Express the following fraction in simplest form using only positive exponents.
6x^3
(2x^4)^2
Answer:
6*3=18
2*4=8*2=16
16
18
33
Step-by-step explanation:
Write the phrase as an algebraic expression and simplify if possible. Let x represent the unknown number
The sum of 3 times a number and -4 , added to 5 times the number
Answer:
(3x + -4) + 5x
Step-by-step explanation:
The algebraic expression is 8x - 4.
What are algebraic expressions?In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operation.
Now it is given that, x represents the unknown number.
And the given statement is,
The sum of 3 times a number and -4 , added to 5 times the number
So numerically it can be written as,
∵ 3 times a number = 3x
∴ sum of 3 times a number and -4 = 3x -4
and,
5 times the number = 5x
So, the algebraic expression we get,
3x - 4 + 5x
Simplifying it we get,
8x - 4
Thus, the algebraic expression is 8x - 4.
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The line segment is rotated 90 degrees counterclockwise about the origin to form C′D′. Which statement describes C′D′
Answer: the answer is CD is half the length of CD
Step-by-step explanation:
The square of a number, x, is 16 less than eight times the number. What is the number? Type the correct answer in the box. Use numerals instead of words.
Given :
The square of a number, x, is 16 less than eight times the number.
To Find :
The value of x .
Solution :
The mathematical equation with all given data is :
[tex]x^2=8x-16\\\\x^2-8x+16=0\\\\x^2-4x-4x+16=0\\\\x(x-4)-4(x-4)=0\\\\(x-4)^2=0\\\\x=4[/tex]
Therefore , the value of x is 4 .
Hence , this is the required solution .
The number is 4.
Given that,
The equation is [tex]x^2 = 8x - 16[/tex]Based on the above information, the calculation is as follows:
[tex]x^2 = 8x - 16\\\\x^2 - 8x + 16 = 0\\\\x^2 -4x - 4x + 16 = 0\\\\x (x - 4) - 4(x - 4) = 0\\\\(x - 4)^2 = 0\\\\x = 4[/tex]
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Brad’s checking account starts off with a balance of $126.50. Throughout the week, Brad pays a bill for $87.21, and pays $5.64 for breakfast. He deposits $15.00 but then pays another bill for $55.25. At the end of the week, he gets a notice from the bank that he has a negative balance. How much does Brad need to deposit into his account to get to a $0 balance?
Answer:
$6.60
Step-by-step explanation:
Twice a number increased by 3 is greater than six
Answer:
2x + 3 > 6
Step-by-step explanation:
Hopefully this helps you :)
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help
Select all that apply. Which expressions are equivalent to 6r + 12?
x(6 +12)
2(3x + 6)
6(x+12)
6(x + 2)
3(2x + 4)
Answer:
2(3x+6), 6(x+2), and 3(2x+4)
Step-by-step explanation:
how would you make this into an equation 10 more than the product of 7 and 8
Answer:
7*8+10=66
Step-by-step explanation:
Use the operations from the sentence into the equation and solve.
Alice has 3 pieces of cloth she embroiders different types of designs on each piece of cloth so that each design covers 1/16 of the cloth. How many types of designs can Alice embroider on the three pieces of cloth?
Answer:
48 designs
Step-by-step explanation:
Total pieces of clothes = 3
Area covered by each design on a piece of cloth = 1/16
How many types of designs can Alice embroider on the three pieces of cloth
Number of designs Alice can embroider on 3 pieces of cloth = Total pieces of cloth / area covered by each embroidery
= 3 ÷ 1/16
= 3 × 16/1
= 48
Therefore, Alice can embroidery 48 types of designs on the 3 pieces of clothes
square root of 8 is between 7 and 9 true or false
The given statement is false.
We have the following statement -
Square root of 8 is between 7 and 9.
We have to determine if it is true or false.
What do you mean by square root of a number ?Square root of a number is a value, which on multiplication by itself gives the original number.
According to the question -
A = [tex]\sqrt{8}[/tex] = 2.82
Clearly, it is not between 7 and 9.
Therefore, the statement is false.
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Find the are of the green in the circle.
Answer:
25.12 cm²
Step-by-step explanation:
The area of a circle is given by the formula ...
A = πr²
where r is the radius. Here, the diameter is given as 8 cm, so the radius will be half that, or 4 cm. The area is then ...
A = 3.14(4 cm)² = 50.24 cm²
The green shaded part is 1/2 a circle, so is half this area:
shaded area = 25.12 cm²
Which expression forms an equation? 60 ÷ 6 + 5, 40 ÷ 2 + 1, 40 ÷ 1 + 5, 60 ÷ 2 + 3
Answer:
None
An equation must have an equal to sign meaning an equation must state that what is on the right must equal to what is on the left.
Step-by-step explanation:
[tex]60 \div 6 + 5\\FALSE \\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\\\:60\div \:6\::\quad 10\\\\=10+5\\\\=15[/tex]
Ohms's law of electricity states that V=IR, where V is voltage, I the current, and R represents the resistance.
A(1).Rewrite The Equation to isolate I
B(2).If V=220 volts and R= ohms, what is the value for I?_____amperes.
C(3). Rewrite the equation to isolate R.
D(4).If V=550 and I=1.5 amperes, what is the value of R?_____ohms.
Answer:
1)
[tex] i = \frac{v}{r} [/tex]
2)no ohms
3)
[tex]r = \frac{v}{i} [/tex]
4)
[tex] \frac{550}{1.5} = r \\ \\ r = 366.66 [/tex]
A(1). The Equation to isolate I will be I = V / R.
B(2).If V=220 volts and R= 2 ohms, what is the value for I will be 110 amperes
C(3). The equation to isolate R will be R = V / I.
D(4).If V=550 and I=1.5 amperes, what is the value of R will be 366.66 Ohms.
What is Ohm's law?Ohms's law of electricity states that the current passing through the closed circuit is directly proportional to the voltage developed across the circuit.
Where R is the constant and called the resistance. The resistance is actually the restriction offered by the material in the flow of the charge or current.
The mathematical form of Ohm's law is given as:-
V=IR,
where V is voltage, I is current, and R represents the resistance.
A). The Equation to isolate I will be,
I = V / R.
B). If V=220 volts and R= 2 ohms, what is the value I will be
I = V / R
I = 220 / 2 =110 Volts.
C). The equation to isolate R will be,
R = V / I.
D). If V=550 and I=1.5 amperes, what is the value of R will be,
R = V / I
R = 550 / 1.5 = 366.66 Ohms.
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Jalil makes a generalization about writing numbers
in scientific notation. Complete his statement.
When you write a number greater than or equal
to 1 in scientific notation, the exponent of the power
of 10 will be
Answer: The exponent of the power of 10 will be positive
Step-by-step explanation: If the exponent is not negative the answer will always be more than 1 if it is the answer will be a decimal that is less than 1
On what interval is the function f(x) = -2|x + 1| − 3 decreasing?
A. (-1, ∞)
B. (-3, ∞)
C. (-∞, -1)
D. (-∞, -3)
Answer:
answer is b iam sure this is correct
Answer:
the answer is a
what is -18 - ( -18 )
Answer:
0
Step-by-step explanation:(-18)
- + - = +
So
(-18) + (18) is 0
Answer:
The answer would be 0.
Step-by-step explanation:
-18 - (18) = 0, because 0 can not ever be negative or positive.
It is the same as saying 18 - 18 which equals 0.
The density of a certain material is such that it weighs 7 pounds for every 5.5 cups of volume. Express this density in kilograms per pint. Round your answer to the nearest hundredth.
Answer:
[tex]Density = 1.1546\ kg/pint[/tex]
Step-by-step explanation:
Given
[tex]Mass = 7\ lb[/tex]
[tex]Cups = 5.5[/tex]
Required
Determine the density in Kg/Pint
Density is calculated as thus:
[tex]Density = \frac{Mass}{Volume}[/tex]
[tex]Density = \frac{7\ lb}{5.5\ cups}[/tex]
Convert pound to kg
[tex]Density = \frac{7/ 2.205\ kg}{5.5\ cups}[/tex]
[tex]Density = \frac{3.17515\ kg}{5.5\ cups}[/tex]
Convert cups to pint
[tex]Density = \frac{3.17515\ kg}{5.5/2\ pint}[/tex]
[tex]Density = \frac{3.17515\ kg}{2.75\ pint}[/tex]
[tex]Density = 1.1546\ kg/pint[/tex]
Josiah skateboarded from his house to school 4 miles away. It takes him 20 minutes. a. If Josiah's speed, in miles per minute, is constant, what is the constant of proportionality. *
b. How many minutes will it take Josiah to skateboard to his friend Sebastian's house, which is 3 miles from school, if he travels at the same rate that he did form his house to school?
Answer: 35 miles
Step-by-step explanation:
If 4 miles is 20 minutes that mean 1 mile is 5 minutes so just add 4+3 which is 7 then multiply that by 5 which is 35 so it takes him 35 minutes to go to his friends house
Given:
Josiah skateboarded from his house to school 4 miles away. It takes him 20 minutes.Josiah's friend Sebastian's house is 3 miles from school.To find:
The constant of proportionality.The time taken by Josiah on his skateboard to Sebastian's housea.
Distance from Josiah's house to school = 4 miles
Time taken by Josiah on a skateboard to cover 4 miles = 20 min
The speed of Josiah's skateboard = S
[tex]Speed=\frac{Distance}{Time}\\\\S=\frac{4 miles}{20 min}\\\\S=0.2 miles/min[/tex]
The Josiah's speed, the constant of proportionality is 0.2 miles per minute.
b.
Distance From school to Sebastian's house = 3 miles
Time taken by Josiah on a skateboard to travel to Sebastian's house from school = t
The Josiah's speed, the constant of proportionality = 0.2 miles/min
[tex]0.2 miles/min=\frac{3 miles}{t}\\\\t=\frac{3 miles}{0.2 miles/min}=15 min[/tex]
The time taken by Josiah on his skateboard to Sebastian's house is 15 minutes.
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Aliyah $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
Answer:
They are $2 dollars a piece
Someone please help! What is the solution to w - 9 = 15? 5 1/2 6 1/2 24 1/2 23 1/2
Answer:
w=24
Step-by-step explanation:
w-9=15
w=15+9
w=24
Answer:
24 1/2
Step-by-step explanation:
just did
Someone plz help me with this problem:
An elevator ascends from rest with an acceleration of 0.6 ms^2 before slowing down with a decelleration of 0.8 ms^2 for the next stop. The total time taken is 10 seconds. Find the distance between the stops. The answer is 17.1 but I dont understand how to get it . Dont answer if you dont know or I will report you.
I'll be using the following variables and values
t = duration of time from rest to max speed (before it starts to decelerate). This means the other portion of the trip takes 10-t seconds a1 = 0.6 = acceleration when elevator is speeding up a2 = -0.8 = acceleration when elevator is slowing down VS1 = start velocity #1 = 0 = elevator is at rest VF1 = final velocity #1 = final velocity when acceleration process stops VS2 = start velocity #2 = starting velocity when deceleration kicks in VF2 = final velocity #2 = final velocity when deceleration is done = 0 d1 = distance from rest to max speed (acceleration) d2 = distance from max speed to 0 (deceleration)I will also be using the two kinematics equations
Vf = Vi + at x = Vi*t + 0.5*at^2where Vi and Vf are the initial and final velocities respectively, 'a' is the acceleration, t is time, and x is displacement.
----------------------------------------------------------------------------------------------
To start, let's focus on just the accelerating portion of the journey.
The elevator starts at rest, so VS1 = 0. It reaches some current unknown final velocity, but we can calculate that as such
Vf = Vi + at
VF1 = VS1 + a1*t
VF1 = 0 + 0.6*t
VF1 = 0.6t
The elevator reaches a top speed of 0.6t meters per second after traveling and accelerating t seconds.
----------------------------------------------------------------------------------------------
Let's see how much the elevator is displaced after those t seconds (again only focus on the journey where the elevator is speeding up for now)
x = Vi*t + 0.5*at^2
d1 = VS1*t + 0.5*a1*t^2
d1 = 0*t + 0.5*0.6*t^2
d1 = 0.3t^2
The elevator travels 0.3t^2 meters when it is speeding up. We'll use this later.
----------------------------------------------------------------------------------------------
Now onto the portion where the elevator is slowing down.
The starting speed for this portion is VS2 = VF1 = 0.6t because the transition from the last bit of the accelerating portion to the decelerating portion has no gaps. Let's assume it's a smooth transition without any sudden bumps to make the ride uncomfortable.
Let's find the displacement for this portion.
x = Vi*t + 0.5*at^2
d2 = VS2*(10-t) + 0.5*a2*(10-t)^2 .... note the 10-t terms
d2 = 0.6t*(10-t) + 0.5*(-0.8)(100-20t+t^2)
d2 = 6t-0.6t^2 - 40+8t-0.4t^2
d2 = -t^2 + 14t - 40
This is the distance it travels from its top speed, decelerating all the way down to rest.
