The center of circle Q has coordinates (3,-2). If circle Q passes through R(7,1), what is the
length of its diameter?
A. 50
B. 25
C. 10
D. 5

Answer:

0

Step-by-step explanation:

All the numbers equal each other out.

for example:

-6+6=0

so if you have -6+-5+-4+-3+-2+-1+0+1+2+3+4+5+6, all of the numbers equal each other out.

Hope this helps!

The Laplace transform of the given function \((t)-{: 01277 1, 0\)is given by:

\(L{(t)-{: 01277 1, 0} = L{(t - 1)e^(-2t) u(t - 1)} + L{e^(-2t) u(t)}\) where u(t) is the unit step function.

Step-by-step solution is given below: Given function is (t)-{: 01277 1, 0Laplace transform of the given function is \(L{(t)-{: 01277 1, 0}=L{(t-1)e^-2t u(t-1)}+L{e^-2t u(t)}\) Where u(t) is the unit step function.

We have to find the Laplace transform of the given function.\((t)-{: 01277 1, 0 = (t-1)e^-2t u(t-1) + e^-2t u(t)\)Laplace Transform of \((t-1)e^-2t u(t-1) = L{(t-1)e^-2t u(t-1)}= e^{-as} * L{f(t-a)} = e^{-as} * F(s)So, (t-1)e^-2t u(t-1) = 1(t-1)e^-2t u(t-1)\)

Taking Laplace transform on both sides,\(L{(t-1)e^-2t u(t-1)} = L{1(t-1)e^-2t u(t-1)}= e^{-as} * L{f(t-a)}= e^{-as} * F(s)= e^{-as} * L{e^{at}f(t)}= F(s-a) = F(s+2)\)(On substituting a = 2)

Now, Let's solve \(L{e^-2t u(t)}\)

Taking Laplace transform on both sides,\(L{e^-2t u(t)}= e^{-as} * L{f(t-a)}= e^{-as} * F(s)= e^{-as} * L{e^{at}f(t)}= F(s-a) = F(s+2)\) (On substituting a = 2) Laplace transform of the given function L{(t)-{: 01277 1, 0}= L{(t-1)e^-2t u(t-1)} + L{e^-2t u(t)}= F(s+2) + F(s+2)= 2F(s+2)= 2L{e^-2t} = 2 / (s+2)

Hence, the Laplace transform of the given function is 2 / (s+2) which is a transfer function of a system with a first-order differential equation.

To know more about Laplace transform visit :

https://brainly.com/question/30759963

#SPJ11

In the context of data models, relationships among records in a hierarchical model are called Branches. This is further explained below.

Generally, The act of generating a visual representation of either a whole information system or portions of it in order to express the linkages between different data points and structures is known as data modeling.

In conclusion, When discussing data models, the connections between different records in a hierarchical structure are referred to as "Branches."

Read more about data models,

https://brainly.com/question/14866336

#SPJ1

Answer:

10

Step-by-step explanation:

(4 * 5) / 2 = 20 / 2 = 10

Answer:

Triangle R and triangle S are congruent triangles, so finding the area of triangle S would give us the area  of triangle R.

The area of  a triangle can be calculated as 1/2(bh), where b is the base and h is the height.

In this case, we have: 1/2(5)(4). This simplifies to 10.

So, the area of triangle R is 10 square meters.

Let me know if this helps!

The correct statements regarding the domain and the range of the relation are given as follows:

A. The domain is: {2, 5, 6, 7, 8}.

E. The range is: {2,3,4}.

A relation is composed by a set of points in the following format:

(x,y).

In which:

In this problem, the relation is given as follows:

(2, 4), (6, 3), (5, 4), (7, 3), (8, 2)​

The domain is the set containing all the values of the input of the relation, hence all the values of x. Thus, the domain of the presented relation is given as follows:

{2, 5, 6, 7, 8}.

Hence statement A is correct.

The range is the set containing all the values of the output of the relation, hence all the values of x. Thus, the range of the presented relation is given as follows:

{2,3,4}.

Values 3 and 4 are repeated values of y, however they appear only once in the relation. Hence statement E is correct regarding the range of the relation.

The statements are given by the image at the end of the answer.

More can be learned about the domain and the range of a relation at https://brainly.com/question/10197594

#SPJ1

Answer:

17

Step-by-step explanation:

A straight angle is 180

180 = 6z + 1 + 77 combine like terms

180 = 6z + 78  Subtract 78 from both sides

180 - 78 = 6z + 78 - 78

102 = 6z  Divide both sides by 6

17 = z

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

what you have to do is

hope this helps!

The Area of the Faces are:

Face A: 93.5 square inches

Face B: 93.5 square inches

Face C: 46.75 square inches

Face D: 46.75 square inches

Face E: 93.5 square inches

Face F: 93.5 square inches

Face A:

Since the dimensions of the base sheet are 8.5 inches by 11 inches, the area of Face A is:

Face A = 8.5 inches x 11 inches

= 93.5 square inches

Face B:

Since the dimensions of the whole sheet are 8.5 inches by 11 inches, the area of Face B is:

Face B = 8.5 inches x 11 inches

= 93.5 square inches

Face C:

Since the dimensions of the half sheet are 8.5 inches by 5.5 inches (half of 11 inches), the area of Face C is:

Face C = 8.5 inches x 5.5 inches

= 46.75 square inches

Face D:

It has the same dimensions as Face C, so the area is also:

Face D = 8.5 inches x 5.5 inches = 46.75 square inches

Face E:

They have the same dimensions as the whole sheet, so the area of Face E is:

Face E = 8.5 inches x 11 inches = 93.5 square inches

Face F: This is the top face of the prism, which is the same as Face B. So the area of Face F is also:

Face F = 8.5 inches x 11 inches = 93.5 square inches

Learn more about area here:

https://brainly.com/question/30307509

#SPJ1

Answer:

The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.

Answer:

\(t(x) = 4x - 2 \\ c(x) = x + 9 \\ c(t(x)) = (4x - 2) + 9 \\ = (4(2) - 2) + 9 \\ = 8 - 2 + 9 \\ = 6 + 9 = 15\)

Answer:

y=\(\sqrt[3]{x-1}\)

Step-by-step explanation:

y=x^3-1

Switch y and x

x=y^3-1

Solve for y

x-1=y^3

y=\(\sqrt[3]{x-1}\)

Yοu have $20. Yοu want tο buy 2 kg οf green apples. The cοst per kilο apple is $8. Hοw many shοpkeepers will return tο yοu?

Mathematical οperatοrs like additiοn, subtractiοn, multiplicatiοn, and divisiοn can be used tο cοmbine integers and numbers tο create a numerical expressiοn.

A mathematical expressiοn that οnly uses numbers. οr use οperatοr symbοls and numbers.

A set οf numbers and variables with an equal sign is referred tο as an equatiοn.

The given expressiοn is  20−8×2.

Suppοse yοu have $20.

The cοst per kilο apple is $8.

The cοst οf 2-kilο apples is (8×2).

The shοpkeepers will return tο yοu 20−8×2.

To learn more about expression, click on the below link:

https://brainly.com/question/12541927

#SPJ1

Answer: the answer is 1

Step-by-step explanation:

so we do Straight multiplication and I mean

1 x 7 (the numerators) which gives us 7

the denominator which is 7 x 1= 7

now we have the fraction 7/7 now we divide which gives us 1

Answer:

Step-by-step explanation:

The gallons of gas that Aubrey would need to travel 111.54 miles is 7.8 gallons.

In Mathematics, a direct proportion simply refers to a mathematical equation which is typically used to represent the equality of two (2) ratios.

By applying direct proportion to the given information, we have the following mathematical equation:

15 gallons of gasoline = 214.5 miles

X gallons of gasoline = 111.54 miles

By cross-multiplying, we have the following:

214.5x = 15 × 111.54

x = 1,673.1/214.5

x = 7.8 gallons of gasoline.

Read more on direct proportion here: https://brainly.com/question/29672991

#SPJ1

The right triangle has a hypotenuse of 80in and its shortest leg is 48in.

You can make a sketch of the triangle to visualize the figure:

To determine the measure of the missing leg you can apply the Pythagorean theorem. This theorem states that the square of the hypothenuse (c) of a right triangle is equal to the sum of the squares of its legs (a and b) so that:

The missing side is the longers leg "b", to determine its length you have to write the expression above for b.

To do so, first, pass a² to the right side of the expression by applying the opposite operation to both sides of it, which means you have to subtract it:

Second, since we need to find the value of b, is to calculate the square root of b², so that the exponent is canceled, and, for the equality to be valid, any operation that is done to one side of the equation must be done to the other side, so you have to apply the square root to both sides of the equal sign:

Now that we have the formula to calculate b, what is left is to replace it with the known measures of the triangle c=80 and a=48

The measure of the other leg of the right triangle is 64in.

