(x+5/2) + (x-3/3) = 3 1/6

[tex]\begin{array}{ccll} \stackrel{hours}{t}&\stackrel{height}{h}\\ \cline{1-2} 3&20\\ 5&19 \end{array}[/tex]  with those values provided from the table, let's get its equation

[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{20})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{19}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{19}-\stackrel{y1}{20}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{3}}} \implies \cfrac{19 -20}{5 -3} \implies -\cfrac{ 1 }{ 2 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{20}=\stackrel{m}{-\cfrac{ 1 }{ 2 }}(x-\stackrel{x_1}{3}) \implies y-20=-\cfrac{ 1 }{ 2 }x+\cfrac{3}{2} \\\\\\ y=-\cfrac{ 1 }{ 2 }x+\cfrac{3}{2}+20\implies y=-\cfrac{ 1 }{ 2 }x+\cfrac{43}{2}\implies \LARGE \begin{array}{llll} h=-\cfrac{ 1 }{ 2 }t+\cfrac{43}{2} \end{array}[/tex]

how talll will the candle be after 8 hours?  namely when t = 8.

[tex]h=-\cfrac{ 1 }{ 2 }(8)+\cfrac{43}{2}\implies h=-4+\cfrac{43}{2}\implies h=\cfrac{35}{2}\implies \LARGE \begin{array}{llll} h=17\frac{1}{2} \end{array}[/tex]

Answer:

2(x+2)(x+4)

Step-by-step explanation:

Answer in the picture !!!

Step-by-step explanation:

you can ask questions for clarification

Answer: For each direct variation, find the constant of variation. Then find the value of $y$ when $x=-5 .$

$y=-\frac{2}{3}$ when $x=-\frac{1}{3}$

Step-by-step explanation:

Answer:

7 1/3

Step-by-step explanation:

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

1 2/3 + 5 2/3

7 1/3

Mei will have written a total of 430 pages at the end of the 30 days.

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Answer:

Step-by-step explanation:

One square millimeter converted into square meter equals = 0.0000010 m2 , sq m

1 mm2 , sq mm = 0.0000010 m2 , sq m

Answer:

I think 50,682,000 square milliliters

Step-by-step explanation:

Answer:

the second pair

Step-by-step explanation:

the first pair can't be equivalent because to check whether two fractions are equivalent we have to use the criss-cross method so.....

1.3*4=12 and 12*3=36....so not equal

2.6*15=90 and 9*10=90.....it matches:)) so this is the answer

The amount of milliliters (ml) you should give the child is 1.5 ml

The given parameters are:

infant's Tylenol, 5 ml = 160 mg

This can be represented as

5 ml = 160 mg

Let the number of ml to give a child that requires 48 mg be x

So, we have:

5 ml = 160 mg

x = 48 mg

Cross multiply

x * 160 = 48 * 5 ml

Divide both sides by 160

x = 1.5 ml

Hence, the amount of milliliters (ml) you should give the child is 1.5 ml

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Answer:

(0,5)

Step-by-step explanation:

The angle of m1, angle of m2 and angle of m3 is 101°, 79° and 101° respectively.

It is given that the angle of m4 is 79°.

To find angles m1, m2 and m3 :

As we know that angle m4 is equal to angle m2 (because they are vertically off opposite angle).

So, angle m2 = 79º

In the same manner the angle of m1will be equal to angle m3.

Now, we can see that in the figure the angles m2 and m1 is lying on one plane, and a plane line makes a angle of 180º

So,

m2+m1 = 180º

79º+m1 = 180º

m1 = 180º-79º

Angle m1 = 101º

And, as we can see that the angles m1 and m3 are vertically of opposite angle.

So, m1= m3= 101º

Hence, angle m1=101º,

            angle m2= 79º,

 And,    angle m3=101º.

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The measurement of the actual angle NOP is 56° when it is being dilated by the scale factor of 2 to form the dilated angle NOP as 112° .

We are given the dilated angle as:

∠ NOP = 112°

The scale factor for dilation is given as 2.

Now, we need to find the value of actual angle NOP.

For this, we will divide the dilated angle NOP with the scale factor of dilation.

So, we will get the result as:

Actual ∠ NOP = 112° / 2

Actual ∠ NOP = 56°

Therefore, we get that, the measurement of the actual angle NOP is 56° when it is being dilated by the scale factor of 2 to form the dilated angle NOP as 112° .

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Answer:

The first answer is correct.  See the picture below

Step-by-step explanation:

From the graph of the function, we have that:

Hence:

Looking at the graph, we get that a function f(x) is decreasing when it is "moving northeast", that is, to the right and up on the graph, meaning that when x increases, y decreases.

Looking at the graph, we get that a function f(x) is decreasing when it is "moving southeast", that is, to the right and down on the graph, meaning that when x increases, y decreases.

Hence:

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Rating each statement below on a scale from best to worst will be:

1. You read an article in a science journal from 50 different labs around the world that have tested the temperature of water and found that it boils at 100°C in every location.

2. You used a thermometer to measure the temperature at which water boiled. You repeated the experiment 3 times. Each time the thermometer read 100°C.

3. Your cousin said that he tested the temperature of boiling water and found that it was 100°C.

4. Most people you know believe that water boils at 100°C.

It should be noted that the science journal will give the most accurate information. Therefore, it's the best.

It should be noted that the fact that most people you know believe that water boils at 100°C doesn't necessarily mean it's correct. It wasn't tested. Therefore, it's the worst.

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The correct symbol will be (equal to) 6.5 = 6.5

Use the greater than and less than symbols to compare values and expressions. > is the symbol for more than. 6.5 is commonly thought to mean 6.5 "6.5 is the same as 6.5. " "= "is the sign of equality. Two more comparison expressions are "greater than" and "equal to" (less than or equal to).

Two values are equal when the "equals" sign is used to indicate this. (=)

When two values are obviously not equal, the "not equal to" signal is used. (≠)

To show that one value is smaller than another, we use the "less than" sign. (<)

To show that one value is greater than another, we use the "greater than" symbol. (>)

The answer to the left-hand question is 6.5, whereas the answer to the right is 6.5 * 1 is equal to 6.5.

Therefore, 6.5 = 6.5

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Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2}{6}[/tex] ( divide numerator/ denominator by 2 )

= [tex]\frac{1}{3}[/tex] ← in simplest form

a fraction is in simplest form when no other value but 1 can divide into the numerator/ denominator.

The slope of the line in simplest form is: 1.

The slope (m) of a line is calculated as:

Slope (m) = rise/run = change in y / change in x.

The horizontal distance across the line is the run, while the vertical distance is the rise.

The blue line shows the rise of the line = 2 units

The red line shows the run of the line = 2 units

Slope (m) = rise/run = 2 units/2 units

Slope (m) = 1

Therefore, the slope of the line in simplest form is: 1.

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Answer:

64

Step-by-step explanation:

16 chapters per hour times 4 hours is 64 chapters

The length of the circle's radius = 744.92 cm

Given the length of arc of a circle, arc length = 269⁢π cm

Central angle of a circle is the angle made between the radius through the arc length at the center of the circle.

The corresponding central angle = 65°

To find the corresponding central angle in radians = 65° x π/180 = 13π/36 radians

We have, arc length of a circle = radius x central angle

Therefore, radius of the circle = arc length / central angle

                                                  =  269⁢π /(13π/36)

                                                  = 744.92 cm

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The Surface area to be painted = 512 ft²

The surface area of a rectangular prism = 2(w × l + h× l + h × w). Where:

w = width of the rectangular prism

h = height of the rectangular prism

l = length of the rectangular prism

The block column has a shape of rectangular prism. Therefore, the surface area that Richard needs to paint which excludes the bottom of the block = 2(w × l + h× l + h × w) - l × w.

Plug in the values

Surface area to be painted = 2(8 × 10 + 12 × 10 + 12 × 8) - 10 × 8

Surface area to be painted = 592 - 80

Surface area to be painted = 512 ft²

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The purpose of the list of grievances is to declare that the United States of America is a free and independent state.

The colonists' complaints against King George's treatment of them were listed in the list of grievances. It was essentially a list of justifications for their declaration of independence.

A list of complaints that Thomas Jefferson thought George III, the king of Great Britain, had made against the colonists is included in the Declaration of Independence. The primary justifications for the Colonists' involvement in the American Revolution were described in these grievances. Taxation without representation, or as Thomas Jefferson more elegantly puts it, "for imposing Taxes on us without our Consent," is arguably the most significant of them.

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Answer:

1 lb corn and 4 lb lima beans

Step-by-step explanation:

Let x = weight of corn.

Let y = weight of lima beans.

x + y = 5

0.6x + 1.1y = 5

x = 5 - y

0.6(5 - y) + 1.1y = 5

3 - 0.6y + 1.1y = 5

0.5y = 2

y = 4

x + y = 5

x + 4 = 5

x = 1

Answer: 1 lb corn and 4 lb lima beans

Answer:

subduction zones <3333

Answer:

28 = 2² × 7

Step-by-step explanation:

28 = 4 × 7 = 2² × 7

Kendra's samples are precise but not accurate.

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