Answer:
the correct answer is a one
The equation i.e. true is Option b) V(t)−V(t+1)=1.025.
Calculation of an equationSince The value, V, in dollars, of Ian's account after T years could be modeled via the exponential function V(t)=5000(1.025)t. So for claiming that the value of the bank account should be grown at the equal factor at each year so fir this, the option b is considered.
Therefore, The equation i.e. true is Option b) V(t)−V(t+1)=1.025.
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Consider that 620(1.082)x models the average annual health care costs per person, in dollars, as a function of the number of years since 1950.
Answer:
I guess that you want to calculate the difference between the annual healt care costs in 1950 and today.
The equation is:
C(x) = $620*(1.082)^x
in 1950, we have x = 0 (because is the initial year)
then the cost is:
C(0) = $620*1 = $620.
Now, today, in 2020, we have:
x = 2020 - 1950 = 70
then we have:
C(70) = $620*(1.082)^70 = $154,276.7
So, according to this equation, te difference is:
$154,276.7 - $620 = $153,656.6
How many cubic inches in a box that is 2" by 3" by 5"
Answer:
30 in^3
Step-by-step explanation:
5 x 3= 15 x 2= 30
Answer:
30 in³
Step-by-step explanation:
V = 2in×3in×5in
= 6in²×5in
= 30 in³
Can someone please answer this question for me please
PLZZZZZZZZZZZ ANSWER QUICK PWEASE
Answer:
z = -9.5
Step-by-step explanation:
Well to get rid of the 2 in the following expression,
[tex]-4.75 = \frac{z}{2}[/tex]
We multiply everything by 2.
-4.75 * 2 = -9.5
z * 2 = 2
-9.5 = z
1 kilogram
One ratio you could use for converting units is
1,000 grams
A. True
O B. False
Answer:
True
Step-by-step explanation:
For every kilogram, there are 1000 grams
Explain the procedure (but don't create the graph) for graphing the quadratic function in factored form f(x) = (x - 2)(x + 4) using pencil and paper. Explain the entire process. pleaaassseee help mee.
Answer: You will need to find the x-intercepts and the vertex
Step-by-step explanation: Use the information in the factors and some formulae.
The x- intercepts are the points where the parabola crosses the x-axis. The x-axis is where y = 0
Set each factor equal to 0 and solve:
x-2=0, so x = +2 and x +4 = 0, so x = -4 (you would plot these if creating the graph)
To find the vertex you need the Vertex Formula: x = -b/2a
b is the coefficient of the x term in the middle of the quadratic equation; you can just do the O and I parts of FOIL to get b: -2x + 4x = 2x You know a = 1 because x² will have the implied (missing)(1).
Put the numbers in the Formula: x = -b/2a x = -(2)/2(1) -2/2 = -1
-1 is the "x-value" of the vertex.
The y value is the 'c' in the quadratic formula. You get that from the L part of FOIL -2 × 4 = -8 .
So, your coordinates for the vertex: ( -1, -8 )
If you were creating a graph, you would plot that point, then draw the parabola starting there and through the x-intercepts.
HURRY ASAP PLZZZZ ANYONE???? There are 25 towns in a certain country, and every pair of them is connected by a train route. How many train routes are there?
Answer:
25 train routes
Step-by-step explanation:
The train routes go from 1-2, 2-3, 3-4, 4-5, ,and so on, but there is also one that goes from 25-1. If you notice, there when we get to 4-5, there are 4 train routes which means that if there are 25 towns, then there are 24 train routes, but since 25 and 1 are connected then there are 25 routes. Hope this helps!
Answer:
300
Step-by-step explanation:
25·24/2=300
If one quart of paint is exactly enough for two coats of paint on a 9-foot by 10-foot wall, how many quarts of paint are needed to apply one coat of paint to a 10-foot by 12-foot wall? Express your answer as a common fraction
Answer:
2/3 of a quart
Step-by-step explanation:
2 coats on a 9X10=1 coat on a 18X10. Since 18X10 is 1.5 times 12X10, the 12X10 will need 2/3 of the paint
Answer:
2/3 quart
Step-by-step explanation:
The 10 by 12 ft wall has an area of 120 ft^2. The 9 by 10 ft wall has an area of 90 ft^2.
Thus, the following equation of ratios provides us with the answer:
90 (1/2)
--------- = -----------
120 x
or 3/4 = 1/(2x), or
6x = 4. Thus, x = 4/6 or 2/3.
2/3 of a quart would be enough for one coat on the 10 by 12 ft wall. Note that only 1/2 of a quart would suffice for one coat on a 9 by 10 ft wall (for comparison).
In a right triangle the length of a hypotenuse is c and the length of one leg is a. Find the length of the other leg, if c=6, a=5
Answer:
3
Step-by-step explanation:
6^2=5^2+b^2
36=25+b
36-25=b
B= square root of 9
B= 3
Answer:
3
Step-by-step explanation:
f(x) = x2. What is g(x)?
g(x).
5
-(1.4)
f(x)
-5
5
-5
Answer:
Step-by-step explanation:
– P2(0) = f(0) ⇒ c = f(0).
– P
0
2
(0) = f
0
(0), P0
2
(x) = 2ax + b ⇒ b = f
0
(0).
– P
00
2
(0) = f
00(0), P00
2
(x) = 2a ⇒ a =
f
00(0)
2
.
• So, we should take P2(x) = f
00(0)
2
x
2 + f
0
(0)x + f(0).
A rectangle is twice as long as it is wide, and has a perimeter of 48 inches, what is the area of the rectangle?
Answer:
128 inches²Step-by-step explanation:
P = 2w + 2l
l = 2w
48 = 2w + 2×2w
48 = 2w + 4w
48 = 6w
w = 48 : 6
w = 8 inches
l = 2w
l = 2×8inches
l = 16 inches
A = w×l
= 8in × 16in
= 128 inches²
Divide (x3 − 2x2 − 4) by (x − 3). The remainder is
Answer:
5
Step-by-step explanation:
Please help! Will mark as brainliest!
Answer:
C
Step-by-step explanation:
Use elimination by multiplying thw whole top equation by 2. (both sides)
then cancel out y and solve for x. plug back in to get y
please mark brainliest if you found this helpful
Use exact numbers. Complete the equation of the line through ( 2 , 1 ) (2,1)left parenthesis, 2, comma, 1, right parenthesis and ( 5 , − 8 ) (5,−8)left parenthesis, 5, comma, minus, 8, right parenthesis.
Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)
m = [tex]\frac{-8-1}{5-2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 1) , then
1 = - 6 + c ⇒ c = 1 + 6 = 7
y = - 3x + 7 ← equation of line
Answer:
y - 1 = -3(x - 2)
Step-by-step explanation:
Sounds as though you want the equation of the line through (2, 1) and (5, -8).
As we move from (2, 1) to (5, -8), x (the "run") increases by 3 and y (the "rise") decreases by 9. Thus, the slope of this line is m = rise / run = -9/3, or m = -3.
Let's use the point-slope formula for a straight line here: The point (h, k) is (2, 1) and the slope is -3. Then y - k = m(x - h) becomes:
y - 1 = -3(x - 2)
Please help! Given the figure below, what is the value of x?
Answer:
Step-by-step explanation:
95 + 120 + 120 + 125 + x + x + 84 =720
--> x = 88
Answer:
[tex]x=88[/tex]
what is the sum of 13=m+21
Answer:
8
Step-by-step explanation:
21-13=8
m=8
Answer:
m= -8
Step-by-step explanation:
13= m+21
-21 -21
subtract 21 from both sides to get "m" alone
-8=m
Find the equation of the line with slope m= 1/5
that contains the point (-10, 5).
Answer:
y = 1/5x +7
Step-by-step explanation:
The equation of a line is given by
y = mx+b where m is the slope and b is the y intercept
y =1/5 x + b
Substitute the point into the equation
5 = 1/5 (-10) +b
5 = -2 +b
Add 2 to each side
7 = b
y = 1/5x +7
In professional baseball, each team plays 160 games. After playing half their games, team A has won 60 and team B has won 49. If team A wins half of its remaining games, how many of its remaining games must team B win to have the same number of wins as team A?
Answer:
61 wins
Step-by-step explanation:
60 + 1/2*100=110 wins (team A)
110-49=61
Team B needs to win 61 more games to have the same number of wins as team A.
You want to distribute 7 candies to 4 kids. If every kid must receive at least one candy, in how many ways can you do this?
