When a dilation occurs the original figure is

Answer:

Point form -

\((2-\frac{5}{2})\)

Equation form -

\(x=2, y=-\frac{5}{2}\)

Step-by-step explanation:

if you have any questions feel free to ask

Answer:

Step-by-step explanation:

1. 500

2. 10

3. 25000

Based on the above, the capacity of a 5-liter tin is about  500 cm³.

To be able to convert the capacity of a 5-liter tin to its volume in cm³, One need to use the conversion factor that is, 1 liter is equivalent to 100 cm³.

So, to be able to calculate the volume of a 5-liter tin in cm³, one have to multiply the capacity (5 liters) by the conversion factor (100 cm³/liter):

Volume in cm³ = 5 liters x 1000 cm³/liter

                           = 500 cm³

Therefore, the capacity of a 5-liter tin is about  500 cm³.

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See full text below

Convert the capacity of a 5 litre tin to its volume in cm³.1litre is equivalent to 100cm³

Answer:

It would be herself her parents her grandparents and her great grandparents

Answer:

0.13 inches.

Step-by-step explanation:

1 inch = 2.54 cm

So 1 cm = 1/ 2.54 in

0.33 cm = 0.33/2.54 in

= 0.13 inches.

See below for the solution to each question

Yes, the graph is a function.

This is because all x values have different y values

This is the set of input values of the graph.

From the graph, we have

x = 0 to x = 17

Hence, the domain is [0, 17]

This is the set of output values of the graph.

From the graph, we have

y = 0 to y = 10

Hence, the range is [0, 10]

This is the maximum point on the graph.

From the graph, we have

Maximum = (12, 10)

This is the minimum point on the graph.

From the graph, we have

Minimum = (0, 0)

These are the intervals where the y values increase as x increase.

From the graph, we have

Increasing intervals = (0, 5) ∪ (10, 12) ∪ (14, 15)

These are the intervals where the y values decrease as x increase.

From the graph, we have

Decreasing intervals = (7, 10) ∪ (12, 14) ∪ (15, 17)

These are the intervals where the y values remain unchanged as x changes.

From the graph, we have

Constant intervals = (5, 7)

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The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

Think about the function y = f. (x). The range of the function is the range of all the y values, from least to maximum. Substitute all possible values of x into the provided expression of y to see whether it is positive, negative, or equal to other values.

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After the time-out, Avery and Seth each made 1 basket, and their scores were tied at 21 points each.

Let's denote the number of baskets made by Avery after the time-out as "A" and the number of baskets made by Seth as "S."

Since Avery gets 3 points per basket and Seth gets 1 point per basket after the time-out, we can set up the following equation based on the given information:

3A + 18 = S + 20.

Since they ended up with a tied score, we can also set up the equation:

3A + 18 = S + 20 + (S - 1)

Simplifying the second equation, we get:

3A + 18 = 2S + 19

Combining the two equations, we have:

S + 20 = 2S + 19

Simplifying, we find:

S = 1

Substituting this value of S back into one of the equations, we get:

3A + 18 = 1 + 20

3A + 18 = 21

Simplifying further, we find:

3A = 3

A = 1

Therefore, after the time-out, Avery and Seth each made 1 basket, and their scores were tied at 21 points each.

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Lorena and Julio monthly taxes will be $250.62

Lorena and Julio purchased a home for $205,950. Their tax rate is 1.5%.

Let's calculate how much their monthly taxes will be.

Assessed value is the dollar value of a property for the purposes of taxation, according to the county tax assessor's office.

By multiplying the assessed value by the tax rate we get Property taxes.

Then, divide this number by 12 to obtain the monthly tax.

Let's calculate the annual tax amount first.

Multiplying the assessed value by the tax rate.

$200,500 * 1.5% = $3,007.50

Now let's calculate the monthly tax amount.

