This table gives a few (x,y) pairs of a line in the coordinate plane.
x y
32 22
48 17
64 12
What is the y-intercept of the line?

Answers

Answer 1

The y-intercept of the coordinate plane is y = -5/16x+32

To find the equation or y-intercept, we fist need to find the slope of the equation.

The intercept form of the equation is given by

y-y1 = m(x-x1)

The slope can be find as

m = (y2-y1)/(x2-x1)

Let us consider two points as

x1 = 32, y1 = 22

x2 = 48. y2 = 17

Substitute the values to get the slope

m = (17-22)/(48-32) = -5/16

Now substitute the values to find y-intercept

(y-22) = -5/16(x-32)

⇒ y-22 = -5/16x+10

⇒ y = -5/16x+10+22

⇒ y = -5/16x+32

Hence, y intercept of the given points are y = -5/16x+32

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Related Questions

The picture shows 2 questions (separated with the long straight line)

X = - 4

Pleade help me ​

Answers

Answer:

4[tex]x^{4}[/tex]

6[tex]x^{5}[/tex]

Step-by-step explanation:

For the first problem.  I am not sure what is going on with the -4.  Is it being added or multiplied by 2[tex]x^{2}[/tex]?  I left it out.

[tex](2x^{2}) ^{^{2} }[/tex] means 2[tex]x^{2}[/tex] (2[tex]x^{2}[/tex]) Which is 4[tex]x^{4}[/tex]

(2[tex]x^{2})\\[/tex]([tex]3x^{3)}[/tex]  multiple the 2 and the 3 and add the exonents

6[tex]x^{5}[/tex]

Find m ∠ A B C if B D is an angle bisector.

Answers

Answer:

Step-by-step explanation:

the answer would be 73 since the angle is split in half which means that they are both equal to each other

A movie theater charges $9.50 for an adult ticket to an evening showing of a popular
movie. To help the local animal shelter, the theater management has agreed to reduce
the price of each adult ticket by $0.75 for every can of pet food a customer contributes
to a collection barrel in the theater lobby. Which of the following shows both an
equation in which y represents the cost of an adult ticket in dollars for a customer who
contributes x cans of pet food, and the graph of the cost if a customer brings in 2, 5, 8,
or 10 cans of pet food?

Answers

The linear function that represents the cost of an adult ticket in dollars for a customer who contributes x cans of pet food is of:

y = 9.5 - 0.75x.

The graph is given by the image shown at the end of the answer.

How to define the linear function?

The general format of a linear function is given by the rule shown as follows:

y = mx + b.

The terms of the linear function are listed and explained as follows;

m is the slope, representing the rate of change of the output relative to the input.b is the y-intercept, representing the initial value of the funciton.

The values of these terms in this function are given as follows:

m = -0.75, as for each food contributed, the cost decays by 0.75.b = 9.5, as with no food contributed, the cost is of $9.5.

The costs for the amounts of cans are given as follows:

2 cans: y = 9.5 - 0.75(2) = 8.5 cans: y = 9.5 - 0.75(5) = 5.75.8 cans: y = 9.5 - 0.75(8) = 3.5.10 cans: y = 9.5 - 0.75(10) = 2.

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Katie ordered candle that cot $3 each from a webite. She wa charged a flat hipping fee of $6 and no ale tax. If he pent a total of $54, which equation can be ued to find c, the number of candle he ordered?

3c = 54
6c = 54
3c 6 = 54
3c – 6 = 54

Answers

Equation can be used to find  the number of candles (c) Katie ordered is 54 = 3c + 6. correct option is (C).

given that

3c+6=54                            --------------------------------- (1)

reduce the greatest common factor on both side of the equation, we get:

2+ c= 18                            ----------------------------------(2)

rearranging the equation (2), we get,

c + 2 = 18

⇒ c = 18 - 2

⇒ c= 16

∴ putting the value of c in option 3, we get,

    3 X 16 + 6 = 54

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The question was incomplete. Check below the complete question.

Katie ordered candle that cot $3 each from a webite. She wa charged a flat hipping fee of $6 and no ale tax. If he pent a total of $54, which equation can be ued to find c, the number of candle he ordered?

A. 3c = 54

B. 6c = 54

C. 3c + 6 = 54

D. 3c – 6 = 54

A security lighting system spreads its illumination over an angle of 40° to a distance of 48 m. Convert the angle to radians and use the result to find the sector area that is lit, correct to 3 significant decimal places.