----------------------------------------------------------------------------------------------
Add the two distances
d = total distance
d = d1+d2
d = ( d1 ) + ( d2 )
d = ( 0.3t^2 ) + ( -t^2 + 14t - 40 )
d = 0.3t^2 - t^2 + 14t - 40
d = -0.7t^2 + 14t - 40
If we knew the value of t (as defined at the very top of this solution), then we could find the total distance traveled.
----------------------------------------------------------------------------------------------
Let's find that value of t.
Recall the following three items
Vf = Vi + at VS2 = VF1 = 0.6t VF2 = 0So,
Vf = Vi + at
VF2 = VS2 + a2*(10-t) ..... note the 10-t portion
0 = 0.6t + (-0.8)(10-t)
0 = 0.6t - 8 + 0.8t
0 = 1.4t - 8
8 = 1.4t
1.4t = 8
t = 8/1.4
t = 5.714 approximately
It takes about 5.714 seconds for the elevator to go from rest to its top speed, before the elevator starts the deceleration process.
----------------------------------------------------------------------------------------------
We can now find the value of d
d = -0.7t^2 + 14t - 40
d = -0.7(5.714)^2 + 14(5.714) - 40
d = 17.1411428
d = 17.1 is the approximate total distance traveled (in meters)
Solve for x. 3(x−4)/2=9 Enter your answer in the box. x =
Answer:
x = 10
Explanation:
Answer:
x=5
Step-by-step explanation:
3(x-4)/2=9
Distribute 3
3x-12/2=9
3x-6=9
add 6 to both sides
3x=15
divide both sides by 3
x=5
2 1/3 + 6 3/5 = What ?
Answer:
[tex]8\frac{14}{15}[/tex]
Decimal form: [tex]8.933333[/tex]
Step-by-step explanation:
[tex]2 \frac{1}{3}+6\frac{3}{5}[/tex]
To solve, you will need to add.
First, add the whole number together.
[tex]2+6=8[/tex]
[tex]\frac{1}{3}+\frac{3}{5} \\=14/15[/tex]
So now add everything together(the whole number and fraction).
[tex]8+\frac{14}{15}=8\frac{14}{15} (Answer)[/tex]
Hope this helps!
EB = 33, BD = 5x - 10 and ED = 9x + 3. Find x.
Which statement best describes the value of V8? I’m so confused:((
Answer:
c
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
√8 = 2.828
Just simplfy it, and then check where it lies between.
Hope this helped!
:D
What is another name for line n?
Oline ST
line P
line QP
line
A line is found to be a one dimensional figure, which has length but no width. The another name for the line n is line. The two points which lie on the same line are called collinear points. The correct option is D.
What is a line?A straight set of points which can extend in opposite directions can be defined as the line. It has no ends in both directions, no thickness and it is one dimensional. It is determined by two points in a two dimensional plane.
In geometry, there are different types of lines like horizontal and vertical lines, parallel and perpendicular lines. The lines play an important role in the construction of different types of polygons.
A square is made by four lines of the same lengths, whereas a triangle is made by joining three lines end to end.
Thus the correct option is D.
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Which is a base unit used in metric system ?
Answer:
lenght
Step-by-step explanation:
Answer:answer is liters. :D
Step-by-step explanation:
How do I simplify an expression that's already simplified? (Example 8x + 13x)
Step-by-step explanation:
8x + 13x
= 21x
Ax + Bx
= (A+B)x
what is the value of 0.75 - 0.6? write your answer as a fraction in lowest terms.
Answer:
3/20
Step-by-step explanation:
.75 - .6 = .15
put .15 over 100 then simplify by 5 =3/20
Answer:
3/20
Step-by-step explanation:
0.75= 75/100
0.6= 60/100
75/100- 60/100= 15/100
15/100 ---> 3/20
Hope this helps!
49 - (32+8.3) I need help doing this
Answer:
234
Step-by-step explanation:
Answer:
The answer would be 8.7
Step-by-step explanation:
First, you would start with the parentheses. So add 32+8.3 to get 40.3.
The equation will look like this: 49-40.3
The final step would be subtraction.
49-40.3= 8.7
You will get 8.7 as your answer!
I hope this helps!! ;-)