$3,007.50 / 12 = $250.62

Therefore, their monthly taxes will be $250.62

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Answer:

  7/4 mi/h

Step-by-step explanation:

To find miles per hour, divide miles by hours:

  (7/8 mi)/(1/2 h) = 7/4 mi/h

Answer:

60 yan po Sana makatutulong

Answer:

The scale is 1:200

Step-by-step explanation:

On the plan we have the drawing as 6 cm

In real representation, we have the distance as 12 m

Firstly we have to convert to same unit

In this case, we use the cm for convenience

Mathematically, 100 cm is 1 m

Thus, 12 m

will be 12 * 100 = 1,200 cm

So, we have the ratio as;

6 cm : 1,200 cm

and that is 1:200 (since 6/1200 = 1/200 and in ratio form, we have that as 1:200)

can someone help me do this expression 6+(8÷2)-2+(4-1)

Divide first 8 and 2 and subtract 4 - 1

\( \large \sf = 6 + 4 - 2 + (4 - 1)\)

\( \large \sf = 6 + 4 - 2 + 3\)

Lastly calculate the sum or difference

\( \sf \: calculate \: the \: sum \: of \: the \: positive \: numbers \: \: \large \sf \rightarrow \red{6 + 4} - 2 \red{+ 3}\)

\( \large \sf = 13 - 2\)

\( \large \sf = 11\)

\( \huge \orange{ \underline{ \boxed{11}}}\)

HOPE THIS HELP YOU! HAVE A NICE DAY!

~kimtaetae92~

Answer:

for example:

r=2 cm

Area=pi r^2

=3.14*(2)^2

=3.14*4

=12.56

hope it helps

Good luck on your assignment

\(\angle DAE \cong \angle DCF\)

by CPCTC.

Answer:

The function y = 5 + 2x represents a linear function.

Answer:

3x-120 = x - 30

2x -120 = -30

2x= 90

x= 45

3(45) -120 (plug x into angle p to check your answer)

135-120

15 degrees

45-30 (plug x into angle r to make sure it's the same thing as angle p)

15 degrees (they're equal so now figure out angle Q and answer the question)

180 - (15 +15)

180- 30

150 is the measure of angle Q

so, the triangle is an obtuse isosceles triangle

Step-by-step explanation:

Answer:

Step-by-step explanation:

200-2x

Answer:

Step-by-step explanation:

150+2x

Everything is graphed out and labeled here for ya!

The height of the prism whose volume is 600cm^3 is 10 cm

What is the Volume of a prism?

The total area that a prism takes up in three dimensions is known as its volume. It is defined mathematically as the result of the base's area and length.

Therefore,

Prism volume is equal to Base Area x Length.

Cubic units are the unit of measurement used to indicate a three-dimensional object's volume.

A triangular prism's volume

A triangular prism is a prism that has three rectangular sides and two triangle bases. The formula for a triangular prism's volume is as follows since the cross-section of a triangular prism is a triangle:

The volume of a Triangular Prism = (½) abh cubic units.

Where

a is a triangular prism's apothem length.

b is the triangular prism's base length.

h is a triangular prism's height.

The volume of a triangular prism is area x length

Volume = 600cm^3

base =6cm

length = 20cm

height=?

The area of the triangle is 1/2 x base x height = 3 x height

volume = area x length

volume= 3 x height x 20

600 = 60 x height

height = 10 cm

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Answer:

its 3 can i get the

crown pls

Step-by-step explanation:

Answer:

39,580

Step-by-step explanation:

It means to multiply 9895 4 times.

Hope this helps.

The correct answer is d. The limit of φ(x) as x tends to -[infinity] is 0.

A quadratic equation, or sometimes just quadratics, is a polynomial equation with a maximum degree of two. It is written as ax² + bx + c = 0, with x being the unknown variable and a, b, and c being the constant terms.

The limit of φ(x) as x tends to negative infinity depends on the behavior of the solution φ(x) to the given initial value problem.

To determine the behavior of the solution, we can consider the characteristic equation associated with the differential equation:

r² + 22r + 146 = 0

Solving this quadratic equation, we find that the roots are complex conjugates:

r = -11 + 5i and r = -11 - 5i

Since the roots are complex, the solution will involve complex exponential functions. The real part of the complex exponential will decay as x tends to negative infinity. Therefore, the limit of φ(x) as x tends to negative infinity is 0.

So, the correct answer is d. The limit of φ(x) as x tends to -[infinity] is 0.

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The fiber modulus required to produce a composite with longitudinal modulus of c is 56.93.

What is manufacturing process?

Manufacturing process management is a group of tools and techniques that specify how goods should be produced. MPM is distinct from ERP/MRP, which is used to schedule manufacturing, gather cost information, and organize the ordering of supplies and other resources.

What is matrix?

