A patient requires an IV of D5W, a 5% solution of dextrose (sugar) in water. To the nearest milliliter, how much D20W, a 20% solution of dextrose in water, must be added to 100 milliliters of distilled water to produce a D5W solution? Please show all work.

Answer:

The volume of the top toy is 67.1175 cubic feet

Step-by-step explanation:

The toy top is a composite figure of a cylinder and an hemisphere, the volume of the figure is therefore, the sum of the volume of the cylinder and the hemisphere

The dimensions of the cylinder are;

The height of the cylinder = 6 feet

The diameter of the cylinder, [tex]D_{cylinder}[/tex] = 1.5 feet

Therefore, the radius of the cylinder, [tex]r_{cylinder}[/tex]= 1/2 × [tex]D_{cylinder}[/tex] = 1/2 × 1.5 ft. = 0.75 ft.

The volume of the cylinder = Area of the base × Height =  π × [tex]r_{cylinder}^2[/tex] × (The height of the cylinder)

Where;

π = 3.14

∴ The volume of the cylinder = 3.14 × (0.75 ft.)² × 6 ft.= 10.5975 ft.³

The dimensions of the hemisphere are;

The diameter of the hemisphere, [tex]D_{hemispher}[/tex] = 6 feet

Therefore, the radius of the hemisphere, [tex]r_{hemisphere}[/tex]= 1/2 × [tex]D_{hemispher}[/tex]  = 1/2 × 6 ft. = 3 ft.

The volume of the hemisphere = 2/3×π×[tex]r_{hemisphere}^3[/tex]

∴ The volume of the hemisphere = 2/3 × 3.14 × (3 ft.)³ = 56.52 ft.³the

The volume of the top toy = The volume of the cylinder + The volume of the hemisphere

∴ The volume of the top toy = 10.5975 ft.³ + 56.52 ft.³ = 67.1175 ft.³.

Answer:

d

Step-by-step explanation:

Given

f(x) = 5x , then substitute x = - 1, that is

f(- 1) = 5 × - 1 = - 5 → d

Answer:

D

[tex]f(x) = 5x \: \: \: when \: x = - 1 \\ f( - 1) = 5( - 1) \\ f( - 1) = - 5[/tex]

Answer: 78.74 is closer to 80 than 70. The answer is 80

Step-by-step explanation:

Answer:

I assume we are converting to meters so

a) 6.7 m

b) 12.07 m

c) 0.86 m

Step-by-step explanation:

To convert cm to m you divide the cm value by 100

Answer:

A and B

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Number of pieces of pepperoni available with Pamela = 112

Number of pieces of pepperoni used in one pizza = 29

Now, number of pepperoni left after using 29 in one pizza = 112 - 29 = 83

Now, Pamela makes second pizza, so again 29 pieces of pepperoni area used.

Now, number of pepperoni left after using 29 in one pizza = 83 - 29 = 54

Now, Pamela makes third pizza, so again 29 pieces of pepperoni area used.

Now, number of pepperoni left after using 29 in one pizza = 54 - 29 = 25

To make the third pizza, another 29 pepperoni are required but only 25 are available.

Therefore, there is not enough pepperoni for making 4 more pizza.

Answer:

b = 600 ft.

Step-by-step explanation:

Explanation and steps to the expressions are marked in order in the images below.

1. Answer is 3z/2 + 4

2. Answer is 5.8m

3. Answer is n + 5

4. Answer is 15q

5. Answer is 10x + 1/2 + y

6. Answer is 8z + 4.2

The maximum is five images, so I cannot add the last explanation and steps for the last expression.

Answer:

B

Step-by-step explanation:

Given the 2 equations

y = 2x + 6 → (1)

y = x + 2 → (2)

Substitute y = 2x + 6 into (2)

2x + 6 = x + 2 ( subtract x from both sides )

x + 6 = 2 ( subtract 6 from both sides )

x = - 4

Substitute x = - 4 into either of the 2 equations and evaluate for y

Substituting into (2)

y = - 4 + 2 = - 2

solution is (- 4, - 2 ) → B

Answer:

There are 72 pieces of candy.

Step-by-step explanation:

Since there are 16 Reeses in all, we need to find out how many 2's can fit in 16. We can do that by either multiplying or dividing.

16 ÷ 2 = 8 or 8 × 2 = 16

So we have 8 groups of 2 Reeses, now we need to multiply the groups of Reeses by how many Snickers.

So:

8 × 7 = 56

Now we need to add the Snickers and the Reeses.

56 + 16 = 72

Answer:

72 candies

Step-by-step explanation:

To find the number of snickers, divide the 16 reese's pieces by two to get 8. For every two reese's pieces, there are seven snickers, so multiply that by seven to get 56. There are 56 snickers. Add the 56 snickers to the given 16 reese's pieces for 72 total pieces of candy. Hope this helped ^^

Answer:

42, -43

Step-by-step explanation:

Answer:

27 units

Step-by-step explanation: 21 +6 = 27 they are 27 units apart

Answer:

8 hours

Step-by-step explanation:

84-12=72

72/9=8

Answer:

1. 4e^2

2. 2c^2

3. 3a^4

Step-by-step explanation:

1. 12e^5/3e^3.

Simplify:

12/3=4

e^5/e^3=3^2.

4e^2.

2. 8c^3d^2/4cd^2

d^2 cancels out

c^3/c^1=c^2

8/4=2

2c^2.

3. 4a*6a^5/8a^2.

First combine 4a*6a^5

4a^1*6a^5

24a^6.

24a^6/8a^2

3a^4.

Hope this helps you :D

Have a great day :D

Answer:

The equation of the line passes through (3, -2) and parallel to the given line:

The equation of the line passes through (3, -2) and perpendicular to the given line:

Step-by-step explanation:

Given the points on the graph line

(2, -1)

(1, -4)

Finding the slope between (2, -1) and (1, -4)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:-4\right)[/tex]

[tex]m=\frac{-4-\left(-1\right)}{1-2}[/tex]

[tex]m=3[/tex]

Equation of the line passes through (3, -2) and parallel to the given line.

We know that parallel lines have the same slope.

so the equation of the line parallel to the given line = 3

Thus, using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 3 and the point (3, -2)

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

[tex]y+2 = 3x-9[/tex]

[tex]y = 3x-9-2[/tex]

[tex]y = 3x-11[/tex]

Therefore, the equation of the line passes through (3, -2) and parallel to the given line:

[tex]y = 3x-11[/tex]

The equation of the line passes through (3, -2) and perpendicular to the given line

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = 3

perpendicular slope = – 1/m = -1/3 = -1/3

Therefore, substituting the values of perpendicular slope = -1/3 and the point (3, -2) in the point-slope form of the line equation

[tex]y-\left(-2\right)=-\frac{1}{3}\left(x-3\right)[/tex]

[tex]y+2=-\frac{1}{3}\left(x-3\right)[/tex]

subtract 2 from both sides

[tex]y+2-2=-\frac{1}{3}\left(x-3\right)-2[/tex]

[tex]y=-\frac{1}{3}x-1[/tex]

Therefore, the equation of the line passes through (3, -2) and perpendicular to the given line:

[tex]y=-\frac{1}{3}x-1[/tex]

Conclusion:

The equation of the line passes through (3, -2) and parallel to the given line:

The equation of the line passes through (3, -2) and perpendicular to the given line:

Answer:

a is the awnsers don't ask why

Answer:

yes

Step-by-step explanation:

When a transversal cuts parallel lines, all of the acute angles formed are congruent, and all of the obtuse angles formed are congruent.

Answer:

What is the question

Step-by-step explanation:

Answer:

Step-by-step explanation

PEMDAS

I would insert some parenthesis first

(-8/2)+(12*9)-(4*6)=

(-4)+(108)-(24)=-4+108-24=80

Answer:

E) -4,7 and -2,8

Step-by-step explanation:

parallel lines have same slope

x - 2y = 16

y = 1/2 x -8     slope: 1/2

E. slope = Δy / Δx = (8-7) / (-2 - -4) = 1/2

Using the slope, it is found that the line passing through points (-4,7) and (-2,8), option E, is parallel to the given line.

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

The equation of a line, in slope-intercept formula, is given by:

[tex]y = mx + b[/tex]

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

The line given is:

[tex]x - 2y = 16[/tex]

In slope-intercept formula:

[tex]2y = x - 16[/tex]

[tex]y = \frac{x}{2} - 8[/tex]

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

In this question, we want a line with an slope of 1/2.

At option E, the points are (-4,7) and (-2,8), thus, the slope is:

[tex]m = \frac{8 - 7}{-2 - (-4)} = \frac{1}{-2 + 4} = \frac{1}{2}[/tex]

Thus, the line passing through points (-4,7) and (-2,8), option E, is parallel to the given line.

A similar problem is given at https://brainly.com/question/22532445

Answer:

the coldest point would be 4 degrees.

Step-by-step explanation:

On a nuber line you would plot the point 13 and go back on the number line 9 units and you would get 4 degrees.

The temperature at its coldest point is 4° F.

Given that, one winter day, the temperature outside was 13°F. Overnight, the temperature dropped 9°F.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the temperature at its coldest point be x.

Now, x = 13 - 9

= 4° F

Therefore, the temperature at its coldest point is 4° F.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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Step-by-step explanation:

a4+2

Answer:

The fraction with the smaller denominator is the larger fraction.

Step-by-step explanation:

Let's take [tex]\frac{5}{6}[/tex] and [tex]\frac{5}{10}[/tex]. The larger the denominator, the more the number of pieces. So if you have a  pizza box divided into 6 slices, and they are all the same size, compared to that same box of pizza divided into 10 slices. Each of those 10 slices will be smaller than the 6 slices. Now if you eat 5 of the 6 slices, compared to if you eat 5 of the 10 slices, which one will make you more full and you know that you have eaten a lot? Of course, it is the 5 out of 6 slices because each of those slices is bigger. So the smaller the denominator of the fraction, the larger it is (if the numerator stays the same).

Answer:

7/12

Step-by-step explanation:

14/24 people have an a divide by 2 to simplify

Answer:

12x+36

Step-by-step explanation:

If we subtract 36 from all 4 y's we get 72, 144, 216, and 288. We divide each one by 6, 12, 18, and 24. After we divide them up, we get 12 for each one. Now we need to set the equation up, it has to be 12x because the price of just one T-shirt is $12, the x is how many T-shirts are bought. The 36 is the b-intercept of the equation, and since we write this in y=mx+b, the equation is y=12x+36.    

A linear model will be 12x+36.

A linear model specifies a linear relationship between a dependent variable and n independent variables.

Given that, A chess team is ordering customized T-shirts for a competition. The table shows the cost of ordering

Number of T-shirts, 6 12 18 24

If we subtract 36 from all 4 y's we get 72, 144, 216, and 288. We divide each one by 6, 12, 18, and 24. After we divide them up, we get 12 for each one. Now we need to set the equation up, it has to be 12x because the price of just one T-shirt is $12, the x is how many T-shirts are bought. The 36 is the b-intercept of the equation, and since we write this as y=mx+b, the equation is y=12x+36.  

Hence, A linear model will be 12x+36.

For more references on linear model, click;

https://brainly.com/question/29409495

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Answer:

just type it into ur web browser and you can get the answer

Step-by-step explanation:

thats what i do <3

Answer:

(x+15)+(3x-17)=90

4x-2=90

x=92/4=23

0.99

one pound costs 1.98, so you divide that by 2 to figure out what half a pound would cost