Mathematics High School

a lab is growing bacteria in a culture dish. the amount of bacteria in the dish doubles every 3 hours. initially, there are 500 bacteria in the dish. how many are in the dish after 9 hours

a. 4,500 bacteria
b. 4,000 bacteria
c. 1,500 bacteria
d. 13,500 bacteria

Answers

Answer 1
Answer is option C.
I hope it is correct
Answer 2

Answer:

1,500 bacteria so answer C

Step-by-step explanation:

Related Questions

At Saturday night’s football game there were 18 less fans than half the fans at Friday night’s game. There were “x” fans at Friday’s game. Write an expression to represent the number of fans at Saturday’s game

Answers

Final answer:

The expression to represent the number of fans at Saturday's game when there were 'x' fans on Friday is (1/2)x - 18.

Explanation:

To find the number of fans at Saturday's football game based on the given information that there were 'x' fans at Friday's game, we will write a mathematical expression. According to the statement, there were 18 fewer fans than half of the fans on Friday night. The expression for half of the fans at Friday's game is (1/2)x and we subtract 18 from this to account for the 18 fewer fans. Therefore, the expression representing the number of fans at Saturday's game is (1/2)x - 18. This expression can be used to determine the number of fans at Saturday's game once the number of fans on Friday (x) is known.

Final answer:

The expression representing the number of fans at Saturday's game, based on the fact that there were 18 less than half the number of fans at Friday's game (represented by x), is (x/2) - 18.

Explanation:

The question we are addressing involves writing an expression to represent the number of fans at Saturday's football game, with the information that there were 18 less fans than half the number of fans at Friday night's game, and there were x fans at Friday's game.

Let's start with the number of fans at Friday's game, which is represented by x. Since we know that Saturday's game had 18 less than half of that amount, we first need to find half of x. To do that, we divide x by 2: (x/2). Now, to reflect that there were 18 fewer fans on Saturday, we subtract 18 from half of x: (x/2) - 18. Consequently, the expression that represents the number of fans at Saturday's game is (x/2) - 18.

This expression allows us to plug in the actual number of fans from Friday's game (when we know it) to determine the number of fans that attended Saturday's game.

4.5x-7=20 i need help whats the answer

Answers

Is this your equation?: 4.5x - 7 = 20
_____________________________________________________________

Your goal is to isolate x. By isolating the x-variable, you effectively receive the answer. In order to isolate x, you move the -7 term [Note: that the sign in front of a number signifies if it's positive or negative] as well as 4.5 behind the equality symbol. To do this, you do reverse operations to both sides. Start with -7.

The opposite of negative 7 is positive 7, therefore -7 + 7 = 20 + 7
-7 + 7 cancels each other out and 27 takes the place of 20. We now have: 4.5x = 27

Since you have to multiply 4.5 by x originally, you have to divide now. Divide 4.5 by itself and 27 by 4.5. This gives you 1 and 6. [Note that a 1 in front of a variable is like saying only that variable]

(1)x = 6, Therefore x is equivalent to 6.

Briefly check your work by taking the original equation and substituting x with 6. If 4.5(6) - 7 equals 20, 6 is our right answer. [Note: Solve with PEMDAS]

4.5 * 6 = 27

27 - 7 = 20.

In summary, x = 6 is correct. 

I have attached a picture of a question I am stuck on. It is about Riemann sums. I have attempted the question but did not get the correct answer :( Here is my work:

I see that this graph has the same area repeating 12 times.

I did (b - a)/n, or (12 - 0)/36, and found that the width of each rectangle should be 1/3. Because we are asked to find the area using "circumscribed angles," I will use right-endpoint rectangles on the first part of the graph that shows a decreasing interval from 0 to 1:

t = 1/3, r(t) = 2.01745506
t = 2/3, r(t) = 2
t = 1, r(t) = 1.45369751

These values for r(t) represent heights of the rectangles. I can add them and multiply by the width of each rectangle:

1/3(2.01745506 + 2 + 1.45369751) = 1/3(5.47115257) = 1.823717523

I can multiply the area by 12 to find the area under the entire function:

1.823717523 * 12 = 21.88461028

This is not an answer choice, so I clearly did something wrong! Can someone help me find my mistake?

