A group of workers is harvesting carrots at a constant rate. An equation that represents the number of bushels of carrots the workers picked over a period of time, in hours, is y=6x+2. What are the rate of change and the initial amount? Explain the meaning of the rate of change and the initial amount for this situation.

Answer:

Range is 7 to 42

Step-by-step explanation:

$60

Step-by-step explanation:

The unit rate can be determined by dividing $24 by 8 attendees to get

[tex]\dfrac{\$24}{8\:\text{attendees}} = \$3/\text{attendee}[/tex]

so when 20 people are attending the graduation picnic, his total cost is going to be

[tex]20\:\text{attendees}×\dfrac{\$3}{\text{attendee}} = \$60[/tex]

9514 1404 393

Answer:

  B

Step-by-step explanation:

Angles A and C are vertical angles; angles B and C are alternate interior angles. Only line 3 of the proof is in error.

The applicable description is found in choice B.

The car will travel a distance of 52.08 seconds will the brakes applied before it stops

The acceleration of the car after t seconds that the brake was applied is given as:

[tex]a=-0.08t m/s^2[/tex]

The speed of the car after  3 seconds that the brake was applied, u = 5 m/s

The speed of the car when it eventually stops, v = 0m/s

3 seconds after the brake was applied:

The time, t = 3 seconds

substitute t = 3 into the acceleration  [tex]a=-0.08t m/s^2[/tex]

[tex]a=-0.08(3)m/s^2\\\\a = -0.24m/s^2[/tex]

To calculate the distance traveled by the car after the brakes are applied, use the equation below

[tex]v^2=u^2+2as[/tex]

Substitute u = 5, a = -0.24, and v = 0 into the equation above in order to calculate the distance

[tex]0^2=5^2+2(-0.24)s\\\\0=25-0.48s\\\\0.48s = 25\\\\s = \frac{25}{0.48}\\\\s = 52.08 m[/tex]

The car will travel a distance of 52.08 seconds will the brakes applied before it stops

Learn more here: https://brainly.com/question/25597363

Answer:

8y⁴+25y³+60y²+10y+7

Step-by-step explanation:

8y⁴+y³+y²+24y³+3y²+3y+56y²+7y+7

8y⁴+25y³+60y²+10y+7

Answer:

8y^4+25y^3+60y^2+10y+7

Step-by-step explanation:

(y^2+3y+7)(8y^2+y+1)

We are going to multiply the first term, y^2, by the whole second part (8y^2+y+1)

8y^4+y^3+y^2

now we multiply the 2nd term, 3y, by the whole second part (8y^2+y+1))

24y^3+3y^2+3y

now we do the same to the last term, 7.

56y^2+7y+7

now we need to add all three of our products together

(8y^4+y^3+y^2)+(24y^3+3y^2+3y)+(56y^2+7y+7)

adding like terms:

8y^4+y^3+24y^3+y^2+3y^2+56y^2+3y+7y+7

we get:

8y^4+25y^3+60y^2+10y+7

Answer:

A 4 Feet

Explanation 4yards=12feet 12 divided by 3=4

The minimum score Jenny need on that exam to have an overall mean of 80 is 98.

In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).

Given that, after three exams, Jenny has a mean score of 74.

Let the minimum score of the one exam remaining be x

Now, (3×74+x)/4 =80

⇒ 222+x=320

⇒ x=320-222

⇒ x=98

Therefore, the minimum score Jenny need on that exam to have an overall mean of 80 is 98.

To learn more about an arithmetic mean visit:

https://brainly.com/question/15196910.

#SPJ2

Answer:

Question is missing

Step-by-step explanation:

Question missing

Answer:

unknown number = 1

Step-by-step explanation:

Let the unknown number be x.

(8×x)-6=2

   8x-6=2

       8x=2+6

           =8

         x=8÷8

           =1

Hence, unknown number = 1.

Answer:

1.34

Step-by-step explanation:

2x67/100

= 134/100

= 1.34

Answer:

7/8

Step-by-step explanation:

7/16×2=7/16×2/1

          =14/16

          =7/8

Answer:

Decimal = -1.375, Fraction = -11/8

Step-by-step explanation:

Decimal:

-2.25 + 0.4x = -2.8

0.4x = -0.55

x = -1.375

Fraction:

-9/4 + 2/5x = -14/5

-45/20 + 8/20x = -56/20

8/20x = -11/20

x = -11/8

Hopefully this helps!

Brainliest please?

Answer:

16,32,16

Step-by-step explanation:

We can see that there is a pattern in this ratio table- 4, 8, 12. I can assume that the next number will be 16, beucase 4+4=8, 8+4=12, 12+4=16.  For the apple juice, we just follow the same pattern as for the orange juice, by adding the number by itself, so the patttern is 8, 16,24, 32.

