Step-by-step explanation:
Solution
( b - a )^ - 3 = ( 5-4 )^ - 3 = ( 1 )^ - 3 = 1
The value of expression is, 2
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Expression is,
⇒ (b - a)⁻³c
And, a = 4, b = 5 , c = 2
Now, We can simplify as;
⇒ (5 - 4)⁻³ × 2
⇒ 1 × 2
⇒ 2
Thus, The value of expression is, 2
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After falling 23 degrees f, the temperature is now 51 degrees f. What was the starting temperature?
Answer:
74
Step-by-step explanation:
its easy so you add 23 and 51 and you got the answer.
June's mother was 29 when June was 5 years old. How old will June be when she is one-quarter her mother's age?
Given :
June's mother was 29 when June was 5 years old.
To Find :
How old will June be when she is one-quarter her mother's age.
Solution :
Let, age of June when she is one-quarter her mother's age is x and mother's age is y.
So, y = 4x ...1)
Also, we know that difference between two person's age is constant.
So, y - x = 29-5
y - x = 24 ...2)
Solving equation 1 and 2, we get :
[tex]4x -x = 24\\\\3x = 24\\\\x = 8[/tex]
y = 32
Therefore, June will be 8 years old when is one-quarter her mother's age.
Allison sent and received 240 text messages last month. 20% of those messages were sent to her best friend. How many text messages did Allison send to her best friend last month?
Answer:
48
Step-by-step explanation:
because 20% of 240 is 48.
Solve 5(2x – 3) = x – 15 + 9x for x.
Answer:
Given
5(2x – 3) = x – 15 + 9xSolving for x
5(2x – 3) = x – 15 + 9x10x - 15 = 10x - 15Both sides are equal, any value of x is a solution, so infinitely many solutions
Step-by-step explanation:
[tex]5(2x - 3) = x - 15 + 9x \\ 10x - 15 = 10 x - 15[/tex]
Both the sides are equal
Hence no specific value of x
Therefore, x has infinite value.
I need help plz! ;((
Answer:
I think option B is correct
Select the correct equations.
Identify all of the linear functions.
2x + 5y = 13
-x2 = 3y + 10
3(2x + y) = 14
y = 13- 2x2
2 = y + x5
y = x + 7
Answer:
A linear equation is of the form:
y = a*x + b
Where a and b are real numbers, and we only have one term with x, and no powers of x larger than 1.
Let's rearrange all the given options to see if they take this form. I will isolate x for all of them.
a) 2x + 5y = 13
5y = -2*x + 13
y = (-2/5)*x + 13/5
(this is a linear equation)
b) -x^2 = 3y + 10
-3*y = x^2 + 10
y = (-1/3)*x^2 + 10/3
(this is not a linear equation)
c) 3(2x + y) = 14
6x + 3y = 14
3y = 14 - 6x
y = (-6/3)*x + 14/3
(this is a linear equation)
d) y = 13 - 2*x^2
(this is not a linear equation, we have a x^2 there)
e) 2 = y + x^5
-y = x^5 - 2
(this is not a linear equation, we have a x^5 there)
f) y = x + 7
we can rewrite this as:
y = 1*x + 7
(this is a linear equation)
Answer:
i just wanted to say, that I took the test and A and F are correct, but C (the person above me says C is correct) is not correct
Step-by-step explanation:
Cassandra paid $32 for a shirt that originally cost $50. What percent of the original price did the shirt cost?
Answer:
22%
Step-by-step explanation:
You just subtract the numbers
Answer:
64%
Step-by-step explanation:
To find a percent, you have to divide the new cost by the original cost, then multiply the answer by 100.
(32/50)*100
= 0.64 * 100
= 64%
geometry help please!
Answer:
x+16=4x-5
16+5=3x
21=3x
21/3=x
x=7
Part C
Write a question or define an attribute of the data that you couldn't answer or see with the original histogram, but can
now answer or see with the new histogram.
Answer:
This is the sample answer:
The new histogram shows that 7 trucks have a fuel efficiency of 10 to 14 miles per gallon. It’s also possible to see that the shape of the data is skewed right.
