a(x)=7x+2 f(x)=10x+10 find a(x)+f(x)

A planted seed has a 85% chance of growing into a healthy plant. The probability that exactly 4 out of 11 seeds don't grow is approximately 0.1302.

To calculate this probability, we can use the binomial distribution formula. In this case, each seed has a 15% chance of not growing (1 - 0.85). We want to find the probability that exactly 4 seeds out of 11 don't grow.

Using the binomial distribution formula, the probability can be calculated as:

\(P(X = 4) = (^{11}C_4) * (0.15)^4 * (0.85)^7\)

Where (\(^{11}C_4\)) represents the number of ways to choose 4 seeds out of 11, \((0.15)^4\)represents the probability of 4 seeds not growing, and\((0.85)^7\) represents the probability of the remaining 7 seeds growing.

Evaluating the formula, we find:

\(P(X = 4) = (11! / (4! * 7!)) \times(0.15)^4 \times (0.85)^7 \approx 0.1302\)

Therefore, the probability that exactly 4 out of 11 seeds don't grow is approximately 0.1302, or 13.02%.

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Answer:

y=2

Step-by-step explanation:

Hey there!

The answer is y=2 because the x-axis is not defined (there's no value for it as the line didn't pass through it)

(a) Using the product rule, we have:

∂z/∂x = f'(x)g(y)

∂z/∂y = f(x)g'(y)

(b) Using the chain rule, we have:

∂z/∂x = f'(xy)y

∂z/∂y = f'(xy)x

(c) Using the quotient rule, we have:

∂z/∂x = f'(x/y) * (1/y)

∂z/∂y = -f(x/y) * (x/y^2)

Product rule in calculus is a method to find the derivative or differentiation of a function given in the form of the product of two differentiable functions. That means, we can apply the product rule, or the Leibniz rule, to find the derivative of a function of the form given as: f(x)·g(x), such that both f(x) and g(x) are differentiable. The product rule follows the concept of limits and derivatives in differentiation directly. Let us understand the product rule formula, its proof using solved examples in detail in the following sections.

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The segment BD measures 21 m.

Given that a circle O,

Segment AB = Segment CD (Chord subtended by equal arcs)

∠APB ≅ ∠CPD (vertical angles theorem)

∠BAC = ∠CDB (angles subtended by same chord)

ΔAPB ≅ ΔCPD by Side-Angle-Angle SAA similarity postulate

AP ≅ DP by CPCTC

PB ≅ PB by CPCTC

Therefore;

AP = DP = 9 m by definition of congruency

PB = PC = 12 m by definition of congruency

BD = PC + DP by segment addition property

Therefore;

BD = 9 m + 12 m = 21 m

Hence the segment BD measures 21 m.

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Answer:

Step-by-step explanation:

the answer is 80

The formula is C=2(3.14)r

So we plug in the radius and multiply.

C=2(3.14)(5)

C=6.28x5

C=31.4

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hope it helps

Joe's capital loss is $1,392.

Rounding to the nearest percent, we get that Joe's capital loss was 32%.

Capital loss is the difference between the purchase price and the selling price of an asset when the selling price is lower than the purchase price. It represents the loss incurred by the investor or trader due to the decrease in the value of the asset. Capital loss can be realized or unrealized.

a. Joe's capital loss is the difference between the selling price and the purchase price of the shares.

Purchase price = 200 shares * $22.07 per share = $4,414

Selling price = 200 shares * $15.11 per share = $3,022

Capital loss = Purchase price - Selling price

Capital loss = $4,414 - $3,022

Capital loss = $1,392

Therefore, Joe's capital loss is $1,392.

b. To express Joe's capital loss as a percent, we need to divide the capital loss by the purchase price and then multiply by 100.

Capital loss percent = (Capital loss / Purchase price) * 100

Capital loss percent = ($1,392 / $4,414) * 100

Capital loss percent = 31.51%

Rounding to the nearest percent, we get that Joe's capital loss was 32%.

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Answer:

1. 279,936

2. 727

4. 4,096

Answer:

Number common to both sides=6

Step-by-step explanation:

Average of first four numbers=5

4*5=20

Average of the last four numbers=8

4*8=32

Average of all seven numbers=6 4/7

7*6 4/7

Find the number common to both sets of four numbers

Solution

4*5=20

4*8=32

32+20=52

7 * 6 4/7

=7*46/7

=46

Number common to both sides=52-46

=6

Answer:

86% or a difference of 743/3

Step-by-step explanation:

The equation for a volume of a sphere is 4/3pi r^3 where r is the radius. Plugging in, we get 288pi for a radius of 6, and 121/3pi for a radius of 5.5. The ratio would be 288:121/3 without pi. Subtracting these two values we get 743/3 which is in simplest terms. As for the decrease in percentage, calculating the percentage of decrease would be the original value subtracted by the new value divided by the original value. This means 288 -121/3 is 743/3, and this divided by 288 is approximately 0.86. This means the percentage decrease is approximately 86% rounded to the nearest hundredths.

You can ride in many places, so be sure to look for hazards that could cause injury or other risks while bicycling.

The number of miles you can cycle in a single day is unlimited. It depends on your level of fitness, your exercise regimen, and the distance you cycle. Starting out, 10 kilometres per day is OK.

If you're an experienced cyclist who can pedal 25–30 miles every day, 45 miles is a realistic limit.  You can ride a certain bike trail. By riding a bike to work, you can get in shape. If you've never rode a bike before, start out slowly. If you ride your bike for at least three miles every day, you might be able to travel further.

You may be able to make the most of your speed sensor’s accuracy, depending on how accurate it is. You need to know exactly how much effort you put in during your rides.

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Answer:

The square root of 2 is 1.41421

Answer:

The square root of 2 is 1.414

Answer:

30 = 140 M&M's I 40 = 120 M&M's I 50 = 100 M&M's

Step-by-step explanation:

The quadratic equations of the given equations are 6(2x + 4)² = (2x + 4) + 2 and 8x⁴ + 2x² – 4x = 0.

Now, let's look at the given equations and determine which ones are quadratic in form.

The third equation, 6(2x + 4)² = (2x + 4) + 2, is quadratic in form because it can be simplified to the form ax² + bx + c = 0.

Specifically, we can expand the left side of the equation using the formula (a + b)² = a² + 2ab + b², which gives us 24x² + 96x + 96 = 2x + 6.

Rearranging terms, we get 24x² + 94x + 90 = 0, which is in the standard quadratic form ax² + bx + c = 0.

The fifth equation, 8x⁴ + 2x² – 4x = 0, is quadratic in form because it can be simplified to the form ax² + bx + c = 0.

Specifically, we can factor out x to get x(8x³ + 2x – 4) = 0. The expression inside the parentheses is a cubic polynomial, but we can use the quadratic formula to solve for x if we set 8x³ + 2x – 4 = 0.

Rearranging terms, we get 4x² + 1/4 = (x/2)² + 1/16, so the quadratic formula gives us x = (-1 ± √15i)/8.

In summary, out of the five given equations, only the third and fifth equations are quadratic in form.

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Gerry's beginning basis in the S corporation is $20,545.

To calculate Gerry's beginning basis in the S corporation, we need to consider the cost of the assets transferred and the additional expenses incurred for the conversion.

The cost of the assets transferred is given as $19,570. This represents the original cost of the assets when Gerry acquired them.

The adjusted basis of the assets is stated as $9,600. The adjusted basis takes into account any adjustments made to the original cost, such as depreciation or other deductions.

To calculate the beginning basis in the S corporation, we add the cost of the assets transferred ($19,570) to the adjusted basis ($9,600). This gives us a total of $29,170.

In addition to the assets, Gerry incurred an additional expense of $975 for the conversion to an S corporation. We include this amount in the calculation of the beginning basis.

