Write this number in standard form: three hundred and eight tenths.

Answer: 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

\(3\frac{10}{14} +1\frac{2}{7} \\\\=3+1+\frac{10}{14} +\frac{2}{7} \\\\=4+\frac{10}{14}+ \frac{2*2}{2*7} \\\\=4+\frac{10}{14} +\frac{4}{14} \\\\=4+\frac{10+4}{14} \\\\=4+\frac{14}{14} \\\\=4+1\\\\=5\)

The distance from the point (6, 1, -1) to the plane x - 2y + 2z + 1 = 0 is 1 unit.

To find the distance from a point to a plane, we can use the formula for the distance between a point and a plane.

Let's denote the given point as P(6, 1, -1) and the equation of the plane as Ax + By + Cz + D = 0, where A, B, C, and D are the coefficients of the plane equation.

The formula for the distance (d) between a point (x0, y0, z0) and a plane Ax + By + Cz + D = 0 is:

d = |Ax0 + By0 + Cz0 + D| / √(A² + B² + C²)

In this case, the equation of the plane is x - 2y + 2z + 1 = 0, which can be written as 1x - 2y + 2z + 1 = 0.

Comparing coefficients, we have:

A = 1

B = -2

C = 2

D = 1

Substituting the values into the distance formula, we get:

d = |1(6) + (-2)(1) + 2(-1) + 1| / √(1² + (-2)² + 2²)

= |6 - 2 - 2 + 1| / √(1 + 4 + 4)

= |3| / √(9)

= 3 / 3

= 1

Therefore, the distance from the point (6, 1, -1) to the plane x - 2y + 2z + 1 = 0 is 1 unit.

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In order to find the 90% confidence interval for the variance if a study of (9+A) students found the 6.5 years as the standard deviation of their ages, the following steps need to be followed:

Find the Chi-Square values and degrees of freedom.The degrees of freedom (df) = sample size -1 = (9+A) - 1 = 8+A.

The Chi-Square value for the lower 5% point of a Chi-Square distribution with 8+A degrees of freedom is given as: =CHISQ.INV(0.05, 8+A)

The Chi-Square value for the upper 5% point of a Chi-Square distribution with 8+A degrees of freedom is given as: =CHISQ.INV(0.95, 8+A)Step 2: Find the confidence interval.

The 90% confidence interval is given by:

([(9 + A - 1) × (6.5)²] / CHISQ.INV(0.95, 8+A), [(9 + A - 1) × (6.5)²] / CHISQ.INV(0.05, 8+A))

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Solving the question with the help of geometrical progression, we get that the value of this finite series is 31.

A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

As we know the formula for geometric progression is:

aₙ = a₁ r ⁿ⁻¹

Where , a₁ is the first term and r is the ratio , and n is the number of terms.

Here, the ratio is 4/2 = 2

Here, a₅ = 1 . 2⁵ ⁻ ¹ = 2⁴ = 16

a₄ = 1 . 2⁴ ⁻ ¹ = 2³ = 8

Now, We should calculate the value 1 + 2 + 4 + 8 + 16 = 31.

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Answer:

D

Step-by-step explanation:

The vertex is at (-2,4), so substituting into vertex form, only C and D match.

Also, the graph opens down, so the coefficient of x² is negative.

This eliminates C, leaving us with D

Answer:

She drove 12 hours

5+4+3=12

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

because if you try to find the area of a Parallelogram then it would be base times height or BH and the base is 9 and the height is 5 so the area would be 9x5=45

Answer:

$12.80

Step-by-step explanation:

do 16/3 and then that answer times 2.40

Answer: The answer is $12.80 or A

Step-by-step explanation:

First you take $2.40 and divide it by 3 ounces to find out the unit rate. So if you divide 2.4 by 3 you will get the answer 0.8, which tells us that 1 ounce of cinnamon is $0.80 and that our unit rate. So then we take $0.80 and multiply it by 16 to find out how much 1 pound of cinnamon cost because 16 ounces equal 1 pound and to find the cost you multiply by the unit rate. So now we do .8 multiplied by 16 which gives us 12.8 and that means that 1 pound of cinnamon cost $12.80.

(a) \(2 + (2 - 3/r) sin\theta cos\phi = 0\), the equation in spherical coordinates.

(b) 3 sinθ cosφ + 4 sinθ sinφ + 2 cosθ = 1/r, the equation in spherical coordinates.

(a) To write the equation \(2x^2 - 3x + 2y^2 + 2z^2 = 0\)in spherical coordinates, we need to express x, y, and z in terms of spherical coordinates. We have

x = r sinθ cosφ

y = r sinθ sinφ

z = r cosθ

Substituting these expressions into the given equation, we get

\(2(r sin\theta cos\phi)^2 - 3(r sin\theta cos\phi) + 2(r sin\theta sin\phi)^2 + 2(r cos\theta)^2 = 0\)

Simplifying, we get

\(2r^2(sin^2\theta cos^2\phi + sin^2\theta sin^2\phi) + 2r^2 cos^2\theta - 3r sin\theta cos\phi = 0\)

Using the identity \(sin^2\theta + cos^2\theta = 1\), we can simplify this equation further to get

\(2r^2 + (2r^2 - 3r) sin\theta cos\phi = 0\)

Dividing both sides by \(r^2\) and rearranging, we get

\(2 + (2 - 3/r) sin\theta cos\phi = 0\)

This is the equation in spherical coordinates.

(b) To write the equation 3x + 4y + 2z = 1 in spherical coordinates, we again need to express x, y, and z in terms of spherical coordinates. Substituting these expressions into the given equation, we get

3(r sinθ cosφ) + 4(r sinθ sinφ) + 2(r cosθ) = 1

Simplifying, we get

r(3 sinθ cosφ + 4 sinθ sinφ + 2 cosθ) = 1

Dividing both sides by r and rearranging, we get

3 sinθ cosφ + 4 sinθ sinφ + 2 cosθ = 1/r

This is the equation in spherical coordinates.

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The observed frequencies with the expected frequencies and calculate the contribution of each category to the overall Chi-Square value. Therefore, the Chi-Square value (X^2) is 8.

To determine the Chi-Square value, we need to compare the observed frequencies with the expected frequencies and calculate the contribution of each category to the overall Chi-Square value.

Let's calculate the Chi-Square value step by step:

1. Calculate the expected frequencies:

For the AA genotype:

Expected frequency = (Total count) * (Expected proportion)

Expected frequency = 200 * (50/200) = 50

For the Aa genotype:

Expected frequency = (Total count) * (Expected proportion)

Expected frequency = 200 * (100/200) = 100

For the aa genotype:

Expected frequency = (Total count) * (Expected proportion)

Expected frequency = 200 * (50/200) = 50

2. Calculate the contribution of each category to the Chi-Square value:

Chi-Square contribution = (Observed frequency - Expected frequency)^2 / Expected frequency

For the AA genotype:

Contribution = (60 - 50)^2 / 50 = 100 / 50 = 2

For the Aa genotype:

Contribution = (80 - 100)^2 / 100 = 400 / 100 = 4

For the aa genotype:

Contribution = (60 - 50)^2 / 50 = 100 / 50 = 2

3. Calculate the overall Chi-Square value:

Chi-Square value (X^2) = Sum of contributions for all categories

X^2 = 2 + 4 + 2 = 8

Therefore, the Chi-Square value (X^2) is 8.

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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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The slope of the rapid is 0.072.

Slope is a value that describes the steepness and direction of a line. In variable format, it is commonly represented by the letter m. The slope of a line is also called its gradient or rate of change.

The slope formula is the vertical change in y divided by the horizontal change in x, sometimes called rise over run. The slope formula uses two points, (x1, y1) and (x2, y2), to calculate the change in y over the change in x. For linear equations in slope-intercept form, y = mx + b, m indicates the slope of the line.

Slope also indicates the direction of a line. A line with a positive slope, said to be increasing, runs upwards from left to right.

A line with a negative slope, said to be decreasing, runs downwards from left to right.

Slope = vertical drop/horizontal distance

= 65 / 892

= 0.072

Thus, the slope of the rapid is 0.072.

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the perimeter of the equilateral triangle with a side length of 12√3 is 36√3 units.

In order to find the perimeter of the given triangle, we have to find the side of the triangle. The altitude of the triangle  = 18 inches. Let us assume the side of the triangle as a. The formula for calculating the altitude of an equilateral triangle is : Altitude  =√3/2×a  (side)

18 =√3/2 × a

a = 18 × 2√3

a = 36√3

a = 36 ×√3 / √3×√3

a =36√3/3

a = 12√3 inches.

If the side of an equilateral triangle is 12√3, then all three sides of the triangle are of equal length, since it is an equilateral triangle. Therefore, the perimeter of the triangle is simply the sum of the lengths of its three sides. Since each side of the triangle has a length of 12√3, the perimeter is: Perimeter = 3 x (12√3) = 36√3.