The type of sample that a store prints a request on each receipt asking customers to fill out a satisfaction survey online if they are willing is a voluntary response sample.

In the statistics world, a voluntary response sample is a research sample that relies on individual self-selection. This is in opposition to random sampling, in which the samples are gathered in a way that ensures everyone in a particular population has an equal chance of being chosen. This method of self-selection is also known as self-selection bias or sampling bias.Voluntary response samples are subject to a variety of flaws. The responses may not be representative of the population as a whole, and they may be skewed by numerous factors, such as which individuals are most likely to volunteer, how these volunteers differ from the population as a whole, and how the survey questions are phrased.The results of a voluntary response survey may be useful in generating hypotheses or gaining a general sense of how individuals feel about a particular subject. However, they are not reliable enough to draw any conclusions or to be taken seriously in the scientific sense.

To know more about sample refer here:

https://brainly.com/question/13287171

#SPJ11

Answer:

− (8b − x) (5b + x)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

A perfect square is the product of a number multiplied by itself.

So, 9 would be 3 x 3 so that's a perfect square.

1 is 1 x 1, so that is a perfect square.

4 is 2x2, so that is a perfect square.

2 does not have a number that multiplies by itself to equal 2, so it is not a perfect square.

Answer:

d) 2

Step-by-step explanation:

Now we have to,

→ find which is not a perfect square.

Let's solve the problem,

→ √9 = 3

→ √1 = 1

→ √4 = 2

→ √2 = 1.415

Hence, 2 is not a perfect square.

The answer to the question should be d

Step-by-step explanation:

x= 2 y = 10

x= 0 y = 8

x= 4 y = 12

Answer:

\(12\frac{8}{9}\)  or \(\frac{116}{9}\)

Step-by-step explanation:

3x-14+2(3x-6)+90=180

3x-14+6x-12=90

9x-26=90

9x=116

x=116/9 or 12 8/9

Answer: Tissue

Step-by-step explanation:

They work together and there are in similar group.

The distance from the center of dilation, Q, to the image of vertex A will be 4 units.

According to the given rule of dilation, D subscript Q, two-thirds, the triangle ABC will be dilated with a scale factor of two-thirds centered at point Q.

Since point Q is the center of dilation and the distance from triangle ABC to point Q is 6 units, the image of vertex A will be 2/3 times the distance from A to Q. Therefore, the distance from A' (image of A) to Q will be (2/3) x 6 = 4 units.

By applying the scale factor to the distances, we can determine that the length of A'B' is (2/3) x  3 = 2 units, the length of B'C' is (2/3) x 7 = 14/3 units, and the length of A'C' is (2/3) x 8 = 16/3 units.

Thus, the distance from the center of dilation, Q, to the image of vertex A is 4 units.

For more such answers on the Center of dilation
https://brainly.com/question/13173812

#SPJ8

Answer:18

Step-by-step explanation:

Volume prism is equal to product of width, length and height of prism which is in this case:

\(V=4*2*2\frac{1}{4}=8*\frac{9}{4}=18\)

Answer:

(−∞,−88).

Step-by-step explanation:

The requried value of the m is given by inequality m < -78.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

As mentioned in the question,
Eighty-eight less than m is smaller than -176 modeled as,
m - 98 < -176

Adding 98 on both sides
m < -78

Thus, the requried value of the m is given by inequality m < -78.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ2

Answer:

1. 9.24 × 10¹⁰

2. 1 × 10⁸

3. 8.31 × 10⁻⁴

4. 5.8 × 10⁻⁵

A student's probability of having a sister are 1/2 or 0.5 if they do not have a brother.

Using the above data table, we must determine the likelihood that a student without a brother also has a sister. Analysing the table now

has a sibling: 5

possesses no sisters: 2

has an 18-year-old brother

possesses no brothers: 4

We are looking for the likelihood that a student has a sister and neither a brother (as indicated by the statement "Does not have a brother"). In this instance, there are two children who do not have a brother but do have a sister, making that number the number of positive outcomes.

No matter whether a student has a sister or not, the total number of outcomes is equal to the number of students who do not have a brother. According to the table, there are 4 students without brothers.

As a result, the likelihood that a student who doesn't have a brother will have a sister can be determined as follows:

Probability is calculated as the ratio of the number of favourable outcomes to all possible outcomes.

Probability equals 2/4

Probability equals 0.5 or half.

For more such question on probability. visit :

https://brainly.com/question/251701

#SPJ8