Answers

"Circumscribed rectangles" means that any Riemann Sum (left or right) must overestimate the area under the curve. So, a Right-Riemann sum would underestimate the area under the curve, and that's where you made your mistake. You will use the Left-Riemann Sum to approximate the area under the curve r(t) = tan(cos(xt) + 0.5) + 2

Or, you could use u-substitution to get the exact area under the curve from [0, 12] - but I would do as the problem says. If you want me to that, DM me.

Write a pair of parametric equations for an object moving along the unit circle

Answers

x = cos(t)
y = sin(t)

HELP I WILL FAN AND MEDAL


Which of the following statements about special angle relationships is not correct?

A. It is possible for angles to be both vertical and complementary.

B. It is possible for an obtuse angle to have both a complement and a supplement.

C. It is possible for an acute angle to have both a complement and a supplement.

D. It is possible for angles to be both congruent and supplementary

Answers

Answer:
Second choice: It is possible for an obtuse angle to have both a complement and a supplement.

Explanation:
Let's examine the given choices:

First choice:
It is possible for angles to be both vertical and complementary.
Vertical angles are equal angles.
Complementary angles means that the two angles add up to 90 degrees.
Two angles can be both vertical and complementary if the measure of each is 45. By this, the two angles are equal and their summation is 90 degrees.
Therefore, this statement is correct

Second choice:
It is possible for an obtuse angle to have both a complement and a supplement.
Complement angles means that their sum is 90 degrees.
Supplement angles means that their sum is 180 degrees.
Since the measure of an obtuse angle is greater than 90, therefore, it cannot have a complement.
Therefore, this statement is not correct

Third choice:
It is possible for an acute angle to have both a complement and a supplement.
Complement angles means that their sum is 90 degrees.
Supplement angles means that their sum is 180 degrees.
Since the measure of an acute angle is less than 90, therefore, it can have both a complement and a supplement.
Therefore, this statement is correct

Fourth choice:
It is possible for angles to be both congruent and supplementary
Congruent angles means that they are equal
Supplement angles means that they add up to 180 degrees.
Two angles can be both congruent and supplement if the measure of each is 90. By this, the two angles are equal and their summation is 180 degrees.
Therefore, this statement is correct

Based on the above, the only incorrect statement is the second choice.

Hope this helps :)

Answer:

B.) It is possible for an obtuse angle to have both a complement and a supplement.

Step-by-step explanation:

Rules for an obtuse angle:

It cannot be smaller than or be 90°It can not be bigger than or be 180°

To create a complementary or supplementary angle, you can use 2 angles and no more than 2.

Say we used an obtuse angle (like the one in the picture below), since an obtuse angle can not be or be greater than 90°, an obtuse angle can not be complementary.

We can not fit 2 obtuse angles at 180°, because of that, an obtuse angle(s) can not create a supplementary angle.

Therefore, B would be the correct answer.

-kiniwih426

Which properties did Carmen use to solve the following problem? 17 + (45 + 23) 17 + (23 + 45) (17 + 23) + 45 40 + 45 85 distributive property identity property of addition associative property of addition commutative property of addition

Answers

He used the associative property of addition. When you simplify numbers in parentheses, you use the APA.

Carmen used the associative property of addition to solve the given problem.

The associative property means one can add or multiply the given numbers regardless of how they are grouped. In other words, if one is adding or multiplying it does not matter where the brackets are placed.

The given problem is -

17 + (45 + 23),  17 + (23 + 45),   (17 + 23) + 45

So here the sum of all the three patterns is 85. This clearly proves that forming groups does not affect the sum. So this is based on associative property of addition.


What is the missing reason in Step 8? 

Answers

The missing reason is you didn't put the actual question on here.

please show the full question. 

