Every _____ tessellates

Answer:

k=1/4

Step-by-step explanation:

x² - 5kx+ k=0  ....(1)

suppose 2 roots: a and 4a

(x-a)(x-4a)=0

x² - 5ax + 4a² = 0 ....(2)

compare (1) and (2): -5a = -5k              a=k

4a² = k                4a² = a   (substitute)

a(4a-1) = 0

a = 0 or a = 1/4        (if a=0   k=0 and x=0 is not the solution)

a = 1/4      k = 1/4

(a₂ = 1/4 * 4 = 1)

Answer:

k = 1/4.

Step-by-step explanation:

Let the roots be  r and 4r   and using the fact that sum of the roots = -b/a and product = a/c, we have:

r + 4r = -(-5k)

r*4r = k

5r = 5k

4r^2 = k

From the 3rd equation:

r = k, therefore:

4k^2 = k

4k = 1

k = 1/4.

Answer:

C. 63 yd³. I took the test.

Step-by-step explanation:

3(3a+4b)+4(2a-5b)

=9a+12b+8a-20b

=17a-8b

The value of x is the sum of angle ABO and angle CDO because they are the acute angles made out of parallel lines.

Parallel lines are lines that are always the same distance apart and never intersect. They maintain a constant distance from each other as they extend indefinitely in both directions

Recall one of the theorem:

- Alternate angles made by 2 parallel lines are always equal.

Applying this theorem,

angle ABO + angle CDO = angle BOD

50° + 30° = x°

x° = 80°

Learn more about parallel line here:

https://brainly.com/question/26961508

#SPJ1

Answer:

y:3 4

Step-by-step explanation:

\(\sqrt{34} x \sqrt{y} :34\\\sqrt{34y}:34\\34y:1156\\\)

\(y:34\\\sqrt{34} \sqrt{34}:34\\ 34:34\\y:34\)

Answer:

$15.44 each

Step-by-step explanation:

First let's add the tip. 18% = 0.18.

52.35 x 0.18 = 9.42.

Add the tip to the total.

9.42 + 52.35 = $61.77.

The problem says that it's Mark and his 3 friends. So there are 4 people total.

Divide the total bill (including tip) by 4.

$61.77/4 = $15.44 each.

Answer:

10

Step-(by-step explanation:

(9-3)+(1-9)

(6)^2 + (-8)^2

36 + 64

= 100 square root of 100 is 10

hope I helped!!

Answer:

10

Step-by-step explanation:

\(\sqrt{(x_{2} -x_{1})^2+ (y_{2} -y_{1})^2}\)

\(\sqrt{(9-3)^{2} +(1-9)^2} =10\)

I hope this helps.

Answer:

my answer is A

Step-by-step explanation:

if you work out the equation where you know that at the x intercept y=0 you will find A to be true

Answer: 10

Step-by-step explanation:

Geometrically, S represents a plane in ℝ^3 that is orthogonal (perpendicular) to the vector m.

To establish that S is a subspace of ℝ^3, we must confirm that S is closed under vector summation and scalar multiplication.

A pertinent theorem from linear algebra that can be applied here is the "Subspace Criterion" theorem. This principle states that a non-empty subset S of a vector space V is a subspace if and only if it fulfills the following conditions:

For any vectors a, b ∈ S, their addition a + b ∈ S.

For any vector a ∈ S and any scalar k, the product ka ∈ S.

Now, let's define a vector m = v - e.

Observe that for any y in S, we have:

m • y = (v - e) • y = (v • y) - (e • y) = 0.

This implies that y is orthogonal to the vector m.

Geometrically, S represents a plane in ℝ^3 that is orthogonal (perpendicular) to the vector m.

As the plane is closed under vector summation and scalar multiplication, S is indeed a subspace of ℝ^3.

Read more about vector here:

https://brainly.com/question/28047791

#SPJ1

Suppose v = (2, 4, 5) and e = (6, 7, 3) are a pair of vectors in ℝ^3. Let S be the collection of all y in ℝ^3 such that the inner product of v and y equals the inner product of e and y (i.e., v • y = e • y).

What principle can be utilized to demonstrate that S is a subspace of ℝ^3? Describe S in geometric terms.

The random variation that occurs in any time series is called the irregular component.

The irregular component refers to the random fluctuations or unpredictable patterns that are observed in a time series. It represents the unexplained variability in the data that cannot be attributed to any identifiable pattern, such as seasonal patterns, cyclical effects, or trends. It is often characterized by short-term fluctuations that occur randomly and do not follow a specific pattern or trend.

Learn more about variation

brainly.com/question/17287798

#SPJ11

The measure of the arc CH is 22 degrees

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

The circle

Where we have

AC = 158

CH = ?

Angle X = 68

The measure of arc CH can be calculated using

The arc between intersecting secants theorem

So, we have

X = 1/2(AC - CH)

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

1/2(158 - CH) = 68

So, we have

158 - CH = 136

This gives

CH = 158 - 136

Evaluate

CH = 22

Hence, the measure of the arc CH is 22 degrees

Read more about angles at

https://brainly.com/question/25716982

#SPJ1

Answer: 2π x radius

Step-by-step explanation:

The circumference of a circle is defined as the linear distance around it. In other words, if a circle is opened to form a straight line then the length of that line will be the circle's circumference.

The equation y - 4 = -2(x - 1) in slope-intercept form include the following: C. y = -2x - 2.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

By making the variable "y" the subject of formula, we have the following:

y - 4 = -2(x - 1)

y = -2x + 2 - 4

y = -2x - 2

Therefore, the slope (m) is equal to -2.

Read more on slope here: brainly.com/question/23086745

#SPJ1

Answer:

The range of 2x+329:

\(\mathrm{Range\:of\:}2x+329:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}\)

Step-by-step explanation:

Given the expression

\(2x+329\)

We know that range is termed as the set of values of the dependent variable for which a function is defined.

       i.e. \(-\infty \:<f\left(x\right)<\infty \:\)

The given expression is a polynomial with an odd degree. Hence, the range of this expression will be all the real numbers.

Thus, the range of 2x+329:

\(\mathrm{Range\:of\:}2x+329:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}\)

The grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.

To determine the number of trees the plum grower should plant per acre to maximize her harvest, we can set up an equation and use calculus to find the optimal solution. Let's denote the number of additional trees planted as x.

The yield of each tree can be represented by the equation:

Yield = 126 - 2x

The total yield per acre is then given by:

Total Yield = (26 + x) * (126 - 2x)

To maximize the harvest, we need to find the value of x that maximizes the total yield. We can achieve this by finding the maximum point of the quadratic equation representing the total yield.

Differentiating the equation with respect to x and setting it equal to zero, we can find the critical point:

d(Total Yield)/dx = -4x + 252 - 2(26 + x) = 0

Simplifying the equation, we get:

-4x + 252 - 52 - 2x = 0

-6x + 200 = 0

x = 200/6

x ≈ 33.33

Since we cannot have a fraction of a tree, the grower should plant 33 additional trees per acre to maximize her harvest. This gives a total of 26 + 33 = 59 trees per acre.

To find the maximum harvest, we substitute the value of x into the equation for the total yield:

Total Yield = (26 + 33) * (126 - 2 * 33)

Total Yield ≈ 59 * 60

Total Yield ≈ 3540 bushels

Therefore, the grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.

Learn more about harvest here:

brainly.com/question/16953777

#SPJ11

Answer:

(H)

Step-by-step explanation:

Less than signs are <

Greater than signs are >

Since in this case x is the number

7 has to be less than x which is x<7

Answer:

f

Step-by-step explanation:

Answer:

The answer is 16 in. sq.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

16in²

Step-by-step explanation:

SA=2²+4(1/2)(2)(3)

=4+12

SA=16 in²

hope it helps..

have a great day!!

The probability of correctly rejecting the null hypothesis when the null hypothesis is false is the power

From the question, we have the following highlights

The statement that represents the probability of the above highlights is power

Hence, the statement that completes the blank is power

Read more about probability at:

https://brainly.com/question/11234923

#SPJ1

The age of the rock is 4.5 billion years. Since the ratio of the remaining amount of uranium-238 is half of the original amount.

What is decay?

The half-life of a quantity is the time it takes to reduce to half of its initial value. In nuclear physics, the term is commonly used to describe how quickly unstable atoms undergo radioactive decay or how long stable atoms survive. The term is also used to describe any type of exponential decay in general.

Given that a rock that originally had a mass of 1.00 gram.

The formula of decay is

A(t) = A₀ (0.5)^(t/ti)

Putting A₀ = 1.00 gram, A(t) = 0.50 gram, ti = half life = 4.5  billions = 4500000000.

0.50 = 1 (0.5)^(t/4500000000)

0.5 = (0.5)^(t/4500000000)

Taking logarithm function on both sides:

log (0.5) = log[(0.5)^(t/4500000000)]

Applying the power rule of logarithm:

log (0.5) = (t/4500000000)]log[(0.5)

Cancel out log (0.5) from both sides:

1 = t/4500000000

t = 4500000000

t = 4.5 billions

To learn more about half-life, click on the below link:

https://brainly.com/question/13656440

#SPJ1

Answer:

Use dezmos

Step-by-step explanation:

Answer: 30

Step-by-step explanation:

3(0.3m + 6) + m =75

(0.3 x 3 = 0.9)

(6 x 3 = 18)

0.9m + 18 + m = 75

0.9m + m + 18 = 75

(m=1)

1.9m + 18 = 75

1.9m = 75 - 18

1.9m = 57

m = 57÷ 1.9

m = 30

Answer:

The Answer is 8.

Its the only Number that Multiplies itself three times to give 512.

So the Cube root of 512... Should be 8.

Answer:

8.

Step-by-step explanation:

512 = 64* 8

∛512 = ∛64 * ∛8

= 4 * 2

= 8.

Answer:

the top one

Step-by-step explanation:

it has the least number

Answer:

A

Step-by-step explanation: i got it right

Answer:

Step-by-step explanation:

Pls give simple working

As a simplified fraction, we have 107/33

Note that fractions are simply described as the part of a whole number or variable.

There are different types of fractions;

From the information given, we get;

3. 24 repeating can be expressed as the sum of 3 and 0. 24

Let x be 3.24

Then, we have;

Multiplying 100 by a certain number results in a repeating decimal of 324. 24

100x = 324.24

After taking the difference between the two equations, we have;

99x = 321.

Make 'x' the subject of formula, we have;

x = 321/99

Learn more about fractions at: https://brainly.com/question/11562149

#SPJ1

Answer:

  a.  0

Step-by-step explanation:

You want the limit of (k(x) -h(x))/k(x) as x approaches 0 when k(x) = sin(x)/x {x≠0} and h(x)=x+1 {x<1}.

Since we're concerned about the limit as x → 0, we don't have to be concerned with the fact that the expression is undefined at x = 0.

The function h(x) is defined as h(0) = 1, so we can just be concerned with the value of ...

  lim[x→0] (k(x) -1)/k(x)

The limit of k(x) as x → 0 is 1, so this becomes ...

  lim[x→0] (k(x) -1)/k(x) = (1 -1)/1 = 0

At x=0, sin(x)/x is the indeterminate form 0/0, so its limit there can be found using L'Hôpital's rule. Differentiating numerator and denominator, we have ...

  lim[x→0] sin(x)/x = lim[x→0] cos(x)/1 = cos(0) = 1

The fact that k(0) = 0 is irrelevant with respect to this limit.

__

Additional comment

We like to use a graphing calculator to validate limit values. The attachment shows the various functions involved. It also shows that as x gets arbitrarily close to 0 from either direction, the value of g(x) does likewise. This is all that is required for (0, 0) to be declared the limit. The lack of definition of g(x) at x=0 simply means the relation has a (removable) discontinuity there.

<95141404393>