4. A bottle contains 68 teaspoons of solution. The solution drops out of the bottle
at a constant rate during a 102-minute experiment. The bottle is completely empty
just as the experiment ends. At what rate does the number of teaspoons of
solution in the bottle change?

Answers

Answer 1

Answer:

The rate of solution change is 2/3 teaspoons per minute

Step-by-step explanation:

Here, we want to calculate rate

From what we have in the question,

68 teaspoons of solution dropped out entirely within 102 minutes

So the rate is takes to drop out per minute will be:

68/102 = 2/3 teaspoon per minute


Related Questions

Micah's Family ate some of the two pies that he baked. which number represents the amount of pies that is left​

Answers

Answer:

The answer is 6/8

Step-by-step explanation:

6/8 is the only logical answer because you need to have an answer that is less than one, 8/6 evens out to 1 1/3, 6/2 evens out to 3, and 8/4 evens out to 2. 6/8 is the only fraction that is less than one.

Answer:

its 6/8

Step-by-step explanation:

A number is called flippy if its digits alternate between two distinct digits. For example, 2020 and 37373 are flippy, but 3883 and 123123 are not. How many five-digit flippy numbers are divisible by 15?
A 3
B 4
C 5
D 6
E 8

Answers

Answer:

A

Step-by-step explanation:

The number of five-digit flippy numbers are divisible by 15 is;

Option B; 4 Numbers

We want 5 digit flippy numbers that are divisible by 15.

For a number to be divisible 15, it has to be divisible by 3 and 5.

Also, for a number to be divisible by 5, it's last digit has to be 0 or 5.

Since it is a flippy digit and 0 cannot start it as it is a five digit number, then the first and last digits must be 5. Also, the center digit must be 0 or 5 to fulfill both conditions.

Thus, the format of the number should be;

       5N5N5

For it to be divisible by 3, since 5 + 5 + 5 = 15 is divisible by 3, the N + N can be equal to 0, 6, 12, or 18 since N is identical.

Thus, possible numbers are; 50505, 53535, 56565, 59595.

Read more at; https://brainly.com/question/19238760

CAN SOMEONE HELP ME FAST
Find the distance between the two points in simplest radical form.
(-5, 8) (-3, 1)

Answers

Answer:

6.40312423 hope that helps

Answer:

[tex]\sqrt{53}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 5, 8) and (x₂, y₂ ) = (- 3, 1)

d = [tex]\sqrt{(-3+5)^2+(1-8)^2}[/tex]

   = [tex]\sqrt{2^2+(-7)^2}[/tex]

   = [tex]\sqrt{4+49}[/tex]

    = [tex]\sqrt{53}[/tex]

What is the first step in solving this equation?
3(2x+6) -4 = 2(5x-2) +6

Answers

Answer:

Distrubutative property

Step-by-step explanation:

What is the solution 8x-3(2x-4)=3(x-6)

Answers

Answer:

x = 30

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

8x - 3(2x - 4) = 3(x - 6)

Step 2: Solve for x

Distribute:                                   8x - 6x + 12 = 3x - 18Combine like terms:                   2x + 12 = 3x - 18Subtract 2x on both sides:        12 = x - 18Add 18 to both sides:                 30 = xRewrite:                                       x = 30

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    8(30) - 3(2(30) - 4) = 3(30 - 6)Multiply:                        240 - 3(60 - 4) = 3(30 - 6)Subtract:                       240 - 3(56) = 3(24)Multiply:                        240 - 168 = 72Subtract:                       72 = 72
16x^2 - 32x -3x +12 = 3x-18
X= 30

Which ordered pair can be removed so that the resulting graph represents a function?

(–2, 2)
(1, 3)
(5, –4)
(–4, –4)

Answers

Answer:

(1, 3)

Step-by-step explanation:

Answer: B. 1, 3

Step-by-step explanation: On Edge!!!!

3) Where do planes M and NJF intersect?
A. KJH
B. FG
C. JFG
D.GN

Answers

Answer:

C) JFG BECAUSE THAT IS WERE IT CROSSES AT

Answer:

the origen is where they all start

Please help me the picture is above, I’ll mark as brainliest.

Answers

$254

if she sells p phones and a accessories = 8p+3.50a

What is 2x(3+x2) when x = −2?

Answers

it would be -4 i think

come back and tell me if im wrong

Use the law of exponents to rewrite (4x2)^9

Answers

It going to be 8^9x^9

A sequence has the recursive definition f(1)= 2/3, f(n)= f(n-1)•
3/2 for n > 2

Write the first 5 terms of the sequence. Keep the answers as fractions.

Answers

Answer:

Explanation:

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

f(4) = (4 - 1) • 3/2
f(4) = 3 • 3/2
f(4) = 9/2

f(5) = (5-1) • 3/2
f(5) = 4 • 3/2
f(5) = 6

f(6) = (6-1) • 3/2
f(6) = 5 • 3/2
f(6) = 15/2

f(7) = (7-1) • 3/2
f(7) = 6 • 3/2
f(7) = 9

There are 12 pencils and 24 map colors to be boxed. Each box must contain only one type of item, and every item must be boxed. What is the most that can be placed in a box so that each box has the same number of items?

