The Burger Joint expects to serve 250 hamburgers on Saturday evening. Each hamburger weighs 6
ounces before it is cooked. The chef orders ground beef in bulk by the pound from Outwest Meats,
ready to be formed into hamburger patties by the kitchen staff. How much ground beef will the chef
need to order to prepare for Saturday?

Answer:

To describe the shape of a cubic function, we need to consider its end behavior, any turning points it has, and any intervals over which it is increasing or decreasing.

For the cubic function 32. y = 3x³ - x - 3, the leading coefficient is 3, which means that the end behavior of the function will be determined by the sign of the term x³. Since the coefficient of x³ is positive, the function will approach positive infinity as x approaches positive infinity and negative infinity as x approaches negative infinity. This means that the graph of the function will curve upwards at both ends.

To find the turning points of the function, we can find the zeros (or roots) of the function. In this case, we can solve the equation 3x³ - x - 3 = 0 using the cubic formula or a numerical method. This will give us three real roots, which correspond to the x-values of the turning points of the function. The function will be concave upwards at the points between these roots and concave downwards at the points between the roots and the ends of the graph.

The function will be increasing on the intervals between the roots where the function is concave upwards and decreasing on the intervals between the roots where the function is concave downwards.

For the cubic function 33. y = -9x³ - 2x² + 5x + 3, the leading coefficient is -9, which means that the end behavior of the function will be determined by the sign of the term -9x³. Since the coefficient of x³ is negative, the function will approach negative infinity as x approaches positive infinity and positive infinity as x approaches negative infinity. This means that the graph of the function will curve downwards at both ends.

As with the previous function, we can find the zeros (or roots) of the function by solving the equation -9x³ - 2x² + 5x + 3 = 0 using the cubic formula or a numerical method. This will give us three real roots, which correspond to the x-values of the turning points of the function. The function will be concave upwards at the points between these roots and concave downwards at the points between the roots and the ends of the graph.

The function will be decreasing on the intervals between the roots where the function is concave upwards and increasing on the intervals between the roots where the function is concave downwards.

Step-by-step explanation:

Answer:

70 degrees

Step-by-step explanation:

180-120=60

180-(60+50)=70

Combining like terms yields 7x⁵ - x³ - x² + 4x.

the difference of elevation between a and b.Let AB = x, tan 36 = x/111.356 ,x = 111.356 tan 36= 64.39 m and Difference in elevation = 64.39m

We are given that two ridges B and C form a valley with a point A at the bottom part with an elevation difference of 111.356m between the ridges and and angle of elevation of 36 degrees at point A. To find the difference of elevation between A and B, we use the formula of tangent which is tan θ = Opposite/Adjacent. We substitute the values and solve for x, which is the elevation difference between A and B. So the difference in elevation between A and B is 64.39m.

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Answer:

1. d<=200

2. f>=35

Step-by-step explanation:

Answer:

d ≤ 200

f  ≥ 35

Step-by-step explanation:

"no more than 200 " means it can be equal to or less than 200. Therefore, we would use the "less than or equal to" sign, or "≤". We would put 200 at the end as it is no more than 200 feet, so 200 is the max.

"at least 35" means it is equal to or more than 35. Therefore, we would use the "greater than or equal to sign" or "≥". Since it is talking about 35 miles, we put the 35 at the end with the sign pointing away from it since 35 is the lesser number.

Remember, the "mouth" or opening of the equality sign always points to the greater or bigger number. You can think of it as an alligator wanting to eat the bigger number.

Hope this helps! :)

The factory must produce 6,400 parts  so that there is 1 ton of scrap aluminum for recycling.

It is given that For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton we need to find how many parts must the factory produce so that there is 1 ton of scrap aluminum for recycling

What is a Ratio?

A quantitative relation between two amounts showing the number of times one value contains in another

1 part produced  ⇒ 5 ounces scrap aluminium recycled.

So, the ratio of parts produced : Scrap of aluminium = 1   : 5  .... (a)

Let us assume for m parts produced ,  1 ton of scrap is recycled.

Also, 1 ton = 2, 000 pounds

and 1 pound = 16 ounces

⇒ 1 ton = 2000 x (16 ounces)  = 32,000 ounces

So, for m parts made in the  factory, 32,000 ounces scrap is recycled.

So, the ratio of parts produced : Scrap of aluminium =  m   : 32,000  .... (b)

From both the given ratio, we get

1   : 5  = m   : 32,000

m=32000/5

m=6400

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Answer:

The interest rate = 1.68%

Step-by-step explanation:

Sue invests £9000 in an account for one year.

