Which of the following are factor pairs for 54?select all that apply.

There does not exist a constant C > 0 such that p∞(v) ≤ Cp1(v) for all vectors v in V. Therefore, p1-norm < p2-norm < p∞-norm implies there is no c such that p∞-norm < c p1-norm.

Given two norms, p and q, on a vector space V, we say that p is less than q, written p ≤ q, if there exists a constant C > 0 such that for all vectors v in V,

p(v) ≤ Cq(v)

Now, let's consider the three norms:

   The 1-norm: p1(v) = ∑|v_i|

   The 2-norm: p2(v) = √(∑v_i^2)

   The infinity-norm: p∞(v) = max{|v_i|}

We are given that p1(v) ≤ p2(v) for all vectors v in V and that p2(v) ≤ p∞(v) for all vectors v in V. We want to show that there does not exist a constant C > 0 such that p∞(v) ≤ Cp1(v) for all vectors v in V.

Suppose for the sake of contradiction that such a constant C does exist. Then, for any non-zero vector v in V,

p∞(v) ≤ Cp1(v)

max{|v_i|} ≤ C ∑|v_i|

Since v is non-zero, there exists an index i such that |v_i| > 0. We can divide both sides of the inequality by |v_i| to get:

1 ≤ C ∑|v_j| / |v_i|

Now, since p1(v) ≤ p2(v) for all vectors v in V, we have:

p1(v) = ∑|v_j| ≤ √(∑v_j^2) = p2(v)

So, we can substitute this into the inequality above to get:

1 ≤ C √(∑v_j^2) / |v_i| = Cp2(v) / |v_i|

Finally, since p2(v) ≤ p∞(v) for all vectors v in V, we have:

p2(v) / |v_i| ≤ p∞(v) / |v_i| = 1

So, we have reached a contradiction:

1 ≤ Cp2(v) / |v_i| ≤ C

This contradicts the assumption that C > 0, so there does not exist a constant C > 0 such that p∞(v) ≤ Cp1(v) for all vectors v in V. Therefore, p1-norm < p2-norm < p∞-norm implies there is no c such that p∞-norm < c p1-norm.

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Answer:

13 basketballs

Step-by-step explanation:

In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.

To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.

Here are the vocabulary words and their corresponding examples:

Vocabulary Word: In-state

Example: A student who is a resident of the same state where the university is located.

They pay lower tuition fees compared to out-of-state or foreign students.

Vocabulary Word: Out-of-state

Example: A student who is not a resident of the state where the university is located.

They typically pay higher tuition fees compared to in-state students.

Vocabulary Word: Foreign

Example: A student who is from a country other than the country where the university is located.

They are international students who may have different visa requirements and tuition fees.

To match these vocabulary words with their corresponding examples:

In-state: A student from the same state as the university, paying lower tuition fees.

Out-of-state: A student from a different state than the university, paying higher tuition fees.

Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.

By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.

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Given : ABCD is a square with each side 5cm .

To Find : The area of the shaded region .

Solution : On observing the figure we can see two quadrants , quadrant ADC & quadrant ABC .

If we join A to C , then it will be common for triangles ADC & ABC . And they will be congruent by SSS congruence condition.

Therefore the area of both quadrants will also be equal . Now we can find area of quadrant as ;

\(\large\boxed{\red{\bf Area_{quadrant}=\dfrac{\pi r^2}{4}}}\)

Here radius will be equal to 5cm .

⇒ Area = πr² / 4 .

⇒ Area = π (5cm)² / 4 .

⇒ Area = 22/7 × 25 × 4 cm².

⇒ Area = 19.64 cm² .

So , total area of both quadrants = 39.28 cm² .

Also , area of square will be :

\(\large\boxed{\bf{\red{Area_{square}=(side)^2}}}\)

⇒ Area = 5cm × 5cm .

⇒ Area = 25 cm².

Now , subtract area of one quadrant from the area of square = 25cm² - 19.64 cm² = 5.36 cm².

Similarly area of other white region = 5.36cm² .

And the areas sum will be = 5.36cm² × 2 = 10.72cm² .

Now , from the figure it's clear that ,

⇒ Area of unshaded region + Area of shaded region = 25cm².

⇒ 10.72cm² + ar( Shaded region ) = 25cm².

⇒ ar ( Shaded region ) = 25cm² - 10.72cm².

⇒ ar ( Shaded region ) = 14.28 cm².

Hence the area of shaded region is 14.28 cm².

\(\large\boxed{\red{\bf Answer = 14.28cm^2}}\)

Given,

Nepali speaker : 80% (Y)

Maithili speaker : 60% (X)

We know that,

Both language speaker = Y -X

Now,

Y- X

= 80- 60

= 20

Therefore, 20% people speak both languages

The perimeter of the rhombus in this problem is given as follows:

19.8 units.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The diagonal length can be obtained as follows:

RU + UT = 7.

Applying the Pythagorean Theorem, the side length is obtained as follows:

x² + x² = 7²

2x² = 49

\(x = \sqrt{\frac{49}{2}}\)

x = 4.95.

Then the perimeter is given as follows:

P = 4 x 4.95

P = 19.8 units.

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Given the following data,

The equation of the hyperbola is,

where,

Ignoring the plus and negative sign of the slope,

Substituting the values into the equation of the hyperbola inorder to solve for the center,

Answer: 41

Step-by-step explanation:

Answer:

3 - 9g = -8g + 4

-9g + 8g = 4 -3

g = -1

Answer:

The perimeter of rectangle is 48 cm.

Step-by-step explanation:

First, you have to form an expression for the length and the width. Let x be the width :

width = x cm

length = 3 × x = 3x cm

Then, you have to apply area of rectangle formula, A = length × width to find the value of x.Let area equals to 108 :

A = length × width

108 = 3x × x

3x² = 108

x² = 108 ÷ 3

x² = 36

x = √36

x = 6 cm

Lastly, you have to find perimeter :

length = 3 × 6 = 18 cm

width = 6 cm

Perimeter = 2(length + width)

P = 2(18 + 6)

P = 2(24)

P = 48 cm

Answer:

48cm

Step-by-step explanation:

Answer:

slope=2

Step-by-step explanation:

the line is negative since it's downwards, and the slope goes 2 down and 1 right to meet the next point. -2/1=-2

The slope of the given graph is -2.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Points from the graph (1, 0) and (0, 2).

So, the slope of line

= ( 2- 0) / (0 -1)

= 2 / (-1)

= -2/1

= -2

Hence, the slope of graph is -2.

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Answer:

d) 1/12

Step-by-step explanation:

Answer:

1. x=34

2. c=8

3. x=9

4. m=32

That the answer for all 4.

Step-by-step explanation: Hope this help :D

Answer:

-15x + 30

Step-by-step explanation:

Using the distributive property, distribute -3 to the parentheses:

-3(5x) = -15x

-3(-10) = 30

Add these terms together:

-15x + 30 is the rewritten expression

Answer:

-15x + 30

Step-by-step explanation:

-3*5 = -15 and -3 * -10 equals 30 also negative times a negative is always a positive number

High Hopes ^^

Barrys

Answer:

-1.5

Step-by-step explanation:

The expressions k to t are evaluated correctly

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

The expressions k to t

To determine if the expressions are correct, we evaluate each expression and state if it is correct or not

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

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2y ≤ 8

2- Yes, 2(2) ≤ 8

3- Yes, 2(3) ≤ 8

4- Yes, 2(4) ≤ 8

5- No, 2(5) ≤ 8

6- No, 2(6) ≤ 8

Answer:

When hot chocolate sales increase, so do coffee sales, but the sale of one does not increase the other. There were just more customers that day.  

Step-by-step explanation:

Answer:

X+4=Y

So lets look at the first one,

X=0

So 0+4=4

So Y=4

The exact values of the remaining trigonometric functions of θ are:

sin(θ) = √(1/64)

cos(θ) = -8

tan(θ) = -8√(1/64)

csc(θ) = 1

cot(θ) = -√(1/64) / 8

Given that sec(θ) = -8 and sin(θ) > 0, we can find the exact values of the remaining trigonometric functions using the Pythagorean identity:

sec^2(θ) = 1/sin^2(θ)

Substituting the value of sec(θ), we have:

(-8)^2 = 1/sin^2(θ)

64 = 1/sin^2(θ)

sin^2(θ) = 1/64

sin(θ) = ±√(1/64)

Since sin(θ) > 0, we take the positive square root:

sin(θ) = √(1/64)

Next, we use the reciprocal identity for cosecant:

csc(θ) = 1/sin(θ)

Substituting the value of sin(θ), we have:

csc(θ) = 1/√(1/64) = 8√(1/64) = 8/√(64) = 8/8 = 1

Next, we use the reciprocal identity for cotangent:

cot(θ) = 1/tan(θ)

We can find the value of tan(θ) using the definition:

tan(θ) = sin(θ) / cos(θ)

Substituting the values of sin(θ) and cos(θ), we have:

tan(θ) = √(1/64) / (-8) = -√(1/64) / 8

Finally, we use the reciprocal identity for a tangent:

tan(θ) = 1/cot(θ)

Substituting the value of cot(θ), we have:

tan(θ) = -8√(1/64)

Therefore, the exact values of the remaining trigonometric functions of θ are:

sin(θ) = √(1/64)

cos(θ) = -8

tan(θ) = -8√(1/64)

csc(θ) = 1

cot(θ) = -√(1/64) / 8

The complete question is:-

Find the exact value of each of the remaining trigonometric functions of

θ. Rationalize denominators when applicable.

secθ=−8, given that sinθ>0

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In respοnse tο the given questiοn, we can state that This signifies that 3 equatiοn οut οf every 10 apples sοld were red, οr that the red apple percentage was 3/10.

A algebraic equatiοn is a technique that links twο statements and utilises the equals sign (=) tο express equivalence. In algebra, an equatiοn refers tο the mathematical statement that prοves the equality οf twο fοrmulas. Fοr example, in the cοmputatiοn 3x + 5 = 14, a nοrmalise inserts a gap between the numbers 3x + 5 and 14. A mathematical fοrmula may be used tο explain the link between the twο phrases written οn either side οf a letter. The emblem and the prοgramme are usually the same. Fοr example, 2x - 4 equals 2.

Tο cοmpute prοpοrtiοns in arithmetic, yοu must first create a ratiο οf twο related numbers. Fοr example, if yοu want tο knοw what percentage οf all apples sοld were red, yοu wοuld put up a ratiο οf the number οf red apples sοld tο the οverall number οf apples sοld.

Assume that 200 apples were sοld in tοtal, with 60 οf them being red. Tο get the prοpοrtiοn οf red apples, use the fοllοwing fοrmula:

60 / 200 = red apples / tοtal apples

3/10 = red apples / tοtal apples

This signifies that 3 οut οf every 10 apples sοld were red, οr that the red apple percentage was 3/10.

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Complete question:

Assume that 200 apples were sοld in tοtal, with 60 οf them being red.

What is proportion of red apples?

Answer:

B

Step-by-step explanation:

The error that was made in finding the area of the circle is that diameter was used for radius. The correct area of the circle is: 113.10 ft²

The formula for area of a circle is expressed as:

A = πr²

where:

A is Area

r is radius

From the given circle, we are given the diameter as 12.

But radius = diameter/2 = 12/2

radius = 6

Thus, the error is that they used the diameter as radius.

Correct area of circle = π * 6²

= 36π

= 113.10 ft²

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Answer:

Yeah if you want too

Step-by-step explanation:

It depends if its school or personal

I'm using it on my own laptop

Step-by-step explanation:

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Hi there!

When two events are independent:

P(E ∩ F) = P(E) · P(F)

Thus:

P(E ∩ F) = 0.15 · 0.48 = 0.072

Answer:6/5 or 1.2

Step-by-step explanation:

4/5 divided by 2/3

=4/5 *3/2

=12/10

=6/5

=1.2

Answer:

True

Step-by-step explanation:

An absolute function can be re-written as:

\(|x| = \left \{ {{x} \quad \ \ \ \text{if} \ x \geq \ 0\atop {-x} \quad \text{if} \ x < 0} \right.\)

That is the form of a piecewise function.

An equation that describes the graph include the following: C. y = |x – 1| + 2.

In Mathematics and Geometry, the translation of a graph to the right simply means adding a digit to the numerical value on the x-coordinate of the pre-image while the translation of a graph upward simply means adding a digit to the numerical value on the y-coordinate (y-axis) of the pre-image.

Since the parent function is f(x) = |x|, g(x) or y would be created by translating f(x) one (1) unit to the right and two units upward as follows;

f(x) = |x|

g(x) = f(x - 1) + 2

y = |x – 1| + 2

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.