Step-by-step explanation:
Solve the following system of equations. 4y+3z=-7
12x-3y+z=-7
-6x+2y-2z=12
Step-by-step explanation:
12x-3y+z=-7 ‖-12x+3y
z=-7-12x+3y
so you can replace z with (-7-12x+3y)
4y+3*(-7-12x+3y)=-7
4y+(-21-36x+9y)=-7
13y-21-36x=-7 ‖+21
13y-36x=14 ‖-13y
-36x=14-13y ‖*(-1)
36x=-14+13y ‖/3
12x=-14/3+13/3y
so-6x=+14/6-13/6y
(+14/6-13/6y)+2y-2*(-7-(-14/3+13/3y)+3y)=12
(+14/6-13/6y)+2y+14-28/3+26/3y-6y=12
(+14/6-13/6y)+2y+14-56/6+52/6y-6y=12
7+2.5y=12 ‖-7
2.5y=5 ‖/2.5
y=2
so
4y+3z=-7
4*2+3z=-7
8+3z=-7 ‖-8
3z=-15 ‖/3
z=-5
12x-3*2+(-5)=-7
12x-6-5=-7
12x-11=-7 ‖+11
12x=4 ‖/12
x=1/3
Which
graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then
decreases its speed, as time increases?
Answer:
I believe the answer would be
Step-by-step explanation:
a graph that goes up and then is a straight line then it goes down.
In other words the graph would be A.
PLS be quick and answer as best as you can
The following equation was written on the chalkboard: Δ + Δ + ◊ + Ꙫ ─ Δ = Ω. If Δ = 4, Ꙫ = 3 and Ω = 12, what is the value of ◊?
Answer:
4+4+x+3-4=12
8+x-1=12
7+x=12
x=12-7
=5
answer is 5
Find tan theta.
A.16/20
B.12/20
C.16/12
D.12/16
Answer:
16/12
Step-by-step explanation:
SOHCAHTOA
TOA - tan theta = Opposite/ Adjacent
Tan theta = 16/12
= 16/12
if you were told to find theta, then
tan inverse ( 16/12)
theta will be 53.13 degrees
The tangent of the given right angle triangle is [tex]\frac{16}{12}[/tex].
What is a right angle triangle?A right angle triangle is a triangle in which one of the three angles is a right angle.
What is the tangent of an angle in a right angle triangle?"In any right angle triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A). In a formula, it is written simply as 'tan'."
Given, Base of the right angle triangle is = 12.
The height of the right angle triangle is = 16.
The hypotenuse of the right angle triangle is = 20.
The angle between the base of the triangle and the hypotenuse is = θ.
Now, tan θ
[tex]= \frac{Height}{Base}\\= \frac{16}{12}[/tex]
Therefore, tan θ of the given right angle triangle is [tex]\frac{16}{12}[/tex].
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Quartile represent what percent of data.
A. 35%
B. 50%
C.25%
D.30%
What is 6,618 feet in yards
Answer:
2,206 yards
Step-by-step explanation:
To find how many yards there are, we can divide by 3.
6618 / 3 = 2206
Best of Luck!
Answer:
6,618 feet is 2,206 yards.
Step-by-step explanation:
if i bike travels 15m in 2 sec, what is its speen in km/h?
Answer:
x=27 km
Step-by-step explanation:
Make an equation 2/.015=3600/x
Multiply 3600 by .015 to get 54
Divide 54 by 2 to get 27.
9514 1404 393
Answer:
27 km/h
Step-by-step explanation:
(15 m)/(2 s) = (15 m)/(2 s)×(1 km)/(1000 m)×(3600 s)/(1 h)
= (15×1×3600)/(2×1000×1) km/h = 15×1.8 km/h = 27 km/h
who wants brainlest?
what is 5 thousand + 1 ?
(very hard)
who is the most popular gamer on yt
(pls sub to him)
do you like roblx or mincraft or both
bonus question:
(five stars)
witch is better
mincraft or roblx
(your opinion)
if you want to compete in the next brainlest competition, friend me, or follow my questions, to keep yourself updated............
:)
Answer:
5001
PewDiePie
both!!
rblx, since there r similar games like mincraft in it lol
Answer:I want brainlest,5001 SUPA HARD pewdiepie (i subed)
I prefer minecraft i like both
Step-by-step explanation:
Not sure if thats what u wanted lol :D
If adora watched a video that's 21:58 minutes long what time will she have to start watching to finish exactly at 11:59pm
Answer:
11:37.02 pm
Step-by-step explanation:
11:59 pm - 21:58 minutes = 11:37.02 pm
lest common multiple of 60 and 90
Answer:
180
Step-by-step explanation:
ILL GIVE U A BRAINLIEST! NEED HELP ON TIMER
Which point is located on the x-axis?
On a coordinate plane, point A is at (0, 3), point B is at (3, 3), point C is at (3, 0), and point D is at (negative 3, 3).
Answer:
0,3 hddjbdhfjdndjdkdbdjdnd
-w=-10+4w
Step by step to please
w=2
Step-by-step explanation:
-w=-10+4w
10=4w+w
10=5w
10/5=w
2=w
pls help asap no trolls!
Answer:
HI
Step-by-step explanation:
In a triangle, the length size of each side corresponds to the size of the degree of the angle opposite it.
