Answer:
Yes, time play a factor in his decision, because after 3 years, option a is better, but after 9 years, option b is better.
Step-by-step explanation:
The following information is missing:
Mr. Nicholson accepts a job that pays an annual salary of $60,000. In his employment contract, he is given the option of choosing a) an annual raise of $3,500 or b) an annual raise of 5% of his current salary.
The function that describes each situation is:
a) f(x) = 60,000 + 3,500*(x-1)
b) f(x) = 60,000*1.05^(x-1)
where x represents years and f(x) his salary.
Mr. Nicholson’s potential income for three years and nine years for each situation are:
a) f(3) = 60,000 + 3,500*(3-1) = $67,000
f(9) = 60,000 + 3,500*(9-1) = $88,000
b) f(3) = 60,000*1.05^(3-1) = $66,150
f(9) = 60,000*1.05^(9-1) = $88,647
What is the v-value of the vertex?
f(x) = (x + 2)^2 - 1
-value of the vertex:
Answer:
Okay, I don't know what a V-value is, but I can get the vertex coordinates...
Step-by-step explanation:
So, this is the basic formula for parabolas:
[tex]f(x)=a(x-h)^{2}+k[/tex]
Now, your equation is this form, and the vertex of parabola's in this context is:
[tex](h,k)[/tex]
So, therefore:
[tex](-2,-1)[/tex] <------ANSWER
Hopefully this is a good explanation!
Stay Safe!
Which of the following equations describes the graph?
y = -x2 - 2x + 1
y = x2 + 2x + 1
y = x2 – 2x + 1
y = x2 – X-1
Answer:
Which cone has a volume of 24 7 cm?
-
1
-
-
3.5 cm!
4.5 cm
1
6.5 cm
B = 25.4 cm
1
7/5 cmi
1
8 cm
3 cm
B = 42
Step-by-step explanation:
someone plz help!!! calculus, I have a picture below
Answer:
[tex] \frac{3}{\sqrt[5]{y^{3}}} [/tex]
Step-by-step explanation:
The following expression:
[tex] 3y^{-3/5} [/tex]
can be simplified as follows:
First, rewrite the negative exponent,
[tex] 3\frac{1}{y^{3/5}} [/tex]
[tex] \frac{3}{y^{3/5}} [/tex]
And then, rewrite the fraction in the exponent,
[tex] \frac{3}{\sqrt[5]{y^{3}}} [/tex]
help plzzzzzzzzzzzz
Answer:
a,b,d
Step-by-step explanation:
The legs of a right triangle measure 8 feet and 15 feet. What is the length of the hypotenuse?
Answer:
17
Step-by-step explanation:
Use the Pythogream theorm where c is the hypotenuse.
Answer:
17
Step-by-step explanation:
Using the Pythagory and Theroem
If 12 to 99 power - 12 to 97th power
Answer:
The question is a little confusing but I am going to assume that you want 12 to the 97th power and that is it.
Step-by-step explanation:
. 4.792707e+104 is the answer. I just put it in the calculator. But what you do us 12x12x12x12 and so on 97 times. Hope this helps!! Have a good day:-)
Answer:
Step-by-step explanation:
12⁹⁹ - 12⁹⁷ = 12⁹⁷⁺² - 12⁹⁷
= 12⁹⁷*12² - 12⁹⁷
= 12⁹⁷* [ 12² - 1]
= 12⁹⁷ * [ 144 - 1]
= 12⁹⁷ * 143
answer pls!! thank u
Answer: See below
Step-by-step explanation:
A linear line is a straight line. It can be going up, down, vertical, or horizontal. As long as it's a straight line, then it is a linear equation. Graph 1 and 5 are linear.
A quadratic graph is a parabola. It is in the shape of a "U". The "U" can be doing up or down. It can also be more than a parabola. Any x to th epower of a number is also a quadratic graph. Graph 2 and 4 are quadratic graphs.
An exponential graph is a graph that is a number to the power of x. These graphs are also continuous. They go towards infinity. Graph 3 and 6 are exponential.
PLEASEEE HELP !! in two the three sentences, explain how you would find the line of symmetry for the parabola whose equation is
y=x2+4x+16
Answer:
Axis of symmetry line is parallel to y- axis
Equation of the parabola ( x - ( -2 ))² = (y - 12 )
Step-by-step explanation:
Explanation:-
Given equation is y = x²+4 x+16
y = x²+2 (2 ) x + (2)² - (2)² + 16
y = ( x + 2 )² + 12
( x + 2 )² = y - 12
( x - ( -2 ))² = (y - 12 )
( x- h)² = 4 a ( y - k)
Center (h ,k) = ( -2 , 12)
Here 4 a = 1
a = 1/4
Focus S = ( h , K +a) = ( -2 , 12 + 0.25) = ( -2 , 12.25)
Axis of symmetry line is parallel to y- axis
Which function is the verse of f(x)=2x+3?
