What Did The Acorn Say When It Grew Up?

Answer:

[tex]y = \frac{4}{5} x - \frac{22}{5} [/tex]

Step-by-step explanation:

[tex]y = mx + b[/tex]

[tex] - 2 = \frac{4}{5} (3) + b \\ - 2 = \frac{12}{5} + b \\ - 2 - \frac{12}{5} = b \\ - \frac{10}{5} - \frac{12}{5} = b \\ - \frac{22}{5} = b[/tex]

Therefore, the equation of the line that goes through point (3, -2)and has slope ⅘ is

[tex]y = \frac{4}{5} x - \frac{22}{5} [/tex]

Answer:

60

Step-by-step explanation:

All line segments are shown to be equal in length so all interior angles must equal 180 degrees.

Since all sides are equal length, the angles must be equal also.

All angles must be 60 degress and 60+60+60 =180

Answer:

60 degrees for all sides

Step-by-step explanation:

all equal and 60+ 60+ 60= 180

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let's solve for " w "

Answer:

w = √( x - y ) / v

Step-by-step explanation:

in this situation, we are actually asked to make w the subject of the formula

this !means that we should make w be equal to every other variable meaning;

w = y + x

note that this is just an example

so, let us get started

we have;

vw² + y = x

first of all we have to move the y to the right hand side

it is more like collecting like terms so that at the end of the day we only end up with w on that side

vw² = x - y

now, we have to remove the ²

we will do that by square rooting both sides

√( vw )² = √( x - y )

the square root will remove the square because they are opposites of each other.

it is more like a multiplication sign canceling a division sign or when we bring a subtraction sign to the other side of the equation and it turns to an addition sign.

in our case, it is like bringing the square to the other side of the equation and it turns to a square root sign

so,

vw = √( x- y )

we ate almost done.

it is now time to remove the v by dividing through by v

this means that we remove the multiplication sign bonding the v and w through division just like the square root removing the square

vw / v = √( x - y ) / v

w = √( x - y ) / v

therefore , our answer is

w = √( x - y ) / v

Answer:

hi

Step-by-step explanation:

Using the exponential model given, the number of bacteria in the culture after 9 minutes after the observation began will be 4789

Given the exponential model :

The number of bacteria in the culture 9 minutes after the observation began can be calculated thus :

[tex]t = 9 \: minutes [/tex]

Substitute 9 for t in the exponential equation :

[tex] A(t) = 4000e^{0.02\times9} [/tex]

[tex] A(t) = 4000e^{0.18} [/tex]

[tex] A(t) = 4000 \times 1.1972173 [/tex]

[tex] A(t) = 4788.87 [/tex]

Therefore, the number of bacteria in the culture after 9 minutes will be about 4789

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Answer:

$8

Step-by-step explanation:

If the first 3 students spend $24 on food total, and they split the bill equally, each of the 3 paid $8. We know this because 24 ÷ 3 = 8.

Answer:

[tex]\huge\boxed{\sf 7 + 5\sqrt{3} }[/tex]

Step-by-step explanation:

[tex](\sqrt{3} +4)(1+\sqrt{3})\\\\= \sqrt{3}(1+\sqrt{3} )+4(1+\sqrt{3})\\\\= \sqrt{3} + (\sqrt{3} )^2 + 4 + 4\sqrt{3} \\\\= \sqrt{3} + 3+4+4\sqrt{3} \\\\= 7 + \sqrt{3} + 4\sqrt{3} \\\\Take \ \sqrt{3} \ common\\\\= 7 + \sqrt{3} (1+4)\\\\= 7 + \sqrt{3}(5)\\\\= 7 + 5\sqrt{3} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

The slope of (6, 5) and (3, 7.5) is 5/-6.

As a decimal: (-0.83333333333...)

Step-by-step explanation:

Formula for slope:

[tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]

('m' means slope.)