This means, the biggest angle would be opposite the side with the longest length, while the angle with the least degree will be opposite the side that is the smallest.
In ∆HIJ, the least angle measure is <J (54°).
Side length opposite to <J is HI.
Therefore the smallest side of ∆HIJ is HI
An electrician collected $1265.23 for a job that included $840 labor, which was not taxed, and the rest for parts, which were taxed at 6%. Determine how much of the total was tax.
Answer:
Total tax = $25.51
Step-by-step explanation:
Total collection = $1265.23
Tax-Free amount = $840
so
Taxable amount = $1265.23 - $840
= $425.23
Given that the taxable amount was taxed at 6%
Thus,
The total tax = 6% of 425.23
= 6/100 × 425.23
= 0.06 × 425.23
= $25.51
Therefore,
Total tax = $25.51can some one plz help me with this sienice qustion (will give brainlest)
Answer:
A
Step-by-step explanation:
Point P is located at (4,8) on a coordinate plane. Point P will be reflected over the x - axis. What will be the coordinates of the image point of point P?
A. (8, 4)
B. (-4, -8)
C. (4, -8
D (-8, 4)
Answer:
C. (4, -8)
Step-by-step explanation:
To reflect a point over a straight horizontal line, start from the original point and count how many units it takes to reach that line (going vertically). Keep that number in mind. Then, at that same point on the line, go vertically again and count that many units going away from the line. The point where you stop would be the reflected point.
In this case, starting from (4, 8) and then going down towards the x-axis would take 8 units. Taking that number and counting another 8 units down would land you at (4, -8). Therefore, (4, -8) is the answer.
Please look at the attached image for a clear visual explanation.
solve by substitution 3x +y=13 and 5x-2y=7
Answer:
x=3
y=4
Step-by-step explanation:
I'm using 3x+y=13 to find y, then plug y into the second equation.
y= -3x+13
5x-2(-3x+13)=7
find x.
5x+6x-26=7
11x=33
x=3
now plug x into 3x+y=13(you could do it with the other equation too)
3(3)+y=13
y=13-9
y=4
The value of x and y is 3, and 4 respectively by the substitution method.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a system of equations;
3x +y=13 ...(1)
5x-2y=7 ...(2)
By using the substitution method.
[tex]\rm 5\cdot \dfrac{13-y}{3}-2y=7[/tex]
y = 4
Plug y = 4 in equation (1)
3x + 4 = 13
x = 3
Thus, the value of x and y is 3, and 4 respectively by the substitution method.
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I am extremely confused. Any help?
Answer:
(x-4)(5x³+18x²+54x+215)+860
Step-by-step explanation:
This follows that when the fourth degree polynomial is divided by the monomial(x-4),it gives a third degree polynomial and some remainder r
That is:
5x⁴-2x³-18x²-x/x-4=(ax³+bx²+cx+d)+r
if so,then
5x⁴-2x³-18x²-x=(x-4)(ax³+bx²+cx+d)+r
5x⁴-2x³-18x²-x=ax⁴+bx³+cx²+dx-4ax³-4bx²-4cx-4d+r
5x⁴-2x³-18x²-x=ax⁴+x³(b-4a)+x²(c-4b)+x(d-4c)-4d+r
We can now equate the similar terms thus,the terms with the same power of x on both sides
5x⁴=ax⁴,a=5
Again,
b-4a=-2,but a=5
b-4(5)=-2
b-20=-2
b=18
Again,
c-4b=-18(but b=18)
c-4(18)=-18
c-72=-18
c=54
Again,
d-4c=-1(but c=54)
d-4(54)=-1
d-216=-1
d=215
Finally,
-4d+r=0(but d=215)
-4(215)+r=0
r-860=0
r=860
This means that when 5x⁴-2x³-18x²-x is divided by x-4,it gives5x³+18x²+54x+215 with a remainder of 860
Now rewriting it in the form as required by the question=(x-4)(5x³+18x²+54x+215)+860
What does the word slope mean?
What is 3/8 as a decimal representation and as a percent representation
Answer:
0.375 and 37.5%
Step-by-step explanation:
3/8 = 0.375
0.375*100=37.5%
Find the value of x that will make A||B.
A
В
4x
2x
x
[?]
Answer:
[tex]x = 30^{\circ}[/tex]
Step-by-step explanation:
Given
Parallel lines A and B
Required
Determine the value of x
From the attachment, 2x and 4x are consecutive interior angles and the theorem of consecutive interior angles is that:
[tex]2x + 4x = 180[/tex]
Solving further, we have:
[tex]6x = 180[/tex]
Divide both sides by 6
[tex]\frac{6x}{6} = \frac{180}{6}[/tex]
[tex]x = \frac{180}{6}[/tex]
[tex]x = 30^{\circ}[/tex]