There is this area stuff I have to do. No clue what I’m doing

One mole of H2 contains 6.022 x 10^23 H2 molecules. This can be used to calculate the number of H2 molecules in a given volume or mass of hydrogen gas.

A mole is a unit of measurement in chemistry that expresses the amount of a substance. It is defined as the number of entities (such as atoms, ions, or molecules) in a sample of the substance. The number of entities in one mole of a substance is known as Avogadro's number.

Avogadro's number is a fundamental constant of physics and chemistry, defined as the number of atoms, ions or molecules in one mole of substance. It is approximately 6.022 x 10^23 and is used in many calculations in chemistry and physics, such as the number of atoms in a sample of an element, the number of ions in a salt, or the number of molecules in a gas sample. The constant is named after Amedeo Avogadro, an Italian scientist who first proposed the concept in 1811.

One mole of a substance is equal to Avogadro's number, which is approximately 6.022 x 10^23.

The mole of H2 (hydrogen gas) is the number of H2 molecules in a sample of hydrogen gas. One mole of H2 contains 6.022 x 10^23 H2 molecules. This can be used to calculate the number of H2 molecules in a given volume or mass of hydrogen gas.

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Hello!

In order to solve this equation,we must first find out what distance is being traveled in 4 hours. If we travel 4 hours, at a constant speed of 60 miles,we must multiple those two numbers to find the distance travelled.

60x4 is 240.

This means we must divide 240 by 3 hours to find our constant rate of speed.

240 divided by 3 is 80.

This means, we would need to travel 80 mph to arrive to the same location in three hours.

x=80.

Hope this helps & good luck.

Answer:

The equation that can be used to find its speed (x) to cover the same distance is f(x) = x + 60

Step-by-step explanation:

First off, let's gather what we know. The car will take 4 hours to cover a distance if it is going 60 mph. We need the car to be a speed where it can cover the same distance within 3 hours.

THe first step to solving this problem is dividing 60 by 4 to see how much the speed of the car should increase in order to travel the same distance within 3 hours.

60/4 = x

We need to add x to the original speed of 60 mph.

Therefore, the equation that can be used to find its speed (x) to cover the same distance is f(x) = x + 60

Therefore, the equation that can be used to find its speed (x) to cover the same distance is f(x) = x + 60

Hope this helps! :)

Answer:

D

Step-by-step explanation:

Answer:

95,013

Step-by-step explanation:

If you use the formula A=L*W You multiply the width, 24 3/4, by how long it is, 39, 1/2. And you should get a rounded answer of 95,013!

Answer:

B = A - 4C/3

is your answer

Step-by-step explanation:

To find B you would have to isolate B from the equation itself,

3B + 4C = A

3B = -4C + A

then individualize 3 from B and transfer it as a denominator under - 4C + A

B = - 4C + A/3

then flip around the order to make it systematically correct.

B = A - 4C/3

I hope this helped you!

Equation D would determine the cost of 13 glue sticks, i.e., 13/4=7.76/x

When reduced to their most basic equation, ratios that are equivalent to one another are also referred to as equivalent fractions. As a brief illustration, consider the ratios below.

1/2=2/4=4/8=8/16

The ratio between the numerators and denominators in each of these fractions is known to be the same. In their simplest form, they all add up to one half.

The unit rate or constant of proportionality is the same for equivalent ratios. As an illustration, the unit rate or ratio for the above fractions is 2 when we compare the denominators to the numerators.

How to solve?

4 glue sticks cost $7.76

1 glue stick costs 7.76/4

13 glue sticks cost 7.76/4 * 13

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Step-by-step explanation:

x^2 -y^2 = 25

x/y = 3/2    or   x = 3/2 y   <=====sub into first equation

(3/2 y)^2 - y^2 = 25

9/4 y^2 - y^2 = 25

5/4 y^2 = 25

y^2 = 25 (4/5) = 20

y = sqrt (20) = 2 sqrt 5

                then x = 3/2 y =  3 sqrt5

Answer:

D. 80, 140, 70

Step-by-step explanation:

80°, 140° and 70° cannot form a triangle as the total number of the three angles is 290° whereby the total number of angles in a triangle is 180°

Answer:

80, 140, 70

Step-by-step explanation:

because

Answer:

The fraction that represents the addition model shown above will be 53/100.How to solve the fraction?From the information given, a grid with 10 equal columns is shown with 5 shaded in. This will be expressed as 5/10.Also, a second grid is shown, identical in size, containing 100 squares with 3 shaded in. This will be expressed as 3/100.Therefore, the problem that represents the addition model shown above will be:= 5/10 + 3/100= 50/100 + 3/100= 53/100In this case, the answer given by Emma is incorrect as he added 5 to 3 and got 8/100.

