Answer:
T(t) = f(t) + g(t)
Step-by-step explanation:
The function which represents the total amount of money Henri will have in t years is the function obtained using an addition operation in the two defied functions, f(t) and g(t) ; total amount saved in shoe box plus the total compounded amount in savings account
Total amount of money in t years, T(t) ;
T(t) = 120t + 1,500(1.09)^t
f(t) = 120t
g(t) = 1,500(1.09)^t
Hence,
T(t) = f(t) + g(t)
The equation y =f(x) is graphed on the coordinate plane. A function, g(x). is the result of translating the graph of fuxi to the left 2 units and up 4 units. Which is an equation for g(x)?
A)g(x)=f(x - 2)+4
B)g(x) = f(x + 2) + 4
C)g(x)=f(x-4)-2
D)g(x)=f(x + 4)-2
Answer:
A
Step-by-step explanation:
g
[tex]g(x) = f(x - 2) + 4[/tex]
A function assigns the value. The equation of the function g(x) will be f(x-2)+4.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given f(x) is a function which is shifted two units to the right and 4 units upwards. Therefore, in the function f(x) we need to add -2 to the value of the x for the function to move right, while we need to add 4 to the overall function to move it four units upwards.
Hence, the equation of the function g(x) will be f(x-2)+4.
Learn more about Function:
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Can someone pls help me with this? I got everything else I just don't really understand PI I know it's the last one because PI is approximately 22/7 can you just help me with the rest? It multiple choices too. Thank you soo much! 20 points!
Answer:
C, D, and E
Step-by-step explanation:
Answer: C, D and E are correct :D
Step-by-step explanation:
What is m∠1? help me please
Answer:
m∠1=111°
Step-by-step explanation:
Since angle 1 is an exterior angle on a straight line, it is the sum of the two outer angles of the triangle.
64+47=111.
what is the area of a square of 12 and four semicircles. Rounded to the nearest tenths place
Answer:
3.46
Step-by-step explanation:
plz can i get brainliest:)
Describe the graph of this inequality: 2x + 3 > 9
Answer:
Open circle at 3 going to the right.
Step-by-step explanation:
Let’s look at this.
first, let’s simplify the inequality. 2x +3-3>9-3
2x>6
x>3
since this is just a greater than or less than, it will be an open circle.
now that we have established that, we can see that x is BIGGER than 3. In that case, it will be an open circle at 3 going to the right.
What is the perimeter of the triangle
Answer:
it's 65 because if u count the inside of the boxes u get 65
Answer:
34
Step-by-step explanation:
to get the perimeter you add the side-A with Base-B and Side-C.
The base at the bottom is 10 and the two symmetrical sides is 12.
P= a + b + c
34= 12 + 10 + 12
write the quadratic equation whose roots are 3 and 1 and whose leading coefficient is 5
Answer:
Step-by-step explanation:
added the answe in the sreen shot below that fully explains it
You and your family go out for dinner. The bill is $146. There is 8.25% tax. Find the total price you will pay for dinner including tax.
Answer:
158.45
Step-by-step explanation:
Answer:
gYou and your family go out for dinner. The bill is $146. There is 8.25% tax. Find the total price you will pay for dinner including tax.
Step-by-step explanation:vYou and your family go out for dinner. The bill is $146. There is 8.25% tax. Find the total price you will pay for dinner including tax.
In chapter 1, we introduced several sampling methods: Simple random sample, stratified sampling, systematic sampling, and cluster sampling. All the sampling methods except for convenience sampling, allow for unbiased statistical inference to be made. Convenience sampling typically leads to an unrepresentative sample and biased results. In this week's discussion board, you are asked to design a sample that is representative of the population and unbiased. Scenario: A marketing executive for Coca- Cola, Inc. wants to identify television shows that people in the Seattle area who typically drink Coke are watching. The executive has a list of all households in the Seattle area. Task: You are asked to design a sample to obtain the individuals in the sample. Use the provided scenario to help the Coca-Cola executive identifying the television shows. Design a sample that meets the requirements we discussed in the previous chapter. You need to explain why did you choose this sampling method.
Answer:
For the coca-cola case, stratified sampling coupled with random sampling will be used.
Step-by-step explanation:
Before going into discussing the scenario, it is evident to discuss the properties of mentioned sampling methods. They are as follows:
Random sampling as the name indicates is purely by randomness. It is a sample in which each element of the population has an equal chance of coming on.
Systematic sampling is easier than random sampling. Here all the elements are arranged in an order and the kth element is considered after a specific interval.
Cluster Sampling is another type of sampling where the population is divided into groups probably on the basis of their geographical location and all the elements of the cluster are then used.
Stratified Sampling is a two-step sampling method where firstly the population is divided into strata, groups on basis of some characteristic, like gender, age, and then another sampling method as the random or systematic method is chosen to pick samples from each of these strata.
On the basis of properties presented and the scenario outlined, it is evident that the population will be divided into strata based on age, gender, profession, and education, and then a random sampling within each stratum is used for all the population of the Seattle area.
