There are 9.5 ounces of juice in a container. An additional 1.75 ounces of juice are poured into the container each second. How many ounces of juice are in the container after 6 seconds? Enter your answer in the box

Answers

Answer 1

By concept of capacity and the assumption of constant flow rate, the amount of ounces of juice in the container after 6 seconds is 20 ounces.

How to determine the final capacity of a container

Given that the additional juice is added to the container at constant rate. Hence, the final capacity (C'), in ounces is equal to the sum of the initial capacity (C), in ounces, and the product of the flow rate (q), in ounces per second, and time (t), in seconds.

C' = C + q · t     (1)

If we know that C = 9.5 oz, q = 1.75 oz/s and t = 6 s, then the final capacity of the container is:

C' = 9.5 oz + (1.75 oz/s) · (6 s)

C' = 20 oz

By concept of capacity and the assumption of constant flow rate, the amount of ounces of juice in the container after 6 seconds is 20 ounces.

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Related Questions

On Monday Marcos droves 20 miles and on Thursday he drove 40 miles. How much further did Marcos drive on Thursday than on Monday?

Answers

Answer:

20 miles

Step-by-step explanation:

We are finding the difference.  Take the larger number and subtract the smaller number

40-20 = 20

The difference is 20 miles

please help me with this

Answers

Answer:

10π (31.415926)

√101(10.0498756)

9.92749...

0.99853...

Step-by-step explanation:

For 10π, we can simplify π into 3.14 for an approximate amount. 3.14*10=31.4

For the square root of ten, we can estimate it's between 10 and 11 since 10 squared is 100 and 11 squared is 121.

Answer:

See explanation

Step-by-step explanation:

First, we have to put the expressions into numbers. For the square root of 101, it doesn't divide evenly into any whole number. We do know that 10^2 is 100, and 11^2 is 121. That means the square root of 101 is between 10 and 11. Pi is equal to 3.14, so we just multiply 10 by 3.14. If we do this, we get 31.4. From here we can rank the numbers in order from greatest to smallest.

31.4 (10pi) is greater than

The square root of 101 which is greater than

9.92749... which is greater than

0.99853...

Hope this helps!

Round your answer to the nearest tenth if necessary. Use 3.14 for .
A drum has a diameter of 20 inches and is 16 inches deep. Find the volume of this drum.
The volume of this drum is approximately
in³.

HELP QUICK!!!!

Answers

Answer:

[tex] \boxed{\rm \: Volume_{(Drum)} = 5024 \: in {}^{3} }[/tex]

Step-by-step explanation:

Given :

Diameter of a drum = 20 inchesDeep ( height ) of the drum = 16 inchesπ = 3.14

To Find:

The volume of the drum.

Solution:

We all know that drum is cylindrical.So we'll use the formulae of the volume of cylinder,to find its volume.

[tex] \boxed{\rm \: Volume_{(Cylinder)} = \pi{r} {}^{2} h}[/tex]

Where,

r = radiush = height (deep)π = 3.14

The value of radius ain't given,but the diameter is given.We can use the formulae of radius.

[tex] \rm \: Radius = D/2[/tex]

D = diameter

Substitute the value of diameter:

[tex] \rm \: Radius = \cfrac{20}{2} = 10[/tex]

Hence,the radius is 10.

So we could now use the formulae of the volume of cylinder:

[tex] \rm \: Volume_{(Cylinder)} = \pi{r} {}^{2} h[/tex]

π = 3.14r =10 inh = 16 in

[Firstly bring the answer in terms of π then plug π = 3.14 and then simplify.]

[tex] \rm \: Volume_{(Drum)} = \pi(10) {}^{2} (16)[/tex]

[tex] \rm \: Volume_{(Drum)} =\pi100(16)[/tex]

[tex] \rm \: Volume_{(Drum)} = 1600\pi[/tex]

[tex] \rm \: Volume_{(Drum)} = 1600 \times 3.14[/tex]

[tex] \boxed{\rm \: Volume_{(Cylinder)} = 5024 \: in {}^{3}} [/tex]

Hence, we can conclude that:

The volume of this drum is 5024 in^3.