Step 8 involves identifying the gap, researching if needed, and crafting a concise reason. Ensure coherence with existing content, verify consistency, and integrate the reason seamlessly. Finally, review for clarity and implement the revised explanation.

Step 8 is to implement a missing reason in a explanation, broken down step by step:

Identify the Gap: Review the existing explanation to pinpoint where a reason is lacking.

Understand the Context: Ensure comprehension of the topic to provide an accurate reason.

Research if Necessary: Gather relevant information to support the reason.

Craft the Explanation: Write a concise statement that fills the gap logically.

Check for Coherence: Ensure the new reason aligns seamlessly with the existing content.

Review for Clarity: Confirm that the explanation is clear and understandable.

Integrate into the Content: Insert the reason into the appropriate section of the explanation.

Verify Consistency: Double-check that the added reason maintains coherence with the overall argument or narrative.

Final Review: Reevaluate the entire explanation to guarantee completeness and accuracy.

Implement and Test: Incorporate the revised explanation and assess its effectiveness.

By following these steps, the missing reason can be seamlessly integrated into the explanation, ensuring clarity and coherence.

What is the mode for the following set of data?

5, 7, 9, 11, 13, 13

8
9.7
10
13

Answers

The mode is 13.
The number 13 occurs the most in the set of data.

Two trains left the station traveling in opposite directions. The distance Train A traveled is modeled by the function d(t)=81t where d represents distance in miles and t represents time in hours.

Train B traveled a total of 324 miles in 4 hours.

How does the distance Train A traveled in 1 hour compare to the distance Train B traveled in 1 hour?



The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.

The distance Train A traveled in 1 h is greater than the distance Train B traveled in 1 h.

The distance Train A traveled in 1 h is less than the distance Train B traveled in 1 h.

Answers

Answer:

Option A -  The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.

Step-by-step explanation:

Given : The distance Train A traveled is modeled by the function [tex]d(t)=81t[/tex]

where d represents distance in miles and t represents time in hours.

To find : How does the distance Train A traveled in 1 hour compare to the distance Train B traveled in 1 hour?

Solution :

Distance traveled by Train A in 1 hour is

[tex]d(t)=81t[/tex]

[tex]d(t)=81(1)=81[/tex]

Distance traveled by Train B in 1 hour is

[tex]d(t)=81t[/tex]

[tex]d(t)=81(1)=81[/tex]

or for B, we have 324 miles in 4 hours. If that is at a constant speed, it travels 324/4 = 81 miles in one hour

Therefore, The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.

Hence, Option A is correct.


Answer:

The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.

Step-by-step explanation:

please please help me

Answers

Let A, M, and w represent Angelo's distance per week, Marc's distance per week, and the number of weeks of this regimen, respectively.
.. A = w +7 . . . . . . . Angelo's distance goes up 1 mile/week each week
.. M = 2w +4 . . . . . Marc's distance goes up 2 miles/week each week

a) A = M
.. w +7 = 2w +4
.. 3 = w . . . . . . . . . . subtract w+4

After 3 weeks Angelo and Marc will be running the same distance.


b) A = M = 3+7 = 2*3+4 = 10

That distance will be 10 miles per week.

_____
This problem can be a little confusing because "miles per week" is a rate, and we're talking about the rate of increase of that rate: 1 or 2 miles per week per week. It might be easier to think of the numbers as "weekly distance", rather than "miles per week".

Suppose the ages of cars driven by employees at a company are normally distributed with a mean of 8 years and a standard deviation of 3.2 years. What is the z score of a car that is 6 years old?

Answers

Z-scores are found using the formula [tex]z=(x-\mu) \div\sigma[/tex], where x is your data point you're using, μ is the mean, and σ is the standard deviation.  Using our information we then have
[tex]z=(6-8)\div 3.2=(-2)\div 3.2=-0.625[/tex]

Answer:

-0.625 is right

Step-by-step explanation:

:3 i did the test

Identify the vertical asymptote(s) of each function. Check all of the boxes that apply. f(x)=x-8/x^2-3x+2


x = -8


x = -2


x = -1


x = 1


x = 2


x = 8

Nevermind the answer was x=1 and x=2. If anyone is wondering how to do it you can put the denominator in desmos and where the 2 points hit the x axis is your answer.

