Complete the table for the given rule. Rule: y = 4x
x | Y
5 | fill in
3 | fill in
4 | fill in​

Answer:

x = 7

Step-by-step explanation:

Because the points are collinear:

AB + BC = AC

We'll plug in the expressions in terms of x.

(-1 + 2x) + (11) = (3x + 3)

And solve for x. Combine like terms on the left

2x + 10 = 3x + 3

Subtract 3 on both sides

2x + 7 = 3x

Subtract 2x on both sides

7 = x

Step-by-step explanation:

It shows that the content of dietary fiber is negatively correlated to the blood cholesterol of college student, as the correlation coefficient is negative. However, the r=-0.45 shows the two factors are lowly correlated (absolute value of r between 0.3 and 0.5)

Answer:

182

Step-by-step explanation:

First, we can say that ∠ACB and ∠BCF are opposite angles because they are not next to each other and are formed by intersecting lines. Therefore, ∠ACB = ∠BCF

Next, angles correspond with the side opposite of it. This means that, for example, ∠ACB corresponds with line AB and ∠BCF corresponds with line BF. Because ∠ACB and ∠BCF are equal and the triangles are similar, we can say that their corresponding sides have a ratio with each other. Similarly, ∠CAB corresponds to CB, ∠ABC corresponds to AC, ∠CWV corresponds to CV, and ∠CVW corresponds to CB.

Because the triangle CVW is isosceles, we can say that the angles whose corresponding sides are equal are equal as well, so ∠CAB = ∠ABC and ∠CVW = ∠CVW. Next, because ∠ACB and ∠BCF are equal and correspond to each other, and the other two angles in each triangle are equal to each other, we can say that the other two angles must be equal. Another way of putting this is like this:

Say that x = ∠CAB. Then,

∠CAB + ∠ABC + ∠ACB = 180

x + x + ∠ACB = 180

2x + ∠ACB = 180

subtract ∠ACB from both sides

180 - ∠ACB = 2x

Similarly, if y = ∠CWV,

180 - ∠WCV = 2y. Therefore, 2y=2x and y=x, so ∠CAB = ∠ABC = ∠CWV = ∠CVW.

Given this, we can say that sides CV and CW correspond with BC and AC. This means that the ratio between, for example, CV and BC is equal to the ratio between CW and AC. Therefore,

CV/BC = CW/AC

84/182 = 84/?

Filling in the blank, 84/182 is equal to 84/182, so ? = 182

Answer:

0 and 2 s the answer

Answer:

x = 0, 2π/3, 4π/3, 2π.

Step-by-step explanation:

cos 2x = 2cos^2x - 1 so

2cos^2x - 1 = cos x

2cos^2x - cos x - 1 = 0

(2cosx + 1)(cos x - 1) =0

cos x = -1/2, 1.

When cos x = 1, x = 0, 2π

when cos x = -1/2, x = 2π/3, 4π/3.

Answer:

It is 9000 cents or $90 total for 5 hours

Step-by-step explanation:

Answer:

[tex] \frac{3393939}{10000000} [/tex]

Step-by-step explanation:

[tex]0.(3)3(9) = \frac{3393939}{10000000} [/tex]

Answer:

b - a

Step-by-step explanation:

Given M and N are midpoints, let's find the coordinates of the midpoints first. Then we can use that information to find the length

The midpoint formula is

( (x1 + x2)/2, (y1 + y2) / 2 )

So M = ( (2a + 2c)/2, (0 + 2d)/2 ) = (a + c, d)

And N = ( (2c + 2b)/2, (2d + 0)/2 ) = (c + b, d)

Because the y-coordinates are the same (d), the distance from M to N is,

final x-coordinate minus initial x-coordinate

x-coordinate of N minus x-coordinate of M

(c + b) - (a + c)

Distribute the negative and remove the parentheses

c + b - a - c

Group the cs together

c - c + b - a

Cancel out the cs

b - a

Answer:

formula= l³

Step-by-step explanation:

length of the cube =10mm

volume = l³

= 10³

=10×10×10

ans =1000mm

Answer:

Step-by-step explanation:

4+x-3*z(7+3+6)

4+x-3*z*16

4+x-3*16z

4+x-48z

x-48z+4

Answer: 7/64 inch is bigger by 1/64 inch difference

Step-by-step explanation:

STEP ONE: Convert the denominators into Least Common Multiple (LCM)

LCM of 32 and 64:

First 3 multiples of 32: 32, 64, 96

First 3 multiples of 64: 64, 128, 192

Since 64 overlaps in both terms, 64 is the LCM of 32 and 64.

STEP TWO: Convert the fractions

3/32 = (3 × 2) / (32 × 2) = 6/64

7/64 = 7/64

STEP THREE: Compare the numerator to define the size of fractions

6 < 7, therefore, 6/64 < 7/64

7/64 - 6/64 = 1/64 inch

Hope this helps!! :)

Please let me know if you have any questions

Answer:

I believe it is 2 days

Step-by-step explanation:

3/10 can be simplified into 1.5/5 and just go up by the 1.5/10 of a pound she needs each day. if she did it for 3 days she would need 4.5/5 so she has enough for 2 days

Answer:

[tex]herre \: total \: angle \: in \: circle = 360 \\ then \\ \: 6x + 1 + x - 19 + 35 = 360 \\ 7x - 18 + 35 = 360 \\ 7x + 17 = 360 \\ 7x = 343 \\ x = \frac{343}{7} = 49 \\ x = 49degree \\ thank \: you[/tex]

6x + 1° + x - 19° + 35° = 360°

6x + x + 1° - 19° + 35° = 360°

7x + 1° - 19° + 35° = 360°

7x + (-18)° + 35° = 360°

7x + 17° = 360°

7x = 360° - 17°

7x = 343°

x = 343° : 7

x = 49°

Answer:

