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4 years ago

A. -e-7 B. e+7 C. -e+7 D. e-7

Mathematics

1 answer:

Advocard [28]4 years ago

4 0

Answer:

A. -e-7

Step-by-step explanation:

the -() tell you to change whatever equation is inside it to it's negative form.

So the equation turns from +e +7 to -e -7.

So the answer is -e-7. Or so I think...

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Help please ASAP please

GarryVolchara [31]

I can barely read it Pls redo it or type it out

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3 years ago

2 x ⅖<br> what is the answer

BartSMP [9]

4/5 is the sum of the answer. :)

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3 years ago

Integration of (3X(X^2+3)^4) dx<br><img src="https://tex.z-dn.net/?f=%20" id="TexFormula1" title=" " alt=" " align="absmiddle" c

dimaraw [331]

Answer:

Step-by-step explanation:

$\int 3x(x^2+3)^4 \ dx$ .

It is apparently obvious we could expand the bracket and integrate term-by-term. This method would work but is very time consuming (and you could easily make a mistake) so we use a different method: integration by substitution.

Integration by substitution involves swapping the variable $x$ for another variable which depends on x: $u(x)$ . (We are going to choose $u$ for this question).

The very first step is to choose a suitable substitution. That is, an equation $u=f(x)$ which is going to make the integration easier. There is a trick for spotting this however: if an integral contains both a term and it's derivative then use the substitution $u=\text{The Term}$ .

Your integral contains the term $x^2 + 3$ . The derivative is $2x$ and (ignoring the constants) we see $x$ is also in the integral and so the substitution $u=x^2+3$ will unravel this integral!

Step 2: We must now swap the variable of integration from x to u. That means interchanging all the x's in the integrand (the term being integrated) for u's and also swapping (dx" to "du").

$u=x^2+3 \Rightarrow \frac{du}{dx}=2x \Rightarrow dx = \frac{1}{2x} du$

Then,

$\int 3x(x^2+3)^4 \ dx = \int 3x \cdot u^4 \cdot \frac{1}{2x} du = \int \frac{3}{2}u^4\ du$ .

The substitution has made this integral is easy to solve!

$\int \frac{3}{2}u^4\ du= \frac{3}{10}u^5 + C$

Finally we can substitute back to get the answer in terms of x:

$\int 3x(x^2+3)^4 \ dx = \frac{3}{10}(x^2+3)^5+C$

8 0

3 years ago

Fifty percent of households say they would feel secure if they had $50,000 in savings. you randomly select 8 households and ask

Setler [38]

Step-by-step Answer:

"Fifty percent of households say they would feel secure if they had $50,000 in savings." => population mean for satisfaction is 0.50.

N = number of household asked.

x = number of satisfied households.

Use binomial probability,

B(x,N,p) = C(N,x)*(p^x)*(1-p)^(N-x)

For 8 households and 3 questions (a), (b), and (c), we can tabulate all values of x and extract answers from there.

x B(x,8,0.5) cumulative probability

0 0.00390625 0.00390625

1 0.03125 0.03515625

2 0.109375 0.14453125

3 0.21875 0.36328125

4 0.2734375 0.63671875

5 0.21875 0.85546875

6 0.109375 0.96484375

7 0.03125 0.99609375

8 0.00390625 1.0

From the table, we see clearly that

(a) probability P(x=5)=0.2188

(b) probability P(x>5)=1-0.8555=0.1445

Note: All answers above have been rounded to the nearest 4 places of decimals.

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3 years ago

The radius of the large sphere is double the radius of the

valentinak56 [21]

Answer:

Step-by-step explanation:

just do the comparation

Vb : Vs

b for big and s for small

4/3 π rb³ : 4/3 π rs³ (since there are 4/3 and π on both side, we can eliminate them so)

Vb : Vs = rb³ : rs³

Vb : Vs = (2rs)³ : rs³

Vb : Vs = 8rs³ : rs³ (delete the r³ on both side)

Vb : Vs = 8 : 1

so Vb is 8 times larger in volume than the small one

3 0

3 years ago