She pays £30.24 at a rate of 20%

So 20% of the interest =£ 30.24

Let the interest be x

X0.2= 30.24

X=£ 151.2

The total interest was£ 151.2

The rate R at which generated this interest

R = (100*151.2)/(1*9000)

R= 15120/9000

R= 1.68%

The interest rate = 1.68%

Answer:

below

Step-by-step explanation:

[ 2.13 * 13   +  2.34 * 12  +  3.00 * 17 ] / ( 13 + 12 + 17) = 2.54 GPA

Answer:

7.65 ft apart (to nearest hundredth)

Step-by-step explanation:

The A frame creates an isosceles triangle with equal legs of 10 ft and a vertex of 45°.  To find how far apart the footings should be, we need to find the base of the triangle.

To find the base, use the cosine rule:

\(c^2=a^2+b^2-2ab \cos(C)\)

where:

So for this triangle:

Substitute these values into the formula and solve for c:

\(c^2=10^2+10^2-2(10)(10) \cos(45)\)

\(\implies c^2=200-200\cos(45)\)

\(\implies c=\sqrt{200-200\cos(45)}\)

\(\implies c=7.653668647...\)

Therefore, the footings should be 7.65 ft apart (to nearest hundredth)

Answer:

  7.65 ft

Step-by-step explanation:

The distance can be figured using the Law of Cosines, or it can be figured by considering half of the isosceles A-frame to be a right triangle. We choose the latter.

__

An altitude of the A-frame bisects the vertex angle so that the angle of interest in our right triangle is 22.5°. Then half the distance between the footings will be given by ...

  Sin = Opposite/Hypotenuse

  Opposite = Hypotenuse × Sin

  half-distance = (10 ft)·sin(22.5°)

  footing spacing = 2 × half-distance = (20 ft)sin(22.5°) ≈ 7.654 ft

The footings for each A-frame should be about 7.65 feet apart.

Answer:

a = 4

Step-by-step explanation:

5a - 15 + 9a = 3a + 29

14a - 15 = 3a + 29

11a - 15 = 29

11a = 44

a = 4

Answer:

a = 38⁰

b = 54⁰

c = 54⁰

Step-by-step explanation:

a + 142⁰ = 180⁰ because a straight line = 180⁰

b + 38⁰ + 88⁰ = 180⁰ because the angles of a triangle equal 180⁰, and the missing measurement = 38⁰ because it is a vertical angle to angle a

c + 88⁰ = 142⁰ because the angles are corresponding angles

Answer:

11 students

Step-by-step explanation:

Let G be the percentage that likes getting wet and D be the percentage who do not like.

Let Dn be number of students who do not like to get.

Given the following data;

Percentage of students that likes getting wet, G = 56%

Total number of students = 25

To find the number of students who doesn't like getting wet;

G + D = 100

56 + D = 100

D = 100 - 56

D = 44%

Dn = 44/100 * 25

Dn = 1100/100

Dn = 11

Method II.

Number of students that like to get wet = 56/100 * 25

= 1400/100

= 14 students.

Therefore, number of students who do not like to get is;

25 - 14 = 11 students.

Answer:

75%

Step-by-step explanation:

Answer:

Step-by-step explanation:

potw

The total surface area of the figure will be 1968.85 square meters.

To determine  the surface area of the figure, we need to find the area of each face and then add them together.

Surface Area of the rectangular prism = 2(lb + bh + hl)

= 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14)

= 2(152 + 133 + 224) = 2(509)

= 1018 m²

Next, we need to find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:

Surface Area of the triangular prism;

= (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14)

= (154 + 350.35 + 445.5)

= 950.85 m²

Therefore, the total surface area of the figure will be;

Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism

= 1018 m² + 950.85 m²

= 1968.85 m²

So, the surface area of the figure is 1968.85 square meters.

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Complete question :

Put these fraction in order of size smallest to largest : 7/10, 2/3, 4/5, 11/15

Answer:

2/3, 7/10, 11/ 15, 4 /5

Step-by-step explanation:

In other to make solving the question easier, we can convert the fractions to decimal in other to make comparison easier :

7/10 = 0.7

2/3 = 0.667

4 /5 = 0.8

11 /15 = 0.733

Using the placement or how the numbers will appear to the right of a number line ;

0.667, 0.7, 0.733, 0.8

Thus we have :

2/3, 7/10, 11/ 15, 4 /5

Hello!

What is a slope-intercept line:

 \(y = mx + b\)

            \(slope = \dfrac{y_2-y_1}{x_2-x_1} =\frac{-4--2}{3-0} =-\dfrac{2}{3}\)

           ==> value of y-intercept is '-2'

Thus the equation is \(y=-\dfrac{2}{3}x-2\)

Hope that helps!

Answer: y=-2/3x-2

Step-by-step explanation:

1) Draw a triangle from one point to the next point.

For this example, I will use (-3,0) and (0,-2).

You can see that the number goes down 2 and right 3. From this, you can conclude that the rate is -2/3 using the equation rise/run.

2) Find the y-intercept

Looking at the graph, you can find that the y-intercept is (0,-2).

