Which inequality best represents that ice cream at -2 celsius is cooler than ice cream at 4 celsius

Anwser choices

A.-2 C 4 C

B.-2 C > 4 C

C.-4 C > 2 C

D.-4 C < -2 C

Answer:

Holding your breath is called static Apnea and a common person can't hold their breath for long. If a person holds their breath for long and dies because of it, it may be called lack of breath or lack of respiration.

Answer:

A. h = h₀ + u·t - 1/2·g·t²

B. 30.9 m

C. 4.73 seconds

2. A. h = h₀ + u·t - 1/2·a·t²

B. 67.8 m

C. Approximately 25.73 seconds

3. A. h = h₀ + u·t - 1/2·g·t²

B. 31.38 m

C. Approximately 5.142 seconds

D. Approximately 32.9 m

Step-by-step explanation:

The given parameters are;

The initial height of the ball, h₀ = 15 m

The upward velocity with which the ball is thrown, u = 20 m/sec.

The acceleration due to gravity, g = 9.8 m/s²

A. The relation between the height, h, and the time, t, after the ball is released is given as follows;

h = h₀ + u·t - 1/2·g·t²

B. The height of the ball after 3 seconds is given by substitution as follows;

At t = 3 seconds, h = 15 + 20 × 3 - 1/2 × 9.8 × 3² = 30.9

The height of the ball, h, after 3 seconds is h = 30.9 m

C. The time the ball takes to hit the ground = 2 × The time it takes to maximum height + The time it takes the ball to fall with an initial velocity of 20 m/sec for 15 m height

The time it takes to maximum height, \(t_{max}\), is given as follows;

v = u - g·\(t_{max}\)

Where;

v = The final velocity = 0 at maximum height

Therefore, we have;

0 = 20 - 9.8 × \(t_{max}\)

∴ \(t_{max}\) = 20/9.8 ≈ 2.0408

The time it takes to maximum height, \(t_{max}\) ≈ 2.0408 seconds

The time it takes the ball to fall with an initial velocity of 20 m/sec for 15 m height, \(t_{15}\) is  given as follows;

v₂² = u₂² + 2·g·h₀

v₂² = 20² + 2×9.8×15 = 694

v₂ = √694 ≈ 26.344 m/s

v₂ ≈ 26.344 m/s

From, v₂ = u₂ + g·\(t_{15}\), we have;

26.344 = 20 + 9.8×t

9.8·\(t_{15}\) = 26.344 - 20 = 6.344

∴ \(t_{15}\) = 6.344/9.8 ≈ 0.647

The ball will hit the ground after 2 × \(t_{max}\)  + \(t_{15}\) ≈ 2 × 2.0408 + 0.647 ≈ 4.7286

The ball will hit the ground after approximately 4.7286 ≈ 4.73 seconds

2. When the ball is thrown upward from the Moon, we have;

The acceleration due to gravity on the moon, a = 1.6 m/s², therefore, we have;

A. The relation between the height, h, and the time, t, after the ball is released is given as follows;

h = h₀ + u·t - 1/2·a·t²

B. The height of the ball after 3 seconds is given by substitution as follows;

At t = 3 seconds, h = 15 + 20 × 3 - 1/2 × 1.6 × 3² = 67.8

The height of the ball, h,  thrown on the Moon, after 3 seconds is h = 67.8 m

C. The time the ball takes to hit the ground = 2 × The time it takes to maximum height + The time it takes the ball to fall with an initial velocity of 20 m/sec for 15 m height

The time it takes to maximum height, \(t_{max}\), is given as follows;

v = u - a·\(t_{max}\)

Where;

v = The final velocity = 0 at maximum height

Therefore, we have;

0 = 20 - 1.6 × \(t_{max}\)

