Write the amount in standard scientific notation.
3.65E-2 millimeters

No, it is not. The sum of the angles in a triangle in spherical geometry is greater than 180°.

In Euclidean geometry, the sum of the angles in a triangle is 180°. This is due to the fact that the sum of the angles in any Euclidean triangle, regardless of size, is always the same - 180°. However, in spherical geometry, the sum of the angles in a triangle is greater than 180°. This is because the sides of a triangle on a sphere are always curved, thus increasing the total angle sum. This is known as the "excess angle" and can be calculated by subtracting 180° from the total angle sum. This excess angle is caused by the fact that the sum of the angles in a triangle on a sphere is always greater than 180°.

The calculation for the excess angle in a spherical triangle is as follows: Excess Angle = (Total Angle Sum) - 180°. For example, if the total angle sum of a spherical triangle is 300°, then the excess angle would be calculated as 300° - 180° = 120°.

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We should allocate the workers as follows: {HLH,LHL} {HLL,LHH} {HHH,LLL} to get the maximum output.

The O-ring model states that production output depends on the quality of each worker. The quality of the final product is determined by the lowest quality worker working on the project.

In the given case, we have two types of workers: H-type and L-type.

The H-type workers have a quality of q=0.6, and the L-type workers have a quality of q=0.4.

We are to determine how to allocate the workers to get the maximum output.

The answer is all of the above.{HLH,LHL} {HLL,LHH} {HHH,LLL} is the allocation we need to get maximum output.

Here's how we arrive at the solution:

For the O-ring model, we need to group the workers in a way that minimizes the number of low-quality workers in a group.

We can have two possible groupings as follows:

{HLH,LHL} - This group has a minimum q of 0.4, which is the quality of the L-type worker in the middle of the group.

{HLL,LHH} - This group also has a minimum q of 0.4, which is the quality of the L-type worker on the left of the group.

The other grouping, {HHH,LLL}, has all low-quality workers in one group and all high-quality workers in another group. This is not ideal for the O-ring model as the low-quality workers will negatively affect the output of the high-quality workers.

Thus, to get the maximum output, we should allocate the workers as follows:

{HLH,LHL} {HLL,LHH} {HHH,LLL} all of the above

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The total cost of the apples would be $3.50 given that Tina and her friend picked 2.5 pounds of apples. So, the apples would cost $3.50.

The cost of the apples can be calculated by multiplying the weight of the apples by the cost per pound.

In this case, Tina and her friend picked 2.5 pounds of apples.

To find the cost, we need to multiply the weight (2.5 pounds) by the cost per pound ($1.40).

Therefore, the total cost of the apples would be 2.5 pounds * $1.40/pound = $3.50.

So, the apples would cost $3.50.

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The sum of 5x and x as given in the question is 6x

Given the following expression

5x + x

We are to take the sum and this is given as:

5x + x  = (x+x+x+x+x) + x

5x + x = 6x

Hence the sum of 5x and x as given in the question is 6x

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The value of I, the interest, is $392.

The simple interest formula is given by I = P * R * T, where I represents the interest, P is the principal amount, R is the interest rate, and T is the time in years. Given the values P = $800, R = 7% (expressed as a decimal, 0.07), and T = 7, we can calculate the interest I.

Using the formula, we have I = 800 * 0.07 * 7 = $392.

Therefore, the value of I, the interest, is $392.

In this case, the principal amount is $800, the interest rate is 7%, and the time period is 7 years. By substituting these values into the simple interest formula, I = P * R * T, we can calculate the interest earned. Multiplying the principal amount ($800) by the interest rate expressed as a decimal (0.07), and then multiplying the result by the time period (7 years), we find that the interest earned is $392. This means that over a period of 7 years, with an $800 principal and a 7% interest rate, the interest accrued amounts to $392. Simple interest is a basic calculation used to determine the interest earned or paid on a loan or investment over a specified time period, assuming no compounding occurs.

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Answer: D.

Step-by-step explanation:

You can start out with the form AX = B and solve for matrix X that would yield the answer

Then X = (A^-1)(B)

A = [1    -1]

      [1     1]

A^-1 = (1/(1 - (1)(-1)))*[1    1]

                             [-1   1]

which can be written as (1/2) * [1    1]

                                                  [-1   1]

B = [26]

     [6]

(A^-1)(B) = (1/2)*[1    1] [6]

                        [-1   1] [26]

= (1/2)*[32]

          [20]

= [16]

  [10]

The task described involves the use of selective attention.

The task described, where Fred is asked to keep his eyes fixed on a cross in the middle of the screen and press a button when a word appears in place of the cross, requires the utilization of selective attention. Selective attention refers to the cognitive process of focusing on specific stimuli while ignoring others. In this case, Fred needs to selectively attend to the appearance of a word while disregarding other visual stimuli on the screen.

Selective attention allows individuals to filter and prioritize relevant information from the environment while minimizing distractions. By keeping his eyes fixed on the cross and waiting for the appearance of a word, Fred is engaging in a form of visual selective attention. This task requires him to direct his attention to a specific location on the screen and monitor it for the presence of the target stimulus (the word).

Selective attention plays a crucial role in everyday tasks, as it helps individuals allocate their cognitive resources efficiently. By focusing on relevant stimuli and filtering out distractions, selective attention enables individuals to process information more effectively and respond appropriately to specific cues or events.

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The expression (f+g)(-5) simplifies to 29.

To find the expression (f+g)(-5), we need to first evaluate f(-5) and g(-5), and then add the results together.

Given that f(x) = x + 4 and g(x) = x^2 - x, we can evaluate f(-5) and g(-5) as follows:

f(-5) = (-5) + 4 = -1

g(-5) = (-5)^2 - (-5) = 25 + 5 = 30

Now, we can add f(-5) and g(-5) together:

(f+g)(-5) = (-1) + (30) = 29

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Answer:

y = 2

because when you transpose -12 it changes the sign it become positive

The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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Eight less than a number, n

This means 8 is less than the number n. Therefore,

Is at least 10 .

This means

the rectangular coordinates corresponding to the polar coordinates (5, π/6) are approximately (4.33, 2.5).

To convert polar coordinates to rectangular coordinates, you can use the following formulas:

Given polar coordinates (r, θ), where r represents the distance from the origin (or pole) to the point, and θ represents the angle between the positive x-axis and the line connecting the origin to the point:

Rectangular coordinate x = r * cos(θ)

Rectangular coordinate y = r * sin(θ)

Here's a step-by-step process for converting polar coordinates to rectangular coordinates:

1. Identify the given polar coordinates (r, θ).

2. Use the formula x = r * cos(θ) to calculate the rectangular coordinate x.

3. Use the formula y = r * sin(θ) to calculate the rectangular coordinate y.

4. The rectangular coordinates (x, y) represent the equivalent representation of the given polar coordinates.

For example, let's say we have polar coordinates (r, θ) = (5, π/6). To convert these to rectangular coordinates:

x = 5 * cos(π/6) = 5 * (√3/2) = 5√3/2 ≈ 4.33

y = 5 * sin(π/6) = 5 * (1/2) = 5/2 = 2.5

So, the rectangular coordinates corresponding to the polar coordinates (5, π/6) are approximately (4.33, 2.5).

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Answer:

y ≤ (-2)x+2

y < (1/3)x + 2

Step-by-step explanation:

First, we'll want to figure out the lines that are intersecting.

To find the equation of a line given two points (of form y=mx+b), we can first find the slope (m). This is equal to (y₂-y₁)/(x₂-x₁) for points (x₁,y₁) and (x₂,y₂). Then, we can plug a point in and solve for b.

For the line that has points at (1,0) and (2, -2), our slope is

(y₂-y₁)/(x₂-x₁) = (-2-0)/(2-1)

= (-2)/1

= -2

Our equation is therefore y= (-3/2)x+b. Plugging a point like (2,-2) in, we get

-2 = (-2)(2) + b

-2 = -4 + b

add 4 to both sides to isolate b

b =2

Our equation is thus y = (-2)x+2

For the other line, with points at (-3,1) and (0,2), our slope is (2-1)/(0-(-3)) = 1/3

Then, our equation is y=(1/3)x+b

plug (-3,1) in

1 = (1/3)(-3) + b

1 = -1 + b

add 1 to both sides to isolate the b

b =2

Our equation is thus y=(1/3)x + 2

Our equations are y=(1/3)x + 2 and y = (-2)x+2. In the graph shown, the shaded area is under both the lines (it is also to the left of them, not to the right or on top). Therefore, we can say that the shaded area is less than the line.