Answers

The angle in radians and the sector area are 2/9 π and 804.248 m² respectively

How to calculate the sector area lit by the system?

A sector of a circle is the part of a circle made of the arc along with its two radii

Given:  angle = 40° and distance(r) = 48m

To convert the angle to radians, multiply the angle by π/180:

Angle in radian(α) = 40 x π/180  = 2/9 π radian         (Note: π = 180°)

The formula for sector area = (α×r²)/2

Thus, sector area = (2/9π × 48²)/2 = 804.248 m²

Therefore, the angle in radians is 2/9 π and the sector area is 804.248 m²

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9. Janice was creating goodie bags for her party. She has 24 lollipops and 36
pieces of gum. After she bagged the candy, there was the same amount of
contents in each bag. What is the greatest number of bags she can create
with no pieces of candy left over?

Answers

Answer:

6

Step-by-step explanation:

24/6 = 4

36/6 = 6

6 bags, 4 lollipops and 6 pieces of gum in each bag.

Answer:

12 bags

Step-by-step explanation:

You would need to find the GCF of both numbers: 12

24*12 = 2

38*12 = 4

12 bags with 2 lollipops and 4 pieces of gum in each

(03.01 LC) The LCM of 8 and 10 is _______. (

Answers

Answer:

Step-by-step explanation:

1. Definition of Least common multiple: The least common multiple of two numbers is the smallest number that is a multiple of both of the numbers

2. Find the LCM 8 and 10=

Multiplies of 8= 8,16,24,32,40....

Multiplies of 10= 10,20, 30,40 ,50....

3. We found it!

40 is the least common multiple!

How many different seven-letter sequences can you make by rearranging the following 12 letters and symbols {c,a,t,h,e,r,i,n,e,!,?,$}? duplicates from the list of 12 are not allowed, and order matters. (enter your answer as a whole number, and please do not put commas in your answer.)

Answers

A permutation is an arrangement of objects in a specific order

i.e. AB ≠ BA

In Permutation order is important.

Here there are 12 Letters and symbols

Out of which E is repeated.

here we are given that duplicates from the list of 12 are not allowed, and We see that letter E is repeated.

So There are 12 letters in all, out of which we need 7 letters and symbol, where order is important.

So formula for permutation is nPr = [tex]\frac{n!}{(n-r)!}[/tex] where ! is called fractional symbol n! = n*(n-1)*(n-2)

*3*2*1x! = reputation of any word.

So Permutation with reputation of any letter or object is [tex]\frac{nPr}{x!}[/tex]

for example 4! = 4*3*2*1 = 24

So the answer is,

12P7 = [tex]\frac{12!}{2!*(12-7)!} = \frac{12!}{5!*2!} = \frac{12*11*10*9*8*7*6*5!}{5!*2!}[/tex] If we cancel 5! from both numerator and denominator.

12P7 = 12*11*10*9*8*7*3 = 1995840

So the answer is 1995840.

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Factor the expression. 4x + 16. The factored expression is

Answers

Answer:

4 (x+4)

Step-by-step explanation:

4x+16      =     4 * x   +   4*4    =   4 (x+4)

The midpoint of a segment with endpoints (10, a) and (b, 6) is (-1, -1). What are the values of a and b?
A. a=12, b=6
B. a=-8, b=-12
C. a= 12, b=-8
D. a= -12, b=-8

Answers

Applying the midpoint formula, the values of a and b are:

B. a = -8, b = -12

How to Apply the Midpoint Formula?

The midpoint formula is used to find the coordinates of the midpoint of a segment, which is given as:

M(x, y) = [tex](\frac{x_2 + x_1}{2}, \frac{y_2 + y_1}{2})[/tex].

Given the points below:

(10, a) = [tex](x_1, y_1)[/tex]

(b, 6) = [tex](x_2, y_2)[/tex]

M(-1, -1) = (x, y)

Plug in the values:

(-1, -1) = [(b + 10)/2, (6 + a)/2]

Solve the variables separately

-1 = (b + 10)/2

-2 = b + 10

-2 - 10 = b

b = -12

-1 = (6 + a)/2

-2 = 6 +a

-2 - 6 = a

a = -8

The answer is: B. a = -8, b = -12

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A manufacturing machine has a 7% defect rate. If 4 items are chosen at random, what is the probability that at least one will have a defect?.

Answers

A manufacturing machine has a 7% defect rate. If 4 items are chosen at random,

The probability of randomly choosing atleast one defective item would be 0.3043

Given the Parameters :

   Defect rate = P(defect) = 0.07

Probability = required outcome / Total possible outcomes

   P(atleast 1 is defective) = 1 - P(none is defective)

P(not defective) = 1 - P(defective) = 1 - 0.07 = 0.93

P(none is defective) = P(non defective)^4

P(none defective) = 0.93 × 0.93 × 0.93 × 0.93 = 0.7480

P(atleast one is defective) = 1 - 0.7480 = 0.252

Therefore, probability of atleast one defective item is 0.252.

Hence the answer is, the probability of randomly choosing atleast one defective item would be 0.3043

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A taxi company charges a flat fee of $5.50 plus an additional $1.50 per mile. Write an equation in slope-intercept form that represents the total cost, c, of a ride that is m miles long.

Answers

Following y=mx+b
-m would be the amount the fee changes
-c replaces x which would be the unknown variable
-b represents the starting principle

So the answer would be y=1.50x+5.50

3. Determine an exact value for the following expression
{sec π/4 cos 2π/3}/{tan π/6 csc 3π/4}

Answers

The exact value for the following expression {sec π/4 cos 2π/3}/{tan π/6 csc 3π/4} is - [tex]\sqrt{3} /2[/tex]

The expression is given that

{sec π/4 cos 2π/3}/{tan π/6 csc 3π/4}

Here we have to use the trigonometric functions

Find the each values of the term

sec π/4 = 1 / cos π/4

= 1 / (1 / [tex]\sqrt{2}[/tex] )

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

Next term is cos 2π/3

cos 2π/3 = -1 / 2

Next term is tan π/6

tan π/6 = [tex]\sqrt{3}[/tex] / 3

Next term is csc 3π/4

csc 3π/4 =  [tex]\sqrt{2}[/tex]

Substitute the values in the expression

{sec π/4 cos 2π/3}/{tan π/6 csc 3π/4}

= (    [tex]\sqrt{2}[/tex] × (-1/2) ) / ( [tex]\sqrt{3}[/tex] / 3 ×  [tex]\sqrt{2}[/tex])

= - [tex]\sqrt{3} /2[/tex]

Hence, the exact value for the following expression {sec π/4 cos 2π/3}/{tan π/6 csc 3π/4} is - [tex]\sqrt{3} /2[/tex]

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There are 7 boxes,which contain a total of 63 sweaters in a store's warehouse if the store needs 36 sweater how many boxes should they take out from the warehouse?

Answers

They take out one box from the warehouse because one box is sufficient for the requirement of 36 sweaters.

What is the number system?

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.

There are 7 boxes, which contain a total of 63 sweaters in a store's warehouse.

The store needs 36 sweaters.

Here one box is sufficient for the requirement of 36 sweaters because it contains 63 sweaters.

Therefore, they take out one box from the warehouse.

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Emmanuel started a business selling watches. He sells each watch for 30% more
than he pays for them. Last week, he sold 7 watches for a total of $455. How much
money does Emmanuel pay for each watch?

Answers

Emmanuel paid $50 for each watch.

What is profit?

Profit describes the financial benefit realized when revenue generated from a business activity exceeds the expenses, costs, and taxes involved in sustaining the activity in question.

Given that, Emmanuel started a business selling watches. He sells each watch for 30% more than he pays for them. Last week, he sold 7 watches for a total of $455.

Let the original price of each watch be x

According to question,

x*130% = 455/7

x = 65*100/130

x = 50

Hence, Emmanuel paid $50 for each watch.

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A parabola has a vertex at (-3,2) and is opening left. Where is the axis of symmetry?.

Answers

A parabola has a vertex at (-3,2) and is opening left.

A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.

So, a parabola has a vertex at (-3,2).

Now where is the axis of symmetry?

• Parabola opens downward or upward. The concept of the axis of symmetry is that, it is a line that when you fold the graph it will be one.

• in y=a(x-h)2+k where vertex is at (h,k), the axis of symmetry is x=h

Hence the answer is X=-3

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Fatuma invests a total of $30,000 in two accounts paying 5% and 13% annual interest, respectively. How much was invested in each account if, after one year, the total interest was $2,460.00.

Answers

The amount invested in the account that yields a 5% interest is $18,000.

The amount invested in the account that yields a 5% interest is $12,000.

How much was invested in each account?

The system of equations that represent the question is:

a + b = 30,000 equation 1

0.05a + 0.13b = 2460 equation 2

Where:

a = amount invested in the account that yields a 5% interest b= amount invested in the account that yields a 13% interest

The elimination method would be used to solve the system of equations.

Multiply equation 1 by 0.05

0.05a + 0.05b = 1500

Subtract equation 3 from equation 2:

0.08b = 960

Divide both sides of the equation by 0.08:

b = 960 / 0.08

b = $12,000

Substitute for b in equation 1:

a + 12,000 = 30,000

a = 30,000 - 12,000

a = 18,000

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please help me this is geometry

Answers

Answer:

largest angle is angle L

Step-by-step explanation:

the angle across the largest side of the triangle is the largest angle

tina's score on her midterm exam was at the 50th percentile. the grades were normally distributed. the exam average was 78 and the standard deviation was 6. what was tina's score on the exam?

Answers

If Tina's score is in the 50th percentile and the grades were normally distributed, Tina's score on the exam is 78.

A percentile refers to the comparison score between a particular score and the scores of the rest of a group. It represents the percentage of scores that a specific score surpassed. For example, if the score of 75 points on a test is ranked in the 85th percentile, it implies that the score 75 is higher than 85% of the scores. The 50th percentile, which is also the median score implies that 50% of the score is below or above the average score in a normally distributed data. In the given situation, if the grades are normally distributed with a mean of 78, that implies that 50% of the scores are above 78 and 50% of the scores are below 78. The standard deviation in this case is irrelevant. As Tina’s score is at the 50th percentile, her score on the exam would be 78.

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The price of an item has dropped to 42$ today. Yesterday it was 60$ . Find the percentage decrease.

Answers

80 percent decrease

CAN SOMEONE DO THESE 4 QUESTIONS RQ??
Solve the equations by using either the square root method or the factoring method.
1. x²-7= 18

2. x² + 2x -24 = 0

3. 4x² + 2 =38

4. 2x² + 5x -3=0

Answers

The solutions of the given equations are:

1. x = 5, -5

2. x = -6, 4

3. x = 3, -3

4. x = 1/2, -3

What is factorization?

Writing a number or other mathematical object as the result of numerous factors—typically smaller or simpler objects of the same kind—is known as factorization or factoring in mathematics.

Here, we have

1. x²-7= 18, by applying factorization

x² = 18 + 7

x² = 25

x = 5, -5

2. x² + 2x -24 = 0, by applying factorization

x² + 6x - 4x - 24 = 0

x(x+6)-4(x+6) = 0

(x-4)(x+6) = 0

x = 4,-6

3. 4x² + 2 = 38, by applying factorization

4x² = 36

x² = 9

x = 3, -3

4. 2x² + 5x -3 = 0, by applying factorization

2x² + 6x - x - 3 = 0

2x(x +3) -1(x+3) = 0

(2x-1)(x+3) = 0

x = 1/2, -3

Hence, The solutions of the given equations are:

1. x = 5, -5

2. x = -6, 4

3. x = 3, -3

4. x = 1/2, -3

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Solve for x. 3x^3/5 +6=30

Answers

x = [tex]\sqrt[3]{40}[/tex]  = 3.42 ( approx.) is the value of x by given equation .

What are exponents ?

We often read numbers in words like hundred, thousand, hundred thousand, and ten million. Which number has more digits than we can read? For example, the mass of the Earth is 5972190000000000000000000 kg. This cannot be read in simple words. Therefore, exponents are used to pronounce these kinds of numbers.

Exponents can be observed in four different types: positive, negative, zero, and rational/fractional. Numerical values ​​can be interpreted  using exponents as the total number of times a base must be multiplied by the same base.

Calculation

3x^3/5 = 24

3x^3 = 120

x^3 = 40

x = [tex]\sqrt[3]{40}[/tex]  = 3.42 ( approx.)

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which ordered pair is a solution of the equation?
y+1=3( x-4)
a.only (4,-1)
b.only (5,2)
c.both (4,-1) and (5,2)
d.neither

Answers

Answer:

C. Both

Step-by-step explanation:

You would substitute the coordinates into the equation to find the answer.

(4,-1)

-1 + 1 = 3 (4-4)

0 = 0

(5,2)

2 + 1 = 3(5-4)

3 = 3

a circular pool is surrounded by a brick walkway 3 m wide. find the ra- dius of the pool if the area of the walk- way is 198 m*.

Answers

The radius of the pool is 9.01 m.

Given,

In the question:

A circular pool is surrounded by a brick walkway 3 m wide.

The area of the walk- way is 198 m^2.

To find the Radius of the pool.

Now, According to the question:

"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".

Let R = Radius of the pool

Area of the circle bounded by the outside edge of the walkway is:

[tex]\pi[/tex](R +3)^2

Area of the pool is:

[tex]\pi R^2[/tex]

Now, Our equation is:;

[tex]\pi[/tex](R +3)^2 - [tex]\pi R^2[/tex] = 198

[tex]\pi[/tex]((R+3)^2 - [tex]R^2[/tex]) = 198

Open the inner bracket :

[tex]\pi[/tex]([tex]R^2+6R+9-R^2[/tex]) = 198

[tex]\pi[/tex](6R +9) = 198

6R+9 = 198/[tex]\pi[/tex]

6R = 198/[tex]\pi[/tex] - 9

R = (198/[tex]\pi[/tex] - 9)/6

R = (198/(3.14) - 9)/6

R = (63.057 - 9)/6

R = 54.057/6

R = 9.01 meters

Hence, The radius of the pool is 9.01 m.

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what is the image of the point (-7,-6) after a rotation of 270 degrees counterclockwise

Answers

The image of the point after the rotation is:

(-6, 7)

What is the image of the point after the rotation?

We have the point (-7, -6) and we want to apply a rotation of 270° counterclockwise.

This is equivalent to a rotation of 90° clockwise, so we will go from the third quadrant to the second quadrant, such that:

The x-component will be equal to the original y-component.The y-component will be equal to the original x-component,  but positive.

Then the image after the rotation is:

(-6, 7)

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Can somebody help me on this

Answers

Answer:

Ummm I dont even kno but s1

Step-by-step explanation:

Question 3 of 5
What is the fractional equivalent of the repeating decimal 0.5?
5
O A.
OB.
O C. 1
O D. 1/2
59
9

Answers

0.5 is equal to 1/2

So the answer is D

\sum _{n=1}^{9}(7n-17)
n=1
∑ (7n−17)
9

Answers

Answer:

  162

Step-by-step explanation:

You want the sum of the first 9 terms described by ...

  a[n] = 7n -17

Add the terms

There are several ways the sum can be found. Most straightforward is simply adding up the terms:

  For n=1, 7n-17 = -10

  For n=2, 7n -17 = -3

The remaining 7 terms are 4, 11, 18, 25, 32, 39, 46.

The sum is ...

  -10 -3 +4 +11 +18 +25 +32 +39 +46 = 162

Arithmetic sequence

The terms form an arithmetic sequence with first term -10 and last term 46. The sum will be the average term multiplied by the number of terms:

  ((-10 +46)/2)(9) = 18(9) = 162

Sum formulas

The sum can be decomposed into the sums whose formulas we know:

  [tex]\displaystyle \sum_{n=1}^9(7n-17)=7\sum_{n=1}^9{n}-17\sum_{n=1}^9{1} =7\cdot\left.\dfrac{n(n+1)}{2}-17n\right|_{n=9}\\\\= 7\cdot\dfrac{9\cdot10}{2}-17(9)=315-153=\boxed{162}[/tex]

solve each system by substitution 5x+4y=-16 y= 2x+9 what is the anwser

Answers

x=-20/13 and y=77/13 are solutions of 5x+4y=-16 and y= 2x+9

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The two equations are

5x+4y=-16 ...(1)

Five x plus 4 y equal to minus sixteen.

y= 2x+9 ...(2)

y equal to two times of x plus nine.

Substitute 2 in 1.

5x+4y=-16

5x+4(2x+9)=-16

5x+8x+36=16

13x+36-16=0

13x+20=0

13x=-20

x=-20/13=-1.53

substitute the value of x in y.

y=2(-20/13)+9

y=(-40+117)/13

y=77/13

Hence the value of x is -20/13 and y value is 77/13.

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A set of history exam scores are normally distributed with a mean of 83. 283. 283, point, 2 points and a standard deviation of 888 points. What proportion of exam scores are between 828282 and 89. 289. 289, point, 2 points? you may round your answer to four decimal places.

Answers

The Proportion of exam results between 82 and 89.2 points is 0.3330.

What is standard deviation?

A measurement of a data set's deviation from the mean is referred to as "standard deviation" (or ""). A low standard deviation means that the data are grouped around the mean, whereas a large standard deviation says that the data are more spread out..

For instance, the mean of the two integers 2, 7, 14, 22, 30 and 15, 15, 15, 14, 16 is the same. But the second is clearly more diffused.

Given:

Mean is 83.2 points, and

8 points is the standard deviation.

Consequently, the proportion is

P(82 ≤ x ≤ 89.2)

=P( 82- 83.2 / 8 ≤ z ≤ 89.2 - 83.2/8)

=P (0.75) - P(-0.15)

=0.7734 -(0.4404)

= 0.3330

So, the Proportion of exam results between 82 and 89.2 points is 0.3330.

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According to the Document, what type of military weapons were in Cuba? Although the Bay of Pigs had been a failure, Castro still feared a future invasion by US forces. Knowing he needed a strong ally, Castro allowed the Soviets to secretly put nuclear missiles in Cuba, just 90 miles off the coast of Florida. When US spy planes spotted these missiles in October 1962, Kennedy responded by authorizing a naval blockade of the island. For 13 days, the world watched as the Cuban Missile Crisis brought the two superpowers to the brink of nuclear war. Finally, after heated arguments in the UN and much diplomatic maneuvering, Khrushchev agreed to withdraw the missiles in exchange for a US pledge not to invade Cuba, in addition, the US also offered the Soviets a secret assurance that it would eventually remove US missiles stationed in Turkey as well. this is a bond provision that specifies the annual repayment schedule that will be used to service the bond and pay off the debt. A line has a slope of -4 and includes the points (-9, -9) and (r, -5). What is the value of r? what is the value of r? If you have to pay your car insurance deductible which is the best place to get the money brainly. Marques is a high school basketball player. In a particular game, he made some three point shots and some free throws (worth one point each). Marques made a total of 8 shots altogether and scored a total of 12 points. Determine the number of three point shots Marques made and the number of free throws he made. tillage over the long-term will deplete organic matter and cause a loss of soil structure, including soil aggregation and pore space. group of answer choices true false The concept that engaging in a behavior over and over again can lead to changes in your brain is known as ______________. How many rows are left? Which property of fossils allows scientists to determine the relative ages of rock layers?. Objective: I can Analyze how the incidents in training camp develop comradeship between the soldiersby Writing one to two sentences about how incidents in chapter 3 reveal comradeship among the men. IXL Help Fast Please ! Which step in the penetration testing life cycle is accomplished using rootkits or trojan horse programs?. Harry asked a sample of 444 people how many siblings they had. Here are their responses: 0, 0, 1, 30,0,1,30, comma, 0, comma, 1, comma, 3 The mean is \bar x =1 x =1x, with, \bar, on top, equals, 1 sibling. Which of these formulas gives the standard deviation? Choose 1 answer: a child has been recently diagnosed with mild intellectual developmental disorder (idd). what information about this diagnosis should the nurse include when teaching the child's mother? In the video about the construction of the insect phylogeny, the researchers faced the problem that there was not enough computational power in all of the world to construct every possible tree. What was the researchers solution?. Which eye muscle sends its tendon of origin through a pulley or trochlea before inserting on the globe?. Fill in the blanks with the right degrees of comparison of the adverb given in each bracket.1. My aunt welcomed me _________. My cousin welcomed me __________ than my aunt. My grandpa welcomed me _________ of them all. (warmly) 2. Sheshan enjoyed the picnic. Hari enjoyed the picnic _______ than Sheshan. Sridhar enjoyed it __________ of them all. (much) 3. Roshni works __________ as a computer engineer. Neeta works ____________ as a computer engineer than Roshni. Mukta works __________ among them all. (efficiently) Worldwide, what is the estimated percentage of people around the world who are obese?. A shed for holding sports equipment is 180 incheslong. There are 12 inches in 1 foot. How many feetlong is the shed? Name the biggest delta in the world?