Jenna works in an ice cream shop. When she starts her shift, the tub of chocolate ice cream is 23 full. When she finishes her shift 612 hours later, there is only 16 of the tub left. What was the average hourly change in tub fullness?

Answer:

x = - 4 , x = 0

Step-by-step explanation:

7x³ + 28x² = 0 ← factor out 7x² from each term on the left side

7x²(x + 4) = 0

equate each factor to zero and solve for x

7x² = 0 ⇒ x² = 0 ⇒ x = 0

x + 4 = 0 ⇒ x = - 4

Answer:

C: 51X+42Y

13x + 38x + 9y + 33y

adding,

51x + 42y so option C

Answer:

It is the same as subtracting 6.

Step-by-step explanation:

1 + (-6) = 5

1 - 6 = 5

The tanker has been filling the reservoir for 4 minutes given that it fills at a rate of 10 1/4 gallons per minute.

Rate refers to the relationship of two quantities of different units. Usually, it is a measure or quantity of something per unit time.

rate = amount / time

If a tank truck fills the gas station's reservoir at the rate of 10 1/4 gallons per minute, and if the reservoir is empty at the start and become 41 gallons full, we can determine how long the tanker has been filling the reservoir by dividing the final amount by the rate.

time = amount / rate

where amount = 41 gallons

rate = 10 1/4 gallons per minute

time = 41 gallons / 10 1/4 gallons per minute

time = 4 minutes

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The required probability that they differ in length by more than 10 cm is 1.

Given that,
A hardware store sells planks of wood. the lengths, in centimeters, of the planks are normally distributed with a mean of 210 and a standard deviation of 7. two planks are selected at random. find the probability that they differ in length by more than 10 cm is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,

The
P(x > 10) = p(z = (x - μ)/σ)
P(x > 10) = p(z = (10 - 210)/7)
P(x > 10) = p(z = -28.57143)
P(x > 10) = 1

Thus, the required probability that they differ in length by more than 10 cm is 1.

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Answer:

-10x + 25

Step-by-step explanation:

We will distribute the - 5 in to 2x which is - 10x

Then distribute - 5 to - 5 which is 25

26.27 kgm⁻³

Density is the ratio of  mass to volume

Density = Mass / Volume

Let us assume tree is a cylinder,

d= 1

r = d/2 = 0.5 m

h= 20 m

m= 420kg

Volume = π r²h

              = 22/7 x o.25 x 20

Density = mass / volume

              = 420 / 22/7 x o.25 x 20

              = 26.27 kgm⁻³

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The percentage of fat in this hamburger sample is 15 %.

Percentage is the value per hundredth.

According to the given question a sample of hamburger had a total mass of 200. g, of which 30.0 g was found to be fat.

To find what percentage of the hamburger contains fat we put amount of fat in the numerator and total amount on the denominator and multiply this fraction by 100 to obtain the result in terms of percentage.

∴ (30/200) × 100

= 3000/200

= 30/2

= 15 %.

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Answer:

Which equation do I refer to?

Step-by-step explanation:

Answer:  I guess?

Step-by-step explanation:

Answer: 3.8

Step-by-step explanation:

25.0

-

21.2

--------------

3.8

The value of the function at x = -3, -2, 0, 1, and 5 will be -7, -5, -1, 1, and 9, respectively.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The function is given below.

f(x) = 2x - 1

The value of the function at x = - 3 will be

f(-3) = 2(-3) - 1

f(-3) = - 6 - 1

f(-3) = - 7

The value of the function at x = - 2 will be

f(-2) = 2(-2) - 1

f(-2) = - 4 - 1

f(-2) = - 5

The value of the function at x = 0 will be

f(0) = 2(0) - 1

f(0) = 0 - 1

f(0) = - 1

The value of the function at x = 1 will be

f(1) = 2(1) - 1

f(1) = 2 - 1

f(1) = 1

The value of the function at x = 5 will be

f(5) = 2(5) - 1

f(5) = 10 - 1

f(5) = 9

The value of the function at x = -3, -2, 0, 1, and 5 will be -7, -5, -1, 1, and 9, respectively.

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Answer:

I am not 100% sure more like 12% sure that it is c

Step-by-step explanation:

5/6 - 1/9=?/? - ?/? = ?/? , value of each (?/?) is

5/6 -1/9 =15 /18 -2/18 =13 /18.

As given,

5/ 6 - 1/9 =?/? -?/? =?/?

Convert the given terms into like terms

Least common multiple of (6,9)=18

Value of each ( ?/?)

(5/6 ) × ( 3/3) -(1/9) × (2/2)

= 15 /18 - 2/18

= 13 /18

Therefore,5/6 - 1/9 = ?/? - ?/? = ?/? , value of each (?/?) is equal to

5/6 -1/9 = 15 /18 -2/18 = 13/18.

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Answer:

Step-by-step explanation:

12

The value of Cos(4π/3) is (-1/2) i.e., negative one half.

The given function is Cosine (Start fraction 4 pi over 3 end fraction) and this can be written simply as,

Cos(4π/3)

On splitting 4π/3 in two parts, this can also be written as

= Cos(π + (π/3))

(π + (π/3)) lies in the third quadrant and in the third quadrant the value of cosine function is negative. So, using quadrant sign for cosine function, this can be written as

= -Cos(π/3)

Now, Substitute the value of Cos(π/3) = 1/2.

= (-1/2)

Cos(4π/3) = (-1/2)

The value of Cos(4π/3) is (-1/2) i.e., negative one half.

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Answer:

It's B

Step-by-step explanation:

Answer:

The length is 5.

Step-by-step explanation:

Since the proportions are the same, 3 is 3 times less than 9. The same applies to 15, which 3 times less would be 5. It has a ratio of 3:5.

Answer:   It is the point where the line crosses the x axis of the cartesian coordinates. We can write an equation of the line that passes through the points y=0 as follows: Using the equation: y = 3x – 6, put y=0. To find the x-intercept. 0 = 3x – 6. 3x = 6. The x-intercept is 2 of the slope-intercept form of line

The statement is false .

let ; n=-5

     m=-6

n - m= -5 -( -6 )

       = -5 + 6

       = 1

which is not a negative real number .

therefore it shows that negative real number are not closed under substrsction.

the process or skill of taking one number or amount away from another.

Example: 7-5=2

7 is a minuend

5 is a subtrahend

and 2 is a differenceSubtraction is an arithmetic operation that represents the operation of removing objects from a collection.

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well, first off, let's see how much each one costs per month.

so, hmmm if she goes with the Bank loan at 9% for 3 years

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$9000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years\dotfill &3 \end{cases} \\\\\\ A=9000[1+(0.09)(3)] \implies \boxed{A = 11430}[/tex]

now, that's for 36 months, so she'd be owing the Bank per month [tex]\cfrac{\stackrel{total}{11430}}{\underset{months}{36}}~~ = ~~\text{\LARGE 317.5}[/tex]

now let's take a look at the Credit Card's loan at 18% for 7 years

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$9000\\ r=rate\to 18\%\to \frac{18}{100}\dotfill &0.18\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &7 \end{cases} \\\\\\ A=9000\left(1+\frac{0.18}{12}\right)^{12\cdot 7} \implies A \approx \boxed{31433.31}[/tex]

now, in 7 years there are 84 months, thus  [tex]\cfrac{\stackrel{total}{31433.31}}{\underset{months}{84}}\approx \text{\LARGE 374.21}[/tex]

so, the Bank will give her a better deal per month, and to be honest altogether.

The plan with simple interest will give the lowest monthly repayment.

The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.

Option C is the correct answer.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Compound interest is the interest that is made from the principal and the interest as well in consecutive years.

We have,

Simple interest:

Principal = $9000

Rate = 9%

Time = 3 years

Simple interest:

= P x R x T / 100

= 9000 x 9 x 3 / 100

= 2430

Amount = simles interest + principal

A = 9000 + 2430 = $11430

3 years = 36 months

Monthly  payment = 11430 / 36 = $317.5

Compound interest:

Principal = $9000

Rate = 18%

Time = 7 years

A = P [tex](1 + \frac{18}{100}) ^{7}[/tex]

A = 9000 [tex](1 + 0.18) ^{7}[/tex]

A = 9000 x3.19

Amount = $28,710

7 years = 84 months

Monthly payment = 28710 / 84 = $341.78

Thus,

The plan with simple interest will give the lowest monthly repayment.

The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.

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Answer:

1/3

Step-by-step explanation:

Answer:

for "FLUKE" its 5! = 120

and "PROPOSE" its 7! /2!×2! = 1260

Step-by-step explanation:

"FLUKE" has no repeating letters.

"PROPOSE" has two repeating letters.

we divide by the repeating letters like I did on "PROPOSE" .

THANK YOU.

Answer:

Z = 30

Step-by-step explanation:

trust me bro

fhfhfhfhhffh

Answer:

Please give brainliest if you think it applies

30

Step-by-step explanation:

Z/2 -5 = 10

Add 5 to both sides

Z/2 = 15

Multiply both sides by 2

Z = 30

Answer:

2...?

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

xy= -2 X -3

= 6

z = 4

so xy/z is 6/4 which is 3/2.

Answer:

[tex]\boxed{3} \;v^2 + \boxed{4}\;v + \boxed{5}[/tex]

Step-by-step explanation:

Original expression: 3 + v + 4v² + 2 - v² +3v

Combining like terms in a equation means grouping them together to get a single instance of that term instead of multiple

For example in this expression we can see there is a +4v² and a -v². Group these together and simplify algebraically to get a single v² expression. Do the same with the others.

3 + v + 4v² + 2 - v² +3v

Group the v² terms together to get 4v² - v² = 4v² - 1v² = 3v²  (v² == 1v²)
(since the variables are same we can simply add the coefficients

Now group the v terms and simplify

3 + v + 4v² + 2 - v² + 3v
v + 3v = 4v

Finally group the constants
3 + v + 4v² + 2 - v² +3v
3 + 2 = 5

So the final expression is

3v² + 4v + 5

The numbers are what you put in the boxes for each

Usually this process is done in a few steps
3 + v + 4v² + 2 - v² +3v

= (4v² - v²) + (v + 3v) + (3 +2)
= 3v² + 4v + 5

Answer:

a=4

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Consider a=3 and b=4. The left hand side is 5 but the right hand side is 7.