Answers

Answer:

the answer is 2

Step-by-step explanation:

The way I no this is because I used division and got two for each box. 24 divided by 12 = 2 for every box

$11.13-$5.50-$6.12=$10.51; $30- $10.51

Answers

What is the problem?? I would love to help

how do I work this out, I've tried
[tex] \frac{6}{4} = \frac{k \times - 4}{ - 4} [/tex]
and that gave me
[tex] \frac{1}{ - 1.5} x[/tex]

Answers

Answer:

The required answer is [tex]y=-\mathbf{\frac{3}{2}}x\\[/tex]

Step-by-step explanation:

We are given that value of x and y vary directly so , if two values vary directly we can write

y∝x

y=kx

Now, we are given x=-4 and y=6 and we have to fill in the blank. We actually have to find value of k i.e y=____x . Yhe blanks must be filled by value of k because y=kx

Using values of x and y i.e x=-4 and y=6 to find value of k

[tex]y=kx\\6=k(-4)\\Divide \ both \ sides \ with \ -4\\\frac{6}{-4}= \frac{k(-4)}{-4} \\k=\frac{-3}{2}[/tex]

The value of k is [tex]\mathbf{\frac{-3}{2}}[/tex]

So, the required answer is [tex]y=-\mathbf{\frac{3}{2}}x\\[/tex]

Find the area of a square with side length x when x is equal to the given value.
Are the area of a square and the length of its side directly proportional? Justify your answer.

x=15 ft

Answers

Answer:

The area is 225 and they are not directly proportional

Step-by-step explanation:

find the area by doing 15 x 15 which is 225

Answer:

225

Step-by-step explanation:

easy

Can someone please check to see if I selected the right answer... Please ​

Answers

it’s correct now give me brainliest please

A volleyball has a mass of 4 kg Calculate the potential energy of a volleyball that is in the air at a height of 15 m. (g = 9.8 m/s
Gravitational Potential Energy = mass x acceleration due to gravity x height
GPE = mgh
ОА
147J
B
588 J
O C60
O
D
360 J

Answers

B. 588 J

GPE = mgh
= (4)(9.8)(15)
= 588 J

Charlie bought 2 3/4 pounds of pears for $.76 per pound and 2 3/4 pounds of grapes for $1.40 per pound how much money in dollars and cents did Charlie pay for the pears and grapes

Answers

Answer:

$5.94

Step-by-step explanation:

Multiply 2.75 by $0.76 to get $2.09

Multiply 2.75 by $1.40 to get $3.85

Add $3.85 and $2.09 to get $5.94

Answer:

$5.94

Step-by-step explanation:

For the following exercises, determine whether the relation is a function
a) {(5.2),(6,1),(6,2),(4,8)}​

Answers

Ummmmmmmmmmmmmmmmmmmmmmm

Identify the domain and range of y = 3x - 7.

Answers

The domain is (-∞ , ∞ )

The range is (-∞ , ∞ )

write this equation in word form.
x3 + 1

Answers

Answer:

X cubed plus one

Step-by-step explanation:

what is the slope to y=−3x+7

Answers

Answer: slope= -3

Step-by-step explanation: use the slope intercept form to find slope

How do you factor f(x) = x^3 – 3x^2 – 10x + 24 ?

Answers

Answer:

    f(x) = x³ – 3x² – 10x + 24 = (x + 3)(x – 2)(x – 4)

Step-by-step explanation:

I would use the Horner method.

f(x) = x³ – 3x² – 10x + 24

f(2) = 2³ - 3·2² - 10·2 +24 = 0   ⇒ x=2 is the root of function

So:

    |   1   | -3   |  -10  |  24 |

2  |   1   |  -1   |  -12  |  0   |

therefore:

f(x) = x³ – 3x² – 10x + 24 =  (x – 2)(x² – x – 12)

For  x² – x – 12:

[tex]x=\dfrac{1\pm\sqrt{(-1)^2-4\cdot1\cdot(-12)}}{2\cdot1}=\dfrac{1\pm\sqrt{1+48}}{2}=\dfrac{1\pm7}{2}\\\\x_1=\dfrac{1+7}{2}=4\ ,\qquad x_2=\dfrac{1-7}{2}=-3[/tex]

It means:

f(x) = x³ – 3x² – 10x + 24 =  (x – 2)(x – 4)(x + 3)

Esteban stands on a dock 1.25 yd above the water. A fish swims below Esteban at -4.61 yd from the surface of the water. How many yards apart are Esteban and the fish?

Answers

Answer: 5.86yd

Step-by-step explanation:

From the question, we are informed that Esteban stands on a dock 1.25 yd above the water and that a fish swims below Esteban at -4.61 yd from the surface of the water.