The graph of y=f(x) is shown below.which point could be used to find f(3).
-A
-B
-C
-D
Answer:
aa is the repuestos yes ok
Answer:
A
Step-by-step explanation:
Valeria already owns 147 necklaces, and additional necklaces are priced at 2 for a dollar. How
much money does Valeria need to spend on new necklaces in order to own a total of 477
necklaces? Write and solve an equation to find the answer
Answer:
$660
Step-by-step explanation:
Step 1
The number of extra necklaces that valeria needs is calculated as:
477 necklaces - 147 necklaces
= 330 necklaces
Step 2
We are told that
1 extra necklace cost $2
Hence
1 necklace = $2
330 necklaces = x
Cross Multiply
x = 330 × $2
x = $660
Therefore, Valeria need to spend and additional $660
What is the probability that you will get “heads” no more than once out of 3 flips?
P(0 successes) + P(1 success) =
Given:
Three coins are tossed.
To find:
The probability that you will get “heads” no more than once out of 3 flips.
Solution:
If three coins are tossed then the sample space is:
[tex]S=\{HHH,HTH,HHT,HTT,THH,TTH,THT,TTT\}[/tex]
Total possible outcomes = 8
Number of 0 successes means 0 heads in 3 flips, i.e., TTT.
Number of 1 successes means exactly 1 heads in 3 flips, i.e., HTT, THT, TTH.
Now,
[tex]P(0\text{ success})=\dfrac{1}{8}[/tex]
[tex]P(1\text{ success})=\dfrac{3}{8}[/tex]
And, their sum is:
[tex]P(0\text{ success})+P(1\text{ success})=\dfrac{1}{8}+\dfrac{3}{8}[/tex]
[tex]P(0\text{ success})+P(1\text{ success})=\dfrac{4}{8}[/tex]
[tex]P(0\text{ success})+P(1\text{ success})=\dfrac{1}{2}[/tex]
Therefore, the probability that you will get “heads” no more than once out of 3 flips is [tex]\dfrac{1}{2}[/tex].
1. A rocket is launched from the top of a 200-foot tall cliff with an initial velocity of 120 feet per second.
The height, h(t), of the rocket at time i seconds after it was launched can be modeled by the equation
h(t) = -16t^2 120t+ 200
a. What was the height of the rocket after 1 second?
b. What is the maximum height of the rocket?
c. How long did it take the rocket to reach its maximum height?
d. How long does it take the rocket to hit the ground?
Answer:
a. 304 feet
b. 425 feet
c. 3.75 seconds
d. It will take the rocket approximately 8.9 seconds to hit the ground
Step-by-step explanation:
1. The given data of the question including the question relationships are listed as follows;
The height of the cliff from which the rocket was launched = 200-ft.
The initial velocity of the rocket, u = 120 feet per second
The equation that models the height of the rocket with respect to time 't' is h(t) = -16·t² + 120·t + 200
a. The height of the rocket after 1 second is given by plugging in t = 1 in the equation that models the height as follows;
h(1) = -16 × (1)² + 120 × (1) + 200 = 304
The height of the rocket after 1 second, h(1) = 304 feet
b. The maximum height can be found by finding the value of the maximum point of the curve of the equation for the height as follows;
At the maximum point, h'(t) = d(-16·t² + 120·t + 200)/dt = 0
∴ d(-16·t² + 120·t + 200)/dt = -32·t + 120 = 0
t = 120/32 = 3.75
At the maximum point, t = 3.75 seconds
The maximum height can also be found by finding the vertex of the parabola formed by the height equation as follows;
At the vertex (the maximum point), t = -b/(2·a) = -120/(2 × (-16)) = 3.75
At the vertex (the maximum point), t = 3.75
The height at the maximum point = h(3.75) = -16 × (3.75)² + 120 × (3.75) + 200 = 425
The height at the maximum point, h(3.75) = 425 feet
c. The time it will take the rocket to reach the maximum point is given by the value of 't' at the maximum point, the vertex, which is t = -b/(2·a) = -120/(2 × (-16)) = 3.75
Therefore;
The time it takes the rocket to reach the maximum point, [tex]t_{max}[/tex] = 3.75 seconds
d. The time it takes the rocket to hit the ground (height h(t)) is given by finding the values of 't' that satisfy the height equation where h(t) = 0 as follows;
At the ground level, h(t) = 0 = -16·t² + 120·t + 200
Therefore, we get;
-16·t² + 120·t + 200 =
t = (-120 ± √(120² - 4×(-16) × 200))/(2 × (-16))
t ≈ 8.9 or t ≈ -1.4
Therefore, the time it takes the rocket to hit the ground is given by the natural number, t ≈ 8.9 seconds.
I need some help on this question
Answer:
Real numbers have two categories: rational and irrational. If a square root is not a perfect square, then it is considered an irrational number. These numbers cannot be written as a fraction because the decimal does not end.
Step-by-step explanation:
So as to say that irrational numbers can't be a squared root because of there decimals.
Gerard adds weight to the end of the hanging spring
shown.
