Answer:
The correct option is;
Choice A 4·(n - 3) - 6·n
Step-by-step explanation:
The given expression is
Which gives;-6·n+(-12)+4·n
- 12 + 4·n-6·n = -2·n - 12 = - (2·n + 12)
The options given are Choice A and/or Choice B;
(Choice A) 4·(n - 3) - 6·n
Which can be simplified as follows;
4·(n - 3) - 6·n = 4·n - 12 - 6·n
Which gives;
4·n - 12 - 6·n = 4·n - 6·n- 12 = -2·n - 12 = -(2·n + 12)
Therefore, 4·(n - 3) - 6·n is equivalent to -6·n+(-12)+4·n
For choice B, we have;
2·(2·n - 6) which gives;
2·(2·n - 6) = 4·n - 12
Therefore, 2·(2·n - 6) is not equivalent to -6·n+(-12)+4·n
Which gives the correct option as Choice A.
4(n-3)-6n
Khan academy I got this right
4= t/2.5,what is t?
Answer:
T=10
Step-by-step explanation:
Answer:
t=10
Step-by-step explanation:
you multiply each side by 2.5 so 4*2.5= 10
The table below shows the students in an Algebra 1 class. What is the probability that a randomly chosen student will be a girl GIVEN that the student does NOT own a graphing calculator? (Note: If your fraction will reduce, you need to reduce it.)
Answer:
6/13
Step-by-step explanation:
Of the 13 students who do not own a graphing calculator, 6 are girls. The probability is 6/13.
Find the length of a side of a rhombus if the lengths of its diagonals
are:
6m and 8m
Answer:
the other side lengths are 6m and 8m
Step-by-step explanation:
i did the quiz and got it right
PLEASE HELP I WILL MARK BRAINLIEST RIGHT AWAY!!!
Answer:
C
Step-by-step explanation:
The slope formula is y^2 - y^1 over x^2 - x^1
hope this helps!
also the answer is just the inverse of that answer
Please Help Asap!!! Will give brainiest if answered correctly with explanation.
Answer:
HL and SAS
which agrees with the third option listed among your options
Step-by-step explanation:
Notice that you have two triangles (see attached image) which have a common side (marked in blue), sides YW and YZ (marked in green) congruent, and the angle in between also congruent.
Therefore we have two postulates than can be applied to prove that the triangles YWX and YXZ are congruent:
HL postulate : "congruent hypotenuse and a corresponding congruent leg " that corresponds to hypotenuses YW and YZ, and congruent leg which is the common segment YX.
and:
SAS postulate: "two sides and the included angle" which corresponds to sides YW, YX, and angle WYX on one triangle, and sides YX, YZ, and angle XYZ in the other triangle
-4______1 what symbol makes this sentence true
Answer:
<
Step-by-step explanation:
Financial Math
What’s the answer??
[No guessing]
In the given formula n is the number of years the loan is out for.
The answer would be C.
Answer:
[tex]\boxed{\sf C}[/tex]
Step-by-step explanation:
The formula for the payment on a loan is given:
[tex]\displaystyle P=PV \cdot \frac{i}{1-(1+i)^{-n}}[/tex]
n would represent the number of periods or years it will take to pay the loan back.
Se tiene una pirámide regular cuadrangular cuyas caras laterales forman con la base un angulo que mide 53º y el area de la superficie lateral es 60 ¿cuanto mide la altura?
Answer:
La altura de la pirámide es de 8.14 unidades.
Step-by-step explanation:
Hay una pirámide cuadrangular regular cuyas caras laterales forman un ángulo que mide 53º con la base y el área de la superficie lateral es 60. ¿Qué altura tiene?