The distance between Esteban and the fish can be calculated by subtracting -4.61 yd from 1.25 yd. This will be:

= 1.25 yd - (-4.61 yd)

= 1.25 yd + 4.61 yd

= 5.86 yd

Using the slope, state whether the lines are parallel, perpendicular, or neither.
Y= 2x-3
y=-1/2x+2

Answers

Answer:

Parralel lines have the exact same slope.

in the equation y=mx+b m is the slope

Both of these equations are in slope intercept form (y=mx+b) meaning that the coefficient in both equations is the slope.

Parralel lines have the same slope and perpendicular lines have the inverse opposite slope. For example if a line had a slope of 2 or 2/1 then the perpendicular line to it would have a slope of -1/2.

With that knowledge we can easily see that the lines are perpendicular since their slopes (represented by the coefficient) are the inverse opposite.

Perpendicular is your answer

Step-by-step explanation:

julissa gave out an equal number of oranges to each of the 6 apartments on her floor. if she gave each apartment 5 oranges how many oranges did julissa give out in all

Answers

30
She gave 5 oranges to each of the 6 apartments. So multiply, 5x6=30

What is the radius of a circle that has a circumference of 3.14 meters?

Answers

Answer:

r≈0.5m

Step-by-step explanation:

she was right

Answer:

r≈0.5m

Step-by-step explanation:

x + 2x + 12y + 4 Using the expression shown, add like terms and produce an equivalent expression.

Answers

Answer: 3x+12y+4

Step-by-step explanation:

The only like terms are the x+2x so we add them to get the simplfied answer

Answer:

3x + 12y + 4

I dont really know how to explain but since there is an X at the and of the 2, you can add X + 2x to get 3x. Since 3x, 12y, and 4 are not alike, this is the simplest form.

(1+sinA-cosA)/1+sinA+cosA=(1+sinA+cosA)/1+sinA-cosA=2cosecA​

Answers

Answer:

Hi,

LHS = sinA-cosA+1/sinA+cosA-1

divide both numerator and denominator by cosA

LHS=(tanA−1+secA)/(tanA+1−secA)LHS=(tanA−1+secA)/(tanA+1−secA)

Now

sec2A=1+tan2Asec2A=1+tan2A

sec2A−tan2A=1sec2A−tan2A=1

Using above relation at denominator of LHS

LHS=(tanA−1+secA)/(tanA−secA+sec2A−tan2A)LHS=(tanA−1+secA)/(tanA−secA+sec2A−tan2A)

LHS=(tanA−1+secA)/((secA−tanA)(−1+secA+tanA))LHS=(tanA−1+secA)/((secA−tanA)(−1+secA+tanA))

LHS=1/(secA−tanA)LHS=1/(secA−tanA)

LHS=RHSLHS=RHS

Hence Proved.

I think above proof will clear your doubt,

All the best.

Y=-2(x-1)^2+8 a) Determine the coordinates of its turning point and state whether it is a Maximum or minimum B) Determine the y-intercept C)Determine the coordinates of the x-intercepts(if any)

Answers

Answer:

(a) The coordinates of the inflection point are (1; 8) and, being the value of a less than zero, then these coordinates indicate the maximum of the function.

(b) The y-intercept has a value of 6

(c) The coordinates of the x-intercepts have a value of x=3 and x=-1

Step-by-step explanation:

You know y= -2*(x-1)² + 8

(a) Every quadratic function can be expressed by the canonical form:

f(x)=y= a*( x- h)² + k

where a is the principal coefficient and the ordered pair (h; k) are the coordinates of the vertex of the parabola.

The quadratic function will have a maximum or minimum value at the vertex. If a> 0, the parabola is concave, that is, it will have its branches upwards, therefore the vertex will indicate the minimum of the function. But if a <0 the parabola is convex and the vertex will indicate the maximum of the function.

Comparing the given equation with the canonical form of a quadratic function you can see that:

a=-2h=1k=8

Then, the coordinates of the inflection point are (1; 8) and, being the value of a less than zero, then these coordinates indicate the maximum of the function.

(b)  The y-intercept arises from evaluating the function at x = 0. So, in this case:

y= -2*(0-1)² + 8

Solving:

y= -2*(-1)² + 8

y= -2*1 + 8

y= -2+8

y= 6

The y-intercept has a value of 6

(c)   The roots or coordinates of the x-intercepts arise from evaluating the function at y = 0. So, in this case:

0= -2*(x-1)² + 8

Solving:

-8= -2*(x-1)²

[tex]\frac{-8}{-2} =(x-1)^{2}[/tex]

4= (x-1)²

√4= |x-1|

⇒ 2=x-1 → 2+1=x → 3=x

⇒ -2=x-1 → -2+1=x → -1=x

The coordinates of the x-intercepts have a value of x=3 and x=-1

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