Answer:
[tex] - 3x - 7(x + 4) \\ = - 3x - 7x - 28 \\ = - 10x - 28[/tex]
hope it helped you:)
Answer:
[tex]-10x-28[/tex]
Step-by-step explanation:
[tex]-3x-7(x+4)[/tex]
Expand by using distributive law: [tex]a(b+c)=ab+ac[/tex]
Therefore,
[tex]-3x-7*x+\left(-7\right)\cdot \:4[/tex]
[tex]-3x-7x-7\cdot \:4[/tex]
[tex]-3x-7x-28[/tex]
Add the x:
[tex]-10x-28[/tex]
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)
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!! ;-)
an athlete runs 8 miles from their house to the store on a path. the athlete then runs to a point m miles from their house on the same path. the athlete decides to finish the run by returning to the store. the athlete ran a total of 16 miles. formulate an absolute value equation to represent this situation. then solve the equation.
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.
To learn more about algebraic expression:
https://brainly.com/question/14087395
#SPJ2
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
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]
Learn more: https://brainly.com/question/1605083?referrer=searchResults
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.
To know more about Ohm's law follow
https://brainly.com/question/24858512
#SPJ2
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
20 percent of 80
5 percent is 80
Answer:
Step-by-step explanation:
20%*80=20/100*80
=16
5/100*x=80
5x=80*100
5x=8000
X=8000/5
=1600
h+p=4(k−7) for k please answer
Answer:
(28 + h + p)/4 = k
Step-by-step explanation:
Step 1: Write equation
h + p = 4(k - 7)
Step 2: Solve for k
Distribute 4: h + p = 4k - 28
Add 28 to both sides: 28 + h + p = 4k
Divide both sides by 4: (28 + h + p)/4 = k
helpp plzzz? thank uuuu
Answer: 30
Step-by-step explanation:
Answer:
10.
Step-by-step explanation:
First of all, the little 2 stands for multiply by 2 so multiply 5 by 2 then you will get 10. Add 10 and 10 so you will get 20. Then divide 20 by 2 and you will get 10!
Hope it helps!
OwO
what is the answer to 2x + 4 = x + 10
Answer:
6=x
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*x-4-(4*x-10)=0
Whole Numbers include both positive and negative numbers. t or f
Answer:
t
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
Whole numbers only have numbers from 0 forward with no fractions or decimals. {0, 1, 2, 3...}
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
A concert cleanup crew has 6 workers and one cleanup kit.
Which table shows w=6, the number of cleanup kits needed
for w workers?
Answer:
Option (D)
Step-by-step explanation:
At every 6 crew workers number of clean up kits required = 1
Therefore, for 1 crew worker number of kits required = [tex]\frac{1}{6}[/tex]
And number of kits required for w workers = [tex]\frac{w}{6}[/tex] = w ÷ 6
If w = 54
Number of kits required = [tex]\frac{54}{6}=9[/tex]
If w = 60
Number of kits required = [tex]\frac{60}{6}=10[/tex]
If w = 66
Number of kits required = [tex]\frac{66}{6}=11[/tex]
Therefore, table given in Option (D) is the correct table.
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]
i5=
Answer choices :
I
-I
1
-1
Answer:
A. i
Step-by-step explanation:
Hope it helped! Have a good day. <3
A watering can dispenses water at the rate of 0.25 gallon per minute. The original volume of the water in the can was 6 gallons. Which set of ordered pairs shows the volume of water in the can in gallons, (y) as a function of time in minutes, (x) from the first minute after the can starts dispensing water?
A. {{1, 6.0), (2, 5.75), (3, 5.50}}
B. {{6.0, 1), (5.75,2), (5.50, 3}}
C.{{1, 5.72), (2, 5.50), (3,5.25}}
D{{5.75,1), (5.50,2), (5.25, 3}}
Answer:
C.{{1, 5.72), (2, 5.50), (3,5.25}}
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
I need to know the answer
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.
Learn more about proportionality constant here:
brainly.com/question/18707816?referrer=searchResults
brainly.com/question/7977616?referrer=searchResults
Solving Inequalities
Algebra 1
Answer:
b[tex]\geq[/tex]-12
Step-by-step explanation:
Step 1- Subtract 10 from both sides of the inequality.
New inequality:
4b[tex]\geq[/tex]-48
Step 2- Divide by 4 on both sides of the inequality, to get your answer.
Answer:
b[tex]\geq[/tex]-12
what is one way to find the number of meters in 7 kilometers?
Answer:
7000.00 m
Step-by-step explanation:
EB = 33, BD = 5x - 10 and ED = 9x + 3. Find x.
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:
Which number line below is correct? * 1 point Option 1 Option 2 Option 3 Option 4
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 you know if an expression is a polynomial ?
Answer:
For an expression to be a polynomial term, any variables in the expression must have whole-number powers (or else the "understood" power of 1, as in x1, which is normally written as x). A plain number can also be a polynomial term.
Step-by-step explanation:
hurry I'm going to give free brainly to all who answer in 1 minute Q: If a person was born in 1962 how old would they be Q:16549x1348965 =? Q: What does SIMP mean easy but understanding
Answer:
they would be 58 rn. and simp means someone who is willing to do anything for someone they like. they try to get with that person everyday and they like them alot.
Step-by-step explanation:
hope this helped
1. person would be 58
2. 16549 x 1348965= 8834371785
3. a simp is someone who would do anything for someone and they dont really expect anything back except for a relationship *sad*
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.
