simplify, please, and thank you!​

Answer:

Step-by-step explanation:

BRO I DONT KNOW HELP CRI

Answer:

a)11cm

b)49.5cm²

Step-by-step explanation:

to find the perimeter you use the formula

o/360×2piR

since 2pi R=18pi cm,to find the radius you cancel pi from both sides 2r/2=18/2...so the radius is 9cm

therefore the perimeter will be:

70/360×2×22/7×9

27720/2520

=11cm

then to find the area you say

o/360×pi R²

70/360×22/7×9²

124740/2520

=49.5cm²

I hope this helps

Answer:

12* ( 4+5)

Step-by-step explanation:

48 = 12 * 4

60 = 12 * 5

48 + 60 = 12*4 + 12*5

             = 12*( 4 + 5)

            = 12* 9

            = 108

Answer:

The correct option is;

d) CPCTC

Step-by-step explanation:

The phrase Corresponding Parts of Congruent Triangles are Congruent with the acronym CPCTC, is used as valid reasoning in the provision of a proof, after the existence of congruency between two triangles has been proven

Given that the triangles ΔDOG and ΔCAT have been proven congruent, we have that the corresponding vertices are;

Vertex D corresponds to vertex C

Vertex O corresponds to vertex A

Vertex G corresponds to vertex T

Therefore, given that ΔDOG ≅ ΔCAT, we have;

∠D ≅ ∠C by CPCTC

∠O ≅ ∠A by CPCTC

∠G ≅ ∠T by CPCTC.

If the new copier costs $800 per month plus $0.25 for each copy, then the total cost for 6000 copies a month is $2300.

The total cost of leasing a copier from the Shelly group depends on the number of copies made each month.

We have to find the cost for making 6000 copies a month,

The equation to represent the total cost is represented as :

⇒ Total cost = (Monthly lease cost) + (Cost per copy × Number of copies),

⇒ Monthly lease cost = $800

⇒ Cost per copy = $0.25

⇒ Number of copies = 6000,

Substituting the values,

We get,

⇒ Total cost = $800 + ($0.25×6000)

⇒ $800 + $1500

⇒ $2300

Therefore, the total monthly cost is $2300.

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Answer:

$32040

Step-by-step explanation:

1=2232

The total cost for the week can be calculated by adding the cost of producing the caramel apples (0.75n) to the fixed cost of the booth ($120), which gives us the function C(n) = 0.75n + 120.

C(n) = 0.75n + 120

A function is a rule that assigns a unique output value to each input value. A function can be thought of as a machine that takes in an input and produces an output based on a set of instructions. The input and output values can be numbers, but they can also be other types of data, such as text or images.

Functions are an important concept in mathematics and are used in a wide range of fields, including science, engineering, economics, and computer science. They are often used to model relationships between different variables and to make predictions based on data. There are many types of functions, including linear functions, quadratic functions, exponential functions, and trigonometric functions. Each type of function has its own unique properties and can be graphed to help visualize the relationship between the input and output values.

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Answer:

x = 12 or x = -3

Step-by-step explanation:

Solve for x over the real numbers:

x^2 - 9 x = 36

Subtract 36 from both sides:

x^2 - 9 x - 36 = 0

x = (9 ± sqrt((-9)^2 - 4 (-36)))/2 = (9 ± sqrt(81 + 144))/2 = (9 ± sqrt(225))/2:

x = (9 + sqrt(225))/2 or x = (9 - sqrt(225))/2

sqrt(225) = sqrt(9×25) = sqrt(3^2×5^2) = 3×5 = 15:

x = (9 + 15)/2 or x = (9 - 15)/2

(9 + 15)/2 = 24/2 = 12:

x = 12 or x = (9 - 15)/2

(9 - 15)/2 = -6/2 = -3:

Answer:  x = 12 or x = -3

The matrix A for the linear transformation T relative to the bases B = {1, x, x2} and B' = {1, x, x2, x3, x4} is:
[4 0 0]  
[0 4 0]
[0 0 4]
[0 0 0]
[0 0 0]

The given linear transformation is T: P2 → P4 and T(p) = 4x2p.

We are to find the matrix A for T relative to the bases B = {1, x, x2} and B' = {1, x, x2, x3, x4}.

Consider the linear transformation of each element of the first basis B.