∴ \(t_{max}\) = 20/1.6 = 12.5

The time it takes to maximum height, \(t_{max}\) = 12.5 seconds

The time it takes the ball to fall with an initial velocity of 20 m/sec for 15 m height, \(t_{15}\) is  given as follows;

v₂² = u₂² + 2·a·h₀

v₂² = 20² + 2×1.6×15 = 448

v₂ = √448 ≈ 21.166 m/s

v₂ ≈ 21.166 m/s

From, v₂ = u₂ + a·\(t_{15}\), we have;

21.166 = 20 + 9.8×t

1.6·\(t_{15}\) = 21.166 - 20 = 1.166

∴ \(t_{15}\) = 1.166/1.6 ≈ 0.72785

The ball will hit the ground after 2 × \(t_{max}\)  + \(t_{15}\) ≈ 2 × 12.5 + 0.72875 = 25.72875 ≈ 27.73

The ball will hit the ground after approximately 25.73 seconds

3. The height from which the ball is kicked, h₀ = 1 m

The initial velocity of the ball, u = 25 m/sec

The acceleration due to gravity, g = 9.8 m/s²

The relationship between the height, h and the time, t after the ball is released, is given as follows;

h = h₀ + u·t - 1/2·g·t²

B. The height of the ball after 2 seconds is given as follows;

At t = 2, h = 1 + 25 × 2 - 1/2 × 9.81 × 2² = 31.38

The height of the ball, after 2 seconds, h = 31.38 m

C. The time it takes the ball to hit the ground is given by the following kinematic equation, as follows;

h = h₀ + u·t - 1/2·g·t²

At the ground level, h = 0, therefore, we have;

0 = 1 + 25·t - 4.9·t²

Therefore, by the quadratic formula, we have;

t =  (-25  ± √(25² - 4×(-4.9)×1))/(2 × -4.9)

Therefore, t ≈ 5.142, or t ≈ -0.03969

Given that the time is a natural number, we have, t ≈ 5.142 seconds

D. The maximum height, \(h_{max}\) the ball reaches is given as follows;

From the kinematic equation, v² = u² - 2·g·h,

Where;

v = 0 at maximum height

h = The height the ball reaches above the initial height, we have;

0² = u² - 2·g·h

u² = 2·g·h

h = u²/(2·g) = 25²/(2 × 9.8) ≈ 31.888

\(h_{max}\) = h₀ + h = 1 + 31.888 ≈ 32.9

The maximum height the ball reaches, \(h_{max}\) ≈ 32.9 m

Answer:

Step-by-step explanation:

C.

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

Question: Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____

Current Progress: To express the given vector as a linear combination of u, v, and w, we need to find scalars a, b, and c such that (14, 9, 14) = a*u + b*v + c*w.

Step 1: Write the equation in component form:
(14, 9, 14) = (3a + b + 8c, a - b + 3c, 6a + 4b + 8c)

Step 2: Equate the corresponding components and solve for a, b, and c:
3a + b + 8c = 14
a - b + 3c = 9
6a + 4b + 8c = 14

Step 3: Solve the system of equations using any method (substitution, elimination, etc.). One possible solution is a = 1, b = -1, and c = 3.

Step 4: Plug the values of a, b, and c back into the linear combination equation:
(14, 9, 14) = 1*u + (-1)*v + 3*w

Step 5: Simplify the equation:
(14, 9, 14) = u - v + 3w

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

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Answer:

Children= 384      Adults= 170

Step-by-step explanation:

First, write a system of algebraic equations:

\(1.75x+2.50y=1097\)

\(x+y=554\)

Second, use linear combination to eliminate one variable (I will eliminate x, or children.)

\(1.75x+2.50y=1097\)

\(-1.75(x+y=554)\)

\(1.75x+2.50y=1097\)

\(-1.75x+-1.75y=-969.5\)

\(0.75y=127.5\)

Divide both sides by 0.75

\(0.75y=127.5\)

\(/0.75\)        \(/0.75\)

\(y=170\), there are 170 adults

Now, plug in 170 for \(x+y=554\)

\(x+170=554\)

Subtract 170 from both sides

\(x+170=554\)

      \(-170\)   \(-170\)

\(x=384\), there are 384 kids.

