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Fofino [41]
3 years ago
9

Order these numbers from least to greatest: 2, -5, 10, ¾ , -½ , .25

Mathematics
1 answer:
yan [13]3 years ago
7 0

Answer: -5 -1/2 .25 3/4 2 10

Step-by-step explanation:

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A church group ordered a total of 22 drinks and burgers.each drink cost $2.50 and each burger cost $6.25 if the group spent a to
stepan [7]
14.8 or round up to 15 burgers
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3 years ago
A triangle has sides measuring 1.5 m, 2 m and 2.5 m. Show that this is a right-angled triangle.​
Nady [450]

Answer:

Yes, this is a right triangle

Step-by-step explanation:

Plug the values into the pythagorean thm.

1.5^2 + 2^2 = 2.5^2

2.25+4=6.25

6.25=6.25

7 0
3 years ago
The function T(n) is defined below. Which of the following are equal to T(8)? Check all that apply. T(n) = 4n - 5
Klio2033 [76]
T(n)=4n-5\\\\T(8)=4\cdot8-5=32-5=27\\\\T(5)+T(3)=4\cdot5-5+4\cdot3-5=20-5+12-5=22\neqT(8)\\\\T(7)+4=4\cdot7-5+4=28-5+4=27\\\\Answer:\\B.\ 27\\D.\ T(7)+4
3 0
3 years ago
Evaluate Dx / ^ 9-8x - x2^
Solnce55 [7]
It depends on what you mean by the delimiting carats "^"...

Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for \sqrt x.

In that case, you want to find the antiderivative,

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}

Complete the square in the denominator:

9-8x-x^2=25-(16+8x+x^2)=5^2-(x+4)^2

Now substitute x+4=5\sin y, so that \mathrm dx=5\cos y\,\mathrm dy. Then

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\int\frac{5\cos y}{\sqrt{5^2-(5\sin y)^2}}\,\mathrm dy

which simplifies to

\displaystyle\int\frac{5\cos 
y}{5\sqrt{1-\sin^2y}}\,\mathrm dy=\int\frac{\cos y}{\sqrt{\cos^2y}}\,\mathrm dy

Now, recall that \sqrt{x^2}=|x|. But we want the substitution we made to be reversible, so that

x+4=5\sin y\iff y=\sin^{-1}\left(\dfrac{x+4}5\right)

which implies that -\dfrac\pi2\le y\le\dfrac\pi2. (This is the range of the inverse sine function.)

Under these conditions, we have \cos y\ge0, which lets us reduce \sqrt{\cos^2y}=|\cos y|=\cos y. Finally,

\displaystyle\int\frac{\cos y}{\cos y}\,\mathrm dy=\int\mathrm dy=y+C

and back-substituting to get this in terms of x yields

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\sin^{-1}\left(\frac{x+4}5\right)+C
4 0
3 years ago
Solve for n.<br><br> –2(n + 2) + 6 = 8<br><br> n =
Sphinxa [80]

Answer:

<h2>n = <u>-3</u></h2>

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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