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Roman55 [17]
3 years ago
14

What is a number 

Mathematics
2 answers:
Anastaziya [24]3 years ago
4 0

Answer:

The number is g\leq -\frac{1}{32}

Step-by-step explanation:

Given : Expression a number g is multiplied by -8 is at least \frac{1}{4}.

To find : What is the number ?

Solution :

g is multiplied by -8 i.e. -8g

At least is \geq

A number g is multiplied by -8 is at least \frac{1}{4}.

-8g\geq \frac{1}{4}

Divide both side by 8,

-\frac{8g}{8}\geq \frac{1}{4\times 8}

-g\geq \frac{1}{32}

Multiply both side by -1,

g\leq -\frac{1}{32}

Therefore, the number is g\leq -\frac{1}{32}

BARSIC [14]3 years ago
3 0
Please rewrite the problem, I can't understand
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Any help with this greatly appreciated.
Anestetic [448]

Put the equation in standard linear form.

x'(t) + \dfrac{x(t)}{t + 5} = 5e^{5t}

Find the integrating factor.

\mu = \exp\left(\displaystyle \int \frac{dt}{t+5}\right) = e^{\ln|t+5|} = t+5

Multiply both sides by \mu.

(t+5) x'(t) + x(t) = 5(t+5)e^{5t}

Now the left side the derivative of a product,

\bigg((t+5) x(t)\bigg)' = 5(t+5)e^{5t}

Integrate both sides.

(t+5) x(t) = \displaystyle 5 \int (t+5) e^{5t} \, dt

On the right side, integrate by parts.

(t+5) x(t) = \dfrac15 (5t+24) e^{5t} + C

Solve for x(t).

\boxed{x(t) = \dfrac{5t+24}{5t+25} e^{5t} + \dfrac C{t+5}}

3 0
2 years ago
Simplify the radical expression by rationalizing the denominat o 3/11
8090 [49]
Do you mean 3/√11 ? In this case, you'll have to multiply both, numerator and denominator by the denominator ... 
5 0
3 years ago
Read 2 more answers
Find the coordinates of the vertices of a triangle after a 90 degree rotation counterclockwise about the origin.
Oksana_A [137]

Step-by-step explanation:

The rule for a 90 degree counterclockwise is

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so

C(-1,2) -> C'(-2,-1)

D(3,5) -> D'(-5,3)

E(1,2) -> E'(-2,1)

7 0
3 years ago
There are 12 students in a homeroom wearing a school t-shirt these students make up 60% of the class how many students are in th
Yuki888 [10]

Answer:

there is a total of 20 students in the class because 60% of 20 is 12

Step-by-step explanation:

pls answer my recent question :(

7 0
3 years ago
The quotient of n and 6
Shalnov [3]

Answer:

The quotient of n and 6 is n/6, as quotient means divide.

for example, if it was "the quotient of 24 and 6", it would be 24/6, which is 4.

5 0
3 years ago
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