Here is the question of the day! 5437 + 6992+ 125+ 342 =

The required volume of irregular figure is 300 cm³.

In mathematics, 'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.

Now the given dimensions of the irregular figure are,

a = 2 cm

b = 4 cm

c = 6 cm

Thus, Volume of this part is given as

Volume = a*b*c

Putting the values we get,

Volume = 2*4*6 cm³

Solving we get,

Volume = 48 cm³

Now another dimensions of another part are,

d = 7 cm

e = 4 cm

f = 9 cm

Thus, Volume of this part is given as

Volume = d*e*f

Putting the values we get,

Volume = 7*4*9 cm³

Solving we get,

Volume = 252 cm³

Thus, Total Volume of the irregular figure = 48 cm³ +  252 cm³

⇒ Total Volume of the irregular figure = 300 cm³

this is the required volume of irregular figure.

Thus, the required volume of irregular figure is 300 cm³.

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The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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Answer:

c

Step-by-step explanation:

I think its c..... I'm not really sure though

Answer:The correct awnser is C

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

4x-3 = 2x+7.​

Subtract 2x from each side

4x-2x-3 = 2x-2x+7.​

2x-3 = 7

Add 3 to each side

2x-3+3 = 7+3

2x= 10

Divide by 2

2x/2 = 10/2

x = 5

Answer:

x=5

Step-by-step explanation:

4x -3 = 2x +7

Let's start by getting the 2x away from the seven. Subtract the 2x from itself and from 4x. We will subtract 2 because a negative will cancel out the positive.

2x -3 = +7

Now let's get the -3 away from 2x. Add 3 to the -3 and the +7. We will add because a positive will cancel out the negative.

2x = +10

Then divide +10 by 2 to get the final answer.

Answer:

G (-2,8)

Step-by-step explanation:

(-8+x)/2 = -5

-8 + x = -10

x = -10 + 8

x = -2

(0+y)/2 = 4

y = 4 · 2

y = 8

Answer: She can make 72 cupcakes.

Step-by-step explanation:

4√2 +_√32 2√2 is equal to 4√2.  To compute the given expressions using modular addition, we need to perform addition modulo the given modulus.

Let's solve each exercise step by step:

7 +_11 9

To perform modular addition modulo 11, we add the numbers and take the remainder when divided by 11:

7 + 9 = 16

Now, we take the remainder when 16 is divided by 11:

16 mod 11 = 5

Therefore, 7 +_11 9 is equal to 5.

3/4 + _2 15/11

To perform modular addition modulo 15/11, we add the fractions and take the remainder when divided by 15/11:

3/4 + 15/11 = (33/44) + (60/44) = 93/44

Now, we take the remainder when 93/44 is divided by 15/11:

(93/44) mod (15/11) = (93/44) - (6/4) = (93/44) - (33/22) = (93 - 66)/44 = 27/44

Therefore, 3/4 +_2 15/11 is equal to 27/44.

5п/3 + _2л бл/5

To perform modular addition modulo 2п, we add the angles and take the remainder when divided by 2п:

5п/3 + 2п = (10п/3) + (6п/3) = 16п/3

Now, we take the remainder when 16п/3 is divided by 2п:

(16п/3) mod 2п = (16п/3) - (6п/3) = 10п/3

Therefore, 5п/3 +_2л бл/5 is equal to 10п/3.

4√2 +_√32 2√2

To perform modular addition modulo √32, we add the numbers and take the remainder when divided by √32:

4√2 + √32 = (4√2) + (4√2) = 8√2

Now, we take the remainder when 8√2 is divided by √32:

(8√2) mod √32 = (8√2) - (4√2) = 4√2

Therefore, 4√2 +_√32 2√2 is equal to 4√2.

Please note that the notation "+_a b" is used to represent modular addition modulo a, where b is the number being added.

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Bearing is a topic that deals with the distance and location of a given object with respect to a reference point. Thus in the given question, the ship is 57.23 km to the yacht.

Bearing is a topic that considers the distance and position of a given object with respect to a reference point. Thus the angles are usually measured with reference to the north pole.

Thus to solve the given question, let the required distance be represented by x.

Applying the cosine rule, we have;

\(c^{2}\) = \(a^{2}\) + \(b^{2}\) - 2ab Cos C

The angle C between the line from ship to tugboat and from tugboat to yacht can be determined as;

C = \(10^{o}\) + \(40^{o}\)

C = \(50^{o}\)

Thus,

\(c^{2}\) = \(36^{2}\) + \(27^{2}\) + 2(36 x 27) Cos \(50^{o}\)

  = 1296 + 729 + 1944(0.6429)

  = 2025 + 1249.8

\(c^{2}\) = 3274.8

c = \(\sqrt{3274.8}\)

  = 57.2259

c = 57.23

Therefore, the distance from the ship to the yacht is 57.23 km.

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Kindly contact a 1-on-1 tutor if more explanations are needed.

Answer:

it equal 6.72

Step-by-step explanation:

if u divide them it will equal 6.7 but his answer would of looked like 672

Answer:

Step-by-step explanation:

90+35=exterior angle(sum of two interior opposite angle is equal to the exterior angle formed)

125=exterior angle

Answer:

125

Step-by-step explanation:

all the angles inside the triangle should add to 180:

so 180 - 35 - 90 = 55

then since it asked for exterior it should be:

180 - 55 = 125

because it on a straight line and a straight line is 180 it becomes:

125

I can help with more too

Answer:

To find the equation of the line passing through the point (3,2) and parallel to line x + 2y = 5, we need to use the point-slope form of a linear equation. The point-slope form of a linear equation is: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

We know that two lines are parallel if they have the same slope. Since the given line x + 2y = 5 has a slope of -1/2, the equation of the line passing through (3,2) and parallel to x + 2y = 5 is y - 2 = -1/2 (x - 3), or simplifying y = -1/2x + 7/2

To find the equation of the line passing through the point (2,5) and parallel to the line x + 3y - 8, we need to use the point-slope form of a linear equation. The point-slope form of a linear equation is: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

We know that two lines are parallel if they have the same slope. Since the given line x + 3y - 8 has a slope of 1/3, the equation of the line passing through (2,5) and parallel to x + 3y - 8 is y - 5 = 1/3 (x - 2), or simplifying y = 1/3x + 1/3

It's important to note that the lines are parallel because they have the same slope and different y-intercept, which means that they will never intersect.

Step-by-step explanation:

Any value in the interval (-∞,-2√5] ∪[2√5,∞) will cause the quadratic equation x2+bx+5 = 0 to have two real number solutions.

Given quadratic equation is:

\(x^{2} +bx+5=0\)

Any equation of the form \(ax^{2} +bx+c=0\) is called a quadratic equation where a≠0.

To have two real number solutions the discriminant of a quadratic equation should be greater than or equal to zero.

\(D\geq 0\)

\(b^{2} -4(1)(5)\geq 0\)

\(b^{2}-20 \geq 0\)

\(b^{2} -(2\sqrt{5}) ^{2}\geq 0\)

\((b+2\sqrt{5} )(b-2\sqrt{5} )\geq 0\)

b∈\((-\infty,-2\sqrt{5}]\)∪\([2\sqrt{5},\infty)\)

Hence, any value in the interval (-∞,-2√5] ∪[2√5,∞) will cause the quadratic equation x2+bx+5 = 0 to have two real number solutions.

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A. The percentage of all customers is significantly higher than the 30% reported by the consultant, while the percentage of customers who had shopped at the department store more than twice per year is unknown based on the given data.

Compare the percentages from the survey to the consultant's reported percentage of 30%.

According to the survey results, 40 out of 100 customers disagreed with the statement, "For the same amount of money, I will generally buy one good item than several of lower price and quality." This means that the percentage of all customers surveyed who disagreed is 40%.

We don't have information about the percentage of customers who shopped at the department store more than twice per year and disagreed with the statement from the given data. Therefore, we cannot compare it directly to the consultant's reported percentage.

Comparing the percentage of all customers surveyed who disagreed (40%) to the consultant's reported percentage (30%), we can conclude that the percentage of all customers surveyed who disagreed is significantly higher than the 30% reported by the consultant. However, we cannot make any conclusions about the percentage of customers who shopped at the department store more than twice per year based on the given information.

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The equation of the line that passes through the points (3,2) and (5,6) is: y = 2x - 4

Given:

we have two points:

(3,2) and (5,6)

we are asked to find the equation of a line that passes through the points (3,2) and (5,6).

let the two points be:

(3,2) = (x₁,y₁)

(5,6) = (x₂,y₂)

we know the point slope form as:

y - y₁ = m(x-x₁)

to find slope:

m = y₂-y₁/x₂-x₁

m = 6-2/5-3

m = 4/2

m = 2

now take the point as :

y - 2 = 2(x-3)

y - 2 = 2x-6

y = 2x - 6 + 2

y = 2x - 4

Hence we get the equation of the line as y = 2x - 4.

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The correct formula for the expression is,

⇒ f (x)  = - 6 cos (π/4.5x - 2π) + 2

Since, Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a function:

f(x) = a cos(bx + c) + d

Here a is the amplitude:

Since, The value of d is the average of maximum and minimum.

Hence,  d = (9 - 5)/2 = 4/2 = 2

And, The value of 'a' is the difference between the maximum value and d.

Hence,  a = -4 -(2) = - 6

Here, the half-period is,

= π - 3π/4) = π/4

=  b = 2π/9 = π/4.5

The value of c is the value makes the cosine zero at x= 9

⇒  (π/4.5)(9) +c = 0

⇒  c = -2π

Hence, Function is,

f (x) = - 6 cos (π/4.5x - 2π) + 2

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Answer:

The correct answer would be:

f (x) = - 6 cos (π/4.5x - 2π) + 2

The Selling Price of the Jordans will be is $114.

Ishaq purchased a pair of Jordans for $95 and he is selling them to his classmates Angel or Jayden.

Ishaq wants to make a 20% profit off of the shoes. What would be the new price of the shoes if he increases the price by 20%? The original price of the Jordans purchased by Ishaq is $95.

Ishaq wants to make a profit of 20% on the shoes he is selling to Angel or Jayden.

20% of $95 is

=> (20/100)*$95

=> $19.

Therefore, Ishaq's profit will be $19.

So, the selling price of the Jordans will be

$95 + $19 = $114.

This is the amount Ishaq will sell the shoes to his classmates Angel or Jayden. Therefore, the new price of the shoes is $114 when he increases the price by 20%.

Formula to calculate the profit on a product Profit on a product = (Profit Margin/100) * Cost Price

Selling Price = Cost Price + Profit on a Product.

Therefore, the Selling Price of the Jordans will be:

$95 + [(20/100) * $95]

=> $95 + $19

=> $114.

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It would take Alberto 5.48 hours to pick 40 bushels of apples alone.This is because he has the same amount of time as when he and Aliyah worked together,

If Aliyah and Alberto together took 5.48 hours to pick 40 bushels of apples, then Alberto alone should be able to pick 40 bushels in the same amount of time. Since Aliyah alone took 14 hours to pick 40 bushels, Alberto should be able to pick 40 bushels in a much shorter amount of time. If Alberto works alone, it would take him 5.48 hours to pick 40 bushels of apples. This is because he has the same amount of time as when he and Aliyah worked together and this is how long it took them to pick 40 bushels. Therefore, it would take Alberto 5.48 hours to pick 40 bushels of apples worked together and this is how long it took them to pick 40 bushels. Therefore, it would take Alberto 5.48 hours to pick 40 bushels of apples.

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Answer:

x=31.5

Step-by-step explanation:

30x+1616=2561

30x=2561-1616

30x=945

x=31.5

Hi! I'm happy to help!

To solve this problem, we need to find out what part isn't already listed.

We know that The entire line (SQ) is 80, and the part of the line that isn't RS (QR) is 33.4. The rest of the line must be the difference between 80, and 33.4. To find the difference we use subtraction:

80-33.4

44.6

So, RS is 44.6

I hope this was helpful, keep learning! :D

The calculated length of the segment RS is 46.6

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

R is between Q and S.

QR = 33.4 and SQ = 80

using the above as a guide, we have the following:

QR + RS = QS

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

33.4 + RS = 80

So, we have

RS = 80- 33.4

Evaluate

RS = 46.6

Hence. the length of the segment RS is 46.6

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Answer:

1 real solution

Step-by-step explanation:

y=2x^2−8x+8

We can use the discriminant to determine the number of real solutions

b^2 -4ac

a =2  b = -8  c=8

(-8)^2 - 4(2)(8)

64 - 64

0

Since the discriminant is 0 there is 1 real solution

>0 there are 2 real solutions

< 0 two complex solutions

Answer: \(6x^{2}\) + 24x + 18

Step-by-step explanation: To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

a) The number of grades in the array G is 20. b) The grades greater than 70 in the array G: 83, 75, 82, 76, 85, 71, 96, 78, 76, 72, 75, 83, 93. c) Mean is 73.6, median is 75.5, there is no mode and the standard deviation is 17.84. d) Mean better represents the "most typical grade."

10 To determine the number of grades in the array, we can use the length function in most programming languages. In this case, since the array G is given, the number of grades is the length of the array. Therefore, the number of grades in the array G is 20.

2) To find all the grades greater than 70 in the array G, we can iterate through each element of the array and check if it is greater than 70. Here are the grades greater than 70 in the array G: [83, 75, 82, 76, 85, 71, 96, 78, 76, 72, 75, 83, 93].

3) To compute the mean, median, mode, and standard deviation of the grades in array G, we can use various statistical formulas and functions. Here are the calculations:

Mean: The mean is the average of the grades in the array. To calculate it, we sum up all the grades and divide by the total number of grades.

Mean = (68 + 83 + 61 + 70 + 75 + 82 + 57 + 5 + 76 + 85 + 62 + 71 + 96 + 78 + 76 + 68 + 72 + 75 + 83 + 93) / 20 = 73.6

Median: The median is the middle value of the sorted array. First, we need to sort the grades in ascending order: [5, 57, 61, 62, 68, 68, 70, 71, 72, 75, 75, 76, 76, 78, 82, 83, 83, 85, 93, 96]. Since the number of grades is even, we take the average of the two middle values, which are 75 and 76.

Median = (75 + 76) / 2 = 75.5

Mode: The mode is the value(s) that appear most frequently in the array. In the array G, there is no mode because no grade appears more than once.

Standard Deviation: The standard deviation measures the dispersion or spread of the grades. We can use the formula for population standard deviation to calculate it.

Standard Deviation = \(\sqrt{\)((\((68 - 73.6)^2\) + \((83 - 73.6)^2\) + ... + \((93 - 73.6)^2\)) / 20) ≈ 17.84

4) The measure that better represents the "most typical grade" depends on the distribution of the grades. In this case, since there is no mode (no grade appears more than once), we cannot determine a single grade that represents the most typical. However, we can say that the mean and median give us different insights. The mean takes into account all the grades and provides an average value, while the median represents the middle value and is not affected by extreme values. Therefore, if the distribution is symmetric and does not have outliers, the median may be a better representation of the most typical grade. However, if the distribution is skewed or has outliers, the median may be less representative, and the mean could be influenced by those extreme values.

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The price that maximizes revenue is p = 120.

The price that maximizes revenue, we need to find the value of price (p) that corresponds to the maximum value of revenue (R). Revenue is calculated by multiplying the quantity (q) sold by the price (p), so we can express revenue as R = p × q.

Given the demand function q = -5p + 1200, we can substitute this expression for q into the revenue equation:

R = p × q

R = p × (-5p + 1200)

To find the price that maximizes revenue, we can take the derivative of the revenue function with respect to price (p), set it equal to zero, and solve for p.

dR/dp = -10p + 1200 = 0

Solving this equation for p:

-10p + 1200 = 0

-10p = -1200

p = -1200 / -10

p = 120

Therefore, the price that maximizes revenue is p = 120.

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As the name implies, there are 3 parts or conditions that must be held true in order for the function to be continuous at x = a.

Those three conditions are:

---------------------------

In this case, a = -1 as this is where the junction happens. It's where f(x) swaps identity from the first piece x^2-3 to the second piece 3x+1

To compute f(a), aka f(-1), we'll use the second piece

f(x) = 3x+1

f(-1) = 3(-1)+1

f(-1) = -2

We see that f(a) does indeed exist, so condition (1) is held true.

----------------------------

To compute the limit, we'll need the left hand limit (LHL) and right hand limit (RHL)

The LHL is found by having x approach -1 from the left. So you'll start with something like x = -2, then move to x = -1.5 then to x = -1.1 then to x = -1.01, and so on, getting steadily closer to x = -1. We won't actually arrive at x = -1 itself.

But because x^2-3 is a polynomial, and all polynomials are continuous, we can simply plug x = -1 into this to find that...

y = x^2-3

y = (-1)^2 - 3

y = -2

The input x = -1 leads to the output y = -2 for the first piece. This is the LHL.

We found earlier that x = -1 lead to y = -2 for the second piece. This is the RHL.

Because LHL = RHL, we have proven condition (2) is true. It also means condition (3) is true because f(a) is part of the RHL, more or less.

----------------------------

In layman's terms, we can think of the two curves as roads. For the function to be continuous, the road cannot have any jumps, gaps, or potholes. Condition (1) says that the point must exist, aka there isn't a pothole there. Condition (2) says that the two pieces of the road, on either side of the point in question, must connect together. Hence there are no gaps or jumps. Condition (3) effectively ties everything together.

You might be asking if condition (3) is a bit redundant. Surely if f(a) exists and the limit exists, then that's enough to prove continuity, right? Unfortunately no that's not the case. Consider the situation where the limit exists, but f(a) was some other value. That means we have a removable discontinuity. That point in the road is a pothole but the two roads do connect.

One could argue that conditions (2) and (3) are sufficient, and condition (1) isn't really needed. This is because if condition (3) was the case, then we automatically have shown that f(a) must exist. This is of course assuming we found that the limit exists as well, and it's not plus/minus infinity.

Answer:

1/4, 2/5, 1/2, 3/5

Step-by-step explanation:

1/4=0.25

3/5=0.6

2/5=0.4

1/2=0.5

Answer:

[least]  1/4, 2/5 , 1/2, 3/5 [greatest]

Step-by-step explanation:

Well lets find out LCD (least common denominator) for 4,5 and 2

LCD-20

12/20 =used to be 3/5

5/20=used to be 1/4

10/20=used to be 1/2

8/20=used to be 2/5

Now that you know all of them and have common denominator lets order!!

[least]  1/4, 2/5 , 1/2, 3/5 [greatest]

Hope this helps :3

The geometric description of the set of points in space whose coordinates satisfy the given pair of equations y=0 and z=0 is the x-axis, which is a straight line that passes through the origin of the Cartesian coordinate system.

The geometric description of the set of points in space whose coordinates satisfy the given pair of equations y=0 and z=0 is the x-axis. Thus, the correct answer is option G.A Cartesian coordinate system is a graph that uses geometric concepts to represent points in the plane using two-dimensional or three-dimensional space. Each point on the Cartesian plane is identified by its x-coordinate and its y-coordinate, where the x-coordinate refers to the horizontal position of the point, and the y-coordinate refers to the vertical position of the point.In the given pair of equations y=0 and z=0, the value of y is zero and the value of z is zero. Thus, the only value that could be other than zero is x, and all possible values of x would result in a point that is on the x-axis only. Therefore, the set of points in space whose coordinates satisfy the given pair of equations y=0 and z=0 is the x-axis.The x-axis is a single, straight line running horizontally through the Cartesian plane. The x-axis has an infinite number of points, each with its own unique x-coordinate and a y-coordinate of 0, as well as a z-coordinate of 0 in the case of the three-dimensional Cartesian coordinate system. Thus, the geometric description of the set of points in space whose coordinates satisfy the given pair of equations y=0 and z=0 is the x-axis, which is a straight line that passes through the origin of the Cartesian coordinate system.

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it depends upon a persons pace a average pace is 9-10 mins

Answer: The answer in the blank is 2/5.

Step-by-step explanation: To divide fractions, flip the second fraction's denominator and nominator and then change the sign to a multiplication sign. Multiply. 4/5 x 3/1 = 12/5. Make 12/5 a mixed number. Since 12 can hold 2 fives, the people who created this question placed a 2 before the blank. 2/5 is remaining, so the blank is 2/5.

Answer:

Step-by-step explanation:

1.Collect pairs of data where a relationship is suspected.

2.Draw a graph with the independent variable on the horizontal axis and the dependent variable on the vertical axis. ...

3.Look at the pattern of points to see if a relationship is obvious. ...

4.Divide points on the graph into four quadrants.

Answer:

There is a six out of eight (6/8) chance of it being an even number