3) Fill in the y=mx+b

y=-2/3x-2

9514 1404 393

Answer:

  678

Step-by-step explanation:

The sequence has a first term of 12 and a common difference of 21-12 = 9. The explicit formula for the n-th term is ...

  an = a1 +d(n -1)

For a1 = 12 and d = 9, this is ...

  an = 12 + 9(n -1)

Using 75 for the value of n, we have ...

  a75 = 12 + 9(75 -1) = 12 + 666 = 678

The 75th term is 678.

The solution to the inequality expression is n < -9

The inequality expression is given as

4n - 6(n + 1) > 12

Open the bracket in the above inequality expression

4n - 6n - 6 > 12

Evaluate the like terms

-2n > 18

Divide both sides by -2

n < -9

Hence, the solution to the inequality expression is n < -9

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The quadratic function f(x) =\(3(x+3)^2 - 7\) has a minimum at x = -1, and the minimum value is 5.

To determine whether the quadratic function f(x) =\(3(x+3)^2 - 7\)has a minimum or maximum, we can examine the coefficient of the x^2 term, which is positive (3 in this case).

When the coefficient of the x^2 term is positive, the parabola opens upward, indicating that the function has a minimum value. The vertex of the parabola represents the minimum point.

Now let's find the coordinates of the vertex, which will give us the minimum value of the function.

The general form of a quadratic function is f(x) =\(ax^2 + bx + c\), where the vertex can be found using the formula:

x = -b / (2a)

In our case, a = 3 and b = 3*2 = 6 (from (x+3)^2).

Substituting the values into the formula, we have:

x = -6 / (2 * 3)

x = -6 / 6

x = -1

To find the y-coordinate of the vertex, we substitute the x-value (-1) into the function:

\(f(-1) = 3((-1)+3)^2 - 7\)

\(f(-1) = 3(2)^2 - 7\)

f(-1) = 3(4) - 7

f(-1) = 12 - 7

f(-1) = 5

The graph of this function will have a downward-opening parabola, and the vertex will be the lowest point on the curve.

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Answer:

Each student must raise $14.90

Step-by-step explanation:

This is actually fairly easy to figure out (at least this part) all you do is 447/30 and then you get your 14.9 (14.90)

m = 14.90

30m = 447

Answer:

Let's calculate the "cups of sugar per dozen cookies" ratio:

2 cups

---------- = 0.8  (Rina)        

  2.5                                  

2.25 cups

------------- = 0.75 (Jonah)

     3

Rina uses more sugar for a dozen cookies.

Answer:

x=

​791435

​

​84

​​ ,

​791435

​

​12TD

​​  

Step-by-step explanation:

1 Simplify  425x\times 9311425x×9311  to  3957175x3957175x.

3957175x=420,6TD\times 103957175x=420,6TD×10

2 Simplify  6TD\times 106TD×10  to  60TD60TD.

3957175x=420,60TD3957175x=420,60TD

3 Break down the problem into these 2 equations.

3957175x=4203957175x=420

3957175x=60TD3957175x=60TD

4 Solve the 1st equation: 3957175x=4203957175x=420.

x=\frac{84}{791435}x=

​791435

​

​84

​​  

5 Solve the 2nd equation: 3957175x=60TD3957175x=60TD.

x=\frac{12TD}{791435}x=

​791435

​

​12TD

​​  

6 Collect all solutions.

x=\frac{84}{791435},\frac{12TD}{791435}x=

​791435

​

​84

​​ ,

​791435

​

​12TD

​​  

Answer:

domain: {−12,−8,0,1}

range: {0,8,12}

The domain and range of the relation given in the table are:

The domain: {-12, -8, 0, 1}

And range: {0, 8, 12}

The collection of all conceivable independent values that a function or relation may take is known as its domain.

We have the relation,

x → y

-12 →  0

-8 → 12

0 →  0

1 →  8.

The range of the relation: All achievable values.

So, the domain: {-12, -8, 0, 1}

And range: {0, 8, 12}

Therefore, range and domain is given below.

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Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

imma call it leaf lol im not good with Pokémon

Answer:

Charmander

Step-by-step explanation:

Answer:

Explanation:

We'll use the below compound interest formula to solve the given question;

where A = future amount

P = principal or starting amount = $700

r = annual interest rate in decimal = 2% = 0.02

n = number of compounding periods = 4

t = time in years = 3

Let's go ahead and substitute the given values into the formula and solve for A as seen below;

S

White ball = 4

Black ball = 3

Red ball = 5

Total possible outcome = 4 + 3 + 5 = 12

Desire outcomes is a white ball, hence, the number of desire outcomes = 4

Final answer

Number of desire outcomes = 4

Since it has no impact on the result or solution of the problem, assuming that a > d does not reduce the generality of the statement. If a > d, the issue can be solved by simply swapping the values of a and d.

It makes no difference to the problem whether an is more or less than d because we are presuming that each integer is distinct. Furthermore, by supposing that a > d, the problem's variables can be arranged consistently, making it simpler to comprehend and resolve. As a result, making the assumption that a > d does not reduce the generality of the solution because the problem remains the same and the assumption may be readily changed if necessary.

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