What is the least common facter of 9 and 12?

Answer:

You can make 22 burgers.

Step-by-step explanation:

If you have 312 pounds of ground beef and burgers are 14 pounds, divide 312 by 14 ( 312 / 14).  This gives you an answer of 22.28 You will have leftovers because 14 does not go into 312 perfectly. You can also check the answer by doing multiplication ( 22 * 14) which gives you 308. You cannot have another burger because 308 + 14 = 322 which is over the amount of beef you have.

Answer:

y= -1/3x + 5

Step-by-step explanation:

Answer:

y=13

Step-by-step explanation:

2(6)+1

=12+1

=13

Answer:

y=13

Step-by-step explanation:

by replacing x in the equation with 6 the equation becomes y=2(6)+1 this is just a simple equation that you use to get the answer. 2×6 is 12 and 12+1=13 so y=13.

We calculate the stresses at points A and B are as follows: σA = 20.4 MPa (total normal stress at A), τA = 40.8 MPa (total shear stress at A), σB = 40.8 MPa (total normal stress at B), τB = 0 MPa (total shear stress at B).

To calculate the stresses at points A and B, we need to consider the loading shown in the diagram. At point A, there is a compressive force applied vertically and a tensile force applied horizontally. At point B, there is only a compressive force applied vertically.

To calculate the stresses, we'll use the following formulas:

Normal stress (σ) = Force/Area
Shear stress (τ) = Force/Area

1. Calculate the stresses at point A:
- Total normal stress at A (σA):
  - Vertical force = 10 kN (convert to N: 10,000 N)
  - Area = π(radius)²

    Area = π(0.025/2)²

    Area = 0.0004909 m²
  - σA = 10,000 N / 0.0004909 m²

    σA = 20,400,417.4 Pa

    σA = 20.4 MPa

- Total shear stress at A (τA):
  - Horizontal force = 20 kN (convert to N: 20,000 N)
  - Area = π(radius)²

    Area = π(0.025/2)²

    Area = 0.0004909 m²
  - τA = 20,000 N / 0.0004909 m²

     τA = 40,800,834.8 Pa

     τA = 40.8 MPa

2. Calculate the stresses at point B:
- Total normal stress at B (σB):
  - Vertical force = 20 kN (convert to N: 20,000 N)
  - Area = π(radius)²

    Area = π(0.025/2)²

    Area = 0.0004909 m²
  - σB = 20,000 N / 0.0004909 m²

    σB = 40,800,834.8 Pa

    σB = 40.8 MPa

- Total shear stress at B (τB):
  - Since there is no horizontal force at point B, τB = 0 MPa

Therefore, the stresses at points A and B are as follows:
σA = 20.4 MPa (total normal stress at A)
τA = 40.8 MPa (total shear stress at A)
σB = 40.8 MPa (total normal stress at B)
τB = 0 MPa (total shear stress at B)

These calculations help us understand the stress distribution within the solid rod due to the given loadings.

Learn more about the stress from the given link-

https://brainly.com/question/29488474

#SPJ11

Answer:

A= -8

B= 0

C= 0

D= 8

Step-by-step explanation:

Using derivatives, it is found that:

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

The first step is finding the critical points of f(x), which are the points in which \(f^{\prime(x)} = 0\)

The function is: \(f(x) = -x^2 + 4\).

Thus, the derivative is:

\(f^{\prime}(x) = -2x\)

The critical point is:

\(-2x = 0 \rightarrow x = 0\)

A similar problem is given at https://brainly.com/question/13539822

The distance between the points u= 0 −6 3 and z= −2 −1 8 is approximately 9.95 units.

To calculate the distance between two points in three-dimensional space, we can use the distance formula, which is derived from the Pythagorean theorem. The distance formula states that the distance between two points (x1, y1, z1) and (x2, y2, z2) is equal to the square root of [(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2].

Using this formula, we can find the distance between u and z as follows:

d = sqrt[(-2 - 0)^2 + (-1 - (-6))^2 + (8 - 3)^2]

= sqrt[4 + 25 + 25]

= sqrt(54)

≈ 9.95

Therefore, the distance between the points u and z is approximately 9.95 units.

Learn more about Distance:

brainly.com/question/15172156

#SPJ11

The area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

We have to find the area of the region enclosed by one loop of the curve.

The given curve is:

r = sin(10θ)

Consider the region r = sin(10θ)

The area of region bounded by the curve r = f(θ) in the sector a ≤ θ ≤ b is

A = \(\int^{b}_{a}\frac{1}{2}r^2d\theta\)

Now to find the area of the region enclosed by one loop of the curve, we have to find the limit by setting r=0.

sin(10θ) = 0

sin(10θ) = sin0   or    sin(10θ) = sinπ

So θ = 0             or      θ = π/10

Hence, the limit of θ is 0 ≤ θ ≤ π/10.