Answers

Since the function is:
[tex] \frac{x-8}{ x^{2} -3x+2} [/tex]

Now factorize the denominator:
[tex]\frac{x-8}{ x^{2} -x-2x+2}[/tex]

[tex]\frac{x-8}{ x(x-1) -2(x-1 ) }[/tex]

[tex]\frac{x-8}{ (x-1) (x-2 ) }[/tex]

Now put the denominator equals to zero:

[tex] (x-1) (x-2 ) = 0[/tex]

Now take each one of them separately to find the vertical asymptotes:
[tex]x-1 =0, x-2=0[/tex]

Ans: So there are TWO asymptotes:
1) x = 1.
2) x = 2.

-i

Answer:

x=1 and x=2

Step-by-step explanation:

The number 1,054 is:

A. < 1,045

B. = 1,045

C. > 1,045

D. None of the choices are correct.

Answers

The answer is C. 

Hope this helped!
1054 > 1045

answer is C.
> 1,045

PLEASE HELP
what is the value of x in the diagram?
a. 15
b. 5 2/5
c. 19
d. 3/5

Answers

I'm pretty sure the answer is A) 15 I could be wrong though

Answer: The answer is (a) 15.

Step-by-step explanation:  We are given a figure with two similar triangles with sides of lengths x, 15 and corresponding sides of lengths 15 and 25 respectively.

Since the given triangles are similar, so their sides will be proportional.

Therefore, we have

[tex]\dfrac{x}{9}=\dfrac{25}{15}\\\\\\\Rightarrow \dfrac{x}{9}=\dfrac{5}{3}\\\\\\\Rightarrow x=\dfrac{5\times 9}{3}\\\\\Rightarrow x=15.[/tex]

Thus, the value of x is 15.

You have $1,998.00 on a credit card with a 14.5% APR. You miss your minimum payment the first month and there is a late fee of $37.00. How much is your balance at the beginning of the second month?

Answers

There are 2 parts to this question.  1. One would be to calculate the interest based on your balance and 2. then to add the late fee.  Use the formula i = prt to calculate your simple interest. i represents the interest you will pay, p stands for the principal (balance on your credit card), and t stands for the period of time (related to a period of a year/annual percentage rate).  The $1998 balance times 0.145 times 1/12 gives the interest amount of $24.14.  So, $1998 + $24.14 + $37 = $2059.14 balance.  

The answer is:

$2,059.14

Name the property the equation illustrates.


A) Commutative Property of Addition

B) Inverse Property of Multiplication

C) Commutative Property of Multiplication

D) Associative Property of Addition

Answers

Answer: Choice C) Commutative Property of Multiplication

The commutative property of multiplication is the idea that you can multiply two numbers in any order to get the same result. So that's why order doesn't matter. The general format is x*y = y*x

For example, 2*3 = 6 and 3*2 = 6 so 2*3 = 3*2

One or both of the numbers can be a fraction. 

If f(x) = 3 – 2x and 1/x+5, what is the value of (f/g)(8)? –169 –1 13 104

Answers

I'm assuming that this is the complete question.
If f(x) = 3 – 2x and g(x)=1/(x+5), what is the value of (f/g)(8)? a) –169       b) –1      c) 13     d) 104
x = 8
f(x) = 3 -2xf(8) = 3 - 2(8) = 3 - 16 = -13
g(x) = 1/(x+5)g(8) = 1/(8+5) = 1/13
(f/g)(8)f(8)/g(8) = -13/ (1/13) = -13 * 13 = -169  Choice A :)

The value of (f/g)(8) is -169 if the f(x) = 3 – 2x and g(x) = 1/(x+5) option (A) -169 is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have functions:

f(x) = 3 – 2x and

g(x) = 1/(x+5)

