What is the growth factor of the following example? Assume time is measured in the units given.
Water usage is increasing by 3% per year.

Consider the given triangles.

Given: [tex]\angle C \cong \angle Q[/tex]

ASA congruence criterion states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

AAS congruence criterion states that if two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Consider the first part:

1. In triangles ABC and QPT

If we take [tex]\angle B \cong \angle P , BC \cong PQ[/tex] along with the given condition.

Then the triangles are congruent by ASA congruence criterion.

2. If we take [tex]\angle A \cong \angle T[/tex] and [tex]AC= TQ=3.2[/tex] along with the given condition.

Then the triangles are congruent by ASA congruence criterion.

3. As,[tex]\angle C \cong \angle Q[/tex], [tex]\angle A \cong \angle T[/tex] and [tex]\angle B \cong \angle P[/tex], so the triangles can not be congruent.

4. If we take [tex]\angle A \cong \angle T[/tex] and [tex]BC \cong PQ[/tex] along with the given condition.

Then the triangles are congruent by AAS congruence criterion.

5. If we take AC=TQ=3.2 and CB=QP=3.2 along with the given condition, then the triangles are congruent but by SAS congruence criteria neither by ASA nor AAS congruence criterion.

Answer: it’s A,B, and D

Answer:

$0.75

Step-by-step explanation:

We have been given that Yuki bought a pound of confetti for $12.

To find the price of per ounce of confetti, we will divide the total price of 1 pound confetti by number of ounces in 1 pound.

1 pound = 16 ounces.    

Let us divide 12 by 16 to find the price of confetti per ounce.

[tex]\text{Price of per ounce confetti}=\frac{12}{16}[/tex]

[tex]\text{Price of per ounce confetti}=\frac{3}{4}[/tex]

[tex]\text{Price of per ounce confetti}=0.75[/tex]

Therefore, the price of per ounce confetti is $0.75.

The coordinate rule for a translation tells how to move each point in f(x) to create g(x). Different rules correspond to different shifts: left, down, up, or right by 4 units.

The coordinate rule for a translation indicates how to move each point in a graph to create a new function. For example, a rule of '(x, y) → (x – 4, y)' would indicate that every point of the function f(x) would move 4 units to the left to create the new function g(x). Similarly, the coordinate rule '(x, y) → (x, y – 4)' would move every point 4 units down, '(x, y) → (x, y + 4)' would move every point 4 units up, and '(x, y) → (x + 4, y)' moves every point 4 units to the right. Depending on which direction you want to move the function f(x) in to create g(x), any of these coordinate rules could be valid.

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A coordinate rule for a transformation tells us how to move each point in the plane. The four provided rules indicate left, down, up, and right translations respectively. The specific translation from f(x) to g(x) would depend on their exact positions.

The question is asking about the coordinate rule for the translation of one function to another, specifically f(x) to g(x) in a two-dimensional plane. A coordinate rule for a transformation tells us how to move each point in the plane.

For example, the rule (x, y) → (x – 4, y) means that we translate each point 4 units to the left. The rule (x, y) → (x, y – 4) moves each point 4 units down. (x, y) → (x, y + 4) moves each point 4 units up, and (x, y) → (x + 4, y) moves each point 4 units to the right.

The exact translation from f(x) to g(x) would depend on the specific position and movements of these functions on the coordinate grid, which is not provided in the question.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Math has 12 ballons.

If we divide 12 by 4 friends we got 3, so we can have those situations:

He can give 3 to each friend, and he will not have any.

Also, he can give 2 for each friend , and he will have 4 more.

Also, he can give 1 for each friend, and he will have 8 more.

Matt has 12 balloons that he wants to give to 4 friends.

He wants each friend to have the same number of balloons.

Select the three statements that describe how Matt should give the balloons to his friends.

Each friend gets 124 balloons.

Each friend gets 12÷4 balloons.

Each friend gets 3 of the 12 balloons.

I got this correct and I also added screen shots that I got it correct

Answer:

A) h = 3V/ πr^2

Step-by-step explanation:

V = 1/ 3 πr^2h

Multiply each side by 3

3V = 3*1/ 3 πr^2h

3V = πr^2h

Divide each side by  πr^2 to isolate h

3V /πr^2 = πr^2/πr^2 h

3V /πr^2 =  h

Answer:

The answer is 180 feet.

