Answer:
51 liters of fuel is needed more to fill the tank
Step-by-step explanation:
When the gauge is full, the volume of fuel in the tank is 68 liters.
Now it is 1/4 full.
The amount of fuel it has when it is 1/4 full would be 1/4 * 68 = 17 liters
Now, we need to know how many more liters of fuel until the tank is full.
What we just need to do here is to subtract the volume when it is quarter full from the volume when it is full.
That would be 68 liters - 17 liters = 51 liters
Pavel and Katie share some sweets in the ratio 3: 8.
Katie gets 32 sweets.
How many sweets does Pavel get?
Answer:
Step-by-step explanation:
Katie gets 32/8 = 4 lots of sweets
Pavel gets 4 lots x 3 = 12 sweets
The mean mass of a squad of 19 hockey players is 82 kg. A player of mass 93 kg joins the squad. work out the mean mass of the squad now
Answer:
82.55kg
Step-by-step explanation:
Calculate the total weight of the 19 hockey players: 19*82=1558kg.
Calculate the total weight of new players: 1558+93=1651kg.
The total number of players added is 19+1=20. Calculate the average weight: 1651/20=82.55kg.
Name the plane represented by the front of the box.
Answer:
FBC
Step-by-step explanation:
It's the only one at the front of the box
Answer:
FBC
Step-by-step explanation:
thats what it says on my sheet
Find the domain for the rational function f of x equals quantity x plus 4 over quantity 3 times x minus 5. negative infinity to negative five thirds and negative five thirds to infinity negative infinity to five thirds and five thirds to infinity (−∞, −4)( −4, ∞) (−∞, 4)(4, ∞)
Answer:
(-∞, 5/3) and (5/3,∞)
Step-by-step explanation:
f(x) = (x+4)/ (3x-5)
The domain is the values that x can be
We have one discontinuity or value the x cannot be
The denominator cannot be zero
3x-5 ≠0
3x≠5
x ≠5/3
The domain is all real numbers but x = 5/3
(-∞, 5/3) and (5/3,∞)
(I'LL MARK YOU BRAINLIEST BUT PLS HELP WITH THIS)
Care packages cost $6.25 each and certificates cost $4.50 each. Mr. Fernandes has a budget of $550 to purchase both care packages and certificates. If he purchases 45 certificates, what is the maximum number of care packages he can purchase?
A) state maximum number of care packages he can purchase
B) Explain how you got it
{(1,3),(1,2),(3,-2),(3,-2),(3,2)} is a function?
Answer: No its not a Function
Step-by-step explanation:
ITs not a function because
{(1,3),(1,2),(3,-2),(3,-2),(3,2)}
The codomain is being repreted
for example if you look here (1,2),(3,2)}
The 2 is being repreted which shows its not a function
Hope this helps :)
Simplify each expression involving signed numbers.
-7 -2 = -9
12 + (-4) = 8
-8(-6) =
18/-3=
PLEASE HURRY! Thanks!
Answer:
-9=-9
8=8
-48=-48 or -8(-6)=-48
-6=-6 or 18/-3=-6
Step-by-step explanation:
Answer:
Simplify each expression involving signed numbers.
-7 – 2 =
✔ –9
12 + (-4) =
✔ 8
-8(-6) =
✔ 48
StartFraction 18 over negative 3 EndFraction =
✔ –6
can I have some brainiest
Step-by-step explanation:
The numbers x, y and z are successive terms of the arithmetic sequence with a common difference of d=4. What is the sum of these numbers, if the numbers x, y and z+8 are successive terms of the geometric sequence?
Answer: The sum of the numbers is 3x + 12
Step-by-step explanation: A brief explanation of an arithmetic progression would be useful for a start.
An arithmetic progression (also known as arithmetic sequence) is series of consecutive numbers in which every term in the entire series is determined by adding a common difference to the previous term. In other words, if x and y are two successive numbers in an arithmetic term, y can be determined by adding the common difference to x. Similarly, the term that comes after y is determined by adding the same common difference to y.
As stated in the question, the numbers x, y and z are successive terms of an arithmetic progression, and the common difference is given as 4. This simply means;
y = x + 4
z = y + 4
z = (x + 4) + 4
z = x + 8
The terms x, y and z can now be re-written as follows,
x, x + 4, and x + 8
The sum of these numbers therefore is derived as,
Sum = x + x + 4 + x + 8
Sum = 3x + 12
please solve
thankyou in advance x
Answer:
For the first one,
x=6 and y=16
Step-by-step explanation:
If I think of any more then I will tell you
What is 1 + 1 in math 3
Answer:
11
Step-by-step explanation:
the answer is 11
Number 13 please thanks
Answer:
(3, - 9)
Step-by-step explanation:
Differentiate using the power rule
y = a[tex]x^{n}[/tex] , then
[tex]\frac{dy}{dx}[/tex] = na[tex]x^{n-1}[/tex]
Given
y = x² - 6x
[tex]\frac{dy}{dx}[/tex] = 2x - 6
Equate to zero since the measure of gradient is [tex]\frac{dy}{dx}[/tex] , that is
2x - 6 = 0 ( add 6 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Substitute x = 3 into y for corresponding value of y
y = 3² - 6(3) = 9 - 18 = - 9, thus
(3, - 9 ) are the coordinates of the point where the gradient is zero
Which point gives the vertex of f(x) = x2 – 4x + 21? Question 1 options: (–2,–17) (2,17) (–2,17) (2,–17)
Answer:
[tex](2, 17)[/tex]
Step-by-step explanation:
A parabola has the general function: [tex]f(x)=ax^2+bx+c[/tex]
In this case we have: [tex]f(x) = x^2 - 4x + 21[/tex]
where
[tex]a=1[/tex]
[tex]b=-4[/tex]
[tex]c=21[/tex]
the vertex of a parabola is in the coordinates:
[tex](\frac{-b}{2a}, \frac{-b^2+4ac}{4a} )[/tex]
substituting all of the known values, we get the following:
[tex](\frac{-(-4)}{2(1)} ,\frac{-(-4)^2+4(1)(21)}{4(1)} )\\\\(\frac{4}{2} ,\frac{-16+84}{4} )\\\\\\(2 ,\frac{68}{4} )\\\\\\(2,17)[/tex]
the vertex of [tex]f(x) = x^2 - 4x + 21[/tex] is at the point (2,17) which is the second option.
Answer:
2,17
Step-by-step explanation:
Consider the function represented by the graph. On a coordinate plane, a straight line with a negative slope begins on the y-axis at (0, 9) and exits the plane at (8, 1). What is the domain of this function?
Answer:
The domain of y = f(x) is [0,8]
Step-by-step explanation:
Since the straight line with negative slope begins on the y-axis at (0. 9) and exits the plane at (8, 1), we get is domain from the minimum and maximum values of x for which the function is valid.
So, the minimum value of x at which the function is valid is x = 0 and the function is y = f(0) = 9.The maximum value of x at which the function is valid is x = 8 and the function is y = f(8) = 1.
So, the domain of the function y = f(x) is [0,8]
Answer:
y = f(x) is [0,8]
Step-by-step explanation:
Find the slope of a line passing through the points (-4,2) and (5,6)
Step-by-step explanation:
I hope you understand what I did
What are the solutions of x^2 - 5x+7 = 0 ?
Answer:
C.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Algebra II
Imaginary Roots: √-1 = iStep-by-step explanation:
Step 1: Define
x² - 5x + 7 = 0
Step 2: Identify Variables
a = 1
b = -5
c = 7
Step 3: Find solutions
Substitute [Quad Formula]: [tex]x=\frac{5\pm\sqrt{(-5)^2-4(1)(7)} }{2(1)}[/tex]Evaluate Exponents: [tex]x=\frac{5\pm\sqrt{25-4(1)(7)} }{2(1)}[/tex]Evaluate Multiplication: [tex]x=\frac{5\pm\sqrt{25-28} }{2}[/tex]Evaluate Subtraction: [tex]x=\frac{5\pm\sqrt{-3} }{2}[/tex]Factor: [tex]x=\frac{5\pm\sqrt{-1} \sqrt{3} }{2}[/tex]Simplify: [tex]x=\frac{5\pm i\sqrt{3} }{2}[/tex]The solutions to the equation x² - 5x + 7 = 0 are:
x = (5 + i√3) / 2 or x = (5 - i√3) / 2
Option C is the correct answer.
We have,
To find the solutions of the quadratic equation x² - 5x + 7 = 0, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
For the given equation, the coefficients are:
a = 1
b = -5
c = 7
Substituting these values into the quadratic formula,
x = (-(-5) ± √((-5)² - 4(1)(7))) / (2(1))
Simplifying further:
x = (5 ± √(25 - 28)) / 2
x = (5 ± √(-3)) / 2
Since the discriminant (the value inside the square root) is negative, √(-3) is imaginary, meaning there are no real solutions to this quadratic equation.
The solutions exist in the complex number system.
So,
√-1 = i
x = (5 ± i√3) / 2
This can be written as,
x = (5 + i√3) / 2
and
x = (5 - i√3) / 2
Thus,
The solutions to the equation x² - 5x + 7 = 0 are:
x = (5 + i√3) / 2 or x = (5 - i√3) / 2
Learn more about solutions of equations here:
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Sandy borrowed 6709 R.O from a bank to buy a piece of land. If the bank charges 12 1/3 % compounded each two months, what amount will she have to pay after 2 years and half? Also find the interest paid by her.
Answer:
she is paying back 9112.5 R.O
Interest paid back is 2,403.95
Step-by-step explanation:
To find the amount, we use the compound interest formula.
This is given as;
A = I( 1 + r/n)^nt
where A is the amount we are trying to calculate
I is money borrowed = 6709
r is the interest rate = 12 1/3% = 37/3 = 12.33% which is same as 12.33/100 = 0.1233
n is the number of times interest is compounded. We have 15 2 months in 2 and a half years
t is the number of years = 2.5
Plugging these values, we have;
A = 6709(1 + 0.1233/15)^(15)(2.5)
A = 6709(1.0082)^(37.5)
A = 9112.95 R.O
Interest is amount - principal( money borrowed)
9112.95 - 6709 = 2403.95
which of the following is the correct graph of the linear equation below? y+2=1/5(x-1)
Answer:
Step-by-step explanation:
A circular pond has a radius of 6 feet. What is the area of that pond?
Answer:
radius x radius x pi = area of circle
6 x 6 = 36
36 x 3.14 = 113.04
113.04
Hope this helps
Step-by-step explanation:
Mr. Matthews built a fence to enclose his yard. He put up 3/4 of the fence on Monday. On Tuesday, he put up 1/6 of the fence, and on Wednesday, he put up the rest of the fence. What portion of the fence did he put up on Wednesday?
Answer:
1/12 of the fence was put up on Wednesday.
Step-by-step explanation:
3/4 + 1/6 = 11/12
So therefore 1/12 of the fence was put up on Wednesday
Answer: 1/12 of the fence was put up on Wednesday
Step-by-step explanation:
To do this, we should add up the fractions of the fence on Monday and Tuesday, and subtract them from 1 (100% or the whole fence) to find the remaining portion.
[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{6}[/tex] First, find the greatest common denominator (12).
[tex]\frac{3}{4} * \frac{3}{3} = \frac{9}{12}[/tex] In order to get from 4 to 12, you must multiply both sides by 3
[tex]\frac{1}{6}*\frac{2}{2} = \frac{2}{12}[/tex] In order to get from 6 to 12, you must multiply both sides by 2
[tex]\frac{9}{12} + \frac{2}{12} = \frac{11}{12}[/tex] Add the two fractions together by adding the numerators.
[tex]1 - \frac{11}{12} = \frac{1}{12}[/tex] Finally, subtract 11/12 from 1 to get the remaining portion on Wednesday
Simplify
(y + 1)
(y + 1)
Answer:
That is already at its simplest form.
Step-by-step explanation:
(y + 1)(y + 1) or (y + 1)² is the factored form of y² + 2y + 1. You cannot break it down any further after you reached binomials after you factor unless you are solving for x.
FOR 12 POINTS I NEED HELP ASAP! Consider the system of linear equations. 5 x + 10 y = 15. 10 x + 3 y = 13 To use the linear combination method and addition to eliminate the x-terms, by which number should the first equation be multiplied? –2 Negative one-half One-half 2
Answer:
Do you mean which equation should the 5x+10=15 be multiplied to?
it would be -2
Step-by-step explanation:
This is because 5 times -2 is -10
and so when you add the (now) x value of the first equation to the x value of the second equation, it gets 0
which makes it eliminated!
-10x+10x=0
Answer:
-2
Step-by-step explanation:
What is the slope-intercept equation of this line
Answer:
y = -3x + 4
Step-by-step explanation:
Slope intercept form:
y = mx + b
Slope = y2 - y1/x2 - x1
-2 - 4/2-0 = slope
slope = -6/2 or -3
Equation:
y = -3x + 4
Answer:
[tex]y = 4x-3[/tex]
Step-by-step explanation:
y-intercept = b = 4 (because x becomes zero here)
Now, Finding the slope:
Slope = m = [tex]\frac{rise}{run}[/tex]
Slope = [tex]\frac{-2-4}{2-0}[/tex]
Slope = [tex]\frac{-6}{2}[/tex]
Slope = -3
Now putting m and b in the slope intercept equation to get the required form:
=> [tex]y = mx+b[/tex]
=> [tex]y = 4x-3[/tex]
I WILL MAKE YOU THE BRAINLLEST
Which description matches the graph of the inequality y ≤ 2x – 1?
A.a shaded region below a solid boundary line
B.a shaded region above a dashed boundary line
C.a shaded region below a dashed boundary line
D.a shaded region above a solid boundary line
Answer:
The correct option is;
A. a shaded region below a solid boundary line
Step-by-step explanation:
The parameters given are;
The equation, y ≤ 2x - 1
We compare the above equation with the equation for a straight line, y = m·x + c to get
The slope m = 2
The y-intercept c = -1
Therefore, we have;
The graph of an inequality of a y value which is less than or equal to a function is represented by a solid line having the shaded region, which shows the area that satisfies the inequality, shaded below the line
Which gives the correct option as A. A shaded region below a solid boundary line.
What is the square root of 1/3
Answer: √3/3
Step-by-step explanation:
√1/3 = 1/√3 x √3 / √3
= √3/3
Answer:
±1/√3
Step-by-step explanation:
=> [tex]\sqrt{\frac{1}{3} }[/tex]
=> [tex]\frac{\sqrt{1} }{\sqrt{3} }[/tex]
√1 = ±1
=> ±1/√3
What is the domain of the step function f(x) = ⌈2x⌉ – 1?
Answer:
believe its 2x cause 1 was wrong
The points (0, 1), (7, 1), and (2, -3) represent the vertices of a triangle. What is the area, in square units, of the triangle?
Answer:
14 [tex]u^2[/tex]
Step-by-step explanation:
The attached image shows the diagram of the triangle drawn on the Cartesian plane.
We can see that it has the following measures:
base: [tex]b=7u[/tex]
height: [tex]h=4u[/tex]
the area of a triangle is given by the formula:
[tex]A=\frac{b*h}{2}[/tex]
substituting the values:
[tex]A=\frac{(7u)(4u)}{2}\\ \\A=\frac{28u^2}{2} \\\\A=14u^2[/tex]
the area, in square units, of the triangle is 14
A surveyor is 40m from the edge of a building. The angle of elevation from the surveyor to the top of the building is 55° . What is the height of the building?
Answer:
Height of building is 57.12 m.
Step-by-step explanation:
Let us try to understand the given dimensions as per the attached diagram.
Please refer to attached image (Right angled [tex]\triangle OBT[/tex])
with [tex]\angle B =90^\circ[/tex]
Let O be the point where the Surveyor is standing.
B be the point of the base of building.
T be the point of top of building.
As per question statement,
[tex]\angle O = 55^\circ[/tex]
Side OB = 40 m
To find: Side BT = ?
Using tangent trigonometric identity:
[tex]tan\theta =\dfrac{Perpendicular}{Base}[/tex]
[tex]tanO =\dfrac{BT}{BO}\\\Rightarrow tan55^\circ = \dfrac{BT}{40}\\\Rightarrow BT = tan55^\circ \times 40\\\Rightarrow BT = 1.43\times 40\\\Rightarrow BT = 57.12 m[/tex]
So, height of building is 57.12 m.
Circle O is shown. Line segments A O and B O are radii. The length of O B is 16 inches. Angle A O B has a measure of StartFraction pi Over 4 EndFraction
In circle O, angle AOB measures radians.
What is the length of arc AB?
π in.
If you know the angle in radians, then the length of the arc is
(measure of the angle in radians) x (radius of the circle) .
In this circle, we know the angle and we know the radius.
Arc AB = ( π/4) x (16")
Arc AB = 4π inches
Arc AB = about 12.566... inches
Answer:
6 pie correct on edge
Step-by-step explanation:
The equation of a circle is (x - 3)^2 + (y + 2)^2 = 25. The point (8, -2) is on the circle. What is the equation of the line that is tangent to the circle at (8, -2)?
Answer:
x = 8
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
We know that the line which is tangent at a point on a circle is perpendicular to the line joining the center of the circle and that point.
please mark me as brainliest :)
Probability of Tournament Winners
Try it
Which statements are true? Check all that apply.
A local chess tournament gives medals for first, second,
and third place. There are five students from Midland
High, three students from Leasburg High, and six
students from Cassville High competing in the
tournament.
Order matters in this scenario.
There are 2,184 ways to select a first-place,
second-place, and third-place winner.
The probability that all three winners are from
Midland High is 0.0275.
The probability that all three winners are from
Leasburg High is 0.0046.
The probability that all three winners are from
Cassville High is 0.0549
Answer:
The answer is A B C and E
Step-by-step explanation:
I just took it
The statements are true A, B, C, and E.
What is probability?The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,
The given data in the problem is;
No of the students from Midland High = 5
No of the students from Leasburg High= 3
No the students from Cassville High = 6
The statements that are true will be;
A.Order matters in this scenario.
B.There are 2,184 ways to select a first-place,second-place, and third-place winner.
C.The probability that all three winners are from Midland High is 0.0275.
E.The probability that all three winners are from Cassville High is 0.0549
Hence the statements are true A, B, C, and E.
To learn more about the probability refer to the link;
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