Expand and simplify: (-7y - 8) (y - 4)

Answers

Simplification

Expand and simplify: (-7y - 8) (y - 4)

To expand an expression, use FOIL method.

F - First

Multiply the first term in each expression inside the parentheses.

-7y and y are the first terms in each expression.

(-7y)(y) = -7y²

O - Outside

Next is to multiply the terms outside. (The first term in the first expression and the last term in the second expression)

-7y is the first term in the first expression

-4 is the last term of the second expression

(-7y)(-4) = 28y

I - Inside

The next step is to multiply the terms inside. (The last term in the first expression and the first term in the last expression)

-8 is the last term in the first expression

y is the first term in the second expression

(-8)(y) = -8y

L - Last

Last step is to multiply the last term in each expression.

-8 is the last term of the first expression

-4 is the last term of the second expression

(-8)(-4) = 32

Combine all simplified terms.

-7y² + 28y - 8y + 32-7y + 20y + 32

Answer:

-7y + 20y + 32

Wxndy~~

Write the equation of the circle in general form. Show your work.

Answers

Answer:

x^2+2x+y^2−2y−7=0

Step-by-step explanation:

The method from converting to standard to general is very simple

this equation in standard form would be

(x+1)^2+(y-1)^2=9

This is because whatever the center of the circle is, you take the negative/positive version of that number

The center is at -1, 1.  So it would flip to be put into the equation as 1, -1.

9 is the radius^2.

The radius is 3.

To convert to general form you just simplify

x^2+1+2x = (x+1)^2

y^2 + 1 -2y = (y-1)^2

x^2 - 2x + y^2 - 2y + 2 = 9

get the nine on the left side

x^2 -2x +y^2 - 2y 2 - 9 = 0

x^2+2x+y^2−2y−7=0

Give brainliest, please!

Hope this helps :)

8. Simplify (+2) × (+6) (-3)​

Answers

Step-by-step explanation:

= ( +2 ) × ( + 6 ) ( -3 )

= + 12 (- 3 )

[tex] = - 36[/tex]

hence - 36 is the answer...

Write the geometric sequence in function notation.

Answers

Answer:

d

Step-by-step explanation:

Graph: y+2=-3/4(x+4)

Answers

The picture below shows how to graph it.

a car can travel 340 km with 17 litres of petrol. how much can I travel with 20 litres of petrol?​

Answers

The car would travel a distance of 400 km using 20 litres of petrol

How to determine the distance travelled?

The given parameters can be represented using the following scale ratio :

Scale = 340 km : 17 litres

For 20 litres of petrol, we have:

Distance : 20 = 340 km : 17

Express as fraction

Distance/20 = 340 km/17

Multiply both sides by 20

Distance = 400 km

Hence, the car would travel a distance of 400 km using 20 litres of petrol

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reflection across the y-axis

Answers

Answer:

A reflection of a point over the y -axis is shown. The rule for a reflection over the y -axis is (x,y)→(−x,y) .

Step-by-step explanation:

which choices are equivalent to the expression below? check all that apply (image provided)

Answers

Answer:

D, E, and A

Step-by-step explanation:

Because 4 is also equivelent to square root of 16 and square root of 16 times square root of 3 is equal to square root of 48 which is D, and E is also correct because square root 24 x square root 2 is also square root 48 and same concept with A.

The graph represents the height of a ball after being thrown versus time. Which statement is true? A. The ball attains a maximum height of 70 meters at 4 seconds. B. The ball attains a maximum height of 4 meters at 70 seconds. C. The ball attains a maximum height of 70 meters at 2 seconds. D. The ball attains a maximum height of 2 meters at 4 seconds.

Answers

The statement which is true about the thrown ball is that A. The ball attains a maximum height of 70 meters at 4 seconds

What is a Maximum Height?

This refers to the highest vertical projectile that an object can attain when acted upon by an external force.

Given the attached diagram that shows the graph of the projectile of the ball, we can observe that its maximum height before it began to fall is 70 meters at 4 seconds based on the values on the x and y-axis.

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need help ill be appercaited. ​

Answers

Step-by-step explanation:

mark me brainlist!! hope this helps

Translate the following expression to an equation in terms of p​: "151.8​​ is what percent of 69​​?"