Step-by-step explanation:

Answer:

You are correct

Step-by-step explanation:

Another way to do it is 4 x 4 x 4 and that would equal 12.

Hope this helps :)

Answer:

This is correct :)

Step-by-step explanation:

3^4= (3)(3)(3)(3)

HTH

Answer:

1-32%

2-33.33%

3-150%

4-80%

5-20%

6-75%

Step-by-step explanation:

The value of the 5y coefficient is 5 and The constant is 4 in the formula 4.

What is polynomials?

Using variables and coefficients, polynomials are algebraic expressions. The term "indeterminates" is sometimes used to describe variables. The terms Poly and Nominal, which together signify "many" and "terms," make up the word polynomial. When exponents, constants, and variables are combined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable). The expression is categorized as a monomial, binomial, or trinomial based on the number of terms it contains.

5y+b+4

You can decompose the equation 5y+b+4 into the terms 5y, b, and 4.

Coefficients are a type of numerical element that multiply a variable. The term 5y is used to multiply the variable y, so the coefficient is 5. That 5 is a coefficient, as Jake claims, is therefore true.

Constants are numbers with no variables. As 4 contains only a constant and no variables, the answer is 4. Hence, 4 is a constant.

Hence The value of the 5y coefficient is 5 and The constant is 4 in the formula 4.

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Answer:

Step-by-step explanation:

The height of the tree to the nearest hundredth of a meter is 1.875 meters.

Given that:

Khalil is 1.65 meters tall. At 3 p.m., he measures the length of a tree's shadow to be 34.55 meters. He stands 30.4 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow.

Let h be the height of khalil h = 1.65 , H be the tree height , L be the length of the tree's shadow L = 34.55 and l be the length of khalil shadow l = 30.4

Using equivalent ratios of heights:

h : H = l : L

H : 1.65 = 34.55 : 30.4

H/1.65 = 34.55/30.4

H = 34.55/30.4 * 1.65

on solving

H = 1.875 meters which is tree height

Therefore the height of the tree to the nearest hundredth of a meter is 1.875 meters.

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Answer:

A = 120 cm²

Step-by-step explanation:

The 4 part of the ratio relates to the height of triangle A , then

16 ÷ 4 = 4 cm ← value of 1 part of the ratio, then

5 parts = 5 × 4 cm = 20 cm

The area (A) of triangle B is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height )

Here b = 12 and h = 20 , then

A = \(\frac{1}{2}\) × 12 × 20 = 6 × 20 = 120 cm²

The height of the triangle is 20 and the area of the triangle B is 120 cm^2

Area of the triangle:

The area of the triangle can be calculated as

Area = \(\frac{1}{2}*base*height\)

Here we have given that

The base of the triangle A = The base of the triangle B = 12 cm

The ratio of the height of triangle A to triangle B is = 4/5

And the height of the triangle A is = 16 cm

If x is the height of the triangle B then

\(\frac{16}{x}=\frac{4}{5}\)

4x = 80

x = 20

Therefore the height of the triangle B is 20 cm

Now substitute these values in the above formula we have

Area of triangle B = 1/2 x 12 x 20

Area of triangle B = 120 cm^2

Hence the final answer is 120 cm^2

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The coordinates of P are (-0.82, 3.56).

The coordinates of M are (-2.1, -2.2).

The midpoint of a line segment is written as,

x = (a + c)/2

y = (b + d) / 2

Where (x, y) are the coordinates of the midpoint and (a, b) and (c, d) are the two endpoints.

We have,

R = (4.3, 7.4)

T= (-8.5, -2.2)

S = (4.3, -2.2)

Segment RT is divided into 5 equal parts.

So,

TP : PR = 3 : 2 = m : n

The coordinates of P.

T= (-8.5, -2.2) = (a, b)

R = (4.3, 7.4) = (c, d)

x = \(\frac{mc + na}{m + n}\)

x = \(\frac{3\times4.3 + 2\times-8.50}{5}\)

x = \(\frac{12.9 - 17}{5}\)

x = \(\frac{-4.1}{5}\)

x = -0.82

And,

y = \(\frac{md + nb}{m + n}\)

y = \(\frac{3\times7.4 + 2\times-2.2}{5}\)

y = \(\frac{22.2 - 4.4}{5}\)

y = 3.56

The coordinates of P are (-0.82, 3.56).

Now,

T= (-8.5, -2.2)

S = (4.3, -2.2)

M is the midpoint of TS.

So,

M = (x, y)

x = \(\frac{(4.3 - 8.5)}{2}\) = \(\frac{x-4.2}{2}\) = -2.1

y = \(\frac{-2.2 - 2.2}{2}\) = \(\frac{-4.4}{2}\) = -2.2

M = (x, y) = (-2.1, -2.2)

Thus,

The coordinates of P = (-0.82, 3.56).

The coordinates of M = (-2.1, -2.2).

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Answer:

The answer is (-3.38,1.64),(-0.82,-2.2)

Step-by-step explanation:

I just got it right on the test

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

\(100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars\)

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Answer:

x=15√2  y=90 degrees.

Step-by-step explanation:

Thanks to the Pythagorean Theorem we know that with any right triangle, A^2+B^2=C^2. In this case we can use 15^2+15^2=sqrt of 450. The square root of 450 is 15 times the square root of 2. Thus x=15√2. Now we need to find y. All angles in a triangle add up to 180 so if we have 45+45+y=180 then y=90.

So, the length of the side adjacent to angle β is approximately 17.15 cm. triangle Therefore, the closest option is 16.7 cm.

A triangle is a closed, double-symmetrical shape composed of three line segments known as sides that intersect at three places known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all factions equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles are fewer than 90 degrees), good (one angle is equal to 90 degrees), or orbicular (all angles are higher than 90 degrees) (all angles greater than 90 degrees). The region of a triangle can be calculated using the formula A = (1/2)bh, where an is the neighbourhood, b is the triangle's base, and h is the triangle's height.

sin(β) = opposite/hypotenuse

\(hypotenuse^2 = adjacent^2 + opposite^2\\17.5^2 = adjacent^2 + opposite^2\\306.25 = adjacent^2 + opposite^2\\\)

opposite = sin(β) x hypotenuse = 0.292 x 17.5 = 5.095 cm

\(306.25 = adjacent^2 + 5.095^2\\306.25 - 5.095^2 = adjacent^2\\294.81 = adjacent^2\\\)

√294.81 = adjacent

So, the length of the side adjacent to angle β is approximately 17.15 cm. Therefore, the closest option is 16.7 cm.

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Check the picture below.

\(\textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left( ~~ \cfrac{\pi \theta }{180}-\sin(\theta ) ~~ \right) \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =60 \end{cases} \\\\\\ A=\cfrac{8^2}{2}\left( ~~ \cfrac{\pi (60) }{180}-\sin(60^o ) ~~ \right)\implies A=32\left( ~~ \cfrac{\pi }{3}-\sin(60^o ) ~~ \right) \\\\\\ A=32\left( ~~ \cfrac{\pi }{3}-\cfrac{\sqrt{3}}{2} ~~ \right)\implies A=\cfrac{32\pi }{3}-16\sqrt{3}\implies A\approx 5.8~in^2\)

Around 50% to 75% of the daffodils on the south side of the building are not between 46cm and 48cm.

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Here,

This question asks for the probability that none of the three daffodils selected from the south side of the building are between 46cm and 48cm.

Since the median of the data is 46cm

the third quartile is 48cm,

this means that about 50% to 75% of the daffodils on the south side of the building are between 46cm and 48cm.

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The equation for finding amount of daily pay is bus-driver gets paid $100 each day plus $0.20 per kilometer, "k" is p = 100 + 0.20k.

The equation for finding the amount of daily pay, "p", in the given situation would be : p = 100 + 0.20k,

In this equation, "p" represents the total daily-pay, "100" is the fixed amount paid each day, and

"$0.20" is the rate per kilometer. "k" represents the number of kilometers driven on that day.

To calculate the daily pay, you add the fixed amount of $100 to the product of the rate per kilometer and the number of kilometers driven on that day.

Therefore, the required equation is p = 100 + 0.20k.

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The given question is incomplete, the complete question is

Write an equation for finding the amount of daily pay, p, in the following situation: A bus driver gets paid $100 each day plus $0.20 per kilometer, "k".

The total number of kilometres that Calvin has swum in these competitions would be = 3 kilometres.

The total number of 400 meters races he covered = 5

The total number of 200 meters races he covered = 5

Therefore the total meters he swum;

= (400×5) + (200×5)

= 2000+1000

= 3000m

But 1 km = 1000m

3000m = 3km

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Answer:

The answer to this question is 2.137931034

Step-by-step explanation:

Just divide it by a calculator.

Answer:

For one toy car = 5

for step by step explanation

For six toy car = 30

then

for one toy car = 30 ÷ 6 = 5

To find the price of one chocolate divide the total number of cost with how many chocolates and u get the answer 5 dollars

The flux of the vector field F through the cone is zero.

To find the flux of the vector field F = 5xy i - 2z k outward through the cone z = 6 square root x^2 +y^2 with 0 ≤ z ≤ 6, we need to first parameterize the cone. Let x = r cos θ and y = r sin θ, where r ≥ 0 and 0 ≤ θ ≤ 2π, then we have z = 6r for the cone.

Now we can compute the unit normal vector n as n = (zr/6) cos θ i + (zr/6) sin θ j + (z/6) k, and then calculate the dot product F · n as F · n = 5xy (zr/6) - 2z (z/6) = (5/6)zr^2 cos θ sin θ - z^2/3.

The double integral of F · n over the cone is then given by:

doubleintegral_S F · n dS = doubleintegral_R (5/6)zr^2 cos θ sin θ - z^2/3 r dr dθ

where R is the region in the xy-plane that corresponds to the base of the cone.

Integrating with respect to r first, from 0 to 6, we get:

doubleintegral_S F · n dS = integral_0^(2π) integral_0^6 (5/18)z^3 cos θ sin θ - (1/9)z^3 r dr dθ

Evaluating the integral with respect to r and then θ, we obtain:

doubleintegral_S F · n dS = 0

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Answer:

f(-3) = -8

Step-by-step explanation:

\(\huge \bf༆ Answer ༄\)

The Angles marked there forms linear pair, and therefore they add up to be equal to 180°

That is ~

Therefore, value of x is 50°

The relative minimum is at t = 1/√2, the relative maximum is at t = -1/√2, the absolute minimum is at t = ±2, and the absolute maximum is at t = 1/√2.

To find the relative and absolute extrema of the function f(t) = t^2 - (1/t^2) over the domain [-2, 2], we first find the critical points by setting the derivative equal to zero:

f'(t) = 2t + 2/t^3 = 0

Solving for t, we get:

t = ±(1/√2)

We now check the second derivative to classify the critical points:

f''(t) = 2 - 6/t^4

At t = 1/√2, f''(t) > 0, so we have a relative minimum at t = 1/√2.

At t = -1/√2, f''(t) < 0, so we have a relative maximum at t = -1/√2.

To determine if there are any absolute extrema, we evaluate the function at the endpoints of the domain:

f(-2) = 4 - 1/4 = 15/4

f(2) = 4 - 1/4 = 15/4

Since f(t) is a continuous function over the closed interval [-2, 2], and the critical points and endpoints are finite, the extreme value theorem tells us that f(t) must have an absolute minimum and an absolute maximum on the interval.

Since f(-1/√2) is greater than both endpoints, the absolute minimum must occur at one of the endpoints.

Therefore, the absolute minimum of f(t) over the domain [-2, 2] is 15/4, which occurs at t = ±2.

Since f(1/√2) is less than both endpoints, the absolute maximum must occur at t = 1/√2.

Therefore, the absolute maximum of f(t) over the domain [-2, 2] is 7, which occurs at t = 1/√2.

In summary, the relative minimum is at t = 1/√2, the relative maximum is at t = -1/√2, the absolute minimum is at t = ±2, and the absolute maximum is at t = 1/√2.

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Triangle ADC and ΔBDC are congruent.     then DE ≅ CE

What do you mean by congruent?

Given,

        AD ≅ BC

      ∠BCD ≅ ∠ADC

In triangle ADC and ΔBDC

                    AD ≅ BC    ( GIVEN )

      ∠BCD ≅ ∠ADC          ( GIVEN )

             DC = DC             ( Common line)

so  triangle ADC and ΔBDC are congruent.

             then DE ≅ CE

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