HELP ME PLSLSS I WILL MARK BRAINLEST

Since each side of the pen is being increased by 4 feet, the total increase in perimeter would be 4 feet multiplied by 4 sides, which equals 16 feet.

To determine how many feet of additional fence Craig should purchase, we need to calculate the increase in the perimeter of the enlarged pen. Therefore, Craig should purchase an additional 16 feet of fence to build his enlarged fence.

The original size of the pen is an 8 by 8 feet square, which means each side measures 8 feet. The perimeter of the original pen is calculated by adding up the lengths of all four sides, so 8 + 8 + 8 + 8 = 32 feet.

To enlarge the pen, Craig decides to increase each side by 4 feet. After the enlargement, each side of the pen would measure 8 + 4 = 12 feet. The perimeter of the enlarged pen is calculated in the same way, by adding up the lengths of all four sides: 12 + 12 + 12 + 12 = 48 feet.

To find the additional fence Craig needs to purchase, we subtract the original perimeter from the enlarged perimeter: 48 feet - 32 feet = 16 feet. Therefore, Craig should purchase an additional 16 feet of fence to build his enlarged fence.

This calculation is based on the assumption that the pen remains a square shape after enlargement. If the shape of the enlarged pen differs from a square, the calculation would vary.

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Answer:

10/(1+√11),  1+√11 and 10/(1-√11) and  1-√11

Step-by-step explanation:

Let x be the first number and y the second number

two numbers that multiplied together give me 10

x*y = 10

and the difference of the two numbers is -2?

x-y = -2

we can write x in terms of y so we only have one variable y

x-y =-2 , add y to both sides

x-y+y = y -2, combine like terms

x= y-2

x*y = 10, substitute x=y-2

(y-2)y = 10, distribute in parenthesis

y² -2y-10 = 0, subtract 10 from both sides

We can use the quadratic formula to solve y² -2y-10 = 0

y = (-b±√b²-4ac)/2a, where a= 1, b= -2, c= -10

y = (2±√4+4*1*10)/2

y = (2±√44)/2

y= (2±2√11)/2

y= 1±√11

x*y = 10, divide both sides by y

x= 10/y

x= 10/(1±√11)

Check :

x*y = 10

[10/(1±√11)] * (1±√11) = 10

⇒[10/(1+√11)] * (1+√11) = 10✅

⇒[10/(1-√11)] * (1-√11) = 10✅

⇒[10/(1+√11)] * (1-√11) = 10❌

⇒[10/(1-√11)] * (1+√11) = 10❌

x-y = -2

⇒

[10/(1+√11) ] -(1+√11) =

[10 -(1+√11 )(1+√11 )]/ (1+√11 ) =

[10 - (1+11+2√11)]/ (1+√11) =

(10-12 -2√11) / (1+√11) =

(-2 -2√11) / (1+√11) =

-2(1+√11)/ (1+√11) =

-2 ✅

⇒

[10/(1-√11) ] -(1-√11) =

[10 -(1-√11 )(1-√11 )]/ (1-√11 ) =

[10 - (1+11-2√11)]/ (1-√11) =

(10-12 +2√11) / (1-√11) =

(-2 +2√11) / (1-√11) =

-2(1 -√11)/ (1-√11) =

-2 ✅

Answer:

752.884 cubic feet

Step-by-step explanation:

Brainliest?

Applying the formula, it is found that the flow rate is of 753 cubic feet per second.

The flow rate is modeled by:

\(Q = 3.367lh^{\frac{3}{2}}\)

\(Q = 3.367l\sqrt{h^3}\)

In which the parameters are:

In this problem:

Then:

\(Q = 3.367l\sqrt{h^3}\)

\(Q = 3.367(20)\sqrt{5^3}\)

\(Q = 753[/etx]

The rate is of 753 cubic feet per second.

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To determine the assignment of employees to jobs that minimizes the total time required to perform the four jobs, we need to consider the time taken by each person to complete each job. Using the given Table 50, we can analyze the data and identify the optimal assignment.

By examining Table 50, we can identify the minimum time taken by each person for each job. Starting with Job 1, we see that Person 4 takes the least time of 16 hours. Moving to Job 2, Person 2 takes the least time of 18 hours. For Job 3, Person 1 takes the least time of 25 hours. Lastly, for Job 4, Person 4 takes the least time of 14 hours.

Therefore, the optimal assignment would be:

- Person 4 for Job 1 (16 hours)

- Person 2 for Job 2 (18 hours)

- Person 1 for Job 3 (25 hours)

- Person 4 for Job 4 (14 hours)

This assignment ensures that the minimum total time is required to perform the four jobs, resulting in a total time of 16 + 18 + 25 + 14 = 73 hours.

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The radius of the sphere is 7.

The center of the sphere is (3, -5, 0).

1. To find the radius and center of the sphere whose equation is given by \(x^2 + y^2 + z^2 - 6x + 10y = 30,\)

we need to rewrite the equation in standard form, which is:

\((x - a)^2 + (y - b)^2 + (z - c)^2 = r^2\)

where (a, b, c) is the center of the sphere and r is its radius.

Finding the radius of the sphere:

To rewrite the given equation in standard form, we need to complete the square for x and y. First, we rearrange the terms as follows:

\(x^2 - 6x + y^2 + 10y + z^2 = 30\)

To complete the square for x, we add and subtract \((6/2)^2 = 9\) to the x terms:

\(x^2 - 6x + 9 + y^2 + 10y + z^2 = 30 + 9\)

\((x - 3)^2 + (y + 5)^2 + z^2 = 49\)

Comparing this to the standard form, we see that the center of the sphere is (3, -5, 0) and its radius is:

\(r = \sqrt(49) = 7\)

Therefore, the radius of the sphere is 7.

2. As we found above, the standard form of the equation of the sphere is:

\((x - 3)^2 + (y + 5)^2 + z^2 = 49\)

Comparing this to the standard form, we see that the center of the sphere is (3, -5, 0).

Therefore, the center of the sphere is (3, -5, 0).

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Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

Answer:

Yes

Step-by-step explanation:

Yes because if you insert -39 for x and 42 for y then your equation is:

42 = -39 + 81

If you were to solve this equation it would be true.

Answer:

f(x) = 1/2(4 - x)(x - 1)(x - 2)

Step-by-step explanation:

Considering zero's and a coefficient, the function is:

f(x) = a(x - 4)(x - 1)(x - 2)

Considering y-intercept:

f(0) = a(0 - 4)(0 - 1)(0 - 2)

4 = a(-4)(-1)(-2)

4 = -8a

a = -1/2

So the function is:

f(x) = -1/2(x - 4)(x - 1)(x - 2) = 1/2(4 - x)(x - 1)(x - 2)

Answer:

101

Step-by-step explanation:

Answer:

negative

positive

Step-by-step explanation:

Answer: positive

positive

Step-by-step explanation:

The answer is -9k Please Rate 5 start

Answer:

-9k

Step-by-step explanation:

\(-\left(8k\right)=-8k\\-k-8k\\-k-8k=-9k\)

This question is incomplete

Complete Question

A baker uses 5.5 Ibs of flour daily

The baker's recipe for a loaf of bread calls for 12 oz of flour. If he uses all of his flour to make loaves of bread, how many loaves can he bake in seven days?

Answer:

51.3 loaves of bread

Step-by-step explanation:

Converting 5.5 Ibs to oz (ounces)

1 Ibs =>12 oz

5.5 Ibs => x

Cross Multiply

12 × 5.5 => 88 oz

1 loaf of bread =>12 oz

Hence, in 1 day

12 oz =>1 loaf of bread

88 oz => x

x =>88 oz/ 12 oz

x => 7.3333333333 loaves of bread

Hence, he can make 7.3333333333 loaves of bread in 1 day

Hence, in 7 days

1 day => 7.3333333333 loaves

7 days => x

x => 7 × 7.3333333333 loaves

x => 51.333333333 loaves of bread

Approximately => 51.3 loaves of bread

Answer:is the same number

Step-by-step explanation:289 because it’s a square all squares have same side

Answer:

y = 4

Step-by-step explanation:

Given

96 = - 6(- 4 - 3y) ( divide both sides by - 6 )

- 16 = - 4 - 3y ( add 4 to both sides )

- 12 = - 3y ( divide both sides by - 3 )

4 = y , that is y = 4

Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

Answer:

1/5

Step-by-step explanation:

15? I think that's what you were asking

Substituting a cumulative area of 0.2420, a mean of 0, and a standard deviation of 1 into the inverse normal distribution, the z-score is -0.71 to two decimal places.

Given that the cumulative area of 0.2420, a mean of 0, and a standard deviation of 1, the required z-score has to be determined.We know that the standard normal distribution with mean 0 and standard deviation 1 is denoted as N(0, 1). The inverse normal distribution with a cumulative area of x is the inverse of the normal distribution with cumulative area x. Let z be the z-score corresponding to a cumulative area of x, then we can say that P(Z ≤ z) = x, where P is the cumulative distribution function of the standard normal distribution.

Substituting the given values in the formula, we get:0.2420 = P(Z ≤ z)We need to find the corresponding z-value using inverse normal distribution. Therefore, we take the inverse of the cumulative distribution function, as follows:z = invNorm(0.2420)z = -0.71 (rounded to two decimal places)Thus, the required z-score is -0.71.

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The integral to find the volume V is then:

V = ∫[0 to L] 144 dx

What is volume of the solid?

The volume of a solid is a measure of how much area of ​​space an object occupies. It is measured by the number of unit cubes needed to fill the body. It is decided by counting the unit cubes in the solid.

To find the volume of a solid, we need to consider parallel cross-sections perpendicular to the x-axis. Since these cross-sections are square, each square cross-section will have the same area throughout the body.

Consider a representative square cross-section at a given x-coordinate. The length of each side of this square will be equal to the diameter of the corresponding circular disc at this x-coordinate. Since the radius of a circular disk is given as 6, the diameter will be twice the radius, which is 12.

Therefore, the area of ​​a square cross-section at any coordinate is x (12)^2 = 144 square units.

To find the volume of a body, we must integrate the areas of all these square cross-sections over the range of values ​​of x that the body occupies. Since no specific range is mentioned in the information provided, I will assume that the body extends from x = 0 to x = L, where L is the length of the body along the x-axis.

The integral to find the volume V is then:

V = ∫[0 to L] 144 dx

Note: dx represents an infinitesimal change in x.

Note that this integral is just a setup and the actual evaluation of the integral is not required in the question.

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The expression that represents the given algebraic tiles is 2x² + 6x + 6

An equation is an expression that shows the relationship between two or more numbers and variables.

The expression for the given algebraic tiles is:

Total = x + x + x + 1 + 1 + 1 + x² + x + x + x + 1 + 1 + 1 + x² = 2x² + 6x + 6

The expression that represents the given algebraic tiles is 2x² + 6x + 6

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Answer:

Radio waves, tides, musical tones, electrical currents

The proofing that Triangle CAD equals triangle CBD is given below.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to a 180 degree angle.

Given,

AC is the common hypotenuse. ∠B=∠D=90°.

To prove,

∠CAD=∠CBD

Since, ∠ABC and ∠ADC are 90°, these angles are in the semi-circle.  lThus, both the triangles are lying in the semi-circle and AC is the diameter of the circle.

⇒ Points A,B,C and D are concyclic.

Thus, CD is the chord.

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Complete question

ABC and ADC are two right triangles with common hypotenuse AC. Prove that ∠CAD=∠CBD.

The slope intercept form of a line which passes through the points (-2, 5) and (6, -4)  is  y = (-9/8)x + 11/4.

According to the question.

A line passes through the two points (-2, 5) and (6, -4).

As we know that, the slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.

So, the slope of the line = -4 -5/(6 + 2) = -9/8

And, the slope intercept form of a line which passes through the points (-2, 5) and (6, -4) is given by

y = (-9/8)x + b

Since, the line passes through (-2, 5) and (6, -4). So, both the points must statisfy the above equation.

⇒ 5 = (-9/8)(-2) + b

⇒ 5 = 9/4 + b

⇒ b = 5 - 9/4

⇒ b = (20 - 9)/4

⇒ b = 11/4

Therefore, the slope intercept form of a line which passes through the points (-2, 5) and (6, -4)  is  y = (-9/8)x + 11/4.

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Answer:

$28

Step-by-step explanation:

\(22 + x - 12 = 38\)

\(x + 1 0 = 38\)

\(x = 28\)

The equation of the least-squares regression line Volume = -0.013 + 0.262(Time)

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

The regresion analysis of volume versus time

The equation of the least-squares regression line is represented as

Volume = b₀ + b₁(Time)

Where

b₀ = Constant = -0.013

b₁ = Time³ = 0.262

Substitute the known values in the above equation, so, we have the following representation

Volume = -0.013 + 0.262(Time)

Hence, the equation is Volume = -0.013 + 0.262(Time)

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The periodic function obtained by replicating f(x) = x² over intervals of length 10 is f(x) = (x - 10k)², for 10k ≤ x ≤ 10(k+1), where k is an integer.

The periodic function by replicating the function f(x) = x² over intervals of length 10, to find the values of f(x) for each interval and then repeat the pattern.

The given function f(x) = x² is defined for x ≥ 0, so we will consider the interval [0, 10] to replicate the function.

Let's divide the interval [0, 10] into smaller intervals of length 10. The function f(x) = x² for this interval is as follows:

For 0 ≤ x ≤ 10:

f(x) = x²

Repeat this pattern for every interval of length 10. For any integer k, the function for the k-th interval [10k, 10(k+1)] is given by:

f(x) = (x - 10k)²

This function represents the replicated pattern for each interval of length 10. It repeats the behavior of the original function f(x) = x².

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Answer:  C $462.50

Step-by-step explanation:

It's $462.50 because since $6 has a higher profit you would want to try and sell more of that product (The football). So $6 times 45 is 270. And the max number of balls the store can have is 80, 80 minus 45 is 35 so there can only 35 baseballs left. 35 times $5.50 is 192.50. Lastly, you add the two products, and you get 462.50.

The maximum profit the store can make from selling footballs and baseballs in a typical month is $462.50.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's say the store sells x footballs and y baseballs.

The total number of balls sold can be expressed as x + y ≤ 80.

Also, we know that 35 ≤ x ≤ 45 and 40 ≤ y ≤ 55.

To maximize the profit, the store should sell the maximum number of footballs and baseballs that it can stock.

From the constraints, we see that the maximum number of footballs the store can sell is 45 and the maximum number of baseballs it can sell is 55, which together make a total of 100 balls.

However, this exceeds the 80-ball limit, so we need to adjust the numbers.

Let's say the store sells 45 footballs and y baseballs.

Then, y ≤ 35 since 45 + 35 = 80, which is the maximum number of balls the store can stock.

Similarly, let's say the store sells x footballs and 55 baseballs.

Then, x ≤ 25 since 25 + 55 = 80.

To find the maximum profit, we need to calculate the profit from selling 45 footballs and 35 baseballs, which will give the highest profit among the feasible combinations.

The profit from selling 45 footballs is 45 × $6 = $270.

The profit from selling 35 baseballs is 35 × $5.50 = $192.50.

The total profit is $270 + $192.50 = $462.50.

Therefore,

The maximum profit the store can make from selling footballs and baseballs in a typical month is $462.50.

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If the length of whice is shorter than the length of the train but longer than the length of one train car then the train can pass one car at a time.

Given that two trains are moving towards each other on the same railroad track. From this track there's an offshot peice of railroad- the length of whice is shorter than the length of the train but longer than the length of one train car.

We are required to find how the trains pass each other.

Two cases are there:

For each car in the shorter train

We assume that cars can be decoupled at any point in the train,so that any required order of cars can be preserved.We further assume that train can move any one of the A's car in addition to all of them.

The total number of cars lengths that must pass the off shoot is the product of the number of cars in both the trains.So,it does not seems to matter which train makes use of the offshoot.

Hence if the length of whice is shorter than the length of the train but longer than the length of one train car then the train can pass one car at a time.

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