Answers

The statement "151.8​​ is what percent of 69​​ is expressed as 0.69p =  151.8

Equations and expressions

Equations are expressions separated by an equal sign. Words can be translated to equations.

Let the unknown variable be "p". If p percent of 69is 151.8, this is expressed as;

p% of 69 = 151.8

Convert to decimals

p/100 * 69 = 151.8

0.01p * 69 = 151.8
0.69p =  151.8

Hence the statement "151.8​​ is what percent of 69​​ is expressed as 0.69p =  151.8

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find the measure of the missing angle

Answers

Answer:
Angle A = 54

Angles on a straight line add up to 180.
So:

126 + a = 180

Rearrange for a.

a = 54

PLS HELP ME ASAP!!!!!

Answers

Answer:

c

Step-by-step explanation:

its just the dilate of the triangle which both add up to 180

Peter and Henry went to the movies Peter bought the two Movie tickets for 7 dollars each. How much did he spend for the movie tickets Henry bought two buckets of popcorn for 5 dollars each. How much did Henry spend on popcorn.

Answers

Answer:

Peter spent 14 dollars on movie tickets. Henry spent 10 dollars on popcorn.

Step-by-step explanation:

I hope this helps! :)

This venn diagram shows sports played by 10 students let events A = the students plays basketball let event B = the students plays soccer What is P(A|B)

Answers

The probability of P(A|B) will be; P(A|B) = 2/5 = 0.4

How to deal with Venn Diagrams?

From the Venn diagram attached, it displays sports played by 10 students.

Let event A = The students play basketball.

Let event B = The student plays soccer.

Then the probability of P(A|B) will be;

P(A|B) = P(A ∩ B)/P(B)

P(A|B) = (2/10)/(5/10)

P(A|B) = 0.40

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Without using a calculator, determine the number of real zeros of the function
f(x) = x3 + 4x2 + x − 6.
PLEASE HELP!!!

Answers

The number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

How to determine the number of real zeros?

The equation of the function is given as:

f(x) = x^3 + 4x^2 + x - 6

Expand the function

f(x) = x^3 + 5x^2 - x^2 + 6x - 5x - 6

Reorder the terms of the function

f(x) = x^3 + 5x^2 + 6x - x^2 - 5x - 6

Factor the expression

f(x) = x(x^2 + 5x + 6) -1(x^2 + 5x + 6)

Factor out x -1

f(x) = (x^2 + 5x + 6)(x -1)

Expand

f(x) = (x^2 + 3x + 2x + 6)(x -1)

Factorize

f(x) = [x(x + 3) + 2(x + 3)](x - 1)

Factor out x + 2

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

The function has been completely factored;

And it has 3 linear factors

Hence, the number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

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Use the drawing tools to form the correct answer on the graph. Draw a point that belongs to the solution region of this system of inequalities.

Answers

#1

y>1.5^x+4

Find y intercept

y>1+4y>5

#2

y<2/3x+6

Y intercept

y<6

Both graphs attached

An point should be (1,6)

Answer:

< or > = dashed line

≤ or ≥ = solid line

< or ≤ = shade below the line

> or ≥ = shade above the line

To draw:

[tex]y < \dfrac{2}{3}x+6[/tex]

Treat as a linear equation.

Find 2 points:

[tex]x=0 \implies y=\dfrac{2}{3}(0)+6=6 \implies (0,6)[/tex]

[tex]x=3 \implies y=\dfrac{2}{3}(3)+6=8 \implies (3,8)[/tex]

Plot the 2 points and draw a dashed straight line through them.

To draw:

[tex]y > 1.5^x+4[/tex]

Treat as an exponential equation.

Find y-intercept:

[tex]x=0\implies y=1.5^0+4=5\implies (0,5)[/tex]

End behaviors:

[tex]\textsf{As } x \rightarrow \infty, f(x) \rightarrow \infty[/tex]

[tex]\textsf{As } x \rightarrow - \infty, f(x) \rightarrow 4[/tex]

Draw the curve as a dashed line.

Once both lines are drawn, shade the overlapping region below the linear inequality and above the exponential inequality.  