Answer:
15
Step-by-step explanation:
lets begin to set up this question. i personally find questions like these easiest when i begin to set up ideas to help my brain process it better, for example:
person a
person b
person c
person d
we know that each (person) must receive at least 1 candy. we also know that we have 7 candies. therefore if we want do draw this out :
person a- 1
person b- 1
person c- 1
person d -1
notice that we now have given away 4 of the 7 candies. now we have 3 candies left. we can simply:
person a- 2
person b-2
person c-2
person d- 1
but, keep in mind that there are still many more ways that we can distribute the candies to other kids. the question we are asked is how may ways can we do this. since i have already illustrated the question, you can either learn how to put this into an equation, or experiment how many variations there are. the answer, either way is 15.
A doctor prescribes 500 milligrams of a therapeutic drug that decays by about 19% each hour.
a) To the nearest minute, what is the half-life of the drug?
b)
Write an exponential model representing the amount of the drug remaining in the patient's
system after t hours. (2 points)
c)
Use your formula to find the amount of drug that would remain in the patient's system after 24
hours. Round your answer to the nearest hundredth of a gram. (2 points)
Answer:
a) half life is 3h 17 minutes
b) function of residue drug after t hours with initial quantity = 500 mg
f(t) = 500 (0.81^t)
c) drug left in patient's system after 24 hours
= 0.00 grams (to the hundredth of a gram.
Step-by-step explanation:
Given:
Drug initial active weight, A = 500 mg
Residue active weight, f(t) = A 0.81^t
t = time in hours.
a) half life
Half life is T, such that f(T) = 0.5A =>
0.5A = A(0.81^t)
0.81^t = 0.5
t*log(0.81) = log(0.5)
t = log(0.5) / log(0.81) = -0.6931 / -0.2107 = 3.2894 hours
= 3 h 17.36 minutes
b) Equation of function of residue drug as a function of time t in hours
A=500 mg
f(t) = A(0.81^t) substitute A = 500 mg
= 500(0.81^t) mg
c) weight of residue drug after 24 hours to the hundredth of a gram.
t=24 hours
A=500
f(t) = 500(0.81^t) substitute t=24 hours
= 500(0.81^24)
= 3.181 mg
= 0.003181 g
HELP PLZ!
On a coordinate plane, the green triangle is rotated 90 degrees to form the blue triangle. Triangle Q R S is rotated 180 degrees to form triangle J K L. Use the graph to complete the statements. The green triangle is rotated degrees to form the blue triangle. Triangle QRS is rotated degrees to form the image triangle JKL.
Answer:
The green triangle is rotated
✔ 90
degrees to form the blue triangle.
Triangle QRS is rotated
✔ 180
degrees to form the image triangle JKL.
Step-by-step explanation:
have a nice day because I said so but mostly because you want to
The green triangle is rotated 90 degrees to form the blue triangle. And ΔQRS is rotated 180 degrees to form the image of ΔJKL.
What is coordinate plane?" Coordinate plane is also known as cartesian plane in two dimensional , which is represented by intersection of two axis at 90°, the horizontal axis is known as x-axis and vertical axis is known as y-axis."
According to the given question,
Here all triangles are right angled triangle.
All triangles are perpendicular to the respective axis as per diagram.
Rotation of triangle on coordinate plane from one axis to another forms 90°.
Hence, we conclude that the green triangle is rotated 90 degrees to form the blue triangle. And ΔQRS is rotated 180 degrees to form the image of ΔJKL.
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Find the inverse of the function.
f(x) = x ^3 + 8
Answer:
The inverse of the function is
[tex] \sqrt[3]{x - 8} [/tex]
Step-by-step explanation:
To find the inverse of the function we equate f(x) to y
That's
f(x) = y
So we have
[tex]y = {x}^{3} + 8[/tex]
Next interchange the terms x becomes y and y becomes x
That's
[tex] x = {y}^{3} + 8[/tex]
Next make y the subject
That's
[tex] {y}^{3} = x - 8 \\ \\ y = \sqrt[3]{x - 8} [/tex]
Hope this helps you.
