Factorise fully
10c - 25 I NEED THE RIGHT AWNSER

the velocity of the car travels a distance of 100 feet in miles per hour is 24.54 miles / hour.

A car travels a distance = 100 feet .

1 feet = 0.000189 miles

100 feet = 0.0189 miles

Time taken by the car = 2.8 seconds.

1 second = 0.000277 hour

2.8 seconds = 0.00077 h0urs

distance = speed x time

speed  = distance / time

speed = 0.0189 miles/ 0.00077 h0urs

speed = 24.54 miles / hour

then, the velocity of car is 24.54 miles / hour.

the velocity of the car travels a distance of 100 feet in miles per hour is 24.54 miles / hour.

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The Rational numbers ( Q ) include the Natural numbers ( N ):

A natural number is always a rational number.

:)

The displacement of the object between t=0 and t=1 second is 5.66 m.

The displacement of the object between t=0 and t=1 second is calculated as follows;

The given equation of the object's motion;

x = 4 cos (πt  +  π/4)

where;

at a time, t = 0 second, the displacement of the object is calculated as;

x = 4 cos (πt  +  π/4)

x = 4 cos (0 + π/4)

x = 4 cos (π/4)

x = 2.83 m

at time t = 1 second, the displacement of the object is calculated as;

x = 4 cos (π  + π/4)

x = 4 cos (5π/4)

x = -2.83 m

The displacement of the object between the time given;

x = 2.83 m - ( - 2.83 m )

x = 5.66 m

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Answer:

y = -2x

Step-by-step explanation:

since the y-int starts at 0, you would go down 2 (negative) and to the right by 1, 2/1=2

use the equation y=mx+b to find the equation of a graph

m is the slope and b is the y-int

you can also use the method rise/run, where in this case, the rise (down when it’s a negative) is -2 and the run (across) is 1

2 represents the change in y and 1 represents the change in x

when finding the equation of a graph, always check the y-axis for the point then start there. that represents your y-int. then you look for a solid point and see how much units away across and up or down it is from the y-int.

in this case, i went to the point (1, -2).

hope this helps !!

Total surface area of the triangular prism = (Area of base) + (Area of all three rectangular sides)

Surface area is the total area of all exposed surfaces of an object or space. It is the sum of all the areas of the exposed faces of an object, where the size of each exposed face is measured. Surface area is a measure of how much exposed area an object has, and it is a two-dimensional measurement. In three-dimensional objects, the surface area is the sum of the areas of all the exposed faces of the object. It is used in many fields such as mathematics, engineering, and science.
Area of base = 0.5 x side1 x side2 = 0.5 x 4 x 6 = 12 sq.in
Area of each rectangular side = (length x breadth) = (side3 x height) = (3 x 5) = 15 sq.in
Therefore, total surface area of the triangular prism = (12 + 3 x 15) = 57 sq.in
Hence, the measurement closest to the total surface area of the triangular prism in square inches is 57.

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Total surface area of the triangular prism = (Area of base) + (Area of all three rectangular sides) = 57

Surface area is the total area of all exposed surfaces of an object or space. It is the sum of all the areas of the exposed faces of an object, where the size of each exposed face is measured. Surface area is a measure of how much exposed area an object has, and it is a two-dimensional measurement. In three-dimensional objects, the surface area is the sum of the areas of all the exposed faces of the object. It is used in many fields such as mathematics, engineering, and science.

Area of base = 0.5 x side1 x side2 = 0.5 x 4 x 6 = 12 sq.in

Area of each rectangular side = (length x breadth) = (side3 x height) = (3 x 5) = 15 sq.in

Therefore, total surface area of the triangular prism = (12 + 3 x 15) = 57 sq.in

Hence, the measurement closest to the total surface area of the triangular prism in square inches is 57.

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False. In cubic closest packing (CCP) or face-centered cubic (FCC) structure, the unit cell is not body-centered cubic (BCC). The unit cell in CCP/FCC is composed of a cube with lattice points at the corners and an additional lattice point at the center of each face.

The term "cubic closest packing" refers to the arrangement of atoms or spheres in a cubic lattice where the spheres touch each other along their faces.

This arrangement is achieved by stacking layers of spheres in an ABCABC... pattern. Each sphere is in contact with 12 surrounding spheres, resulting in a coordination number of 12.

On the other hand, the body-centered cubic (BCC) structure has a different arrangement. In BCC, the unit cell consists of a cube with lattice points at the corners and an additional lattice point at the center of the cube. Each atom or sphere in BCC is in contact with eight neighboring atoms.

Therefore, the statement that the unit cell in cubic closest packing is body-centered cubic is false. The correct unit cell for cubic closest packing or face-centered cubic packing is the face-centered cubic (FCC) structure.