Answer:
Option B is correct
Step-by-step explanation:
A function has form of f(x) = 2x + 3, or y = 2x + 3
To find the inverse of f(x), we are going to represent x in form of y.
To do this, we try to send all components containing x to one side of expression and send the other components to the other side of expression.
Now, let's do it.
y = 2x + 3
We firstly send 3 to the right, change the sign of 3 from + to -, we have:
y - 3 = 2x
We then rearrange both sides to get a standard form:
2x = y - 3
We now divide both sides by 2 to get the expression of x:
(2/2)x = (y - 3)/2
We simplify both sides of expression to obtain final result:
x = (1/2)y - 3/2
=> Inverse of f(x) is x = (1/2)y - 3/2
=> Option B is correct
In a science experiment, the temperature of a sample increased 2/10 during the first hour. At the end of the second hour, the temperature increased another 6/10. What was the total temperature increase for the two hours? Write your answer in simplest form.
Answer:
idk
Step-by-step explanation:
sorry for no help
i only need number 4 and number 8
Answer:
4. (2√10 +2√17) units
8. 25/2 square units
Step-by-step explanation:
4. The length of JK is given by the distance formula ...
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((3-2)^2 +(6-3)^2) = √(1+9) = √10
The length of KL is given by the same formula:
d = √(4^2 +1^2) = √17
The perimeter is twice the sum of these lengths:
P = 2(JK +KL)
P = 2√10 +2√17
__
8. The area can be computed from coordinates* using the formula ...
A = (1/2)|x1(y2 -y3) +x2(y3 -y1) +x3(y1 -y2)|
A = (1/2)|3(4 -0) +7(0 -7) +4(7 -4)| = (1/2)|12 -49 +12|
A = 25/2 = 12.5 . . . . square units
_____
* One way to look at the problem is as a set of triangles and a trapezoid. The x-axis is the base of the right triangles with line PQ and PR as hypotenuses. The trapezoid is a right trapezoid with parallel bases extending from the x-axis to points Q and R.
The left triangle area is 1/2(1)(7) = 7/2; the right triangle area is 1/2(3)(4) = 6. The area of the trapezoid is 1/2(4+7)(4) = 22. The area of the triangle of interest is the difference ...
area PQR = trapezoid area - (sum of triangle areas) = 22 -19/2 = 25/2
__
If point P were not on the x-axis, then the figure could be resolved into 3 right trapezoids in similar fashion. If you were to use points (x1, y1), (x2, y2), and (x3, y3) instead of numerical values, you could obtain the formula shown above.
What is the measure of angle x in degrees?
50
100
200
180
Answer: a hunnid
Step-by-step explanation:
50 x 2= a hunnid
Answer:
100
Step-by-step explanation:
50x2=100 because it is 360 degrees
A charter bus service charges a flat fee of $175, plus $2.50 per mile (one-way distance) for a bus. If the band paid exactly $1875 for three buses, how far did the band travel?
Answer:
1875-(175*3)=1350
1350/(2.5*3)=180
The Band Travelled 180 Miles
Step-by-step explanation:
Take the flat fee and multiply for the 3 buses.
Then (based on the info given) take the cost of the miles per hour and multiply by 3
Take that number and divide 1350 by the cost per miles to determine the miles the band traveled
Find the volume of the prism. Round to the nearest tenth if necessary
Answer:
V = 204.7 cm³
Step-by-step explanation:
Pythagoras
h = √(6² - 3.5²)
= √(36 - 12.25)
= √23.75
= 4.87
≅ 4.9
A = Ab×H
= b×h/2 × H
= 7cm×4.9cm/2×12cm
= 204.7 cm³
Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequality that can be used to determine the number of songs that he can purchase. Interpret the solution.
Answer:
There is 20 dollars and the cost is 1.29. You need to have more money than the cost
To see if he can buy Y many songs
20 > 1.29 x Y
If you want how many songs
20/1.29=amount of songs
20/1.29 = 15.5
You round down because he cannot afford the full 16th song but can afford the 15th song fully so he can buy 15 songs
Hope this helps. If you have any questions you can ask
Step-by-step explanation:
Answer:
Sample response: If x represents the number of downloads, you can write the inequality 1.29x ≤ 20. Solving the inequality, you find that x is less than or equal to about 15.5. Since he can’t download part of a song, Joseph can download 15 or fewer songs.