Now the area of the required region is

A = \(\int^{\pi/10}_{0}\frac{1}{2}(\sin10\theta)^2d\theta\)

A = \(\frac{1}{2}\int^{\pi/10}_{0}\sin^{2}10\theta d\theta\)

A = \(\frac{1}{2}\int^{\pi/10}_{0}\frac{(1-\cos20\theta)}{2}d\theta\)

A = \(\frac{1}{4}\int^{\pi/10}_{0}(1-\cos20\theta)d\theta\)

A = \(\frac{1}{4}\left[(\theta-\frac{1}{20}\sin20\theta)\right]^{\pi/10}_{0}\)

A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin20\frac{\pi}{10})-(0-\frac{1}{20}\sin20\cdot0)\right]\)

A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin2\pi)-(0-\sin0)\right]\)

A = 1/4[(π/10-0)-(0-0)]

A = 1/4(π/10)

A = π/40

Hence, the area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

To learn more about area of enclosed curve link is here

brainly.com/question/29062159

#SPJ4

Answer:

Slope:  

1 /2

y-intercept:  

9

Step-by-step explanation:

Slope:  

1 /2

y-intercept:  

9

The main difference between the denominator of the F-ratio (the error term) for a repeated-measures ANOVA and an independent-measures ANOVA lies in the way variability is accounted for within the groups.

In a repeated-measures ANOVA, the same participants are exposed to multiple conditions or measured at different time points. Therefore, this design accounts for individual differences, leading to a smaller error term in the denominator of the F-ratio.

The error term in repeated-measures ANOVA represents the variability due to individual differences and the residual error, but not the variability between participants. In contrast, an independent-measures ANOVA involves separate groups of participants for each condition, meaning that variability between participants is included in the error term.

As a result, the error term for the independent-measures ANOVA is larger than that of the repeated-measures ANOVA. This difference in the denominator of the F-ratio affects the sensitivity of the statistical test, with the repeated-measures ANOVA being more sensitive due to its smaller error term.

In summary, the denominator of the F-ratio (the error term) differs for a repeated-measures ANOVA compared to an independent-measures ANOVA in terms of the variability accounted for within groups. The repeated-measures ANOVA error term is smaller, as it controls for individual differences, while the independent-measures ANOVA error term is larger because it includes variability between participants.

Know more about  F-ratio   here:

https://brainly.com/question/31827066

#SPJ11

Answer:

32 minutes.

Step-by-step explanation:

third place took 34 minutes.

second place took 33 minutes.

first place took 32 minutes.

Answer:

Step-by-step explanation:

Formula for perimeter of a rectangle = 2l +2w

where L= length ,w= width /breadth

Now;

with the question the length and width is unknown but the width is 12cm less than the length so;

width =( L -12cm )

Also the length is not given so remains L

Using the formula

2l + 2w

= 2l + 2( l- 12cm )

This must be equated to the perimeter

So;

2l + 2(l- 12cm ) = 156

2l + 2l -24cm = 156

4l = 156 +24

4l = 180

l = 45cm

therefore the length is 45cm

The width can be gotten by using the guideline provided which is, (L -12cm)

placing L which is already known

= (45-12)

= 33cm

therefore the width is 33cm

The graph of the given equation is plotted below.

The given equation is y=2/7 x.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

Graph the line using the slope and y-intercept, or two points.

Slope: 2/7

y-intercept: (0, 0)

Plot the points (0, 0) and (7, 2) on the graph

Hence, the graph of the given equation is plotted below.

To learn more about the graph visit:

brainly.com/question/14375099.

#SPJ2

To find the price at which the designer will sell the maximum number of shirts, we need to determine the vertex of the quadratic function representing the number of shirts sold.

The equation for the number of shirts sold is given by:

S = -4x^2 + 80x - 76

This is a quadratic function in the form of:

S = ax^2 + bx + c

To find the price at which the maximum number of shirts is sold, we need to locate the vertex of the quadratic function. The x-coordinate of the vertex can be found using the formula:

x = -b / (2a)

In this case, a = -4 and b = 80. Plugging in these values, we can calculate the x-coordinate:

x = -80 / (2*(-4))

x = -80 / (-8)

x = 10

Therefore, the designer will sell the maximum number of shirts at a price of $10. Hence, the correct option is c) $10.

Answer:

See below.

Step-by-step explanation:

Plug in each value for  x .

\(x=3 \Rightarrow 600\cdot 3^3 = 600\cdot 27=16200\\\\x=0\Rightarrow 600\cdot 3^0=600\cdot 1 = 600\\\\x=2\Rightarrow 600 \cdot 3^2=600\cdot 9 =5400\)

Answer:

16 yellow flowers

Step-by-step explanation:

\(Pink: yellow\\6\:\::\:2\\\\Total\:ratio = 6+2 = 8\\\\48 \:pink\: flowers\)

First calculate total no of flowers

\(\frac{6}{8} \times x = 48\\\\\frac{6x}{8} =48\\\\Cross\:Multiply\\6x = 48\times 8\\6x = 384\\\\Divide\:both\:sides\:of\:the\:equation\:by\:6\\\frac{6x}{6} = \frac{384}{6} \\\\x = 64\\\\Total \:flowers = 64\)

Calculate no of yellow flowers

\(Total\:flowers-Pink\:flowers = Yellow\:flowers\\\\Yellow\:flowers = 64 - 48\\Yellow\:flowers =16\)

Answer:

The fractions equivalent to 1/4 are 2/8, 3/12, 4/16, etc.

Step-by-step explanation:

16 ounces = 1.12 dollars

16/16 ounces = 1.12/16 dollars .... divide both sides by 16

1 ounce = 0.07 dollars

1 ounce = 7 cents

Answer:

9

Step-by-step explanation:

.9 is bigger than 5 so we can round 8 up to 9

Answer:

The answer is 5⁴/3¹⁰

Step-by-step explanation:

(5‐².3⁵)‐²

(5‐²×3⁵)‐²

(5)‐²*‐²×(3)⁵*‐²

5⁴×3‐¹⁰

5⁴

---

3¹⁰

Answer:

Tilt your head back and allow your mouth to hang open widely.

Contract the back of the throat and breathe deeply through your mouth.

Inhale and exhale completely while relaxing the shoulders.

When the yawn comes “reach and extend into it” to stretch the jaw muscles.

Step-by-step explanation:

Answer:

10 weeks, Substituion Equation.

Step-by-step explanation:

(Assume that x= 'per week').

We can write this as 50 + 25x=y for Heather's savings, &

                               200 + 10x=y for Alssa's savings.

We can combine these equations to make 200 +10x= 50+25x, because we know 50+25x=y, like we found out in the first equation. We can now subtract 25x from each side, and subtarct 200 from each side, to get

10x - 25x = 50 - 200, which can be simplified to -15x=-150. If we divided each side by -15, we get 10. Therefore, it will take 10 weeks for them to have the same amount of money. I think this is the Substituaion Equation

The given expression is:
5m^2 + 9n^3 - mn^2 + 2m^3

This expression is a polynomial. The correct answer is option c.

It consists of four terms:

5m^2: This term is a monomial with a coefficient of 5 and a single variable, m, raised to the power of 2.

9n^3: This term is a monomial with a coefficient of 9 and a single variable, n, raised to the power of 3.

-mn^2: This term is a monomial with a coefficient of -1 and two variables, m raised to the power of 1 and n raised to the power of 2.

2m^3: This term is a monomial with a coefficient of 2 and a single variable, m, raised to the power of 3.

Therefore, The expression 5m^2 + 9n^3 - mn^2 + 2m^3 is a ploynomial. which is option c

For more such questions on polynomial, click on:

https://brainly.com/question/1496352

#SPJ11

The probable question may be:

What is 5m^2+9n^3-mn^2+2m^3

choose the correct answer

a) monomial

b) binomial

c) polynomial

The translation rule is (x, y) → (x + (-2) , y + 4)

We have,

From the figure,

We see the coordinates of Figure I.

(4, -5), (2, 1), and (-3, -3) _____(1)

We see that the coordinates of Figure Ii.

(2, -1), (0, 5), and (-5, 1) _____(2)

Now,

From (1) and (2),

Taking the corresponding coordinates.

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

(2, 1) and (0, 5)

(-3, -3) and (-5, 1)

We see that,

x coordinates is substrated by 2 and y coordinate is added by 4.

So,

The translation rule is (x, y) → (x + (-2) , y + 4)

Thus,

The translation rule is (x, y) → (x + (-2) , y + 4)

Learn more about translation here:

https://brainly.com/question/12463306

#SPJ1

Answer: \(6x^3-28x^2+30x\)

Step-by-step explanation:

\(2x\left(x-3\right)\left(3x-5\right)\)

\(=2x\left(3x^2-14x+15\right)\)

\(=2x\cdot \:3x^2+2x\left(-14x\right)+2x\cdot \:15\)

\(=6x^3-28x^2+30x\)

Answer:

I think the answer is D. A variable of interest. I'm so sorry if I'm wrong.

Answer:

92

92

92

Step-by-step explanation:

It's the answer

Hope it's help you

Answer:

X=6. NBS=110

Step-by-step explanation:

12x+38=17x+8

Having a rectangular pasture for the animals to graze in is something a farmer wants in order to start growing cows, horses, goats, and sheep. She has decided to purchase 7500 ft of fencing. 1875 square feet is the maximum possible area that each of the four pens will enclose.

The maximum possible area of each pen is 1875 square feet. To calculate this, first calculate the total area of the large rectangle that the farmer is enclosing. To do this, multiply the total length of the fencing (7500 feet) by the width of the fence (1 foot). This gives us 7500 square feet as the area of the large rectangle.

Next, divide the area of the large rectangle by 4 to get the area of each pen. This gives us 1875 square feet as the maximum area of each pen.

Total Area of Large Rectangle = 7500 ft x 1 ft = 7500 sq ft

Area of Each Pen = 7500 sq ft / 4 = 1875 sq ft

Learn more about area here

https://brainly.com/question/27683633

#SPJ4