Each recipe for lasagna requires half a pound of ricotta cheese. How many recipes of lasagna can be made at a restaurant that has 6 pounds of ricotta, assuming all other ingredients are present

Answer:

A. Line r intersects line p

Step-by-step explanation:

to find the second graph multiply the slope of line p by -10

slope is 1/5 or 0.2

So,

0.2 * -10 = -2

slope of second line is -2

Graph shown

Altered line shown in blue

Line p shown in green

As you can see, they intersect and meet no other answers

Answer:T = 2*Pi / (Pi / 3) = 6 seconds

Step-by-step explanation:

The time (in seconds) that it take the pendulum to complete one full cycle is given by: Option C: 6 (seconds)

Trigonometric functions are periodic. They repeat their values after some specific constant input interval (constant depends on the trigonometric function chosen).

For sine function, its period is 2π

Thus, we get:

[tex]y = \sin(x) = \sin(x+2\pi) = \sin(x + 2\pi n) ; n \in \mathbb Z[/tex] integer, and y is some constant at some constant value of x)

For this case, the pendulum's motion is modeled by:

[tex]P(t) = -10\sin\left(\dfrac{\pi}{3} t\right)[/tex]

Let it takes 'd' seconds to do one full cycle, then we get:

[tex]P(t) = P(t+d) = P(t+2d) = P(t + nd); n \in \mathbb Z - \mathbb Z^{-}[/tex] (n is non-negative integer).

Using the formula, we get:
[tex]-10\sin\left(\dfrac{\pi}{3} t\right) = -10\sin\left(\dfrac{\pi}{3} (t + nd)\right)\\\sin\left(\dfrac{\pi}{3} t\right) =\sin\left(\dfrac{\pi}{3}t + \dfrac{\pi}{3}nd\right)[/tex]

But we know that:

[tex]\sin\left(\dfrac{\pi}{3} t\right) =\sin\left(\dfrac{\pi}{3}t +2\pi n\right)[/tex]

Thus, we get:

[tex]2\pi n = \dfrac{\pi}{3}nd\\[/tex] (compared for non-negative values of n)

This gives:

[tex]d = \dfrac{2\pi n \times 3}{\pi n} = 6[/tex] (in seconds)

Thus, the time (in seconds) that it take the pendulum to complete one full cycle is given by: Option C: 6 (seconds)

Learn more about periodic functions here:

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Answer:

y = 2

Step-by-step explanation:

The way you solve this is you transform it until one side of the equation is just "y"

3y + 2 = 8   ;    subtract 2 from both sides

3y = 6   ;     divide both sides by 3

y = 2

Answer:

(-1, 4)

Step-by-step explanation:

Hope this helps

Answer:

a

Step-by-step explanation:

Step-by-step explanation:

Answer:

A) 3/56 + 27/56 = 30/56 ÷ 2/2 = 15/28

Step-by-step explanation:

So, there's 3/56 cities that have a lake and 27/56 cities that have a river.

Since the question is asking how much have a lake or river, we add them up.

3/56 + 27/56 = 30/56

(Divide by 2 since that's the common factor)

30/56 ÷ 2/2 = 15/28

Answer:

115

Step-by-step explanation:

It looks like 115 degrees

Answer:

115 degrees

Step-by-step explanation:

Answer:

25d > 70

Step-by-step explanation:

Abby wants to ride her bicycle more than 70 miles this week.

More than = >

On Monday, Abby rode her bicycle for 25 miles. Abby plants to ride the same number of miles in the next six days.

Let the number of days of week she would ride her bike = d

On Monday = 25 miles

And the rest of the week = The same = 25 miles

The inequality is written as:

25d > 70

12 books divided by 8 months = 1.5 books per month

hope it helps:))

Answer:30000 just 5000+  six time

Hi there!

Your job, at least on this triangle, is pretty simple. This is a 45-45-90 triangle.

Because this is a 45-45-90 triangle, both legs are 5. That leaves us to find the hypotenuse, x.

And a 45-45-90 triangle's hypotenuse is easy. You just take the measure of one of the legs, or 5 in this case, and stick a [tex]\sqrt{2\\}[/tex] right next to it. So your answer will be:

[tex]5\sqrt{2}[/tex]

I hope this helps! :)

Answer:

B

Step-by-step explanation:

24 miles / 4 hours  = 6 miles per hour

.

and answer B is showing a graph with slope of 6 miles per hour

Answer:

[tex] \sqrt{ {2}^{2} + {6}^{2} } = \sqrt{40 } = 2 \sqrt{10} [/tex]

Answer:

32pi ftsquared or

100.48ft squared (multiplied by 3.14)

Step-by-step explanation:

a = piR^2

Step-by-step explanation:

(x+1) (x+4)

x * x make x^2

1 & 4 when multiplied make 4 and when added make 5

Step-by-step explanation:

the rate of change in A

10-5/4.5-3 .5

=5.

but where is the function B??

just pick two y values and it's corresponding x values

the rate of change is equal to the gradient .

change in y values divided by change in the x values.

Answer:

What image? (9/ -0) Is 9 - 8 =1

Step-by-step explanation:

Answer:

you dont have the image of the graph.