Step-by-step explanation:

Here's your equation. (330 x W = 59,400).  If you want to find the width then divide 59,400 by 330 and you get 180 feet.

You can check by multiplying 330 and 180 which will result in 59,000.

So the correct answer is 180 feet.

Answer:

1. My estamite, close to -1

2. 1.5

3. Remote interior angles

4. 84

5. 60 degrees

Step-by-step explanation:

Answer:

The ratio of mops to brooms is 3:4

Step-by-step explanation:

To find this, we first need to simply plug in the numbers.

Mops:Brooms

6:8

Now we can simplify by noticing that both are divisible by 2

3:4

Answer:

IT SAID 3/7 FOR ME!

HDJKSHFNDSKLFDSFDS

Step-by-step explanation:

Final answer:

The expression (7+2a)·3−20 simplifies to 1 + 6a. You distribute the 3 to the terms inside the parentheses and then subtract 20 from 21 to combine like terms.

Explanation:

To simplify the algebraic expression (7+2a)·3−20, we start by distributing the 3 to both terms inside the parentheses.

7·3 + 2a·3 − 20 = 21 + 6a − 20

Next, we eliminate terms wherever possible by combining like terms. We subtract 20 from 21, which gives us:

21 − 20 + 6a = 1 + 6a

So, the expression simplifies to:

1 + 6a

We can check if this is reasonable by substituting a value for 'a'. If 'a' is 3, for example, then:

1 + 6×3 = 1 + 18 = 19

Which is the result we would expect after simplifying the original expression with 'a' being 3.

Answer:

y = 1/3x - 2

Step-by-step explanation:

Line y = 1/3x + 5 has slope 1/3, so the line we are looking for also has slope 1/3.

y = 1/3x + b

We know a point, so we plug in the values of x and y, and we solve for b.

y = 1/3x + b

-1 = (1/3)(3) + b

-1 = 1 + b

b = -2

Now that we know b, the equation is:

y = 1/3x - 2

Answer: (B) 3 times as fast

Step-by-step explanation:

rate of change is the "slope" between the given interval.

f(x) = 125(.9)ˣ

f(1) = 125(.9)¹

    = 112.5

f(5) = 125(.9)⁵

     = 73.8

[tex]\dfrac{f(5) - f(1)}{5 - 1} = \dfrac{73.8-112.5}{5-1} = -\dfrac{38.7}{4} = -9.675[/tex]

********************

f(11) = 125(.9)¹¹

       = 39.2

f(15) = 125(.9)¹⁵

       = 25.7

[tex]\dfrac{f(15) - f(11)}{15 - 11} = \dfrac{39.2-25.7}{15-11} = -\dfrac{13.5}{4} = -3.375[/tex]

********************

The rate of change from years 1 to 5 is approximately 3 times the rate of change from years 11 to 15.

Answer:

Restrictions on the domain: x>=5

g(h(13)) = ±4

Step-by-step explanation:

g° ℎ is the composite function

We stick the function h in for x in the function g

g(x) = sqrt(x-3)

h(x) = 2x-7)

g(h(x)) = sqrt( 2x-7 -3)

g(h(x)) = sqrt( 2x-10)

The restrictions on the domain , or the allowed values of x

sqrt (2x-10) >= 0

Square each side

2x-10 >= 0

2x>= 10

Divide by 2

x>=5

Let x=13

g(h(13)) = sqrt( 2*13-10)

              sqrt(26-10)

                sqrt(16)

                 ±4

Answer:

There are 8 roots

1,2,5,10,-1,-2,-5,-10

Step-by-step explanation:

The rational root theorem says take all the factors of p over all the factors of q

p = 1,2,5,10

q = 1

roots ±  1,2,5,10

          --------------------

          1

roots ±1, ±2, ±5,±10

Answer:

The difference would be 8.3 second

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The factorization of these is ...

A: F(x) = (x -3)(x +3)² . . . . 3 real roots, one with multiplicity 2.

