A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for every 3 milliliters of compound B. If a chemist wants to make 656 milliliters of the drug, how many milliliters of compound A are needed?

Answer:

The force that must be applied on the small piston has a magnitude of 500 newtons.

Step-by-step explanation:

By Pascal's Principle, we know that pressure within any point of a closed hydraulic system is the same. Hence, the hydraulic machine can be described by the following model:

[tex]\frac{F_{1}}{A_{1}} = \frac{F_{2}}{A_{2}}[/tex] (1)

Where:

[tex]F_{1}, F_{2}[/tex] - Forces applied on the small and large pistons, in newtons.

[tex]A_{1}, A_{2}[/tex] - Areas of the small and large pistons, in square meters.

If we know that [tex]A_{1} = 0.5\,m^{2}[/tex], [tex]A_{2} = 1\,m^{2}[/tex] and [tex]F_{2} = 1000\,N[/tex], then the force to be applied on the small piston is:

[tex]F_{1} = \left(\frac{A_{1}}{A_{2}} \right)\cdot F_{2}[/tex]

[tex]F_{1} = \left(\frac{0.5\,m^{2}}{1\,m^{2}} \right)\cdot (1000\,N)[/tex]

[tex]F_{1} = 500\,N[/tex]

The force that must be applied on the small piston has a magnitude of 500 newtons.

Answer:

7.5

Step-by-step explanation:

Median = middle number in terms of value

To make it easier to identify the middle number lets list the number from least to greatest

1, 4, 4, 7, 8, 8, 10, 15

Now we can simply find the middle number

We notice that there are two middle numbers as there is an even amount of numbers

Those two numbers being 7 and 8

When finding the median, if there are two middle numbers, you simply add the two numbers together and divide the sum by two to get the median.

So median = 8 + 7 = 15 / 2 = 7.5

Answer:

7.5

Step-by-step explanation:

The median of a set of numbers is the middle number, so we have to order them first from least to greatest. The order would be 1, 4, 4, 7, 8, 8, 10, 15. You can see that there are an even number of numbers, so if we take the two numbers in the middle of the order (7 and 8) and add them to get 15 and divide 15 by two, we get an answer of 7.5.

I hope this helped you!

Answer:

Step-by-step explanation:

Answer:

Angles 1 and 2 are 115 degrees. Angles 3 and 4 are 65 degrees.

Step-by-step explanation:

7x - 4 + 3x + 14 = 180 (angles 1 and 3 form a straight line so they add to 180 degrees)

10x + 10 = 180

10x = 170

x = 17

m<1 = 7(17) - 4 = 115

m<3 = 3(17) + 14 = 65

Opposite angles are equivalent so m<2 = 115 and m<4 = 65.

Answer:

x = -6

Step-by-step explanation:

-5x + 1 = 31

Subtract 1 from each side

-5x + 1-1 = 31-1

-5x = 30

Divide by -5

-5x/-5 = 20/-5

x = -6

Answer:

x = - 6

Step-by-step explanation:

- 5 x + 1 = 31

subtract 1 from 31

- 5 x = 31 - 1

- 5 x = 30

Divide 30 by - 5

x = 30 / - 5

x = - 6

Answer:

Num. 2: A = 25, Num. 3 = 63, Num. 4 = 80

Step-by-step explanation:

I'll help with as many as I can, so a few of them I won't be able too answer. You should re-post those later. Good luck, hope this helps.

For number 2:

First, turn the triangle into a rectangle by cutting it in half and attaching it to the other half so it forms a rectangle.

Since you cut the triangle in half, you also have to split 5 in half, so the bottom length is now 2.5.

Now, simply multiply 2.5 by 10, and you have the area for number 2.

The area for number 2 is 25.

For number 3:

This one is much easier. Just think of the shape as a normal square that has been tipped to the side. That means that you would solve for area the same way: 9 x 7, which means that the area for number 3 is 63.

For number 4:

This one is also easy. Simply cut, and paste. Now the right side is 10, and the top side is 8. Multiply, and the area will be 80 m.

Please re-post 1 and 5, as I am not able to solve them. Sorry this answer took so long!

Answer:

6

Step-by-step explanation:

Just got it right.

Answer:

any, camp,man,and,pan

Answer:

Step-by-step explanation:

The word "company" has 7 letters.

Combination of 5-letter codes:

Answer:

$3x

Step-by-step explanation:

Trust me.

Answer:

D) [tex]a(n)=7+(n-1)*12[/tex]

Step-by-step explanation:

It is D since you can replace [tex]n[/tex] for any value on the [tex]x[/tex] side of the table and it will give you its corresponding [tex]y[/tex] value.

Answer:

3

Step-by-step explanation:

5(2x + 1) = 35

10x + 5 = 35

10x = 30

x = 3

Answer:

pretty sure its positive

Step-by-step explanation:

hope this helps, have  a great day!

Answer:

A is correct

Step-by-step explanation:

if we know that both x and y are positive, they are both going to be negative

and since we know that, -x divided by -y is the same as saying something negative divided by something negative which is ALWAYS positive because negatives cancel out leaving the answer positive something, something

Answer:

Step-by-step explanation:

U still in school

Answer:

42 square units

Step-by-step explanation:

We can divide the figure in two triangles and one rectangle

the two triangles are congruent

base  = |-5-2| = 7

height = 2

Total area of the two triangles = (7 *2)/2 * 2 = 14 square units

the rectangle have the length that is equal to the base of the triangles

height = |-2-2| = 4

Area = 7 *4 = 28 square units

Final area = 14+ 28 = 42 square units

[tex]\longrightarrow{\green{10.863}}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]10.863 \times 10.863 = 118 \\ \\⇝118.004 = 118 \\ \\ ⇝118 = 118[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

±sqrt(118)  or approximately ±10.86278

Step-by-step explanation:

What number times itself is 118

We are looking for the sqrt(118) or- sqrt(118)

This is approximately ±10.86278

Answer:

0

Step-by-step explanation:

I did it in standard form but this is the equation 18x + 3 = 0

Answer:

x = -1/6

Step-by-step explanation:

-8x+4=-26x+1

4-1 = -26x+8x

3 = -18x

3/-18 = x

x = -1/6

Answer:

por no esudiar

Answer: XLCubed (XLCubed Ltd) is a business intelligence software and consulting services company. ... XLCubed software is used by business end users to create dynamic reports, dashboards, and planning solutions which are then deployed either via Microsoft Excel or the Web.

Step-by-step explanation:

Answer:

Based on the linear relation shown above, when the y coordinate is 3, the x coordinate is 8.

Step-by-step explanation:

This is because every time you add an input of 2, you subtract an output of 4.

Basically in the x value you add 2 while in the why value you subtract 4.

(2, 13) (4, 9) (6, 5) (8, 1)

Answer:

8

Step-by-step explanation:

Answer:

4 minutes

Step-by-step explanation:

27  gallon -> 6 min

1 min -> 27 ÷ 6

             = 4.5 gallon

18 ÷ 4.5 = 4 min

Answer:

The invalid statement is 4) Segment AP is congruent to segment PQ.

We conclude that          2) Segment RB is congruent to segment CS.

Step-by-step explanation:

Hope this Helps Have an good day!!

Given, line segment AB & CD

Here, P is the midpoint of AB ⇒ AP=PB

&       Q is the midpoint of CD ⇒ CQ=QD

It is given that P is point on AB not on CD ∴ there is no relation of point P with line segment CQ.

Hence, the invalid statement is

Segment AP is congruent to segment PQ.

Now, given that R is the midpoint of AP ⇒ AR=RP

& S is the midpoint of QD ⇒ QS=SD

AB≅CD     (Given)

 ≅  

PB ≅ CQ       (∵from midpoint statements)

∵ PA=QD ⇒ PR=QS

Because    PB≅CQ  

           PB+PR≅CQ+QS

⇒               RB≅CS

Therefore, Segment RB is congruent to segment CS

Answer:

Segment AP is congruent to segment PQ

Segment RB is congruent to segment CS

Step-by-step explanation:

Answer:

$3

Step-by-step explanation:

21 rand /7

Answer:  [tex]5\sqrt{3}[/tex]  which is choice C

=====================================================

Explanation:

This is a 30-60-90 triangle. The short leg is 5, as it's opposite the smallest angle. The long leg is [tex]\sqrt{3}[/tex] times that of the short leg.

Step-by-step explanation:

Perimeter=8l

30cm=8l

l=30/8=3.75cm

Answer and Step-by-step explanation:

An octagon has 8 sides in total. The perimeter of a shape is the sum of all sides added together.

To find the length of each side, we divide the perimeter by the amount of sides.

30 ÷ 8 = 3.75

The answer is 3.75 centimeters.

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:

the formula is C=2√πA

so simplifying that would give us c=2(4π)

simplify again and we get c=8π

Answer:

314

Step-by-step explanation:

A=4πr^2

A= (4)(3.14)(5)^2

A=314

Question :-

Answer :-

[tex] \rule{180pt}{3pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bold{5 \: inches}}\end{picture}[/tex]

Solution :-

As per the provided information in the given question, we have been given that the radius of the sphere is 5 inches. We have been asked to find or calculate the surface area of the sphere.

To calculate the surface area of the sphere, we will use the formula below :-

[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Sphere)} = 4\pi r^2 \:\:}}[/tex]

Substitute the given values into the above formula and solve for surface area:

[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4\pi r^2[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(3.14)(5 \: in)^2[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(3.14)(25 \: in^2)[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(78.5 \: in^2)[/tex]

[tex]\sf:\implies \bold{Surface \: Area_{(Sphere)} = 314 \: inches^2}[/tex]

Therefore :-

[tex]\\[/tex]

Learn more about the surface area of the sphere at https://brainly.com/question/28988747

Have a great day! <33

Answer:

[tex]\text{B. }1.5, 2, 2.5,\\\text{C. }4, 4, \sqrt{32}[/tex]

Step-by-step explanation:

All right triangles must follow the Pythagorean Theorem [tex]a^2+b^2=c^2[/tex] where [tex]c[/tex] is the hypotenuse of the triangle.

Verify:

[tex]1.5^2+2^2=2.5^2\checkmark,\\4^2+4^2=\sqrt{32}^2\checkmark[/tex]

Answer:

a+b=2ab

b+c=2bc

c+a=2ca