the number 4,304 in word from

c it's making me type 20 more characters

answer is (A)

i just rook the test so trust

Answer:

333/1000

~Deku

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

Answer:52

Step-by-step explanation:

Multiply 4x4x2=32

And do

85-32= 52

The molar solubility of scandium fluoride can be calculated using the solubility product constant (Ksp) and stoichiometry. The molar solubility is approximately 7.61 × 10^(-9) mol/L.

The solubility product constant (Ksp) is an equilibrium constant that represents the equilibrium between a solid compound and its dissociated ions in a saturated solution.

For scandium fluoride (ScF3), the equilibrium can be represented as follows:

ScF3 (s) ⇌ Sc³⁺ (aq) + 3F⁻ (aq)

The solubility product expression for this equilibrium is:

Ksp = [Sc³⁺][F⁻]³

Given that the Ksp value for scandium fluoride is 5.8 × 10^(-24), we can use this information to calculate the molar solubility.

Step 1: Assign variables to the molar solubility.

Let x represent the molar solubility of ScF3 in mol/L.

Step 2: Write the equilibrium expression.

Since the stoichiometry of the reaction is 1:3, the equilibrium expression becomes:

Ksp = (x)(3x)³ = 27x⁴

Step 3: Substitute the Ksp value and solve for x.

Plugging in the Ksp value of 5.8 × 10^(-24), we have:

5.8 × 10^(-24) = 27x⁴

Step 4: Solve for x.

Taking the fourth root of both sides, we get:

x⁴ = (5.8 × 10^(-24))/27

x⁴ ≈ 7.61 × 10^(-26)

Taking the square root of both sides, we find:

x ≈ 7.61 × 10^(-9) mol/L

Therefore, the molar solubility of scandium fluoride is approximately 7.61 × 10^(-9) mol/L.

In summary, by using the solubility product constant (Ksp) and stoichiometry, we can calculate the molar solubility of scandium fluoride. In this case, the molar solubility is approximately 7.61 × 10^(-9) mol/L, indicating that scandium fluoride has a very low solubility in water.

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Answer:

Corresponding angles converse theorem

Step-by-step explanation:

If two lines (AB and CD) are intersected by a transversal (BD) and corresponding angles are congruent (∠B ≅ ∠D), then the lines are parallel.

Answer:

Corresponding angles converse theorem

Step-by-step explanation:

If two lines (AB and CD) are intersected by a transversal (BD) and corresponding angles are congruent (∠B ≅ ∠D), then the lines are parallel.

Answer:

The answer is 4. have a nice day!

Hello.

In order to find \(\mathrm{\displaystyle\frac{1}{8} }\) of 32, we need to divide 32 by 8:

\(\mathrm{32:8}\\\mathrm{4}\)

Therefore, the final answer is

\(4\).

I hope this helps you.

Have a nice day.

\(\boxed{imperturbability}\)

Model C, as it uses the largest liner among the three described pools. On the other hand, the answer to the second question is Model A, which uses the smallest liner.

In swimming pool construction, a liner is a material that covers the interior walls and floor of the pool. It provides a smooth surface for swimmers and prevents water from seeping into the ground. Model C, which is described as a large and deep pool with a diving board, would require a liner that can withstand high levels of water pressure and impact. Therefore, it would use the largest liner among the three models. Meanwhile, Model A, which is a small and shallow pool designed for children, would require a smaller liner, making it the model that uses the smallest liner.

A pyramid is a polyhedron with a polygonal base and triangular faces that meet at a common vertex. The net of a pyramid is a two-dimensional pattern that can be folded to form the pyramid. Since a pyramid has only one base, its net would contain exactly one polygon. In the case of a regular pyramid, the base would be a regular polygon, and the triangular faces would be congruent. Therefore, the answer to the third question would be B, which indicates that the net of the pyramid would contain three congruent triangular faces.

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The coin purse hit the ground in 3 seconds.

