Identify the equation of the circle D with center D(−8,−1) and radius 3.

Answers

Answer 1

Answer:

(h+8)^2 + ( y +1)^2 = 9

Step-by-step explanation:

The equation of a circle can be written as

(x-h) ^2 +(y-k) ^2 = r^2

where (h,k) is the center and r is the radius

(h- -8)^2 + ( y - -1)^2 = 3^2

(h+8)^2 + ( y +1)^2 = 3^2

(h+8)^2 + ( y +1)^2 = 9

Answer 2

Answer:

(x + 8)² + (y + 1)² = 9

Step-by-step explanation:

Equation of a circle

(x - h)² + (y - k)² = r²

(x - -8)² + (y - -1)² = 3²

(x + 8)² + (y + 1)² = 9


Related Questions

How do u do this? Pls help me!!

Answers

Answer:

8.6 but im not sure.

Step-by-step explanation:

5 squared + 7 squared = 74 square root = 8.6

We have to find what "x" is greater than and less than.

(7-5)<x<(5+7) = 2 < x < 12

To be able to form a triangle, the sides can't be too small or big.

To find "x", use the formula above.

What is the volume of a cylinder with base radius 3 and height 6?
Either enter an exact answer in terms of or use 3.14 for and enter your answer as a decimal.
cubic units

Answers

Answer:

the volume of the cylinder is about 169.646

Step-by-step explanation:

V= 3.14 r^2 h = 3.14 × 3^2 × 6 = 169.646



I. There is a gap in the Potato Chips group
II. There is a gap in the Tortilla Chips group
III. The range is greater for the Potato Chips group
Which of the statements are true?

A) I only
B) II only
C) I and II
D) III only

Answers

Answer:

C) I and II

There is a gap in the Potato Chips group for the stem "14" and the Tortilla Chips group for the stem "12"

Answer:

its c

Step-by-step explanation:

i got it right on usatestprep

Determine the slope of the line that passes though the points (2,-5) and (4,3).

Answers

Answer: slope = 2

Step-by-step explanation:

The formula for calculating slope is given as :

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]

[tex]x_{1}=2[/tex]

[tex]x_{2}=4[/tex]

[tex]y_{1}=-5[/tex]

[tex]y_{2}=3[/tex]

substituting into the formula , we have :

[tex]m = \frac{3-(-5)}{4-2}[/tex]

[tex]m = \frac{8}{2}[/tex]

[tex]m = 2[/tex]

Therefore : slope = 2

Model the following problem with a quadratic equation. Then solve.
Find the length of a side of a square with an area of 108 ft2.

Answers

Answer:

10.3923

Step-by-step explanation:

Answer:

6sqrt3

Step-by-step explanation:

To find the area of a square, we simply square the length of its side!

We can represent the length of the side by x; therefore, the area of the square would be x squared, or x^{2}.

Then, we solve!

x^{2} = 108, so we find the square root of 108.

108 = 2^2 * 3^3

So sqrt{2*2*3*3*3}

We can take the 2^2 and 3^2 out of the square root, so outside, it becomes 2 * 3, or 6.

The 3 is still inside the square root, leaving us with 6sqrt3.

Hope that helps!

What is the value of x

Answers

It depends on your Divisor, Product, or Value. There is just not a gaven value for X or X=0

Name the types of angles shown.
J
Check all that apply.
I
A. straight angle
B. right angle
O
c. complementary angles
D. supplementary angles

Answers

Answer:

All except complementary angle.

Step-by-step explanation:

Complementary angles equal 90 degrees.

Answer:

all is correct

Step-by-step explanation:

because a right angle, complementary angle and 90% angle are the same thing and a supplementary angle and straight angle are 180% so all answers are correct

The chance that Rachel will win a prize is 21 over 50. Write this probability as a decimal and as a percent.

Answers

Answer:

.42 or 42%

Step-by-step explanation:

21/50 is equal to .42 which is the decimal answer. To get percent multiply the decimal by 100, and you get 42%.

Answer:

42%

0.42

Step-by-step explanation:

21/50 x2 = 42/100

I need assistance on this question

Answers

Answer:

The solution is (1,2) plz give branliest

Step-by-step explanation:

The solution is where the point intersect

The sum of two numbers is 41. The smaller number is 17 less than the larger number. What are the numbers?

Answers

29 and 12! 29 + 12 comes out to 41 and 29 - 12 comes out to 17. I hope this helps!!