B: F(x) = (x -3)³ . . . . 3 real roots, one with multiplicity 3.

C: F(x) = (x +3)³ . . . . 3 real roots, one with multiplicity 3.

D: F(x) = (x +3)(x² +9) . . . . 1 real root, 2 complex roots.

_____

Note

A graphing calculator is helpful in factoring these. The quadratic factor of option D was found using synthetic division, after the real root was found using the graphing calculator.

Answer:

"The population is 34,000 and the sample is 256."

Step-by-step explanation:

The population is the general audience you will generalize about. While the sample is the subset of people you actually study or interview or receive responses.  Here the population is 34,000 and the sample is 256.

Answer:

B 8 n^18

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length of a square

64 n^36 = s^2

Take the square root of each side

sqrt(64 n^36 )= sqrt(s^2)

Sqrt(ab) = sqrt(a) sqrt(b)

sqrt(64) sqrt(n^36) = s

8 n^18 =s

Answer:

The correct answer is option D

Step-by-step explanation:

The use of personal information though a public computer can make personal information prone to adulteration and misuse as identity theft

When a Social Security number is mentioned on an income tax form it remains private and does not get exposed. Like wise missing monthly payments for a car loan has no relevance to data stealing. In case of opening a credit card account, the information provided are secured with the availed banking service

Answer:

Randell uses a computer at a public library to view his bank account online.

Step-by-step explanation:

Using a publicly accessible computer to view sensitive information can lead to that information being divulged to others using the same computer.

Answer:

option D is correct.

y=9x represents a proportional situation

Step-by-step explanation:

If two quantities are said to have a proportional relationship if they vary in such a way that one of the quantities is a constant multiple of the other i.e,

y = |k|x ;  where |k| is constant proportionality.

By definition :

y =9x  where k =9 is constant ,  represents a proportional relationship.

Answer:

The correct answer option is y = 9x.

Step-by-step explanation:

From the given equations as the possible answer options, y = 9x is the correct answer which represents a proportional situation.

Two values (variables in this case) are said to be proportional if they change in a way such that there is a constant multiple multiplied to one of the values.

Here, in the equation y = 9x, y and x are the two variable and 9 is the constant  multiple.

Answer: 15 of the cards can be sold for $23.50 each, and 27 of the cards can be sold for $32.50 each. This is all he wants to sell so the answer would be (23.5 x 15) + (27 x 32.5)

$1230

Please mark brainliest.

Step-by-step explanation:

Answer:

Expression that gives weight of 1 fish: [tex]\frac{239}{100}[/tex].

The weight of 1 fish is 2.39 pounds.

Step-by-step explanation:

We have been given that Tom and his brothers caught 100 fish on a week-long fishing trip. The total weight of the fish was 239 pounds.

Assuming that the weight of each fish is the same, we can find weight of 1 fish by dividing the total weight of fish by total number of caught fish.

[tex]\text{The weight of 1 fish}=\frac{239}{100}[/tex]

Therefore, the expression that gives the weight of 1 fish is [tex]\frac{239}{100}[/tex].

Upon dividing 239 by 100 we will get,

[tex]\text{The weight of 1 fish}=2.39[/tex]

Therefore, the weight of 1 fish is 2.39 pounds.

Angle FEG = 90 degrees based on the square marker symbol in the diagram.

Angle ABE = 90 degrees as well because BEF is 90 (supplementary to FEG) and because ABE and BEF are alternate interior angles

Angle D is 40 degrees. Why? because triangle DEG is a reflection of triangle FEG (this can be proven using SAS)

Angle EGF is 50 degrees. With any right triangle, the acute angles add to 90, so 40+50 = 90, or put another way 90-40 = 50

The answer to this question is -6.

To solve this problem, we need to understand certain properties about exponents.  To begin, let's remember that when we raise a number, the base, in this case y, to a certain power that is then raised to another power, we multiply these two exponents together when evaluating.  Another important concept that is vital to understanding this problem is that negative exponents are positive exponents in the denominator of fractions.  For example, y^-4 = 1/y^4.