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Answer:

5(3×+1)

Step-by-step explanation:

Hope this helps!

Here are your answers.

it's made by computer.

- BRAINLIEST answerer

Answer:

z = 6

Step-by-step explanation:

- 2.3z = - 13.8 ( divide both sides by - 2.3 )

z = \(\frac{-13.8}{-2.3}\) = 6

Answer:

answer: b. 16

Step-by-step explanation:

8*4=32

32*0.5=

16

Answer:

lafante

Step-by-step explanation:

Distance in co ordinate units is √27  .

Given,

2+6i and -4+3i in the complex plane

To get distance between these numbers we have to find modulus of their difference:

z = z1 - z2 = (-4 + 3i) - (6i + 2) = -6 -3i

So, distance

d = |(-6 -3i)|

Finding the magnitude of the complex plane obtained ,

= √-6² + (-3i)²

=√27 .

Thus the distance between two complex plane is √27 .

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Answer:

Step-by-step explanation:

Given

When video is posted 5 people watched it

Next day number of viewers doubled

Suppose this trend continues i.e. No of viewers doubled each day

So on 2 nd day no of viewers is \(2\times 5\)

On 3rd day , viewers \(2^2\times 5\)

on n th day , viewers is \(2^{n-1}\times 5\)

So no of viewers in 1 year i.e. on 365 day

\(=2^{365-1}\times 5\)

\(=2^{364}\times 5\)

(ii)Day on which 640 people seen the video

\(2^{n-1}\times 5=640\)

\(2^{n-1}=128\)

\(2^{n-1}=2^7\)

Therefore

\(n-1=7\)

\(n=8\ days\)

The expression which is equivalent to cube root of 216 x superscript 27 is 6 times 3 (6x3).

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

To find the equivalent expression, simplify the given equation with the help of mathematical operations.

The expression given in the problem is,

\(\sqrt[3]{216\times {27}}\)

Let the expression which is equivalent to the above expression is n. Thus,

\(n=\sqrt[3]{216\times {27}}\\n=\sqrt[3]{216}\times \sqrt[3]{27}\\n=\sqrt[3]{6\times6\times6}\times \sqrt[3]{3\times3\times3}\\n=6\times3\)

Thus, the expression which is equivalent to cube root of 216 x superscript 27 is 6 times 3 (6x3).

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Answer:

A

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

if its just asking for what number would represent a loss of 15 it would be negative 15

i dont know if there's more to the problem or not

Answer:

-15

Step-by-step explanation:

This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,

hope this helps!

The probability that it shows an odd number at least 8 but at most 13 times is 0.4353 and probability that it shows an odd number at least 8 but at most 13 times given that it shows an even number at least 7 times is 0.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution.

p = 0.4

n = 18

X is number of times odd number come

y is no of times even number come

a) P(8≤X≤12)

= ¹⁸C₈ (0.4)⁸ (0.6)¹⁰ + ¹⁸C₉ (0.4)⁹ (0.6)⁹ + ¹⁸C₁₀ (0.4)¹⁰ (0.6)⁸ + ¹⁸C₁₁ (0.4)¹¹ (0.6)⁷ + ¹⁸C₁₂ (0.4)¹² (0.6)⁶ + ¹⁸C₁₃ (0.4)¹³ (0.6)⁵

= 0.4353

the probability that it shows an odd number at least 8 but at most 13 times is 0.4353.

b) P(8≤X≤13) : Y ≥ 7

= P(8≤X≤13 , nX≤7) / P(X≤7)

= 0

the probability that it shows an odd number at least 8 but at most 13 times given that it shows an even number at least 7 times is 0.

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Answer:

6

Step-by-step explanation:

270/45=6

Answer:

1 minute = 6 calories burned

Step-by-step explanation:

270 ÷ 45 = 6

Answer:

D

Step-by-step explanation:

The average length encoding of a letter for a Huffman code of the letters and their given frequencies will be 245.

We have,

Frequencies:

a = 0.15 = 15,

b = 0.25 = 25,

c = 0.20 = 20,

d = 0.35 = 35,

e = 0.05 = 5,

So,

Now,

According to the question,

We will make Huffman tree,

i.e.

a = 0.15 = 15,

b + c = 25 + 20 = 45

d + e = 35 + 5 = 40,

Now,

a + b + c + d + e = 100

So,

a = 11 = 2 digits

b = 101 = 3 digits

c= 100 = 3 digits

d= 01 = 2 digits

e= 00 = 2 digits

And,

We know that,

Total bits required to represent Huffman code = 12.

So,

Now,

The average code length = a * 2 digits + b * 3 digits + c * 3 digits + d * 2 digits + e * 2 digits

i.e.

