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4 years ago

A classroom is 26ft wide, 32ft long, and 9ftt high. what is the volume of the room in cubic feet?

Mathematics

2 answers:

Tasya [4]4 years ago

4 0

Answer:

Volume =7488ft³

Step-by-step explanation:

Volume =l*b*h

= (26*32*9)ft

= 7488 ft³

julsineya [31]4 years ago

3 0

Answer:

7488 ft^3

Step-by-step explanation:

26x32x9 = 7488 cubic ft

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How do you determine where f(x)=cos^(-1)(lnx) is continuous?

olga nikolaevna [1]

$\ln x$ is continuous over its domain, all real $x>0$ .

Meanwhile, $\cos^{-1}y$ is defined for real $-1\le y\le1$ .

If $y=\ln x$ , then we have $-1\le \ln x\le1\implies \dfrac1e\le x\le e$ as the domain of $\cos^{-1}(\ln x)$ .

We know that if $f$ and $g$ are continuous functions, then so is the composite function $f\circ g$ .

Both $\cos^{-1}y$ and $\ln x$ are continuous on their domains (excluding the endpoints in the case of $\cos^{-1}y$ ), which means $\cos^{-1}(\ln x)$ is continuous over $\dfrac1e$ .

7 0

3 years ago

A 263 kg motorcycle moves with a velocity of 5 m/s. What is its kinetic energy? ______ joules

Andreyy89

$K.E= \frac{1}{2} mv^2$

K.E= Kinetic Engery
M=Mass
V=Velocity
m=263kg
v=5m/s

Plug the given info into the formula:
$K.E= \frac{1}{2} (263)(5)^2$

Final answer: <span>3287.5J </span>

7 0

3 years ago

A student is conducting a probability experiment and wants to know the total number of outcomes for the experiment. The student'

MissTica

Answer:So to get a 6 when rolling a six-sided die, probability = 1 ÷ 6 = 0.167, or 16.7 percent chance. So to get two 6s when rolling two dice, probability = 1/6 × 1/6 = 1/36 = 1 ÷ 36 = 0.0278, or 2.78 percent.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

If 2/5 of the macaroni and cheese provides 16 pieces to the table,how many pieces were in the pan when it was full? Support you

astra-53 [7]

Bearing in mind that a whole will be 5/5, so the full pan is 5/5.

$\bf \begin{array}{ccll}
macaroni&pieces\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{2}{5}&16\\\\
\frac{5}{5}&p
\end{array}\implies \cfrac{\quad\frac{2}{5} \quad }{\frac{5}{5}}=\cfrac{16}{p}\implies \cfrac{2}{5}\cdot \cfrac{5}{5}=\cfrac{16}{p}
\\\\\\
\cfrac{2}{5}=\cfrac{16}{p}\implies 2p=80\implies p=\cfrac{80}{2}\implies p=40$

8 0

3 years ago

-2+4(-x+4)=10 using distributive property and collecting like terms

stich3 [128]

Answer:

Step-by-step explanation:

$-2+4(-x+4)=10\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\-2+(4)(-x)+(4)(4)=10\\\\-2-4x+16=10\qquad\text{combine like terms}\\\\-4x+(-2+16)=10\\\\-4x+14=10\qquad\text{subtract 14 from both sides}\\\\-4x+14-14=10-14\\\\-4x=-4\qquad\text{divide both sides by (-4)}\\\\\dfrac{-4x}{-4}=\dfrac{-4}{-4}\\\\x=1$

4 0

3 years ago