Solve for b. -11b+7 = 40−11b+7=40
pls answer
Answer:
b = - 3Step-by-step explanation:
-11b+7 = 40
Group like terms
That's
- 11b = 40 - 7
- 11b = 33
Divide both sides by - 11
That's
[tex] \frac{ - 11b}{ - 11} = \frac{33}{ - 11} [/tex]
b = - 3Hope this helps you
Answer:
-3
Step-by-step explanation:
I put this answer and got it correct on Khan
URGENT!!! Please answer ASAP with full working out thank you
Step-by-step explanation:
[tex]a)
\\ \frac{a}{x - 1} - \frac{2}{x + 1} = \frac{4}{(x - 1)(x + 1)} \\ \\ \frac{a(x + 1) - 2(x - 1)}{(x - 1)(x + 1)} = \frac{4}{(x - 1)(x + 1)} \\ \\ a(x + 1) - 2x + 2 = 4 \\ \\ a(x + 1) = 4 + 2x - 2 \\ \\ a(x + 1) = 2x + 2 \\ \\ a (x + 1) = 2(x + 1) \\ \\ a= \frac{2(x + 1)}{(x + 1)} \\ \\ \huge \red{ \boxed{a = 2}}[/tex]
Solve b part yourself in the same way.
Yu Min made brownies for school. After cutting the brownies into equal pieces, Yu Min gave 4 to her brother, and she split the remaining brownies with her mathematics teacher and her art teacher. If she had 24 brownies, how many brownies did each of the 2 teachers receive?
Answer:
10 brownies.
Step-by-step explanation:
First, subtract 4 from 24 bc she gave 4 to her bro. So she has 20 brownie pieces left. Then do 20/2=10. Therfore, the math and art teacher both get 10 brownies.
Answer:
10 for each teacher
Step-by-step explanation:
1. She gave 4 brownies to her brother which is 24-4=20
2. There were 2 teachers, the art and mathematics and both got the same amount so 20 divided 2
3. 20 divided 2 equals 10
so therefore each of the 2 teachers will get 10 brownies each
Choose the different ways that a graph can be misleading.
The y -axis starts at zero and uses consistent intervals.
The y -axis starts at zero but has different intervals.
Different bar widths are used on the same graph.
The y -axis doesn't start at zero.
Different bar heights are used on the same graph.
The intervals on the y -axis are too large.
Answer:
i. The y -axis starts at zero but has different intervals.
ii. Different bar widths are used on the same graph.
iii. The y -axis doesn't start at zero.
Step-by-step explanation:
A graph is a plot showing accurate representation and presentation of correlation among variables of a given data. It is a tool that can be used to summarize all information about a given data for easy understanding and deductions.
A misleading graph is one that has an inappropriate representation of data, thus a wrong conclusion would be deduced or obtained from this type of graph. Misleading graph is majorly due to inconsistency, and errors in plot (axis or scale used).
Answer:
The y-axis doesn't start at zero.
The intervals on the y-axis are too large.
Different bar widths are used on the same graph.
The y-axis starts at zero but has different intervals.
Step-by-step explanation:
I have this lesson on Odyessyware
Please mark brainliest if this helps.
identify the value of x HELP ASAP
a) x=32
b) x=4
c) x=2
d) x=16
What is the range of possible sizes for side x? PLEASE HELP
3. A communications tower is 35 m tall. From a point due
north of the tower, Tannis measures the angle of elevation of
the top of the tower as 70°. Her brother Leif, who is due east
of the tower, measures the angle of elevation of the top of the
tower as 50°. How far apart are the students to the nearest
metre?
110
Answer:
BT = 12.73
LT = 32m
Step-by-step explanation:
Answer:
Hey there! The answer to your question will be at the bottom I also attached a picture for you...
Step-by-step explanation:
Answer:
The answer should be about 32m
Hope that helps!
By: xBrainly
A card player selects a playing card from a well-shuffled deck of standard playing cards and sees if the card is a red card or not. He keeps the card, and then makes another selection and sees if the card is a red card or not. He continues this process 10 times and counts the total number of red cards that he selects. Is this a binomial random variable? A. no since the total number of red cards in the deck is unknown at the start of the experiment B. no, since probabilities of drawing red cards do not remain the same from trial to trial C. yes since red cards are successes and he is counting the number of red cards drawn D. yes since a red card is a success and every other card is a failure
Answer:
A
Step-by-step explanation:
there could be no red cards inside
A binomial random variable is no since the total number of red cards in the deck is unknown at the start of the experiment.
We have to determine whether the card player selects a playing card from a well-shuffled deck of standard playing cards and sees if the card is a red card or not.
He keeps the card, and then makes another selection and sees if the card is a red card or not.
What is the probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
He continues this process 10 times and counts the total number of red cards that he selects.
We have to determine if it Is a binomial random variable.
There could be no red cards inside.
Therefore, A binomial random variable is no since the total number of red cards in the deck is unknown at the start of the experiment.
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