Given :

\($\mathrm{f}(\mathrm{t})=16 \mathrm{t}^2$\) ----- (represent the distance(in feet) a dropped object falls in t seconds)

\($\mathrm{g}(\mathrm{t})=\mathrm{s}_0=144 \mathrm{ft}$\) ------ (represent the initial height (in feet) of the coin purse)

The function that represents the distance a dropped coin purse falls in t seconds,

\($f(t)=144-16 t^2$\)

When the coin purse touches the ground,

\($f(t)=0$\)

\($0=144-16 t^2$\)

\($t^2=\frac{144}{16}=9$\)

t = +3 and t = -3

So we take positive t.

Therefore, the coin purse hit the ground in 3 seconds.

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Answer:

Well the equation of the line is -3x+4, so we know the slope is -3/1

Answer:

1/3

Step-by-step explanation:

Rise = 1

Run    3

If you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x

The standard exponential function is expressed as:

y = ab^x

The value of x determines the nature of a graph whether vertical or horizontal stretch.

If x  > 1, it is a vertical stretch

Given the function f(x) = 2^x, if you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x

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Let's start solving the expression using the product to sum formulae.

Here's the given expression,

\[\sin \frac{x}{3} \cos \frac{2 x}{3}+\cos \frac{x}{3} \sin \frac{2 x}{3}\]

Using the product-to-sum formula,

\[\sin A \cos B=\frac{1}{2}[\sin (A+B)+\sin (A-B)]\]

Applying the above formula in the first term,

\[\begin{aligned}\sin \frac{x}{3} \cos \frac{2 x}{3} &= \frac{1}{2} \left[\sin \left(\frac{x}{3}+\frac{2 x}{3}\right)+\sin \left(\frac{x}{3}-\frac{2 x}{3}\right)\right] \\&= \frac{1}{2} \left[\sin x+\sin \left(-\frac{x}{3}\right)\right]\end{aligned}\]

Using the product-to-sum formula,

\[\cos A \sin B=\frac{1}{2}[\sin (A+B)-\sin (A-B)]\]

Applying the above formula in the second term,

\[\begin{aligned}\cos \frac{x}{3} \sin \frac{2 x}{3}&= \frac{1}{2} \left[\sin \left(\frac{2 x}{3}+\frac{x}{3}\right)-\sin \left(\frac{2 x}{3}-\frac{x}{3}\right)\right] \\ &= \frac{1}{2} \left[\sin x-\sin \left(\frac{x}{3}\right)\right]\end{aligned}\]

Substituting these expressions back into the original expression,

we have\[\begin{aligned}\sin \frac{x}{3} \cos \frac{2 x}{3}+\cos \frac{x}{3} \sin \frac{2 x}{3} &= \frac{1}{2} \left[\sin x+\sin \left(-\frac{x}{3}\right)\right]+\frac{1}{2} \left[\sin x-\sin \left(\frac{x}{3}\right)\right] \\ &=\frac{1}{2} \sin x + \frac{1}{2} \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)\\ &= \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)\end{aligned}\]

Therefore, the given expression can be written in terms of a single trigonometric function as:

\boxed{\sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)}

Hence, the required expression is \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right). The solution is complete.

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Answer:

28.5 acres

Step-by-step explanation:

95 acres total

30% is being used for trees

95 acres * .3 = 28.5 acres

Answer:

C

Step-by-step explanation:

The graph passes through \((-2,-5)\) but not \((2,5)\).

The line is steep, and has a slope of more than 1.

y = -7

x = 56/45

see the pic, hope its correct

Answer:

108

Step-by-step explanation:

3*36=108

Answer:

108

Step-by-step explanation:

36x3

P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

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141.472 N of drag force is applied in 1.6m wide and 1.4m high car travelling at 10m/s

Drag force is the net force in the direction of flow experienced by any item moving through a fluid and is caused by pressure and shear stress forces acting on the surface of the object.

