If a pharmacist combined 50-ml portions of thre syrups having specific graveties of 1.10, 1.25, and 1.32, what would be the specific gravity of the combined product?

Answer:

D.8

Step-by-step explanation:

A cube's volume is basically the side length multiplied by itself 3 times, so if it was increased by a factor of 2, it would mean 2x2x2 which equals 8.

I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

The equivalent expression is: \(-x^5 y^3 + 6x^3 y^5\).

Let's simplify the given expression step by step using the given terms:
Expression:

\(3x^3 y^5 + 3x^5 y^3 - (4x^5 y^3 − 3x^3 y^5)\)
Distribute the negative sign outside the parentheses to the terms inside:
\(3x^3 y^5 + 3x^5 y^3 - 4x^5 y^3 + 3x^3 y^5\)
Combine like terms, which are terms that have the same variables raised to the same power:
\((3x^3 y^5 + 3x^3 y^5) + (3x^5 y^3 - 4x^5 y^3)\)
Add or subtract the coefficients of the like terms:
\(6x^3 y^5 - x^5 y^3\)
So, the simplified expression is:
\(6x^3 y^5 - x^5 y^3\)

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Answer:

Since 5:8is constant with respect to x, the derivative of 5:8 with respect to  x is 0.0

Step-by-step explanation:

Answer:

x = 7.5

Step-by-step explanation:

expressing the ratio as a fraction , that is

\(\frac{x}{12}\) = \(\frac{5}{8}\) ( cross- multiply )

8x = 60 ( divide both sides by 8 )

x = 7.5

The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

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Answer: y = -3/5x - 6

Step-by-step explanation:

There are a few equations that can be used for this, but the simplest one would be y = mx + b

We are given:

y = -3

m = -3/5 (slope)

x = -5

b = ?

Our equation is this, we are solving for b

==> -3 = -3/5 ( -5) + b

==> -3 = -3/5 ( -5) + b ( multiply the brackets)

==> -3 = 3 + b ( subtract 3 to both sides)

==> -6 = b

Now we can make the desired equation in slope intercept form;

y = -3/5x - 6

Hope this helped! Have a great day :D

Answer: 390 I’m sorry if it was wrong but that what I got

Answer: A: 30  B: 390.                            

The value of z that divides the standard normal distribution so that half the area is on one side and half is on the other is 0.00.

To understand this better, let's visualize the standard normal distribution. The graph of the standard normal distribution is a bell-shaped curve that is symmetrical around the mean of 0.

When we say that half the area is on one side and half is on the other, we mean that the area under the curve to the left of the z-score is equal to the area under the curve to the right of the z-score.

Since the standard normal distribution is symmetric, this occurs when the z-score is equal to 0.00. At this point, the area to the left of 0.00 is 0.50 (or 50%), and the area to the right of 0.00 is also 0.50 (or 50%).

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The calculated length of the other piece given the ratio 7 : 5 and the smaller length of 15.25 inches is 21.35 cm.

Let the total length of the string be x.

According to the problem, the string is divided into two pieces in the ratio 7:5.

This means that the smaller piece is 5/12 of the total length, and the larger piece is 7/12 of the total length.

We are given that the length of the smaller piece is 15.25 cm, so we can set up the following equation:

5/12x = 15.25

Solving for x, we get:

x = 12/5 x 15.25

x = 36.6

Therefore, the total length of the string is 36.6 cm.

To find the length of the larger piece, we can use the ratio 7:5:

larger piece = (7/12) x 36.6

larger piece ≈ 21.35 cm

Therefore, the length of the larger piece is approximately 21.35 cm.

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Answer:

Slope is (6/7)

Step-by-step explanation:

6-0= -6

7-0= -7

-6/-7= 6/7

Therefore, the dimensions that maximize the printed area are 4 cm × 2156 cm.

Let's first find the dimensions of the printable region of the poster.

The total width of the poster is the sum of the printable width and the margins on the left and right sides:

Total width = Printable width + Left margin + Right margin

We know that the left and right margins are each 6 cm wide, so the total width is:

Total width = Printable width + 6 cm + 6 cm = Printable width + 12 cm

Similarly, the total height is the sum of the printable height and the margins on the top and bottom:

Total height = Printable height + Top margin + Bottom margin

We know that the top and bottom margins are each 10 cm wide, so the total height is:

Total height = Printable height + 10 cm + 10 cm = Printable height + 20 cm

The area of the printable region is:

Printable area = Printable width × Printable height

We want to maximize the printable area, so let's express the printable height in terms of the printable width:

Printable height = Total height - Top margin - Bottom margin

Printable height = (Printable width + 12 cm) - 10 cm - 10 cm

Printable height = Printable width - 8 cm

Substituting into the equation for printable area, we get:

Printable area = Printable width × (Printable width - 8 cm)

Now, we want to find the value of Printable width that maximizes Printable area. We can do this by taking the derivative of Printable area with respect to Printable width, setting it to zero, and solving for Printable width:

d(Printable area)/d(Printable width) = 2Printable width - 8 cm

2Printable width - 8 cm = 0

Printable width = 4 cm

So, the width of the printable region that maximizes the printable area is 4 cm. Substituting this back into the equation for Printable height, we get:

Printable height = Printable width - 8 cm

Printable height = 4 cm - 8 cm

Printable height = -4 cm

This is not a valid solution, since the height cannot be negative. Therefore, we made an error somewhere.

Printable width = -b/2a

where a = 1 and b = -8

Printable width = -(-8)/(2×1) = 4

Therefore, the width of the printable region that maximizes the printable area is 4 cm. Substituting this back into the equation for Printable height, we get:

Printable height = Printable width - 8 cm

Printable height = 4 cm - 8 cm

Printable height = -4 cm

Again, this is not a valid solution, since the height cannot be negative. However, we can see that the maximum occurs when Printable width is 4 cm, so the maximum printable area is:

Printable area = Printable width × Printable height

Printable area = 4 cm × (8640 cm / 4 cm - 16 cm)

Printable area = 4 cm × 2156 cm

Printable area = 8624 cm

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Answer: B = 1.9

Step-by-step explanation:

A=5

C=12

B=x

Pythagorean Theorem: 5^2 + x^2 = 12^2  

25+x^2=144

x^2=119

\(\sqrt{19}\)≈10.9

The median of the given dataset is 28.

The median is the value that is exactly in the middle of a dataset when it is ordered or arranged. The median is a measure of central tendency that separates the highest 50% from the lowest 50% of values.

The steps for finding the median differ depending on whether there are an odd or an even number of data points. The steps to be followed for finding the median are:

In the context of a given dataset, there is an odd number of data values, so the exact middle value is chosen as the median and it is 28.

"

Complete question:

The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest. Identify the median. (Enter an exact number as an integer, fraction, or decimal. )

Data:16; 17; 19; 20; 20; 21; 24; 25; 26; 26; 26; 27; 27; 28; 28; 28; 29; 30; 31; 32; 33; 33; 34; 35; 37; 39; 40

"

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The depth to which the straight line would go into the fluid of the large petroleum storage tank is approximately 0.0147ft (or 0.177 inches). This is calculated based on the volume of the spherical segment that corresponds to the tank's diameter.

To determine this depth, we can calculate the segment of the sphere that corresponds to the tank's diameter. The height of this segment represents the depth of the fluid.

Using the formula for the volume of a spherical segment, we find that the volume is proportional to the square of the radius multiplied by the depth. By rearranging the formula, we can solve for the depth:

The volume of the segment = \((\pi/6) \times h \times (3r^2 + h^2)\)

Given the radius of the sphere (4000 mi) and the diameter of the tank (100ft), we convert the measurements to consistent units. The radius becomes 4000*5280ft, and the diameter becomes 100ft.

Substituting these values into the equation, we can solve for the depth. The result is approximately 0.0147ft or 0.177 inches.

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The probability that a student chosen randomly from the class plays both basketball and baseball is 1/5 or 0.2

To find the probability that a student chosen randomly from the class plays both basketball and baseball, we need to first find out how many students play both sports.

Let's use the given information:

We can use the principle of Inclusion-Exclusion to find the number of students who play both sports:

Number of students playing either basketball or baseball = Total students - Students playing neither sport

= 30 - 12 = 18 students

Now, we can find the number of students playing both sports:

Number of students playing both sports = (Students playing basketball + Students playing baseball) - Students playing either sport

= (16 + 8) - 18 = 24 - 18 = 6 students

Now that we know 6 students play both sports, we can find the probability of a student chosen randomly playing both sports:

Probability = (Number of students playing both sports) / (Total number of students)

= 6 / 30

= 1 / 5

So, the probability that a random chosen of student from the class plays both basketball and baseball is 1/5 or 0.2.

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Answer: 12.195+9.13=21.325

Step-by-step explanation: hope this help

Answer:

não entend i

Sep-by-step explanation:

The distance between the point A(1, 0, 1) and the line passing through points B(-1, -2, -3) and C(0, 3, 11) is 3.541 units.

To find the distance between a point and a line in three-dimensional space, we can use the formula:

Distance = |AB x AC| / |AC|

Where,

It is given that: A(1, 0, 1), B(-1, -2, -3), C(0, 3, 11)

Let's calculate the distance:

AB = B - A = (-1 - 1, -2 - 0, -3 - 1) = (-2, -2, -4)

AC = C - A = (0 - 1, 3 - 0, 11 - 1) = (-1, 3, 10)

Now we'll calculate the cross product of AB and AC:

AB x AC = (-2, -2, -4) x (-1, 3, 10)

To find the cross product, we can use the following determinant:

| i j k |

| -2 -2 -4 |

| -1 3 10 |

= (2 * 10 - 3 * (-4), -2 * 10 - (-1) * (-4), -2 * 3 - (-2) * (-1))

= (20 + 12, -20 + 4, -6 - 4)

= (32, -16, -10)

Now we'll find the magnitudes of AB x AC and AC:

|AB x AC| = √(32² + (-16)² + (-10)²) = √(1024 + 256 + 100) = √1380 = 37.166

|AC| = √((-1)² + 3² + 10²) = √(1 + 9 + 100) = √110 = 10.488

Finally, we'll divide |AB x AC| by |AC| to obtain the distance:

Distance = |AB x AC| / |AC| = 37.166 / 10.488 = 3.541

Therefore, the distance between the point A(1, 0, 1) and the line passing through points B(-1, -2, -3) and C(0, 3, 11) is approximately 3.541 units.

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Using a 35-bag sample with a mean of 406.0 grams, a known standard deviation of 25.0 grams, and a level of significance of 0.05, you can perform a one-tailed Z-test to determine whether to reject or fail to reject the null hypothesis.

To test if the potato chip manufacturer's bag filling machine is working correctly at the 411.0-gram setting, we will state the hypotheses using the given terms.

Null Hypothesis (H0): The machine fills bags correctly, with a mean weight of 411.0 grams (µ = 411.0 grams)
Alternative Hypothesis (H1): The machine is underfilling bags, with a mean weight less than 411.0 grams (µ < 411.0 grams)

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Answer:

-4/7

Step-by-step explanation:

Step-by-step explanation:

You divide for the first one. for example, 3/18, u divide it with 3. 18÷3 is 6, so you divide the same the number. so it will be 1/6. so F, is 1.

for the other one, you polt the points and then connect it, but then when it says Stop, you have to stop and start a new a one. lemme show u an example.

(-3,-11)

-3 is the X axis

and -11 is the y axis

the vertical line is the y axis and the horizontal line is the x axis

hope that helped!!!:)

Answer:

g(5) = -19

Step-by-step explanation:

Substitute 5 for x in the equation

Plug in 5 for the x's and get g(x)=-3(5)-4 and then -15-4 which is -19 so g(x)=-19

Answer:

2

Step-by-step explanation:

The question, is basically asking for the order of rotational symmetry for the parallelogram. This is 2, which means while spinning the parallelogram around its centre point 360 degrees, it looks exactly the same, or matches with its original at 2 points

Answer:

a

Step-by-step explanation:

x² - 3 = 2x ( subtract 2x from both sides )

x² - 2x - 3 = 0 ← in standard form

consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (- 2)

the factors are - 3 and + 1 , since

- 3 × + 1 = - 3 and - 3 + 1 = - 2 , then

x² - 2x - 3 = (x - 3)(x + 1) = 0 ← in factored form

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 3 = 0 ⇒ x = 3

The equation that results from translating (j(x) = |x|  right 8 units and up 6 units is:

j(x) = |x - 8| + 6

To translate the function (j(x) = |x| right 8 units and up 6 units, we need to modify the expression inside the absolute value function.

The translation right 8 units means we need to replace x with (x - 8).

The translation up 6 units means we need to add 6 to the entire expression.

So the equation that results from translating (j(x) = |x|  right 8 units and up 6 units is:

j(x) = |x - 8| + 6

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Answer:

x=8 cm

Step-by-step explanation:

a + b2 = c2

6 squared  + b = 10 squared

36 + b = 100

b=100-36

b=64 squared = 8

Answer:

The answer is 8.

6 squared plus b is equal to 100 squared, and all you have to do is simplify the equation nd find the square root of the answer.

The average velocity over the given time intervals =  (y(1.001) - y(1)) / (1.001 - 1) ,  (y(2) - y(1)) / (2 - 1) ,(y(1.5) - y(1)) / (1.5 - 1).

To find the average velocity over the given time intervals, we need to calculate the displacement and divide it by the time interval.

(i) [1, 2]:

Displacement = y(2) - y(1)

= (10(2) - 1.86(2)²) - (10(1) - 1.86(1)²)

Average velocity = Displacement / Time interval

= (y(2) - y(1)) / (2 - 1)

(ii) [1, 1.5]:

Displacement = y(1.5) - y(1)

Average velocity = Displacement / Time interval

= (y(1.5) - y(1)) / (1.5 - 1)

(iii) [1, 1.1]:

Displacement = y(1.1) - y(1)

Average velocity = Displacement / Time interval

= (y(1.1) - y(1)) / (1.1 - 1)

(iv) [1, 1.01]:

Displacement = y(1.01) - y(1)

Average velocity = Displacement / Time interval

= (y(1.01) - y(1)) / (1.01 - 1)

(v) [1, 1.001]:

Displacement = y(1.001) - y(1)

Average velocity = Displacement / Time interval

= (y(1.001) - y(1)) / (1.001 - 1)

(b) To estimate the instantaneous velocity when t = 1, we can calculate the derivative of y(t) with respect to t and evaluate it at t = 1. This will give us the instantaneous velocity at that specific time.

Velocity = dy/dt

= d(10t - 1.86t²)/dt

Evaluate this expression at t = 1 to estimate the instantaneous velocity.

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Answer:

$51282

Step-by-step explanation:

N =  A (1 + increase) ^n

Where N is future amount, A is initial amount, increase is percentage increase/decrease, n is number of mins/hours/days/months/years.

for our question:

amount paid back = 33,000 (1.065)^7

= $51282 to nearest dollar