Dado que el área de superficie lateral = 60
Tenemos
Área del triángulo equilátero = (√3 / 4) × a²
(√3 / 4) × a² = 60
a² = 60 / (√3 / 4) = 80 · √3
a = √ (80 · √3) = 11.77 unidades
La altura inclinada = Altura de la superficie inclinada = a × sin (60) = 11.77 × sin (60)
La altura inclinada = 11.77 × sin (60) = 10.194 unidades
La altura de la pirámide = Altura inclinada × sin (ángulo de caras laterales con la base)
La altura de la pirámide = 10.194 × sin (53) = 8.14 unidades.
La altura de la pirámide = 8.14 unidades.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
The range consists of all real numbers where y ≠ 0
Step-by-step explanation:
reciprocal parent function is y = 1/x
If y = 0, then 1 would have to be divided by a number to equal 0. This would require x to equal a number that can divide 1 to equal 0. Because this is not possible, y cannot be 0.
what is the value of 3cubed
Answer:
27
Step-by-step explanation:
3 cubed=3✖️3✖️3=27
Answer:
3³ = 3 × 3 × 3 = 9 × 3 = 27
Hope this helps you
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
Correct option: Third one
Step-by-step explanation:
A polynomial is an expression in the form:
[tex]ax^n + bx^{n-1}+...+mx^1+n[/tex]
Where n is a non-negative integer number, and a, b, ... are real coefficients.
The first option is not a polynomial, because there is a non-integer number (5/2) in the exponent of y.
The second option is not a polynomial, because there is a negative integer number in the exponent (the fraction [tex]\frac{1}{x^2}[/tex] is the same as [tex]x^{-2}[/tex], and [tex]\frac{1}{5x}[/tex] is the same as [tex]0.2x^{-1}[/tex]).
The third option is a polynomial, because all numbers in exponent are non-negative integers.
The fourth option is not a polynomial, because there is a variable x in the exponent, so we don't know if the exponent is a non-negative integer number.
Find the greatest number of children to whom 125 pens 175 pencil can be divided equally.
Answer:
25 children
So , each child will get 25 pens and 7 pencils
You have to find the highest common factor of 125 and 175 which is 25 and then you have to multiply it by those two numbers to find how may pens and pencils will be given to 1 child
Hope this helps and pls mark as brianliest :)
Find the other endpoint of the line segment with the given endpoint
and midpoint
Endpoint 1: (9,1)
Midpoint: (1,6)
Endpoint 2= (
Step-by-step explanation:
Let the other endpoint be (x,y)
Since, (1,6) is the midpoint between (9,1) and (x,y)
Therefore,
1=(9+x)/2
=> 2=9+x
=> x= -7
and,
6=(1+y)/2
=>12= 1+y
=> y=11
So, the other endpoint is ( -7, 11)
Answer:
( - 7 , 11)Step-by-step explanation:
Let the coordinates of Endpoint 2 be
(x ,y)
The midpoint of the endpoints is given by
[tex](1,6) = ( \frac{9 + x}{2} , \frac{1 + y}{2} )[/tex]
Where x and y are coordinates of Endpoint 2
Comparing with the midpoint we have
[tex]1 = \frac{9 + x}{2} \\ 2 = 9 + x \\ \\ x = 2 - 9 \\ \\ x = - 7[/tex]
[tex]6 = \frac{1 + y}{2} \\ 12 = 1 + y \\ \\ y = 12 - 1 \\ \\ y = 11[/tex]
Therefore x = - 7 and y = 11
The coordinates of Endpoint 2 are
( - 7 , 11)Hope this helps you
A rope 33cm long has a mass of 561g. What is the mass of 13cm of this rope?
Answer:
221g
Step-by-step explanation:
561g divided by 33cm is how much 1 cm of rope would be so then you multiply that amount by 13
? Question
Type the correct answer in each box. Round your answers to one decimal place.
Use the function g(x) = 4(0.6)¥ to complete the table and find the y-intercept.
Answer:
-10=661.5
-1=6.7
0=4.0
1=2.4
2=1.4
8=0.1
(0,4)
Step-by-step explanation:
The y intercept is (0,4)
What is a Function?A function is a law that relates a dependent and an independent variable.
