What is 18 2/3 divided by 4?

Answer:

6.25 cm

Step-by-step explanation:

Volume of cuboid = 450 cm^{2}

length * width * height = 450

9 * 8 * height = 450

72 * height = 450

        height = 450/72 = 6.25 cm

Work Shown:

length*width*height = volume

9*8*h = 450

72h = 450

h = 450/72

h = 6.25

Answer: Find -3 1/2 on the x axis (horizontal line) and then go up to 4 and 3/4 on the y axis (vertical line)

Step-by-step explanation:

Above.

give brainliest if correct :)

Answer:

Below!

Step-by-step explanation:

The point given should be compared with (x, y)

When comparing the points, we can see that the point on the x-axis is going to be -7/2 and the point on the y-axis is going to be 19/4. Before you plot the point, always plot the x-axis first. Now, please look at my graph to understand the concept better. In this graph, I first plotted the point on the x-axis, then I plotted another point on the y-axis. Now with the help of the two points, join the points together to get your plotted point.

Answer:

y = 4x + 5

Step-by-step explanation:

The equation of the line is y = 4x + 5.

The slope of the line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Given,

We have to determine the equation of the line parallel to y = 4x + 3 that passes through the point (-2,-3)

Let the required line would be y = mx + c

We have been that line y = 4x + 3 passes through the point (-2,-3)

Substitute the values of x = -2 and y = -3 in the equation,

So, -3 = 4(-2) + c

⇒ c = 5

The new line will have the same slope because both lines are parallel to each other.

Therefore m = 4

Now substitute the values of m = 4 and c = 5 in the required line,

⇒ y = 4x + 5.

Hence, the equation of the line is y = 4x + 5.

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The standard error of the sample proportion is approximately (b) 0.0306

The standard error of the sample proportion is a measure of the variability or uncertainty in the sample proportion, which is an estimate of the true proportion in the population. It represents the standard deviation of the sampling distribution of sample proportions, which is the distribution of sample proportions that would be obtained if we took many random samples of the same size from the same population.

The standard error of the sample proportion can be calculated using the formula:
Standard Error  = √(p(1-p)/n)
Where:
- p is the sample proportion
- n is the sample size

In this case, p = 0.25 and n = 200, so:
Standard Error = √(0.25(1-0.25)/200)
Standard Error = √(0.1875/200)
Standard Error = √(0.0009375)
Standard Error = 0.0306
Therefore, the correct answer is (b) 0.0306.
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The dimensions of the painting are 24 feet by 32 feet. Given the perimeter of the painting is 112 feet. Let the width be x feet. The length is 8 feet more than its width, therefore, the length = x + 8 feet. Perimeter of a rectangle = 2 (l + w).

Substitute x + 8 for l and x for w in the above equation : 2 (l + w)

= 2 (x + 8 + x)

= 4x + 16 feet

But given the perimeter of the painting is 112 feet4x + 16

= 112 feet

Subtract 16 from both sides of the above equation

4x = 112 - 16

= 96

Divide both sides by 4x = 24

The width of the painting is 24 feet

The length of the painting = x + 8

= 24 + 8

= 32 feet

Therefore, the dimensions of the painting are 24 feet by 32 feet.

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Answer:

Elon Musk

Step-by-step explanation:

He just became the richest person in the world with a networth of $185 billion. Passing Jeff Bezos who has a networth of $184 billion.

Answer:

Step-by-step explanation:

hope it helps and have a great day!

The volume of the second pan of Lin based on the dimensions of the pan is 9 inches³

The volume of second pan will be calculated using the mentioned dimensions related to each other by the below mentioned formula -

Volume = length × width × height

Firstly converting mixed fraction to fraction

Width = (4×1)+5/4

Width = 9/4 inches

Keeping the values in formula to find the volume of the second pan

Volume = 8/3 × 9/4 × 3/2

Performing multiplication on Right Hand Side of the equation

Volume = 9 inches³

Thus, the volume is 9 inches³.

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There are total 35 students in the class.

Given that,

Vikas ranks 9th in the class,

Assume that there are 'n' number of students in the class  

Therefore,

There are 8 students who have scored better than him.

So, The total number of students with a rank better or equal to Vikas,

= 8 + 1 (Vikas himself)

= 9.

Now, his friend got the 35th rank which is the last rank

This means that there are a total of 35 students in the class.

Also, also given that,

Vikas's rank from the last is 27th,

This means that there are 26 students who have scored lower than Vikas.

So, the total number of students with a rank worse or equal to Vikas,

= 26 + 1 (Vikas himself)

 = 27.