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Volume of cone will be ~

[tex]\fbox \colorbox{black}{ \colorbox{white}{volume} \:  \:  \:   \:  \: \colorbox{white}{=}  \:  \:  \:   + \colorbox{white}{462 \: cm³ }}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's find the volume of cone with ~

And as we know, volume of cone is equal to ~

now, let's plug in the values and find the volume ~

Volume of cone is 462 cm³ = 462 ml

Answer:

x=-5

Step-by-step explanation:

-6x-3=27

add 3 to both sides

-6x=30

divide both by -6

x=-5

I hope this helped :)

Answer:

[tex] \sf \: x = - 5[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ -6x - 3 = 27

Then the value of x will be,

→ -6x - 3 = 27

→ -6x = 27 + 3

→ -6x = 30

→ x = 30 ÷ (-6)

→ [ x = -5 ]

Hence, the value of x is -5.

Answer:

(2,11)

Step-by-step explanation:

what i did was actually substitution

It's like ..what I do when I've forgotten how to solve a particular equation in math or even physics

But I'd recommend you find the real solution cuz there's a formula

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

(3*x+7)^2+5-((7*x-9)^2*x+5)=0

Step by step solution :

STEP1:

Equation at the end of step 1

(((3x+7)2)+5)-(x•(7x-9)2+5) = 0

STEP2:

Checking for a perfect cube

2.1 -49x3+135x2-39x+49 is not a perfect cube

Trying to factor by pulling out :

2.2 Factoring: -49x3+135x2-39x+49

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -39x+49

Group 2: -49x3+135x2

Pull out from each group separately :

Group 1: (-39x+49) • (1) = (39x-49) • (-1)

Group 2: (49x-135) • (-x2)

Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

Find roots (zeroes) of : F(x) = -49x3+135x2-39x+49

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is -49 and the Trailing Constant is 49.

The factor(s) are:

of the Leading Coefficient : 1,7 ,49

of the Trailing Constant : 1 ,7 ,49

Let us test ....

Equation at the end of step

2

:

-49x3 + 135x2 - 39x + 49 = 0

STEP

3

:

Cubic Equations:

3.1 Solve -49x3+135x2-39x+49 = 0

Future releases of Tiger-Algebra will solve equations of the third degree directly.

Meanwhile we will use the Bisection method to approximate one real solution.

Approximating a root using the Bisection Method :

We now use the Bisection Method to approximate one of the solutions. The Bisection Method is an iterative procedure to approximate a root (Root is another name for a solution of an equation).

The function is F(x) = -49x3 + 135x2 - 39x + 49

At x= 3.00 F(x) is equal to -176.00

At x= 2.00 F(x) is equal to 119.00

Intuitively we feel, and justly so, that since F(x) is negative on one side of the interval, and positive on the other side then, somewhere inside this interval, F(x) is zero

Procedure :

(1) Find a point "Left" where F(Left) < 0

(2) Find a point 'Right' where F(Right) > 0

(3) Compute 'Middle' the middle point of the interval [Left,Right]

(4) Calculate Value = F(Middle)

(5) If Value is close enough to zero goto Step (7)

Else :

If Value < 0 then : Left <- Middle

If Value > 0 then : Right <- Middle

(6) Loop back to Step (3)

(7) Done!! The approximation found is Middle

Next Middle will get us close enough to zero:

F( 2.596896529 ) is 0.000000414

The desired approximation of the solution is:

x ≓ 2.596896529

Note, ≓ is the approximation symbol

One solution was found :

x ≓ 2.596896529

Answer:

3.1

Step-by-step explanation:

lemme know if you want the explanation

Answer:

the answer isn't there, but the answer is $93.75

Step-by-step explanation:

Answer:

The last one

Step-by-step explanation:

-4 1/3 is less than -1 3/4 because its farther on the negative side and -1 3/4 is closer to the positive side

Answer:

x > 5

Step-by-step explanation:

14 -14 - 3 x < -1 -14

-3 x < -15

-3 x / -3 < -15 / -3

x > 5

Answer:

28 is 10% of 280

Steps to solve "28 is 10 percent of what number?"

We have, 10% × x = 28

or,  

10

100

× x = 28

Multiplying both sides by 100 and dividing both sides by 10,

we have x = 28 ×  

100

10

x = 280

If you are using a calculator, simply enter 28×100÷10, which will give you the answer.

Answer:

Step-by-step explanation:

40cos70 = 13.68080573... 13.681 ft.

Answer:

Line A:  constant of proportionality is 4/3

Step-by-step explanation:

The equation in question is y = (4/3)x, where (4/3) is the constant of proportionality as well s the slope of the line.  The only line here that has a slope greater than 1 is the blue line (A).

Answer:

3/4x - 5 = x

= -3/10 -> -0.15

2 Decimal places = 0.150

Answer:

Step-by-step explanation:

What’s it’s answer I am wonder