Therefore, the perimeter of the equilateral triangle with a side length of 12√3 is 36√3 units.

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Answer:

Step-by-step explanation:

41. The product of 0.25 and 0.4 is 0.100, with three decimal places. Trailing zeros are usually dropped--except when they are used to indicate significant digits in a calculation. Hence, the usual presentation of the result is ...

  0.25 × 0.4 = 0.1

__

42. To find total beats, multiply beats per second by seconds.

  (52 beats/second)(35.5 seconds) = (52)(35.5) beats = 1846 beats

The hummingbird's wings will beat 1846 times in 35.5 seconds.

__

43. To find total sales for the week, multiply the price of a tin of popcorn by the number sold in the week (42).

Answer:

41) 0.25 × 0.4 = 0.1

It has only one decimal place in the product because 0.25 has two significant figures and 0.4 has one significant figure. When multiplying, the product will always match with the number that has the least amount of significant figures. Since 0.4 has one significant figure, the product, 0.1, will also have one significant figure.

42) 35.5 s × 52 times/s = 1,846 times

43) 42 tins × $9.25/tin = $388.50

Hope that helps.

The greatest number of sides that can result from a cross section of a rectangular prism is 6.

To see why, consider a rectangular prism. The prism has 6 faces, which are all rectangles. If we take a cross section of the prism, the section will intersect some of the faces, resulting in a closed shape. The shape will have at most as many sides as the number of sides of the faces that the section intersects.

Since each face of the rectangular prism has 4 sides, the maximum number of sides that can result from a cross section is 4 x 6 = 24. However, this is only possible if the section intersects every face of the prism, which is unlikely to occur in general. In practice, a cross section of a rectangular prism is more likely to intersect just a few of the faces, resulting in a shape with fewer sides. Therefore, the greatest number of sides that can result from a cross section of a rectangular prism is 6, which occurs when the section intersects all 6 faces.

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Answer:

20:10 10 hours

Step-by-step explanation:

10:5 * 2 = 20:10 or 10:5 / 5 : 2:1 * 20 = 20:10

Answer:

Step-by-step explanation:

lets solve the problem 7x+2=3x+10

subtract 3x from 7x

4x+2=10

subtract 2 from 10

4x=8

divide both sides by 4

x=2

to find VU plug in 2 for x so...

3(2)+10

6+10

16

I hope this helped you :)

Step-by-step explanation:

7x + 2 = 3x + 10

7x - 3x + 2 = 3x - 3x + 10

4x + 2 = 10

4x + 2 - 2 = 10 - 2

4x = 8

4x ÷ 4 = 8 ÷ 4

x = 2

VU = 3x + 10

VU = 3(2) + 10

VU = 6 + 10

VU = 16

The principal stresses for this stress state are σ_1 = 47.5 MPa and σ_2 = 24.5 MPa, and the magnitude of the maximum in-plane shear stress is |Tmax| = 8 MPa.

To determine the principal stresses and maximum in-plane shear stress for this stress state represented by Mohr's circle, we can use the following equations:

The center of the circle (C, 0) represents the mean stress (σ_avg):
σ_avg = C

Outer edge point A (Ax, Ay) represents the maximum and minimum stresses (σ_max and σ_min):
σ_max = Ax
σ_min = Ay

Principal stresses can be calculated as:
σ_1 = σ_avg + (σ_max - σ_avg)/2
σ_2 = σ_avg - (σ_max - σ_avg)/2

Substituting the given values, we get:
σ_avg = C = 36 MPa
σ_max = Ax = 59 MPa
σ_min = Ay = 43 MPa

σ_1 = 36 + (59-36)/2 = 47.5 MPa
σ_2 = 36 - (59-36)/2 = 24.5 MPa

The magnitude of the maximum in-plane shear stress can be calculated as:
|Tmax| = (σ_max - σ_min)/2
|Tmax| = (59-43)/2 = 8 MPa

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A shooter has a 27.92% chance of hitting the target at least 13 times.

This probability mass function in this type of binomial distribution is the quantity of successes ("x").

P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ

The required number of wins is five since we are concerned with the likelihood that target will be hit exactly five times.(i.e., x = 13).

P(X = 13) =  ¹⁵C₁₃. (0.89)¹³ (0.11)²

P(X = 13) = 0.2792

P(X = 13) = 27.92%

Therefore, there is a 27.92% chance that a shooter will hit its target at the very most 13 times.