For y = (-2)x+2, the line is not dotted, so the line is included in the region. This means that our inequality is y ≤ (-2)x+2 (note the ≤ rather than simply the < sign)

For y=(1/3)x + 2, the line is dotted, so it is not included in the region. This means that our inequality is y < (1/3)x + 2

Let assume the probability of the three events as P(A), P(B), and P(C), respectively. Then:

(a) The probability that at least one of the three events occurs is given by:

P (A or B or C) = 1 - P (not A and not B and not C) = 1 - P (not A) * P (not B) * P (not C)

where P (not A) is the complement of P (A), and similarly for P (not B) and P (not C).

(b) The probability that exactly one of the three events occurs can be calculated by adding the probabilities of each event occurring individually and then subtracting the probability that two events occur simultaneously.

P (exactly one) = P(A) + P(B) + P(C) - 2 * P (A and B) - 2 * P (A and C) - 2 * P(B and C) + 3 * P (A and B and C)

Note that the above formulas assume that the events are mutually exclusive and exhaustive, meaning that one and only one of the events must occur and the sum of the probabilities of the individual events is equal to 1.

If this is not the case, the probabilities need to be adjusted accordingly.

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Multiply the number of chairs by the price of the chair:

34 x 205 = 6,970

Total spent = $6,970

Using the information provided in the table, The total holding cost is  $547.50, the total setup cost is $600 and the total cost is  $1,147.50.

To develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.

The missing values can be found on the attached table.

From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.

Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.

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This is the equation of the line tangent to the curve x⁶ + 2xy + y³ = 4 at the point (1, 1).

To find the equation of the tangent line to the curve defined by x⁶ + 2xy + y³ = 4 at the point (1, 1), we first need to find the derivative dy/dx using implicit differentiation.

Differentiate both sides of the equation with respect to x:
6x⁵ + 2y(dx/dy) + 2x(dy/dx) + 3y²(dy/dx) = 0

Now, solve for dy/dx:
dy/dx × (2x + 3y²) = -6x⁵ - 2y(dx/dy)
dy/dx = (-6x⁵ - 2y(dx/dy)) / (2x + 3y²)

Since we want to find the tangent line at the point (1, 1), plug in x = 1 and y = 1:
dy/dx = (-6(1)⁵ - 2(1)(dx/dy)) / (2(1) + 3(1)²)
dy/dx = (-6 - 2(dx/dy)) / 5

Now, we can solve for dx/dy and find the slope of the tangent line:
dy/dx = (-6 - 2(dx/dy)) / 5
5(dy/dx) = -6 - 2(dx/dy)
(dy/dx) - 2/5(dx/dy) = -6/5

At the point (1, 1), the tangent line has a slope of dy/dx. Therefore, using the point-slope form of a linear equation, the equation of the tangent line is:
y - 1 = (dy/dx)(x - 1)

Substitute dy/dx with the expression we found earlier:
y - 1 = (-6/5 - 2/5(dx/dy))(x - 1)

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Answer:

They are the same

Step-by-step explanation:

A to B is 3cm = S to T is 3cm

B to C is 4.5 cm = T to U is 4.5 cm

A to C is 110 degrees = U to S is 110 degrees

you can also just rotate the STU to make ABC

Answer:

15.08 m

Step-by-step explanation:

The angle XZW :

XZW + 108° = 180°

XZW = 180° - 108°

XZW = 72°

Length of an arc = θ / 360 * πd

d = diameter = XV = 24

Length of arc XW = (72/360) * π * 24

Length of arc XW = 15.0796

Length of XW = 15.08 m

Answer:

15.08

Step-by-step explanation:

Answer:

56.842 km/hr

0.947 km / min

15.789 m/s

Step-by-step explanation:

speed = distance / time

let's assume your teacher wants it in km/ hr

28.5 minutes = ? hours

60 minutes = 1 hour

we can multiply both sides of 60 minutes = 1 hour by 28.5/60 to get 28.5 minutes = 28.5/60 hours

distance = 27 km

27 km / (28.5/60) hours = 56.842 km/hr

in km / minute

27 km / 28.5 minutes = 0.947 km / min

in meters/second:

1 minute = 60 seconds

28.5 minutes = ? seconds

we can multiply both sides of the first equation by 28.5 to get

28.5 minutes = 1710 seconds

27 km = ? meters

1 km = 1000 meters

we can multiply both sides of the second equation by 27 to get

27km = 27000 meters

27000 meters / 1710 seconds = 15.789 m/s

We do not have enough evidence to conclude that the proportion of students being bullied at school has decreased at a 5% level of significance.

Hypothesis testing is a statistical method used to determine whether a hypothesis about a population parameter is supported by the data. In this case, the hypothesis is that the proportion of students being bullied at school has decreased.

The one-sample proportion test is a type of hypothesis test used to determine whether a proportion in a sample is significantly different from a known population proportion.

In this case, we are testing whether the proportion of students who reported being bullied in the sample of 75 sixth grade students is significantly different from the population proportion of 43%.

To test whether the proportion of students being bullied at school has decreased, we can use a hypothesis test with the null hypothesis that the proportion is still 0.43 and the alternative hypothesis that the proportion is less than 0.43.

Let p be the true proportion of students being bullied at school, then we have:

H₀ : p = 0.43

Hₐ : p < 0.43 (one-tailed test)

Using the sample data, we can calculate the sample proportion of students who reported being bullied at school:

=> \(\hat{p}\) = 30/75 = 0.4

We can use this to calculate the test statistic:

=> z = ( \(\hat{p}\)  - p) / √(p×(1 - p)/n) = (0.4 - 0.43) /√(0.43×0.57/75) = -0.81

At the 5% level of significance with a one-tailed test, the critical z-value is -1.645. Since our calculated test statistic (-0.81) is greater than the critical value, we fail to reject the null hypothesis.

Therefore,

We do not have enough evidence to conclude that the proportion of students being bullied at school has decreased at a 5% level of significance.

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You plan to construct a brick wall measuring 14.5 ft. in length, 5.5 ft. high, and 0.5 ft. in width. If a brick measures 6 in. x 4 in. x 2 in. you will need 3,240 bricks.

The volume of the cuboid is the product of the length, breadth, and height of the given prism.

Volume of cuboid = (length x width x height)

We have given that

Dimensions of a brick wall is given by

Length = 14.5 feet

Width = 0.5 feet

Height = 5.5 feet

Dimensions of a brick is given by

Length = 6 inch

Width = 4 inch

Height = 2 inch

First of all, we will convert the dimensions of a wall from feet into inches.

1 feet = 12 inch

15 feet = 12*15 inch = 180 inch

6 feet = 12*6 inch = 72 inch

We know that volume of a brick wall will be equal to the volume of 'n' bricks, so we can set an equation;

The volume of a brick wall = the volume of 'n' bricks

180 x 72 x 12 = n x 6 x 4 x 2

155520 = n x 48

n = 3240

Therefore, you will need 3,240 bricks.

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Answer: w= -18

Step-by-step explanation:

1.) 3(6t2+5t+-4)

2.) 12(-2)power of 2+15(-2)-12

3.) 24-30-12

4.) -6-12

5.) -18

Answer:

Cos(θ) = 7/√58 ; Tan(θ) = 3/7 ; Csc(θ) = √58/3

Step-by-step explanation:

First, let's solve for the hypotenuse by using the Pythagorean Theorem.

a² + b² = c²

⇒ 7² + 3² = c²

⇒ 49 + 9 = c²

⇒ 58 = c²

⇒ √58 = c

Now that we know the hypotenuse is √58, we can solve for the trig ratios.

Cos(θ) = adjacent/hypotenuse = 7/√58

Tan(θ) = opposite/adjacent = 3/7

Csc(θ) = hypotenuse/opposite = √58/3

Answer:

Step-by-step explanation:

∠A and ∠B are complementary because they are the two non-right angles of a right triangle. This means that sinA=cosB and sinB=cosA.

Therefore,

Answer:

ur welcome

Step-by-step explanation:

this is what i think

please mark brainiest

Answer:

-3/2

Step-by-step explanation:

Slope:

Rise: The difference between the y -coordinates of the two points is called the rise.

Run: The difference between the x-coordinates of the same two points is called the run.

First plot two points on the line.

(0, 6 )  and (4 , 0)

Rise = 6 - 0 = 6

Run = 0 - 4 = -4

\(\sf \boxed{Slope = \dfrac{Rise}{Run}}\)

          \(\sf =\dfrac{6}{-4}\\\\=\dfrac{-3}{2}\)