The average code length = 15 × 2 + 25 × 3 + 20 × 3 + 35 × 2 + 5 × 2

On solving we get,

The average code length = 245

Hence we can say that the average length encoding of a letter for a Huffman code of the letters and their given frequencies will be 245.

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Answer:

Negative

Step-by-step explanation:

Positive + Positive= Positive

Negative +Negative= Positive

Positive +Negative Or Negative + Positive= Negative

=========================================================

Explanation:

We can prove this by contradiction.

Let's say

and

A+B = C

We'll show that a contradiction happens based on this.

If A is rational, then A = p/q where p,q are two integers. The q cannot be zero.

If C is rational, then C = r/s for some other integers. We can't have s be zero.

Note the following

A+B = C

B = C - A

B = r/s - p/q

B = qr/qs - ps/qs

B = (qr - ps)/qs

B = (some integer)/(some other integer)

This shows B is rational. But this is where the contradiction happens: We stated earlier that B was irrational. A number cannot be both rational and irrational at the same time. The very definition "irrational" literally means "not rational".

In short, I've shown that if A+B = C such that A,C are rational, then B must be rational as well.

The template is

rational + rational = rational

Therefore, we've shown that if A is rational and B is irrational, then C cannot possibly be rational. C is irrational.

Another template is

rational + irrational = irrational

Shawn's first statement is correct. A trapezoid is a quadrilateral with at least one pair of parallel sides. A rectangle is a quadrilateral with four right angles and opposite sides of equal length. It is not possible to draw a trapezoid that is a rectangle, because the two shapes have different sets of properties.

However, Shawn's second statement is incorrect. A square is a type of rectangle in which all sides are of equal length. So, every square is a rectangle, but not every rectangle is a square. So it is not accurate to say that it is possible to draw a square that is a rectangle, because a square is already a type of rectangle.

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Answer:

10−12

Step-by-step explanation:

Answer:

it is the same as 1350/1

Step-by-step explanation:

so it is being divided by 1, which means it is the same thing.

Answer:

Step-by-step explanation:

1350/1. any whole number you place over 1.

Answer:

80.2

Step-by-step explanation:

Answer:80.2

Step-by-step explanation:

i did the test so yeh edg 2023

Answer: The correct answer is D the range of the graph is all real numbers greater than or equal to 0.

Step-by-step explanation

Range [0,infinity] {y|y greater than or equal to 0}

Answer:

D

Step-by-step explanation:

The Cobb-Douglas utility function satisfies the properties of local non-satiation, decreasing marginal utility for both goods, quasi-concavity, and homotheticity.

The Cobb-Douglas utility function u(x1, x2) = xi^(α) * x2^(β), where α and β are both greater than zero, satisfies the following properties:

(a) Local non-satiation:

This property states that at each point of the consumption set, there is always another bundle that is arbitrarily close and strictly preferred. Thus, the function has local non-satiation.

(b) Decreasing marginal utility for both goods 1 and 2: The marginal utility of a good measures the utility obtained by consuming one more unit of it. The marginal utility of x1 can be obtained as:

MU1 = α * xi^(α−1) * x2^(β)

The marginal utility of x2 can be obtained as:

MU2 = β * xi^(α) * x2^(β−1)

Therefore, both marginal utilities are decreasing in x1 and x2, satisfying this property.

(c) Quasi-concavity:

The Cobb-Douglas function is quasi-concave. This means that the upper contour set of any level set of the function is convex. This can be proved by taking the second partial derivative of the function and checking whether it is negative or not.

(d) Homotheticity:

The Cobb-Douglas function is homothetic. This means that its shape is independent of the total level of utility. The proof can be achieved by checking whether the function is homogeneous of degree one or not. This is true, since multiplying the inputs by any positive scalar λ leads to a proportional increase in the output.

In conclusion, the Cobb-Douglas utility function satisfies all four properties - local non-satiation, decreasing marginal utility for both goods 1 and 2, quasi-concavity, and homotheticity.

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The estimated number of blackberry plants after 4 months is 70.86.

dN/dt = rN(1 - N/K)

where N is the number of blackberry plants, t is time, r is the monthly growth rate (0.9), and K is the carrying capacity of the yard (90 plants).

We can solve this differential equation using separation of variables:

dN/N(1 - N/K) = r dt

Integrating both sides gives:

ln|N/(K-N)| = rt + C

where C is a constant of integration. Solving for N, we get:

N = K/(1 + A e^(-rt))

where A is a constant such that A = (K/N0) - 1, where N0 is the initial number of plants.

r = 0.9 (monthly growth rate)

K = 90 (carrying capacity)

N0 = 9 (initial number of plants)

t = 4 (time in months)

We can first find A:

A = (K/N0) - 1 = (90/9) - 1 = 9 - 1 = 8

Plugging in the values, we get:

N = 90 / (1 + 8 e^(-0.9*4)) = 70.86

Therefore, the estimated number of blackberry plants after 4 months is 70.86.