A point that belongs to the solution is any point in the shaded area,
e.g. (1, 6)

What are the solutions to this system of
equations?
x² + 2x - 8 = 0
y = x² + 3x + 5
y = x + 13
x = 2 and x = -4
A
(15, 2); (9,-4)
B
(2, 15); (-4, 9)

Answers

Answer:

B; because it has two points where x is once 2 and once -4

Height of a softball in feet h(t)=3+55+-+16+2

Answers

Answer:

18ft

Step-by-step explanation:

i can't lay out the formula

Which of the following best describes the graph below?
54 -3 -2 -1
PINT
123 to
3
A. It is not a function.
B. It is a many-to-one function.
C. It is a function, but it is not one-to-one.
D. It is a one-to-one function.

Answers

B. It is a many-to-one function.

Ms. Banerjee bought a car for $22,500. The amount she paid for her new car was twice the amount she paid for her previous car, which she bought 8 years ago. Which equation shows p, the price in dollars that she paid for her previous car?
22,500 = 2 p
2 (22,500) = p
22,500 = 2 p minus 8
2 (22,500) = p minus 8

Answers

An equation is formed of two equal expressions. The correct option is A.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Ms. Banerjee bought a car for $22,500. The amount she paid for her new car was twice the amount she paid for her previous car, which she bought 8 years ago. Therefore, the equation shows p, the price in dollars that she paid for her previous car,

Price of new car = 2 (Price of the previous car)

22,500 = 2p

Hence, the correct option is A.

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Answer: a

Step-by-step explanation:

ASAP!! HELP!
A) Describe the relationship among the lengts of the segments formed by the secant (DB) and secant (CB) . You may use words and/or an equation.

B) Suppose DB = 18 ft, AB = 3 ft, and CB = 10 ft. Find the lengt of CE. Show all your work.

Answers

Given the following parameters DB = 18 ft, AB = 3 ft, and CB = 10 ft. Therefore, The length of the CE is 4.6 ft.

What is Secant-secant rule?

The secant-secant rule states that if two secants are drawn from an external point to a circle, then the product of the measures of one secant's external part and that entire secant is equal to the product of the measures of the other secant's external part and that entire secant.

Mathematically:

(BA + AD)BA = (BE + EC)BE

Given the following parameters

DB = 18 ft, AB = 3 ft, and CB = 10 ft.

Substitute to check if we can find CE

(BA + AD)BA = (BE + CE)BE

(3+ 15) x 3 = (10 + CE ) x 10

18 x 3 = 100 + 10CE

54 = 100 + 10CE

CE = 4.6

Therefore, The length of the CE is 4.6 ft.

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Given: x - 5> -2.
Choose the solution set.
OxIXER, x> -7}
OxIXER, x> -3}
OxIxER, x> 3}

Answers

Answer: [tex]\{x|x \exists \mathbb{R}, x > 3 \}[/tex]

Step-by-step explanation:

Adding 5 to both sides, we get x > 3.

Use the drop down menus to correctly complete the statement.
1st-
-must be congruent
-Must not be congruent
-Can be either congruent or not congruent


2nd-
-must be perpendicular
-Must not be perpendicular
-Can be either perpendicular or not perpendicular

Answers

For a quadrilateral to be a square, the diagonals must be congruent and must be perpendicular.

Under what condition is √x > √25?

Answers

[tex]\sqrt x > \sqrt{25} \qquad( x\geq 0)\\\sqrt x > 5\\x > 25[/tex]

When [tex]x > 25[/tex].

Which of the following is equidistant from a given directrix and focus?​

Answers

The term used to describe the equidistance from a given directrix and focus is: C. a locus of points called a parabola.

What is a Parabola?

A parabola can be defined as a curve on a plane where any given point is at equal distance from the focus (fixed point), and from a directrix (fixed straight line).

Thus, we can conclude that what is a locus of points called a parabola is equidistant from a given directrix and focus.

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what is .3% written as a decimal

Answers

Since 0.3 is divided by 100, we will shift the decimal point backward in 2 places to have 0.003

What are decimal numbers?

Decimal numbers are numbers that includes the dot in between. Given the percentage value expressed as:
0.3%

This can be expressed as;

0.3% = 0.3/100

Since 0.3 is divided by 100, we will shift the decimal point backward in 2 places to have 0.003

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