Identify an equation in standard form for a hyperbola with center (0, 0), vertex (0, 17), and focus (0, 19).

Answers

Answer 1

An equation in standard form for a hyperbola with center (0, 0), vertex (0, 17), and focus (0, 19) is;  y²/172 – x²/(6√2)² = 1

How to find the equation of a hyperbola?

We are given that the hyperbola has;

Center (0, 0), Vertex (0, 17) and Focus (0, 19)

The general form of equation of the given hyperbola has a form of;

y²/a²  - x²/b² = 1

Where;

±a is the y- coordinates of the vertices of the parabola (or y-intercepts).

b determines the asymptotes of the hyperbola in the equation y = ± (a/b)x.

From the vertex coordinates of (0.17), we have that; a = ± 17.

From the focus coordinates (0, 19), the y-coordinate of it is; c = 19 .

b can be found from Pythagorean theorem;

c² = a² + b²

Thus;

192 = 172 + b²

b² = 192 – 172

b² = 361 – 289

b = √72 = 6√2

The equation of the hyperbola is;

y²/172 – x²/(6√2)² = 1

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Answer 2
Final answer:

The equation in standard form for a hyperbola with the given center, vertex, and focus is y² / 289 - x² / a² = 1.

Explanation:

The equation of a hyperbola in standard form is given by:

(x - h)² / a² - (y - k)² / b² = 1 or

(y - k)² / b² - (x - h)² / a² = 1

Given that the center is (0,0) and the vertex is (0,17), we can see that the hyperbola is vertically oriented. Therefore, we can use the form (y - k)² / b² - / a² = 1.

Since the center is (0,0), the value of (h, k) is (0,0).

The distance between the center and the vertex is 17 units, which corresponds to the value of b.

The distance between the center and the focus is 19 units, which corresponds to the value of c.

Substituting these values into the equation gives: (y - 0)² / 17² - / a² = 1

The equation in standard form for the hyperbola is therefore / 289 - / a² = 1

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Related Questions

Miss Penny inherits £390. She decides to save some of the money and spend the rest.
The ratio of savings to spending money is 5 : 8
How much does she save and how much does she spend?

Answers

Answer:

saving=150

spending=240

Step-by-step explanation:

390/13=30

savings=30*5

spending=30*8

Answer:

£150 saved; £240 spent.

Step-by-step explanation:

If the ratio of savings to spending is 5:8, we find the fractions representing the amount saved and the amount spent by adding up 5 and 8 and then forming fractions:

savings:  5/13

spending:  8/13

(5/13) of £390 is £150; this is the amount saved.

(8/13) of £390 is £240; this is the amount spent.

calculate the number in the middle of -5 and 12

Answers

[tex]\bf \boxed{-5}\rule[0.35em]{5em}{0.25pt}0\rule[0.35em]{2em}{0.25pt}\stackrel{\stackrel{middle}{\downarrow }}{3.5}\rule[0.35em]{8.5em}{0.25pt}\boxed{12}[/tex]

what is the approximate area of a quarter circle with a radius of 22 m is using pi equals 3.14​

Answers

Answer: The answer without estimation is 1,519.76 but with estimation it’s 1,520 m.

Step-by-step explanation:

The formula for this situation is A = pi(or in this case 3.14) times the radius squared. If you know the formula then the rest is just to plug in and estimate if you have too.

HELP!!!!

Write an explanation for both Part A and B using 3-4 complete sentences.

Part A:
Explain how you can determine if a system of equations will have no solution when comparing the graph of the equations.

Part B:
Explain how you can determine if a system of equations has no solution by comparing each algebraic equation.

Be sure that your explanation includes 3 of the 4 words below:
-parallel
-slope
-y-intercept
-slope intercept form

Answers

Answer:

See below.

Step-by-step explanation:

Part A: A system will have no solution when the graphs are parallel and do not intersect.

Part B: A system will have no solution when the equations have the exact same slope. The same slope means they are parallel and do not intersect. This is done easiest in slope-intercept form.

Morgan started the year with $615 in the bank and is saving $25 per week Kendall started with $975 and is spending $15 per week .when will they both have the same amount of money in the bank ?

Answers

Answer:

Step-by-step explanation:

You can represent Morgan's scenario with the expression, 25w + 615, and you can represent Kendall's scenario with the expression, 15w + 975.  To find out when they both have the same amount of money in their accounts, you set them equal to each other and solve for w:

25w + 615 = 15w + 975

25w = 15w + 360

10w = 360

w = 36

Morgan and Kendall will have the same amount of money after 36 weeks.

