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3 years ago

15

Sarah bought 6 ounces of cookies at the supermarket. She realized that she bought way too many cookies so she gave 2 1/4 ounces

of cookies to her mom and 3/5 ounces of cookies to her dad. How many ounces of cookies did Sarah have left after she gave some to her mom and dad?

1 answer:

Hitman42 [59]3 years ago

8 0

Answer:

a lot of ounces

Step-by-step explanation:

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Which model represents 0.30 + 0.03? <br> A)a <br> B)b <br> C)c <br> D)d

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The model that represents 0.30+0.03 is A.

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How to do graphs of quadratic functions

Anastaziya [24]

Answer:

The Graph of a Quadratic Function

A quadratic function is a polynomial function of degree 2 which can be written in the general form.

Step-by-step explanation:

Example: Graph: f(x)=−x2−2x+3.

Solution:

Step 1: Determine the y-intercept. To do this, set x=0 and find f(0).

f(x)f(0)===−x2−2x+3−(0)2−2(0)+33

The y-intercept is (0,3).

Step 2: Determine the x-intercepts if any. To do this, set f(x)=0 and solve for x.

f(x)000x+3x======−x2−2x+3−x2−2x+3x2+2x−3(x+3)(x−1)0−3orx−1x==Set f(x)=0.Multiply both sides by −1.Factor.Set each factor equal to zero.01

Here where f(x)=0, we obtain two solutions. Hence, there are two x-intercepts, (−3,0) and (1,0).

Step 3: Determine the vertex. One way to do this is to first use x=−b2a to find the x-value of the vertex and then substitute this value in the function to find the corresponding y-value. In this example, a=−1 and b=−2.

x====−b2a−(−2)2(−1)2−2−1

Substitute −1 into the original function to find the corresponding y-value.

f(x)f(−1)====−x2−2x+3−(−1)2−2(−1)+3−1+2+34

The vertex is (−1,4).

Step 4: Determine extra points so that we have at least five points to plot. Ensure a good sampling on either side of the line of symmetry. In this example, one other point will suffice. Choose x=−2 and find the corresponding y-value.

x −2 y 3f(−2)=−(−2)2−2(−2)+3=−4+4+3=3Point(−2,3)

Our fifth point is (−2,3).

Step 5: Plot the points and sketch the graph. To recap, the points that we have found are

y−intercept:x−intercepts:Vertex:Extra point:(0,3)(−3,0) and (1,0)(−1,4)(−2,3)

Answer:

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3 years ago

How would I find a? What formula would I use?

xenn [34]

Answer:

You can use either of the following to find "a":

Pythagorean theorem
Law of Cosines

Step-by-step explanation:

It looks like you have an isosceles trapezoid with one base 12.6 ft and a height of 15 ft.

I find it reasonably convenient to find the length of x using the sine of the 70° angle:

x = (15 ft)/sin(70°)

x ≈ 15.96 ft

That is not what you asked, but this value is sufficiently different from what is marked on your diagram, that I thought it might be helpful.

__

Consider the diagram below. The relation between DE and AE can be written as ...

DE/AE = tan(70°)

AE = DE/tan(70°) = DE·tan(20°)

AE = 15·tan(20°) ≈ 5.459554

Then the length EC is ...

EC = AC - AE

EC = 6.3 - DE·tan(20°) ≈ 0.840446

Now, we can find DC using the Pythagorean theorem:

DC² = DE² + EC²

DC = √(15² +0.840446²) ≈ 15.023527

a ≈ 15.02 ft

_____

You can also make use of the Law of Cosines and the lengths x=AD and AC to find "a". (Do not round intermediate values from calculations.)

DC² = AD² + AC² - 2·AD·AC·cos(A)

a² = x² +6.3² -2·6.3x·cos(70°) ≈ 225.70635

a = √225.70635 ≈ 15.0235 . . . feet

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3 years ago

An aquarium 5 ft long, 3 ft wide, and 5 ft deep is full of water. (Recall that the weight density of water is 62.5 lb/ft3.) (a)

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Answer:

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b) hydrostatic force at bottom = 150815.625 lb-ft/s2

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Step-by-step explanation:

Detailed explanation and calculation is shown in the image below

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