We have; T(1) = 4x2(1) = 4x2(1) + 0x3 + 0x4 = 4x2T(x) = 4x2(x) = 0x2 + 4x3 + 0x4 = 0x2 + 4x3T(x^2) = 4x2(x^2) = 0x2 + 0x3 + 4x4 = 0x2 + 0x3 + 4x4

Thus, the matrix of T relative to B is: [4 0 0] [0 4 0] [0 0 4]

Next, we will find the coordinates of each element of the basis B' under the basis B.

Using the relations;x3 = x3x^3 = x2.x   [x3]B = [0 0 1]T(x^3) = 4x2(x^3) = 0x2 + 0x3 + 0x4 = 0x2 + 0x3 + 0x4

Thus, the coordinate vector of x3 relative to B is [0 0 1].

Using the relation; x4 = x4 - x3x^4 = x^4 - x2.x   [x4]B = [0 -1 0]T(x^4) = 4x2(x^4) = 0x2 + 0x3 + 4x4 = 0x2 + 0x3 + 4(x3 + x2.x) = 0x2 + 0x3 + 4x3 + 0x2 = 0x2 + 4x3

Thus, the coordinate vector of x4 relative to B is [0 -1 0].

Thus, the matrix of T relative to B' is [4 0 0 0 0] [0 4 0 0 0] [0 0 4 0 0] [0 0 0 0 0] [0 0 0 0 0]

Therefore, the matrix A for T relative to the bases B = {1, x, x2} and B' = {1, x, x2, x3, x4} is: [4 0 0] [0 4 0] [0 0 4] [0 0 0] [0 0 0].

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Answer:

1/4

Step-by-step explanation:

11/44 = 1/4

Divide the numerator and the denominator by 11

11 ÷ 11 / 44 ÷ 11

1/4

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

1/4

Step-by-step explanation:

11/11= 1, 44/11= 4

The alternative hypothesis is a statement that contradicts the claim made in the null hypothesis.

The alternative hypothesis is a fundamental concept in hypothesis testing. In this statistical framework, the null hypothesis represents the default assumption or claim about a population parameter.

The alternative hypothesis, on the other hand, contradicts the null hypothesis and proposes an alternative explanation or claim.

When conducting a hypothesis test, we collect data and analyze it to determine whether the evidence supports rejecting the null hypothesis in favor of the alternative hypothesis.

The alternative hypothesis is typically what the researcher is trying to establish or prove.

It is important to note that the alternative hypothesis does not necessarily specify a specific alternative value or hypothesis.

It simply states that there is a difference or relationship between variables, contrary to the null hypothesis.

The specific form of the alternative hypothesis depends on the research question and the nature of the investigation.

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The least polynomial that contains the roots - 6, 0, 3 - √5 is equal to y = x⁴ - 5 · x³  - 2 · x² + 4 · x.

In this problem we must determine a polynomial function that contains the following roots: - 6, 0, 3 - √5. By quadratic formula we understand the quadratic polynomial may contain two roots of this kind: x₁ = α + β and x₂ = α - β. Therefore, the complete set of roots of the least polynomial is:

x₁ = - 6, x₂ = 0, x₃ = 3 - √5, x₄ = 3 + √5

And the factor form of the least polynomial is:

y = (x + 6) · x · (x - 3 + √5) · (x - 3 - √5)

y = (x² + x) · [(x - 3)² - 5]

y = (x² + x) · (x² - 6 · x + 4)

y = x⁴ + x³ - 6 · x³ - 6 · x² + 4 · x² + 4 · x

y = x⁴ - 5 · x³  - 2 · x² + 4 · x

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Answer:

3*2=6. 5*4=20 and 6*20=120

now,

15*8=120

so the correct ans is 15*8

The distance between the two circles is 5.

The distance between two circles is the difference between the sum of their radii and the distance between their centers. In the given diagram, the radius of the circles centered at $A$ and $B$ is 2, and the distance between their centers is the length of $\overline{AB}$, which is 5. Therefore, the distance between the two circles is 5 - (2 + 2) = 5.

The distance between the two circles is 5.

The distance between two circles is the difference between the sum of their radii and the distance between their centers.

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Answer:

x<-8

Step-by-step explanation:

x/8<-1

x<-1×8

x<-8

Answer:

Your answer is: 6 wpm

Step-by-step explanation:

If Tyler types twice as fast as Kyla, you multiply the amount of wpm Kyla writes by 2. 3 multiplied by 2 equals 6. Therefore, Tyler writes 6 wpm.

Answer:

One is 3x+2 while the other is 2x-1

Step-by-step explanation:

It is opposite to one another

the one with 3x+2 is opposite to the non given one and the one withb2x-1 is opposite

Answer:   \(\large \boldsymbol{\dfrac{1}{8 } (x^2-3)^4+c}\)

Step-by-step explanation:

\(\displaystyle \large \boldsymbol{} \int\limits {x(x^2-3)^2 } \, dx =\int\limits \frac{1}{2} {} \, (x^2-3)' (x^2-3)^3 dx =\frac{1}{8} (x^2-3)^4+c\)

Answer:

Step-by-step explanation:

If the figure is a parallelogram then the angles opposite one another are equal

2x - 30 = x + 40                    Subtract x from both sides.

2x - x - 30 = x - x + 40         Combine

x - 30 = 40                             Add 30 to both sides

x - 30 + 30 = 40 + 30           Combine

x = 70

In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

so QT² = 25² - ST²

QT = 24

RT² = 51² -25²

RT = 45

RS = 45 - 7 = 38 cm

Answer:

eighty-nine point zero four

Step-by-step explanation:

Answer:

u mean 89.04 = eighty-nine point zero four?

Step-by-step explanation:

the Wronskian W(y1, y2) is not identically zero, we can conclude that the functions y1(x) = e^x and y2(x) = e^(2x) are linearly independent.

To show that y=e^x and y=e^(2x) are linearly independent, we'll use the Wronskian test. The Wronskian is a determinant that helps determine the linear independence of two functions. For our functions y1(x) = \(e^x\) and y2(x) = \(e^{2x),\)the Wronskian is given by:

W(y1, y2) = \(\left[\begin{array}{ccc}y_1&y_2\\y'_1&y'_2\\\end{array}\right]\)
Now, we'll compute the derivatives and populate the matrix:

\(y_1'(x) = e^x\\y_2'(x) = 2e^{2x}\)

W(y1, y2) =\(e^x2e^{2x}-e^xe^{2x}\)

Next, we'll compute the determinant of this matrix:

\(W(y1, y2) = (e^x * 2e^{2x)}) - (e^x * e^{2x}))\\W(y1, y2) = e^{3x)} (2 - 1)\\W(y1, y2) = e^{3x}\\\\\)
Since the Wronskian W(y1, y2) is not identically zero, we can conclude that the functions \(y1(x) = e^x\)and \(y2(x) = e^{2x}\) are linearly independent.

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Answer: D

Step-by-step explanation:

The first data set, D1, has values ranging from 2.1 to 5.5, while the second data set, D2, has values ranging from 3.5 to 9.4. Since there is no overlap between the ranges of values in D1 and D2, these data sets show no overlap. In contrast, data sets A, B, and C all have overlapping ranges of values.

Answer: 12(3x + 2)

Step-by-step explanation:

=12 x 3x + 12 x 2

= 12(3x + 2

Answer:

13y

​2

​​ −14y+3

Step-by-step explanation:

Remove parentheses.

6{y}^{2}-9y+4+7{y}^{2}-5y-16y

​2

​​ −9y+4+7y

​2

​​ −5y−1

2 Collect like terms.

(6{y}^{2}+7{y}^{2})+(-9y-5y)+(4-1)(6y

​2

​​ +7y

​2

​​ )+(−9y−5y)+(4−1)

3 Simplify.

13{y}^{2}-14y+313y

​2

​​ −14y+3

The value of the leading coefficient a on the quadratic function is given as follows:

a = 1.

The quadratic function in the context of the problem is given as follows:

y = a(x - 3)² - 1.

From the graph, when x = 2, y = 0, hence the leading coefficient a is obtained as follows:

0 = a(2 - 3)² - 1

a - 1 = 0

a = 1.

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ANSWER

EXPLANATION

Given;

Recall;

Therefore, the time taken is 3.2hours.

Answer: D

Step-by-step explanation:

5 x 3 = 15

8 x 3 = 24

the multipliers are both 3

so they are "similar shapes".

The other options don't have the same multipliers so they aren't right :)

Answer:

1. (-31/3)+1/2

-62+3/6

-59/6

9.83

The probability that the smallest bell rings the first three days in a row is 1/27. when Each day three church bells are rung in a random order

In the given data there are 3 bells in the church in which there is a small bell and the three bells are rung in a random order. we need to find the probability that the smallest bell rings the first three days in a row.

The probability that the smallest bell rings on any given first day can be given as  = 1/3

Because there are three bells and each bell has an equal chance of being rung first. The probability that this happens three days in a row is given as

= (1/3) × (1/3) × (1/3)

= 1/27

Therefore, the probability that the smallest bell rings the first three days in a row is 1/27

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