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4 years ago

The bulletin board is 6 feet wide and 4 feet tall. The border is 3 inches wide. What are the dimensions inside the border?

1 answer:

6 0

Because the boarder goes around all edges, 6 in must be subtracted from 6ft and 4ft.
6ft - 6in = 5.5 ft
4ft - 6in = 3.5 ft
Area of the bulletin board: (5.5)(3.5) = 19.25 ft

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Riya got 10 correct answers and ten incorrect answers. what is her score if each correct answer is awarded with 3 marks and each

Natasha2012 [34]

Answer:

Step-by-step explanation:

Riyas score = ( correct answer × mark) + ( incorrect answer × mark lost )

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4 years ago

. The sum of -8 and a number is at least 9 what is the equation look like

MA_775_DIABLO [31]

Answer:

-8 + x ≥ 9

Step-by-step explanation:

Let's look at your sentence:

The <u>sum of -8 and a number</u> is <u>at least 9 </u>what is the equation look like

Sum is the result of adding

At least 9 means that the number is 9 or greater.

So what you have here is an inequality expression:

Sum of -8 and a number

-8 + x

x here is the "number" since we do not know the value we will use "x" to represent that number.

At least 9

At least means that it is equal or greater, so we use this expression ≥

and so we use put that all together

-8 + x ≥ 9

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4 years ago

CALCULUS EXPERT WANTED. Can someone solve this or at least try to explain to me the fundamental theorem of calculus (FTC).

Amanda [17]

a. By the FTC,

$\displaystyle\frac{\mathrm d}{\mathrm dx}\int_1^{\cos x}(t+\sqrt t)\,\mathrm dt=(\cos x+\sqrt{\cos x})\dfrac{\mathrm d}{\mathrm dx}\cos x=-\sin x(\cos x+\sqrt{\cos x})$

b. We can either evaluate the integral directly, or take the integral of the previous result. With the first method, we get

$\displaystyle\int_1^{\cos x}(t+\sqrt t)\,\mathrm dt=\dfrac{t^2}2+\dfrac{2t^{3/2}}3\bigg|_{t=1}^{t=\cos x}=\left(\dfrac{\cos^2x}2+\dfrac{2(\cos x)^{3/2}}3\right)-\left(\dfrac12+\dfrac23\right)$

$=\dfrac{\cos^2x}2+\dfrac{2\sqrt{\cos^3x}}3-\dfrac76$

c. The derivative of the previous result is

$\dfrac{2\cos x(-\sin x)}2+\dfrac{2\cdot\frac32(\cos x)^{1/2}(-\sin x)}3=-\sin x\cos x-\sin x\sqrt{\cos x}$

which is the same as the answer given in part (a), so ...

d. ... yes

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grigory [225]

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