The spring stretches to length of p centimeters. Gerard
removes some weight and the spring moves up by a
centimeters.
Answer:
p-(-Q)
Step-by-step explanation:
Because the thing goes down and i got it correct for that answer your welcome
Find the equation to the line below .
Answer:
y = 4x + 1
Step-by-step explanation:
y = mx + b
The line goes thru (0, 1) and (1, 5)
The slope = m = (5 - 1)/ 1 - 0) = 4/1 = 4
The y-intercept is (0, 1), so b = 1
y = 4x + 1 is the equation of the line
let f(x) =x2-10x-11. enter the x intercepts of the quadratic function in the boxes.
HELP ASP
A cylindrical soap dispenser has a
diameter of 3 inches and a height of 10
inches.
3 in.
10 in.
Which measurement is closest to the
total surface area of the dispenser in
square inches? (8.1A, 8.1B, 8.1C, 8.1E,
8.1F)
F 203 in.
G 108 in.
H 245 in 2
J
122 in.
Answer:
you can do this have a great day
Step-by-step explanation:
Evaluate the expression: (− 8)(15)(− 1/2)
Answer: 60
Step-by-step explanation:
Answer:60
Step-by-step explanation:
((−8)(15) (-1/2) =60
Answer this question to get marked as barinliest!!!!
Answer:
60 cubic inches
Step-by-step explanation:
first find the area of the right triangle then multiply by 10 in.
=> (3 × 4 ÷ 2) × 10
=> 60 in.³
good morning!! can someone help?!:)
Answer:
Option A. {-4, 2, 4}
Step-by-step explanation:
There is no other options because none of them are bigger than -5 except Option A.
A jar contains 20 marbles: 6 are brown, 2 are gray, 5 are black, and 7 are white. A black marble is removed and replaced before a gray one is removed.
Answer:
Yes
Step-by-step explanation:
What is the question we need to answer? We got the information
I’m having a hard time
Answer:
Its the third and fourth answer
What is the slope of the line that passes through the points (-5, 8) and (-11, 8)
Help please........................
Answer:
17r = 595 is the answer
Step-by-step explanation:
Answer:
A) 17r = 595 is the correct equation.
Step-by-step explanation:
We have to find the no. of rooms on each floor.
If there are 'r' rooms, and in 17 floors there are a total of 595 rooms,
We can represent it in the following equation:
17r = 595
r = 595/17
r = 35
∴ There are 35 rooms on each floor
Solve for x in the following equations: -8x -10y = -6 when y = 3
A) -3
B) -6
C) 4
D) -2
Answer:
x = - 3
Step-by-step explanation:
- 8x - 10(3) = - 6
- 8x - 30 = - 6
- 8x - 30 + 30 = - 6 + 30
- 8x = 24
- 8x ÷ - 8 = 24 ÷ - 8
x = - 3
Answer:
the answer is A -3
Step-by-step explanation:
-8x-10y=-6 when y=3
-8x-10(3)=-6
-8x-30=-6
-8x=-6+30
-8x=24
-8x÷8=24÷8
x=-3
can someone pls help me with this question
Answer:
6
Step-by-step explanation:
The x intercept is the value of x when y equals zero. The table tells us that when x goes up by one, y goes down by two.
Knowing this, all we have to do is increase x by 1 and decrease y by two until y is zero, and we can look and see what x is.
I also made a visual in the file below if this is confusing
I need help with this one
Answer:
the pic wont load
Step-by-step explanation: try and upload again
20 POINTS!!!!!! SOLVE FOR X
Answer:
All you have to do is equal the equations to each other to find x for each problem!
Step-by-step explanation:
Hope this helps bestieee!
A scientist claims that 6% of viruses are airborne. (a) If the scientist is accurate, what is the probability that the proportion of airborne viruses in a sample of 529 viruses would be greater than 8%? Round your answer to four decimal places.
Answer:
Probability that the proportion of airborne viruses in a sample of 529 viruses would be greater than 8% is 0.9545.
Step-by-step explanation:
For the given population the distribution of air-borne viruses is given as 6%. Now for this the value of Z score is given as
[tex]Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}[/tex]
Here
[tex]\hat{p}[/tex] is the sample measure which is 8% or 0.08p is the population measure which is 6% or 0.06n is the number of samples which is 529So the Z score is given as
[tex]Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}\\Z=\dfrac{0.08-0.06}{\sqrt{\dfrac{0.08(1-0.08)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.08(0.92)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.0736}{529}}}\\Z=\dfrac{0.02}{0.01179}\\Z=1.6955[/tex]
For this the score, the value of probability is calculated from the table as below:
[tex]P(\hat{p}>0.08)=p(Z>1.6955)\\=1-p(Z<-1.6955)[/tex]
Here value of p(Z<-1.6955) is given as 0.0455
[tex]P(\hat{p}>0.08)=p(Z>1.6955)\\P(\hat{p}>0.08)=1-p(Z<-1.6955)\\P(\hat{p}>0.08)=1-0.0455\\P(\hat{p}>0.08)=0.9545[/tex]