Suppose your car has hhh liters of engine oil in the morning. During the day, some oil may have leaked, you may have added more oil, or both. The oil level in the evening is ggg liters.
Answer:
g = (h+a) - l
None of them
Step-by-step explanation:
Suppose your car has h liters of engine oil in the morning. During the day, some oil may have leaked, you may have added more oil, or both. The oil level in the evening is g liters. Which of the following expressions always represents how far away the new oil level is from the previous oil level? H+G lGl none of them
Let
h = liters of oil in the morning
l= liters that has leaked
a= liters that were added during the day
g= amount of liters at the end of the evening
Total liters of oil in the evening= (litres of oil in the morning + litres of oil added during the day) - litres of oil that leaked
Substituting each variable into the formula, we have
g = (h+a) - l
Jenny has a $3,000 balance on her credit card with an 18% interest rate. If she makes no payments on her
card and no late fees were charged how long will it take her debt to double?
Answer:
5 years
Step-by-step explanation:
Firstly, Let's use a function to find how much Jenny owes every year.
Using f(t)=3,000(1.18)^t
We can find the amount of money jenny owes every year.
Now let's try to find how many years it would take her to double her credit card debt.
If we change t=5, we can see that the function gives us an output of 6,863.27 which is double the amount of which she currently owes.
Donut Haven fries donuts in batches of $20$, but sells them in boxes of $13$. If Donut Haven fries just enough batches of $20$ to pack $44$ full boxes of $13$ donuts, how many donuts will be left over?
Answer:
The number of doughnuts left over are 8 doughnuts
Step-by-step explanation:
The information given are;
The number of doughnuts fried per batch = 20 doughnuts
The number of doughnuts contained in a pack = 13 doughnuts
The number of doughnut batches just fried = 20 batches
The number of packs filled = 44 packs
The number of packs filled with the fried = 44 packs
The number of doughnuts per pack = 13 doughnuts
The number of doughnuts in the pack = The number of packs filled with the fried × The number of doughnuts per pack
The number of doughnuts in the pack = 44 × 13 = 572 doughnuts
Given that the number of batches of doughnuts fried = X batches and the amount of left over = Y doughnuts, where each batch contains 20 doughnuts, we have;
Number of doughnuts fried = Number of batches of doughnuts fried × Number of doughnuts per batch
Number of doughnuts fried = X × 20 =20×X doughnuts
Therefore we have;
Number of doughnuts fried = The number of doughnuts in the pack + The number of doughnuts left over
Which gives;
20×X = 572 + Y where Y < 20
Checking we have multiples of 20 are 560, 580
Given that 520 is the next multiple of 20 after 572, we have;
The number of doughnuts fried = 580 and the number of left over = 580 - 572 = 8 doughnuts.
The table below lists some of the characteristics of the houses on Katrina’s street. Characteristics of Homes For Sale on Katrina’s Street Bedrooms Acres of land Sale price Appraised value Property tax 2 0.17 $230,000 $200,000 $1,220 2 0.20 $210,000 $220,000 $1,232 3 0.20 $275,000 $250,000 $1,400 4 0.24 $275,000 $275,000 $1,540 4 0.52 $360,000 $310,000 $1,736 4 0.75 $350,000 $320,000 $1,792 5 1.23 $375,000 $350,000 $1,960 Which relationship describes a function?
Answer:
your welcome and hope this helps
y<-3x+3
y
a. (1,-5)
b.(1,5)
c.(5,1)
d.(-1,5)
Answer: a
Step-by-step explanation:
substitute the coordinate values for x and y
y<3x+3, (1,-5)
-5<3(1)+3
-5<3+3
-5<6
the coordinate (1,-5) works, so a is the answer
Subtract -134 from the sum of 38 and -87.
Answer:
[tex]\boxed{85}[/tex]
Step-by-step explanation:
Sum of 38 and -87:
=> 38 + (-87)
=> 38 - 87
=> -49
Subtraction of -134 from -49:
=> -49 - (-134)
=> -49 + 134
=> 85
Find the domain of each function: g(x)= 1/x−9
Answer:
x ∈ R, x ≠ 9
Step-by-step explanation:
Given
f(x) = [tex]\frac{1}{x-9}[/tex]
The denominator of f(x) cannot be zero as this would make f(x) undefined.