Final answer:

To find the week when Morgan and Kendall will have the same amount of money in the bank, we set up the equation 615 + 25x = 975 - 15x and solve for x.

Explanation:

To find the week when Morgan and Kendall will have the same amount of money in the bank, we need to set up an equation. Let x represent the number of weeks. The equation for Morgan's savings is 615 + 25x, and the equation for Kendall's savings is 975 - 15x. To find the week when they have the same amount of money, we set up the equation 615 + 25x = 975 - 15x. Solving this equation will give us the value of x, which represents the number of weeks.

615 + 25x = 975 - 15x
Combine like terms:
40x = 360
Divide both sides by 40:
x = 9

Therefore, Morgan and Kendall will have the same amount of money in the bank after 9 weeks.

What’s the highest common factor of 120 and 75

Answers

Answer:

Find the prime factorization of 120

120 = 2 × 2 × 2 × 3 × 5

Find the prime factorization of 75

75 = 3 × 5 × 5

To find the gcf, multiply all the prime factors common to both numbers:

Therefore, GCF = 3 × 5

GCF = 15

I hope this helps! Please mark me as brainliest and have a nice day! (:

~abelxoconda

Answer: THE GCF is 15

Step-by-step explanation:

⇒GCF OF 120:   2,2,2,3,5  

⇒GCF OF 75:   3,5,5

⇒GCF:   3,5  

Therefor, The Greatest Common Factor (GCF) is: 3×5=15

* Hopefully this helps, Mark me the brainliest:)

Jimmy pays $2.52 for each gallon of gas. Which table best represents the relationship between g, the number of gallons purchased, and m, the amount he pays for gas?

Answers

The table that best represents the relationship between the number of gallons purchased, g, and the amount paid for gas, m, will list m as multiples of $2.52 as per the linear relationship g: $2.52 * g.

Jimmy pays $2.52 for each gallon of gas. To find the best table representing the relationship between g, the number of gallons purchased, and m, the amount he pays for gas, we need to create a table where each entry form is the product of g and the price per gallon, which is $2.52.

For each gallon g, the total cost m would be:

For 1 gallon: m = 1 * $2.52 = $2.52

For 2 gallons: m = 2 * $2.52 = $5.04

For 3 gallons: m = 3 * $2.52 = $7.56

...and so on.

This pattern will continue since the relationship is linear, and the table representing it will list the total cost m corresponding to the number of gallons g based on this constant rate of $2.52 per gallon.

Smart growth is an urban planning theory that promotes the development of suburbs surrounding major city centers.



True or False

Answers

the answer is false, i hope this helps

Answer:

The given statement is false.

Step-by-step explanation:

Smart growth is an urban planning theory that promotes the development of suburbs surrounding major city centers.

Rather smart growth is defined as a well planned economic development and community development with an aim to curb urban fall out and reduce the worsening environmental conditions.

Apply the definition of subtraction and properties of operations to find the result.



1/8-3/7-1/8

Answers

Final answer:

To find the result of 1/8 - 3/7 - 1/8, we need to find a common denominator for the fractions and then subtract them.

Explanation:

To find the result of 1/8 - 3/7 - 1/8, we need to apply the definition of subtraction and properties of operations. First, let's find a common denominator for the fractions. The common denominator for 8 and 7 is 56. Multiply the numerator and denominator of 1/8 by 7 to get 7/56. Multiply the numerator and denominator of 3/7 by 8 to get 24/56. Now subtract the fractions: (7/56) - (24/56) = -17/56. Finally, subtract 1/8 from -17/56. Multiply the numerator and denominator of 1/8 by 7 to get 7/56. Subtract the fractions: (-17/56) - (7/56) = -24/56.

Make 2 equations for this geometric sequence:
36, 18, 9, 4.5, 2.25, 1.125, 0.5625, 0.28125...

Answers

I think the answer will be .5

What features do all right triangles have in common

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷The answer is that there is a right angle(90 degrees) and also there are three sides.

Explanation: Since all right triangles have a right angle, and also is a triangle, they have three sides and one is 90 degrees.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

The common features of all the right angled triangles are the highest angle is the right angle (90°), Pythagorean theorem is applicable.

What is a triangle?

Any figure bounded by 3 sides and the sum of all the internal angles is 180° is called a angled triangle.

What is a right angled triangle?

Any triangle whose one angle is 90° is called a right angled triangle.

How to find what features do all right triangles have in common?

The common features of all the right angled triangles are discussed below:

All the right angled triangles have one angle 90°.The side opposite to the right angle( 90° ) is the longest and is called the hypotenuse.Pythagorean Theorem is applicable which says that squares of the length of the hypotenuse is equal to the sum of the squares of the lengths of the base and perpendicular.

These are the common features.

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Whats the value of y
2y + 15 = 4y - 45

Answers

Answer:

[tex]\boxed{\bold{y=30}}[/tex]

Step By Step Explanation:

[ Step One ] Subtract 15 From Both Sides

[tex]\bold{2y+15-15=4y-45-15}[/tex]

[ Step Two ] Simplify

[tex]\bold{2y=4y-60}[/tex]

[ Step Three ] Subtract 4y From Both Sides

[tex]\bold{2y-4y=4y-60-4y}[/tex]

[ Step Four ] Simplify

[tex]\bold{-2y=-60}[/tex]

[ Step Five ] Divide Both Sides By -2

[tex]\bold{\frac{-2y}{-2}=\frac{-60}{-2}}[/tex]

[ Step Six ] Simplify

[tex]\bold{y=30}[/tex]

The answer is 30 you don’t even need this app to answer that question use photo math

five less than a number is at least 40. write and solve an inequality to find the minimum value of the number​

Answers

Answer:

45

Step-by-step explanation:

5 less than your number is at least 40. Let the number be x. So rephrasing the statement, 5 less than x is greater than or equals 40.

x-5 ≥ 40

x-5+ 5 ≥ 40+5 (adding 5 to both sides to single out the x in LHS)

∴x   ≥ 45

In other words, x is at least 45.

Therefore, the minimum value of x is 45.

Final answer:

The inequality that represents 'five less than a number is at least 40' is x - 5 ≥ 40. To solve this, we add 5 to both sides, resulting in x ≥ 45. This means the minimum value of the number is 45.

Explanation:

To express the statement five less than a number is at least 40 as an inequality, let's designate the unknown number as x. The phrase five less than a number translates to x - 5, and at least 40 means the value is 40 or greater, which we write as ≥ 40. Combining these, the inequality is x - 5 ≥ 40.

Now, we solve the inequality step by step:

Add 5 to both sides: x - 5 + 5 ≥ 40 + 5

Simplify both sides: x ≥ 45

The minimum value of x is 45; therefore, any number that is 45 or greater satisfies the inequality.

An airplane at cruising altitude starts descending for a landing. The function f (t) = 33,600 – 1500t describes its altitude t minutes after starting its descent. What is the airplane's altitude after 10 minutes?

Answers

ANSWER

18,600

EXPLANATION

The function that describes the altitude of the plane t minutes after starting its descent is

[tex]f(t) = 33600 - 1500t[/tex]

To find the airplane's altitude after 10 minutes, we substitute t=10 into the function.

[tex]f(10) = 33600 - 1500(10)[/tex]

[tex]f(10) = 33600 - 15000[/tex]

[tex]f(10) = 18600[/tex]

Therefore the airplane's altitude after 10 minutes is 18,600 units.

Sid needs 0.5 meters of canvas material to make a carry all bag for his wheelchair. If canvas is 6.75 per meter how much will Sid spend ?

Answers

Answer:

$3.38

Step-by-step explanation:

6.75/2= $3.375

Answer: $3.375

Step-by-step explanation:

Given : Sid needs 0.5 meters of canvas material to make a carry all bag for his wheelchair.

Also, the cost of one meter of canvas = $6.75

Then, the cost of 0.5 meters is given by :-

[tex]0.5\times\$6.75\\\\=\$3.375[/tex]

Therefore, Sid will spend $3.375 on buying canvas material to make a carry all bag for his wheelchair..

Can someone help me with these 3 questions? I am really stuck on them. Thank you so much. I'm offering 80 brainly points.

Answers

Answer:

not sure about the answers to all the other one but the answer to the 3rd question is y=1

                      3x or y=1/3x

4. b
5. a
6. d


4. (6/2)-1= 3-1= 2

5. x= -1, y=0

6. y= 0/3= 0 ,. -3/3= -1, 3/3=1

Paula needs to sod square feet of land. Assuming that Paula can cut the sod into pieces, the number of 3 square foot pieces of sod she needs how many?