Is 100,60,50 a right triangle

Answers

Answer:

I dont think so because a right triangle should have a 90 degree

Write all expressions that are equivalent to 8x + 16.

Answers

Answer:

There are an infinite number of expressions equivalent ot 8x+16, but a few are:

2(4x+8)

4(2x+4)

8(x+2)

Answer:

2(4x+8)

4(2x+4)

8(x+2)

Step-by-step explanation:

Conor earns $9 an hour for yard work.He raked leaves 1 afternoon and earned $29.25. How many hours did he rake leaves? How much money does he get each minute?

Answers

Answer:

29.25 divided by 9 is 3.25 so this is equavilent to 3 hours and 15 minutes

he makes 0.15 per minute 9 divided by 60 is 0.15

A triangular prism. The rectangular sides are 8 inches by 4 inches, 8 inches by 5 inches, and 8 inches by 3 inches. The triangular sides have a base of 4 inches and height of 3 inches.
The area of each triangular base is:

A = 1/2(b)(h)   A = 1/2(4)(3)

A = in.2
There are two bases, so total base area is in.2.
The lateral area is:

A = 8(4) + 8(3) + 8(5)

A = in.2
The total surface area is in.2.

Answers

Answer:

A of each triangular base = 6 in²

A of both bases = 12 in²

Lateral A = 96 in²

Surface area = 108 in²

Step-by-step explanation:

Area of each triangular base

1/2(3)(4) = 1/2(12) = 6

Area of  both bases

6*2 = 12

Lateral Area

(8)(3) + (8)(4) + (8)(5)

24 + 32 + 40

96

Total Surface area

96 + 12 = 108 in²

Please help! I’ll give 10 points.

Answers

Answer: 80m

Step-by-step explanation:

What I did was is 3/x=1.67/44.5

I set it up as a proportion, cross multiplied, and divided. you get around 79.9.... so I rounded up to 80. Hope that helped

Answer:

The buildings height was 64.23 (meters) to 2dp

Step-by-step explanation:

This is because the pole shadow = 44.3333% increase to get to 3ft

Seeing that 1.67 was the shadow and beside it the building shows 44.5 we just multiply it by the percentage and to not add one (1) to the decimal to add if not adding or showing what 44.33% becomes.

44.5 x 1.443333 =64.2283185  and sum (add) as its an increase = (44.5 + 19.72831 = 64.2283185) So 19.73 to 2dp is the difference without the 1 used and without being seen.

This is the hidden increase as we just say 44.33% of 44.5 ft But as we used the 1. to represent the x100.

We find 44.33% of 44.5 finds us the buildings exact measure to 2dp = 64.22m

Converted (= 210.72 feet to 2dp)

Hope this helps.

The graph shows the function f(x) = |x-hl + k. What is the
value of K?
k=-2.5
k=-1
k=1
k= 2.5​

Answers

Answer:

Step-by-step explanation:

While the h portion of that absolute value represents the side to side movement, the k represents the up and down.  The pointy part of the graph (the vertex) is lowered from its position at y = 0 to y = -2.5

So k = -2.5

The correct value of k is k = -2.5. Hence, option a is correct.

To find the value of k for the function f(x) = |x - h| + k, you can use one of the given points, as all points lie on the graph of the function.

Let's use the point (1, -2.5) with coordinates (x, y).

Plug these coordinates into the function:

-2.5 = |1 - h| + k

Now, you need to find k:

-2.5 = |1 - h| + k

To isolate k, you can solve for k:

k = -2.5 - |1 - h|

Now, let's check which option fits this equation based on the given points:

For h = 1 (as in the point (1, -2.5)), you get:

k = -2.5 - |1 - 1| = -2.5 - 0 = -2.5

So, the correct value of k is k = -2.5.

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A bag contains 8 blue marbles, 15 red marbles, 10 yellow marbles, and 3 brown marbles. If a marble is randomly selected, what is the probability that it will be BROWN? Please select one answer. I REALLY NEED HELP!!!!!

Answers

8 add 15 add 10 add 3
36
So 3/36

Answer:

1/12

Step-by-step explanation:

8 blue marbles

15 red marbles

10 yellow marbles

3 brown marbles

So let's add them up

8+15+10+3

=36

Probability of picking brown marbles

3/36

Divide both by 3

1/12

So the probability of picking brown is 1/12

What is the volume of a cylinder, in cubic feet, with a height of 7 feet and a base
diameter of 18 feet? Round to the nearest tenths place

Answers

Answer:

1781.29

Sorry, no explanations

Answer:

V= 1781.3

Step-by-step explanation:

That’s the correct answer.

At store #1 for $625 you can buy 25 pair of shoes. At store #2 you can buy 33 pairs of shoes for 800. Which store has the best deal on shoes? How do you know?

Answers

Answer:

store #2 is the better deal

Step-by-step explanation:

In store #1 you need to take the total cost $625 and divide it by 25 to get your pere item cost

625/ 25 = 25

In store #2 do the same

800/ 33 = 24.24

so store two is the better deal as per item cost is lower

W (t) models the daily water level (in cm) at a pond in Arizona, t days after the hottest day of the year. Here, t is entered in radians:
w(t) = 15 cos ((2pi / 365)t) + 43
What is the first time after the hottest day of the year that the water levels is 30 cm?

Answers

Answer:

152 days

Step-by-step explanation:

Given:

w(t) = 15 cos ((2π / 365)t) + 43

To find first time after the hottest day of the year that the water levels is 30 cm, substitute with w(t) = 30 and solve for t

30 = 15 cos ((2π / 365)t) + 43

30 - 43 = 15 cos ((2π / 365)t)

15 cos ((2π / 365)t) = -13

cos ((2π / 365)t) = -13/15

(2π / 365)t = cos⁻¹ (-13/15) = 150.07° ≈ (5/6) π

t = (365/2) * (5/6) ≈ 152 days

So, the first time after the hottest day of the year that the water levels is 30 cm is after 152 days

Final answer:

The water level reaches 30 cm approximately 125.3 days after the hottest day of the year. This was calculated by setting the given equation equal to 30 cm, isolating the variable, and using inverse cosine to solve in terms of radians.

Explanation:

The given equation represents a cosine function, w(t) = 15cos(2π / 365)t + 43, which models the water level in a pond. Here, 15 is the amplitude, and 43 is the vertical shift, indicating the average water level is 43 cm. To find the first time after the hottest day of the year that the water level is 30 cm we first set w(t) equal to 30 and solve this for t:

30 = 15cos((2π / 365)t) + 43,

Subtract 43 from both sides to get:

-13 = 15cos((2π / 365)t),

Next, divide both sides by 15 to get:

-13/15 = cos((2π / 365)t),

Now, use the inverse cosine function, or arccos, to solve for the argument (2π / 365)t, which is in radians:

(2π / 365)t = arccos(-13/15).

Thus, t = (365 / 2π) * arccos(-13/15). This equation can be solved using a calculator that provides results in radians. The solution is approximately 125.3 days after the hottest day of the year.

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The coach carried footballs to practice 8 times this year. Each time, he brought:
17 footballs
13 footballs
28 footballs
29 footballs
13 footballs
31 footballs
21 footballs
13 footballs

What was the median number of footballs?
(to find the median put the numbers from least to greatest the find the middle number)
im asking because i always get it wrong ;-; thanks!

Answers

Answer:

19

Step-by-step explanation:

Median is the middle number when they are lined up from smallest to largest

13,13,13,17,21,28,29,31,

There are 8 numbers

13,13,13,17,      |      21,28,29,31,

The middle is here

Add up the two numbers on either side and divide by 2

(17+21) /2

19

Answer:

19 footballs

Step-by-step explanation:

First sort the data

13 13 13 17 21 28 29 31

Median is: (17+21)/2

38/2 = 19

find the sum of 997 + 992 + 987 +...+ 257 +252

Answers

Answer:

  93,675

Step-by-step explanation:

We see that the given sequence is an arithmetic sequence with first term 997, common difference -5, and last term 252.

The number of terms in the sequence (n) can be found from the formula for the n-th term:

  an = a1 +d(n -1)

  (an -an)/d +1 = n

  (252 -997)/(-5) +1 = n = 150

The sum of these terms is the average of the first and last terms, multiplied by the number of terms:

  S150 = (997 +252)/2·150 = 93,675

The sequence sum is 93,675.

Sunil is solving the quadratic equation by completing the square. 6x2 + 24x + 5 = 0 6x2 + 24x = –5 What should Sunil do next? Isolate the variable x2. Isolate the constant. Factor 6 out of the variable terms. Subtract 24x from both sides of the equation.

Answers

Answer:

Factor 6 out of the variable terms.

Step-by-step explanation:

6x^2 + 24x + 5 = 0

6x^2 + 24x = –5

Factor out the 6 on the left hand side

6 (x^2 +4x) = -5

Answer:

FACTOR IS 6

Step-by-step explanation:

An artist wishes to make a painting in the shape of a golden rectangle, based on the theory that this shape is the most pleasing to
the average customer. If the canvas has an area of 108 in? what would be the dimensions of the canvas? Round to the nearest
inch.
a 17 x 11
C 9 x 12
b. 11 x 12
d. 6 x 10
Please select the best answer from the choices provided
Mark this and return
Save and Exit
Next
Submit

Answers

C because 9 x 12 is 108 and so it’s c but I’m sorry if this is wrong
Final answer:

The dimensions of the canvas would be approximately 11 inches by 7 inches.

Explanation:

To determine the dimensions of the canvas, we need to find the side lengths of the golden rectangle. A golden rectangle is a rectangle in which the length is approximately 1.618 times the width. The formula for the area of a rectangle is length multiplied by width. Given that the area of the canvas is 108 square inches, we can set up the equation: length x width = 108. Using the golden ratio, we can express the length in terms of the width as length = 1.618 x width.

Substituting this expression for length in the equation, we get (1.618 x width) x width = 108. Solving for the width, we find width ≈ 6.68 inches. Rounding this to the nearest inch, the width is 7 inches. Substituting this value back into the expression for length gives us length ≈ 11.31 inches, which rounds to 11 inches.

Therefore, the dimensions of the canvas are approximately 11 inches by 7 inches. The correct answer choice is a. 17 x 11.

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Alexis surveys three different samples of 20 students selected randomly from the population of 492 students in the seventh grade about their choice for class president. In each sample, Elijah receives the least amount of votes. Alexis infers that Elijah will not win the election. Is her inference valid? Explain.

Answers

Answer:

i think her inference i invalid

Step-by-step explanation:

i think this because she only surveyed a very small population of the seventh graders and the more data the more accurate your prediction will be. Hope that helps.

A)The number of students in the seventh grade who would be expected to prefer math to science are: 128

B) The true statement about the inference is (c) Yes, this is a valid inference because he took a random sample of the neighborhood

What is sample?

A sample refers to a smaller, manageable version of a larger group. It is a subset containing the characteristics of a larger population.

here, we have,

A) Given that, the total number of students in seventh grade are: 150 students.

Now he took a sample of 25 students and find that the 85% of the sample prefers math to science.

This means that out of the sample the number of students who prefer math to science is:

= 85 / 100 x 25

= 21.25

Now, out of the total seventh graders the number of students who prefer math to science is:

21.25 x 150 / 25 = 127.5 ≈ 128

B) From the question, we understand that:

Mark draws a random sample of 20 addresses from all 80 of the neighborhood addresses.

The above selection is a random sampling technique

Therefore, the true statement about the inference is (c) Yes, this is a valid inference because he took a random sample of the neighborhood

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complete question:

Ben takes a random sample of 25 students in his seventh-grade class and finds that 85% of the sample prefers math over science. There are 150 students in the seventh grade. Based on the sample proportion, about how many students in the seventh grade would be expected to prefer math over science?

25

85

150

128

Mark wants to know how many families in his neighborhood plan to attend the neighborhood party. He puts all 80 of the neighborhood addresses in a hat and draws a random sample of 20 addresses. He then asks those families if they plan to attend the party. He finds that 20% of the families plan to attend the party. He claims that 20% of the neighborhood families would be expected to attend the party. Is this a valid inference?

No, this is not a valid inference because he asked only 20 families

No, this is not a valid inference because he did not take a random sample of the neighborhood

Yes, this is a valid inference because he took a random sample of the neighborhood

Yes, this is a valid inference because the 20 families speak for the whole neighborhood

Organize the given volumes of cubes as either a perfect cube or not-perfect cube.
900m3
Perfect cubes
Not-perfect cubes
9m
8m3
343m
1,000m
300m

Answers

Answer:

343m3,8m3,1000m3 for Perfect squares

300m3,9m3,900m3 for Not-perfect squares

Step-by-step explanation:

Did an assignment on edge

Answer: answer in the picture

Step-by-step explanation:

Which statements are true about y Less-than-or-equal-to 8 and its graph? Check all that apply.
y = 0 is part of the solution set.
y = 8 is part of the solution set.
y = 10 is part of the solution set.
There is an open circle on the graph at 8.
There is a closed circle on the graph at 8.
The arrow on the graph points left.
The arrow on the graph points right.

Answers

When the inequality sign is </> (less than/greater than), the dot is an open circle.

When the inequality sign is ≤/≥ (less than or equal to/greater than or equal to), the dot is a closed circle.

y = number that is a solution/makes the inequality true

y ≤ 8      (y is any number less than or equal to 8)

#1:    y = 0 is part of the solution set.

Yes because if you substitute/plug in 0 into "y" in the inequality, since y = 0:

0 ≤ 8         0 is less than 8.

#2:     y = 8 is part of the solution set.

Yes because if you plug it into the inequality:

8 ≤ 8       8 is equal to 8

#3:     y = 10 is part of the solution set.

No because if you plug it into the inequality:

10 ≤ 8         10 is not less than or equal to 8

#4:     There is an open circle on the graph at 8.

No because the inequality sign is ≤, so there should be a closed circle on 8.

#5:      There is a closed circle on the graph at 8.

Yes because the inequality sign is ≤

#6:    The arrow on the graph points left.

Yes because if the arrow is pointing left then the numbers are decreasing, and y is any number less than or equal to 8.

#7:     The arrow on the graph points right.

No because if the arrow is point right then the numbers are increasing, but y is not a number greater than 8.

Your answer is the 1st, 2nd, 5th, and 6th option

To solve the problem first we need to understand the Inequality Signs.

Inequality Sign

In an inequality sign there is a dot(circle) present, but whether the circle is open or closed depends, upon the inequality sign.

If the inequality sign is less than(<) or greater than(>), the dot is an open circle.

whereas, if the inequality sign is less than or equal to (≤) and greater than or equal to(≥), the dot is a closed circle.

The correct options are A, B, E, and F.

Explanation

Given statements to us,

A.)   y = 0 is part of the solution set.

B.)   y = 8 is part of the solution set.

C.)  y = 10 is part of the solution set.

D.)   There is an open circle on the graph at 8.

E.)   There is a closed circle on the graph at 8.

F.)   The arrow on the graph points left.

G.)   The arrow on the graph points right.

Solutions

We know that the number line is always decreasing number or negative towards the left while positive towards the right.

Therefore, y≤8 means, y is true for any value less than and equal to 8, which will give a closed circle on the graph, and the arrow will be pointing toward the left.

Now looking at the options we have,

A.)   y = 0 is part of the solution set.

The statement is true as the y value is less than 8.

B.)   y = 8 is part of the solution set.

The statement is true as the y value is equal to 8.

C.)  y = 10 is part of the solution set.

The statement is false as the y value is greater than 8.

D.)   There is an open circle on the graph at 8.

The statement is false as the inequality sign given is less than or equal to (≤).

E.)   There is a closed circle on the graph at 8.

The statement is true as the inequality sign given is less than or equal to (≤).

F.)   The arrow on the graph points left.

The statement is true as the value of y is always on the decreasing side, the number line is always decreasing the number or negative towards the left while positive towards the right.

G.)   The arrow on the graph points right.

The statement is false as the value of y is always on the decreasing side, the number line is always decreasing the number or negative towards the left while positive towards the right.

Hence, the correct options are A, B, E, and F.

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Can you answer this for me it’s hard, thanks!

Answers

Answer:

30[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

i agree with the answer above

If you wish to show that two triangles are similar, which statement(s) is correct? You may choose more than one correct answer.

It is enough to show that all three pairs of corresponding sides are in the same ratio.
It is not enough to have information about only sides or only angles.
It is enough to show that two pairs of corresponding angles are congruent.
It is enough to show that two pairs of corresponding sides are in the same ratio.
It is enough to show that one pair of corresponding angles is congruent.

Answers

Answer:

It is enough to show that all three pairs of corresponding sides are in the same ratio.

It is enough to show that two pairs of corresponding angles are congruent.

Step-by-step explanation:

If you know that the corresponding sides have the same ratio, then both triangles will be similar (SSS Similarity)

If 2 corresponding angles are congruent, you know the 3rd one is too (Triangle Angle Sum) which makes the triangles similar (AA Similarity)

what is the slope of the line that passes through points (-1,5) and (2,3)

Answers

-2/1 because u have to do change in y over change in x

Answer:

-2/3

Step-by-step explanation:

The slope of a line can be found using the formula change in y coordinate divided by change in x coordinate (rise over run). SO, first you find the difference in y: 3-5 which is equal to -2, then divide it by change in x (2--1 / 2+1 = 3), giving an answer of -2/3.