Step-by-step explanation:
sample response for edg 2021
Javier used chalk to draw some shapes on the playground.
All of the shapes that Javier drew are parallelograms.
Some, but not all, of the shapes that Javier drew are rectangles.
Which statement must be true?
A All of Javier's shapes have 4 equal angles.
B Some, but not all, of Javier's shapes have perpendicular sides.
C Some, but not all, of Javier's shapes have 2 pairs of parallel sides.
D All of Javier's shapes have at least one angle greater than 90 degrees.
Step-by-step explanation:
option D is answer coz parallelograms and rectangles have the angle greater than 90°……
In the figure, if is the angle bisector of ∠SOT, find m∠QOT. answers : A) 46° B) 48° C) 38° D) 42°
Answer:
B
Step-by-step explanation:
Since QO is the bisector, that means that m∠SOQ = m∠QOT so we can write:
10x + 8 = 14x - 8
-4x + 8 = -8
-4x = -16
x = 4 which means that m∠QOT = 14x - 8 = 14(4) - 8 = 48°.
Evaluate the expression 6log6 1.5
Answer:
10.7332506947
Step-by-step explanation:
hope it helps !!
If I am wrong please let me know
WILL GIVE BRAINLIST AND THANKS AND 5 STARTS IF CORRECT WHAT IS X QUESTION IS ON SCREENSHOT
Answer:
1/4
Step-by-step explanation:
x + 1/2 = 3/4
Subtract 1/2 from both sides.
x = 1/4
help me out please once again
Answer:
C
Step-by-step explanation:
Use the pythagorean theorom
a^2 + b^2 = C^2
convert so it goes to the problem
c^2 - a^2 =b^2
10^2 - 5^ = 100 - 25 = 75
srt. 75 = 5 sqrt.3
Answer:
The hypotenuse = leg 1 + leg 2
Hypotenuse = 10
Leg 1 = 5
Leg 2 = ?
10^2 - 5^2 = x
100 - 25 = 75
Answer = sqrt of 75
Answer = C5 sqrt. 3Evaluate [(40+5)-3^2]+9x2
Answer:
54
Step-by-step explanation:
pemdas boo
Multiple chickens and rabbits are in a cage. There are 20 more chickens than rabbits and together, there are 256 legs in all. How many rabbits are there? Please explain
Answer:
c = −108 and r = 118
Step-by-step explanation:
Since we know that chickens have 2 legs and rabbits have 4 legs, we can set up a system of equations to solve the problem.
Let c be the number of chickens and r be the number of rabbits.
for legs, we can write the equation out in word form as:
(number of legs per chicken)(number of chickens) + (number of legs per rabbit)(number of rabbits) = (total number of rabbits)
In algebraic form, this equation would look like this:
2 c + 4 r = 256
20+r +r = 256
Now we can use elimination (or substitution) to solve for c and r:
The equation can be reduced by dividing both sides by 2:
c + 2 r = 128
Solve for r.
20+r +r = 256
2r = 236
2r/2 = 236/2
r = 118
Substitute and solve for c.
c + 2(118) = 128
c + 236 = 128
c = -108
The Jamison family kept a log of the distance they traveled during a trip, as
represented by the graph below.
(10,390)
(8.350)
Distance Traveled (miles)
(6.230)
(4.180)
(2,110)
(1.40)
Elapsed Time (hours)
During which interval was their average speed the greatest?
A. the first hour to the second hour
B. the second hour to the fourth hour
C. the sixth hour to the eighth hour
ОО
D. the eighth hour to the tenth hour
I’m not sure if it’s C could someone help
Answer:
swer:
Step-by-step explanation:
Here is the breakdown of the distance traveled each hour.
Hour 1: 40
Hour 2: 50
Hour 4: 70
Hour 6: 50
Hour 8: 120
Hour 10: 40
Seeing this, you can clearly see the most traveled was between the sixth and eighth hour (3).
Hope this helps!
Step-by-step explanation:
I need help on this.
Answer:
60 cubic centimeters
Step-by-step explanation:
There are 4 rows and 5 columns and it has a doubly thiccness
Volume is length x width x height, so when you do that here,
5 x 4 x 2 = 60 cubic centimeters
GIVING BRAINLIEST TO THE CORRECT ANSWER!!