Formula of drag force is given by:

\(F_d = \frac{1}{2}C_dAPv^2\)

where

\(F_d\) = drag force (N)

\(C_d\) = drag coefficient (1.05 for moving car)

P = density of fluid (1.2 kg/m3 for air at NTP)

v = flow velocity (m/s)

A = characteristic frontal area of the body

A = height * width

=> 1.6*1.4

so A=2.24 \(m^2\)

and v=10 m/s

so \(F_d\) = 1/2* 1.05 * 2.24 *( 1.2 *10*10)

=> 0.5*1.05*2.24 *122

=> 143.472 N

so \(F_d\)  = 143.472 N

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Answer:

Step-by-step explanation:

slope of line = 7/3

y-intercept is = 7

Answer:

3x²+8x-35

Step-by-step explanation:

FOIL stands for:

First -> (3x-7)(x+5)

Outer -> (3x-7)(x+5)

Inner -> (3x-7)(x+5)

Last -> (3x-7)(x+5)

Following FOIL, we get:

(3x-7)(x+5)

(3x)(x)+(3x)(5)+(-7)(x)+(-7)(5)

3x²+15x-7x-35

3x²+8x-35

Therefore, the expanded form is 3x²+8x-35

4(3+14c−12d)

=(4)(3+14c+−12d)

=(4)(3)+(4)(14c)+(4)(−12d)

=12+c−2d

=c−2d+12

No , it is not possible to form a triangle with side lengths 3.5, 3.5, and 9 , because of the rule that sum of any two sides must be greater than other side. So, Option D is correct.

A triangle is a two-dimensional shape formed by three line segments connecting three points. In order to form a triangle, a necessary and sufficient condition is that the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the triangle inequality theorem.

If the sum of the lengths of any two sides is less than or equal to the length of the third side, then the three line segments will not be able to form a closed shape, and therefore cannot form a triangle.

In the case of the triangle with side lengths 3.5, 3.5, and 9, the sum of the lengths of the first two sides is 7, which is less than the length of the third side, 9. Hence, these three side lengths do not satisfy the triangle inequality theorem, and therefore cannot form a triangle.

In general, to determine the type of triangle that can be formed with three given side lengths, it is necessary to compare the lengths of the sides and check if any two sides are equal in length (isosceles), or if all three sides are equal in length (equilateral). If none of the sides are equal, then the triangle is called scalene.

In this case, since it is not possible to form a triangle with the given side lengths, it is not possible to determine the type of triangle that would be formed.

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Answer:

So, A

22 divided by 5

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

22 /5

Decimal Form:

4.4

Mixed Number Form:

4  and 2 /5

Next, B

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

7 /8

Decimal Form:

0.875

Step-by-step explanation:

I hope this helps! Have a great day!

Answer:

I have boxed and highlighted the answer. Sorry for the ink to make the answers a bit messy, but the answers are :-

a. 22 ÷ 5 = 4.4

b. 7 ÷ 8 = 0.875

Hope this helps, thank you :) !!

Answer:

Step-by-step explanation:

From the diagram, mAD lies on the line BDF. Sum of angle on a straight line is 180°. According to the line BDF; mAB + mAD = 180°

From the diagram, mAB = 43°. Substituting this value into the above equation;

mAB + mAD = 180°

43° + mAD = 180°

mAD = 180°-43°

mAD = 137°

Hence, the measure of angle mAD is 137°

Answer:

Slope = 5/2

Step-by-step explanation:

The probability of getting two multiples of 10 = 49/100

The probability of getting a number less than 100 for both draws,

= 9/25

The probability of getting a number less than 100, and then a number greater than 400 = 9/50.

The Probability in mathematics is the possibility of an event in time. In simple words, how many times, that incident is happening in any given time interval.

Two numbers are selected,

one after another, without replacement,

from the set below.

{10, 12, 24, 50, 60, 100, 260, 480, 606, 1000}.

From this set,

the probability of getting two multiples of 10 = 7/10 x 7/10 = 49/100

The probability of getting a number less than 100 for both draws,

= 6/10 x 6/10 = 36/100 = 9/25

The probability of getting a number less than 100, and then a number greater than 400 = 6/10 x 3/10 = 18/100 = 9/50

Therefore, all the required probabilities are given below.

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Answer:

0.625

Step-by-step explanation:

5 out of 8 of the sections in the circle are yellow. This means that there is a 5/8 chance of the spinner landing in a yellow section.

5/8 written as a decimal is 0.625

The answer is 0.625

Answer:

1/80

Step-by-step explanation:

-8*5*xy= -1

Sub 2 for x

-8*5*2*y= -1

-80y=-1

y=1/80

(i was kinda confused because i wasn't sure if the x was a variable or a multiplication symbol but i made it a variable) yea