Therefore, The total number of students in the class = 35.

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Answer:

A

Step-by-step explanation:

x=

−b±√b2−4ac

2a

x=

−(2)±√(2)2−4(2)(15)

2(2)

x=

−2±√−116

4

and there is really no solution

Answer:

4

Step-by-step explanation:

4x +8 = 7x -4

3x = 12

x = 4

pls mark brainiest :)

The other x-intercept of the given ellipse cannot be determined with the information provided. The equation of the ellipse depends on the lengths of the semi-major and semi-minor axes, which are not specified. Therefore, there are multiple ellipses that can satisfy the given conditions, resulting in different values for the other x-intercept.

To find the x-intercepts of the ellipse, we need to determine the equation of the ellipse first. The standard form equation of an ellipse with foci at  (h, k ± c) and x-intercepts (h ± a, k) is given by:

((x - h)² / a²) + ((y - k)² / b²) = 1

Where (h, k) represents the center of the ellipse, a is the semi-major axis length, b is the semi-minor axis length, and c represents the distance from the center to each focus.

In this case, the center of the ellipse is at (h, k) = (1.5, 1), and the distance between the center and each focus is given by c = 2.

Substituting these values into the equation, we have:

((x - 1.5)² / a²) + ((y - 1)² / b²) = 1

Now, since one of the x-intercepts is at the origin (0, 0), we can substitute these values into the equation to solve for a and b:

((0 - 1.5)² / a²) + ((0 - 1)² / b²) = 1

(2.25 / a²) + (1 / b²) = 1

Simplifying this equation, we get:

2.25 / a² + 1 / b² = 1

Now, we need to find the other x-intercept, which means finding the value of x when y is 0. Substituting y = 0 into the equation, we have:

((x - 1.5)² / a²) + ((0 - 1)² / b²) = 1

(x - 1.5)² / a² + 1 / b² = 1

Since one of the x-intercepts is at the origin, we know that x = 0 satisfies this equation:

(-1.5)² / a² + 1 / b² = 1

2.25 / a² + 1 / b² = 1

Now we have two equations:

2.25 / a² + 1 / b² = 1  (Equation 1)

2.25 / a² + 1 / b² = 1 (Equation 2)

Both equations are the same, so we can combine them:

2.25 / a² + 1 / b² = 1

Since both equations are identical, there are infinite solutions for a and b that satisfy this equation. Therefore, there is no unique value for the other x-intercept of the ellipse.

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The complete question is :

An ellipse has foci at (0,2) and (3,0). The ellipse has two x-intercepts, one of which is the origin. What is the other x-intercept?

Answer:

The value of x that will result for the rational expression to be undefined will be the values that will give 0 value for the denominator.

Step-by-step explanation:

A. 7

2(7)^2 -32 = 66

B. 4

2(4)^2 -32 = 0 -------> undefined

C. 2

2(2)^2 -32 = -24

D. -2

2(-2)^2 -32 = -24

E. -4

2(-4)^2 -32 = 0 -------> undefined

F. -7

2(-7)^2 -32 = 66

Answer:I believe is $75

Step-by-step explanation:

If you see in the graph is between 50 and 100

50 divided by two is 25 which means

50+25=75

Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store.

Michael is trying to determine where to open two new store locations. He has population data to determine the amount of revenue he will receive for each location.

He is charged a $1000 fee for opening a new store at a certain location. However, he is unsure whether the population of the city would be large enough to warrant opening a new store at that location.

The first step that Michael needs to take is to analyze the population data that he has.

Based on the population data, he needs to make an informed decision about whether or not to open a new store at that location. This would require him to take into consideration the average income of the population as well as the demographics of the city.

Another important factor that Michael needs to take into consideration is the competition in the area. If there are already several stores in the area, then opening a new store might not be a good idea.

This is because the competition would be too high and he would not be able to generate enough revenue to make up for the cost of opening a new store.

However, if there are no stores in the area, then Michael might consider opening a new store. This would require him to invest a significant amount of money, but he could also generate a significant amount of revenue in return.

Additionally, he needs to take into consideration the cost of opening a new store and whether or not he can generate enough revenue to make up for that cost.

Overall, Michael needs to carefully analyze all the data that he has before making an informed decision about where to open new store locations.

In conclusion, Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store. If the population is large enough and there is no competition in the area, then he should consider opening a new store. However, if there is already a significant amount of competition in the area, then he should avoid opening a new store.

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Answer:

100π - (96 + (13/2)√231 ) m^2

Step-by-step explanation:

We will solve this by finding the area of the triangles (the quadrilateral is cut by the diameter) and subtract it from the area of the circle.

There is a circle theorem which states that if a triangle is in the semicircle and the hypothenuse extends to the length of the diameter, the angle at B here is 90 degrees.

Since angle B is 90 degrees we can use the Pythagorean theorem (a^2 + b^2 = c^2) to find Line AC.

so 144 + 256 = 400

√400 = 20

So diameter is 20

Finding the area of the top triangle:

1/2(12x16) = 96cm^2

For the bottom triangle, we need the side DC to find the area. To find it we will apply the theorem once again.

400 = 169 + DC^2

DC^2 = 231

DC = √231

so the area of the bottom triangle is 1/2(13√231) = (13/2)√231

Now we add the area of the triangles for the quadrilateral and subtract from the circle area.

The circle area is 100π (πr^2)

Hence, the area of the shaded region is:

100π - (96 + (13/2)√231 ) m^2

Answer:625

Step-by-step explanation:

Answer:

5 by 2

Step-by-step explanation:

It makes sense because:

Area: 5x2= 10 square feet

Perimeter: 5+5+2+2= 14 feet

Given:

\(\begin{aligned}&x^2+y^2=16 \\&z=x y\end{aligned}\)

Express 16 as \(4^{2}\): \(x^2+y^2=16\)

\(x^2+y^2=4^2\\x^2+y^2=4^2 \times 1\)

Trignometry,

\(\cos ^2(t)+\sin ^2(t)=1\)

Now, substitute \(\cos ^2(t)+\sin ^2(t)\) for 1:

\(\begin{aligned}&x^2+y^2=4^2 \times 1 \\&x^2+y^2=4^2 \times\left[\cos ^2(t)+\sin ^2(t)\right]\end{aligned}\\x^2+y^2=4^2 \times \cos ^2(t)+4^2 \times \sin ^2(t)\)

Law of indicates:
\(\begin{aligned}&x^2+y^2=[4 \times \cos (t)]^2+[4 \times \sin (t)]^2 \\&x^2+y^2=[4 \cos (t)]^2+[4 \sin (t)]^2\end{aligned}\\x^2=[4 \cos (t)]^2 \text { and } y^2=[4 \sin (t)]^2\)

Taking positive square roots as follows:

\(x=4 \cos (t), y=4 \sin (t)\)

Recall that, z = xy.

Now, we have:

\(\begin{aligned}&z=4 \cos (t) \times 4 \sin (t) \\&z=16 \cos (t) \cdot \sin (t)\end{aligned}\)

Now, substitute the values:
\(r(t)=x_t i+y_t j+z_t k\)

So, the vector r(t) is: \(r(t)=(4 \cos (t)) i+(4 \sin (t)) i+(16 \cos (t) \cdot \sin (t)) i\)

Therefore, the vector function r(t) is written as: \(r(t)=x_t i+y_t j+z_t k\)

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The value of n that satisfies each equation are fractions or integers  n = 5/2, n = (log3(4/9) + 2)/(-4) and n = 7/4.

What is fraction ?

A fraction is a mathematical expression that represents a part of a whole or a ratio of two quantities. It consists of two numbers, one on top of the other, separated by a horizontal or diagonal line. The number above the line is called the numerator and the number below the line is called the denominator.

According to the question:
a. \(4\sqrt(2) = 2 ^ n\)

We can write \(4\sqrt(2)\) as \(2^2 * \sqrt(2)\). Therefore, we can rewrite the equation as:

\(2^2 * \sqrt(2) = 2^n\)

We can simplify this to:

\(2^{2 + 1/2} = 2^n\)

\(2^{5/2} = 2^n\)

To solve for n, we can take the logarithm of both sides of the equation with base 2:

\(log2(2^(5/2)) = log2(2^n)\)

5/2 = n

Therefore, n = 5/2.

b. \(1/( \sqrt[4]{9} ) = 3 ^ n\)

We can simplify root(9, 4) to:

\(\sqrt[4]{9} = (4/9) ^ {1/4}\)

Substituting this into the equation gives:

\(1/((4/9)^{1/4}) = 3^n\)

Taking the reciprocal of both sides of the equation gives:

\((4/9)^{1/4} = 3^{-n}\)

Raising both sides of the equation to the fourth power gives:

\(4/9 = 3^{-4n}\)

Multiplying both sides of the equation by 9 gives:

\(4 = 9 * 3^{-4n}\)

Dividing both sides of the equation by 9 gives:

\(4/9 = 3^{-4n-2}\)

Taking the logarithm of both sides of the equation with base 3 gives:

\(log3(4/9) = -4n - 2\)

Solving for n gives:

\(n = (log3(4/9) + 2)/(-4)\)

Therefore, n = (log3(4/9) + 2)/(-4).

c.\(\sqrt[4]{32} * \sqrt[4]{8} = 2 ^ n\)

We can simplify root(32, 4) and root(8, 4) to:

\(\sqrt[4]{32} = 2\)

\(\sqrt[4]{8} = 2^{3/4}\)

Substituting these values into the equation gives:

\(2 * 2^{3/4} = 2^n\)

Multiplying the two terms on the left-hand side of the equation gives:

\(2^{7/4} = 2^n\)

To solve for n, we can take the logarithm of both sides of the equation with base 2:

\(log2(2^{7/4}) = log2(2^n)\)

7/4 = n

Therefore, n = 7/4.


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The equation that represents the relationship between the number of square feet painted (y) and the number of gallons of paint used (x) can be expressed as follows:

\(\displaystyle\sf y = kx\),

where \(\displaystyle\sf k\) represents the constant of proportionality.

In this specific scenario, MaryAnne painted 600 square feet of wall space using 1 1/2 gallons of paint. To find the value of \(\displaystyle\sf k\), we can substitute the given values into the equation:

\(\displaystyle\sf 600 = k \cdot \left( \frac{3}{2} \right)\).

To solve for \(\displaystyle\sf k\), we can multiply both sides of the equation by \(\displaystyle\sf \frac{2}{3}\):

\(\displaystyle\sf \frac{2}{3} \cdot 600 = k\),

\(\displaystyle\sf k = 400\).

Therefore, the equation representing the relationship between the number of square feet painted (y) and the number of gallons of paint used (x) is:

\(\displaystyle\sf y = 400x\).

The matrix that shows the prices in U.S. dollars is:

[1.81  6.32  0.56 0.36]

Here we have a simple row matrix which can be written as:

[80  280  25  16]

You can see this as a row vector or something like that, notice that if we multiply this by an scalar, we just need to multiply each element by an scalar.

Now, we know that:

1 dollar = 44.32 Nu

then:

1 Nu = (1/44.32) dollars.

So to get the matrix in dollars, just multiply each number by (1/44.32), then we will get:

(1/44.32)*[80  280  25  16] = [80/44.32  280/44.32  25/44.32  16/44.32]

= [1.81  6.32  0.56 0.36]

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The greatest common factor of their product is 2

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

GCF of 2x - 4 = 2

GCF of 4 * 8  = 4

Using the above as a guide, we have the following expressions

GCF of 2x - 4 = 2

GCF of 4 * 8  = 2  * 2

Write out the common factors

GCF = 2

This means that the GCF is 2

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Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

Answer: C. y=1/5x+1

Step-by-step explanation:

the answer will be thirty three cm.

Answer: I will say it’s C because if you decide 8 by both sides 8 and cancel out 204.8/8=25.6, so it gives the answer of m=25.6.

-by-step explanation:

The standard form of the equation of f(x) is option a -x² - 6x + 7

Given,

The graph shows a downward open parabola.

The vertex points are:

(-3, 16), (-7, 0), (1, 0), (-6, 7), (0, 7)

Now,

We have to find the standard form of the function f(x):

As from the graph:

Parabola opens downward, so the function will be negative.

We have the options with:

a = -1, b = -6 and c = 7

Now,

Use x = -b/2a

x = 6/2 × -1 = 6/-2 = -3

Now,

f(x) = -x² - 6x + 7

f(-3) = -(-3)² - 6(-3) + 7

f(-3) = -9 + 18 + 7

f(-3) = 9 + 7

f(-3) = 16

That is, the points for the vertex in this equation is (-3, 16)

Then, the standard form of the equation of f(x) is option a -x² - 6x + 7

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The expression that is equivalent to \(Cos(\frac{\pi }{2}+r )\) is \(-Sinr\).

Given trigonometric expression is:

\(Cos(\frac{\pi }{2}+r )\)

The value of \(Cos(\frac{\pi }{2}+\theta )\) is \(-Sin\theta\) because \(\frac{\pi }{2} +\theta\) lies in the second quadrant and the cosine function is negative in the second quadrant.

So, \(Cos(\frac{\pi }{2}+r )= -Sin r\)

The range of sine and cosine functions is the same i.e. [-1,1].

Both the functions are periodic functions with periods 2π.

Hence, the expression that is equivalent to \(Cos(\frac{\pi }{2}+r )\) is \(-Sinr\).

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