2

Step-by-step explanation:

first multiply everything by 6 to get rid of the fractions

then we get 5m-4 -6 = 24m -9m -30

simplify the equation 5m-10=15m-30

subtract 5m from both sides and add 30 to both sides 10m=20

divide by 10, m=2

Answer:

60% or 3/5

Step-by-step explanation:

Add up how many students take the bus: 50, and how many walk:10

Put that number over 100 and simplify: 60/100=6/10=3/5

[tex]\\ \sf\longmapsto 3x+3=4x[/tex]

[tex]\\ \sf\longmapsto 4x-3x=3[/tex]

[tex]\\ \sf\longmapsto (4-3)x=3[/tex]

[tex]\\ \sf\longmapsto x=3[/tex]

Step-by-step explanation:

Solution,

According to figure

(3x+3)°=(4x)°

3x°+3°=4x°

3x°-4x°=-3

-x°=-3°

x°=3°

straight angles ( 1 , 2 , 3 , 4 ) parallel to straight angles Angles ( 5 , 6 , 7 , 8 )

m<8 = m< 6 = 23° [ Opposite angles]

m< 4 = m< 2 = 23°

m<8 + m< 5 = 180°

23° + m< 5 = 180°

m<5 = 180 - 23 = 157

m< 5 = m< 7 = 157° [ Opposite angles]

m< 1 = m< 3 = 157° [ Opposite angles]

straight angles ( 1 , 2 , 3 , 4 ) parallel to straight angles Angles ( 5 , 6 , 7 , 8 )

I hope I helped you^_^

Answer:

Step-by-step explanation:

[tex]Let\ say\ r \ the \common\ ratio:\\a)a_4=r^2*a_2=9*a_2\Longrightarrow\ r=3\ (not\ -3\ since\ parts\ are\ positive)\\\\b)\\\displaystyle \sum_{i=1}^{n} a_i =a_1+a_2+a_3+...+a_n\\\\=a_1+a_1*r+a_1*r^2+a_1*r^3+...+a_1*r^{n-1}\\\\=a_1*(1+r+r^2+...+r^{n-1})\\\\=a_1*\dfrac{r^n-1}{r-1} \\\\147620=5*\frac{(3^n-1)}{3-1} \\\\3^n-1=\frac{2*147620}{5} \\\\3^n=59049 \\\\n*ln(3)=ln(59049)\\\\n=\dfrac{ln(59049)}{ln(3)} \\\\n=10\\\\a_n=5*3^{10-1}=5*19683=98415(cm)[/tex]

Answer:

12+x

Step-by-step explanation:

=-6+1/4x+3(1/4x+6)

=-6+x/4+3(x/4+6)

=-6+x/4+3×(x+24/4)

=-6+x/4+3x+72/4

=-24+x+3x+72/4

=48+4x/4

=4(12+x) /4

=12+x.

hence, answer is 12+x..

Answer:

1x + 12

Step-by-step explanation:

-6 + 1/4x + 3(1/4x + 6)

-6 + 1/4x + 3/4x + 18

-6 + 1x + 18

1x + 12

Answer:

[tex] - 9 \sqrt{48} - 8 \sqrt{12} \\ = - 9 \times 4 \sqrt{3} - 8 \times 2 \sqrt{3} \\ = - 36 \sqrt{3} - 16 \sqrt{3} \\ = \sqrt{3} ( - 36 - 16) \\ = \sqrt{3} \times - 52 \\ = - 52 \sqrt{3} \\ thank \: you[/tex]

Answer:

Daughter is 12 and mother is 48.

Step-by-step explanation:

Let the daughters age be x years now then the mothers age is 4x.

6 years ago the daughter was x-6 years  and the mother was 4x - 6.

So we have the equation:

x - 6 + 4x - 6 = 48

5x - 12 = 48

5x = 60

x = 12

So the daughter is 12 and the mother is 4*12 = 48.

Answer:

20 seconds

Step-by-step explanation:

h(t) = -16t2 + 640t

to find the maximum value =>

h'(t) = 0

-32t + 640 = 0

-32(t -20)= 0

t-20 = 0

t = 20 seconds

Find derivative of h(t)

[tex]\\ \rm\longmapsto \dfrac{d}{dx}(-16t^2+640t)[/tex]

[tex]\boxed{\sf \dfrac{d(x^n)}{dx}=nx^{n-1}}[/tex]

[tex]\\ \rm\longmapsto -32t+640[/tex]

[tex]\\ \rm\longmapsto -32t+640=0[/tex]

[tex]\\ \rm\longmapsto -32t=-640[/tex]

[tex]\\ \rm\longmapsto t=\dfrac{-640}{-32}[/tex]

[tex]\\ \rm\longmapsto t=20s[/tex]

Answer:

Step-by-step explanation:

The child graph is shifted 9 units to the right. That's what the nine does. The graph also shifts 3 units down when compared to g(x).

I have put a graph in so that you can see the shifts for yourself.

The red line is g(x) = x^4

The blue line is f(x) = (x - 9)^4 - 3

Answer:

185.22 km

Step-by-step explanation:

Assuming that you forgot the percentage sign In the question. Ann drove 185.22 km on Saturday.

komhnyrtgfdedavfbfsfb

Answer:

[tex]x = 1[/tex]

Step-by-step explanation:

[tex]7(x+2)+34=55[/tex]

[tex]7(x+2)+34=55[/tex]

[tex](7)(x)+(7)(2)+34=55[/tex]

[tex]7x+14+34=55[/tex]

[tex]7x+48=55[/tex]

[tex]7x = 55 - 48[/tex]

[tex]7x=7[/tex]

[tex]x = 1[/tex]

Answer:x=1

Step-by-step explanation: