Find the component form of the vector that translates A(-4,8) to A'(7,-9)

Answer:

u : -7

So the points are (0,-4) and (-7,-5)

Slope: 1/7

The number of hardcover books is 24 and the number of the softcover book is 36.

Here we have to find the number of hardcover and softcover.

Here it is given that 60 books are there.

Let x be the number of hardcovers, so the number of software books is 60- x.

The weight of each hardcover is 26 ounces and of softcover is 12 ounces.

The total weight is 1056 ounces.

So we get:

26x + ( 60 -x) 12 = 1056

26x - 12x + 720 = 1056

14x = 336

x = 24

60-x = 60 -24 = 36

Therefore the number of hardcovers is 24 and the number of softcovers is 36.

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The complete question:

There are 60 books that are either hardcover or softcover. The hardcover books each weigh 26 ounces. The softcover books each weigh 12 ounces. The books weigh 1,056 ounces in all. Find the number of hardcover and softcover books are there.

Answer:

5/4

Step-by-step explanation:

Count up from the first point to the line where the second point lies, then write that number and count to the side till you reach the second point which would give you 5/4.

Answer: x ≈ 2.67

Step-by-step explanation:

    To solve, we will isolate the variable with reverse operations.

    Given:

[tex]\displaystyle x^2=\frac{521}{73}[/tex]

    Square root both sides of the equation:

[tex]\displaystyle x=\sqrt{\frac{521}{73}}[/tex]

    Evaluate:

x = 2.6715138 ... ≈ 2.67

Step-by-step explanation:

what does it mean for an object to stay at the same height ?

come on, you cannot tell me you don't understand this.

it means that e.g. the object is at a certain height (e.g. 50 ft above the ground) at the beginning of a time interval. then 1 seconds later it is still at the same height. 1 seconds after that it is still at this height. and so on.

how do you think that shows on a chart that displays height on an up or down scale ? as a flat (horizontal) line.

the chart is simply a rough picture of what the object does in real life.

so, where do we have flat (horizontal) segments in the curve ?

between second 2 and second 6.

and then infinitely after second 12.

in interval notation

[2, 6] and [12, +infinity)

please note the round bracket on the infinity side. it means the indicated end of the interval is not included. that is, because infinity is just a concept and not a number. it can never be reached. and it is therefore not included in the interval itself.

FYI - the flat line between second 2 and second 6 is not possible in real life, unless it rolls on a flat surface or something is holding it steady in place for these 4 seconds.

but a flying ball can never have a pure flat curve regarding height. only when it comes at rest on the ground. gravity would not allow that. not even for a bullet shot by a gun.

Answer:

The slope is 2/3

Step-by-step explanation:

y is 4 and x is 6 so it will be 4/6 then divide 2

4:2 = 2

6:2 = 3

2/3

Answer:

18/7

Step-by-step explanation:

check this might work as I simply

The cold water faucet will fill the tub on its own in 5.6 minutes.

Let us assume the time taken by cold water faucet to fill the tub be x minutes. Now, the rate of hot water faucet to fill the tub = 1/14

Combined rate of filling by both faucets = 1/4

Rate of filling by hot water faucet + Rate of filling by cold water faucet = Rate of filling of tub by combination of two faucets

1/14 + 1/x = 1/4

1/x = 1/4 - 1/14

1/x = (14 - 4)/(4×14)

1/x = 10/56

x = 56/10

x = 5.6 minutes

Thus, cold water faucet will take 5.6 minutes.

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The complete question is -

Left on together, the cold and hot water faucets of a certain bathtub take 4 minutes to fill the tub. if it takes the hot water faucet 14 minutes to fill the tub by itself, how long will it take the cold water faucet to fill the tub on its own?

Answer:

part A= 3

Part B= 15$

Step-by-step explanation:

Part A= 10-7=3
Part B = 5*10 =50 7*5= 35 50-35= 15$

0.0912   is the probability that the score will be 120 or higher .

What is probability explain with an example?

Zlower = X₁ - μ/σ  = 120 - 100/15  = 1.33

the probability is compared as

                    Pr ( X ≥ 120 ) = Pr(X - 100/15 ≥ 120 - 100/15)

                                         = Pr(Z ≥ 120 - 100/15

                                          = Pr( Z ≥ 1.33)

                                          = 0.0912

Since 0.0912 > 0.05 i.e. this IQ score is not unusual and hence I can believe the claim.

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Answer:

5 is > -4

Step-by-step explanation:

5 is greater than or equal to -4

i think this is the answer

Answer:

Step-by-step explanation:

0.0010928961748634

but 50,325 divided by 55 is 915

The number of feet for the fencing needed for the entire animal pen will be 36 feet. Then the correct option is C.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

In a computer game, Shar needs to construct a pen molded like a right triangle for her creatures. Assuming she wants 9 feet of wall for the most limited side and 15 feet of wall for the longest side.

Then the third side of the triangle is given as,

⇒ √(15² - 9²)

⇒ √(225 - 81)

⇒ √144

⇒ 12 feet

Then the perimeter of the triangle is given as,

P = 9 + 12 + 15

P = 36 feet

The number of feet for the fencing needed for the entire animal pen will be 36 feet. Then the correct option is C.

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Answer: 36

Step-by-step explanation: srry if wrong i used this online calculator

The distance from coordinates p (5, 7) to coordinates (–2, 1) and (4, 1) in line n are  9.21 units and 6.08 units respectively.

The distance between two points is defined as the length of the line segment between two places representing their distance.

The distance from coordinates p (5, 7) to coordinates (–2, 1) in line n will be

⇒ √[(-2-5)² + (1-7)²]

⇒ √[(-7)² + (-6)²]

⇒ √[49 + 36]

⇒ √85

⇒ 9.21 units

The distance from coordinates p (5, 7) to coordinates (4, 1) in line n will be

⇒ √[(4-5)² + (1-7)²]

⇒ √[(-1)² + (-6)²]

⇒ √[1 + 36]

⇒ √37

⇒ 6.08 units

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A statement that explains whether 0.1515 is rational: Yes, because 0.1515 is a repeating decimal, so it can be expressed as a ratio of integers.

The correct answer is an option A

We need to select a correct statement that explains whether 0.1515 is rational.

We can observe that 0.1515 is the recurring decimal 0.15

This decimal can be written as a ratio of two integers.

Consider numerator = 5 and the denominator = 33.

So, 5/33 = 0.1515..

This means, 0.1515 can be expressed as p/q where p, q are integers with q ≠ 0

Therefore, a statement that explains whether 0.1515 is rational: Yes, because 0.1515 is a repeating decimal, so it can be expressed as a ratio of integers.

The correct answer is an option A

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The linear inequality is y≥ 245 and x ≥ 2y/25.

Linear Inequality:

Linear inequalities are defined as mathematical expressions in which two expressions are compared using the inequality symbol. The expression can be an algebraic expression or numerical expression or a combination of both.

Here it is given that x represents the teacher y represents the student.

It is given that no fewer than 2 teachers per 25 students.

x/y > 2/25

It is given that at least 245 students enrolled in the school.

As per the given condition,

The linear inequality for the students:

y≥ 245

Now the possible number of teachers (x).

As per the condition the required inequality for teachers will be:

x ≥ 2(y/25)

x≥ 2y /25.

Therefore the linear inequalities are y≥ 245 and x ≥ 2y /25.

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a. The equation in a point-slope form that represents distance as a function of time is  (y - 6)= (1/5)(x - 30).

b. The slope and y-intercept are (1/5) and 0 respectively.

c. In 4 hours I can bike for 40 miles.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

We know the equation of a line in point-slope form is (y - y₁) = m(x - x₁).

Given, x represents time in minutes and y represents the distance in miles.

Let us take two ordered pairs (30, 6) and (40, 8).

Slope(m) = (y₂ - y₁)/(x₂ - x₁).

Slope(m) = (8 - 6)/(40 - 30).

Slope(m) = 2/10.

Slope(m) = 1/5.

∴ The equation of the line that represents distance as a function of time

is (y - 6)= (1/5)(x - 30).

Let y = mx + b.

6 = (1/5)30 + b.

6 = 6 + b.

b = 0.

So, y-intercept(b) = 0 and slope(m) is 1/5.

I can bike in 4 hours or (4×60) = 240 minutes is,

y = (1/5)(240) + 0.

y = 48 miles.

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John is taller then Ryan, John is 0.08 feet taller then Ryan when John is 5 1/3 feet tall, whereas Ryan is 5 1/4 feet.

Given that,

John is 5 1/3 feet tall, whereas Ryan is 5 1/4 feet.

We have to find who is tall and how much is tall.

A fraction that has the numerator higher than or equal to the denominator is said to be improper.

Take the Ryan,

5 1/4 feet

21/4 feet

5.25 feet tall Ryan.

Take the John,

5 1/3 feet

16/3 feet

5.33 feet tall John.

We can see that John is taller then Ryan.

John is 0.08 feet taller then Ryan.

Therefore, John is taller then Ryan, John is 0.08 feet taller then Ryan when John is 5 1/3 feet tall, whereas Ryan is 5 1/4 feet.

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The number of boxes that the delivery person can carry at a time is less than or equal to 15.

Given,

The weight of the delivery person = 160 lb

The weight of one box of books he carries = 60 lbs

The maximum capacity of the elevator = 1110 lb

We have to find the number of boxes of books can the delivery person bring up at one time;

Let x be the number of boxes;

Then,

The number of boxes that the delivery person can carry at a time;

160 + 60x ≤ 1110

60x ≤ 1110 - 160

x ≤ 950/60

x ≤ 15.8

That is,

The number of boxes that the delivery person can carry at a time is less than or equal to 15.

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If the minimum 30 chairs were sold , then the minimum number of Tables sold is 10.

Given as :

The cost of each chair = $ 200

The cost of each table = $ 600

The total number of furniture sold per day = 40

The minimum amount of selling per day = $ 12000

Let the total number of chair = C

The total number of table = T

So , according to question

C + T = 40        .......1

200 C + 600 T = 12000         .......2

Solving eq 1 and 2

200 C + 600 T = 12000

200 × ( C + T ) = 40 × 200

i.e 200 C + 200 T = 8000

or, ( 200 C + 600 T ) - ( 200 C + 200 T ) = 12,000 - 8000

Or, 400 T =  4000

i.e T = 10

Put The value of T in eq 2

So, 200 C + 600 × 10 = 12000

or , 200 C + 6000 = 12,000

Or, 200 C = 12000 - 6000

Or, 200 C = 6000

i.e C = 30

The number of chair sold is 30

If the number of chair sold is 10 ,

Then the min number of table sold = 200 × 30 + 600 T = 12000

i.e 600 T = 12000 - 6000

or, 600 T = 6000

∴   T = 10

I.e T = 10

Hence, if the minimum 30 chairs were sold , then the minimum number of Tables sold is 10 .

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Answer:

-8 and then the second one is -11

Step-by-step explanation:

Answer:

Step-by-step explanation:

it’s negative 3

The area of the field is 4140 square yards.

A rectangle is a quadrilateral with all four interior angles 90°.

Given that, the perimeter of the field is 302 yards.

Let the length and width of the field be l and w respectively.

Given that, the length is 7 yards longer than three times its width, therefore,

l = 7 + 3w

The perimeter of the field is given by:

2(l +w) =302

l + w = 151

w = 151 - l..........(1)

Substitute l = 7+3w into the above equation:

w = 151 - 7 - 3w

w + 3w = 144

4w = 144

w = 36

Substitute w = 36 into equation (1):

36 = 151 - l

l = 151 - 36

l = 115

The area of the field is:

l × w

115 × 36

=4140

Hence, the area of the field is 4140 square yards.

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Answer:

y = 2

Step-by-step explanation:

x + y = 8

6 + y = 8  Subtract 6 from both sides of the equation

y = 2

The length of the side chosen in order to make the cardboard box is 7cm in the square.

What is square?

Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognised by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.

We are given that rajiv wishes to make a cube without lid with cardboard.

5a² = 245 sq.cm

a² = 245/5 = 49

a = 7 cm

Hence the length of the side chosen in order to make the cardboard box is 7 cm.

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Answer:

  (d)  Yes, it is proportional because the farmer collected 180 bushels for every 1 acre harvested.

Step-by-step explanation:

You want to know if the ratios 4 acres : 720 bushels and 7 acres : 1260 bushels represent a proportional relationship.

A relationship is proportional if the ratio of the dependent variable to the independent variable is a constant. We can check this for the numbers given:

  (720 bu)/(4 ac) = 180 bu/ac

  (1260 bu)/(7 ac) = 180 bu/ac

The ratios are the same, 180 bushels for each acre, so the relationship is proportional.

Answer:

 (d)  Yes, it is proportional because the farmer collected 180 bushels for every 1 acre harvested.

Step-by-step explanation:

I took the exam and got it right

Answer:

ofco 1+1=2

Step-by-step explanation:

abc that's why

Answer:

rise/run

(10-g)/(2-0) must equal 6

(10-g)/2 = 6

10-g = 12

-g = 2

g = -2

Answer:  Total distance 2√10

Step-by-step explanation:

Answer: nothing it’s a variable