tom keeps sticky notes in a box that is the shape of a cube. each side of the box is 4 inches. what is the volume of the box

Answers

Answer 1

Answer: Formula for volume: Length x Width x Height
v=lxwxh
v=4x4x4
v=64in3

Answer 2

Answer: 4x4x4=64 volume is lenght x width x height

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The steps below show the incomplete solution to find the value of x for the equation 5x − 2x − 3 = −2 + 15: Step 1: 5x − 2x − 3 = −2 + 15 Step 2: 5x − 2x − 3 = 13 Step 3: 3x − 3 = 13 Which of these is most likely the next step? (4 points) 3x = 16 3x = 10 3x = 39 3x = 3i believe it is 3x=3

I have no idea how to do this: Slope= -3, y-intercept= -1 its slope-intercept formSlope= -2, y-intercept= -4

Through: (-3,2) , slope=-1/3

Through: (3,2) and (0,-5)

x-5y-5=0

Answers

Slope-intercept form is $\sf~y=mx+b$ , where $\sf~m$ is the slope and $\sf~b$ is the y-intercept.

Slope = -3, y-intercept = -1

Plug in what we know:

$\sf~y=mx+b$

$\sf~y=-3x-1$

Slope = -2, y-intercept = -4

Plug in what we know:

$\sf~y=mx+b$

$\sf~y=-2x-4$

Through: (-3,2) , slope=-1/3

Okay, here we use point-slope form, and the simplify to get it in slope-intercept form.

$\sf~y-y_1=m(x-x_1)$

Where $\sf~y_1$ is the y-value of the point, $\sf~x_1$ is the x-value of the point, and $\sf~m$ is the slope.

Plug in what we know:

$\sf~y-2=-(1)/(3)(x+3)$

Distribute -1/3 into the parenthesis:

$\sf~y-2=-(1)/(3)x-1$

Add 2 to both sides:

$\sf~y=-(1)/(3)x+1$

Through: (3,2) and (0,-5)

Now we plug this into the slope-formula to find the slope, plug the slope and one of these points into point-slope form, then simplify to get it in slope-intercept form.

$\sf~m=(y_2-y_1)/(x_2-x_1)$

(3, 2), (0, -5)
x1 y1 x2 y2

Plug in what we know:

$\sf~m=(-5-2)/(0-3)$

Subtract:

$\sf~m=(-7)/(-3)$

$\sf~m=(7)/(3)$

Plug this into point-slope form along with any point.

$\sf~y-y_1=m(x-x_1)$

$\sf~y-2=(7)/(3)(x-3)$

Distribute 7/3 into the parenthesis:

$\sf~y-2=(7)/(3)x-7$

Add 2 to both sides:

$\sf~y=(7)/(3)x-5$

x-5y-5=0

Add 5 to both sides:

$\sf~x-5y=5$

Subtract 'x' to both sides:

$-5y=-x+5$

Divide -5 to both sides:

$\sf~y=(1)/(5)x-1$

X^2-6x-25=0. Solve by completing the square.

Answers

Hey there,
x^2 -6x+25=0
Per quadratic formula, roots of ax^2+bx+c are
x=[-b+sqrt(b^2-4ac)]/2a and x=[-b-sqrt(b^2-4ac)]/2a

In this example, a=1, b=-6, and c=25
So, x= [6+sqrt(36-100)]/2 and x= [6-sqrt(36-100)]/2
=> x = [6+sqrt(-64)]/2 and x = [6-sqrt(-64)]/2
=> x = 3+4i and x= 3-4i

Hope this helped you alot!!!!!!!!

Select all functions that have a y-intercept of (0,5).f(x)=7(b)^x-2
f(x)=-3(b)^x-5
f(x)=5(b)^x-1
f(x)=-5(b)^x+10
f(x)=2(b)^x+5

Answers

Answer:

$f(x)=7(b)^(x)-2$

$f(x)=-5(b)^(x)+10$

Step-by-step explanation:

we know that

The y-intercept is the value of y when the value of x is equal to zero

Verify each case

case 1) we have

$f(x)=7(b)^(x)-2$

For x=0

$f(0)=7(b)^(0)-2$

$f(0)=7(1)-2=5$

therefore

The function has a y-intercept of (0,5)

case 2) we have

$f(x)=3(b)^(x)-5$

For x=0

$f(0)=3(b)^(0)-5$

$f(0)=3(1)-5=-2$

therefore

The function does not have a y-intercept of (0,5)

case 3) we have

$f(x)=5(b)^(x)-1$

For x=0

$f(0)=5(b)^(0)-1$

$f(0)=5(1)-1=4$

therefore

The function does not have a y-intercept of (0,5)

case 4) we have

$f(x)=-5(b)^(x)+10$

For x=0

$f(0)=-5(b)^(0)+10$

$f(0)=-5(1)+10=5$

therefore

The function has a y-intercept of (0,5)

case 5) we have

$f(x)=2(b)^(x)+5$

For x=0

$f(0)=2(b)^(0)+5$

$f(0)=2(1)+5=7$

therefore

The function does not have a y-intercept of (0,5)

If you know the rate of a water leak in gallons per hour, how can you find the number of hours it takes for 1 gallon to leak out?

Answers

You will need to take the rate it's leaking out at, and figure out how many times that unit goes into one full gallon. Then you will need to multiply your answer by the time given in the rate.

Example: If the rate is .5 gallon per 1 hour, then we already know that it will take 2 hours...but to calculate it, we will take the .5 gallon and see how many times it goes into a full gallon, Its 2. Now multiply by 1 (since the rate was .5 gallon per 1 hour). So the answer is in fact 2.

Example 2: If the rate was .5 gallon every 2 hours, we will use the same method. If we think about it, we probably already know it will be 4 hours...but lets calculate!

.5 gallon goes into 1 full gallon twice. And 2 x 2 = 4

Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product?