In which of these situations do the quantities combine to make 0?
A. In the morning, the temperature rises 30 degrees. In the evening, it
falls by 30 degrees.
B. Kathy receives $20 as a gift. She gives half of her $20 to a friend
and keeps the rest for herself.
C. A player in a game earns 4 points for getting an answer right. She
then earns 4 points for making it around the board.
D. A hot air balloon rises 40 feet. It then rises another 40 feet.

Answer:

C. 8

Step-by-step explanation:

d = 8

4 + \(\frac{d}{2}\)

Substitute d for 8

4 + 8/2

Simplify

4+4

Simplify

8

Answer:

c = 8

Step-by-step explanation:

if d = 8, that would mean that

4 + 8/2 (because 8 has substituted for d)

then you do 8 ÷ 2 = 4

4 + 4 = 8

The dimensions of the cylinder that maximizes its volume are radius = 16.29 cm and height = 32.57 cm

The total surface area of a cylinder is given by A = 2πr² + 2πrh where

Since the total surface area of the cylinder A = 5000 cm². So,

A = 2πr² + 2πrh

5000 = 2πr² + 2πrh

Making h subject of the formula, we have

h = 2500/πr - r

Since the volume of the cylinder V = πr²h where

Substituting h into V, we have

V = πr²h

V = πr²(2500/πr - r)

V = 2500r - πr³

Since we want to maximize V, we differentiate with respect to r and equate to zero.

So, dV/dr = d(2500r - πr³)/dr

dV/dr = 2500 - 3πr²

Equating dV/dr to zero, we have

dV/dr = 0

2500 - 3πr² = 0

2500 = 3πr²

Dividing both sides by 3π, we have

r² = 2500/3π

Taking square root of both sides, we have

r = √(2500/3π)

r = 50/√(3π) cm

r = 50/√(9.4247) cm

r = 50/3.07

r = 16.29 cm

We need to determine if this value of r gives a maximum for V. So, we differentiate dV/dr.

So, d(dV/dr)/dr = d²V/dr²

d²V/dr² = d(2500 - 3πr²)/dr

d²V/dr² = 0 - 6πr

d²V/dr² = - 6πr

Substituting the value of r into the equation, we have

d²V/dr² = - 6πr

d²V/dr² = - 6π(50/√(3π))

d²V/dr² = - 6π(50/√(3π))

Since d²V/dr² = - 6π(50/√(3π)) < 0. V is maximum at r = 50/√(3π) cm

Substituting the value of r into h, we have

h = 2500/πr - r

h = 2500/π(16.29) - 16.29

h = 2500/51.17 - 16.29

h = 48.86 - 16.29

h = 32.57 cm

So, the dimensions of the cylinder that maximizes its volume are radius = 16.29 cm and height = 32.57 cm

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Answer:

the one in black

Step-by-step explanation:

Answer:

  9x -4y = -44

Step-by-step explanation:

You want the equation of the line through (-4, 2) and perpendicular to the line through (-4, 6) and (5, 2).

The equation of a line through (h, k) and perpendicular to the line through (x1, y1) and (x2, y2) can be written as ...

  (x2 -x1)(x -h) +(y2 -y1)(y -k) = 0

Using the given points, this becomes ...

  (5 -(-4))(x -(-4)) +(2 -6)(y -2) = 0

  9(x +4) -4(y -2) = 0

Expanding this gives the general form equation:

  9x -4y +44 = 0

Subtracting the constant gives the standard form equation:

  9x -4y = -44

Answer:

5

Step-by-step explanation:

(-11)-(-11) would cancel out, so that leaves 5 as the answer :)

Answer: 126 i think cause 5+ (-11) – (-11) = 126 hope this helped have a nice day :)

Step-by-step explanation:

Solution

Using the Slope formula written above;

Therefore, the missing co-ordinate r is 5.

The equation for the graph above is y = 5sin(2x/3).

In Mathematics and Geometry, a sine wave is sometimes referred to as a sinusoidal wave, or sinusoid and it can be defined as a fundamental waveform that is typically used for the representation of periodic oscillations, in which the amplitude of displacement at each interval is directly proportional to the sine of the displacement's phase angle.

Mathematically, a sine wave can be represented or modelled by this mathematical equation:

y = asin(bx)

Where:

Based on the graph of this sine wave, we have:

Amplitude, a = 5.

Periodicity, b = 2π/period = 2π/(3π) = 2/3

Therefore, the required sine wave function is given by;

y = asin(bx)

y = 5sin(2x/3)

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Kindly find complete question attached below

Answer:

Kindly check explanation

Step-by-step explanation:

Given a normal distribution with ;

Mean = 36

Standard deviation = 4

According to the empirical rule :

68% of the distribution is within 1 standard deviation of the mean ;

That is ; mean ± 1(standard deviation)

68% of subjects :

36 ± 1(4) :

36 - 4 or 36 + 4

Between 32 and 40

2.)

95% of the distribution is within 2 standard deviations of the mean ;

That is ; mean ± 2(standard deviation)

95% of subjects :

36 ± 2(4) :

36 - 8 or 36 + 8

Between 28 and 44

3.)

99% is about 3 standard deviations of the mean :

That is ; mean ± 3(standard deviation)

99% of subjects :

36 ± 3(4) :

36 - 12 or 36 + 12

Between 24 and 48

Answer:

3x + 2

Step-by-step explanation:

Answer:

2+3x

Step-by-step explanation:

Answer:

Hope this helps! Enjoy Learning!:D

Answer:

Independent variable is what you are testing in a experiment.