Pls answer ASAP .
Answer:
1/20!
Step-by-step explanation:
This is a probability question.
There are 5 types of pasta and there are 4 types of flavors.
So the probability of getting bow tie is 1/5 and getting cheese sauce is 1/4
To get both, you need to multiply the types of pasta and flavor
1/20
a small rocket is shot from the edge of a cliff suppose that after t seconds the rocket is y meters above the cliff where y=30t-5t^2 what’s the greatest height the rocket reached? after how many seconds does the rocket reach its height? how far above the cliff edge is the rocket after 5 seconds? when is the rocket 40 meters above the cliff edge? where is the rocket after 7 seconds?
Answer:
Greatest height: 45 meters
Time for greatest height: 3 seconds
Height after 5 seconds: 25 meters above the cliff
Time for height of 40 meters: 7.123 seconds
Height after 7 seconds: -35 meters (35 meters below the cliff)
Step-by-step explanation:
to find the maximum height, we need to calculate the derivative of y in relation to t and then find when dy/dt = 0:
dy/dt = 30 - 10t = 0
10t = 30
t = 3 seconds
In this time, the height is:
y = 30*3 - 5*3^2 = 45 meters
After 5 seconds, the height is:
y = 30*5 - 5*5^2 = 25 meters
The time for the height of 40 meters is:
40 = 30t - 5t^2
t^2 - 6t - 8 = 0
Using Bhaskara's formula, we have:
Delta = 6^2 + 4*8 = 68
sqrt(Delta) = 8.246
t1 = (6 + 8.246) / 2 = 7.123 seconds
t2 = (6 - 8.246) / 2 = -1.123 seconds (negative value for time is not valid)
So the time when the rocket reaches 40 meters is 7.123 seconds
After 7 seconds, the height is:
y = 30*7 - 5*7^2 = -35 meters
The rocket will be 35 meters below the cliff.
The product of 67 and the numbers of weeks
Answer: the answer to that is 67n
Step-by-step explanation:
Answer: 641.19
Step-by-step explanation: So, I'm a little confused on the question... but I think I know what you're talking about. There are 7 days in a week...
67 ÷ 7 = 9.57
67 x 9.57 = 641.19
The product of 67 and the number of weeks is 641.19...
Please let me know if answered the question correctly!
Classify the following triangle. Check all that apply
Answer:
F. right angle is correct
Answer: The correct choices are D and F.
Step-by-step explanation:
There are two classifications of triangles shown.
Any triangle can only be two.
The first classification depends on the triangles' angles:
Acute triangles are triangles with three angles under 90 degrees.Right triangles are triangles with a right angle. Obtuse triangles are triangles with an obtuse angle.The second classification depends on the triangles' sides:
Equilateral triangles are triangles with three equal side lengths.Isosceles triangles are triangles with two equal side lengths. Scalene triangles are triangles with no equal side lengths.The triangle given has angles of 36, 54, and 90 degrees. 90 degrees is a right angle, so the triangle is a right triangle.
The triangle given has side lengths of 7, 5.1, and 8.66. No side lengths are equal, so the triangle is a scalene triangle.
The correct choices are D and F.
Which term best describes the set of all points in a plane for which the sum
of the distances to two fixed points equals a certain constant?
A. Ellipse
B. Parabola
C. Circle
D. Hyperbola
Answer:ellipse
Step-by-step explanation:
The term which describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant is Ellipse.
What is Circle?Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.
Conic sections are the two dimensional curves which are obtained by the intersection of the cone with the plane.
The four conic sections are ellipse, parabola, hyperbola and circle.
A circle has all the points equidistant from the center.
Ellipse is a one such plane where the curve includes the set of points for which the sum of the distances to two fixed points equals a certain constant which is called the focus.
Hence the correct option is ellipse.
Learn more about Conic Sections here :
https://brainly.com/question/29295448
#SPJ7
4 yd 2 ft = _____ ft. Explain how you knew how to solve the problem. *
2
Answer:
14 ft or 24 ft
Step-by-step explanation:
It is a unit of measurement conversion.
We have Yards (its abbreviation is yd) and Foot (where the standard symbol is ft)
Once there a 3 feet in a yard,
[tex]4 \text{ yd } 2 \text{ ft } = 12 + 2 \text{ ft } = 14 \text{ ft }[/tex]
State that I'm considering that this is a sum. Maybe it is a multiplication, so
[tex]12 \cdot2=24\text{ ft}[/tex]