Answers

Step-by-step explanation:

You would need how many square feet. Divide the amount of square feet of land by 3. That should be the answer if it divides evenly, if there is a decimal or a fraction after it then round up to the next whole number

Answer:

Paula needs to sod

3,855

square feet of land. Assuming that Paula can cut the sod into pieces, the number of 3-square-foot pieces of sod she needs is

1,285

.

Step-by-step explanation:

The diagram shows one way to decompose this shape into two rectangles. One rectangle is 75 feet × 50 feet, and the other is 7 feet × 15 feet.

Find the area of the circle? Use 3.14 for pi.

Answers

Answer:

A = 50.24 mm

Step-by-step explanation:

A = Pi*r^2

A = Pi*(4)^2

A = 16*Pi

A = 50.24 mm

Best regards

Answer:

50.24

Step-by-step explanation:

area of circle: (pi)r^2

r is the radius

given: r = 4

pi = 3.14

3.14(4)^2

3.14*16

50.24

How to solve a Solve 4(3x-1) = 20

Answers

Answer:

x = 2

Step-by-step explanation:

expand the brackets firstly,

so 12x-4 = 20

then add the -4 onto the other side

so 12x = 24

then divide 24 by 12 to get x

so x = 2

The prices for a video game at 5 different stores are 39.99, 44.99, 29.99, 35.99, and 31.99. What is the mode(s) of the data

Answers

No mode. There are no two or more of the same price in the given situation.

The mode is the value that appears most frequently in a set of data. In the provided data ($39.99, $44.99, $29.99, $35.99, and $31.99), each value appears only once, so this set has no mode.

The mode of a set of data is the value that appears most frequently. Taking into account the prices for a video game at five different stores, which are
$39.99, $44.99, $29.99, $35.99, and $31.99, we need to determine if any of these values appear more than once.

Since each price appears only once, there is no repeating value, therefore this set of data has no mode.

To understand the concept better, if we had a set of prices in which at least one price appears more than once, that repeating price would be considered the mode. For example, if we had the prices $29.99, $29.99, $35.99, $39.99, and $44.99, then the mode would be $29.99 because it appears twice.

If some one could help with this it would be awesome!!

Answers

Check the picture below.

The “p hat” is calculated as

Answers

Formula of [tex]p hat = \frac{X}{n}[/tex] help us to calculate p hat , where X represents the number of occurrence of desired event and n represents the specified of sample space.

What is p hat?

" p hat is defined as the probability of the occurrence of random event to the specified sample space."

According to the definition,

p hat can be calculated using formula

[tex]p hat = \frac{X}{n}[/tex]

'X' represents the number of occurrence of the desired event

'n' represents the specified sample space.

p hat is nothing but the probability of finding specified sample size.

Hence, formula of [tex]p hat = \frac{X}{n}[/tex] help us to calculate p hat.

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Another term for measurement data is
A) quantitative data.
B) categorical data.
C) qualitative data.
Eliminate
D) bivariate data.

Answers

Final answer:

Measurement data refers to numerical information gathered by quantifying objects or events, known as quantitative data. It contrasts with qualitative, or categorical data, which describes non-numeric attributes. Quantitative data can be further classified into discrete or continuous based on the nature of the measurement.

Explanation:

The term measurement data refers to data that quantifies objects or events. This type of data can be classified as either quantitative discrete or quantitative continuous, depending on whether the data can take on only integer values or any values within a continuous range. Therefore, another term for measurement data is A) quantitative data. Quantitative data is always expressed in numbers and includes measurements such as length, mass, and time.



For example, measuring the height of a plant in centimeters yields quantitative data because it provides a numerical measurement of the plant's height. Similarly, recording the number of books a person reads in a month gives quantitative data because it counts the books. This contrasts with qualitative or categorical data, which describes attributes or characteristics that cannot be measured numerically, such as the colors of houses or types of pets.



In summary, measurement data is best described as quantitative data because it involves numerical measurements or counts, making it essential for mathematical analysis and supporting scientific findings.

Jessica has 48 coins, some of them are nickels and some are dimes. How many of each does she have if she has $3.25 total?

Answers

Jessica will have 17 Dimes and 31 Nickels.

Nickel = 0.05

Dime = 0.10

XNickels + YDimes = 3.25

0.05X + 0.1Y = 3.25

You could do this using trial and error.

You know the maximum amount of dimes you could have is 32. Because 32 * 0.1 = 3.20. If you had 33 dimes, you'd go over the limit.

You also know you need to have 48 coins. If you have 32 dimes and 1 nickel, you will not have 48 coins.

You can try any number below 32. I will try 16 because it's half of 32.

16 * 0.1 = 1.60

48 - 16 = 32 coins left

32 * 0.05 = 1.60

1.60 + 1.60 = 3.20

We're a nickel off, therefore we need to remove a nickel and add a dime.

17 * 0.1 = 1.70

48 - 17 = 31

31 * 0.05 = 1.55

1.70 + 1.55 = 3.25

Jessica will have 17 Dimes and 31 Nickels.

Jessica has about 31 nickels, 17 dimes which is worth $3.25

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of nickels and y represent the number of dimes.

x + y = 48   (1)

Also:

0.05x + 0.1y = 3.25   (2)

x = 31, y = 17

Jessica has about 31 nickels, 17 dimes which is worth $3.25

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What is the solution of 3 sqrt x+8=-4?

Answers

Answer:

[tex]x=-72[/tex]

Step-by-step explanation:

The given equation is [tex]\sqrt[3]{x+8}=-4[/tex].

We cube both sides of this equation to obtain;

[tex](\sqrt[3]{x+8})^3=(-4)^3[/tex].

This implies that;

[tex](x+8)=-64[/tex]

We group similar terms to obtain;

[tex]x=-64-8[/tex]

We simplify the right hand side of the equation to obtain;

[tex]x=-72[/tex]

Therefore x=-72 is the solution of the given equation.

Final answer:

The equation 3 √x + 8 = -4 has no solution. The square root term, when isolated, shows a contradiction since the square root of a non-negative number multiplied by a positive constant cannot be negative.

Explanation:

The solution to the equation 3 √x + 8 = -4 involves finding the value of x for which the equation holds true. Given that √4 can be both 2 and -2, we explore the possibility of squaring both sides of an equation to solve for x. However, in this case, since the square root of a number cannot be negative and the original equation involves a square root on the left side, this hints at no solution being possible because the left side (involving the square root) will always be non-negative, and cannot equal a negative number.

Nevertheless, let's attempt to formally solve the equation. Isolating the square root term by subtracting 8 from both sides results in 3 √x = -12. At this point, we encounter a contradiction: the left side represents a non-negative value (since it's 3 times the square root of x), but the right side is negative. This confirms there are no real solutions to the equation because the square root of a non-negative number (x) cannot result in a negative value when multiplied by a positive constant (3).

Evaluate C(8, 2). 56
28
40,320
20,160

Answers

Answer:

option B

28

Step-by-step explanation:

Given in the question,

C(8,2)

Formula to use

nCr = n! / r! * (n - r)!

here n = 8

        r  = 2

We have to calculate combinations of 8 object taken 2 at a time, then

C(8,2)  

8C2

8! / 2! * (8 - 2)!

[tex]\frac{8*7*6*5*4*3*2*1}{2*1(6!)}[/tex]

[tex]\frac{8*7*6*5*4*3*2*1}{2*1(6*5*4*3*2*1)}[/tex]

[tex]\frac{8*7}2[/tex]

56/2

28

So, 8C2 = 28

The combination C(8, 2) in the given problem equals 28.

Mathematically, a combination refers to a selection of items from a larger set without regard to the order of selection. It is a way to count the number of different subsets or groups that can be formed from a given set.

In other words, a combination is a selection of r objects from a set of n distinct objects, where the order of selection is not considered. The number of combinations represented as C(n, r), represents the count of possible combinations.

It is known that C(n, r) = [tex]\frac{n!}{r!(n - r)!}[/tex],

So,

C(8, 2) = [tex]\frac{8!}{2!(8- 2)!}[/tex],

           = [tex]\frac{8!}{2!6!}[/tex]

           = [tex]\frac{8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{(2\times 1) (6\times 5\times 4\times 3\times 2\times 1)}[/tex]

           = 28.

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The density of a fish tank is 0.5 fish per feet3. There are 30 fish in the tank. What is the volume of the tank

Answers

Answer:

60 cubic feet.

Step-by-step explanation:

The fish are 0.5 per cubic foot. This means 1 fish occupies 2 cubic feet. So if there are 30 fishes then there must be 60 cubic feet.

