How much work is performed lifting in order to lift a 50.0 kg block 7.00 meters? Use g=9.81 m/s^2

The amount of medicine infused in 8 hours is 1000ml.

According to the statement

we have given that the medicine normal saline (ns) iv to infuse at 125 ml/hr.

and we have to find the total amount of medicine infuse in the 8 hours in the whole number value.

So,

An infusion is the creation of a new substance by steeping another substance in a liquid, usually water

we have given a rate of infusion of medicine per hour which is 125 ml/hr.

And

Amount of medicine infuse in 1 hour is 125 ml

And the Amount of medicine infuse in 8 hours = 125*8

Amount of medicine infuse in 8 hours = 1000 ml.

So, The amount of medicine infused in 8 hours is 1000ml.

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Answer:

24 % (to the nearest percent)

Step-by-step explanation:

the probability that the student is a graduate is equal to :

[tex]=\frac{\text{the total number of graduates} }{\text{the total number of students} }[/tex]

[tex]=\frac{2610}{10730} \\=0.243243243243[/tex]

Converting to percentage:

0.243243243243×100

= 24.3243243243 %

Answer:Answer: true

Step-by-step explanation: f(x) is a function because each x value (left oval) has one y value (right oval)!

Answer:

10 eggs

Step-by-step explanation:

We need to work out the price per unit :

12 eggs = rs 192

1 egg = rs 192÷12

1 egg = rs 16

? egg = rs 160

16×? = 160

? = 160÷16

? = 10

So our final answer will be 10 eggs

Answer:

10

Step-by-step explanation:

Hi! ⋇

               - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

The first digit of this number is 3², which is 9.

The Number is : 9xx

________

The second digit is: -2·(-4)=8.

The Number is : 98x.

________

The sum of all the digits is 18. This gives us an equation that we can solve in terms of x!

[tex]\multimap\sf{9+8+x=18}[/tex] (x is the digit we are looking for)

Now it takes a little arithmetic to find x :)

[tex]\multimap\sf{17+x=18}[/tex]. Just subtract 17 from both sides to find x!

[tex]\multimap\sf{x=1}[/tex]. And Now, can you see the number!

It's 981, of course :)

Hope this made sense to you!

             - - - - - - - - - - - - - - - - - - - - - - - -  - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\large\it{\overbrace{Calligrxphy}}[/tex]

There is a total of 10 games played.

There are 5 players, If we select a given player, then that player will play one game with each of the other 4 players.

So we have 4 games at the moment.

Now we select one of the other 4 players, (we don't count the one we choose before). The one that we choose now will play one game wich each one of the remaining 3, so we add 3 more games.

Now we do the same with the remaining 3, this time we add 2 more games.

Now we do that with the remaining 2, now we add 1 more game.

Adding all the games we have:

4 + 3 + 2 + 1 = 10

There is a total of 10 games played.

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Answer:

10 years old

Step-by-step explanation:

Let m = mother's age

Let f = father's age

Let d = Dina's age

m = 4d               d = f-35                f = m+5

Substitute the middle equation in to the first equation

m = 4(f - 35) Use the distributive property

m = 4f - 140 subtract 4f from both sides

*m -4f = -140

In equation 3 above, subtract m from both sides  to get

f = m+5

f - m = 5  rearrange so that the  m term is first

*-m + f = 5  

Now add the equations together that have *

m -4f = -140

-m + f = 5

     -3f = -135  Divide both sides by -3

f = 45  This is the father's age.  To find Dina's age, plug 45 into the second equation above:

d = f -35

d = 45 -35

d = 10.

To find the mom's age, use the third equation:

f = m+5

45 = m + 5

40 = m

You can check this by plugging the answers you found and you can see that all three equations are solved.

m = 4d                        d = f - 35                 f = m + 5

40 = 4(10)                    10 = 45 - 35            45 = 40 + 5

40 = 40                       10 = 10                     45 = 45

Answer:

8, 10, 14

Step-by-step explanation:

1. 8² + 10² = 164 and 14² = 196, so this works.

2. 9² + 12² = 15² = 225, so this is a right triangle.

3. 10² + 14² = 296 and 17² = 289, so this is an acute triangle.

4. 12² + 15² = 369 and 19² = 361, so this is an acute triangle.

Answer:

a

Step-by-step explanation:

Taking into account the change of units, the total distance that he biked in his first month of training is 55.8 miles.

In first place, the rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

That is, what is intended with it is to find the fourth term of a proportion knowing the other three.  

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied.

To solve a direct rule of three, the following formula must be followed, being a, b and c known data and x the variable to be calculated:

a ⇒ b

c ⇒ x

So: [tex]x=\frac{cxb}{a}[/tex]

In his first month of training,Landon biked 3.1 miles and ran 0.75 miles each workout. He completed 18 workouts that month.

So you can apply the following rule of three: if for each workout Landon biked 3.1 miles, in 18 workouts he biked how far?

1 workout ⇒ 3.1 miles

18 workouts ⇒ total distance

So: [tex]total distance=\frac{18 workoutsx3.1 miles}{1 workout}[/tex]

Solving:

total distance= 55.8 miles

In summary, the total distance that he biked in his first month of training is 55.8 miles.

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it is true that a linear expression does not have a squared variable.

The following are the forms of a linear expression

y = mx + c

Ax + By = C

x = a

Notice that none of the above expressions have a squared variable

This means that, a linear expression does not have a squared variable.

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Answer:

the side length of hypotenuse is 16.28

Step-by-step explanation:

[tex]a^{2}+b^{2}=c^{2}[/tex]

= [tex]11^{2}+12^{2}= C^{2}[/tex]

= [tex]121+144=c^{2}[/tex]

= [tex]265= c^{2}[/tex]

= [tex]\sqrt{265} = c[/tex]

= [tex]c = 16.28\\[/tex]

Answer:

A = 42.5° (nearest tenth)

B = 47.5° (nearest tenth)

C = 90°

a = 11

b = 12

c = √(265) = 16.3 (nearest tenth)

Step-by-step explanation:

Information:

Side a is opposite angle A.

Side b is opposite angle B.

Side c is opposite angle C.

From inspection of the triangle:

To find the missing side length, use Pythagoras Theorem:

Pythagoras Theorem

a² + b² = c²

(where a and b are the legs and c is the hypotenuse of a right triangle).

Substitute the given values of a and b into the formula and solve for c:

⇒ 11² + 12² = c²

⇒ 121 + 144 = c²

⇒ c² = 265

⇒ c = √(265)

To find one of the missing angles, use the Sine Rule.

Sine Rule

[tex]\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

Substitute the given values into the formula:

[tex]\implies \sf \dfrac{\sin A}{11}=\dfrac{\sin B}{12}=\dfrac{\sin 90^{\circ}}{\sqrt{265}}[/tex]

Solve for angle A:

[tex]\implies \sf \dfrac{\sin A}{11}=\dfrac{\sin 90^{\circ}}{\sqrt{265}}[/tex]

[tex]\implies \sf \dfrac{\sin A}{11}=\dfrac{1}{\sqrt{265}}[/tex]

[tex]\implies \sf \sin A=\dfrac{11}{\sqrt{265}}[/tex]

[tex]\implies \sf A=\sin^{-1} \left(\dfrac{11}{\sqrt{265}}\right)[/tex]

[tex]\implies \sf A=42.51044708...^{\circ}[/tex]

Therefore, A = 42.5° (nearest tenth)

Interior angles of a triangle sum to 180°:

⇒ A + B + C = 180°

⇒ 42.5° + B + 90° = 180°

⇒ B + 132.5° = 180°

⇒ B = 47.5°

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Answer:

The chance of the committee being all boys is 28.57% or 29%

Answer:

113.04 ft^2

Step-by-step explanation:

area of the circle= 3.14*(6)^2

The correct answer is 7.

A linear equation only has one or two variables. In a linear equation, no variable can be multiplied by a value greater than one or used as the denominator of a fraction. When you find the values that collectively make a linear equation true and plot those values on a coordinate grid, all the points fall on the same line.

I am aware that this query's equation is,

6b + 6 = 48

subtract 6 from both side in the equation.

6b + 6 - 6 = 48- 6

6b = 42

now, divide by 6 from both side in the equation.

6b/6 = 42/6

b = 7.

Therefore, the correct answer is 7.

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I understand this is the question.

Oksana wrote the equation below on the whiteboard.

6 b + 6 = 48

What is the value of b?

(a)4

(b)7

(c)8

(d)9

Answer:

the cat would take 13 steps

The difference between the numbers given is 6.882.

Based on the information given, it should be noted that difference means subtraction.

The difference between the numbers given will be:

= 7 - (7 - 6.882)

= 7 - 0.118

= 6.882

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Given the area of the rectangular community garden, the length and width of the garden are 30ft and 10ft respectively.

A rectangle is a 2-dimensional shape with parallel opposite sides equal to each other and four angles are right angles.

Area of a rectangle is expressed as;

A = length × Width

Given the data in the question;

We substitute the values into the equation

A = length × breadth

300 = 3x × x

300 = 3x²

Divide both sides by 3

x² = 100

Take the square root of both sides

x = ±√100

x = 10, -10

Since, dimension of a rectangle cannot be Negative.

x = 10

Hence;

Width w = x = 10ft

Length = 3Width = 3x = 3( 10 ) = 30ft

Given the area of the rectangular community garden, the length and width of the garden are 30ft and 10ft respectively.

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The linear functions that match the following graph are given by:

A linear function is modeled by:

y = mx + b

In which:

The system of equations in this problem is composed by two lines.

The decaying line goes though (-2,4) and (2,-4), hence the slope is given by:

m = (-4 - 4)/(2 - (-2)) = -2

Hence:

y = -2x + b

When x = -2, y = 4, hence we find b as follows:

4 = -2(-2) + b

b = 0.

Hence:

y = -2x -> 2x + y = 0.

The increasing line goes though (1,-2) and (2,3), hence the slope is given by:

m = (3 - (-2))/(2 - 1) = 5

Hence:

y = 5x + b

When x = 1, y = -2, hence we find b as follows:

-2 = 5 + b

b = -7.

Hence:

y = 5x - 7.

-5x + y = -7.

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The survey shows that adding up the daily media use figures to obtain a report of weekly media use leads to the staggering number of more than 60 hours a week of media use by 11- to 14-year-olds.

It should be noted that a survey simply means a list of questions that are used to get information about a group.

In this case, the daily media use figures to obtain a report of weekly media use leads to the staggering number of more than 60 hours a week of media use by 11- to 14-year-olds.

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The distance from the base of the tree to the tallest would be 14.21 cm

X1 = 8 feet

y1 = 16 feet

x2 = 11 feet

y2 = 9 feet

To proceed with the solution we have to

We have to solve for the shorter tree

[tex]\sqrt{(y2 -y1)^2 + (x2-x1)^2} \\\\= \sqrt{9-0^2 + 11-0^2}[/tex]

= 9² + 11²

= √81 +121

= 14.21

√8² + 16²

= √64 +256

= 17.89

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Answer: On a coordinate plane, 5 points are plotted. The points are (1, 3), (2, 6), (3, 12), (4, 24), (5, 48).

Step-by-step explanation:

When x=1, f(x)=3. So, it passes through (1,3).

So, everything is eliminated except for option (4).

Answer:

D!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Option A is correct. If segment DC bisects segment AB, then point D is equidistant from points A and B because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects. This can be obtained using perpendicular bisector theorem.

Perpendicular bisector theorem : In a plane, if we choose a point, say D, on the perpendicular bisector,say PQ, drawn from segment, say AB, then the point D is equidistant from the endpoints, that is A and B, of the segment.

That is, perpendicular bisector PQ of line segment AB is the line with         Q = 90° and Q is the midpoint of AB ⇒ AQ = BQ. A point on PQ say D is equidistant from A and B ⇒AD and BD.

Thus in the given question we can use perpendicular bisector theorem.

Here DC is the perpendicular bisector of the line segment AB and therefore AD and BD are equal.

Hence it is clear that Option A is correct.

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Answer:

57pi

Step-by-step explanation:

First, let's get the area of the entire circle, including the shaded region:

pi*(8+3)^2 = 121pi

Next, let's get the area of the unshaded circle

pi*8^2 = 64pi

If we subtract the inner circle from the full circle, we get the shaded region:

121pi-64pi =

57pi

Answer: 57π

Step-by-step explanation:

You have to calculate the area of the whole circle created by the sum of the inner circle and the ring, so 8+2=11=r, now use the formua for getting area of a circle, π*r², which is "121π"

After that, subtract the area of the inner circle (its area is π*8²)

So 121π-64π = 57π

The time it will take before your investment is worth $6000 = 7 years

The amount of money invested per month = $150

Therefore the amount principally invested yearly;

= 12 × 150 = $1,800

Simple interest = $6000

Rate = 4%

Time = ?

Using the formula for Simple interest (SI)= P×T×R/100

Make T the subject of formula,

T = SI × 100/P×R

T = $6000×100/1800×4

T = 600000/7200

T= 83 months/ 12 = 7 years

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The expansion of the series is 16 + 64 + 256 + 1024

The series is given as:

[tex]\sum\limits^4_{n=1} 4^{n+1}[/tex]

When n = 1, we have:

[tex]4^{n+1} = 4^{1+1} = 16[/tex]

[tex]4^{n+1} = 4^{2+1} = 64[/tex]

[tex]4^{n+1} = 4^{3+1} = 256[/tex]

[tex]4^{n+1} = 4^{4+1} = 1024[/tex]

Hence, the expansion of the series is 16 + 64 + 256 + 1024

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Answer:

C). 16 + 64 + 256 + 1,024

Step-by-step explanation:

I took the test and got it right :)

[tex] \frac{(6x - 4)(3 - 2x)}{(4x - 6)} = \frac{2(3x - 2)(3 - 2x)}{2(2x - 3)} [/tex]

[tex] \frac{2(3x - 2)(3 - 2x)}{2(2x - 3)} = \frac{(3x - 2)(3 - 2x)}{(2x - 3)} [/tex]

[tex] \frac{(3x - 2)(3 - 2x)}{(2x - 3)} = \frac{ - (3x - 2)(2x - 3)}{(2x - 3)} [/tex]

[tex] \frac{ - (3x - 2)(2x - 3)}{(2x - 3)} = - (3x - 2)[/tex]

[tex] - (3x - 2) = 2 - 3x[/tex]

Answer:

[tex]x=-1,\frac{5}{7}[/tex]

Step-by-step explanation:

1) Split the second term in [tex]7{x}^{2}+2x-5[/tex] into two terms.

1 - Multiply the coefficient of the first term by the constant term.

[tex]7\times -5=-35[/tex]

2 - Ask: Which two numbers add up to 2 and multiply to -35?

7 and -5.

3 - Split 2x as the sum of 7x and -5x.

[tex]7x^2+7x-5x-5[/tex]

2)  Factor out common terms in the first two terms, then in the last two terms.

[tex]7x(x+1)-5(x+1)=0[/tex]

3) Factor out the common term x+1.

[tex](x+1)(7x-5)=0[/tex]

4) Solve for x.

1 - Ask: When will (x+1)(7x-5) equal zero?

When x + 1 0 or 7x-5=0

2 - Solve each of the 2 equations above.

[tex]x=-1,\frac{5}{7}[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{What are the quadratic formulas?}[/tex]

[tex]\bullet\rm{\ \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}[/tex]

[tex]\bullet\rm{\ ax^2 + bx + c = 0}[/tex]

[tex]\huge\textbf{What are we solving for?}[/tex]

[tex]\rm{7x^2 + 2x - 5 = 0}[/tex]

[tex]\huge\textbf{What do we have to do?}[/tex]

[tex]\rm{7x^2 + 2x - 5 = 0}[/tex]

[tex]\huge\textbf{Factor the LEFT side of the given}\\\\\huge\textbf{equation:}[/tex]

[tex]\rm{(7x - 5)(x + 1) = 0}[/tex]

[tex]\rm{(7x - 5) \times (x + 1) = 0}[/tex]

[tex]\huge\textbf{Set 0 to the factors:}[/tex]

[tex]\rm{7x - 5 = 0\ or\ x + 1 = 0}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\rm{x = \dfrac{5}{7}\ or\ x = -1}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{\mathsf x = \dfrac{5}{7}\ or\ \mathsf{x} = -1}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

27.183, 27.2

Step-by-step explanation:

First, do the formula for the triangle:

[tex]\frac{1}{2}[/tex] x 4.1 x 2.6 = 5.33

Next, multiply that by the base side:

5.33 x 5.1 = 27.183

Answer:

1/2 x 4.1 x 2.6 = 5.33

5.33 x 5.1 = 27.183

Rounding off to nearest tenth = 27.2 m^3

Answer:

The first choice

Step-by-step explanation:

You are setting up as you read it.  The left side has 5 x and 6 units, so you would set up 5 positive x times and 6 positive unit tiles.  On the the right you are setting up 4 positive x tiles and 3 negative unit tiles.  It is not asking you to solve with the algebra tiles, just to set it up.

The point that is 5 units from W is (A) (-5, 2)

The point is given as:

W= (-5, -3)

A point 5 unit from W can be any of the following

W' = (-5 ± 5, -3)

W' = (-5, -3 ± 5)

When the above expressions are evaluated, we have:

W' = (0, -3), (-10, -3), (-5, 2) and (-5, -8)

Hence, the point that is 5 units from W is (A) (-5, 2)

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