PLEASE HELP ITS EASY MATH
Workers install 600 chairs at a constant rate. After 4 days, the workers still have to install 360 chairs. How much time does it take to install the chairs from start to finish?

(a) The critical values are x = -5 and x = 1

(b) The intervals are Increasing: -5 < x < 1 and Decreasing: -∝ < x < -5 and 1 < x < ∝

(c) The relative extrema are (-5, 0) and (1, 6)

Given that

\(f(x) = \frac{x^2 + 10x + 25}{x^2 + 5}\)

Differentiate the function

So, we have

\(f'(x) = -\frac{10(x^2 + 4x - 5)}{(x^2 + 5)^2}\)

Set to 0

So, we have

\(-\frac{10(x^2 + 4x - 5)}{(x^2 + 5)^2} = 0\)

This gives

x² + 4x - 5 = 0

When evaluated, we have

x = -5 and x = 1

So, the critical values are x = -5 and x = 1

Here, we simply plot the graph and write out the intervals

The graph is attached and the intervals are

The derivative of the function is calculated in (a), and the results are

x = -5 and x = 1

So, we have

\(f(-5) = \frac{(-5)^2 + 10(-5) + 25}{(-5)^2 + 5} = 0\)

\(f(1) = \frac{(1)^2 + 10(1) + 25}{(1)^2 + 5} = 6\)

This means that the relative extrema are (-5, 0) and (1, 6)

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Answer:

D. 6 feet

Step-by-step explanation:

The volume of a rectangular prism can be found by using L * W * H, or B * H

-> The length (L) times the width (W) is equal to the base (B)

V = B * H

528 = 88H

6 = H

The number is given as,

It is asked to round off the given number to the nearest hundredth.

A number is said to be in the nearest hundredth if the number contains two digits after the decimal. For this, we use the rules of rounding off till there are only 2 digits remaining after the decimal.

Consider that the last digit of the number is 5, so we drop this 5 and add 1 to its preceding digit,

Again, consider that the last digit of the number is 2, which is less than 5, so we simply drop this 2, and no change is made to the preceding digit,

Thus, the number obtained after rounding off the given number 4.4615 to the nearest hundredth, is 4.46.

the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:

C = {0, 6, 12, 18}

A = {2, 4, 6, 8, 10, 12}

We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.

Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.

Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

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(a-1) The value of the population mean is unknown.

(a-2) The best estimate of the population mean is the sample mean, which is 20 eggs.

(c) The value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) the 95% confidence interval for the population mean is approximately (17.902, 22.098).

(e-1) It would not be reasonable to conclude that the population mean is 17 eggs.

(e-2) It would be reasonable to conclude that the population mean is 18 eggs.

(a-1) The given information provides the sample mean (20 eggs) and the sample standard deviation (5 eggs), but it does not directly provide the population mean.

(a-2) In the absence of other information, the sample mean is a reasonable estimate of the population mean.

(c) For a 95% confidence interval, the value of t can be determined using the t-distribution with n-1 degrees of freedom, where n is the sample size. In this case, the sample size is 18, so the degrees of freedom is 18 - 1 = 17.

Using a t-distribution table or a statistical software, the value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) To determine the 95% confidence interval for the population mean, we can use the formula: Confidence interval = sample mean ± (t * standard error), where the standard error is the sample standard deviation divided by the square root of the sample size.

In this case, the sample mean is 20, the standard deviation is 5, the sample size is 18, and the value of t is 2.110. Plugging in these values, the confidence interval is 20 ± (2.110 * (5 / √18)), which evaluates to approximately 20 ± 2.098.

(e-1) The 95% confidence interval calculated in part (d) does not include 17 eggs, indicating that it is unlikely for the population mean to be 17 eggs.

(e-2) The 95% confidence interval calculated in part (d) includes 18 eggs, suggesting that it is plausible for the population mean to be 18 eggs.

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Answer:53 6/25

Step-by-step explanation:

3) \(\angle ADB\) and \(\angle BDE\) are supplementary (if two angles form a linear pair, they are supplementary)

4) \(\angle ADC\) and \(\angle CDE\) are supplementary (if two angles form a linear pair, they are supplementary)

5) \(\angle ADB \cong \angle ADC\) (supplements of congruent angles are congruent)

6) \(\triangle ADB \cong \triangle ADC\) (SAS)

7) \(\angle ABD \cong \angle ACD\) (CPCTC)

Answer:

\(\frac{3}{14}\)

Step-by-step explanation:

\(\frac{3}{10} \times \frac{5}{7} =\frac{3 \times 5}{10 \times 7}=\frac{15}{70}= \frac{3}{14}\)

Answer:

(5x+20)+(4x-11)=180(linear pair)

9x+9=180

9x=180-9

9x=171

x=171/9

x=19

now,

(2y+19)+(5x+20)=180(co-interior angle)

2y+19+5×19+20=180

2y+134=180

2y=180

y=180/2

y=90

Answer:

14 \(u^2\)

Step-by-step explanation:

The attached image shows the diagram of the triangle drawn on the Cartesian plane.

We can see that it has the following measures:

base: \(b=7u\)

height: \(h=4u\)

the area of a triangle is given by the formula:

\(A=\frac{b*h}{2}\)

substituting the values:

\(A=\frac{(7u)(4u)}{2}\\ \\A=\frac{28u^2}{2} \\\\A=14u^2\)

the area, in square units, of the triangle is 14

The translation is as shown in the figure in option B

Translation transformation is a type of geometric transformation that moves every point of a figure the same distance and direction. This transformation does not change the size, shape, or orientation of the figure, but only its position in space.

The transformation required ahs the rule defined as

Applying the rule arrives the image in option B

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\(\\ \sf\longmapsto \dfrac{4x+2}{x-9}=\dfrac{3}{5}\)

\(\\ \sf\longmapsto 5(4x+2)=3(x-9)\)

\(\\ \sf\longmapsto 20x+10=3x-27\)

\(\\ \sf\longmapsto 20x-3x=-27-10\)

\(\\ \sf\longmapsto 17x=-37\)

\(\\ \sf\longmapsto x=\dfrac{-37}{17}\)

Answer:

\(\frac{4x+2}{x-9}\) = \(\frac{3}{5}\)

5( 4x+ 2 ) = 3 ( x-9 )

20x + 10 = 3x - 27

20x -3x = -27 -10

17x = -37

x = - 37/17

The 99% confidence interval for the true mean length of the manufactured bolt is (2.9177, 3.0823)

Here, we need to construct a 99% confidence interval for population mean (μ) is given by

μ = x + Zα/2 * σ/√n   or    μ = x - Zα/2 * σ/√n

where, μ = population mean

x = sample mean

  = 3 inches

σ = population standard deviation

  = 0.3 inches

Zα/2= z score for a two tailed test at level of significance α = 2.576( for a 99% confidence level)

So, the upper limit would be,

μ = 3 + 1.645 * (0.3/√36)

μ = 3 + 1.646 * (0.3/6)

μ = 3.0823

And the lower limit would be,

μ = 3 - 1.645 * (0.3/√36)

μ = 3 - 1.646 * (0.3/6)

μ = 2.9177

Hence, the 99% confidence interval is (2.9177, 3.0823)

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Answer:

A.

two rays that share a common endpoint called the vertex

Step-by-step explanation:

In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

The best statement which defines an angle is "Two rays that shares a common endpoints called vertex".

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

From the definition of an angle, a figure which is formed by two rays or lines that shares a common endpoints is called an angle.

Hence, the best statement which defines an angle is "Two rays that shares a common endpoints called vertex".

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In the case of F = 5, the resulting value of C = -15 indicates that it is a very cold temperature in Celsius.

To convert degrees Fahrenheit (F) to degrees Celsius (C), you can use the formula C = (5/9) * (F - 32). Let's apply this formula to find C for F = 5.

Substituting the given values into the formula, we have:

C = (5/9) * (5 - 32)

  = (5/9) * (-27)  [subtracting 32 from 5]

  = -135/9

  = -15

Therefore, when F = 5, the equivalent temperature in degrees Celsius is -15.

The formula for converting Fahrenheit to Celsius is derived from the relationship between the two temperature scales. In this formula, 32 represents the freezing point of water in Fahrenheit, and 5/9 is the conversion factor to adjust for the different scale intervals between Fahrenheit and Celsius.

By subtracting 32 from the Fahrenheit temperature and then multiplying it by 5/9, we account for the temperature offset and convert it to the Celsius scale.

The resulting value represents the temperature in degrees Celsius.

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Answer:

224

Step-by-step explanation:

i2+161+64

=224

Let cost be x

\(\\ \bull\sf\dashrightarrow x+0.15x=1449\)

\(\\ \bull\sf\dashrightarrow 1.15x=1449\)

\(\\ \bull\sf\dashrightarrow x=\dfrac{1449}{1.15}\)

\(\\ \bull\sf\dashrightarrow x=1260\)

Answer:

Solution given:

Vat=15%

Selling price with vat=Rs1449

Selling price with out vat=?

We have

Selling price with vat=Selling price without vat +Vat amount

Rs 1449=selling price without vat +vat % of selling price without vat

Rs1449=Selling price without vat(1+vat/%)

Selling price without vat=\(\bold{\frac{Rs1449} {1+\frac{15}{100}}}\)

Selling price without vat=\(\bold{\frac{Rs1449}{1.15}}\)

Selling price without vat=Rs1260

(a) To show that the point (3/5, 4/5) is on the unit circle, we need to prove that (3/5)² + (4/5)² = 1 .

(b) The distance between points (2,-5) and (-7,-5) is 9 units .

(c) The midpoint of the line segment that joins the given points is given by: (-5/2,-5) .

In the question ,

it is given that ,

the points given is (3/5 , 4/5)

(a) To show that the point (3/5, 4/5) is on the unit circle, we need to prove that (3/5)^2 + (4/5)^2 = 1

that is

9/25 + 16/25 = 1

25/25 = 1

1 = 1

hence proved that the point (3/5, 4/5) is on the unit circle .

(b)  The distance between (2, -5) and (-7, -5) is calculated using the formula

\(=\)√(x₂ - x₁)² \(+\) (y₂ - y₁)²

= √(-7 - 2)² + (-5 -(-5))²

= √(-9)² + (-5 + 5)²

= √(-9)² = √81

= 9 units

(c) the mid point joining the points (2, -5) and (-7, -5) is (a,b) that is calculated by

a = (2-7)/2     ,   b = (-5-5)/2

a = -5/2        ,     b = -10/2

a = -5/2 and b = -5

the mid point is (-5/2,-5)  .

Therefore , (a) To show that the point (3/5, 4/5) is on the unit circle, we need to prove that (3/5)² + (4/5)² = 1 .

(b) The distance between points (2, -5) and (-7, -5) is 9 units  .

(c) The midpoint of the line segment that joins the given points is given by (-5/2,-5)  .

The given question is incomplete , the complete question is

(a) To show that the point (3/5, 4/5) is on the unit circle, we need to prove that (3/5)² + (4/5)² =        .

(b) The distance between (2, -5) and (-7, -5) is         .

(c) The midpoint of the line segment that joins the given points is given by  (     ,     )    .

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Answer:

percentage decrease is always calculated like this

((orignal - new ) / original ) 100

So in this case

100-45= 55

55/100 is 11/20

11/20 * 100/1 is well simplified is 55

so 55%

Answer:

  998 cm²

Step-by-step explanation:

You want the surface area of the L-shaped prism shown.

The total surface area of the prism will be the sum of the areas of the L-shaped bases and the areas of the rectangular faces.

Each L-shaped base is a 17 cm by 18 cm rectangle with a cutout that is (17-13) = 4 cm high and (18 -5) = 13 cm wide. Then the area of one base is ...

  17·18 -4·13 . . . . . . area of one of two bases

The lateral area of the prism is the product of the perimeter of the base, and the height of the prism (distance between bases). That will be ...

  2(17 +18)(7)

Then the total surface area will be that of the two bases, together with the lateral area:

  2(17·18 -4·13) +2(7)(17 +18)

  = 2(17·17 -4·13 +7(17 +18)) = 998 . . . . square centimeters

The surface area of the prism is 998 cm².

__

Additional comment

The perimeter of the base is the sum of its horizontal boundaries and its vertical boundaries. The sum of the top boundaries is the same as the bottom boundary. Likewise, the sum of left-side boundaries is the same as the right-side boundary. Hence we can treat the perimeter as we would the perimeter of a rectangle with the same overall dimensions.

The area of the base can be computed as the difference of rectangles (as we did), the sum of rectangles, the sum of trapezoids, or other sums. We like to find the simplest decomposition that will give the correct area.

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Answer:

Jordon's brother got $40

Step-by-step explanation:

We can set up a system of equations to solve this.

Let's say that Jordon got x dollars.

His brother got y dollars.

x+y=100 since they are dividing the 100 dollars

1/3x=1/2y (the same indicates that they are equal)

Multiply the entire second equation by 3.

x=1.5y

Now we can substitute 1.5y in for x in the first equation.

x+y=100

1.5y+y=100

2.5y=100

Divide both sides by 2.5

y=40

Jordon's brother got $40.

Plug that in to find how much Jordon got.

x+y=100

x+40=100

Subtract 40 from both sides

x=60

Jordon got 60.

Answer:

the mode number of hours is 4 because is the hour spent mostly on the computer

therefore the mode number of hours is 4 hours

Therefore, Two slices of bacon had 96 less calories than three slices of roasted turkey.

a formula that illustrates the connection between two expressions on either side of a sign. It usually only has one variable and an equal sign. like this: 2x – 4 = 2.

Here,

One piece of bacon has 42 calories in it.

There are 60 calories in 1 slice of turkey.

2 slices of bacon are 2 calories each (42)

So 84 calories in 2 slice of bacon

3 slices of roasted turkey have 3 calories each slice (60)

Three slices of roasted turkey have 180 calories each.

180-84 is the difference in the amount of calories.

96 calories are added due to the calorie difference.

Two slices of bacon had 96 less calories than three slices of roasted turkey.

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Answer:

i just got it right.

Step-by-step explanation:

Step-by-step explanation:

A o option

-(-45)

hope it helps