Using this knowledge, we know that b * 4 must equal 24 (because raising a power to another power implies multiplication).  Therefore, we know that the magnitude of the variable b must be six.  However, we must also recognize that y^24 is in the denominator of the answer, which means that one of the exponents of the variable y must be negative.  Since the exponent 4 is not negative, the exponent of b, or 6, must be.

Therefore, your answer is -6.

If you do not understand my explanation, feel free to ask me any clarifying questions.

Hope this helps!

Answer:

-6

Step-by-step explanation:

(y^b)^4 = 1/ (y^24)

We know (a^b)^c = a^(b*c)

and 1/ y^a = y ^ -a

y ^(4b) = y ^ (-24)

When we have the same bases, the exponents must be the same

4b = -24

Divide by 4

4b/4 = -24/4

b =-6

Answer:

In the case of Mike's free throws, the Domain that describes this relationship can be either B or D.

Step-by-step explanation:

In the case of a relationship that represents a 'constant' increase or decrease, we know that there will be an independent and dependent variable.  The independent variable is our 'x' value and the dependent variable is our 'y' value.  In this case, they tell us that the number of free throws Mike misses is dependent on the number of practices sessions he has attended.  Therefor, 'x' would represent the number of practices and 'y' would represent the number of missed free throws. At the start, before practices or an 'x' value of 0, Mike, misses 6 free throws.  He continues to decrease his missed throws by for each practice, until the sixth practice where he misses none.  So, the 'x' values would be 0, 1, 2, 3, 4, 5, and 6.  This can be shown by letter 'B', which includes all numbers, or letter 'D', which represents all numbers between, and including 0 and 6.

Answer:

I'd choose B since it includes all of the numbers.

Step-by-step explanation:

Answer:97/20

Step-by-step explanation:

Answer:

Its the graph at the bottom right.

Step-by-step explanation:

Adding f(x) and g(x) we get

-x^2 + 3x + 5 + x^2 + 2x

= 5x + 5 = (f+ g)(x)

This has a slope of 5  and a y-intercept of 5,  so its  bottom right graph.

(f + g)(x) is a composite function of f(x) and g(x), and it is represented by graph (c)

The functions are given as:

[tex]\mathbf{f(x) = -x^2 + 3x + 5}[/tex]

[tex]\mathbf{g(x) = x^2 + 2x}[/tex]

To calculate (f + g)(x), we make use of the following formula

[tex]\mathbf{(f + g)(x) = f(x) + g(x)}[/tex]

So, we have:

[tex]\mathbf{(f + g)(x) = -x^2 + 3x + 5 + x^2 + 2x}[/tex]

Collect like terms

[tex]\mathbf{(f + g)(x) = x^2-x^2 + 3x+ 2x + 5 }[/tex]

Evaluate the like terms

[tex]\mathbf{(f + g)(x) = 5x + 5}[/tex]

The above function is a linear function.

A linear function is represented as:

[tex]\mathbf{y = mx + c}[/tex]

Where m represents the slope, and c represents the y-intercept

So, by comparison:

[tex]\mathbf{m = 5}[/tex]

[tex]\mathbf{c = 5}[/tex]

The graph that has a slope of 5, and a y-intercept of 5 is graph (c)

Hence, graph (c) represents (f + g)(x)

Read more about composite functions at:

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-4m + 5n - 2 - 3m + 3n + 7    combine like terms

= (-4m - 3m) + (5n + 3n) + (-2 + 7)

Answer:

x- 5

y- 6

Step-by-step explanation:

A proportional relationship is a relationship for which a proportional constant y/x exists and for which it passes through (0,0) or the origin.

The proportional constant is 6.

18/3=6

42/7=7

54/9=6

Thus the filled in blanks should be x 1, 3, 5, 7, 9 and y 6, 18, 30, 42, 54.

Answer:

Step-by-step explanation:

From the given table, if we divide each pair as y/x, we find the ratio is 6.

[tex]\frac{18}{3}=6\\\frac{42}{7}=6\\\frac{54}{9}=6[/tex]

Therefore, the missing numbers have to be in the same ratio.

[tex]\frac{x}{1}=6\\x=6[/tex]

[tex]\frac{30}{x}=6\\ x=5[/tex]

So, the missing numbers are 5 and 6, because they are also in the same ratio of 6.