What is the reciprocal of 3/7 ?
A) 3/7
B) 2 1/3
C) 7/3
D) 7

Answer:

A. [tex] y = \frac{1}{4}x + 2 [/tex].

Step-by-step explanation:

Equation of a line in slope-intercept form, is given as [tex] y = mx + b [/tex].

Given a slope (m) of ¼, and y-intercept (b) of 2, we can get the equation if the line by substituting m = ¼, and b = 2 into [tex] y = mx + b [/tex].

Thus, the equation of the line would be:

[tex] y = \frac{1}{4}x + 2 [/tex].

Answer:

(r o q)(-1) = 20

(q o r)(-1) = -11

Step-by-step explanation:

Given

[tex]q(x) = -2x + 1[/tex]

[tex]r(x) = 2x^2 + 2[/tex]

Solving (a): (r o q)(-1)

In function:

(r o q)(x) = r(q(x))

So, first we calculate q(-1)

[tex]q(x) = -2x + 1[/tex]

[tex]q(-1) = -2(-1) + 1[/tex]

[tex]q(-1) = 2 + 1[/tex]

[tex]q(-1) = 3[/tex]

Next, we calculate r(q(-1))

Substitute 3 for q(-1)in r(q(-1))

r(q(-1)) = r(3)

This gives:

[tex]r(x) = 2x^2 + 2[/tex]

[tex]r(3) = 2(3)^2 + 2[/tex]

[tex]r(-1) = 2*9 + 2[/tex]

[tex]r(-1) = 20[/tex]

Hence:

(r o q)(-1) = 20

Solving (b): (q o r)(-1)

So, first we calculate r(-1)

[tex]r(x) = 2x^2 + 2[/tex]

[tex]r(-1) = 2(-1)^2 + 2[/tex]

[tex]r(-1) = 2*1 + 2[/tex]

[tex]r(-1) = 6\\[/tex]

Next, we calculate r(q(-1))

Substitute 6 for r(-1)in q(r(-1))

q(r(-1)) = q(6)

[tex]q(x) = -2x + 1[/tex]

[tex]q(6) = -2(6) + 1[/tex]

[tex]q(6) =- 12 + 1[/tex]

[tex]q(6) = -11[/tex]

Hence:

(q o r)(-1) = -11

the answer its 120 hope helps you

Answer:

D

Step-by-step explanation:

24/-3 = -8

since we divided by a negative, we have to flip the symbol to <

x < -8

Answer:5y

Step-by-step explanation:

67

Hey how you have a good day !! XD

Answer:

12/15

Step-by-step explanation:

Answer:

I hope this helps you

Step-by-step explanation:

9/10 + 3/5

= LCM of 10 and 5 =10

= 9/10 + 6/10

= 9+6/10

= 15/10 = 3/2 = 1.5

Answer:

It will be 2x -1

If x=2

2*2 - 1 = 4 - 1 = 3

Step-by-step explanation:

7 - x    If x=2

7 - 2 = 5

11 - 3x   If x=2

11 - 3*2 = 11 - 6 = 5

2x -1   If x=2

2*2 - 1 = 4 - 1 = 3

4x - 3    If x=2

4*2 - 3 = 8 - 3 = 5

Answer:

idek

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

10÷1/4=25

Answer:

On a coordinate graph, make a point at (0, -1)

Move the point up 3 units and right 2 units, and make another point. Continue across the plane and draw the line connecting the dots.

Answer:

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

know that

h = 3

h × h × h

3 × 3 × 3

= 27

Answer:

D. 24 degree

Step-by-step explanation:

Sides of the triangle are

a = 330 ft

b = 180 ft

c = 420 ft

From cosine rule we have

[tex]\angle A=\cos^{-1}(\dfrac{b^2+c^2-a^2}{2bc})\\ =\cos^{-1}(\dfrac{180^2+420^2-330^2}{2\times180\times 420})\\ =48.65^{\circ}[/tex]

[tex]\angle B=\cos^{-1}(\dfrac{a^2+c^2-b^2}{2ac})\\ =\cos^{-1}(\dfrac{330^2+420^2-180^2}{2\times 330\times 420})\\ =24.17^{\circ}[/tex]

[tex]\angle C=\cos^{-1}(\dfrac{a^2+b^2-c^2}{2ab})\\ =\cos^{-1}(\dfrac{330^2+180^2-420^2}{2\times 330\times 180})\\ =107.19^{\circ}[/tex]

The smallest angle in the triangle is [tex]\angle B=24.17^{\circ}[/tex].

Answer: The answer is d.

Step-by-step explanation:

If the entry amount is $20 then you want to subtract $20 from $35 and that leaves you with $15 now if you divide $15 in $2.50's you get 6

Answer:

(20,5) and (5,12) I think

Answer:

A:(–14, 12) and (5, 12)

Step-by-step explanation:

Trust me on this, also can I have brainiest please?

Hope you do well! :D

Two numbers on each die are squares: 1 and 4. 4 numbers on each die are not squares: 2 , 3, 5, and 6. there are 16 ways for him to roll a non-square die, out of 36 outcomes for the pair of dice. The other 20 options each have a square number showing on one or both dice. So, the probability is 5/9. hope this helps please pick my answer as brainliest, have a good day!

Answer:

This is a very vague question. We can't find out the width if it doesn't tell us the area. Comment on my answer the area and I can help.

Answer:

[tex]r=1.05\ \text{ft}[/tex]

[tex]h=2.12\ \text{ft}[/tex]

[tex]20.91\ \text{ft}^3[/tex]

Step-by-step explanation:

r = Radius

h = Height

Volume of cylinder = [tex]7.35\ \text{ft}^3[/tex]

[tex]V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{7.35}{\pi r^2}[/tex]

Surface area is given by

[tex]A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi r^2+2\pi r\dfrac{7.35}{\pi r^2}\\\Rightarrow A=2\pi r^2+\dfrac{14.7}{r}[/tex]

Differentiating with respect to radius we get

[tex]\dfrac{dA}{dr}=4\pi r-\dfrac{14.7}{r^2}[/tex]

Equating with zero we get

[tex]0=4\pi r-\dfrac{14.7}{r^2}\\\Rightarrow 4\pi r=\dfrac{14.7}{r^2}\\\Rightarrow r^3=\dfrac{14.7}{4\pi}\\\Rightarrow r=(\dfrac{14.7}{4\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.05[/tex]

[tex]\dfrac{d^2A}{dr^2}=4\pi-2\times \dfrac{14.7}{r^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=4\pi+2\times \dfrac{14.7}{1.05^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=37.96>0[/tex]

So, the value of the function is minimum at [tex]r=1.05[/tex]

[tex]h=\dfrac{7.35}{\pi r^2}=\dfrac{7.35}{\pi 1.05^2}\\\Rightarrow h=2.12[/tex]

So, the radius and height which would minimize the surface area is 1.05 feet and 2.12 feet respectively.

Surface area

[tex]A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi \times 1.05^2+2\pi 1.05\times 2.12\\\Rightarrow A=20.91\ \text{ft}^3[/tex]

The minimum surface area is [tex]20.91\ \text{ft}^3[/tex].

Answer:

(3p + 5)^2

Step-by-step explanation:

9p^2 + 30p + 25

9p^2 is the square of 3p = a

25 is the square of 5 = b

This may be the square of a binomial.

We need to check the middle term.

(a + b)^2 = a^2 + 2ab + b^2

2ab = 2(3p)(5) = 30p

This is the square of a binomial.

9p^2 + 30p + 25 = (3p + 5)^2

Answer:

the probability to flip a head is 50%

Step-by-step explanation:

I think.

Answer:

M is used to represent the slope.

Step-by-step explanation:

Y = MX + C

Answer:

m is used to represent the slope

Step-by-step explanation:

y=mx+b

Answer:

87

Step-by-step

length x width=area

12*8=96-9=87

Answer:

0.25(7x-6y)

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer: I'm not sure i understand. Are you asking a question or is this just a statement

Step-by-step explanation:

Answer:

320 ft^2

Step-by-step explanation:

Answer:

12 dark chocolates

Step-by-step explanation:

Let there are 2x milk chocolates and 3x dark chocolates.

Total no of milk chocolates = 8

ATQ,

2x = 8

x = 4

Dark chocolates = 3x

= 3(4)

= 12

Hence, there are 12 dark chocolates.

Answer:

1.63

Step-by-step explanation: