation: 12x5=60
2x3=6
60+6=66
Where I is the intensity of a given sound and I0 is the threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when I = 10 Superscript 32 Baseline (I Subscript 0)?
Answer:
[tex]I(db)=320[/tex]
Step-by-step explanation:
Given
[tex]I(db)=10\log(\frac{I}{I_o})[/tex]
[tex]I = 10^{32}(I_o)[/tex]
Required
Determine [tex]I(dB)[/tex]
We have:
[tex]I(db)=10\log(\frac{I}{I_o})[/tex]
Substitute [tex]I = 10^8(I_o)[/tex]
[tex]I(db)=10\log(\frac{10^{32}(I_o)}{I_o})[/tex]
[tex]I(db)=10\log(10^{32})[/tex]
Apply law of logarithm
[tex]I(db)=10*32\log(10)[/tex]
[tex]\log(10) = 1[/tex]
So:
[tex]I(db)=10*32*1[/tex]
[tex]I(db)=320[/tex]