A matrix, which is used to represent a mathematical object or an attribute of one, is a rectangular array or table containing numbers, symbols, or expressions that are organized in rows and columns. is a matrix having two rows and three columns, for instance.

As a result, if we look at the formula for the relationship between the fiber modulus and the matrix's volume fraction, composite modulus, and fiber vol fraction, we have:

C = (M x B) / [(1-A)M + A x B]

where M denotes the fiber's modulus.

If you provide the corresponding letter values,

40 = M X 0.5 / [(1-0.7)M + 0.7 X 0.5]

M = 56.93

Hence,the fiber modulus required to produce a composite with longitudinal modulus of c (msi) is 56.93

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The measure of angle OTQ is 166 degrees.

What are parallel lines?

Parallel lines are two or more lines in a plane that never intersect each other, no matter how far they are extended.

Since line NP is parallel to line OU, we can conclude that angles NRS and STU are corresponding angles, meaning they have the same measure. Therefore:

5X + 12 = 3X + 8

2X = 4

X = 2

Now that we know X, we can find the measure of angle STR:

3X + 8 = 3(2) + 8 = 14

Since angle STR is a straight angle with angle OTQ, we can find the measure of angle OTQ by subtracting the measure of angle STR from 180 degrees:

180 - 14 = 166

Therefore, the measure of angle OTQ is 166 degrees.

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The answer to part (b) is that the inequality holds true for all nonnegative integers n

To prove the equation 1/2 + 3/2 + 5/2 + ... + (2n+1)/2 = (3(n+1)(2n+1)(2n+3))/8, we can use mathematical induction.

Step 1: Base Case

For n = 0, we have:

LHS: 1/2 = 1/2

RHS: (3(0+1)(2(0)+1)(2(0)+3))/8 = (3(1)(1)(3))/8 = 9/8

The equation holds true for n = 0.

Step 2: Inductive Hypothesis

Assume that the equation holds true for some arbitrary positive integer k, i.e.,

1/2 + 3/2 + 5/2 + ... + (2k+1)/2 = (3(k+1)(2k+1)(2k+3))/8

Step 3: Inductive Step

We need to prove that the equation holds true for n = k+1, i.e.,

1/2 + 3/2 + 5/2 + ... + (2(k+1)+1)/2 = (3((k+1)+1)(2(k+1)+1)(2(k+1)+3))/8

Starting from the left-hand side (LHS):

LHS: 1/2 + 3/2 + 5/2 + ... + (2(k+1)+1)/2

    = (1/2 + 3/2 + 5/2 + ... + (2k+1)/2) + (2(k+1)+1)/2

    = [(3(k+1)(2k+1)(2k+3))/8] + (2(k+1)+1)/2         [Using the inductive hypothesis]

    = (3(k+1)(2k+1)(2k+3) + 4(k+1)+2)/8

    = [(k+1)(2k+1)(6k+9+4+2)]/8

    = [(k+1)(2k+1)(6k+15)]/8

    = [(k+1)(2k+1)(2k+3)]/8 * 3

    = (3((k+1)+1)(2(k+1)+1)(2(k+1)+3))/8

Both sides are equal, so the equation holds true for n = k+1.

Step 4: Conclusion

By mathematical induction, we have proven that for any nonnegative integer n, the equation 1/2 + 3/2 + 5/2 + ... + (2n+1)/2 = (3(n+1)(2n+1)(2n+3))/8 holds true.

(b) To find the values of n for which 2n+3 ≤ 2^n, we can simplify the inequality:

2n+3 ≤ 2^n

2n+3 ≤ 2 * 2 * 2 * ... * 2 (n times)

2n+3 ≤ 2^n

Since the left-hand side (LHS) is a constant (3) and the right-hand side (RHS) is an exponential function, we can compare their values for different nonnegative integers n to determine when the inequality holds true.

For n = 0:

LHS: 2^0+3 = 4

RHS: 2^0 = 1

4 > 1, so the inequality holds true for n = 0.

For n =

1:

LHS: 2^1+3 = 5

RHS: 2^1 = 2

5 > 2, so the inequality holds true for n = 1.

For n = 2:

LHS: 2^2+3 = 7

RHS: 2^2 = 4

7 > 4, so the inequality holds true for n = 2.

We can continue this process and observe that for any nonnegative integer n, the inequality 2n+3 ≤ 2^n holds true. Therefore, the answer to part (b) is that the inequality holds true for all nonnegative integers n.

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