Hope this helps!!!

Answer:

384 children and 170 adults

Step-by-step explanation:

if x is children and y is adults

1.75x+2.5y=1097

x+y=554

1.75x=1097-2.5y

x=554-y

1.75x=1097-2.5y

1.75x=1.75(554-y)

1097-2.5y=969.5-1.75y

1097-969.5=2.5y-1.75y

127.5=0.75y

127.5/0.75=y

170=y

x+y=554

x=554-y

x=554-170

x=384

to prove these are correct just do 1.75(384)+2.5(170) and see if it equals 1097, and do 384+170 to see if its the amount of people

1.75(384)+2.5(170)

672+425

1097

384+170=554

Answer:

12 combos

Step-by-step explanation:

She can make about…combination

this is because:

pink shirt- pink skirt 1

pink shirt - black skirt 2

pink shirt - white skirt 3

pink shirt - red skirt 4

red shirt - pink skirt

red shirt - black skirt

red shirt - white skirt

red shirt - red skirt

white shirt - pink skirt

white shirt - black skirt

white shirt - white skirt

white shirt - red skirt

in math terms though, just multiply the 3 by 4 to get the amount :)

Answer:

Questions aren't listed

Step-by-step explanation:

The time that will elapse before the concentration of dye in the tank reaches 1% of its original value is 460.52minutes by using differential equation.

Let t denote the time in minutes, V = V (t) denote the amount of liquid in liters, and m = m(t) denote the amount of dye in grams. The tank initially has a capacity of 200 L and a concentration of 1\(\frac{g}{L}\), or mass of dye per unit volume.

P(t)=quantity of dye in tank after t min

P(0)=200

by using differential equation

\(\frac{dQ(t)}{dt}\)= rate in and rate out

\(\frac{dQ(t)}{dt}\)=-2\(\times \frac{Q(t)}{200} =- \frac{Q(t)}{100}\)

Q(t)=c×\(e^{\frac{-t}{100}}\)

200=Q(0)=c×\(e^0\)\(\rightarrow c=200\)

Q(t)=200×\(e^{\frac{-t}{100}}\)

1% of 200 is 2 grams

2=200×\(e^{\frac{-t}{100}}\)

\(e^{\frac{t}{100}}\)=100

t=100ln(100)

t=460.52minutes

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The future value of the deposits at the end of 5 years is approximately $6,138.74.

To calculate the future value of the deposits, we can use the formula for compound interest:

FV = P(1 + r/n)^(nt)

Where: FV is the future value

P is the principal amount (initial deposit)

r is the annual interest rate (3% in this case)

n is the number of times interest is compounded per year (quarterly in this case)

t is the number of years

In this case, the principal amount is $1,000, the annual interest rate is 3% (or 0.03), the number of times interest is compounded per year is 4 (quarterly), and the number of years is 5.

Plugging in these values into the formula, we get: FV = $1,000(1 + 0.03/4)^(4*5)

Calculating this, the future value of the deposits at the end of 5 years is approximately $6,138.74.

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Answer: 3/4x

Step-by-step explanation:

y = mx + b

m = slope b = y - intercept

y= 3/4x -3

Answer:

The answer is D

Step-by-step explanation:

B/c when probability comes 0 it is impossible out comes

Answer:

this should help ya ........

Answer:

x = 2, y = 4

Step-by-step explanation:

First we isolate and solve for x

y = 6x-8

y= -3x+10

6x-8 = -3x + 10

9x-8 = 10

9x = 18

x=2

Now we solve for y by inserting x into one of the equations

y = -3(2)+10

y = -6 + 10

y = 4

Answer:

x = 8

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion , that is

\(\frac{RT}{WU}\) = \(\frac{RS}{WV}\) ( substitute values )

\(\frac{6x+15}{28}\) = \(\frac{108}{48}\) ( cross- multiply )

48(6x + 15) = 28 × 108 = 3024 ( divide both sides by 48 )

6x + 15 = 63 ( subtract 15 from both sides )

6x = 48 ( divide both sides by 6 )

x = 8

Answer:

B) {3.75}

Step-by-step explanation:

Step 1: Make the 6 and 8 the sme thing by finding a number they both multiply towards. In this case it would be 8×3=24 and 6×4=24

Step 2: Multiply 5 by 3 since you multipliEd 8 by 3 so now you have 15/24.

