how many 1/4 doses can be drawn from a 7 and 1/2 vial of medication

Answer:

Statement:-                   Reason:-

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Answer:

[tex]Equation : \ y = \frac{4}{5}x + 4[/tex]

Step-by-step explanation:

To find equation of a line we will consider two points through which the lines passes .

Let it be  ( -5 , 0 ) and ( 0 , 4 )

Step 1 : Find the slope

             [tex]slope , m = \frac{y_2 - y_1}{x_2-x_1} = \frac{0-4}{-5-0} = \frac{-4}{-5} = \frac{4}{5}[/tex]

Step 2 : Equation of the line

             [tex](y - y_1) = m(x - x_1) \\\\or \\\\(y - y_2) = m (x -x _2)[/tex]

We will use the second point ( 0. 4)

                     [tex](y - 4) = \frac{4}{5}(x - 0)\\\\y = \frac{4}{5}x + 4[/tex]

Answer:

B.35 is the value of x in the figure

Answer:

Angle RST is nowhere to be found

Step-by-step explanation:

Help us help you. Please include enough information to answer your question.

It was some mistake in previous one so i edited this one.

Answer:

[tex]n = \frac{20}{7}[/tex]

Step-by-step explanation:

[tex]4n + 5 = 25 - 3n\\4n + 3n = 25 - 5 \\7n = 20\\\\n = \frac{20}{7}[/tex]

Answer:

n = 20/7

Step-by-step explanation:

4n+5=25-3n

Add 3n to each side

4n+3n+5=25-3n+3n

7n +5 = 25

Subtract 5 from each side

7n+5-5=25-5

7n = 20

Divide by 7

7n/7 = 20/7

n = 20/7

Answer:

The answer is below

Step-by-step explanation:

The empirical rules states that for a normal distribution, 68% of the data falls within one standard deviation from the mean, 95% falls within two standard deviation from the mean and 99.7% falls within three standard deviations from the mean.

Given that:

mean (μ) = 71 inches, standard deviation (σ) = 4.3 inches

One standard deviation = μ ± σ = 71 ± 4.3 = (66.7, 75.3)

Two standard deviation = μ ± 2σ = 71 ± 2*4.3 = (62.4, 79.6)

Three standard deviation = μ ± 3σ = 71 ± 3*4.3 = (58.1, 83.9)

The graph is attached

9514 1404 393

Answer:

  152

Step-by-step explanation:

The third one is their average, so is 740/5 = 148. The largest is 4 more than that, so ...

  the largest value of the group is 152

_____

The numbers are 144, 146, 148, 150, 152.

The largest number when sum of five consecutive even integers is 740 is 152.

Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.

Example: 1,2,3,4,5,6

                1,3,5,7,9,11

                 2,4,6,8,10,12

Difference between nearer numbers always equal

Given,

There are 5 consecutive even integers.

Then difference between each nearer number is 2

Let the first number be x

Then another 4 numbers be

(x + 2), (x + 4), (x + 6), (x + 8)

Now

According to question

(x + x + 2 + x + 4 + x + 6 + x + 8) = 740

5x = 740 - 20

x = 144

And the highest number is x + 8 = 152

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Answer:

the maximum area enclosed = 1125000sq. ft.

Step-by-step explanation:

Let each side perpendicular to the river be "x".

Then the side parallel to the river is "3000-2x".

Now, area of the rectangle

A(x) = (3000-2x)x

A(x) = -2x^2+3000x

Which is a quadratic equation with a = -2 and b = 3000

Maximum area occurs where x = -b/2a

x = -3000/(-2×2) = 750 ft.

Therefore, width of rectangle x = 750 ft

Now, length = 3000-2(750) = 1500 ft.

Therefore, the maximum area enclosed = 1500×750 =  1125000 sq. ft.

Answer:

(x, y) = (-2,-5)

Step-by-step explanation:

Multiply the first equation by 3,and multiply the second equation by 1.

3(3x+y=−11)

1(4x−3y=7)

Becomes:

9x+3y=−33

4x−3y=7

Add these equations to eliminate y:

13x=−26

Then solve13x=−26for x:

13x=−26

13x

13

=

−26

13

(Divide both sides by 13)

x=−2

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

3x+y=−11

Substitute−2forxin3x+y=−11:

(3)(−2)+y=−11

y−6=−11(Simplify both sides of the equation)

y−6+6=−11+6(Add 6 to both sides)

y=−5

Answer:

x=−2 and y=−5

Explanation:

A square has all four sides the same length. So the length and width are the same.

We can see that (length)*(width) = (1/4)*(1/4) = 1/16 square miles.

If you wanted, you could solve for W in (1/4)*W = 1/16 and you should get W = 1/4.

810.93

Let the pressure be given by P and the volume be V.

Since pressure is inversely proportional to volume, we can write;

P ∝ [tex]\frac{1}{V}[/tex]

=> P = [tex]\frac{c}{V}[/tex]          -------------(i)

Where;

c = constant of proportionality.

When the volume of the gas is 2 cubic feet, pressure is 1000 pounds per square foot.

V = 2 ft³

P = 1000lb/ft²

Substitute these values into equation (i) as follows;

1000 = [tex]\frac{c}{2}[/tex]

=> c = 2 x 1000

=> c = 2000 lbft

Substituting this value of c back into equation (i) gives

P = [tex]\frac{2000}{V}[/tex]

This is the general equation for the relation between the pressure and the volume of the given gas.

To calculate the work done W by the gas, we use the formula

[tex]W = \int\limits^{V_1}_{V_0} {P} \, dV[/tex]

Where;

V₁ = final volume of the gas = 3ft³

V₀ = initial volume of the gas = 2ft³

Substitute P = [tex]\frac{2000}{V}[/tex], V₁ = 3ft³ and V₀ = 2ft³

[tex]W = \int\limits^{3}_{2} {\frac{2000}{V} } \, dV[/tex]

Integrate

W = 2000ln[V]³₂

W = 2000(In[3] - ln[2])

W = 2000(0.405465108)

W = 810.93016

W = 810.93 [to 2 decimal places]

Therefore, the work done by the gas for the given pressure and volume is 810.93

Answer:

14

Step-by-step explanation:

84/6

Answer:

7(y intercept)

Step-by-step explanation:

y = mx +c form

y = 21-7x/3

c = 21/3 = 7(y intercept)

x i have no idea

To find x-intercept ,put y= 0 in the given eqn

So, 7x+3(0) = 21

=> 7x =21

=> x= 21/7 = 3

x-intercept = 3

Similarly, to find y-intercept put x=0 in the given eqn

So ,7(0)+3y=21

=> 3y=21

=> y= 21/3 = 7

y-intercept = 7

Using the Central Limit Theorem, it is found that the mean of the sample proportions would approach 0.3, hence option C is correct.

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

In this problem, we have that the parameter is p = 0.3, hence the mean of the sample proportions would approach 0.3 and option C is correct.

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Answer:

(xou)2

Step-by-step explanation:

A yacht is traveling 35° west of south at 15 miles/hour in still water. Find the component form of vector r, which represents the yacht's motion.

Answer:

Area of circle = 465.82 cm²

Step-by-step explanation:

Given the following data;

Circumference of the hub cap = 76.49 cm

Pie, π = 3.14

To find the area of the hub cap;

First of all, we would determine the radius of the hub cap.

Mathematically, circumfeence of a circle is equal to;

C = 2πr

Where:

C is the circumference of a circle.

r is the radius of a circle.

C = 2πr

76.49 = 2 * 3.14 * r

76.49 = 6.28r

Radius, r = 76.49/6.28

Radius, r = 12.18 cm

Next, we find the area of the hub cap;

Area of circle = πr²

Area of circle = 3.14 * 12.18²

Area of circle = 3.14 * 148.35

Area of circle = 465.82 cm²

However, if the circumference of the hub cap were smaller, the area of the hub cap would also be smaller. Thus, the circumference of a hub cap is directly proportional to the area of a hub cap.

Answer:

56 cm squared

Step-by-step explanation:

First things first: Cop one triangle off the rectangle, and attach it to the other one, so the shape looks like a L

Now I can actually solve this:

The left side is 8 cm (because y = 8 cm)

The top is 10 cm

The middle is 6 cm

The inside left is 3 cm

And the very bottom is 2 cm

First, we'll solve for the newly constructed rectangle: 3 x 2. That equals 6.

Next, solve for the longer rectangle: 10 x 5. That's 50.

Now, add the two areas, and we get 56. So the area of the whole thing is 56 cm squared.

(Please keep in mind that I could be wrong, so double check it for me, thanks!)

Answer:

6

Step-by-step explanation:

KL = 26-(11+9) = 26-20 =6

Answer:

KL is 6

Step-by-step explanation:

IL is 26, IJ = 9 JK= 11

IL= IJ + JK + KL

26= 9 + 11 + KL

Rearrange

KL= 9 + 11 - 26

    = 6

Answer:

1553.6mm

Step-by-step explanation:

Given data

Diameter = 622mm

Radius= 622/2= 311mm

Circumference= 2πr

Circumference= 2*3.142*311

Circumference= 1954.32

Each revolution the wheels will turn 1954.32mm

Now let us convert radian to turns

1 radian= 0.159155 turns

5 radians=  x turns

cross multiply

x= 5*0.159155

x=0.795 turns

If 1 turn will give 1954.32mm

0.795 turn will give  x

cross multiply

x= 0.795*1954.32

x=1553.6mm

Answer:

85 cm2

Step-by-step explanation:

Separate the figure into sections and add the product

Answer:

l=15

Step-by-step explanation:

let length=l

width=w

l=3w-2

w=(l+2)/3

Perimeter P=2(l+w)=2[l+(l+2)/3]=2(4l+2)/3≤43

2(4l+2)≤129

8l+4≤129

8l≤125

l≤125/8

so l=15

________________

P=2(l+w)=2(3w-2+w)=8w-4≤43

8w≤47

w≤47/8

l≤141/8-2

l≤125/8

l=15

Answer:

180

Step-by-step explanation:

Answer:

Step-by-step explanation:180

Answer:

Step-by-step explanation:

Dollar amount of markup  = sticker price - invoice price

sticker price is what you pay to buy the car

invoice price is what the dealership has to pay the manufacturer of the car.

sticker price = 22450

invoice price = 19450

Dollar amount of the markup = 22450 - 19450

Dollar amount of the markup = 3000

Answer:

D. -2/7

Step-by-step explanation: