Mrs. Wheeler is finishing a craft and needs a piece of yarn that is 5.4 feet long. If Mrs. Wheeler has 54 inches of yarn, she __________. A. has enough yarn because 54 inches is 18 feet of yarn B. has enough yarn because 54 inches is 5.4 feet C. does not have enough yarn because 54 inches is 0.54 feet of yarn D. does not have enough yarn because 54 inches is 4.5 feet of yarn

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:

I'll be using the following variables and values

I will also be using the two kinematics equations

where Vi and Vf are the initial and final velocities respectively, 'a' is the acceleration, t is time, and x is displacement.

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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.

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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.

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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.  

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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.

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Let's find that value of t.

Recall the following three items

So,

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.

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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)

Answer:

[tex]x = 4[/tex]

Step-by-step explanation:

Solve for [tex]x[/tex] :

[tex]2x - 1 = 7[/tex]

-Add both sides by [tex]1[/tex] :

[tex]2x - 1 + 1 = 7 + 1[/tex]

[tex]2x = 8[/tex]

-Take [tex]2x[/tex] and divide it on both side of the equation:

[tex]\frac{2x}{2} = \frac{8}{2}[/tex]

[tex]x = 4[/tex]

So, the value of [tex]x[/tex] is [tex]4[/tex].

Answer:

d > 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

20%*80=20/100*80

=16

5/100*x=80

5x=80*100

5x=8000

X=8000/5

=1600

Answer:

7000.00 m

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

13 x 4 = 52

13 represents # of cars

4 represents tires per car

52 represents total tires

52 tires - 7 damaged tires = 45 undamaged tires

Answer:

45

Step-by-step explanation:

13 * 4=52

52-7=45

45 tires not damaged

Answer: 60 yd

Step-by-step explanation:

Here: subdivided into 3 smaller pens (2w + w + w) extra widths for separation purposes (3 smaller pens)

180 yards of fencing material

180yd = 2L + 4w

180dy = 2*60 + 4w

60dy = 4w

w = 15yd, how wide can the rectangle can  be with L = 60yd

Answer:

-5

Step-by-step explanation:

Your basic equation if y = mx + b

Convert your equation to the above format: y = -5x -2/3

Now you can see that your slope is -5

Answer:

- 5

Step-by-step explanation:

[tex]y = - \frac{2}{3} - 5x \\ y = - 5x - \frac{2}{3} ..(1) \\ equating \:equation \: by (1) \: \\ y = mx + b \\ slope \: (m) = - 5[/tex]

Answer:

well the square root of 49 is 7 . so maybe this will help you.

Answer:

[tex]\boxed {\tt 23}[/tex]

Step-by-step explanation:

In order to find the mean, we must add all the values together, then divide by the number of values.

1. Add the values together

2. Divide by the number of values.

Count how many values are in the set of data. There are 5 values. Divide by 5.

The mean is 23.

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...}

Answer: y= -5/7 x + 1/7

Step-by-step explanation:

Answer:

[tex]y=-\frac{5}{7} x+\frac{1}{7}[/tex]

Step-by-step explanation:

Equation of a line: [tex]y = mx+b[/tex]

m is the slope, and b is the y-intercept.

m = [tex]\frac{rise}{run} =\frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{-2-3}{3-(-4)} =-\frac{5}{7}[/tex]

Now, we have [tex]y=-\frac{5}{7} x+b[/tex]

We can insert one set of points in to solve for b.

We will use the first point (-4, 3):

[tex]3=-\frac{5}{7} (-4)+b[/tex]

[tex]\frac{5}{7}* \:4+b=3[/tex]

[tex]\frac{20}{7}+b=3[/tex]

[tex]b=\frac{1}{7}[/tex].

Equation:[tex]y=-\frac{5}{7} x+\frac{1}{7}[/tex]

(1) [tex]50y^3=5y\cdot 10y^2[/tex], and

[tex]10y^2\cdot(5y-4)=50y^3-40y^2[/tex]

Subtract this from [tex]50y^3+10y^2-35y-7[/tex] to get a remainder of

[tex](50y^3+10y^2-35y-7)-(50y^3-40y^2)=50y^2-35y-7[/tex]

What we've done here is show that

[tex]\dfrac{50y^3+10y^2-35y-7}{5y-4}=10y^2+\dfrac{50y^2-35y-7}{5y-4}[/tex]

We can keep going as long as the degree of the remainder's numerator is at least the same as the degree of its denominator.

Next, [tex]50y^2=5y\cdot 10y[/tex], and

[tex]10y\cdot(5y-4)=50y^2-40y[/tex]

Subtract this from the previous remainder to get a new remainder of

[tex](50y^2-35y-7)-(50y^2-40y)=5y-7[/tex]

which means

[tex]\dfrac{50y^3+10y^2-35y-7}{5y-4}=10y^2+10y+\dfrac{5y-7}{5y-4}[/tex]

Finally, [tex]5y=5y\cdot1[/tex], and

[tex]1\cdot(5y-4)=5y-4[/tex]

Subtract this from the previous remainder to get

[tex](5y-7)-(5y-4)=-3[/tex]

So we end up with

[tex]\dfrac{50y^3+10y^2-35y-7}{5y-4}=\boxed{10y^2+10y+1}-\dfrac3{5y-4}[/tex]

(the quotient is the expression in the box)

(2) Using the same process as before:

[tex]8m^4=2m\cdot4m^3[/tex]

[tex]4m^3\cdot(2m+1)=8m^4+4m^3[/tex]

[tex](8m^4-4m^2+m+4)-(8m^4+4m^3)=-4m^3-4m^2+m+4[/tex]

[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=4m^3-\dfrac{4m^3+4m^2+m+4}{2m+1}[/tex]

[tex]-4m^3=2m\cdot(-2m^2)[/tex]

[tex]-2m^2\cdot(2m+1)=-4m^3-2m^2[/tex]

[tex](-4m^3-4m^2+m+4)-(-4m^3-2m^2)=-2m^2+m+4[/tex]

[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=4m^3-2m^2-\dfrac{2m^2-m-4}{2m+1}[/tex]

[tex]-2m^2=2m\cdot(-m)[/tex]

[tex]-m\cdot(2m+1)=-2m^2-m[/tex]

[tex](-2m^2+m+4)-(-2m^2-m)=2m+4[/tex]

[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=4m^3-2m^2-m+\dfrac{2m+4}{2m+1}[/tex]

[tex]2m=2m\cdot1[/tex]

[tex]1\cdot(2m+1)=2m+1[/tex]

[tex](2m+4)-(2m+1)=3[/tex]

[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=\boxed{4m^3-2m^2-m+1}+\dfrac3{2m+1}[/tex]

Answer:

171 degrees (C)

Step-by-step explanation:

Because you have to find the overall angle you add both angles together, hence giving you 171 (C)

Answer:

171°

Step-by-step explanation:

Angle KJU = 67°     Angle UJI = 104°

By adding 67 and 104, you would get 171, which is the angle of KJI.

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]

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

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

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.

Answer:

A quadratic polynomial is a type of polynomial that cannot be factored

Examples are;

x^2 + 3x + 5

x^2 + 5x + 7

Step-by-step explanation:

A quadratic polynomial is a type of polynomial which cannot be factored. Just like prime numbers, it only has two factors, 1 and itself.

Hence, a quadratic polynomial does not have rational roots. Its roots are complex and not real

Example are as follows;

(i) x^2 + 3x + 5

(ii) x^2 + 5x + 7

[tex]\huge\sf\underline{\purple{❥}\pink{Q}\orange{U}\blue{E}\red{S}\green{T}\purple{I}\pink{O}\red{N}}[/tex]

# What does it mean if a quadratic polynomial

is prime? Give two examples of quadratic

polynomials that are prime. Now, find a quadratic

polynomial that is prime.

[tex]\huge\sf\underline{\purple{❥}\pink{A}\orange {N}\blue{S}\red{W}\green{E}\purple{R}}[/tex]

[tex]\color{red}{About \:Quadratic \: polynomials\: :-}[/tex]

➯ A polynomial having degree 2 is called a quadratic polynomial.

➯ The form of quadratic polynomial is

[tex]p(x) = a {x}^{2} + bx + c[/tex]

➯ Degree of the quadratic polynomial will be 2.

➯ Variable of the quadratic polynomial will be 1.

[tex]\color{red}{For \:example :-}[/tex]

[tex]p(x) = 2 {x}^{2} + 5x + 3 \\ 3 \:➝ \: constant \\ 2 \: and \: 5 \: ➝ \: coefficient \\ {}^{2} \: ➝ \: degree \\ x \:➝ \: variable \:[/tex]

➯ In a quadratic polynomial there are 2 zeros because it has degree 2.

[tex]\color{red}{➯ The \: 2\: zeros \:are :-}[/tex]

[tex]i) \: \: alpha( \alpha ) \: \\ ii) \: beta \: ( \beta )[/tex]

[tex]\color{red}{For \:example :-}[/tex]

[tex]p(x) = 2 {x}^{2} + 5 + 3 \\ = 2 {x}^{2} + 2x + 3x + 3 \\ = 2x(x + 1) + 3(x + 1) \\ = (x + 1)(2x + 3) \\ \\ As, \: \: p(x) = 0 \\ \\ ❥∴ \: (x + 1)(2x + 3) = 0 \\ x + 1 = 0 \\ x = - 1 \\ \\ ❥ \: 2x + 3 = 0 \\ 2x = - 3 \\ x = \frac{ - 3}{2} \\ \\ Here, \: \alpha = - 1 \\ \beta = \frac{ - 3}{2} [/tex]

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*

Answer:

A. i

Step-by-step explanation:

Hope it helped! Have a good day. <3

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

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

Answer:

C.{{1, 5.72), (2, 5.50), (3,5.25}}