Step-by-step explanation:

Answer:

She can make :

5 3/5 pies

Algebraic equation =

1 1/4 p = (9 - 2)

Step-by-step explanation:

Clara has 9 pounds of apples. If she saves 2 pounds for applesauce, how many pies, p, can she make?

Total number of pounds of apples = 9 pounds

She saves 2 pounds for apple sauce

The number of pounds of apples left =

9 pounds - 2 pounds

= 7 pounds

She needs 1 1/4 pounds to make one apple pie.

Therefore

1 1/4 pounds = 1 apple pie

7 pounds = p

Cross Multiply

1 1/4 × p = 7 × 1

p = 7 ÷ 1 1/4

p = 7 ÷ 5/4

p = 7 × 4/5

p = 28/5

p = 5 3/5 pies

An Algebraic equation for this situation is:

1 1/4 p = (9 - 2)

Where p = Number of pies

Answer:

68.2

Step-by-step explanation:

You can use a^2+b^2=c^2 to find the length of the missing side, where c^2 is the hypotenuse (side 14).

5^2+x^2=14^2

25+x^2=196

x^2=196-25=171

x=13.0 (rounded)

Next, use one of sin or tan to find the missing angle.

Sin0=opposite/hypotenuse

Sin0=13/14

0=sin^-1(13/14)

0=68.213 (rounded)

The value of the angle asked is 69°.

Given is a right triangle, with base = 5 units and the hypotenuse is 14 units,

We need to find the angle θ which is between the base and the hypotenuse,

To find the angle θ between the base and the hypotenuse of a right triangle, we can use the trigonometric function cosine (cos).

The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

In this case, the base of the triangle is the adjacent side, and the hypotenuse is given as 14 units.

Therefore, we can use the following formula:

cos(θ) = adjacent/hypotenuse

Plugging in the values we know:

cos(θ) = 5/14

To find the angle θ, we need to take the inverse cosine (arccos) of both sides:

θ = arccos(5/14)

θ = 69°

Hence the value of the angle asked is 69°.

Learn more about trigonometric function click;

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Answer:

never, never, sometime, sometimes, and always.

Step-by-step explanation:

I'm smart lol

Answer:

2nd and 5th one are correct. Rest of them r wrong

Step-by-step explanation:

Answer:  C. 3

-6v<   x       v>-.5

divide by -6  flips the inequality

v> x/-6

so x/-6 = -.5

multiply by -6 on each side

x = -.5 * -6

x=3

Choice B.... 3

Step-by-step explanation:

Answer:

A) which graph represents the equation x^2 + y^2 = 2.25?

First, the general equation for a circle can be written as:

(x - a)^2 + (y - b)^2 = R^2

This is a circle of radius R centered in the point (a, b).

Then we can rewrite our equation as:

(x - 0)^2 + (y - 0)^2 = (√2.25)^2 = (1.5)^2

Then we have a circle centered at the point (0, 0) and with a radius equal to 1.5

Then we can see that the correct one is graph C.

b) Now we want to solve the system:

x^2 + y^2 = 2.25

y - x = 1

graphically.

To do it we need to graph both equations and see in which points do they intersect.

We already have the first equation graphed, so we only need to also graph the linear equation:

y - x = 1

y = 1 + x

An example of this can be seen in the graph below:

There we can estimate one of the intersections as (0.4, 1.4) and the other as (-1.4, -0.4)

Answer:

see below

Step-by-step explanation:

Our equation is y = 1/2x - 1. This mirrors our standard linear parent function of y = mx + b.

m is the slope and b is the y-intercept.

From this, we can see that

m = 1/2

and

b = -1.

The first point given is the y-intercept because with y-intercepts, we know the coordinates right away. A y-intercept's coordinates will always have an x-value of 0. This allows it to lie on the y-axis, hence the name. Our y-value of the coordinates is given with the b value of the equation. Therefore, by simply looking at the end of the equation, we know our first point.

Hope this helps!

Answer:

9

Step-by-step explanation:

radius is half of the diameter

Answer:

the pitch of the sound

Step-by-step explanation:

because the speed stays the same and the echo has the same variables so i believe it is the pitch

Answer:

y=mx+b

Step-by-step explanation:

the equation would be y= 3/4 + 3

the rise is 3

the run is 4

the line runs through 3 on the y intercept.

Answer:

22

Step-by-step explanation:

double negative is a plus sign

13--9=22

Answer: 22

Step-by-step explanation:

Here, we need to know the concept of changing signs. Under any circumstances, if there is a "-" sign outside of parenthesis, the signs inside need to be the opposite. If you are still not very clear, I can provide some examples below:

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

Given

13 - (-9)

⇒There is a "-" sign outside

⇒We need to convert the sign inside "-" to "+"

⇒13+9

⇒22

Hope this helps!! :)

Please let me know if you have any questions

Answer:

The function is;

f(x) = $3,250

Step-by-step explanation:

The fixed amount the consultant receives each month = $3,250

The number of hours the consultant works each month = x

Let f(x) represent the function of the total amount the consultant receives each month

Therefore;

The function f(x) = The total amount the consultant receives each month = The fixed amount the consultant receives = $3,250

∴ f(x) = $3,250.

The function 'f' which represents the total amount the consultant receives each month is f(x) = $3,250 (Given that the consultant receives a constant amount each month).