Find the volume

Please show the steps

Answer:

2200cm

Step-by-step explanation:

6 bottles are required for a 14 day supply.

One bottle contains 15 tablets and the dosage is two tablets thrice daily for 14 days, we need to find the quantity of tablets required. Let's calculate it. Quantity needed We know,

Total tablets required=Tablets required

per day x Days

To find the total tablets required, we first need to find the tablets required per day. Tablets required per day Given that,2 tablets are taken thrice daily,

Therefore the tablets required

per day= 2 x 3 = 6 tablets Per day, 6 tablets are required.

Total tablets required Now we can find the total tablets required by multiplying the tablets required per day by the number of days. Hence,

Total tablets required = Tablets required per day x Days= 6 tablets/day x 14 days= 84 tablets14 day supply has to be made with the given 15 tablets per bottle.

Hence, Quantity needed = Total tablets required/ Tablets per bottle= 84/15 = 5.6 or 6 bottles

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The speed of the plane is equal to 120 mph.

In Mathematics and Geometry, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using miles per hour (mph).

Mathematically, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Time = distance/speed

Let the variable s represent the speed of the plane in miles per hour. Therefore, an equation that models the situation can be written as follows;

240/s = 80/s - 80

80s = 240s - 19200

19200 = 160s

s = 19200/160

s = 120 mph.

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The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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(a) The probability that both marbles are white is \((30/85) * (30/85) = (\frac{1}{17})^2.\)

(b) The probability that the first is red and the second is white is (10/85) * (30/85) = \((\frac{2}{17})^2\)=0.013

(c) The probability that neither is orange is (1 - 15/85) * (1 - 15/85) = (70/85) * (70/85)=0.67

(d) The probability that they are either red or white or both is (10/85) + (30/85) + (10/85 * 30/85) = (12/17) + (36/289)=0.83

(e) The probability that the second is not blue is 1 - (20/85) = 65/85=0.76

(f) The probability that the first is orange is 15/85=0.17

(g) The probability that at least one is blue is 1 - (65/85 * 64/84) = 51/85=0.6

(h) The probability that at most one is red is (10/85) + (74/85 * 73/84) = (10/85) + (54/289)=0.30

(i) The probability that the first is white but the second is not is (30/85) * (55/84)=0.23

(j) The probability that only one is red is (10/85 * 74/84) + (75/85 * 10/84) = (7/17) + (5/17)=0.70

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Both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.

In triangle JKL, if angle J is less than 90 degrees, then angle K and angle L are both acute angles.

An acute angle is defined as an angle that measures less than 90 degrees. Since angle J is given to be less than 90 degrees, it is an acute angle.

In a triangle, the sum of the interior angles is always 180 degrees. Therefore, if angle J is less than 90 degrees, the sum of angles K and L must be greater than 90 degrees in order to satisfy the condition that the angles of a triangle add up to 180 degrees.

Hence, both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.

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The angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

To find the measure of the angle between the sides measuring 4 and 5 in an obtuse triangle with side lengths 4, 5, and 7, we can use the Law of Cosines. The Law of Cosines states that in a triangle with side lengths a, b, and c, and an angle opposite to side c, the following equation holds:

\(c^2 = a^2 + b^2 - 2ab*cos(C)\)

In this case, we have side lengths a = 4, b = 5, and c = 7. We want to find the angle C, which is opposite to side c. Substituting these values into the Law of Cosines, we get:

\(7^2 = 4^2 + 5^2\)- 2(4)(5)*cos(C)

49 = 16 + 25 - 40*cos(C)

49 = 41 - 40*cos(C)

40*cos(C) = 41 - 49

40*cos(C) = -8

cos(C) = -8/40

cos(C) = -0.2

To find the measure of angle C, we can take the inverse cosine (arccos) of -0.2:

C = arccos(-0.2)

Using a calculator, we find that C ≈ 101.54 degrees.

Therefore, the measure of the angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

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Answer:8

Step-by-step explanation: 4x6=28

28 divided by 4 = 8

Answer:

17.5ml- of 10 percent solution, 17.5ml- of 20 percent solution

Step-by-step explanation:

35:100*15=5.25- ml of alkali in the base solution

Suppose we need x ml of 10 percents solution and 35-x - of 20 percents.

Then The quantity of alkali in the first one (10 percents) is x/100*10=0.1x

when in the second one we have (35-x)/100*20= 7-0.2x of alkali

0.1x+7-0.2x=5.25

7-0.1x= 5.25

0.1x=1.75

x=17.5- 0f 10 percents

35-17.5=17.5 - of 20 percents

Answer:

Step-by-step explanation:

Answer:

\(m = 1.5\%\)

Step-by-step explanation:

Given

The attached table

Required

Determine his percentage commission

To do this, we need to calculate the slope (m) of the table as follows:

\(m = \frac{P_2 - P_1}{x_2 - x_1}\)

Where

\((x_1,P_1) = (7000,165)\)

\((x_2,P_2) = (7500,172.5)\)

\(m = \frac{P_2 - P_1}{x_2 - x_1}\) becomes

\(m = \frac{172.5 - 165}{7500- 7000}\)

\(m = \frac{7.5}{500}\)

\(m = 0.015\)

Convert to percentage

\(m = 0.015 * 100\%\)

\(m = 1.5\%\)

Hence, his percentage commission is 1.5%

The line's slope is \(\frac{1}{2}\) and the distance increases by 1 mile every 2 hours.

What is a good example of a line's slope?

The proportion of the increase in the y-value to the increase in the x-value may also be used to determine slope. For instance: We can get the slope of a line given two locations, P = (0, -1) & Q = (4,1) on the line.

A. Since the line's slope is 2, it follows that the y-variable, which is most likely distance, grows by 2 units for every increment in the x-variable, which is most likely time. The accurate statement is thus: speed is increased by Two miles per hour.

B. Since the line's slope is 2, it follows that the y-variable will drop by 2 units for every unit rise in the x-variable, which is most likely time. The accurate description is thus: speed drops by Two miles per hour.

C. If the line's slope is 1/2, the y-variable will rise by 1/2 unit for every increment in the x-variable, which is probably time. The precise description is that the distance grows by a mile every two hours.

D. If indeed the line's slope is 1/2, the y-variable will drop by 1/2 unit for every unit rise in the x-variable, which is probably time. The precise description is: distance shrinks by a mile every two hours.

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Answer:

14 cm squared

Step-by-step explanation:

The shaded triangle is clearly half of the rectangle, and half of 28 is 14.

The other way you can look at it is that the dimensions of the rectangle are 4 cm and 7 cm. The area of a triangle equation is \(\frac{bh}{2}\). So \(\frac{4(7)}{2}\) is 14.

Answer:I don’t know sorry deku

Step-by-step explanation:

Answer:

C) 0.36

Step-by-step explanation:

4÷11= 0.36363636363636

so it's 0.36 with a line over it indicating a repeating decimal

Answer: y=3x-2

Step-by-step explanation:

3y-9x=-6

First you will need to add 9x to the other side so your equation will look like 3y=9x-6. Then you need to divide all the numbers by 3. So 3y divided by 3 and 9 divided by 3 and -6 divided by 3. Your final answer should be y=3x-2.

Answer:

This equation in slope intercept form would be y = 3x - 2

Step-by-step explanation:

The following is how to solve this equation:
3y - 9x = -6
+9x +9x
----------------------
3y = 9x - 6
divide each of the numbers by 3

So the answer is y = 3x - 2

Answer: 283.3333333% (283.3%)

Step-by-step explanation:

First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.

Now, we divide 17/6

17/6 = 2.833333333

Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)

Hope this helps!

Answer:

center (0, 3) and radius 2√2

Step-by-step explanation:

Equation of a circle

\((x-a)^2+(y-b)^2=r^2\)

where:

Given equation:

\(x^2+y^2-6y+1=0\)

Subtract 1 from both sides:

\(\implies x^2+y^2-6y=-1\)

To create a trinomial with variable y, add the square of half the coefficient of the y term to both sides:

\(\implies x^2+y^2-6y+\left(\dfrac{-6}{2}\right)^2=-1+\left(\dfrac{-6}{2}\right)^2\)

\(\implies x^2+y^2-6y+9=8\)

Factor the trinomial with variable y:

\(\implies x^2+(y^2-6y+9)=8\)

\(\implies x^2+(y-3)^2=8\)

Factor \(x^2\) to match the general form for the equation of a circle:

\(\implies (x-0)^2+(y-3)^2=8\)

Compare with the general form of the equation for a circle:

\(\implies a=0\)

\(\implies b=3\)

\(\implies r^2=8 \implies r=2\sqrt{2}{\)

Therefore, the center is (0, 3) and the radius is 2√2

Answer:

=19/3x+2

Step-by-step explanation:

Answer:

Scientific notation: 9.79 × 10^1

Standard form: 97.9

To evaluate permutations and combinations, we use the following formulas:

where n is the total number of objects and r is the number of objects selected from the set.

Following the formulas above, we can solve 10C4 and 11P5.

The answers are 210 and 55,440.

Answer:

4778.4

Step-by-step explanation:

The volume of a cone is given by:

(π•r²•h)/3

(π•13²•27)/3

(π•169•27)/3

(4,563•π)/3

14,334.66/3=4778.4

Answer: john answer it correctly

Step-by-step explanation:

6.6.6_=216

Answer:

magnesium >potassium

Step-by-step explanation:

Magnesium deficiency is frequently associated with hypokalemia. Concomitant magnesium deficiency aggravates hypokalemia and renders it refractory to treatment by potassium. Herein is reviewed literature suggesting that magnesium deficiency exacerbates potassium wasting by increasing distal potassium secretion.

The volume of the given figure is 1176 cubic cm.

The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).

The volume of the figure is calculated as,

Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )

Volume = 1176 Cubic cm

Hence, the volume of the figure will be equal to 1176 Cubic cm.

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Answer:

Amanda will catch up Ben after 0.6 hours.

Step-by-step explanation:

Amanda begins jogging along the same path at 7 mi/h.

This means that Amanda's position, after t hours, is given by:

\(A(t) = 7t\)

Ben starts walking along a path at 2 mi/h.

Amanda leaves after one and a half hour, which means that Ben will be at position 2*1.5 = 3. So Ben's position after t hours is given by:

\(B(t) = 3 + 2t\)

How long (in hours) will it be before Amanda catches up to Ben?

This will happen when:

\(A(t) = B(t)\)

So

\(7t = 3 + 2t\)

\(5t = 3\)

\(t = \frac{3}{5}\)

\(t = 0.6\)

Amanda will catch up Ben after 0.6 hours.

It would take Amanda 0.6 hours or 6/10 hours to catch up with Ben.

This question comes from a topic in mathematics called rates and it's used to compare two values with each other and how one value affects the other value.

Let s represent the distance Amanda travels until she meet Ben.

We can set a timer on our phone when she leaves in order to track the time taken.

Let t represent the time taken.

We can come up with two equations from these scenario

Substitute equation (ii) into equation (i)

\(7t -3 =2t\)

collect like terms

\(7t-2t=3\\5t=3\\t=3/5\\t=0.6\)

From the above, we can see it took her 0.6 hours to catch up with Ben.

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Answer:

I think it should be 80-89.

Because the mode can't be between 70 and 70 that wouldn't make sense. Basically 70 and 70 will equal 0 in between so it wouldn't be the best choice.