Answer:
y = -1 2/3x - 4
Step-by-step explanation:
y = mx + b
Replace numbers with the corresponding variables
6 = -5/3 * -6 + b
6 = 10 + b
-4 = b
y = -1 2/3x - 4
Let me know if something's wrong :)
what is 64x64? and I know if you use a calculator =)
Answer:
4096
Step-by-step explanation:
If the sum of first 7 terms of an A.P is 49 and the sum of first 17 terms is 289 find the sum of first 30 term
Sum of first 7 terms of an AP = 49.
Sum of first 17 terms = 289
Find:the sum of first 30 term
Solution:We know that,
Sum of first n terms of an AP – S(n) = n/2 * [ 2a + (n - 1)d ]
Hence,
→ 7/2 * [ 2a + (7 - 1)d ] = 49
→ 2a + 6d = 49 * 2/7
→ 2( a + 3d ) = 14
→ a + 3d = 14/2
→ a + 3d = 7 -- equation (1)
Similarly,
→ 17/2 * [ 2a + 16d ] = 289
→ 17/2 * 2 * (a + 8d) = 289
→ a + 8d = 289 * 2/17 * 1/2
→ a + 8d = 17 -- equation (2)
Subtract equation (1) from (2).
→ a + 8d - (a + 3d) = 17 - 7
→ a + 8d - a - 3d = 10
→ 5d = 10
→ d = 10/5
→ d = 2
Substitute the value of d in equation (1).
→ a + 3 * 2 = 7
→ a = 7 - 6
→ a = 1
Now,
Sum of first 30 terms = 30/2 * [ 2(1) + (30 - 1)(2) ]
→ S(30) = 15 (2 + 58)
→ S(30) = 15 * 60
→ S(30) = 900
Therefore, the sum of first 30 terms of the given AP is 900.
I hope it will help you.
Regards.
answer refer in pic siso
help ASAP please will give BRAINLIEST
A car goes from 16 m/s to 2 m/s in 3.5 s. What is the car’s acceleration? SHOW WORK
Answer:
acceleration = -4m/s^2
Step-by-step explanation:
Aceleration = (Final speed - Initial speed)/time
In this case, acceletarion = (2 - 16)/3.5 = -14/3.5 = -4
acceleration = -4m/s^2
Find x and y. Give reasons to justify your solution.
Answer:
122
Step-by-step explanation:
What is the price of one cookie?
Answer:
$3 for one cookie
Step-by-step explanation:
Divide 18 by 6
In 2019-2020, North Carolina spent $10,632 per student. The per-pupil spending has decreased at 6% per year. If this continues, what will be the per-pupil spending in 4 years?
Answer:
The per-pupil spending will be approximate $8,300 in 4 years
Step-by-step explanation:
Exponential Model
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the current quantity.
An exponential decaying function is expressed as:
[tex]C(t)=C_o\cdot(1-r)^t[/tex]
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The statistics of the years 2019-2020 at North Carolina indicate initial spending of Co=10,632 per student. The decaying rate is r=6% = 0.06 per year, thus the exponential model is:
[tex]C(t)=10,632\cdot(1-0.06)^t[/tex]
[tex]C(t)=10,632\cdot(0.94)^t[/tex]
where t is expressed in years.
We are required to know the expected spending for t= 4 years. Substitute t=4:
[tex]C(t)=10,632\cdot(0.94)^4\approx 8,300[/tex]
The per-pupil spending will be approximate $8,300 in 4 years
can you help me please with my homework
Olivia and her family are planning a vacation that involves water skiing. Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 an hour to rent the boat.
Complete the table to determine the total cost for 1, 2, 3, and 4 hours.
Answer:
Step-by-step explanation:
Let the number of hours used to rent the boat be represented by h.
Since Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 for every hour used, the expression to calculate the cost for hours used will be:
= $20.50 + $12.25h
where h = number of hours used.
The cost for 1 hour will be:
= $20.50 + $12.25h
= $20.50 + $12.25(1)
= $20.50 + $12.25
= $32.75
The cost for 2 hours will be:
= $20.50 + $12.25(2)
= $20.50 + $24.50
= $45
The cost for 3 hours will be:
= $20.50 + $12.25h
= $20.50 + $12.25(3)
= $20.50 + $36.75
= $57.25
The cost for 4 hours will be:
= $20.50 + $12.25h
= $20.50 + $12.25(4)
= $20.50 + $49
= $69.50
=
Which graph represents this system?
2x-5--5
y-3x+1
can't see the graphs....
please edit the picture if u can.
At a local store, bananas cost 0.54 per pound , apples cost 2.19 per pound , and oranges cost 1.55 per pound . Aaron bought 3 pounds of each how much money did Aaron pay for his fruit
$0.54 x 2.6 =$1.404
$1.28 x 3.1=$3.968
$1.404 rounds to $1.40
$3.968 rounds to $4
$4 = $ 1.40 = $5.40
:)
Answer:
$12.84
Step-by-step explanation:
to solve this you will just have to multiply the given prices by the three pounds and then add up all the fruits:
0.54 x 3 = 1.62
2.19 x 3= 6.57
1.55 x 3= 4.65
1.62 + 6.57 + 4.65 = 12.84
Courtney walks 3 laps around a 3-mile track. [1 mile is 5280 feet]. How far does she walk?
Answer:
9 miles, or 47520 feet :)
Step-by-step explanation:
Answer:
47520
Step-by-step explanation:
3x3=9
5280*9=47520
The lowest temperature ever recorded on Earth was $-89.2\degree\text{C}$ at Soviet Vostok Station in Antarctica. The highest temperature ever recorded was $56.7\degree\text{C}$ at Greenland Ranch in California. What is the difference between the highest and lowest recorded temperatures?
Answer:
145.9°C
Step-by-step explanation:
Given that :
Lowest temperature recorded (Soviet Vostock station Antarctica) = - 89.2°C
Highest temperature recorded (Greenland Ranch California) = 56.7°C
Difference between the highest and lowest recorded temperature :
(Highest temperature - lowest temperature)
(56.7°C - (-89.2°C))
= 56.7°C + 89.2°C
= 145.9°C
help asap please click the image to find the question
Answer:33
Step-by-step explanation: You do what's inside the parenthesis first then you divide the number by 6 and lastly you add 5squared which is 25 to the quotient.
What is the slope of the given lines?
Answer:
hey theres no image?? maybe comment on this so i can help you answer it :)
A square with sides of length eight units, sits on a graph with its lower left hand corner at the origin (0,0). This square is translated five units up, and seven units left. What are the coordinates of the upper right hand corner after translation? Explain.
PLEASE HELP ME ON THIS QUESTION. I don’t understand. Only answer if you know because you will receive consequences with monitor.
Answer:
The coordinates of the upper right hand corner after translation is (1, 13)
Step-by-step explanation:
Let us revise the rules of translation
If the point (x , y) translated horizontally to the right by h units then its image is (x + h , y) ⇒ T (x , y) → (x + h , y) If the point (x , y) translated horizontally to the left by h units then its image is (x - h , y) ⇒ T (x , y) → (x - h , y) If the point (x , y) translated vertically up by k units then its image is (x , y + k)→ (x + h , y) ⇒ T (x , y) → (x , y + k) If the point (x , y) translated vertically down by k units then its image is (x , y - k) ⇒ T (x , y) → (x , y - k)At first let us find the upper right hand corner of the square
∵ Its lower left hand corner at the origin (0,0)
∵ The length of each side of the square is 8 units
→ To find lower right hand corner add 8 to the x-coordinate of the
lower left hand corner
∴ The lower right hand corner = (0 + 8, 0)
∴ The lower right hand corner = (8, 0)
→ To find upper right hand corner add 8 to the y-coordinate of the
lower right hand corner
∴ The upper right hand corner = (8, 0 + 8)
∴ The upper right hand corner = (8, 8)
Now Let us find the image of this corner after translation
∵ This square is translated five units up
→ Use the 3rd rule above
∴ Add 5 to the y-coordinate of the point (8, 8)
∴ Its image = (8, 8 + 5)
∴ Its image = (8, 13)
∵ The square is translated seven units left
→ Use the 2nd rule above
∴ Subtract 7 from the x-coordinate of the point (8, 13)
∴ Its image = (8 - 7, 13)
∴ Its image = (1, 13)
The coordinates of the upper right hand corner after translation is (1, 13)
I need help please it’s due in a couple of minutes
Answer:
1. 16=v top left
2. n=5.8 bottom left
3. n= -31.9 top right
4. b= 6 . bottom right
If I am wrong I am sorry
HELP !!
To find the measure of zA in triangle ABC, use the ____. To find the length of the side HI in triangle HIG, use the ____.
First blank:
1. Pythagorean theorem
2. Law of sines
3. Law of cosines
Second blank:
1.Pythagorean theorem
2. Law of sines
3. Law of cosines
Answer:
blank A->(Law of cosines)
blank B->(Pythagorean theorem/theory)
Step-by-step explanation:
Reason to get the correct measurement's of angles in a figure you must apply Cosines or Law of Cosines(same thing) which simply means angle edges
and to get the measurements of the angles length use the Pythagorean theorem which is (a²+b²=c²)
Hope I was helpful in any way thanks and sorryAnswer:
First drop down menu answer is Option 3
Second drop down menu is Option 1
Step-by-step explanation:
Triangle A″B″C″ is formed using the translation (x + 0, y + 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between segment AC and segment A double prime C double prime? coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3 segment AC over segment A double prime C double prime = 2 segment A double prime C double prime over segment AC = one half segment AC = segment A double prime C double prime over 2
Answer:
segment AC is equal to A''B'' over 2
Step-by-step explanation:
Given that,
Scale factor = 2
The coordinates of A is (-3,3)
The coordinates of B is (1,-3)
The coordinates of C is (-3,3)
We know that, the ratio of length of new segment to the length of segment of original figure is called scale factor.
So.
[tex]\dfrac{A''B''}{AC}=2\\\\\text{On cross multiplying,}\\\\AC=\dfrac{A''B''}{2}[/tex]
It means, segment AC is equal to A''B'' over 2 is the correct answer.
Solve for x:
14x - 8 = (-10) - 10x
Answer:
x= -1/12
Step-by-step explanation:
Raul has 50 coupon books to sell.
The total amount of money Raul will make from selling X coupon books is represented by a function.
f(x)=20x
What is the practical domain of the function?
Answer: Domain: {x : 0≤ x ≤50 }
Step-by-step explanation:
Given: The total amount of money Raul will make from selling X coupon books is represented by a function.
[tex]f(x)=20x[/tex]
Domain is the set of x values in a function for which it is defined.Here, X= Number of coupon books .
Raul has 50 coupon books to sell.
So, 0≤ x ≤50 , as it is possible that non of that book will sell.
Hence, Domain: {x : 0≤ x ≤50 }
For addition, drag tiles onto the board.
To form a group, place one tile on top of another.
-5(-2) =
Answer:
I think the answer you are looking for is 10.
Step-by-step explanation:
-5 x -2 = 10
What is the equation of the line that passes through the point (-5,6) and has a slope of 0
The equation of the line that passes through the point (-5,6) and has a slope of 0 is y = 6
Equations are expressions that related two or more expressions together using an equal sign.
The formula for finding the equation of a line in point-slope form is expressed as:
y-y0 = m(x-x0) where:
m is the slope(x0, y0) is the interceptGiven the following
m = 0
(x0, y0) = (-5, 6)
Substitute the given values into the formula
y - 6 = 0 (x - (-5))
y - 6 = 0 (x + 5)
y - 6 = 0
y = 6
Hence the equation of the line that passes through the point (-5,6) and has a slope of 0 is y = 6
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PLZZZZZZ HELP MEEEEE? Simplify l -10l-l8l+4 A.7 B.4 C.5 D.6
Answer:
D. 6
Step-by-step explanation:
Simplify: 10 - 8 + 410 - 8 = 2Plug 2 in: 2 + 42 + 4 = 6I hope this helps!
Solve the equation.
8 - 2x = -8x + 14
O x= -1
O x=
5
3
O x
O x= 1
Answer:
x = 1
Step-by-step explanation:
8 - 2x = -8x + 14
-2x + 8x = 14 - 8
6x = 6
x = 1
x=1 is the solution of the equation 8 - 2x = -8x + 14
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 8 - 2x = -8x + 14
x is the variable in the equation
Plus and minus are the operators
We have to solve for x
Take the variable terms one side and constants on other side
8x-2x=14-8
6x=6
Divide both sides by 6
x=1
Hence, x=1 is the solution of the equation 8 - 2x = -8x + 14
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Tomas and Kyle each bought a shirt at the school store. Tomas gave the cashier a $20 bill and received $6.15 in change. Kyle gave the cashier a $10 bill and received $1.06 in change. Which statement about the cost of the shirts is true? Tomas's shirt costs $5.09 more than Kyle's shirt. Kyle's shirt costs $5.09 more than Tomas's shirt. Tomas's shirt costs $4.91 more than Kyle's shirt. Kyle's shirt costs $4.91 more than Tomas's shirt.
Answer:
The answer is C
Step-by-step explanation:
I took the test
Answer:
It is C
Step-by-step explanation:
The art class lasts 90 minutes. The teacher explains the project for 25 minutes and allows 15 minutes for questions and discussion. He talks to each student about their project for 5 minutes and then all of the class time is used up. Write and evaluate the expression that shows how many students are in the class.
Answer:
dunno if you still need this but the answer is (90-25-15)÷5
Step-by-step explanation:
Arturo is driving to a hotel. After 3 hours of driving, he is 135 miles from home. After 5 hours of driving, he is 225 miles
from home. Arturo graphs his distance with respect to time as a line. What is the slope of the line?
Respect to time as a line. What is the slope of line?
Please help !
Answer:
it is C
Step-by-step explanation:
i took all the test and got a hundred
if we graph his distance with respect to time as a line then slope of line is 45.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Arturo after 3 hours of driving is 135 miles from home. After 5 hours of driving, he is 225 miles
from home
Let the two points are (3, 135) and (5,225)
m=225-135/5-3
=90/2
=45
Hence, if we graph his distance with respect to time as a line then slope of line is 45.
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Michael rents a car for one day. The charge is $30 plus the $0.12 per mile. He wants to spend exactly $105. How many miles can he drive?
Answer:
He can drive 625 miles
Step-by-step explanation:
Total spent: $105
$105- $30 charge = $75
$75/$0.12 per mile charge
= 625 Miles
Corey is 6 feet tall. There are 2.54 centimeters in 1 inch. What is corey’s height in centimeters
Answer:
He is 182.88 cm tall
Step-by-step explanation:
6×12= 72
72×2.54= 182.88
What value is missing from the table?
Answer:
12
Step-by-step explanation:
15/1.25 is 12
Answer:
12
Step-by-step explanation: