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Ilia_Sergeevich [38]
3 years ago
12

Which phrase could the expression x-4 represent? a number less than 4 the difference of a number and 4 the sum of a number and 4

four less a number
Mathematics
2 answers:
astraxan [27]3 years ago
8 0

Answer:

<h2>The difference of a number and 4.</h2>

Step-by-step explanation:

The sentence that represents better the given expression is <em>"The difference of a number and 4"</em>.

Mainly because states the difference in the right order, first the unknown number, which is called "a number", and in second place the number 4, referring to the difference is the subtract of 4 units from the number, not in the opposite way.

On the other hand, "a number less than 4" specifies that the unknown number is minor than 4, which is not true. "the sum of a number and 4" is completely wrong, because there's no sum at all. "Four less a number" refers to a difference but in the opposite way 4-x.

Therefore, the right answer is

<h3>The difference of a number and 4.</h3>
ioda3 years ago
4 0

Answer:

Four less a number

Step-by-step explanation:

x-4 is literally subtracting 4 and 4 less a number is basically also subtracting 4 from an equation.

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Indefinite integral need help pleaseeeeeee
tatiyna
Integrate indefinite integral:
I=\int\frac{dx}{e^{2x}+3e^x+2}dx

Solution:
1. use substitution u=e^x 
=>
du=e^xdx
=>
dx=\frac{du}{e^x}
=>
dx=\frac{du}{u}
=>
I=\int\frac{du}{u(u^2+3u+2)}du
=\int\frac{du}{u(u+2)(u+1)}du
2. decompose into partial fractions
\frac{1}{u(u+2)(u+1)}
=\frac{A}{u}+\frac{B}{u+2}+\frac{C}{u+1}
where A=1/2, B=1/2, C=-1
=\frac{1}{2u}+\frac{1}{2(u+2)}-\frac{1}{u+1}
3. Substitute partial fractions and continue
I=\int\frac{du}{2u}+\int\frac{du}{2(u+2)}-\int\frac{du}{u+1}
=\frac{log(u)}{2}+\frac{log(u+2)}{2}-log(u+1)}
4. back-substitute u=e^x
=\frac{log(e^x)}{2}+\frac{log(e^x+2)}{2}-log(e^x+1)}
=\frac{x}{2}+\frac{log(e^x+2)}{2}-log(e^x+1)}

Note: log(x) stands for natural log, and NOT log10(x)

7 0
3 years ago
A soccer field is a rectangle 100 meters wide and 130 meters long. The coach asks players to run from one corner to the other co
katrin [286]

Answer:

The answer is 164 meters

Step-by-step explanation:

Distance = Sq of 100 + Sq of 130 = 26,900 = Sq root of 26,900 = 164 meters

3 0
3 years ago
Lynn takes out a loan for $7540 that charges an annual simple interest rate of 6.5%. She does not make any payments for 2 1/2 ye
sp2606 [1]

Answer:

8765.25

Step-by-step explanation:

p=$7540

r=6.5%

t=2.5

simple interest formula= (p*r*t)/100

(7540*6.5*2.5)/100=1225.25

total amount= p+S.I

=7540+1225.25

=8765.25

thankyou^^

7 0
3 years ago
6.018×9 find de estimates
Step2247 [10]
You need to round 6.018 to 6 then multiply it by 9 which results in 54!
5 0
3 years ago
In circle N with m<br> See diagram below
Alex777 [14]

Answer:

113.10

Step-by-step explanation:

The area of a sector with measure \theta and radius r is given by A_{sec}=r^2\pi\cdot \frac{\theta}{360^{\circ}}.

What we're given:

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Substituting given values, we get:

A_{sec}=12^2\pi\cdot \frac{90}{360},\\\\A_{sec}=144\pi\cdot \frac{1}{4},\\\\A_{sec}\approx \boxed{113.10}

8 0
3 years ago
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