The function is g(x) = 4 (0.6)ˣ
The table shows the value of x
The value of g(x) at different value of x is
At x = -10
g(x) = 661.5
At x = -1
g(x) = 6.7
At x = 0
g(x) = 4
At x = 1
g(x) = 2.4
At x = 2
g(x) = 1.4
At x = 8
g(x) = 0.1
To know more about Function
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The sum of two numbers is 29. If the
larger number is 2 less than three times
the smaller number, what is the smaller
number.
Answer: 7
Step-by-step explanation:
The smaller number is 7.75.
What is an Equation?An equation is a mathematical statement formed when two expressions are equated using an equal sign.
The equations are useful in determination of unknown parameters.
The equations are of various types, such as Trigonometric equations, quadratic equations.
The system of equations are used to solve complex problems.
Let the smaller number is x.
The larger number is 2 less than three times the smaller number
Then the larger number is 3x -2
The sum of the two numbers is 29
The sum is the output of the mathematical operation, Addition.
The equation formed is :
3x -2 + x = 29
Grouping the variables and the constants
4x = 31
Dividing both side of the equation by 4
x = 7.75
The value of the smaller number is obtained.
To know more about Equation
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Use zero product property to solve.
F(x)=3x(2x-6)
Answer:
x=0 x=3
Step-by-step explanation:
F(x)=3x(2x-6)
Set equal to zero
0 =3x(2x-6)
Using the zero product property
3x =0 2x-6 =0
x =0 2x = 6
x = 6/2
x = 3
Answer:
x = 0 or x = 3
Step-by-step explanation:
Set the output to 0
0 = 3x(2x-6)
Set factors equal to 0.
3x = 0
x = 0
2x - 6 = 0
2x = 6
x = 3
Please help...........
Answer:
315.1° (1 d.p.)
Step-by-step explanation:
Please see the attached picture for the full solution.
The location of a dolphin in relation to the surface of the sea, h(x), over time, x, in seconds, for 5 seconds can be modeled by a cubic function. Each of the following functions is a different form of the cubic model for the situation given above. Which form would be the most helpful if attempting to determine the time it takes for the dolphin to re-enter the sea after leaping out of the water? h(x) = 2x2(x - 11) + 4(17x - 12) h(x) = 2x(x2 - 11x + 34) - 48 h(x) = 2(x - 1)(x - 4)(x - 6) h(x) = 2x3 - 22x2 + 68x - 48
Answer:
The most helpful function in an attempt to determine the time it takes for the dolphin to re-enter is h(x) = 2·(x - 1)·(x - 4)·(x - 6)
Step-by-step explanation:
For 2·x²·(x - 11) + 4·(17·x - 12)
h(5) = 2×5^2×(5 - 11) + 4×(17×5 - 12) = -8
For the function h(x) = 2·x·(x² - 11·x + 34) -48 we have;
h(5) = 2×5×(5^2 - 11×5 + 34) -48 = -8
For the function h(x) = 2·(x - 1)·(x - 4)·(x - 6) we have;
h(5) = 2×(5 - 1)×(5 - 4)×(5 - 6) = -8
For the function h(x) = 2·x³ - 22·x² + 68·x -48 we have;
h(5) = 2×5^3 - 22×5^2 + 68× 5 - 48 = -8
Given that the values of the function are all equal at x = 5, the function that will be most helpful in determining the time it takes for the dolphin to re-enter the sea after leaping out of the water is the function that is already factorized
Thereby where the value of the function h(x) at which the dolphin re-enters the the sea is h(x) = 0, we have the function h(x) = 2·(x - 1)·(x - 4)·(x - 6), readily gives the time values, x, as x = 1 second or 4 second or 6 second, therefore, the most helpful function is h(x) = 2·(x - 1)·(x - 4)·(x - 6).
The graph of h(x) is a translation of f (x) = RootIndex 3 StartRoot x EndRoot. On a coordinate plane, a cube root function goes through (negative 3, negative 1), has an inflection point at (negative 2, 0), and goes through (negative 1, 1). Which equation represents h(x)?
Answer:
The correct option is;
[tex]h(x) = \sqrt[3]{x + 2}[/tex]
Step-by-step explanation:
Given that h(x) is a translation of f(x) = ∛x
From the points on the graph, given that the function goes through (-1, 1) and (-3, -1) we have;
When x = -1, h(x) = 1
When x = -3, h(x) = -1
h''(x) = (-2, 0)
Which gives
d²(∛(x + a))/dx²= [tex]-\left ( \dfrac{2}{9} \cdot \left (x + a \right )^{\dfrac{-5}{3}}\right )[/tex], have coordinates (-2, 0)
When h(x) = 0, x = -2 which gives;
[tex]-\left ( \dfrac{2}{9} \cdot \left (-2 + a \right )^{\dfrac{-5}{3}}\right ) = 0[/tex]
Therefore, a = (0/(-2/9))^(-3/5) + 2
a = 2
The translation is h(x) = [tex]\sqrt[3]{x + 2}[/tex]
We check, that when, x = -1, y = 1 which gives;
h(x) = [tex]\sqrt[3]{-1 + 2} = \sqrt[3]{1} = 1[/tex] which satisfies the condition that h(x) passes through the point (-1, 1)
For the point (-3, -1), we have;
h(x) = [tex]\sqrt[3]{-3 + 2} = \sqrt[3]{-1} = -1[/tex]
Therefore, the equation, h(x) = [tex]\sqrt[3]{x + 2}[/tex] passes through the points (-1, 1) and (-3, -1) and has an inflection point at (-2, 0).
Answer: B
Step-by-step explanation:
Simplify. Rewrite the expression in the form 4^n. 4^11/4^-8
Answer:
S6tep-by-step explanation:
4^(11+8) = 4^19 is the solution
Helppppppppp I need answer❤️❤️❤️
Answer:
c. (3x^2-1)(x-7)
Step-by-step explanation:
=(3x^3-21x^2)+(-x+7)
=-(x-7)+3x^2(x-7)
=(3x^2-1)(x-7)
) 30 marbles are to be divided into three bags so that the second bag has three times as many marbles as the first bag and the third bag has twice as many as the first bag. If x is the number of marbles in the first bag, find the number of marbles in each bag.
Answer:
The number of marbles in the first bag= 5
The number of marbles in the second bag = 15
The number of marbles in the third bag = 10
Step-by-step explanation:
Given that
Total number of marbles= 30
Lets take, the number of marbles in the first bag= x
The number of marbles in the second bag = 3 x
The number of marbles in the third bag = 2 x
Therefore
The total number of marbles = x + 2 x + 3 x = 6 x
6 x = 30
[tex]x=\dfrac{30}{5}[/tex]
x= 6 marbles
We can say that
The number of marbles in the first bag= 5
The number of marbles in the second bag = 15
The number of marbles in the third bag = 10
In 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B. If 70 houses were built in Town A during 210, how many were built in Town B
Answer:
The number of houses built in Town B is 56.
Step-by-step explanation:
We are given that in 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B.
Also, 70 houses were built in Town A during 210.
Let the number of houses built in Town B be 'x'.
So, according to the question;
Number of houses built in Town A = Number of houses built in Town B + 25% of the houses built in Town B
[tex]70 = x + (25\% \times x)[/tex]
[tex]70 = x(1+0.25)[/tex]
[tex]x=\frac{70}{1.25}[/tex]
x = 56
Hence, the number of houses built in Town B is 56.
The world's tallest building is the Burj Khalifa in Dubai at 828 m tall. The CN Tower in Toronto is 553 m tall. Ryan wants to compare the Burj Khalifa and the CN Tower by creating rectangular prism models on a 10 cm by 10 cm square base. He has decided to represent the Burj Khalifa with a rectangular prism that has a height of 40 cm. What is the volume of each rectangular prism? Round your answer to the nearest cubic centimetre. Show your work for full marks.
Answer:
Volume of Burj Khalifa Prism = 4000 [tex]cm^2[/tex]
Volume of CN Tower Prism = 2671 [tex]cm^2[/tex]
Step-by-step explanation:
Given
Height of Burj Khalifa = 828 m
Height of CN Tower in Toronto = 553 m
Base of rectangular prism is a square with sides 10 cm [tex]\times[/tex] 10 cm.
Height of Burj Khalifa prism = 40 cm
828 m is represented as 40 cm
[tex]\Rightarrow 553 m[/tex] is represented as [tex]\frac{40}{828 } \times 553 = 26.71\ cm[/tex]
So, height of rectangular prism of CN Tower = 26.71 cm
Volume of a Prism is given by the Formula:
[tex]V=Area\ of\ Base \times Height[/tex]
Base is a square, so Area of base = [tex]Side^2[/tex]
Volume of Burj Khalifa Prism:
[tex]V_B=10^2 \times 40 = 4000\ cm^2[/tex]
Volume of CN Tower Prism:
[tex]V_C=10^2 \times 26.71 = 2671\ cm^2[/tex]
So, the answer is:
Volume of Burj Khalifa Prism = 4000 [tex]cm^2[/tex]
Volume of CN Tower Prism = 2671 [tex]cm^2[/tex]
There are six equilateral triangles in regular____.
Answer:
There are six equilateral triangles in regular hexagons
Answer:
There are 6 equilateral triangles in a regular hexagon.
Step-by-step explanation:
A regular hexagon has 6 congruent sides and can be divided into 6 congruent equilateral triangles.
There are 6 equilateral triangles in a regular hexagon.
Kini and Duke are each working during the summer to earn money in addition to their weekly allowance, and they are saving all of their money. Kini earns $9 an hour at her job, and her allowance is $8 per week. Duke earns $7.50 an hour, and his allowance is $17 per week. How many hours do Kini and Duke need to work in order to save the same amount of money in one week?
Answer:
Step-by-step explanation:
9x + 8 = 7.5x + 17
1.5x = 9
x = 6 hours
find x3 -y3,if x-y=5 and xy=14
Answer:
335
Step-by-step explanation:
Factor the given binomial:
x - y = 5
xy = 14
x = y + 5
(y + 5)y = 14
y^2 + 5y - 14 = 0
(y + 7)(y - 2) = 0
y = -7 or y = 2
y = -7
xy = 14
-7x = 14
x = -2
y = 2
2x = 14
x = 7
Solutions:
x = -2, y = -7
x = 7, y = 2
For x = -2, y = 7
x^3 - y^3 =
= (-2)^3 - (-7)^3
= -8 - (-343)
= 335
For x = 7, y = 2
x^3 - y^3 =
= 7^3 - 2^3
= 343 - 8
= 335
If ∆ABC ≅ ∆DEF, which one of these is a pair of corresponding parts
Answer:
AB = DE
BC = EF
AC = DF
∠ABC = ∠ DEF
∠BAC = ∠EDF
∠BCA = ∠EFD
Step-by-step explanation:
As its congruent all the corresponding parts will be equal
The length of arcXY is 48cm. What is the circumference of circle Z?
Answer:
C
Step-by-step explanation:
In any circle the following ratios are always equal.
[tex]\frac{arc}{circumference}[/tex] = [tex]\frac{centralangle}{360}[/tex] , thus
[tex]\frac{48}{circum}[/tex] = [tex]\frac{60}{360}[/tex] = [tex]\frac{1}{6}[/tex] ( cross- multiply )
circumference = 6 × 48 = 288 cm → C