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ANSWER

480 cm^2

Step-by-step explanation:

divide it into 3 blocks

Answer:

Step-by-step explanation:

mean:8x

median: 4x and 6x

mode: 3x

Answer:

$18.36

Step-by-step explanation:

In this question, we have to find the cost of the cake for the customer who orders a month early.

We know that the original price of the cake is $30.

We also know that there was a 28% discount and a 15% discount added to the purchase.

Remember, You don't add discount percentages together, you discount the prices separately.

Solve:

First, apply the 28% discount.

30 · 0.28 = 8.40

30 - 8.40 = 21.60

Now apply the 15% discount to the new price.

21.60 · 0.15 = 3.24

21.60 - 3.24 = $18.36

They needed to pay $18.36 for the cake.

Answer:

An improper fraction

Step-by-step explanation:

In improper fraction is when the numerator (top number) is greater than or equal to the denominator (bottom number)

Answer:

Answer:

\(4\frac{8}9}\)

Step-by-step explanation:

We can do this mathematically.

\(5-\frac{2}{18} = \frac{90}{18} - \frac{2}{18} = \frac{88}{18} = \frac{44}{9} = 4\frac{8}{9} \\\)

We can also work this logically.

We know that \(\frac{2}{18}\) is less than 1, so our answer should be (5-1) and a fraction.

Our answer should be 4 plus a fraction less than 1. To find what we need to add to \(\frac{2}{18}\) to make 1, we ask ourself how many eighteenths make 1. So if we need to 18 parts and we have 2 already, we add 16 eighteens to make 1. The answer is \(4 \frac{16}{18}\), or simplified, \(4\frac{8}9}\).

Answer:

well we know that top and botton are 12 and the sides are 5. there are 4 sides soo thats 4 times 5. so basically its 12x12x5x5x5x5 whick is 90000.

Step-by-step explanation:

sorry for the wait!

hope this helps!

please mark brainliest!

have a good day!

:) ;)

(if this is wrong im so sorry, i tried .;(

The WACC for Company A is approximately 0.564 or 56.4%.

To calculate the weighted average cost of capital (WACC) for Company A, we need to consider the cost of debt and the cost of equity, weighted by their respective proportions in the company's capital structure.

Given information:

Debt proportion (D/V) = 26%

Equity proportion (E/V) = 100% - 26% = 74%

Before-tax cost of debt (r_d) = 3.2%

Risk-free rate (r_f) = 1.1%

Market risk premium (RPM) = 6%

Beta (β) = 0.9

Marginal tax rate (T) = 30%

The formula to calculate WACC is as follows:

WACC = (D/V) * r_d * (1 - T) + (E/V) * r_e

To calculate the cost of equity (r_e), we can use the Capital Asset Pricing Model (CAPM):

r_e = r_f + β * RPM

Plugging in the given values:

r_e = 1.1% + 0.9 * 6% = 1.1% + 5.4% = 6.5%

Now, let's calculate WACC:

WACC = (0.26) * 3.2% * (1 - 0.30) + (0.74) * 6.5%

WACC = 0.0832 + 0.481

WACC ≈ 0.5642

Rounding to three decimal places, the WACC for Company A is approximately 0.564 or 56.4%.

Please note that the WACC represents the average rate of return required by both debt and equity investors to finance the company.

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The equation of the tangent line to the function f(x) = x²e²x at x = 1 is y = 4e²x - 3e².

To find the equation of the tangent line to the function f(x) = x²e²x at x = 1, we need to find the derivative of the function at that point and use it to determine the slope of the tangent line.

Step 1: Find the derivative of f(x)

f(x) = x²e²x

Using the product rule:

f'(x) = (2x)(e²x) + (x²)(d/dx[e²x])

Now, we need to find the derivative of e²x using the chain rule:

d/dx[e²x] = e²x * d/dx[2x]

f'(x) = 2xe²x + x²(2e²x)

Step 2: Evaluate the derivative at x = 1

f'(1) = 2(1)e²(1) + (1)²(2e²(1))

= 2e² + 2e²

= 4e²

So, the slope of the tangent line at x = 1 is 4e².

Step 3: Determine the equation of the tangent line

We know that the equation of a line can be expressed as y = mx + b, where m is the slope and b is the y-intercept. Since we want the equation of the tangent line at x = 1, we substitute the coordinates (1, f(1)) into the equation.

At x = 1, f(1) = 1²e²(1) = e²

The equation of the tangent line becomes:

y - e² = 4e²(x - 1)

To simplify, we can expand and rearrange:

y - e² = 4e²x - 4e²

y = 4e²x - 3e²

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