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Sampling randomly is considered a statistically valid reason for choosing subjects for a study as it reduces the risk of sampling bias. The correct option is a.

Sampling bias refers to a systematic error that occurs in the process of selecting subjects for a study, leading to a sample that is not representative of the population.

By selecting subjects randomly, researchers aim to eliminate any preconceived biases or preferences that may influence the selection process. This leads to a sample that is more representative of the population, providing a more accurate representation of the population's characteristics.

Furthermore, random sampling (with a large sample) has the potential to give a perfect reflection of the population, assuming that the sample size is large enough. This is because, as the sample size increases, the sample becomes more representative of the population and tends to exhibit the same characteristics and distributions as the population.

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The net magnetic field at point P is (6e-5 j + 0.57 k) T in 1, 1, k notation.

We can use the Biot-Savart Law to calculate the magnetic field at point P due to each wire, and then add the two contributions vectorially to obtain the net magnetic field.

The magnetic field due to a current-carrying wire can be calculated using the formula:

d = μ₀/4π * Id × /r³

where d is the magnetic field contribution at a point due to a small element of current Id, is the vector pointing from the element to the point, r is the distance between them, and μ₀ is the permeability of free space.

Let's first consider the wire carrying current I₁ (in the positive X direction). The contribution to the magnetic field at point P from an element d located at position y on the wire is:

d₁ = μ₀/4π * I₁ d × ₁ /r₁³

where ₁ is the vector pointing from the element to P, and r₁ is the distance between them. Since the wire is infinitely long, we can assume that it extends from -∞ to +∞ along the X axis, and integrate over its length to find the total magnetic field at P:

B₁ = ∫d₁ = μ₀/4π * I₁ ∫d × ₁ /r₁³

For the given setup, the integrals simplify as follows:

∫d = I₁ L, where L is the length of the wire per unit length

d × ₁ = L dy (y - 1/2 L) j - x i

r₁ = sqrt(x² + (y - 1/2 L)²)

Substituting these expressions into the integral and evaluating it, we get:

B₁ = μ₀/4π * I₁ L ∫[-∞,+∞] (L dy (y - 1/2 L) j - x i) / (x² + (y - 1/2 L)²)^(3/2)

This integral can be evaluated using the substitution u = y - 1/2 L, which transforms it into a standard form that can be looked up in a table or computed using software. The result is:

B₁ = μ₀ I₁ / 4πd * (j - 2z k)

where d = 5 mm = 5×10^-3 m is the distance between the wires, and z is the coordinate along the Z axis.

Similarly, for the wire carrying current I₂ (in the negative X direction), we have:

B₂ = μ₀ I₂ / 4πd * (-j - 2z k)

Therefore, the net magnetic field at point P is:

B = B₁ + B₂ = μ₀ / 4πd * (I₁ - I₂) j + 2μ₀I₁ / 4πd * z k

Substituting the given values, we obtain:

B = (2×10^-7 Tm/A) / (4π×5×10^-3 m) * (30A - (-30A)) j + 2(2×10^-7 Tm/A) × 30A / (4π×5×10^-3 m) * (15×10^-2 m) k

which simplifies to:

B = (6e-5 j + 0.57 k) T

Therefore, the net magnetic field at point P is (6e-5 j + 0.57 k) T in 1, 1, k notation.

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Answer:

what are the answer choices?

Answer:

5=3 bedmas

Step-by-step explanation:

Using the Z-table, you can find the z-score that corresponds to a cumulative probability of 0.70, which is approximately 0.52. So, the z-score for the 7th decile on the standard normal curve is 0.52.

To find the z-score that corresponds to the 7th decile of the standard normal curve, we first need to determine the cumulative probability up to that point.

The 7th decile represents the point where 70% of the data lies below it and 30% lies above it. Using a standard normal distribution table or calculator, we can find the z-score that corresponds to a cumulative probability of 0.70.

The z-score that corresponds to a cumulative probability of 0.70 is approximately 0.524. Therefore, the z-score that corresponds to the 7th decile of the standard normal curve is 0.524.

To find the z-score corresponding to the 7th decile on the standard normal curve, you'll need to use the cumulative probability distribution function (also known as the Z-table or standard normal table). The 7th decile represents the point where 70% of the data is below it, so you'll be looking for a cumulative probability of 0.70.

Using the Z-table, you can find the z-score that corresponds to a cumulative probability of 0.70, which is approximately 0.52. So, the z-score for the 7th decile on the standard normal curve is 0.52.

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