Please help me solve this

Please Help Me Solve This

Answers

Answer 1

a. The model represents exponential growth.

b. The annual percentage increase is 3%.

c. After 2390 decades the population was about 590000.

What is the formula for exponential growth and exponential decaying function?

The formula for exponential growth is [tex]y = y_₀.e^{(kt)}.[/tex]

The formula for exponential decay is [tex]y = y_₀.e^{(-kt)}.[/tex]

Given, The population P(in thousands) of Austin Texas during a recent decade is approximated by [tex]y = 492(1.03)^t[/tex].

The model represents exponential growth as time can not be negative.

The annual percentage increase in the model [tex]y = 492(1.03)^t[/tex] is 3%

as 1.03×100% = 103%.

The time when the population was about 590000 since the beginning of a decade is,

[tex]590000 = 492(1.03)^t[/tex].

[tex](1.03)^t = 590000/492[/tex].

[tex](1.03)^t = 1199.1869[/tex].

[tex]log_{1.03}1.03^t = log_{1.03}1199.1869[/tex].

t = 2389.84 Or 2390 decades.

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Related Questions

A doctor gives 10 patients Drug A and 10 patients Drug B and records the differences. Is this an observation, survey, experiment, or simulation?

Answers

The given drug experiment is an example of observation.

What are the types of statistical studies worksheet?

There are three major types of statistical studies :

observational studiessurveysexperiments.

Given is that a doctor gives 10 patients Drug A and 10 patients Drug B and records the differences.

Giving 10 patients Drug A and 10 patients Drug B and then recording the differences is an example of observation.

Therefore, the given drug experiment is an example of observation.

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a ball is thrown from the top row of seats in a stadium the function h(t)=-16t^2+80t+96 gives the height, in feet, of the ball t seconds after it is thrown. how long will it be before the ball hits the ground?

Answers

The number of seconds it takes ball to before hit the ground is 6 seconds.

What is the solution of a quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

Given that, a ball is thrown from the top row of seats in a stadium the function h(t)=-16t²+80t+96 gives the height, in feet, of the ball t seconds after it is thrown.

When ball hits the ground h=0

So, -16t²+80t+96=0

-16(t²-5t-6)=0

t²-5t-6=0

By using splitting middle term method, we get

t²-6t+1t-6=0

t(t-6)+1(t-6)=0

t-6=0 or t+1=0

t=6 or t=-1

Time can not be negative integer.

Therefore, the number of seconds it takes ball to before hit the ground is 6 seconds.

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Directions: Solve the following problem in a way that makes sens
PROBLEM-SOLVING:
1. Students at Grossmont College are planting a community garden.
One-fifth of the garden will be planted with roses. Three students ar
equally sharing the planting of the rose section. How much of the
whole garden will each of the 3 students plant?

Answers

Therefore , the solution of the given problem of algebra comes out to be

60 garden beds in the students plans.

Algebra: What Is It?

Algebra, a subfield of mathematics, is concerned with symbols and the mathematical operations carried out on them. Because these symbols don't have predetermined values, they are referred to as variables. These symbols are additionally put through a variety of addition, subtraction, multiplication, and division arithmetic operations in order to obtain the values.

Here,

Given: actual flower bed: 18

This represents 30% of all garden beds.

Assume that x is the size of the entire flowerbed.

So, 30% of x= 18

30/100 x = 18

x= 1800/ 30

x= 60

60 garden beds are therefore planned by the students.

Therefore , the solution of the given problem of algebra comes out to be

60 garden beds in the students plans.

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Autumn received $150 for her birthday this year.
This was $10 less than half the amount she
received last year. How much money did
Autumn receive for her birthday last year?
Write an equation to model this situation.
Let x = the amount of money Autumn received
last year

Answers

(150/2)-10=x
Autumn received $65 last year

SELECT ALL of the numbers that are included within the range of the line segment.
ANSWERS ↓
-6

-4

-3

-2

0.5

1.5

3.5

Answers

Answer: -2, -3, and -4.

Step-by-step explanation:

The range is all the Y Values the graph uses, and the Y values range from -0.5 to -5.5, making every number in between those included.

Are The Numbers 16,64,18 and 72 In Proportion​

Answers

Answer: Yes.

Step-by-step explanation: They are in 1:4::1:4

Hope this helps

Answer:

Yes

Step-by-step explanation:

Are The Numbers 16,64,18 and 72 In Proportion​?

A proportion is an equation in which two ratios are set equal to each other

16 : 64 = 18 : 72

0.25 = 0.25

or

1/4 = 1/4

so your answer is yes

A six-sided die is tossed three times. The probability of observing three ones in a row is
1 / 156
1 / 216
3 / 46
1 / 120

Answers

Answer:  1/216  (choice B)

Reason:

There are 6 sides to the number cube. It gives 6*6*6 = 216 ways to roll three such dice. Only one of those ways has the sequence "1,1,1" that we're after. Therefore, the probability is 1/216.

It roughly approximates to 0.0046296; which is about a 0.46% chance of happening.

This all assumes that each side is equally likely. The answer will be different if the die is loaded in some fashion.

7sur 15 plus 6sur25 FRACTION

Answers

Answer:

53/75

Step-by-step explanation:

15 = 3 × 5

25 = 5²

PPCM = 3 × 5² = 75

75/15 = 5

75/25 = 3

7/15 + 6/25 =

= (7 × 5)/(15 × 5) + (6 × 3)/(5 × 3)

= 35/75 + 18/75

= 53/75

A piece of hematite contains 72% iron. If the hematite weighed 160g, how much iron would there be?

Answers

Step-by-step explanation:

160g=100%

72%=72/160*100

=45

is y= 2x3 an exponential function?

Answers

Answer:

No it is not an exponential function

in the xy-plane what is the y-intercept of the graph of the equation y=(x-2)^2?

Answers

As a result, the graph of the equation y=(x-2)2 in the xy plane has the y-intercept of y = -9.

what is equation ?

The number is said to be in its simplest form when divided into its smallest equivalent fraction. What should be done to find the most basic form. Look for common factors in the numerator and denominator. Verify a fractional integer to verify if it qualifies as a prime number. A statement having two collinear and an equal marker in the middle is called an equation in mathematics. The general form of any equation contains the degrees of all the variables in descending order. The conventional form of a linear equation is an x + b = 0. The general form of a linear equation with two variables is an x + b y + c = 0. (or something similar).  An identity holds true regardless of the value given to the variables.

given

Equation as given:

y = 6 (x - 1/2)(x+3)

To identify the equation's graph's y-intercept

Put x = 0 in place of it in the equation.

y = 6 (0 - 1/2)(0+3)

Apply the math operation, then find y.

y = -9

As a result, the graph of the equation y=(x-2)2 in the xy plane has the y-intercept of y = -9.

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Peter works in the Spring Roll restaurant. He earns $15.50 per hour plus tips of 15% of food sales. If Peter works 35 hours this week and has $4000 of food sales, how much does he earn in total?

Base salary =
Tips =
Total earnings =

Answers

You just need to multiply $15.50 with 35 giving us $542.50. Now you need to multiply $4,000 with 0.15 giving us $600, then you add both sums to get $1,152.50

2x^5 + 4y^12/12x^2 = ?
Solve in simplest form

Answers

Answer:

2x^5+y^12*x^2/3

Step-by-step explanation:

help thanks !!!!!!!!!!!!!!!

Answers

Answer:

ASA

Step-by-step explanation:

The hash marks are telling which sides are congruent and the angle mark is telling us that those angles are congruent.

Which is a true statement regarding Springside?

Springside does not affect the correlation.
Springside weakens the correlation shown in the scatterplot.
Springside strengthens the correlation shown in the scatterplot.
Removing Springside would increase the value of the correlation coefficient.

Answers

The result of the interpretation of the graph:

Spring side weakens the correlation shown in the scatter plot.

The correct option is D.

What is a correlation coefficient?

The precise metric used in a correlation analysis to quantify the strength of the linear relationship between two variables is the correlation coefficient. In a correlation report, the r stands for the coefficient.

Given:

The mean test score is represented in the scatter plot as a function of the average class size.

This demonstrates that there is a negative link between the mean class size and the mean test score,

with the mean score decreasing as the mean class size increases.

The correct response is:

Spring-side decreases the association displayed in the scatter plot.

However, for Spring side, the mean test score is higher than most other schools with lower class sizes, which is a different outcome than predicted.

Therefore, spring-side weakens the correlation shown in the scatter plot.

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The complete question:

A newspaper collected information on schools in its circulation area in order to compare their quality. Two measures the newspaper collected for each school, mean class size and mean score on a statewide reading exam, are shown in the scatter plot. One school in the report, Spring side Elementary, is labeled in the graph.

Which is a true statement regarding Spring side?

Spring side does not affect the correlation.

Spring side weakens the correlation shown in the scatter plot.

The spring side strengthens the correlation shown in the scatter plot.

Removing Spring side would increase the value of the correlation coefficient.

The scatter plot is attached in the image.

Select the locations on the number line to plot the points 1, 4, and −3.

Answers

The locations of the points on the number line are:

point 1: 1 step to the right of 0.

point 4: 4 steps to the right of 0.

point -3:  3 steps to the left of 0

How to select the locations on the number line to plot points?

A number lines is an horizontal straight line in which the integers are placed in equal intervals.

All positive numbers on the number line are on the right side of zero while the negative numbers are on the left side of zero.

To locate 1: starting from 0, count 1 step to the right.

To locate 4: starting from 0, count 4 steps to the right.

To locate -3: starting from 0, count 3 steps to the left.

Check the attached image to see the points.

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-15 POINTS- only answer if you know, don’t guess.

A. Parallelogram
B. Trapezoid
C. Neither

Answers

Answer:

C, neither.

I've attached a picture of what it looks like when you plot it on a graph. As you can see, it is neither. So the answer is C

Hope this helped :)

It is C.Neither
Desmos graphing is good to use when graphing them like this

Show your work please help

Answers

The error in the work lies in line 3 where the square root is calculated inaccurately.

What is square root of a number?

The opposite of squaring an integer is finding its square root. The square root of a number can be found by looking for a number that, when squared, yields the original value.

The error is in line 3, line 4 and line 5.

The error in line 3 is inaccurate calculation of the value of square root of 4.

The error in line 4 is a mathematical calculation error.

The error in line 5 is a mathematical calculation error.

The correct answer in Line 3 is:

[tex]6 * 2 *\sqrt{5} -3\sqrt{5}[/tex]

The correct answer in Line 4 is:

[tex]12\sqrt{5} - 3\sqrt{5}[/tex]

The correct answer in Line 5 is:

[tex]9\sqrt{5}[/tex]

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17. Higher Order Thinking In 4th grade,
Richard read 37 books. In 5th grade, he read
9 more books than the year before. This
year, in 6th grade, Richard plans to read at
least 12 more books than the total number
of books read in both 4th and 5th grades.
Richard writes the inequality b≥ 180 to
show the total number of books he will
have read in 4th, 5th, and 6th grades. Is his
inequality correct? Why or why not?

Answers

Step-by-step explanation:

No, Richard's inequality is not correct. In order to determine the correct inequality, we first need to find the total number of books that Richard read in 4th and 5th grade. In 5th grade, he read 9 more books than in 4th grade, so the total number of books he read in 5th grade was 37 + 9 = 46 books. The total number of books he read in 4th and 5th grade is therefore 46 + 37 = 83 books.

Since Richard plans to read at least 12 more books than the total number of books he read in 4th and 5th grade, he needs to read at least 83 + 12 = 95 books in 6th grade. In order to have read at least 180 books in total over 4th, 5th, and 6th grade, his inequality should be b ≥ 180. However, b represents the number of books he plans to read in 6th grade, which means the inequality should be 95 ≥ 180, which is not true. Therefore, Richard's inequality is not correct.

Ross walked 7 miles in 2 hours. What is his unit rate of miles per hour?

Answers

Answer:

3.5 miles per hours

Step-by-step explanation:

7/2 =3.5

Solve for the roots in the following equation. Hint: Factor both quadratic expressions.
(4+5x²-36)(2x²+9x-5) = 0

Answers

Using the provided quadratic expression and factorizing it, The answer is  x = ± √6.4 or x = ± 2.51 and  x = 1 or x = -2.5 .

What is a equation?

An equation is a statement of equality between two expressions. It typically includes numbers and mathematical operations such as addition, subtraction, multiplication, and division. For example, the equation 2x + 3 = 7 is a statement that the value of the expression 2x + 3 is equal to the value of 7. Equations can also include variables, which represent unknown values that can be solved for.

What are roots of the equation?

Roots of an equation are the values of the variable that make the equation true. For example, the roots of the equation x^2 + 2x - 3 = 0 are -1 and 3, because (-1)^2 + 2(-1) - 3 = 0 and 3^2 + 2(3) - 3 = 0. In general, finding the roots of an equation can be a difficult task and may require the use of mathematical techniques such as factoring, graphing, or numerical methods. Roots are also known as solutions or zeroes of an equation. They can be found by setting the equation equal to zero and solving for the variable.

(4+5x²-36) = 0 or (2x²+9x-5) = 0

Solving the first factor:

4+5x²-36 = 0

5x²-32 = 0

5x² = 32

x² = 6.4

x = ± √6.4

x = ± 2.51 or -2.51

Solving the second factor:

2x²+9x-5 = 0

x²+4.5x-2.5 = 0

(x-1)(x+2.5) = 0

x = 1 or x = -2.5

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Decide whether triangles ABC and DEC are similar. Explain or show your reasoning.

Answers

Triangles ABC and DEC are similar.

What is triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Here, we have,

Given the triangles ABC and DEC

For the triangle ABC:

m∠A = 36, m∠B = 21

So, the m∠C = 180 - (m∠A + m∠B ) = 180 - (36 + 21) = 123

Similarly, the angles of DEC are,

m∠D=36 , m∠C=123 & we get,  m∠E =21

So, comparing the measurements of the angles of both triangles:

m∠A=m∠D.

m∠C=m∠C

m∠B=m∠E

So, the triangles are similar using the AAA postulate.

Hence, triangles ABC and DEC are similar.

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There are three section of class 10th in Kendriya Vidyalaya Delhi Cantt the total number of strain in class 10th 400 the marks obtained by the students in pre board exam are presented in the table as given below the mean of the marks obtained in 53
Marks obtained=0-20,20-40,40-60,60-80,80-100
Number of student 15,18,21,29,p
(1) how many students got marks between 80-100?
a)21 (b)38 (c) 17 (d)26 (2) what is the lower limit of modal class a)20 (b)40 (c)60 (d) 80 (3) what is the value of modal marks
(a)58 (b)62 (c) 65 (d) 68 (4) what is the value of {fixi? (a)2900 (b) 5300 (c) 1500 (d) 100
(5) what is the upper limit of the median class?
(a) 20 (b) 40 (c) 60 (d) 80

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Given :
Marks obtained= 0-20,20-40,40-60,60-80,80-100
Number of student 15 , 18, 21, 29, p
mean of the marks obtained is 53
To Find : (1) how many students got marks between 80-100?
a)21 (b)38 (c) 17 (d)26 (2)
what is the lower limit of modal class a)20 (b)40 (c)60 (d) 80

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Answers

Therefore ,the top limit of the normal class of three parts of mean class 10th is therefore 60, and the median class is 40–60.

Define mean.

Simply average a collection of three or more numbers yields the phrase "mean." The median method, which employs the maximum of a group of products, and the arithmetic average approach, which uses the sum of both the series' values, are two ways to determine the mean for just a given set of numbers.

Given:

Grades received:

X   f   fi   xi

0-20,     10  15   150

20-40,  30  18   540

40-60, 50 21   1050

60-80, 70 29 2030

80-100 90 p   90p

Total: 3770 + 90p + 83p

Mean (3770 plus 90 pi)/(83 plus pi) = 53

=> 3770 + 90p = 83 * 53 + 53p

=> 37p = 629

=> p = 17

17 students received scores in the 80–100 range.

f = 29 and modal class 60-80

minimum of modal class 60

=> 60 + 20 * 8/20

=>68

68 is the modal marks value.

=> ∑fixi = 3770 + 90p = 3770 + 90(17) = 5300

=> 100/2 = 50

60 is the maximum median class for 3 phases of class 10 with a median class of 40–60.

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if the slope of a line is 3 ,then the slope of a parallel line is 4
4 3
true or false?

Answers

The given statement “if the slope of a line is 3, then the slope of a parallel line is 4” is false because parallel lines have equal slopes

How to determine the true statement of the parallel line?

From the question, we have the following parameters that can be used in our computation:

Slope of a line = 3

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = 3

This means that the slope is 3

The slopes of parallel lines are equal

This means that the slope of the other line is 3

Hence, the statement is false

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Which figures show shaded
amounts that are equivalent to 1/4

Answers

The image that shows the graph equivalent to the fraction 1/4 is option A, because only one part of the 4 available is shaded.

How to identify the correct graph?

To identify the correct graph, we must first identify which fraction we must represent. In this case, the fraction is 1 / 4. To understand this fraction, we must take into account that the top number (1) refers to the number of parts that are shaded and the bottom number (4) refers to the number of total parts. into which the figure is divided.

According to the above, we can infer that it is a figure that is divided into 4 parts, and one of them is shaded. So the correct choice would be option A.

Note: This question is incomplete because there is some information missing. Here is the complete information:

image attached

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Write an equation in slope-intercept form for the line perpendicular to y = -2x + 5 and containing the point (8,-3)

Answers

slope-intercept form of an equation for the line perpendicular to y = -2x + 5 is

y = 1/2x -7

What is perpendicular line?

The straight line that makes 90 degrees angle with a given line is called the perpendicular to the first line. The indicator of a line perpendicular to other line is the slope that is negative reciprocal to each other.

What is the equation of line perpendicular to the given line?

we know the slope intercept form of an equation of line is y = mx + b

m is the slope of line and b is the y intercept.

given, equation of a line, y = -2x+5

the slope m = -2 and y intercept, b = 5

we need to write an equation in slope-intercept form that perpendicular to the above line and containing the point (8, -3)

The required line of equation will have a slope equal to the negative reciprocal of the given slope.

hence, the slope will be m = 1/2

the equation of straight line will be y = 1/2x + b

as the line passes through the points (8, -3)

so, -3 = 1/2 × 8 + b

   b = -7

y intercept of the new equation = -7

the new equation of line is y = 1/2x -7

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A 3kg cart moving with a speed of 4m/s collides with a 1 kg cart at rest

Answers

The speed of the carts after collision is  3 m/s.

What is the velocity after collision?

We have to note that in this case, we would need to apply the principle of the conservation of linear momentum. This implies that the momentum before collision would have to be the same as the momentum after collision.

Then we have;

Momentum before collision = Momentum after collision thus;

(3 * 4) + ( 1 * 0) = (3 + 1) v

Note that the two carts are said to stick together and move with a common speed

Hence;

12 = 4v

v = 12/4

v = 3 m/s

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Prime numbers are the _______ _______of all numbers

Answers

The numbers which have only two factors either 1 and the number itself are called prime numbers.

What is prime numbers?

Prime number is a natural number greater than 1 that is not a product of two smaller natural numbers while a natural number greater than 1 that is not prime is called a composite number

Therefore a prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29

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what does a duck say

Answers

Answer:

theres three possible answers, they either QUACK, HONK, or hum

Step-by-step explanation:

sum of -7g and 4g+2

Answers

The sum of the given two expressions -7g and 4g+2 is -3g+2.

What are algrbraic expressions?

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown number using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables.

What are the types of algebraic expressions?

