Which expression could be used to calculate the volume of the new can?

Answer:

Hey there!

The range is (-∞, 2)

Hope this helps :)

Answer/Step-by-step explanation:

The constant rate of change that occurs can be calculated using the formula, [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let any 2 given pair values represent (x, y).

Thus, let's use (3, 3) and (5, 4.5)

Let (3, 3) = (x1, y1)

(5, 4.5) = (x2, y2)

Rate of change = [tex] \frac{4.5 - 3}{5 - 3} = \frac{1.5}{2} [/tex]

Rate of change = 0.75

The rate of change, 0.75, means in terms of growth, the height of the plant increases by 0.75 inches every week.

Answer:

The surface area of the gift box is = [tex]A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}[/tex]

Step-by-step explanation:

The surface area of the cylinder can be calculated using this formula:

[tex]A=2\pi rh+2\pi r^2[/tex]

in this case, r is not a number, but rather an expression, which is r = [tex]3x +1[/tex].

The height of the gift box is twice the radius, which is h = [tex]2(3x+1)= 6x+2[/tex]

To get our curved surface area, we carefully put the expressions for h and r into the equation.

[tex]A = 2 \times \frac{22}{7} \times (3x+1) \times (6x+2) + 2 \times \frac{22}{7} \times (3x+1)^{2}[/tex]

[tex]A = \frac{44}{7} (3x+1) \times (6x +2) + \frac{44}{7} (9x^{2} + 6x +1)\\A =\frac{132}{7}x + \frac{44}{7} \times (6x+2)+ \frac{396}{7}x^{2}+\frac{246}{7}x +\frac{44}{7}[/tex]

[tex]A = \frac{792}{7}x^{2} +\frac{264}{7}x +\frac{264}{7}x + \frac{88}{7} + \frac{396}{7}x^{2} + \frac{246}{7}x + \frac{44}{7}[/tex]

[tex]A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}[/tex]

The surface area of the gift box is = [tex]A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}[/tex]

Answer:

C)

Step-by-step explanation:

The answer is infinitely many solutions

because a1/a2 = b1/b2 = c1/c2.

Hope it helps :)

If you multiply the top equation (x+y=3) by 5 it gives you the same exact solution as the bottom one (5x+5y=15). Therefore, the both equations end up being the same and get canceled out because they both end up being (5x+5y=15), and the only way you can solve those is if you cancel out what is common in both equations.

Answer:

Solution : Option A

Step-by-step explanation:

Let' go through all the options we have here.

• x + 2 = - 1 / 8y² converted into standard form will be 4(- 2)(x - (- 2)) = (y - 0)². The parabola properties will be similar to the ones of this parabola, vertex = (- 2,0) and focal length = - 2. It hence is most likely to be the parabola provided to us.

• y = 1 / 8(x + 2)² is an up - down facing parabola, and hence is not at all similar to the given parabola

• x - 2 = 1 / 8y² will be a graph reflected over the y - axis with respect to the graph x + 2 = - 1 / 8y². It hence does not match the given parabola

•  y = 1 / 8(x + 2)² will be a graph reflected over the x - axis with respect to the graph of y = 1 / 8(x + 2)². It will hence be a down - up facing parabola, which does not match the given parabola

Answer:

195 miles

Step-by-step explanation:

This is because it is closer to the avg. 192.5 miles

Answer:

2/3

Step-by-step explanation:

A die has 6 sides.  If a 3 or 5 is rolled, then bag M is selected.  So the probability that bag M is selected is 2/6 = 1/3.

Likewise, if a number other than 3 or 5 is rolled, then bag N is selected.  So the probability that bag N is selected is 4/6 = 2/3.

If bag M is selected, the probability the marble is green is 2/5.  The probability that M is selected, AND the marble is green, is therefore:

(1/3) (2/5) = 2/15

If bag N is selected, the probability that the marble is green is 8/10 = 4/5.  The probability that N is selected, AND the marble is green, is therefore:

(2/3) (4/5) = 8/15

The total probability that a green marble is selected is therefore:

P = 2/15 + 8/15

P = 10/15

P = 2/3

Bag M: 3 red and 2 green = 5 total, so green = 2/5

Bag N: 2 red and 8 green = 10 total, so green = 8/10 = 4/5

Dice roll: chance of getting Bag M is 2/6  ( 2 numbers out of 6 total numbers on a die), reduces to 1/3

Chance of getting Bag N is 4/6 = 2/3

The probability of picking green = Probability of Bag M x Probability of green in bag M + probability of bag N x probability of green in bag N:

2/5 * 1/3 + 4/5 * 2/3 = 2/15 + 8/15 = 10/15 = 2/3

The probability = 2/3

Answer:

[tex]KBC = 28.3[/tex]

Step-by-step explanation:

Given

ABK = 28.3

Required

Determine KBC and ABC

Since BK is a bisector of ABC, then it divides the angle to ABK and KBC:

Such that

[tex]KBC = ABK[/tex]

Substitute 28.3 for ABK

[tex]KBC = 28.3[/tex]

Also;

[tex]ABC = KBC + ABK[/tex]

Substitute 28.3 for ABK and KBC

[tex]ABC = 28.3 + 28.3[/tex]

[tex]ABC = 56.6[/tex]

Hence;

[tex]KBC = 28.3[/tex] and

Answer:

[tex]269[/tex]

Step-by-step explanation:

[tex]6j + 23 + kl - 3 = 6(3) + 23 + 7 \times 33 - 3 = 18 + 23 + 231 - 3 = 269[/tex]

Answer:

Days can Stefan feed

Coco with the oats he has left is 5 days

Step-by-step explanation:

Total Oats = 4 1/2 cups

He uses 3 1/4 cups to make granola bars for

a camping trip

Remaining oats after making granola bars = Total oats - oats used for granola bars

= 4 1/2 - 3 1/4

.= 9/2 - 13/4

= 18-13/4

= 5/4 cups

Remaining oats after making granola bars is 5/4 cups

Coco needs 1/4 of a cup of oats each day, how many days can Stefan feed

Coco with the oats he has left?

Days can Stefan feed

Coco with the oats he has left = Remaining oats / 1/4 cups

= 5/4 cups ÷ 1/4 cups

= 5/4 × 4/1

= 20/4

= 5 days

Days can Stefan feed

Coco with the oats he has left is 5 days

Answer:

5 days

Step-by-step explanation:

Answer:

500+60g

Step-by-step explanation:

This is the answer because every game costs $60 and you represent everytime you buy a game by using 60g. And you can't put 500 g because that is not what each game costs 500 represents how much the computer is.

Answer:

This question seems to be incomplete, so i will answer it in a general way.

If we have a vector;

b = (b1, b2)

where b1 and b2 are the x-component and the y-component (respectively) of the vector b, then we can write the vector as:

b = (b1, b2) = b1*x^ + b2*y^

Where x^ = (1, 0) and y^ = (0, 1)

Are the unit vectors.

Answer:

There is a 30 % probability of getting  a number greater  than 4.

In  fraction  it 6/20

In decimal it is 0.3

Step-by-step explanation:

The experimental probability is found out by dividing the total favorable outcomes with the total possible outcomes

P (x= 1) = 3/20= 0.15

P (x= 2) = 4/20= 0.2

P (x= 3) = 5/20= 0.25

P (x= 4) = 2/20= 0.1

P (x= 5) = 4/20= 0.2

P (x= 6) = 2/20= 0.1

Now probability greater than 4 = P (x=5) + P(x=6)

                                                   = 4/20 + 2/20= 6/20

                                                    = 0.2+ 0.1= 0.3

So multiplying it with 100 we get = 0.3* 100= 30%

There is a 30 % probability of getting  a number greater  than 4.

Answer:

When a= -8, the equation 3(2x-a) = 2(3x+12) has infinitely many solutions

Step-by-step explanation:

Given:

3(2x-a) = 2(3x+12)

6x - 3a = 6x + 24

Subtract 6x from both sides

6x - 3a - 6x = 6x + 24 - 6x

-3a = 24

Divide both sides by -3

a= 24 / -3

a = -8

Substitute a= -8 into the equation

3(2x-a) = 2(3x+12)

3{2x -(-8)} = 2(3x+12)

3(2x + 8) = 2(3x +12)

6x + 24 = 6x + 24

6x - 6x = 24 - 24

0 = 0

When a= -8, the equation 3(2x-a) = 2(3x+12) has infinitely many solutions

Answer:

aops question smh

Step-by-step explanation:

Answer:

If the x is a multiplying sign then the answer is 6, but

if the x is the letter x then it will be x=4

Answer:

theres 8

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

To do this you just have to do the slope formula which is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] then plug in the numbers so you get [tex]\frac{8-2}{6-8}[/tex] which would[tex]\frac{6}{-2}[/tex] get you which can be reduced to -3 so that would be the answer

Answer:

the formula of slope is : (y)₂-(y)₁ ÷(x)₂-(x)₁

Step-by-step explanation:

(x)₁=8,(x)₂=6

(y)₁=2,(y)₂=8

the slope = (y)₂-(y)₁ ÷ (x)₂-(x)₁

= 8-2 ÷6-8

= 3/-1

= -3

therefore slope is -3

x =1/3

25ˣ⁺¹ = 125/5ˣ

5²⁽ˣ⁺¹⁾ = 5³/5ˣ

5²⁽ˣ⁺¹⁾ = 5³ : 5ˣ

5²⁽ˣ⁺¹⁾ = 5³⁻ˣ

2(x + 1) = 3 - x

2x + 2 = 3 - x

2x + x = 3 - 2

3x = 1

x = 1/3

Answer:

C. 0.077

Step-by-step explanation:

Use binomial probability.

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

n = 10, r = 4, p = 0.64, q = 0.36.

P = ₁₀C₄ (0.64)⁴ (0.36)⁶

P = 210 (0.64)⁴ (0.36)⁶

P = 0.077

The long way to do this is to have

4*4*4 *4*4*4 *4

so we have 7 copies of '4' multiplied together

Typing this into your calculator leads to

4*4*4 *4*4*4 *4 = 16384

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The shortcut is to use exponents

Writing 4^7 means we have a base of 4 and an exponent of 7.

Saying 4^7 is the same as saying [tex]4^7[/tex]

To enter in your calculator, you would hit the button labeled [tex]x^y[/tex]

So you'll type 4, then the [tex]x^y[/tex] button followed by 7

Your calculator will then show 16384 as a result.

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

Side note: you could compute all this by hand using pencil & paper, but to me that seems like tedious busy work (so why not use a calculator to be efficient).

Answer:

[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

The slope of a line is always rise over run.

To find the slope of this line, we are looking for two points that are on an integer x value and an integer y value.

One of these points is (-4, 1). Another one is (0, -2).

Studying the y-values of both (the rise), the change in y is [tex]1 - (-2) = 1+2 = 3[/tex], and since we are going down, the change is [tex]-3[/tex].

Studying the x values of both (the run), we can see that the rate of change is [tex]|-4 + 0| = 4[/tex].

So the rise over run will be [tex]\frac{-3}{4}[/tex], or just [tex]-\frac{3}{4}[/tex]. This is also the slope as slope is rise over run.

Hope this helped!

Answer:

-3/4

Step-by-step explanation:

Take two points on the line

(-4,1) and (0,-2)

Using the slope formula

m = (y2-y1)/(x2-x1)

    = (-2-1)/(0- -4)

   = -3/4

Answer:

The lengths of the sides are 30 ft, 60 ft, 15 ft, 45 ft

Step-by-step explanation:

The perimeter is 150 ft, the length of the fence.

We add the lengths of the sides and set equal to the perimeter. Then we solve for x. Once we know x, we find the length of each side.

x + 2x + 0.5x + 45 = 150

3.5x = 105

x = 105/3.5

x = 30

Lengths of sides:

x = 30

2x = 2(30) = 60

0.5x = 0.5(30) = 15

45

Answer: The lengths of the sides are 30 ft, 60 ft, 15 ft, 45 ft

Answer:

x=6- sqrt(5)

x=6+ sqrt(5)

Step-by-step explanation:

(x - 6)^2 - 5 = 0

Add 5 to each side

(x - 6)^2 =5

Take the square root of each side

sqrt((x - 6)^2)  =± sqrt(5)

x-6 =  ± sqrt(5)

Add 6 to each side

x-6+6=6± sqrt(5)

x=6± sqrt(5)

from least to greatest

x=6- sqrt(5)

x=6+ sqrt(5)

Answer:

[tex]\Large \boxed{ x=6 -\sqrt{5} \ \ \mathrm{or} \ \ x=6 + \sqrt{5}}[/tex]

Step-by-step explanation:

[tex](x - 6)^2 - 5 = 0[/tex]

Adding 5 to both sides of the equation.

[tex](x - 6)^2 =5[/tex]

Taking the square root of both sides of the equation.

[tex]x-6 =\pm \sqrt{5}[/tex]

Adding 6 to both sides of the equation.

[tex]x=6 \pm \sqrt{5}[/tex]

Here you go. This is the graph of the function:

y - 3 = 2(x - 5)

Answer:

slope = 2  y intercept = ( 0, -7 )

Step-by-step explanation:

x       y

0      -7

7/2    0

Answer:

2/3

Step-by-step explanation:

Let n = the repeating, non-terminating number 0.666...

We now have n = 0.666666...

We want the number n in the form of a fraction.

Since only 1 digit repeats, the 6, use a 1 followed by 1 zero, which means the number 10. Now multiply both sides by 10 and write the original equation below it.

10n = 6.666666...

   n = 0.666666...

Subtract the bottom equation from the top equation.

9n = 6

n = 6/9

n = 2/3

Answer:d

Step-by-step explanation:

The greatest so place the biggest one in the middle so 1.5+5+2=8.5

Answer: Girls weekly: 25; Girls never:40; boys yearly: 25; boys never: 20; boys total:80 monthly total: 30

Step-by-step explanation:

You have to figure it out by adding or subtracting where ever it needs to be like in girls weekly you have to subtract the weekly total and the boys weekly to figure it out.

$2^4785733858979-|&duts7stpzo64suprxxruxpu5dp7d058d805d0y7f

I'm assuming you want to solve for  z  :)

By simplifying both sides of the equation, then isolating the variable.

Exact form:

z= -5/3 , - 11/3

Mixed number form:

z=  −1  2/3  ,  −3  2/3

Answer:

There are two solutions, -5/3 and -11/3

Step-by-step explanation:

Move -5 to the right side and add:

-5 | 3x + 8 | = -15

Get rid of the absolute-value bars by splitting them into negative and positive cases.

Solve negative case

-5 ( 3z + 8 ) = -15

Distribute or Multiply:

-15z - 40 = -15

Rearrange and Add:

-15z = 55

Divide both sides by 15:

-z= 11/3

Multiply both sides by -1:

z= -11/3

Solve negative case

5 ( 3z + 8 ) = -15

Distribute or Multiply:

15z + 40 = 15

Rearrange and Add:

15z = -25

Divide both sides by 15:

z = -(5/3)

Answer

z=-11/3

z=-5/3

Answer:

x=3

Step-by-step explanation:

4(2x - 1) = 20

Divide each side by 4

4/4(2x - 1) = 20/4

2x-1 = 5

Add 1 to each side

2x-1 +1 = 5+1

2x= 6

Divide by 2

2x/2 = 6/2

x = 3

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

Use the distributive property to expand the left side:

[tex]a(b-c)\\\\ab-ac[/tex]

Simplify:

[tex]4(2x-1)=20\\\\4(2x)-4(1)=20\\\\8x-4=20[/tex]

Isolate the variable, x. Add 4 to both sides of the equation:

[tex]8x-4+4=20+4\\\\8x=24[/tex]

Now divide both sides by 8:

[tex]\frac{8x}{8} =\frac{24}{8}\\\\ x=3[/tex]

The value of x is 3.

:Done

Answer:

A. a=2, b=1, c=5

Step-by-step explanation:

Given:

2x^2+5=-x

Rearrange to have the format

ax^2+bx+c=0

2x^2+5=-x

Add x to both sides

2x^2 + 5 + x = - x + x

2x^2 + 5 + x = 0

2x^2 + x + 5 = 0

ax^2 + bx + c = 0

Where

a= coefficient of x ^2

b = coefficient of x

c= constant

Therefore,

a= 2

b = 1

c= 5

A. a=2,b=1,c=5 is the correct answer

Answer:

[tex]\huge \boxed{\mathrm{A.} \ a=2, \ b=1, \ c=5}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

2x² + 5 = -x

The quadratic equation is in the form :

ax² + bx + c = 0

Rewriting the equation by adding x to both sides :

2x² + 1x + 5 = 0

The value of a is 2.

The value of b is 1.

The value of c is 5.

[tex]\rule[225]{225}{2}[/tex]