Answer:Instead of dividing the diameter by two to get the radius, the coworker multiplied the diameter by two, getting a value of 340 feet for the radius. Here’s the incorrect calculation:

volume of a cylinder ≈ 3.14 × (radius)2 × height

= 3.14 × (340 ft)2 × (60 ft)

= 3.14 × (115,600 ft2) × (60 ft)

= 21,779,040 ft3

Step-by-step explanation:

the first two steps in determining the solution set of the system of equations y=x^2-6x
+12 and y=2x-4

Answers

Answer:

The answer for y=2x-4 would be...x=1/2y+2

Step-by-step explanation:

Step 1: Flip the equation.

2x-4=y

Step 2: Add 4 to both sides.

2x-4+4=y+4

2x=y+4

Step 3: Divide both sides by 2.

2x/2=y+4/2

x=1/2y+2

Answer:

(4,4)

Step-by-step explanation:

solve for the variable, then substitute

checked on calc and edge

please mark 5 stars when you get it right  so this is easier to find lol

I need help!!! .............

Answers

answer = 9.125

first i changed the mixed number to a percentage 73/8 and did 73 divided by 8 to get my decimal.

The answer is 9.125 all i did was divide 1 and 8 and got 0.125 then added the 9

Look at the picture will give brainliest!!! Good luck!!

Answers

Answer:

A and D are your answers

Step-by-step explanation:

Other Questions
There are24 inchesof ribbon in each spool. Margaret needs384 inchesof ribbon. Which equation can Margaret use to find the number of spools,s, she needs?A) 24s=384B)384/s=24C) 384/24=sD) All of these are correct How do these triangles compare? Darren bowls on a local league and had the following scores for the past 8 weeks: 280, 290, 285, 300, 285, 291, 285 and 280. What was his range of scores? Why do you think the constitution has a civilian president in charge of the military(the armed forces) what of the following is a like radical to ^3 square 7x I DONT KNOW WHAT THIS STANZA MEANS AND NEED HELP WITH THE ANALYSIS!My heart aches, and a drowsy numbness pains My sense, as though of hemlock I had drunk, Or emptied some dull opiate to the drains One minute past, and Lethe-wards had sunk: 'Tis not through envy of thy happy lot, But being too happy in thine happiness, That thou, light-winged Dryad of the trees In some melodious plot Of beechen green, and shadows numberless, Singest of summer in full-throated ease. Match the terms to their definition. 1.budgeta) costs that change in amount 2.fixed expensesb) costs that remain the same amount 3.variable expenses c) a plan for how you will spend and save your money Necesito la descripcin breve de los 3 personajes principales de el libro Despus empezar la madrugada de Fernando Soto Aparicio. Find the value of x. Then classify the triangle PLZ HELP FOR 20 POINTS Lobbying is a. an attempt by an individual or group to influence the passage of legislation by exerting indirect pressure, through advertisements and media coverage, on members of Congress or a state legislature. b. an attempt by an individual or group to influence the passage of legislation by exerting indirect pressure, through phone calls or emails, on members of Congress or a state legislature. c. the act of working on a re-election campaign. d. an attempt by an individual or group to influence the passage of legislation by exerting direct pressure on members of Congress or a state legislature. Two boats leave an island at the same time. One of the boats travels 12 miles east and then 16 miles north. The second boat travels 24 miles south and then 18 miles west. Use the pythagorean theorem to find the distance between the boats. Isabella uses the equation to find the volume of the cone below. The density of an object with a volume of 5.0mL and a mass of 20.0g is ____________.15.0g/mL0.25g/mL100.0g/mL4.0g/mL which of the following correctly describes an R-strategy? A. long life spanB. slow to matureC. little to no care of offspring Which benefit did president Johnsons head start program provide for the people of Texas Which of the following expressions are equivalent to x - (-x) + y ?Choose all answers that apply:A. 0 + yB. y.C. None of the above Choose the two sentences that are improved when rewritten. A)The actions of the criminal were document in several documents displayed in the courtroom. B)Karen's advocate group advocated for students who struggle to get enough food on a daily basis. C)Phil was disappointed when he was station at the Missouri station rather than the one in Hawaii. D)The prophet stood at the edge of the square and prophesied about the doom coming to the corporation. E)The violent nature of Neil Gaiman's graphic novel caused parents to protest its inclusion on the syllabus. One letter is selected from the word "probability." What is the probability that a "b" or "i" is chosen?4/114/95/113/11 During a skydiving landing, a parachute deploys from the back of the diver as it taxis back down to the Earth. The parachute helps the diver slow down before landing. How does the parachute help during this process? * 1 point It increases the weight of the shuttle. It increases the potential energy of the shuttle. It increases heat transfer by radiation. It increases friction by air resistance. Steam Workshop Downloader