[tex](x^1,y^1) =[/tex] coordinates of the first coordinate point

[tex](x^2,y^2)=[/tex] coordinates of the second coordinate point.

--------------------------

Coordinates:

[tex](6,5)(3,7.5)[/tex]

-------------------------

Now, I will simply plug the numbers into the formula.

[tex]m=\frac{7.5-5}{3-6} =\frac{2.5}{-3} =5/-6[/tex]

As a decimal: (-0.83333333333...)

The slope of the given points is 0.833

Slope, m, is given by the formula

[tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

From the question

[tex]x_{1} = 6[/tex]

[tex]y_{1} = 5[/tex]

[tex]x_{2}=3[/tex]

[tex]y_{2}=7.5[/tex]

Putting the above parameters into the formula

[tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

We get

[tex]m =\frac{7.5-5}{3-6}[/tex]

∴ [tex]m= \frac{2.5}{-3}[/tex]

[tex]m = 0.833[/tex]

Hence, the slope of the given points is 0.833

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Answer:

Where is graph Hope you understand me

Answer:

1\2 oats that's easy it's 1\2 that's the answer

Answer:

4 bags, or 4 1/4 bags

Step-by-step explanation:

change 3 1/2 into a improper fraction, then change it to have a common denominator as 3/4. the expression would then be (14/4 + 3/4) divided by 1/2. 17/4 divided by 1/2 is 4 1/4. it would depend if they meant to fill the whole bag.

Answer:

2/8 po sana maka tulong po salamat

Answer:

-4×(-5)=20

have a nice day <3

Answer:

5

Step-by-step explanation:

have a great day and hope helpful pls mark as brainliest

Answer:

x = 15.9

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

6^2 + x^2 = 17^2

36+ x^2 = 289

x^2 = 289-36

x^2 =253

Take the square root of each side

sqrt(x^2) = sqrt( 253)

x = 15.90597

Rounding to the nearest tenth

x = 15.9

Answer:

Step-by-step explanation:

89

Answer:

y=-1/2x+4

Step-by-step explanation:

Answer:

Step-by-step explanation:

(t-3)^5 is the same as (t + (-3))^5

First:  t starts at the highest power and goes down and (-3) starts at the lowest power and goes up

Second: from the Pascal triangles take the coefficients  1  5  10  10  5  1

[tex]1*t^{5} (-3)^{0} + 5*t^{4} (-3)^{1} +10*t^{3} (-3)^{2} +10*t^{2} (-3)^{3} +5*t^{1} (-3)^{4} +1*t^{0} (-3)^{5}[/tex]

Anything to power 0 is equal to 1

Negative number to an odd power is negative, to a even power is positive

[tex]t^{5} -15t^{4} +90t^{3} -270t^{2} +405t -243[/tex]

Answer:

Step-by-step explanation:

This helps in the representation of problems as mathematical expressions. It involves variables like x, y, z and mathematical operations like addition, subtraction, multiplication and division to form a meaningful mathematical expression. For example in algebra is 2x+4=8.

Answer:

area of the parallelogram =base×height

=4cm×1cm

=4cm²

Answer:

she has 13.57 left on her gift card

Answer:

Step-by-step explanation:

Can I have brainliest pls?

Answer:

x<31/32

Step-by-step explanation:

Answer:

27.59 without tax

Step-by-step explanation:

27.95 with tax

Answer:

f(-2) =  -5

Step-by-step explanation:

Actually, the function g(x) is irrelevant here.  We need only evaluate the function f(x) = 3x + 1 at x = -2:

f(-2) = 3(-2) + 1 = -6 + 1 = -5

f(-2) =  -5

Answer:

19, 31

Step-by-step explanation:

2+5 is 7, 7+12 is 19, so forth

Answer:

It's B

Step-by-step explanation:

"•"means it's included

° means it's not.

Answer:

I am not sure but i think it is D

Answer:

B

Step-by-step explanation:

Because angle F is equal angle G, 2x+4=3x. Solving for x, we get 4.