Other Questions
The regression equation you found for thewater lilies is y = 3-915(1.106)*.NIn terms of the water lily population change thevalue 3.915 represents:The value 1.106 represents:DONE Debbie bought 8 1/2 lb of ground turkey. She packed the turkey in 1/2 lb containers and put them in the freezer. How many containers of ground turkey did she pack? Barnes Enterprises has bonds on the market making annual payments, with 14 years to maturity, a par value of $1,000, and a price of $958. At this price, the bonds yield 8.9 percent. What must the coupon rate be on the bonds Re-read the first three stanzas of the fly what comparisons is the speaker making between the fly and himself? Space little fly the summers play my thought was hand has brushed away and that I may fly like thee? Or are not thee a man like me? For a dance and drink and sing to some blind hand shower brush my wing.A. Both like to dance and both have wingsB. I thoughtless and both are blind C. Both enjoy life and both will dieD.Both are small and both are afraid A CSR should not use email, newsletters, managers and otheremployees to stay current on information. Researchers have found that boys are responded to positively when they act in masculine ways, but when they act in feminine ways they are either admonished or ignored. This finding provides the most support for which approach to gender? 8 6 4 + 10 2 = A________ is an expression that is a number, variable, or product of a number and variations such as -3y, 4x, or 5xy^2A. FactorB. Like termC. MonomialD. Product After the arrival of Europeans, the greatest number of Indians died as a result of Beowulf does not fear death.Read the passage from Beowulf.If Grendel wins, it will be a gruesome day;he will glut himself on the Geats in the war-hall,swoop without fear on that flower of manhoodas on others before. Then my face wont be thereto be covered in death: he will carry me awayas he goes to ground, gorged and bloodied;he will run gloating with my raw corpseand feed on it alone, in a cruel frenzy,fouling his moor-nest. No need thento lament for long or lay out my body: if the battle takes me, send backthis breast-webbing that Weland fashioned and Hrethel gave me, to Lord Hygelac.Fate goes ever as fate must."Which sentence or phrase from the passage most likely helped Micah make his inference?it will be a gruesome day;Then my face wont be there to be covered in death:if the battle takes me, send back this breast-webbingFate goes ever as fate must. PLZ HELP ASAP 35 PTS WILL MARK BRAINLIEST IF CORRECTWhat is the equation of this trend line?Enter your answers by filling in the boxes.K=(box)J+(box) Identify the key aspects of The Missouri Compromise (what does it include). This should include congress, states, future states, and of course slavery. Consider the following data.Rates for Cheetah Population from 2011 to 2012Cause of change20112012Deaths21Births54Immigration61Emigration83Which would have to happen to keep the population growth of cheetahs the same in 2013?4 deaths, 7 births, 2 immigration, 6 emigration3 deaths, 6 births, 5 immigration, 7 emigration5 deaths, 2 births, 8 immigration, 3 emigration1 deaths, 5 births, 3 immigration, 7 emigration The War on Poverty was an important part of what larger set of programs from the 1960s? On January 1, 20X4, Polar Corp. paid $104,000 for $100,000 par value, 9% bonds of Seal Corp. Seal had issued $300,000 of the 10-year bonds on January 1, 20X2 for $360,000. The bonds pay interest semi-annually. Polar had previously purchased 80% of the common stock of Seal on January 1, 20X1, at underlying book value. Polar reported operating income (excluding income from subsidiaries) of $50,000 and Seal reported net income of $30,000 for 20X4. Both companies use straight-line amortization. What amount of interest expense and gain/loss should be included in the 20X4 consolidated income statement PLEASE HELP!CHEMISTRY QUESTION On Venus the atmospheric pressure is 2700 mmHg and nitrogen gas makes up 3.0 % of the atmosphere. What is the partial pressure of nitrogen on Venus? mmHG The graph of a quadratic function has a vertex at the point (8,6). It passes through the point (-4,-5). Which of the following equationsrepresents this function? Write the balanced chemical equations for the reactions in which sodium phosphate is added to copper(II) sulfate and iron(III) chloride, respectively. Include states of matter. Frannie put 1/3 of her music collection on an mp3 player. While on vacation, she listened to 1 /2 of the music on the player. How much of Frannie's music collection did she listen to while on vacation? Choose the correct values to describe how to solve the problem. You're ordering a one-topping pizza. You can choose from 3 different toppings and 2 types of crust. If you randomly pick the topping and crust, which of these diagrams can be used to find all of the different kinds of pizza you can order?