a box in a supply room contains 23 compact fluorescent lightbulbs, of which 8 are rated 13-watt, 9 are rated 18-watt, and 6 are rated 23-watt. suppose that three of these bulbs are randomly selected. (round your answers to three decimal places.)

Answer:

Step-by-step explanation:

[tex]2x - (5-x) = 3x + 2(x-7)[/tex]

[tex]3x-5=3x+2(x-7)[/tex]

[tex]-5=2(x-7)[/tex]

[tex]-\cfrac{5}{2} =x-7[/tex]

[tex]-\cfrac{5}{2}+7=x[/tex]

[tex]-\cfrac{9}{2}=x[/tex]

[tex]x= \cfrac{9}{x}[/tex]

The given expression will not have real factors. The correct option is A.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the quadratic expression is  -2x² - 11x - 20. The expression will be solved as below:-

E = -2x² - 11x - 20

Apply the quadratic factorization formula,

x = [ -b ± √( b² - 4ac ) ] / 2a

x = [ 11 ± √ ( 121 - ( 4 x - 2 x - 20 ) ] / ( 2 x - 2 )

x = [ 11 ± 39i } / -4

The roots of the quadratic equation are not real.

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Answer:

no real factors

Step-by-step explanation:

i took the test

The expansion gives x² - 7x + 5x - 35

It is simplified to x = -5 and x = 7

An algebraic expression can be described as an expression that is comprised of terms, factors, constants, coefficients and variables.

They are also known to be made up of mathematical operations, such as;

From the information given, we have that;

(x+5)(x-7)

Now, expand the bracket

x² - 7x + 5x - 35

factorize in pairs

(x² - 7x) + (5x - 35)

factor the common terms

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

then,

x = -5 and  x = 7

Thus, the expansion is x² - 7x + 5x - 35

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Using a number line, the number 5/8 is greater than 2/4

From the question, we have the following parameters that can be used in our computation:

Comparing 2/4 and 5/8 on a number line

Here is a number line that shows the comparison of 2/4 and 5/8:

 1/2         2/4    3/4     5/8   3/4     2/4         1/2

--|---------|---------|---------|---------|---------|--

As you can see, 2/4 is located halfway between 1/2 and 3/4, while 5/8 is located halfway between 3/4 and 3/4.

Therefore, 5/8 is larger than 2/4.

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The size of the crowd is 7392 people.

The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

20 people fit comfortably in a 10 feet by 10 feet area.

So,

the ratio of the number of people per unit area = 20/(10 × 10) = 20/100 = 1/5

The area, A, occupied by the crowd = 7 feet × 1 mile × 1

1 mile = 5280 feet

A = 7 feet × 5280 feet × 1 = 36960 feet².

Now, number of people = 36960 x 1/5

= 7392 people.

Therefore, the required value is 7392 people.

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If the total price of the trip per student was $7.00, approximately the percentage of the trip that would go towards the price of the bus is 71.43%.

The percentage is the ratio of a variable or value to another.

Percentages are fractional values, computed as the quotient of a numerator over a denominator multiplied by 100.

The bus roundtrip charge per student = $5.00

The trip price per student = $7.00

Percentage of the trip going towards the price of the bus = 71.43% ($5/$7 x 100).

Thus, we expect that 71.43% of the trip amount will be consumed for the bus charter.

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During the first eighteen years of his rule, he spent most of his time defending his nation against attacks from Egypt, Italy, and the Mahdists.

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All of the following contribute to the success of incumbent members of Congress n election campaigns EXCEPT Incumbents tend to understand national issues better than do their challengers.

The term "incumbent" has several meanings depending on the context, but it generally refers to someone who holds a particular position or office. The most common usage of this term is in the context of politics, where an incumbent is the current holder of a political office, such as a president, governor, or member of Congress. An incumbent candidate is the candidate who is currently holding a political office and is running for re-election.

In other fields, the term incumbent is used to describe someone who holds a particular job, position or role and is responsible for certain tasks or duties, for example an incumbent employee, an incumbent contractor, an incumbent provider, etc.

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Complete question not found

To be certain that the angles created form a square inside a circle, it is important to first understand the properties of a square and a circle.

