Help me ASAP please

The weighted average length of a nail from the carpenter's box is 3.5 centimeters.

Different from calculating the average, the weighted average implies considering the frequency or abundance percentage. Now, to calculate the average weighted we will need to multiply the length of each type of nail by the abundance and finally, we will need to add the results obtained. The process is shown below:

Short nail: 2.5 cm x 70.5%= 1.7625 cm

Medium nail: 5.0 cm x (19% = 0.95 cm

Long nail: 7.5 cm x 10.5% = 0.7875 cm

1.7625 cm + 0.95 cm + 0.7875 cm = 3.5 cm

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Answer:

Please provide more details!

To determine the specific type of roots for the given quartic equation, we need to solve it or analyze its discriminant. However, without further calculations, we cannot determine the exact types of roots for f(x) = 3x^4 + 7x^3 + 2x^2 + x + 9.

Answer:   ±1, ±3, ±9, ±\(\frac{1}{3}\)  

Step-by-step explanation:

f(x)=3x⁴+7x³+2x²+9

To find all possible roots, you take the last number and all its factors and put it over the first number and all its factors.

Factors of last and first:

9:  1, 3, 9

3: 1, 3

Put all of the factors of 9 divided by all factors of 3 and also make them + and - versions.  Also eliminate any repeats like ± \(\frac{1}{1}\)    and   ± \(\frac{3}{3}\)

±1, ±3, ±9, ±\(\frac{1}{3}\)    

Answer:

x = 5

Step-by-step explanation:

2x + 8 = 18

2x = 10

x= 5

Answer:

11

Step-by-step explanation:

2x - 4 = 18

2x = 18 + 4

2x = 22 (divide both sides by 2 to get x)

2x/2 = 22/2

x = 11

Answer:

Heather is correct.

Step-by-step explanation:

Two figures are similar if the figures have the same shape but different size

Two figures are congruent if they have the same shape and size.

So, if we dilate a given figure (by any factor different than one) then we are changing the size of this figure.

Finally, a figure and its dilation can't be congruent, as these figures have different size (but still have the same shape, so the figures are always similar)

Then Heather is correct.

Answer:

x² + y² = 74

Step-by-step explanation:

given

(x - y) = 8 ( square both sides )

(x - y)² = 8² ← expand left side using FOIL

x² - 2xy + y² = 64 ← substitute xy = 5

x² - 2(5) + y² = 64

x² - 10 + y² = 64 ( add 10 to both sides )

x² + y² = 74

The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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Answer: Height = 20 inches, Width = 36 inches

Step-by-step explanation:

Let the height be \(h\) and the width be \(h+16\).

Using the formula for the perimeter of a triangle,

\(2(h+h+16)=112\\\\2(2h+16)=112\\\\2h+16=56\\\\2h=40\\\\h=20 \implies h+16=36\)

Step-by-step explanation:

the area of a parallelogram is

baseline × height = 5 × 3.2 = 16 m²

Answer:

The answer to this question is $72. The equation is x + 17 = 89

Step-by-step explanation:

Equation: x + 17 = 89

Cameron has $89 so 89 would go behind the equal sign.

He has 17 dollars more than he needs. Whenever more is used that usually indicates that it will be a plus sign. So we will do + 17 = 89.

Finally we need to add the x to complete the equation. This will be shown as x + 17 = 89.

If you solve this equation it will equal x = 72.

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Answer:

89-17

Step-by-step explanation:

To find how much Cameron’s skateboard costs you need to take away 17 from your starting amount as you have more. Meaning we subtract the 17 to find how much the skateboard costs.

Answer:

\(f^{-1}(6) = 50\)

Step-by-step explanation:

Given

\(f(x) = \sqrt{2x} - 4\)

Required

Find \(f^{-1}(6)\)

First, we calculate the inverse function

\(f(x) = \sqrt{2x} - 4\)

Express f(x) as y

\(y = \sqrt{2x} - 4\)

Swap the positions of x and y

\(x = \sqrt{2y} - 4\)

Solve for y: Add 4 to both sides

\(4 + x = \sqrt{2y} - 4+4\)

\(4 + x = \sqrt{2y}\)

Square both sides

\((4 + x)^2 = 2y\)

Divide both sides by 2

\(y = \frac{(4 + x)^2}{2}\)

Express y as an inverse function

\(f^{-1}(x) = \frac{(4 + x)^2}{2}\)

Next, solve for: \(f^{-1}(6)\)

Substitute 6 for x

\(f^{-1}(6) = \frac{(4 + 6)^2}{2}\)

\(f^{-1}(6) = \frac{(10)^2}{2}\)

\(f^{-1}(6) = \frac{100}{2}\)

\(f^{-1}(6) = 50\)

Answer:

Two lines are parallel if their slopes are equal.

Answer:

The side length is 62 meters

Step-by-step explanation:

The area of a square is given by

A = s^2  where s is the side length

3844 m^2 = s^2

Take the square root of each side

sqrt( 3844 m^2) = sqrt(s^2)

62 m= s

The side length is 62 meters

Film cameras allow a limited number of shots per role. 36 images can a photographer typically shoot on a roll. Thus, option A is the correct option.

The most cost-effective per shot is the roll, which typically yields 36 exposures. The 35mm format comes in a few different forms. On a roll of 35mm film, half-frame cameras may capture twice as many images at a smaller size.

Rolls of film typically have 24 or 36 exposures. The number of pictures you may take before loading a new roll may be limited as a result. However, some photographers view this as a benefit since it forces them to be more deliberate and exact when creating their images.

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Answer:

I believe the answer is 104

Step-by-step explanation:

13+13=26 thats 1 day so 26×4=104

To earn an average score of 90, the score on the fourth test needs to be 98.

The core value of a set of data is expressed mathematically as the average of a list of data. It is defined mathematically as the ratio between the total number of units in the list and the sum of all the data. The term "mean" in statistics also refers to the average of a particular set of numerical data.

Given the score of the first three tests as:

91, 84, 87.

The average is given by the following formula:

Average = Sum of scores ÷ total number of tests

Let us suppose the score of fourth test as x.

Given that A = 90:

90 = (91 + 84 + 87 + x) ÷ 4

x = 98

Hence, the score on the fourth test must be equal to 98, to get an average score of 90.

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Answer:

26

Step-by-step explanation:

10 + 15

Answer:

Step-by-step explanation:

yes you would. they are very strict with food stamps or EBT card they will still ask for the 3 months for  so put in your 3 months and you should be fine.

Answer:

Step-by-step explanation:

you mean (-4+2i)-(5-4i)

=-4+2i-5+4i

=-9+6i

The joint relative frequency is calculated by dividing the frequency of a specific subset (in this case, the number of adults who prefer watermelon) by the total number of data points.

Here, the specific subset is adults who prefer watermelon, which is 111. The total number of data points is the sum of all children and adults, regardless of fruit preference, which is 445.

So, to find the joint relative frequency of being an adult who prefers watermelon, you would divide 111 by 445.

Hence, the correct answer is:

C. Divide 111 by 445.

The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.

To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.

First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.

In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.

Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.

Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.

Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.

Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.

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Answer:

1st number = 26

2nd number = -57

Step-by-step explanation:

Sum = -31

One number = x

Second number = x - 83

=> x + x - 83 = -31

=> 2x - 83 = -31

=> 2x - 83 + 83 = -31 + 83

=> 2x = 52

=> 2x/2 = 52/2

=> x = 26

First number = x = 26

Second number = x - 83 = 26 - 83 = -57

So, the 1st number = 26

            2nd number = -57

For finding a 95% confidence interval:

a) The sample mean is x = 16.13.

The sample standard deviation is s = 6.948.

The degrees of freedom are df = 10.

The critical value of t for a 95% confidence interval is t = 2.228.

The margin of error is ME = t × s/√n = 2.228(6.948)/√11 = 4.263.

The 95% confidence interval is x ± ME = 16.13 ± 4.263 = (11.867, 20.393).

b) The 95% confidence interval is (11.867, 20.393).

This means that we are 95% confident that the true population mean number of visits per physical therapy patient is between 11.867 and 20.393 visits.

c) This is because the confidence interval is a range of values that is likely to contain the true population mean. If many samples of the same size are taken from the same population, then about 95% of the confidence intervals from these samples will contain the true population mean.

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The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.

The length of the container is 2.76 meters.

The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).

The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).

Now we can calculate the volume of the container:

Volume = Length × Width × Height

Volume = 2.76 meters × 2.35 meters × 1.96 meters

Volume ≈ 12.9516 cubic meters (rounded to four decimal places)

Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

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Answer:

hours = 5 x dollars

Step-by-step explanation:

Because, for every hour you earn 5 dollars.

Answer:

the second one :)

Step-by-step explanation:

Answer:

16/24

Step-by-step explanation:

Question 9/12 is equivalent to 3/4

15/20 is equivalent to 3/4

24/32 is equivalent to 3/4

6/8 is equivalent to 3/4

But 16/24 is equivalent to 2/3, not 3/4.

The ages will be:

Henry's weight = 38kg

David =35kg

Peter = 50 kg

Let Henry's weight be represented by x

David is 3kg lighter. This will be x-3.

Peter is 15kg heavier. This will be:

= x-3 + 15 = x +12

This will be:

x + x-3 + x + 12 = 123

3x + 9 = 123

3x = 123 - 9

3x =114

Divide

x = 114/3 = 38

Therefore, Henry's weight = 38kg

David =x - 3 = 38 - 3 = 35kg

Peter =35 + 15 50 kg

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Considering the definition of an inequality, the required inequality is for x ≤  4.6 and the number of people who can go to the amusement park must be less than 4.

An inequality is an inequality between two algebraic expressions of one or more unknowns, connected through the signs:

The inequality between the two algebraic expressions only holds, or rather, is only true for certain values of the unknown.

Being "x" the number of people who can go to the amusement park, and considering that:

the inequality that expresses the previous relationship is

10.50 + 32.50x ≤ 160

Solving:

32.50x ≤ 160 - 10.50

32.50x ≤ 149.5

x ≤ 149.5÷ 32.5

x ≤ 4.6

Finally, the required inequality is for x ≤  4.6 and the number of people must be less than 4.

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The second part of Theorem 6 states that if w is any solution of the linear system Ax=b, and p is a particular solution of Ax=b, then the difference vector v=h−p is a solution of the homogeneous system Ax=0.

We will now prove this statement.

Since p is a particular solution of Ax=b, we have A*p = b. Then we can write w = p + v, where v = w - p.

To show that v is a solution of Ax=0, we need to show that Av=0.

We have:

Av = A(w-p) = Aw - Ap

Since Aw = b (by the assumption that w is a solution of Ax=b) and Ap = b (by the assumption that p is a particular solution of Ax=b), we can simplify this to:

A*v = b - b = 0

Thus, v is a solution of Ax=0, as required.

Therefore, every solution of Ax=b has the form w=p+v, where p is a particular solution of Ax=b and v is a solution of Ax=0.

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First, let's start from the sixth equation.

Since the parallelogram divided by the circle is equal the parallelogram, it means the circle has a value of 1.

Then, from the 7th equation, the pentagon minus the arrow is equal the pentagon, it means the arrow is equal 0.

From the 8th equation, the two curved arrows summed are equal 10, so the curved arrow is equal 5.

From the 2nd and 4th equations we can find that the triangle is equal 2.

Using the value of the pentagon from the 4th equation in the 3rd one, we have that 3 * moon is equal parallelogram, so the only option is:

moon = 3, pentagon = 6, parallelogram = 9.

From the 1st equation, the square is equal 8.

Finally, from the 5th equation, the arrow with circle is equal 7.

So we have:

pentagon = 6

parallelogram = 9

moon = 3

triangle = 2

arrow = 0

curved arrow = 5

arrow with circle = 7

circle = 1

square = 8

So the star is the missing algarism: 4

When lines a and b overlap, angle 1 equals angle 3.

The intersection of two lines in Euclidean geometry might be the empty set, a point, or another line. Distinguishing these circumstances and locating the intersection have applications in computer graphics, motion planning, and collision detection, among others. When two or more lines intersect on a plane, they are referred to as intersecting lines. The crossing lines have a common point, which exists on all of them and is known as the point of intersection. The intersecting lines are two lines that have precisely one common point. The crossing lines have a point in common. The point of intersection is the common point that exists on all intersecting lines.

Here,

To prove ∠1 ≅ ∠ 3, we can use the congruent supplements theorem. According to the congruent supplements theorem, If two angles are supplements of the same angle then two angles are congruent.

Line a and line b intersect                                         (given)

∠3 is supplementary to ∠2 because of linear pair theorem (given)

So, if we take ∠2 as the common angle

And  ∠1 is supplementary to ∠2  by linear pair theorem     ( option D)

Then, ∠1 is supplementary to ∠2 which is supplementary to ∠3

Therefore, ∠1 ≅ ∠3 (according to the congruent supplements theorem)

This is proved when line a and line b intersect, angle 1=angle 3.

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