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3 years ago

Can someone please help me on this ASAP!

Mathematics

1 answer:

kondaur [170]3 years ago

6 0

Answer:

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Ann increased the quantities of all the ingredients in a recipe by 60% 60, percent. She used 808080 grams (g) of cheese. How muc

Alexus [3.1K]

Answer:

50 gram

Step-by-step explanation:

The actual percentage recipe = 100%

Percentage Increase in recipe = 60%

Recipe used as a result of increment = 80 gram

Hence,

100% + 60% = 80

160% = 80g

If :

160% = 80

100% = x

Cross multiply

1.6x = 80 * 1

1.6x = 80

x = 80 / 1.6

x = 50

Recipe required 50 gram

4 0

2 years ago

Consider the parabola r(t)equalsleft angle at squared plus 1 comma t right angle, for minusinfinityless thantless thaninfinity

kodGreya [7K]

Given:- $r(t)=< at^2+1,t>$ ; $-\infty < t< \infty$ , where a is any positive real number.

Consider the helix parabolic equation :

$r(t)=< at^2+1,t>$

now, take the derivatives we get;

$r{}'(t)=$

As, we know that two vectors are orthogonal if their dot product is zero.

Here, $r(t) and r{}'(t)$ are orthogonal i.e, $r\cdot r{}'=0$

Therefore, we have ,

$< at^2+1,t>\cdot < 2at,1>=0$

$< at^2+1,t>\cdot < 2at,1>=$

$=2a^2t^3+2at+t$

$2a^2t^3+2at+t=0$

take t common in above equation we get,

$t\cdot \left (2a^2t^2+2a+1\right )=0$

⇒ $t=0$ or $2a^2t^2+2a+1=0$

To find the solution for t;

take $2a^2t^2+2a+1=0$

The number $D = b^2 -4ac$ determined from the coefficients of the equation $ax^2 + bx + c = 0.$

The determinant $D=0-4(2a^2)(2a+1)$ $=-8a^2\cdot(2a+1)$

Since, for any positive value of a determinant is negative.

Therefore, there is no solution.

The only solution, we have t=0.

Hence, we have only one points on the parabola $r(t)=< at^2+1,t>$ i.e <1,0>

6 0

3 years ago

Round 2.12747677748 to the nearest ten-thousandth.

Gwar [14]

Answer:

2.1275 is 2.12747677748 rounded to the nearest ten-thousandth.

Step-by-step explanation:

Since the hundred-thousandth place is 5 or above, we would round the ten-thousandths place up. THis makes the number 2.1275.

8 0

2 years ago

Match each pair of points with the coordinate that will make a right triangle with its hypotenuse along the graph shown.

MrRa [10]

1 is B
2 is C
3 is A
4 is E

It's a simple question if you use the graph. I recommend you plot the points, so hopefull you can see how i got the answers.

6 0

3 years ago

what is the inverse of h(x)=12e^2x. based on your answer write an expression write an expression equivalent to where x is h of 1

dezoksy [38]

Let y = 12 e^2x

e^2x = y/12
Taking [email protected]
ln e^2x = ln (y/12)

2x = ln (y/12)

x = (1/2) ln (y / 12)

so the inverse h-1(x) = (1/2) ln ( x / 12)

3 0

3 years ago