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2 years ago

Solve. 0.25=−5+0.75+1.28

Mathematics

1 answer:

tatuchka [14]2 years ago

4 0

Answer:

the question is false

Step-by-step explanation:

0.25=-4.5+1.28 add -4.25 and 1.28 to get -2.97

0.25=-2.97 compare 0.25 and -2.9

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Which function has a range of y<3? y=3(2) y=2(3)* y=-(2)* + 3 y= (2)X-3

Bingel [31]

The function that has a range of y<3 is y=-(2)* + 3

Answer: Option(c)

Step-by-step explanation:

Solution:

Lets shall evaluate the options given in the question

In Option 1; y=3(2) that is

$y=3 \times 2=6$

So the value of y>3 and thus option 1 fails

In option 2; y=2(3)*

This expression indicates that the power of 3 all result in positive values and sometimes zero such that for $2 \times 3^{0}=0$ and for values other than one y will be greater than 3. so option 2 fails.

In option 4; y=2x(-3)

On solving we get $y=2 \times(-3)=-6$

Though it is less than 3 but it has an negative value. So option 4 fails.

In option 3; y=-(2)* + 3

This option indicates for all power values of -2 the y value will be less than 3 such that

For power value 0 we get

$y=-2^{0}+3$

y=0+3=3

And for the power value 1 we get

$y=-2^{1}+3$

y=-2+3=1

So in the both the occasion the value of y<3 than and it is not an negative value and thus option 3 satisfy the functional range y<3.

Result:

Thus the function that has a range of y<3 is y=-(2)* + 3

3 0

3 years ago

Element X decays radioactively with a half life of 13 minutes. If there are 530 grams of Element X, how long, to the nearest ten

Leona [35]

Answer:

$t \approx 50.4\,min$

Step-by-step explanation:

The time constant of the element X is:

$\tau = \frac{13\,min}{\ln 2}$

$\tau = 18.755\,min$

The decay function has the following form:

$\frac{m}{m_{o}} = e^{-\frac{t}{\tau} }$

$t = -\tau \cdot \ln \frac{m}{m_{o}}$

$t = -(13\,min)\cdot \ln \left(\frac{11\,g}{530\,g} \right)$

$t \approx 50.4\,min$

6 0

3 years ago

How to solve (-1,8) and (8,-8)

Volgvan

Step-by-step explanation:

1. If you are trying to find a linear equation from those two points, use the equation y2-y1 over x2-x1. y2-y1 just means the second point's y coordinate minus the first point's y coordinate (same goes for x2-x1).

2. So if you were to plug the coordinates into the equation, it would be: -8-8 over 8-(-1).

3. Solve to get -16/9 because -8-8=-16 and 8-(-1)=9, so -16/9. -16/9 is the slope of the line in the y=mx +b equation.

4. It would be written like y=-16/9x +b

5. Now we need to find b which is the y-intercept. To find this pick one of the points (we'll just do (-1,8)), and plug in the x and y coordinates and solve for b.

8=-16/9(-1) +b
multiply -16/9 by -1 which is 16/9
subtract from both sides for it to be 8-16/9 on the left side which is 6 2/9, and that is b

6. The complete equation is now y=-16/9x + 6 2/9

3 0

3 years ago

2(x-3)=5(x-3)+10 Need urgent help

ArbitrLikvidat [17]

Step-by-step explanation:

2(x-3)=5(x-3)+10

=> 2x - 6 = 5x - 15 + 10

=> -6 + 15 -10 = 5x - 2x

=> 5x -2x = 15 - 6 - 10

=> 3x = 15 - 16

=> 3x = -1

$= > x = \frac{ - 1}{3} (ans)$

4 0

2 years ago

A biologist is studying a bacteria population that initially contains 10^3 bacteria. In the lab, the population doubles every we

iragen [17]

Answer: 8000

Step-by-step explanation:

From the question, we are informed that the expression 10³ × 2^w models the population of the bacteria after w weeks.

The number of bacteria that will be present in 3 weeks will then be:

= 10³ × 2^w

= 10³ × 2³

= 1000 × 8

= 8000 bacterias

4 0

2 years ago