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natima [27]
3 years ago
9

Given that ∫51f(x)dx=1,∫53 f(x)dx=3 and ∫61f(x)dx=9 find ∫63 f(x)dx.

Mathematics
1 answer:
ELEN [110]3 years ago
6 0
\displaystyle\int_1^6=\int_1^5+\int_5^6\implies\int_5^6=9-1=8

\displaystyle\int_3^6=\int_3^5+\int_5^6=3+8=11
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Which expression is equivalent to StartRoot 128 x Superscript 8 Baseline y cubed z Superscript 9 Baseline EndRoot? Assume y grea
zepelin [54]

The expression √(128x⁸y³z⁹) is equivalent to the expression 8x⁴yz⁴ √(2yz). Then the correct option is C.

The missing options are given below.

<h3>What is an equivalent expression?</h3>

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

⇒ √(128x⁸y³z⁹)

Then the expression is given below.

⇒ √[(64 × 2)(x⁴)²(y²y)(z⁸z)]

⇒ 8x⁴yz⁴ √(2yz)

Then the correct option is C.

More about the equivalent link is given below.

brainly.com/question/889935

#SPJ1

4 0
2 years ago
11. Charles's Law states that at constant pressure, the volume of a fixed amount of gas varies
Zanzabum

Answer:

a.V=5/6T

b. 350 ml

Step-by-step explanation:

a.

V∝T

or V=kT

where k is a constant.

V=250 ml

T=300° K

250=300 k

k=250/300=5/6

so V=5/6 T

b.

V=5/6 T

=5/6×420

=5×70

=350 ml

6 0
3 years ago
Please Help...........
klasskru [66]
I believe the answer might be:
x = 28/19

Steps:
Expand
3(5 - x)/2 - 4(3 + 2x)/5

-3x + 15 - 8x + 12
------------ -----------
2 5

Find the LCD for the equation above:
(15-3x) * 5 - (12+8x) * 2
------------- --------------
10 10

Now we combine them since the denominators are equal:
5(-3+15) - 2(8x+12)
--------------------------
10

We expand above:
-31x+51
-----------
10
6 0
3 years ago
PLEASE HELP!! URGENT!!!! UNIT TEST!!!!
slavikrds [6]

ANSWER

y=-\frac{4}{3}x+\frac{16}{3}


Or

3y+4x=16


EXPLANATION


Let us find the gradient of the line:

-3x+4y=4 by rewriting it in the slope intercept form.


\Rightarrow 4y=3x+4


We divide through by 4 now;


\Rightarrow y=\frac{3}{4}x+1


This is now in the form;

y=mx+c

where

m=\frac{3}{4} is he slope.


This implies that the slope of the line that is perpendicular to this line will be the negative reciprocal of m=\frac{3}{4} .


Thus the perpendicular line has slope,

m=\frac{-1}{\frac{3}{4}}= -\frac{4}{3}.


Let the perpendicular line have equation,


y=mx+c

When we substitute the slope we have;


y=-\frac{4}{3}x+c

We substitute the point. (4,0) to find c.


0=-\frac{4}{3}(4)+c


0=-\frac{16}{3}+c


\frac{16}{3}=c

We substitute c to obtain;


y=-\frac{4}{3}x+\frac{16}{3}


Or

3y+4x=16

7 0
4 years ago
Read 2 more answers
Evaluate the logarithmic expression log6 1
AlekseyPX

Answer:

Logarithm base  6  of  1  is<u>  0</u>.

3 0
4 years ago
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