A square is a four-sided polygon with all sides of equal length and all angles of 90 degrees. This means that if we draw a square inside a circle, the four corners of the square should be tangent to the circle.

A circle is a shape with all points on the circumference equidistant from the center. This means that if we draw a square inside a circle, the distance from the center of the circle to the midpoint of each side of the square should be equal to the radius of the circle.

By verifying that the above two conditions are met, we can be certain that the angles created form a square inside the circle. Additionally, we can also check that all the four angle of the square is 90 degrees and the opposite sides are parallel.

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Answer:

Step-by-step explanation:

28

The volume of water in the ocean in litters,  5.6 x 10¹¹ L.    

In reality, the area of one side multiplied by the depth or height of the design yields the volume of cylinders and prisms. The area of the final shape, or the height and depth of the prism or cylinder, is the basic formula for prisms' and cylinders' volumes.

The area of the final shape, or the height and depth of the prism or cylinder, is the basic formula for prisms' and cylinders' volumes.

In reality, the area of one side multiplied by the depth or height of the design yields the volume of cylinders and prisms.

Volume is calculated as Area x Depth.

1.5 × 108/3700 = 5.6 x 10¹¹ L.    

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Answer: Let's call the width of the rectangular playing field "w" and the length "l". From the problem, we know that:

l = 3w + 4 (the length is 4 yards longer than triple the width)

We also know that the perimeter of a rectangle is the sum of the lengths of all four sides, so:

P = 2l + 2w

We are given that the perimeter is 416 yards, so we can substitute that into the perimeter equation:

416 = 2(3w + 4) + 2w

Simplifying and solving for w:

16 = 6w + 8

8 = 6w

w = 8/6 = 4/3

We can now substitute that back into the equation for the length:

l = 3w + 4

l = 3(4/3) + 4

l = 4 + 4

l = 8

So the dimensions of the rectangular playing field are 4/3 yards wide and 8 yards long.

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

let the number be x

3x=42

x=42/3

=14

The length of time it would have taken for both garden hoses to fill the pool would be 6.67 hours.

To solve this problem, we can use the formula:

1/rate = time

In the case of Joe's hose, the rate is 1/12 of the pool per hour. For his neighbor's hose, the rate is 1/15 of the pool per hour.

So, the combined rate is:

= (1/12) + (1/15)

= (5/60) + (4/60)

= 9/60 of the pool per hour

So, the time it will take to fill the pool using both hoses is:

= 1 / (9/60)

= 60/9 hours

= 6.7 hours

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The full question is:

Joe's garden hose fills the pool in 12 hours. His neighbor has thinner hose that fills the pool in 15 hours. How long will it take to fill the pool using both hoses?​

Graphs are used to represent information in bar graphs. Students can solve problems and comprehend relationships between quantities by using bar graphs to show such relationships.

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Fitness increases with energy intake rate was an assumption varied by Lima, Valone, & Caraco (1985) in their model of squirrel food carrying

Now, According to the question:

A parameter is used to describe the entire population being studied. For example, we want to know the average length of a butterfly. This is a parameter because it is states something about the entire population of butterflies.

Fitness increases with energy intake rate varied by Lima, Valone and Caraco (1985) in their model of squirrel food carrying.

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The given question is incomplete, complete question is:

Mathematical models allow researchers to make different predictions by varying assumptions. Which of the following parameters was an assumption varied by Lima, Valone, & Caraco (1985) in their model of squirrel food carrying?

The value of given function is (i) f(x²) = 2*x² and (ii) f(1) = 2*1 = 2.

A function is a link or expression that contains one or more variables. There is a collection of inputs and outputs.

A function is a relationship between a number of inputs and outputs. Simply described, a function is an association between inputs in which each input is coupled to exactly one output. There is a range, codomain, and domain for every function. A function is typically referred to as f(x), where x is the input.

Applications of functions include population, distance traveled, and discovering profit. When using functions, one enters a number into the formula or locates the independent variable on a table or graph before computing the dependent variable that results.

(i) f(x²) = 2*x²

(ii) f(1) = 2*1 = 2

So, f(x²) = 2*x² and f(1) = 2

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The little cubes can be possible to remove in number of 18 cubes maximum.

What is cube ?

A cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. Viewed from a corner it is a hexagon and its net is usually depicted as a cross. The cube is the only regular hexahedron and is one of the five Platonic solids.