Step 3: Divide the 15 by 4 since you multiplied 6 by 4 to get get 3.75

The only reason you made the 8 and the 6 the same was to see what you would divide 15 by. Please give brainliest if I helped :)

Answer: calculator

Step-by-step explanation:

2.16$

Answer:

The LCM of 8 and 28 is 56.

Step-by-step explanation:

The least common multiple (LCM) of two or more numbers is the smallest number that is divisible by all the numbers. To find the LCM of two numbers, we list the multiples of each number and find the smallest multiple that is common to both numbers.

For the numbers 8 and 28, the multiples are:

Multiples of 8: 8, 16, 24, 32, 40, ...

Multiples of 28: 28, 56, 84, 112, 140, ...

The LCM of 8 and 28 is 56, since 56 is the smallest multiple that both numbers share. This means that 56 is the smallest number that can be divided evenly by both 8 and 28, and is therefore the LCM of the two numbers.

If the parent function \(\sf y=(1.6)^x\) is translated 5 units up and 9 units to the right, then you should subtract 9 from x and add 5 to the whole function. Thus,

1) translation the parent function \(\sf y=(1.6)^x\) 9 units to the right gives you the function \(\sf y=(1.6)^{x-9}\).

2) translation the function \(\sf y=(1.6)^{x-9}\) 5 units up gives you the function \(\sf y=(1.6)^{x-9}+5\)

Therefore, the correct choice is C

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SS₁ is approximately 291.6. To calculate SS₁, we need to use the formula: where s1 is the sample standard deviation for sample 1.

SS₁ = (n1 - 1) * s1²

where s1 is the sample standard deviation for sample 1.

We are given n₁= 11, df₁ = 10, df₂ = 20, s₁ = 5.4, and SS₂ = 12482. To find SS1, we first need to find the pooled variance, which is:

s²= ((n1 - 1) * s1² + (n₂- 1) * s2²) / (df₁+ df₂)

where s₂ is the sample standard deviation for sample 2. We are not given s₂, but we can find it using the formula:

s2² = SS₂ / (n₂- 1)

Plugging in the values, we get:

s2² = 12482 / (21 - 1) = 624.1

Taking the square root, we get:

s₂ ≈ 25.0

Now we can find the pooled variance:

s²=  (n1 - 1) * s1² + (n2 - 1) * s2² ) / (df1 + df2) =  (11 - 1) * 5.4²+ (21 - 1) * 25.0² ) / (10 + 20) = 577.617

Finally, we can find SS₁:

SS₁ = (n₁ - 1) * s1²= 10 * 5.4² = 291.6

Therefore, SS₁ is approximately 291.6.

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First you will get 4dz

Answer:

x value of vertical asymptote and y value of horizontal asymptote

Step-by-step explanation:

The graph of 1/x approaches infinity as x approaches 0 (the vertical asymptote)

As x gets either bigger or smaller, 1/x approaches the x-axis (from above on the positive side, from below on the negative side) (the horizontal asymptote)

Consider 1/(x-5) + 2, at what value of x does the graph 'go nuts' ?

When the bottom of the fraction becomes 0, x - 5 becomes 0 when x = 5, so the vertical asymptote of g(x) is at x=5

What value of y does f(x) approach as x gets more positive or more negative - as x gets bigger (as an example), y approaches 0

What y value does g(x) approach as x gets bigger?  Well, as x gets big, 1/(x-5) gets small, approaching 0.  The smallest 0 + 2 can get is 2, so y=2 is the horizontal asymptote

Answer:

-30

Step-by-step explanation:

The scuba driver is below the sea and ground level which is 0 ft, and he dives down 30 ft so it should be negative.