To find the value that x cannot be, equate the denominator to zero and solve for x
x - 9 = 0 ⇒ x = 9 ← excluded value
Thus the domain is x ∈ R, x ≠ 9
What is the domain of the function f(x) = x + 1/ x^2 - 6 + 8?
Answer:
The domain is all values but x=4 and x=2
Step-by-step explanation:
f(x) = (x+1) / ( x^2-6x+8)
Factor the function
f(x) = (x+1) / ( (x-4) ( x-2))
The domain of the function is all values of x except where the function does not exist
This is where the denominator goes to zero
(x-4) ( x-2) =0
Using the zero product property
x-4 =0 x-2 =0
x=4 x=2
The domain is all values but x=4 and x=2
Answer:
Hey there!
This, is the graph of your function:
Thus the domain, or all the possible x values would be all real numbers except 2 and 4, because the lines will only reach 2 and 4 when y is infinity.
Hope this helps :)
Select the number of solutions for each system of two linear equations.
Answer:
work is shown and pictured
C, infinitely many solutions.
B, one solution.
C, infinitely many solution.
A system of linear equations:A system of linear equations is a collection of one or more linear equations involving the same variables.
A system of linear equation has
one solution when the graph intersect at a point.no solution when the graphs are parallel.infinitely many solutions when the graphs are exact same line.According to the given questions
the given system of equations
(1). 2x+2y=3 and 4x+4y=6
if we see the graph of the above system of linear equations, the graphs are the" exact at same line".
Hence, they have infinitely many solution.
(2). 7x+5y=8 and 7x+7y =8
if we see the graph of the above system of linear equations, the graphs are intersecting at a single point.
Hence, there is only one solution.
(3). -2x+3y=7 and 2x-3y=-7
if we see the graph of the above system of linear equations, the graphs are exact at same line.
Hence, there is infinitely many solutions.
Learn more about the system of linear equations here:https://brainly.in/question/5130012
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Which of the following best classifies a quadrilateral with coordinates A(8, 4), B(6, 0), C(3, 2), and D(7, 10)? Trapezoid Parallelogram Kite Rectangle
Answer:
Trapezoid
Step-by-step explanation:
Got it right on quiz
The following that best classifies a quadrilateral with coordinates is :
A) Trapezoid
The following that best classifies a quadrilateral with coordinates is Trapezoid.A trapezoid could be a quadrilateral with one match of inverse sides parallel. In some cases individuals characterize trapezoids to have at slightest one match of opposite sides parallel, and some of the time say there's one and as it were one combine of inverse sides parallel.Thus, the correct answer is A.
Find out more information:
https://brainly.com/question/24200218referrer=searchResults
The level of water in a dam was decreasing by 20% each day. If the level of water was 1500cm,what was the level after two days?
Answer:900
Step-by-step explanation:
Answer:
960 cm.
Step-by-step explanation:
For the first day:
Subtract the primary level of water by the 20% of it. 20% of 1500 is:
[tex]0.2*1500=300[/tex] (Convert the percent to decimal)
Then subtract 1500 to 300. That would become 1200cm for the first day.
For the second day:
Subtract the level of water from the first day by 20% of it. 20% of 1200 is:
[tex]0.2*1200= 240[/tex]
Then subtract 1200 to 240. That would become 960 for the second day.
The level of the water after 2 days is 960 cm.
Can an absolute value function also be a polynomial function? Why or why not?
Answer:
For this case a polynomial is defined with the following expression:
[tex] p(x) =\sum_{i=1}^n a_i x^i[/tex]For all x on the domain considered and n is finite
And by definition the absolute value function is defined as:
[tex] |x|= x, x \geq 0[/tex]
[tex] |x| =-x , x<0[/tex]
If we use the function [tex] f(x) =|x|[/tex] we see that is impossible to obtain the general expression of a polynomial since we can't obtain the form |x| and since we don't satisfy the definition the answer would be:
An absolute value function CANNOT be considered as a polynomial function
Step-by-step explanation:
For this case a polynomial is defined with the following expression:
[tex] p(x) =\sum_{i=1}^n a_i x^i[/tex]For all x on the domain considered and n is finite
And by definition the absolute value function is defined as:
[tex] |x|= x, x \geq 0[/tex]
[tex] |x| =-x , x<0[/tex]
If we use the function [tex] f(x) =|x|[/tex] we see that is impossible to obtain the general expression of a polynomial since we can't obtain the form |x| and since we don't satisfy the definition the answer would be:
An absolute value function CANNOT be considered as a polynomial function
Im needing an answer for this please!
Answer:
x=46 degrees
Step-by-step explanation:
first find the size of the other angles(let call z and y)
the sum of a straight angle is 180:
180=130+z
z=180-130=50
y=180-96=84
sum of angles of triangle =180
x+y+z=180
50+84+x=180
x=180-134=46 degrees
Answer:
46°
Step-by-step explanation:
Angle of a line = 180°
To find the other side of 130°
The other side = 180° - 130° = 50°
To find the other side of 96°
The other side = 180° - 96° = 84°
To find x°
Total angle of a triangle = 180°
180° = x° + 50° + 84°
x° = 180° - 134°
x° = 46°
Which transformations can be used to carry ABCD onto itself? The point of rotation is (3, 2). Check all that apply. A. Reflection across the line y = 2 B. Rotation of 180 C. Rotation of 90 D. Translation two units up
Answer: rotate 180 degrees and reflection across the line y=2
Step-by-step explan
Answer:
Step-by-step explanation:
Sarah has a bag of green and yellow marbles. The number of yellow marbles is 2 less than double the number of green marbles. If you let g be the variable for the green marbles and y be the variable for the yellow marbles, which equation represents the relationship between yellow and green marbles? Sarah has a total of 16 marbles. Which equation represents the total number of marbles she has?Sarah has a bag of green and yellow marbles. The number of yellow marbles is 2 less than double the number of green marbles. If you let g be the variable for the green marbles and y be the variable for the yellow marbles, which equation represents the relationship between yellow and green marbles? Sarah has a total of 16 marbles. Which equation represents the total number of marbles she has?
Answer:
[tex]y = 2g - 2[/tex]
[tex]y + g = 16[/tex]
Step-by-step explanation:
Given
Let g represent the green marbles
Let y represent the y marbles
Required
Determine the relationship between both marbles
The question says that y is 2 less than twice of g
This implies that: [tex]y = 2g - 2[/tex]
The question further states that, Sarah has a total of 16 marbles;
This implies that [tex]y + g = 16[/tex]
So, the system of equation that defines the relationship between y and g are:
y = 2g - 2
y + g = 16
Answer:
edge 2021
Step-by-step explanation:
If you let g be the variable for the green marbles and y be the variable for the yellow marbles, which equation represents the relationship between yellow and green marbles?
✔ y = 2g - 2
Sarah has a total of 16 marbles. Which equation represents the total number of marbles she has?
✔ y + g = 16
Would a 36-ounce box for $3.72 be a better bargain than a 3-pound box for $5.36?
Answer: 5.79
36
16 cost
Step-by-step explanation:
1 less than a doubled number is equivalent to 5 more than 3 lots of the number
Answer:
the number is -6 (assuming "3 lots of" means 3 times)
Step-by-step explanation:
Let the number be x
1 less than a doubled number
2x-1
5 more than 3 lots of (times???) the number
3x+5
Solve for x
2x-1 = 3x + 5
-x = 5+1
x = -6
The angle of depression from an airplane to the top of an air traffic
control tower is 56 degrees. If the tower is 320 feet tall and the airplane
is flying at an altitude of 7,450 feet, how far away is the airplane from the
control tower?
Round this however you need to.
===========================
Work Shown:
Check out the diagram below. We have the following points
A = base of the towerB = point on the ground directly below the airplaneC = top of the towerD = plane's locationE = point used to form the angle of depressionBased on those points, we know that
AC = 320 = height of towerBD = 7450 = height of planeCE = BD - AC = 7450-320 = 7130 = difference between the two heightsWhich allows us to find the distance from C to D. Focus solely on triangle EDC. Use the sine ratio to find x.
sin(angle) = opposite/hypotenuse
sin(angle EDC) = CE/CD
sin(56) = 7130/x
x*sin(56) = 7130
x = 7130/sin(56)
x = 8600.33397283284 approximately
Make sure your calculator is in degree mode.
Pls solve ASAP!! Review the attachment and solve. Pls hurry!
Answer:
A. 3
Step-by-step explanation:
ΔDEC is bigger than ΔABC by 5. For the hypotenuse, 25 is 5 times bigger than 5.
So, side DE on ΔDEC has to be 5 times bigger than side AB on ΔABC.
If side AB equals 3, side DE equals 18 - 3, which is 15.
15 is five times bigger than 3, so the answer is A. 3.
Hope that helps.
four pencils and a ruler cost $1. six pencils and three rulers cost $2.10. find the cost of three pencils and thirteen rulers.
Answer:
$ 5.65
Step-by-step explanation:
let the cost of a pencil and a ruler be $p and $r respectively.
4p +r= 1 -----(1)
6p +3r= 2.10
divide by 3 throughout:
2p +r= 0.70 -----(2)
Q: 3p +13r= ?
(1) -(2):
(4p +r) -(2p +r)= 1 -0.70
4p +r -2p -r= 0.30 (expand)
2p= 0.30 (simplify)
p= 0.30 ÷2 (÷2 on both sides)
p= 0.15
subst. into (1):
4(0.15) +r= 1
r +0.60= 1
r= 1 -0.60
r= 0.40
cost of three pencils and thirteen rulers
= 3p + 13r
= 3(0.15) + 13(0.40)
= 0.45 + 5.20
= $5.65
Kite EFGH is inscribed in a rectangle such that F and H are midpoints and EG is parallel to the side of the rectangle. Which statements describes how the location of segment EG affects the area of EFGH? A.) the area of EFGH is 1/4 of the area of the rectangle if E and G are not midpoints B.) The area of EFGH is 1/2 of the area of the rectangle only if E and G are midpoints C.) The area of EFGH is always 1/2 of the area of the rectangle. D.) The area of EFGH is always 1/4 of the area of the rectangle.
Answer:
C.) The area of EFGH is always ¹/₂ of the area of the rectangle.Step-by-step explanation:
If EG is parallel to the side of the rectangle then lenght of EG is equal to width of rectangle.
If F and H are midpoints of sides of rectangle then FH is parallel to the side of rectangle {wich is perpendicular to the side parallel to EG}. That means the lenght of FH is equal to lenght of rectangle, and FH is perpendicular to EG.
Then FH is sum of hights of triangles EFG and EHG [tex](FH=H_{_{\Delta EFG}}+H_{_{\Delta EHG}})[/tex], and the area of EFGH is sum of areas of triangles EFG and EHG [tex](A_{kite}=P_{_{\Delta EFG}}+P_{_{\Delta EHG}})[/tex].
So the area of the rectangle: [tex]\bold{A_{rectangle}=EG\cdot FH}[/tex]
The area of the kite:
[tex]A_{kite}=P_{_{\Delta EFG}}+P_{_{\Delta EHG}}\\\\A_{kite}=\frac12 EG\cdot H_{_{\Delta EFG}}+\frac12 EG\cdot H_{_{\Delta EHG}}\\\\ A_{kite}=\frac12 EG\cdot (H_{_{\Delta EFG}}+H_{_{\Delta EHG}})\\\\A_{kite}=\frac12 EG\cdot FH\\\\A_{kite}=\frac12 A_{rectangle}[/tex]
No matter the height of the triangles, so no matter the location of the EG
What the correct answer now
Answer:
11
Step-by-step explanation:
The Law of Cosines is useful when you have two sides of a triangle and the angle between.
v^2 = w^2 +u^2 -2wu·cos(V)
v^2 = 6^2 +16^2 -2·6·16·cos(27°)
v^2 = 292 -171.0733
v ≈ 10.9966
v ≈ 11
find the zeros or x-intercepts (values of r and s) of a quadratic relation y=x^2-5x+6 by factoring using the sum and product method
Answer:
[tex] y = x^2 -5x +6[/tex]
And for this case we want to find the zeros or x interceps r and s so we want to rewrite the function on this way:
[tex] y = (x-r) (x-s)[/tex]
The reason why we have two zeros is because the degree of the polynomial is 2. If we find two numbers that adding we got -5 and multiplied 6 we solve the problem. For this case the solution is r =3, s =2
[tex] y=(x -2)) (x-3)[/tex]
Step-by-step explanation:
For this problem we have the following polynomial given:
[tex] y = x^2 -5x +6[/tex]
And for this case we want to find the zeros or x interceps r and s so we want to rewrite the function on this way:
[tex] y = (x-r) (x-s)[/tex]
The reason why we have two zeros is because the degree of the polynomial is 2. If we find two numbers that adding we got -5 and multiplied 6 we solve the problem. For this case the solution is r =3, s =2
[tex] y=(x -2)) (x-3)[/tex]
What are the coordinates of the vertex of the function f(x)=x2+ 10x-3?