The original surface area is (3x3) x 6 = 54 units.

A unit cube has 6 units of area, so we need 9 cubes.

Remove all the cubes except the original eight corners and the center cube.

The 3×3×3 cube has a surface area of 6×3×3 square units. Taking the 27 smaller units and connecting them to form a single entity, the maximum exposed surface area per cube is 6 square units. If nine of these are connected vertex to vertex in any shape then the objective is achieved. So a maximum of 18 of the small cubes can be removed.

Hence , The little cubes can be possible to remove in number of 18 cubes maximum.

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The segments MN, BN, and MD are the sides of a triangle.

Let AM intersect BC at point P and let AN intersect CD at point Q. Spin A about PQ to obtain E where AE = AB. We want to prove that EMN is the required triangle. For that, it is adequate to show that EM = MD and EN = BN.

Let h be the distance of A from the BCD. Then the distance of A from the line PQ is minimum h, so point E exists provided that the side length maximum is 2h. It is √(3/2) h.

We have by construction AD = AE and EP = AP.  Also, since P lies on the line BC, then PA = PD. Hence PA = PA, PD = PE, AD = AE, so PAD and PAE are congruent triangles. Hence E can also be acquired by spinning D about AP. Since M lies on AP, it gives EM = DM.

Similarly, with B and D interchanged and M and N interchanged, we get EN = BN.

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The identities in verifying the trigonometric expression sinx cosx tanx=1-cos^2x include:

tanx = sinx/cosx

sin^2x+cos^2x = 1

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous unique trigonometric identities that relate a triangle's side length and angle.

Anytime trigonometric functions are used in an expression or equation, trigonometric ifentities are helpful. For every value of a variable appearing on both sides of an equation, a trigonometric identity holds true. These trigonometric functions (such as sine, cosine, and tangent) of one or more angles are involved geometrically in these identities.

Based on the question, tanx = sinx/cosx and sin²x+cos^²x = 1 are applicable.

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What basic trigonometric identity would you use to verify that sinx cosx tanx=1-cos^2x

The distance the race car traveled during this time period using the velocities at the beginning of the time intervals is 23.886 mi

Use areas of rectangles to approximate the area under the curve. The width of each rectangle is 10 sec = 1/36 hrs and the lengths are the velocities.

LH = 1/36 ( 183.9 + 167 + 107.6 + 98.8 + 125.5 + 177.1)

LH=1/36(862.9)

LH≈ 23.886 mi

To find the right-hand approximation:

RH = 1/36 (167 + 107.6 + 98.8 +125.5 +177.1 + 176.6)

RH=1/36(852)

RH≈ 23.683 mi

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The work done by the force of friction is μmgd.

The work done by the applied force is equal to the displacement of the block (d) multiplied by the component of the force parallel to the displacement. If the applied force is F and the angle between the force and the displacement is θ, then the component of the force parallel to the displacement is Fcos(θ).

Therefore, the work done by the applied force is given by dFcos(θ). The force of friction will also do work, which is equal to the displacement of the block multiplied by the force of friction. The force of friction is given by μN, where N is the normal force and is equal to the weight of the block (mg). Therefore, the work done by the force of friction is μmgd, where d is the displacement.

Correct Question :

A block of mass m is pulled along a horizontal surface by applying a force at an angle θ with the horizontal. If the block travels with a uniform velocity and has a displacement d and the coefficient of friction is μ, then the work done by the applied force is?

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Answer:

90

Step-by-step explanation:

the bottom of the picture is cut off but it's 90°

becuase the picture shows you the 2 sides of the triangle r equal

the angles on the top are also equal

so that means the middle line has to be perpendicular to the base.

so Y is 90

To calculate the percent increase in airplane passenger capacity, we first need to find the difference between the current capacity (600 passengers) and the predicted future capacity (1400 passengers).

1400 - 600 = 800

Then divide this difference by the current capacity, and multiply by 100 to express the answer as a percentage.

(800/600) * 100 = 133.33

So the predicted percent increase in airplane passenger capacity is approximately 133%.

The nearest percent is 133%.

The integral[tex]$\int_{-\infty}^{\infty} f(x)^2 dx$[/tex] expresses the volume of the solid, where f(x) is the side length of the square cross sections taken perpendicular to the x-axis in the region r.

The given integral [tex]$\int_{-\infty}^{\infty} f(x)^2 dx$[/tex] expresses the volume of the solid whose base is the region r. The integral is calculated by taking the cross sections of the solid perpendicular to the x-axis and consider them as squares. The side length of each square is denoted by f(x). The integral is calculated over the region r, which is the base of the solid. This integral is the sum of the areas of all the squares, which is equivalent to the volume of the solid. The integral is calculated by taking the lower limit of integration as[tex]$-\infty$[/tex] and the upper limit of integration as[tex]$\infty$[/tex]. Hence, the integral [tex]$\int_{-\infty}^{\infty} f(x)^2 dx$[/tex] expresses the volume of the solid with the base region r and square cross sections.

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The brain cancer with code is secondary malignant neoplasm of brain. So the option 3 is correct.

Some women experience persistent nerve pain (neuropathic pain) in the arm, armpit, or chest wall following breast cancer surgery. Due to the fact that it was originally identified in women who had mastectomies, this is known as post-mastectomy pain syndrome (PMPS), but it can also occur following other forms of breast-conserving surgery.

According to studies, 20% to 30% of women experience PMS symptoms following surgery. It most frequently occurs following procedures that remove tissue from the underarm or upper outer region of the breast.

It is crucial to discuss any pain you are experiencing with your doctor. You might not use your arm as you should because of PMPS, and eventually you might stop being able to use it normally.

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The complete question is:

Terry is post-mastectomy from breast cancer. Sadly, she has now found out that the cancer has metastasized to her parietal lobe of her brain. Report the brain cancer with code:

1. Benign neoplasm of brain, supratentorial

2. Malignant neoplasm of parietal lobe

3. Secondary malignant neoplasm of brain

4. Neoplasm of uncertain behavior of brain, supratentorial

The genotype must be Rr and rr because the outcome is close to the 1:1 ratio of red to white flowering plants.

According to Mendel's law of dominance, one feature in a heterozygote will mask the existence of another trait for the same attribute. The dominant allele will be exclusively expressed, as opposed to both alleles contributing to a trait.

When parents with distinct, opposing qualities are crossed, only one form of the trait manifests itself in the offspring, according to Mendel's law of dominance. Only the dominant phenotypic characteristic will be present in the hybrid offspring. The first law of inheritance is the dominance principle.

This regulation states that the first generation of offspring from purebred parents shall exhibit solely dominant features.

There will be a 1:1 ratio between the dominant and recessive traits when a heterozygous dominant parent mates with a pure recessive parent.

The cross:

           r            r

R         Rr          Rr

r          rr           rr

The genotype must be Rr and rr since the outcome is close to the ratio of red to white flowering plants.

Therefore, the correct answer is option A. The result is close to the 1:1 ratio of red to white flowering plants, so the genotype must be Rr and rr.

The complete question is:

A cross between a plant with red flowers (R = dominant) and a plant with white flowers (r = recessive) yielded 47 plants with red flowers and 51 plants with white flowers. What are the genotypes of the parent plants? Explain

A. The results are close to a 1:1 ratio of plants with red flowers to plants with white flowers. Therefore, the genotypes of the Rr and ir

B. The results should yield plants with red flowers and plants with white flowers in a 3:1 ratio due, so the genotype of each parent is Rr. The number of offspring was not large enough to produce the expected results

C. The results differ from the predicted values. Therefore, the genotypes of the parents cannot be determined.

D. The results should show a ratio of 3 plants with white flowers to 1 plant with red flowers, so the genotypes of the parent plants are RR and rr.

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Answer:

330 approximately.

Step-by-step explanation:

The percentage lying between 2 standard deviations is 95%.

So we have 348 * 0.95 = 330 approximately.

The minimum number of aunts that Shamar must have based on the information provided is 10.

It is known that uncles will take a photograph in groups of 10, while aunts will take a photograph in groups of 5. Based on this, the possible number for each are:

Uncles: 10, 20, 30, 40, 50

Aunts: 5, 10, 15, 20, 25

In this case, the minimum number is the LCM or Least Common Multiple and based on the previous list, this number is 10.

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