To find the value of (f/g)(8):

First, find the value of f(x) at x = 8

Plug x = 8 in the function f(x)

f(8) = 3 - 2(8)

f(8) = 3 - 16

f(8) = -13

Now plug the x = 8 in the function g(x)

g(8) = 1/(8 + 5)

g(8) = 1/13

(f/g)(8) = f(8)/g(8)

(f/g)(8) = -13/(1/13)

(f/g)(8) = -169

Thus, the value of (f/g)(8) is -169 if the f(x) = 3 – 2x and g(x) = 1/(x+5) option (A) -169 is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ6

Ishaan is 2 times as old as Christopher. 35 years ago, Ishaan was 7 times as old as Christopher. How old is Ishaan now?

Answers

I= Ishaan's age= 2C
C= Christopher's age

35 years ago means we have to subtract 35 from their current age. Ishaan minus 35 equals 7 times Christopher minus 35 years.

CHRISTOPHER'S AGE:
I - 35= 7(C-35)
substitute I=2C in for I
multiply 7 by all in parenthesis

2C - 35= 7C - 245

add 35 to both sides
2C= 7C - 210

subtract 7C from both sides
-5C = -210

divide both sides by -5

C= 42 Christopher's age


ISHAAN'S AGE:
I= 2C
substitute C=42 to find Ishaan's age
I= 2(42)

I= 84 Ishaan's age

CHECK:
Substitute answers in original equation

I - 35= 7(C-35)
84 - 35= 7(42-35)
49= (7*42)+(7*-35)
49= 294-245
49=49

Hope this helps! :)

For which interval is the function constant?




(0, 2)

(−∞, −6)

(2, ∞)

(−6, 0)

Answers

Answer:

(−6, 0)

Step-by-step explanation:

The section where the function is constant is where it is horizontal.  This is from x = -6 to x = 0; in interval notation, this is (-6, 0).

A function assigns the value of each element of one set to the other specific element of another set. The function is constant in the interval (-6 to 0).

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A function is known to be constant if the value of one of the variables is not changing the value of the other.

In the function as we can see that the value of y is not changing with the change in the value of x between x=-6 to 0, therefore, the function is constant in the interval (-6 to 0).

Learn more about Function:

https://brainly.com/question/5245372

Part A: The area of a square is (9x2 − 18x + 9) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work.

Part B: The area of a rectangle is (25x2 − 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work.

Answers

A) 9x^2 -18x +9 = 9(x^2 -2x +1) = 3^2*(x -1)^2 = (3(x -1))^2

The length of each side is 3(x -1).


B) 25x^2 -4y^2 = (5x)^2 -(2y)^2 = (5x -2y)*(5x +2y)

The dimensions are (5x -2y) and (5x +2y).

_____
The first question makes use of the "square of a binomial" special form:
  (a -b)^2 = a^2 -2ab +b^2

The second question makes use of the "difference of squares" special form:
  a^2 -b^2 = (a -b)(a +b)

7p + 20 – 13q – 4q – 18 + 6p



A.
13p + 17q – 2
B.
13p – 17q + 2
C.
3q + 38
D.
3q – 6

Answers

Answer:

c  i just took it

Step-by-step explanation:

The given expression simplifies to B. 13p - 17q + 2 by combining like terms.

The given expression that requires simplification is 7p + 20 - 13q - 4q - 18 + 6p. To simplify an algebraic expression, combine like terms, which are terms that contain the same variable raised to the same power. In this case, we combine the terms with p and the terms with q, as well as the constant terms separately.

First, combine the terms with p: 7p + 6p equals 13p.

Second, combine the terms with q: -13q - 4q combines to -17q.

Lastly, combine the constant terms: 20 - 18 equals 2.

Putting it all together, the simplified expression is 13p - 17q + 2, which corresponds to option B.

A stuntman jumps from a rooftop 315 ft off the ground. how long will it take him, falling freely, to reach the ground? (use the formula s = 16t2.)

Answers

For this case what you must do is replace the value of the height in the given equation and clear the value of t.
 We then have to replace:
 s = 16 * t ^ 2
 315 = 16 * t ^ 2
 Clearing the value of t:
 315 = 16 * t ^ 2
 t1 = root (315/16)
 t1 = 4.437059837
 t2 = - root (315/16)
 t2 = - 4.437059837
 We ignore the negative root.
 Answer:
 it will take him, falling freely 4.43 s to reach the ground

The stuntman will take approximately 3.98 seconds to reach the ground when falling freely from a rooftop 315 ft high.

To calculate the time it takes for the stuntman to reach the ground when falling freely:

Given s = 315 ft and using the formula s = 16t^2, where s represents the distance and t represents time.Plug in the value of s into the formula: 315 = 16t^2.Solve for t by isolating the variable: t = sqrt(315/16) ≈ 3.98 seconds.

The table lists the test scores William and Andre received on five math assessments William's scores 89 97 78 81 91 Andre's score 90 74 73 87 82
Which statement best describes the difference of the mean of the two sets?
A)It is equal to about 0.5 times the mean absolute deviation of either data set. B)It is equal to about 1 times the mean absolute deviation of either data set. C)It is equal to about 1.5 times the mean absolute deviation of either data set. D)It is equal to about 2 times the mean absolute deviation of either data set.

Answers

Start out by finding the mean of William's set.  To find the mean, add all of the data points together and divide by the number of data points:
[tex]\frac{89+97+78+81+91}{5}=\frac{436}{5}=87.2[/tex]
To find his mean absolute deviation, find the absolute values of the differences between each data point and the mean; then find the average of these:
[tex]\frac{|89-87.2|+|97-87.2|+|78-87.2|+|81-87.2|+|91-87.2|}{5} \\ \\=\frac{1.8+9.8+9.2+6.2+3.8}{5}=\frac{30.8}{5}=6.16[/tex]
Now find the mean of Andre's data (again, add all of the data points together and divide by the number of data points):
[tex]\frac{90+74+73+87+82}{5}=\frac{406}{5}=81.2[/tex]
Find his mean absolute distance (find the absolute value of the difference between each data point and the mean, then average these):
[tex]\frac{|90-81.2|+|74-81.2|+|73-81.2|+|87-81.2|+|82-81.2|}{5} \\ \\=\frac{8.8+7.2+8.2+5.8+0.8}{5}=\frac{30.8}{5}=6.16[/tex]
Both mean absolute deviations are the same.  The difference between the means of the two sets is
87.2-81.2=6.
6 is about 1 times the mean absolute deviation of either set.
Basically the other person was trying to say it is B.

PLEASE HELP!!!! NEED NOW!!! 20 pts
Explain how the Quotient of Powers was used to simplify this expression.
2 to the 5th power, over 8 = 2 to the 2nd power
By finding the quotient of the bases to be one fourth, and cancelling common factors
By finding the quotient of the bases to be one fourth, and simplifying the expression
By simplifying 8 to 2^3 to make both powers base two, and subtracting the exponents
By simplifying 8 to 2^3 to make both powers base two, and adding the exponents

Answers

first if all we have to simplify the whole number and see if it has he same basis of the powered number or not. 
If so like 8 it has the same base for [tex]2^{5}[/tex]
as they are both can be obtained by multiplying a certain number of 2s.
for example [tex] 8=2^{3}= 2*2*2 [/tex] which makes 8 can be obtained by multiplying three 2s.
in our example [tex] \frac{2^{5}}{8}=\frac{2^{5}}{2^{3}} = 2^{5} * 2^{-3} [/tex]
in this case, we can add the two powers as long as the basis are the same.
[tex] \frac{2^{5}}{8}=2^{5-3}=2^{2}=4[/tex]

I hope it make sense now ;)
Best Wishes

230 is equal to _____.