Hope it helps!

Use the attachment (It has a full explanation and answer).

Using the Pythagorean theorem, the length of the line is: √45 = 6.7 units.

The Pythagorean theorem is the equation that describes how the lengths of the three sides of a right triangle relate to each other. If a and b are smaller legs, and c us the hypotenuse of the triangle, the Pythagorean theorem states that:

c² = a² + b².

Consider the line above to be the hypotenuse of a right triangle that is formed by the rise and run of the line.

Rise = a = 3 units

Run = b = 6 units

Line = c

Therefore:

c² = 3² + 6²

c² = 9 + 36

c² = 45

c = √45

c = 6.7 units.

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Based on the line of best fit, the predicted day's high temperature would be around 103 degrees Fahrenheit.

Angel collected data on the number of hot cocoas sold in relation to the day's high temperature and plotted a line of best fit.

Based on this line, if Angel sold 95 hot cocoas, the predicted day's high temperature would be around 103 degrees Fahrenheit.

This prediction is derived from the relationship observed in the data, suggesting that as the number of hot cocoas sold increases, the day's high temperature tends to decrease.

However, it's important to note that this prediction is based on the line of best fit and may not precisely reflect the actual temperature.

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Answer:

Step-by-step explanation:

(-2, 8)

(-1, 6)

(0, 4)

(1, 2)

(2,0)

to "show work" just plug in each x value into that equation. you will never learn if all you do is copy down answers. i have given you all of the correct answers, and all you need to do is plug in the values for each x value into the equation, multiply then add. good luck man.

Answer: E, A and C.

Step-by-step explanation:

The first question would be E because it is the closest to zero. An easy way to this one is to look at A and E because they are obviously the closest to 0, however when you simply A down, it becomes 1/5. 1/5 is larger than 1/8, therefore 1/8 would be the smaller one closer to 0.

The second question would be A and C, or the second answer, because the question is asking for an answer that is less than half. To do this one easily, look at the numerator, and if it's less than half of the denominator (for example in A, 1 is NOT more than half of 3, however in E, 7 is more than half of 12).

Enzo's net worth = Enzo's assets - Enzo's liabilities. The resulting number is his net worth.

Enzo's net worth = (Enzo's cash + Enzo's investments + Enzo's property + Enzo's other assets) - (Enzo's loans + Enzo's credit card debt + Enzo's other liabilities)

Enzo's net worth is calculated by subtracting his liabilities from his assets. Enzo's assets include cash, investments, property and other assets he may own. His liabilities include any loans he has taken out, any credit card debt, and any other liabilities he may have. To find Enzo's net worth, you would add up all of his assets and subtract from that all of his liabilities. The resulting number is his net worth.

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It will take them 2 hours to crash into each other. The two boys are standing 30 miles apart and are both going to start cycling towards each other at the same time. They are traveling at a constant speed of 15 miles per hour.

Since they are traveling towards each other, the total distance they will cover is the sum of the distances they each travel.
To find the time it takes for them to crash into each other, we can use the formula:
Time = Distance / Speed
The total distance they need to cover is 30 miles, and their speed is 15 miles per hour.
Time = 30 miles / 15 miles per hour = 2 hours
Therefore, it will take them 2 hours to crash into each other.

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"Copy an angle" construction has been performed.

What is an angle?

Two lines intersect at a location, creating an angle. An "angle" is the term used to describe the width of the "opening" between these two rays.  Angles are frequently expressed in degrees and radians, a unit of circularity or rotation. We encounter angles frequently in life. Angles are used in the design of buildings, roadways, and sports venues by engineers and architects.

Observe that angles BAC and TSR are same.

This means, construction is done to copy the angle BAC.

So, "copy an angle" construction has been performed.

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