A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 2 milliliters of compound B. If a chemist wants to make 280 milliliters of the drug, how many milliliters of compound B are needed?

Answer:

x = 4.59

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 74 = 16/ x

x tan 74 = 16

x = 16/ tan 74

x=4.58792

[tex]\huge\text{Hey there!}[/tex]

[tex]\boxed{\boxed{\huge\text{Formula: \boxed{\text{tan } \theta = \mathsf{\dfrac{Opposite}{Adjacent}}}}}}[/tex]

[tex]\boxed{\huge\text{\boxed{\mathsf{\bold{tan\ 74} = \dfrac{16}{x}}}}}[/tex]

[tex]\boxed{\boxed{\huge\textsf{x tan 74 equals \bf 16}}}[/tex]

[tex]\boxed{\huge\text{x = }\boxed{\mathsf{\dfrac{16}{tan \ 74}}}}[/tex]

[tex]\boxed{\boxed{\huge\text{x = \bf x=4.58792}}}\boxed{\boxed{\huge\text{\bf (ORIGINALLY)}}}[/tex]

[tex]\boxed{\boxed{\huge\text{x = \boxed{\bf 4.58792\ or \ 4.58 \ is \approx \underline{\underline{4.59}}}}}}\huge\checkmark[/tex]

[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \boxed{\textsf{Option C. \bf 4.59}}}}}\huge\checkmark[/tex]

[tex]\huge\text{\huge\text{Good luck on your assignment \& enjoy your day!}}[/tex]

~[tex]\boxed{\huge\text{\boxed{\frak{Amphitrite1040:)}}}}[/tex]

Part 1

[tex]\left(\frac{g}{h}\right)(x) = \frac{g(x)}{h(x)}\\\\\left(\frac{g}{h}\right)(x) = \frac{3x-5}{-2x^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{3(3)-5}{-2(3)^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{4}{-11}\\\\\left(\frac{g}{h}\right)(3) = -\frac{4}{11}\\\\[/tex]

Answer:  -4/11

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

Part 2

Set the denominator function equal to zero and solve for x to find which values to kick out of the domain.

[tex]h(x) = 0\\\\-2x^2+7 = 0\\\\7 = 2x^2\\\\2x^2 = 7\\\\x^2 = 7/2\\\\x^2 = 3.5\\\\x = \sqrt{3.5} \ \text{ or } x = -\sqrt{3.5}\\\\[/tex]

This shows that if x is equal to either of those values, then the denominator h(x) will be zero. These are the values to kick out of the domain to prevent a division by zero error. Any other value of x is valid in the domain.

Answer: [tex]x = \sqrt{3.5} \text{ and } x = -\sqrt{3.5}\\\\[/tex]

The length of a rectangle if the length is I = 2w + 1.

A Rectangle is a 4 sided-polygon, having all the inner angles identical to 90 ranges. the 2 aspects at each corner or vertex, meet at right angles. the alternative sides of the rectangle are identical in length which makes it specific from a square.

The area of the rectangle is = length * breath

The perimeter of the rectangle = 2(L*B)

Learn more about rectangles here:-https://brainly.com/question/25292087

#SPJ2

Answer:

21

Step-by-step explanation:

it is not a prime number, according to prime number only the number and 1 can it be divided but here 21 can be divided by 1,3,7 and 21 itself. Therefore others are prime number except 21

1 - 580squaredcm

2 - 540

Answer:

40km per hour

Step-by-step explanation:

30 minutes × 2 = 60 minutes/1 hour

80 kilometers ÷ 2 = 40 kilometers

40:60

Answer:

x=0

Step-by-step explanation:

- 7(x + 4) - 4= - 32

Add 4 to each side

- 7(x + 4) - 4+4= - 32+4

- 7(x + 4) = - 28

Divide by -7

- 7(x + 4) /-7= - 28/-7

x+4 = 4

Subtract 4 from each side

x+4-4 = 4-4

x=0

Answer:

Step-by-step explanation:

a) 4/9*x^4

b) 2/y

Answer:

B

Step-by-step explanation:

z^2 - 6z - 27 = 0

(z - 9)(z+3) = 0

z - 9 = 0 z + 3 = 0

z = -3, 9

Answer:

im good

Step-by-step explanation:

The easiest and most time-effective way to approach this problem is to use the quadratic formula:

[tex]x=\frac{-b\pm\sqrt{ b^2-4ac}}{2a}[/tex],

where a = 2, b = -1, and c = 4. (We get this from the general quadratic: ax² + bx + c.)

When we plug in our numbers, we get [tex]x=\frac{1\pm\sqrt{1-32}}{4}[/tex] which also equals [tex]\frac{1\pm i\sqrt{31}}{4}[/tex], or the first choice!

:)

Answer:

9 (a)

x=50

y=75

(b)

(i)

y=105

(ii)

y=145

Step-by-step explanation:

The explanation is in the picture!

Answer:

0.5 is the answer of this question

bro!

Answer:

Step 1: 12-2a=3a-18

Step 2: 12-5a=-18

Step 3: -5a=-30

Step 4: a=6

I hope this helps!

pls ❤ and give brainliest pls

Answer:

[tex] \sin(120) \\ = \sin(90 + 30) \\ = \cos(30) \\ = \frac{ \sqrt{3} }{2} \\ \\ \tan( \frac{3\pi}{4} ) \\ = \tan(135) \\ = \tan(90 + 45) \\ = - \cot(45) \\ = - 1[/tex]

[tex]\\ \rm\longmapsto sin120[/tex]

[tex]\\ \rm\longmapsto sin(90+30)[/tex]

[tex]\\ \rm\longmapsto cos30[/tex]

[tex]\\ \rm\longmapsto \dfrac{\sqrt{3}}{2}[/tex]

Now

[tex]\\ \rm\longmapsto tan\left(\dfrac{2\pi}{4}\right)[/tex]

[tex]\\ \rm\longmapsto tan135[/tex]

[tex]\\ \rm\longmapsto -1[/tex]

Answer:

she went 90 miles in 3 hours

Step-by-step explanation:

in 20 minutes, she went 10 miles.

so in 1 hour, we multiply both 10 and 20 by 3

in 1 hour, Amelia drives 30 miles

we multiply this by 3,

and we get 90 miles in 3 hours :)

Answer:

When you divide, the answer is the quotient.

Step-by-step explanation:

For example:

6/3 = 2

The quotient is 2

Answer:

Step-by-step explanation:

The diagram is given to you below. I could not change <C so that it was theta. So C = theta.

So C is the reference angle. Call it theta when you think of it. The diagram shows you how cos(C) must be set up.

The adjacent side is 7

The hypotenuse is 18

theta = C = cos-1(7/18) = 67.11

To the nearest degree 67.11 = 67

Answer:

m=5/3

Step-by-step explanation:

Answer:

5/3 or 1 2/3

Step-by-step explanation:

First you subtract 4/3 from the left side. 23/6-4/3= 2 1/2

Then you multiply 2 on both sides, this simplifies the left side to be 3m and the right side 5.

Lastly, you divide by 3 to isolate the variable m.

And you get 5/3, which also equals 1 2/3

Have a good day and I'll hope you get to good score for this homework

Area of wall = l×b

Length = 5m

Breadth = 20m

Area = 5×20

=100m²

Area of flex = side×side

= 2×2

= 4m²

Now no of flex that can be fitted = 100/4

= 25 flex

Must click thanks and mark brainliest

[tex]\\ \sf\longmapsto t+\dfrac{1}{2}b=Y[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{2}b=Y-t[/tex]

[tex]\\ \sf\longmapsto \dfrac{b}{2}=Y-t[/tex]

[tex]\\ \sf\longmapsto b=2(Y-t)[/tex]

[tex]\\ \sf\longmapsto b=2Y-2t[/tex]

Answer:

B. $28

Step-by-step explanation:

Find the sales tax by finding 4% of 711:

711(0.04)

= 28.44

This is closest to 28.

So, the correct answer is B. $28

Answer:

-3

Step-by-step explanation:

-8 - x =-5

Answer:

Hexagons, Cross sections parallel to the base will be hexagons. It is also possible to take cross sections using planes that are neither parallel not perpendicular to the base

Answer:

The cross-section parallel to the base is a hexagon congruent to the hexagonal bases. The cross-section perpendicular to the base is a rectangle. The cross-section parallel to the base is a pentagon similar to the pentagonal base. The solid is a cylinder.

Answer:

Distance between the points is 8.94 units

Step-by-step explanation:

General formula:

[tex]{ \boxed{ \bf{distance = \sqrt{ {(x_{1} - x _{2} )}^{2} + {(y _{1} - y _{2} ) }^{2} } }}}[/tex]

substitute:

[tex]{ \sf{ = \sqrt{ {(5 - ( - 3))}^{2} + {(8 - 4)}^{2} } }} \\ = { \sf{ \sqrt{64 + 16} }} \\ = { \sf{ \sqrt{80} }} \\ = 8.94 \: units[/tex]

[tex]{ \underline{ \sf{ \blue{christ \: † \: alone}}}}[/tex]

Answer:

19

Step-by-step explanation:

If the number has atleast 1 digit that is 7, they say "Buzz."

7

17

27

37

47

57

67

70

71

72

73

74

75

76

77

78

79

87

97

I counted 19.

I hope this helps!

pls ❤ and give brainliest pls

Answer:

PR is the diameter of the circle

Answer:

Step-by-step explanation:

Diameter: connecting 2 points on a circle passing through the center.

OAmalOHopeO

Answer:

b

Step-by-step explanation:

16x10=160

Answer:

3 (3a-6b+7c)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The highest common factor is 3.

9/3 = 3

18/3 =6

21/3 = 7

The literals have no common factors that we know of.

Answer: 3(3a - 6b + 7c)