Therefore, Gerry's beginning basis in the S corporation is $29,170 + $975 = $20,545.

This beginning basis is important for determining Gerry's tax consequences and future deductions within the S corporation structure.

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Answer:

9/50

Step-by-step explanation:

18% = 18/100

GCF of 18 and 100 = 2

(18 ÷ 2)/(100 ÷ 2)

9/(100 ÷ 2)

9/50

The volume of the cylindrical fish tank is given by the equation

V = 282.74 inches³

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be represented as V

Now , the radius of the cylindrical fish tank r = 3 inches

The height of the cylindrical fish tank h = 10 inches

The volume of fish tank = πr²h

Substituting the values in the equation , we get

Volume of Cylindrical fish tank V = π x ( 3 )² x 10

On simplifying the equation , we get

Volume of Cylindrical fish tank V = 90π inches ³

Volume of Cylindrical fish tank V = 282.74 inches³

Therefore , the value of V is 282.74 inches³

Hence , the volume of cylindrical fish tank is 282.74 inches³

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Answer:

1.6

Step-by-step explanation:

12.8/8 = 1.6

15.2/9.5 = 1.6

Scale factor = 1.6

Steps to solve:

7x - 6 = 5x + 18

~Add 6 to both sides

7x = 5x + 24

~Subtract 5x to both sides

2x = 24

~Divide 2 to both sides

x = 12

Best of Luck!

Answer:

70

Step-by-step explanation:

60 + 65 + x = 180

x + 125 = 180

x = 55

55 + 50 + y = 180

y + 105 = 180

y = 75

75 + 35 + ? = 180

? + 110 = 180

? = 70

The value of the PU in the given triangle is 19.

The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together. A line connecting a side's midpoint and the triangle's opposite vertex is called the median.

Given,

'p' is the centroid of triangle XYZ and XU is 57.

Since p is the centroid the 'U', 'V', and 'W' are the mid pint of side'YZ', 'XZ', and 'XY'

from the centroid Theorem, we can write;

XP = 2/3 * XU

plug the values 'XU' in the above equation:

XP = 2/3 *57

XP = 2*19

XP = 38

from figure:

XP + PU = XU

PU = XU - XP

Plug 'XU' and 'XP'

PU = 57 -38

PU = 19

therefore, the PU of the given triangle is 19 units.

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Complete question:

Answer:

its d on edge

Step-by-step explanation:

legit just took quiz add me brainlest please

Answer:

Explanation:

Let R be a relation from A to B. Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.

Hope this helps...

Good luck on your assignment..

Since you have basic knowledge of computer hardware, an action which you should take as an ethical employee include the following: A. Initiate help by offering to check the computer.

A computer hardware can be defined as a physical component of a computer system or an information technology (IT) that can be seen, touched and replaced.

In Computer technology, there are various examples of a computer hardware and these include the following:

Based on ethical principles, we can reasonably infer and logically conclude that an ethical employee should initiate help by offering to help check the colleague’s computer since he or she has basic knowledge of computer hardware.

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For the given two vectors the results are:

a) A + B = -i^ + 6j^

b) A - B = 9i^

c) A · B = -15

d) A × B = Calculations not provided

e) A · (A × B) = Not calculable without A × B

Let's calculate the requested values using the given vectors:

A = 4i^ + 3j^ - 2k^

B = -5i^ + 3j^ + 2k^

a) A + B:

Adding the corresponding components, we get:

A + B = (4i^ + 3j^ - 2k^) + (-5i^ + 3j^ + 2k^)

= 4i^ + (-5i^) + 3j^ + 3j^ - 2k^ + 2k^

= -i^ + 6j^

Therefore, A + B = -i^ + 6j^.

b) A - B:

Subtracting the corresponding components, we get:

A - B = (4i^ + 3j^ - 2k^) - (-5i^ + 3j^ + 2k^)

= 4i^ - (-5i^) + 3j^ - 3j^ - 2k^ - 2k^

= 9i^

Therefore, A - B = 9i^.

c) A · B (dot product):

The dot product is calculated by multiplying the corresponding components and summing them:

A · B = (4)(-5) + (3)(3) + (-2)(2)

Calculating the values:

A · B = -20 + 9 - 4

= -15

Therefore, A · B = -15.

d) A × B (cross product):

The cross product is calculated using the determinant method. The cross product is only defined for three-dimensional vectors, so we'll omit the calculations here since the vectors A and B are in three dimensions.

e) A · (A × B):

To calculate A × B, we need the cross product of vectors A and B. Once we have the cross product, we can calculate the dot product with A.

Since we haven't calculated the cross product A × B, we cannot proceed to find A · (A × B) at this point.

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The expected number of attempts to take out individual socks before a matching pair is found is 3. So, on average, we would need to draw out three socks from the drawer to get a matching pair.

To find the expected number of attempts, we consider the process of drawing socks from the drawer.

First, we draw a sock from the drawer, and let the color be either red or blue.

Now, we draw a second sock. There are three possible cases:

1. If the color of the second sock matches the color of the first sock, then we have a matching pair and we are done. We needed only two draws to accomplish the task.

2. If the color of the second sock is different from the first sock, then we return both socks to the drawer and start over. In this case, we essentially reset the process and go back to step one.

3. If the color of the second sock is different from the first sock, then we return only the second sock to the drawer and try again. In this case, we continue from the first sock in the next attempt.

We can see that the first and the third cases are equivalent since, in both cases, we return only one sock to the drawer and try again.

Since the probability of picking any color is 1/2, the probability of getting the same color is 1/2, and the probability of getting a different color is also 1/2.

Let the expected number of attempts required to obtain a matching pair be denoted by E. Considering the second and third cases, we can express the expected number of attempts as follows:

E = (1/2) * (1 + (E + 1)) + (1/2) * (1 + E)

In the first term, we have (1/2) as the probability of getting a different color, followed by 1 attempt (failure), and then (E + 1) as the expected number of attempts from that point onwards.

In the second term, we have (1/2) as the probability of getting a different color, followed by 1 attempt (failure), and then E as the expected number of attempts from that point onwards.

Simplifying the equation, we get:

E = (1/2) * 1 + (1/2) * (1 + E + 1)

E = 3/2 + E/2

E = 3

Therefore, the expected number of attempts to take out individual socks before a matching pair is found is 3. So, on average, we would need to draw out three socks from the drawer to get a matching pair.

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Answer:

Step-by-step explanation:

The equations of the asymptotes of the hyperbola are y = -8/3(x+9) - 2 and y = 8/3(x+9) - 2.

To find the equations of the asymptotes of the given hyperbola, we need to analyze its standard form equation: \(((x+9)^(2))/(9) - ((y+2)^(2))/(64) = 1.\)

In this form, we can observe that the x-term is positive and the y-term is negative, indicating that the hyperbola is centered at the point (-9, -2). The values 9 and 64 under the x-term and y-term respectively are the squares of the distance from the center to the vertices. The square root of these values, 3 and 8, respectively, give us the distance from the center to the vertices along the x-axis and y-axis.

Since the x-term is positive, the asymptotes will have slopes equal to ±(b/a), where b is the distance from the center to the vertices along the y-axis (8), and a is the distance from the center to the vertices along the x-axis (3). Thus, the slopes of the asymptotes will be ±(8/3).

Using the point-slope form of a linear equation, we can write the equations of the asymptotes as y = mx + c, where m is the slope and c is the y-intercept. Since the asymptotes pass through the center of the hyperbola (-9, -2), the y-intercept (c) of both asymptotes will be -2.

Therefore, the equations of the asymptotes are y = -8/3(x+9) - 2 and y = 8/3(x+9) - 2.

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