There are mainly 3 types of algebraic expressions which are:

Monomial ExpressionBinomial ExpressionPolynomial Expression

The sum of given expressions , -7g and 4g+2 can be performed as follows:

   -7g + (4g + 2)

=  (-7+4)g + 2

= -3g + 2

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Other Questions
Sean bakes 18 dozen chocolate cupcakes and 13 dozen vanilla cupcakes. About how many cupcakes did Sean bake? EXPLAIN now!!! Two students push on a box in the same direction, and one student pushes in the opposite direction. What is the net force on thebox if each student pushes with a force of 50 N? Three softball players discussed their batting averages after a game.ProbabilityPlayer 1 six tenthsPlayer 2 five ninthsPlayer 3 four seventhsCompare the probabilities and interpret the likelihood. Which statement is true? Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2) Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1) Player 3 is more likely to hit the ball than Player 1 because P(Player 3) > P(Player 1) Player 2 is more likely to hit the ball than Player 3 because P(Player 2) > P(Player 3) Vernon claims that his contract with Ulani is voidable. If their contract is avoided O both parties are released from it O both parties must fully perform their obligations under it O a wholly different contract is agreed to O a wholly different contract is imposed as if the parties had agreed 3(-n + 4) + 5n = 2n A) n = 3 B) no solution C) infinitely many solutionsPart 1: Use inverse operations and rules of equation solving to determine the correct answer to Mrs. Jones's quiz question number 14. Include all of your work in your final answer. Part 2: Use complete sentences to compare the similarities and differences of each of the multiple choice answer options A-C. In your answer, rationalize why a student would choose each of the options as the correct answer. what is the coefficient for x in 8+ x/2 g Suppose that the retail price of a product has a normal distribution with a mean of $37 and a standard deviation of $20. Approximately, what is the probability that the price grows beyond double the mean A candy-filled piata is hung from a tree for Matthew's birthday. During an unsuccessful attempt to break the 4. 4-kg piata, Hayden cracks it with a 0. 54-kg stick moving at 4. 8 m/s. The stick stops and the piata undergoes a gentle swinging motion. Determine the swing speed of the piata immediately after being cracked by the stick sasha needs 3/4 cup of flour to make a batch of muffins and 1 2/3 cups of flour to make loaf of bread. How many cups of flour does sasha need to make both a batch of muffins and a loaf of bread What is your favorite quote? At the top of your journal entry, type out one quote that is a source of inspiration or motivation for you. Place quote marks around it and include an APA style in-text citation next to it.In a paragraph of 8-10 sentences, explain why you like this quote. Develop your paragraph by sharing personal examples, explanation, and connections to other ideas in this course or other media you have seen, heard, or read.After your paragraph, create an APA style reference entry for the website or page where you found this quote. What observations did Galileo make with his telescope? Select all that apply.star clusters in the Milky Waycomets in the Kuiper beltcraters on the Moonmoons of Jupiter altitude is drawn from the vertex of an isosceles triangle, forming a right angleand two congruent triangles. As a result, the altitude cuts the base into twoequalsegments. The length of the altitude is 36 inches, and the length of the base is 12inches. Find the triangle's perimeter. Round to the nearest tenth of an an informational text can persuade, entertain, or inform.true or false? What are 5 exercises that you can do at home that are cardiovascular endurance exercises? How much tension must a rope withstand if it is used to accelerate a 1810- kg car horizontally along a frictionless surface at 1.40 m/s2 What is the process of deciding which goods and services will be purchased or provided so that the most satisfaction can be obtained? a stage light uses a white lamp wgat color of light will be seen whena yellow filter is usedan orange filter is used Please, I need the answers by today. Which of these lines from Shakespeare's Sonnet 29 portrays the emotion of joy?A. "... And trouble deaf heaven with my bootless cries..."B. "... With what I most enjoy contented least..."C. "... Desiring this man's art, and that man's scope..."D. "... For thy sweet love remembered such wealth brings..." explain how you can use proportional reasoning to determine the whole if you know that 21 is 60% of the wholePLEASE EXPLAIN. DONT GIVE THE ANSWER,, GIVE AN EXPLANATION