What metric unit should i use to measure the mass of a monkey

Answers

Answer 1

Answer: You should use grams

Answer 2

Answer: grams would be good enough

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The line L is a tangent to the curve with equation y= 4x^2 +1 . The line L cuts the y axis at (0,8) and has a positive gradient. Find the equation of L in the form y = mx + c. $y= 4x^(2) +1$

Answers

Final answer:

To find the equation of a line tangent to the given curve, we need to find the derivative of the curve at the point of tangency and substitute the x-coordinate of the point of tangency to find the slope. The equation of the tangent line with 0 slope and y-intercept of 8 is y = 8.

Explanation:

To find the equation of a line tangent to a curve, we need to find the derivative of the curve at the point of tangency.

The given curve is y = 4x² + 1 (equation 1).

First, find the derivative of equation 1, which gives us dy/dx = 8x (equation 2).

Next, substitute the x-coordinate of the point of tangency into equation 2 to find the slope of the tangent line.

Since the line cuts the y-axis at (0,8), the x-coordinate of the point of tangency is 0.

Substituting x=0 into equation 2, we get the slope of the tangent line as m = 8(0) = 0.

The equation of a line in the form y = mx + c, where m is the slope and c is the y-intercept.

Since the slope of the tangent line is 0, the equation of the tangent line is y = 0x + c. And since the line cuts the y-axis at (0,8), the y-intercept is 8.

Therefore, the equation of the tangent line is y = 8.

Learn more about Equation of a tangent line here:

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A generic point on the graph of the curve has coordinates

$(x, 4x^2+1)$

The derivative gives us the slope of the tangent line at a given point:

$f(x) = 4x^2+1 \implies f'(x) = 8x$

Let k be a generic x-coordinate. The tangent line to the curve at this point will pass through $(k, 4k^2+1)$ and have slope $8k$

So, we can write its equation using the point-slope formula: a line with slope m passing through $(x_0, y_0)$ has equation

$y-y_0 = m(x-x_0)$

In this case, $(x_0, y_0)=(k, 4k^2+1)$ and $m=8k$ , so the equation becomes

$y-4k^2-1 = 8k(x-k)$

We can rewrite the equation as follows:

$y-4k^2-1 = 8k(x-k) \iff y = 8kx - 8k^2+4k^2+1 \iff y = 8kx-4k^2+1$

We know that this function must give 0 when evaluated at x=0:

$f(x) = 8kx-4k^2+1 \implies f(0) = -4k^2+1 = 8 \iff -4k^2 = 7 \iff k^2 = -(7)/(4)$

This equation has no real solution, so the problem looks impossible.

What is 3times 54/100

Answers

Hi there ✌

3 * 54/100

3/1 * 54/100 = 162/100

1 62/100 = 1 31/50

Answer: 1 and 31/50

$(54)/(100) * (3)/(1)$
now simply just multiply the numerators and denominators;
3 × 54 = 162
100 × 1 = 100
so your new fraction is $(162)/(100) = (81)/(50) ( simplest form)$

The scale drawing of a swimming pool measures 2 inches by 3 inches. On the drawing .25 inches =3feet. What actual dimensions of a pool?

Answers

The answer would be 24 feet by 36 feet, because .25 goes into 2, 8 times. 8 • 3 = 24. .25 goes into 3, 12 times. 12 • 3 = 36. Therefore the answer is 24 ft by 36 ft

Teds last 3 test scores were 82 91 88 what is the average of his test scores

Answers

The average of his test scores is 87%.
To find the average of a group of numbers, you have to add all the numbers up, and divide the total by how many numbers you added together.

Teds average is 87%. To find the average you must add up all the numbers, and then divide them by the number of numbers there are lol. Hope this helps! <3

What is the value of 5 in 756 explain

Answers

The number 756 can be written as $700+50+6$ , that is:

$7\cdot100+5\cdot10+6$ .

This means that 5 in the number 756 actually is 50.

We say that 5 is in the tens place, and its value is 50.

Answer: 50

The scientific notation 2 x 10-2 has what value?

Answers

Since the exponent is negative, you move the decimal (2.0) to the left two spots leaving you with .02

2(10^-2)

=2 * 10^-2

= 2 * 1/10 * 10

= 2/10 * 10

= 2/10^2

= 2/100

= 1/50 Decimal: 0.02

Q:The scientific notation 2 x 10-^2 has what value?0.020.0020.20.0002
A: The scientific notation 2 x 10^-2 has the value of 0.02

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