O (-5. -28)
(-5, 28)
O (5,-28)
(5.28)
Answer:
(-5,-28)
Step-by-step explanation:
Use the vertex form y=a(x-h)^2
a=1
h=-5
k=-28
vertex=(h,k)
Answer: A. (-5, -28)
Step-by-step explanation:
f(x) = x² + 10x - 3
a=1 b=10
The axis of symmetry is the x-coordinate of the vertex:
[tex]AOS: x=\dfrac{-b}{2a}\quad =\dfrac{-(10)}{2(1)}=-5[/tex]
Input x = -5 into the original equation to find the y-coordinate of the vertex:
f(-5) = (-5)² + 10(-5) - 3
= 25 -50 -3
= -28
x, y coordinate of the vertex is: (-5, -28)
describe the end behavior f(x)=5x^4+3x^2-1.
WILL MARK BRAINLIEST! Match each pair of angles with the correct angle relationship(s). Explain your reasoning for each.
Answer:
∠AOB and ∠COD are vertical angles
∠DOE and ∠COD are complementary, adjacent
∠AOB and ∠AOD are supplementary, adjacent.
Step-by-step explanation:
Let's start with ∠AOB and ∠COD.
Looking at this, we can see they are the same angles formed by two lines that intersected. These are vertical angles as they are opposite each other.
∠DOE and ∠COD together form the angle ∠EOC, which is a right angle. Complementary angles are any of two that add up to 90°, so these two angles are complementary. They are also adjacent because they are right next to each other.
∠AOB and ∠AOD together form the angle ∠BOD, which has a measure of 180°. Supplementary angles are any of two that add up to 180°, so ∠AOB and ∠AOD are supplementary. They are also adjacent as they are touching/right next to each other.
I hope this helped!
Find mQPR. If mQPS=40,mRPS=8x+7,mQPR=9x+16
Convert 50 degrees into radians (NEED ASAP)
Answer:
0.872665
Step-by-step explanation:
what is the value of the exponent expression below?
Answer:
6Option C is the correct option.
Step-by-step explanation:
[tex] {36}^{ \frac{1}{2} } [/tex]
Write the number in exponential form with a base of 6
[tex] =( {6}^{2}) \: ^{ \frac{1}{2} } [/tex]
Simplify the expression by multiplying the exponents
[tex] = 6[/tex]
Hope this helps..
Best regards!!
The distance from Parrot Point Airport to the Ivy Cliffs is 291 miles at and angle of 9.1 degrees northeast. There is a wind blowing southeast at 25 miles per hour. You want to make this trip in 3 hours by flying straight there. At what speed* and heading should you fly?
Answer:
The flight speed should be 84.79 miles per hour at angle of 22.92° Northeast
Step-by-step explanation:
The given information are;
The distance from Parrot Point Airport to Ivy Cliffs = 291 miles
The direction from Parrot Point Airport to Ivy Cliffs = 9.1° Northeast
The speed of the wind = 25 miles per hour
The direction of the wind = Southeast
The time for the journey = 3 hours
The component of the wind velocity are;
For Southeast direction which is an inclination of 45°
Speed of the wind = -25 × sin(45) + 25 × cos(45)
Without the wind, the velocity of flight will be V = Displacement/time, which gives;
V = 291/3 = 97 miles/hour = 97 mph
Let the required velocity of flying = X, we have;
X×sin(θ) + X×cos (θ) -25× sin(45) + 25 × cos(45) = 97×sin(9.1) + 97×cos(9.1)
X×sin(θ) -25× sin(45) = 97×sin(9.1)
X×sin(θ) = 97×sin(9.1 )+25× sin(45 ) = 33.02
X×sin(θ) = 33.02
X×cos (θ) + 25 × cos(45) = 97×cos(9.1)
X×cos (θ) = 97×cos(9.1)- 25 × cos(45) = 78.1
X×cos (θ) = 78.1
∴X×sin(θ)/(X×cos (θ)) = tan(θ) = 33.02/78.1 = 0.423
tan⁻¹(0.423) = 22.918≈ 22.92°
X×sin(θ) = 33.02
X = 33.02/(sin(θ)) = 33.02/(sin(22.92°)) = 84.79 miles per hour
Therefore, the flight speed should be 84.79 miles per hour at angle of 22.92° Northeast.