Answers

solution:

230 degree is 50 degrees past 180 degrees into the third quadrant where both sin and cos are negative.

A tiger in captivity is fed 13.5 pounds of food an elephant in captivity eats per day. Compare the function by comparing their rates of change.

Answers

I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
 SEE ATTACHED IMAGE.
 The first thing that we are going to do in this case is to find the slope of the line for the function that simulates the amount of food of the elephant.
 We have then:
 m = (y2-y1) / (x2-x1)
 Substituting any two points:
 m = (625-125) / (5-1)
 m = 125 pounds / day
 125> 13.5
 Answer:
 The elephant eats more than the tiger daily.

Suppose the ages of cars driven by employees at a company are normally distributed with a mean of 8 years and a standard deviation of 3.2 years. What is the z score of a car that is 6 years old?

Answers

Z-scores are given by the formula [tex]z=(x-\mu)\div\sigma[/tex], where x is the data point you're using, μ is the mean and σ is the standard deviation.  Using our information we have 
z=(6-8)÷3.2=(-2)÷3.2=-0.625.

Answer:

z=(6-8)/3.2=(-2)/3.2=-0.625

Step-by-step explanation:

z=(6-8)/3.2=(-2)/3.2=-0.625

1. SCHOOL PLAY Marika and her three friends attended the school play. Tickets cost $5.75 each, and Marika paid for everyone. Find the totał cost of the tickets. Justify your answer by using the Distributive Property

Answers

I think the answer is 23 because if you multiply 5.75 by 4 then you would get 23.
23.00 3 of here friends plus her self

10. Does the table represent an exponential function? Explain why or why not.
x 1 2 3 4
y 2 8 32 128
I REALLY NEED HWLP WITH THIS

Answers

yes because if you multiply any of those numbers by 4 you will get the following number like 2x4=8x4=32x4=128

Match the statements
1. m<2 = 122° and m<3 = 58°
If corresponding angles are equal, then lines are parallel.
2. 3 and 5 are supplementary angles
Exterior Sides in Opposite Rays
3. m<3 + m<5 = 180°
Given
4. 58° + m<5 = 180°
Second Substitution
5. m<5 = 122°
Definition of Supplementary Angles
6. m<2 = m5
First Substitution
7. l || m
Subtraction Property of Equality

Answers

1. m<2 = 122° and m<3 = 58° - C. Given

2. 3 and 5 are supplementary angles - E. Definition of Supplementary Angles

3. m<3 + m<5 = 180° - D. Second Substitution

4. 58° + m<5 = 180° - F. First Substitution

5. m<5 = 122° - G. Subtraction Property of Equality

6. m<2 = m5 - A. If corresponding angles are equal, then lines are parallel

7. l || m - B. Exterior Sides in Opposite Rays

The given geometry statements are matched with appropriate geometric principles, such as the definition of supplementary angles, substitution properties, and theorems related to parallel lines and angles.

To match the statements given with the correct reasons, we need to analyze the relationships between angles and understand the geometric principles involved.

Here are the matches:

1. m<2 = 122° and m<3 = 58° - C. Given

2. 3 and 5 are supplementary angles - E. Definition of Supplementary Angles

3. m<3 + m<5 = 180° - D. Second Substitution

4. 58° + m<5 = 180° - F. First Substitution

5. m<5 = 122° - G. Subtraction Property of Equality

6. m<2 = m5 - A. If corresponding angles are equal, then lines are parallel

7. l || m - B. Exterior Sides in Opposite Rays

The probable question may be:

Match the statements

1. m<2 = 122° and m<3 = 58°

2. 3 and 5 are supplementary angles

3. m<3 + m<5 = 180°

4. 58° + m<5 = 180°

5. m<5 = 122°

6. m<2 = m5

7. l || m

A. If corresponding angles are equal, then lines are parallel.

B. Exterior Sides in Opposite Rays

C. Given

D. Second Substitution

E. Definition of Supplementary Angles

F. First Substitution

G. Subtraction Property of Equality

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