Dependent variable is what you're measuring in a experiment.

Step-by-step explanation:

An example would be testing how fast plants can grow after two weeks of giving each plant a different amount of water.

The independent variable would be the plants. You are testing to see how fast the plants can grow depending on the amount of water you give each plant in a matter of two weeks.

The dependent variable would be the amount of water you give each plant. You are giving each plant different amounts of water each day in a span of two weeks to see which one will grow faster.

Hope this helps.

Answer:

n = -1

Step-by-step explanation:

4n - 6 = 10n

Combine like terms: (you can see that both 4n and 10n both have a n. This means that they are like terms. You would just add/subtract them as usual)

4n - 10n = 6

-6n = 6

n = -1

Answer:

4n-4n-6=10n-4n

6/-6=6n/6

-1=n

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

put in '2' where 'x' is

2 (2^2) + 3 ( 2) - 6 = 8

Then the linear equation for the second railroad track is:

y = 3*x + 3

We know that the equation will be parallel to the line:

y = 3x + 9

Remember that two lines are parallel if the lines have the same slope, then the other linear equation is something like:

y = 3x + b

To find the value of b we use the fact that the line passes through (2, 9), this means that:

9 = 3*2 + b

9 - 6 = b

3 = b

Then the linear equation for the second railroad track is:

y = 3*x + 3

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Answer: Y+3x+3 your welcome

Step-by-step explanation:

dont worry bout allat

Answer:

Step-by-step explanation:

A 4-ft pole casts a 5-ft shadow, so an 8-ft hedge casts a 10-ft shadow. Tge hedges must be 10 ft from the garden.

The result follows from the fundamental theorem of calculus.

\(\displaystyle \int_a^b f(x) \, dx = F(b) - F(a) = 2022 - 10 = \boxed{2012}\)

Answer:

13.6

Step-by-step explanation:

Answer:

10 i think thats not really a questuon tho

To calculate the total surface area of a triangular prism, we need to find the area of each face and add them up.

The triangular faces have base 5cm and height 12cm, so each one has an area of:

(1/2) x 5cm x 12cm = 30cm²

There are two of these faces, so their combined area is:

2 x 30cm² = 60cm²

The rectangular faces have dimensions 5cm x 10cm and 5cm x 13cm, so their areas are:

5cm x 10cm = 50cm²

5cm x 13cm = 65cm²

Again, there are two of these faces, so their combined area is:

2 x (50cm² + 65cm²) = 230cm²

Finally, we add up the areas of all the faces to get the total surface area:

60cm² + 230cm² = 290cm²

Therefore, the total surface area of this triangular prism is 290cm².

Answer:

The answer is 18

Step-by-step explanation:

\(\left[\begin{array}{cc}2&3\\6&4\end{array}\right] \left[\begin{array}{ccc}4&2&1\\7&5&3\end{array}\right]\)

\([2*4+3*7][2*2+3*5][2*1+3*3]\\\[6*4+4*7][6*2+4*5][6*1+4*3]\)

\([8+21][4+15][2+9]\\\[24+28][12+20][6+12]\)

\([29][19][11]\\\[52][32][18]\)

\(\left[\begin{array}{ccc}29&19&11\\52&32&18\end{array}\right]\)

18 the only answer choice that appears.

Hope this helps!

Step-by-step explanation:

f(x) = y= -x²-x+6

When y is max, f'(x) = 0

f'(x) = -2x-1

Equating to 0,

-2x-1= 0

x= -1/2

Put the value of x in f(x)

y = -(-1/2)² -(-1/2) +6

= -1/4+1/2+6

= 6+1/2

y= 13/2

Given : a = -10 and b = -4

To prove : a - b ≠ b - a

Proof : To put the values according to question,

Hence verified

Answer: The square root of 1681 is 41.

Answer:

41

Step-by-step explanation:

It is 41

41 * 41 = 1681

41 ^ 2 = 1681

Answer:

0.288

Step-by-step explanation:

Given that :

Correlation (R) = 0.48

Slope of linear model which predicts Lifespan from years of education (m) = 0.8

To determine the value of slope of the model which predicts years of eductauoon from lifespan:

The square of the regression Coefficient is multiplied by the inverse of the slope of linear model which predicts Lifespan from years of education

Hence,

(R² * 1/m)

0.48² * 1/0.8

0.2304 * 1.25

= 0.288

Answer: X=3

Step-by-step explanation:

Answer:

0≤ x ≤ 15

Step-by-step explanation:

or x = [0,15]

​

Answer:

\(\frac{11}{12}\)

Step-by-step explanation:

\(Rule: \frac{x}{y} \pm \frac{a}{b} = \frac{x \pm y}{z}\\\frac{1}{4}+\frac{2}{3} = \frac{3}{12}+\frac{8}{12} (LCM)\\=\frac{3+8}{12}\\=\frac{11}{12}\\\)

Answer:

\(7x+8y+33\)

Step-by-step explanation:

\(2y+8(y+1)+5(x+5)\\\\2y+(8)(y)+(8)(1)+(5)(x)+(5)(5)\\\\2y+8y+8+5x+25\\\\7x+8y+33\)