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Step2247 [10]
3 years ago
15

Please help me with the one that says convince me !

Mathematics
1 answer:
lora16 [44]3 years ago
4 0

Answer:

Cory is correct

Step-by-step explanation:

When you divide 3.9 by 0.52 the quotient is 7.5. 7.5 will round up to 8.

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When Marisol is resting her heart beats 70 times per minute.When Marisol is jogging, her heart beats 150 times per minute. Durin
GalinKa [24]
In 1 hour ther are 60 minute so

1/2 hour=30 minutes

so 30 times 70=resting beats per 1/2 hour=2100

then 150 times 30=jogging beats per minute=4500
subtract

4500-2100=2400

it beat 2400 more times
5 0
3 years ago
Vanilla Ice Cream
wel

Answer:

1 cup of heavy cream

27 cups of whole milk

1/3 cups of sugar

7 teaspoons of vanilla extract

(serves 2 peopel)

Step-by-step explanation:

Since the whole thing is serving 4 people....you just have to divide all the ingredients by 2

6 0
3 years ago
It takes Ryan 1/5 hour to bike home from school. his biking speed is 10 mph
Anika [276]
1/50? I can’t be sure....

Ok, so.. first you write both the problems down and write the 10 as a fraction (so it would automatically be 10/1). Then invert so it would be a multiplication problem (1/5 x 1/10). Since you can’t cross cancel, you multiply across. So, 1/5 x 1/10 (1 x 1 and 10 x 5)
1/50
5 0
3 years ago
Let the (x; y) coordinates represent locations on the ground. The height h of
grigory [225]

The critical points of <em>h(x,y)</em> occur wherever its partial derivatives h_x and h_y vanish simultaneously. We have

h_x = 8-4y-8x = 0 \implies y=2-2x \\\\ h_y = 10-4x-12y^2 = 0 \implies 2x+6y^2=5

Substitute <em>y</em> in the second equation and solve for <em>x</em>, then for <em>y</em> :

2x+6(2-2x)^2=5 \\\\ 24x^2-46x+19=0 \\\\ \implies x=\dfrac{23\pm\sqrt{73}}{24}\text{ and }y=\dfrac{1\mp\sqrt{73}}{12}

This is to say there are two critical points,

(x,y)=\left(\dfrac{23+\sqrt{73}}{24},\dfrac{1-\sqrt{73}}{12}\right)\text{ and }(x,y)=\left(\dfrac{23-\sqrt{73}}{24},\dfrac{1+\sqrt{73}}{12}\right)

To classify these critical points, we carry out the second partial derivative test. <em>h(x,y)</em> has Hessian

H(x,y) = \begin{bmatrix}h_{xx}&h_{xy}\\h_{yx}&h_{yy}\end{bmatrix} = \begin{bmatrix}-8&-4\\-4&-24y\end{bmatrix}

whose determinant is 192y-16. Now,

• if the Hessian determinant is negative at a given critical point, then you have a saddle point

• if both the determinant and h_{xx} are positive at the point, then it's a local minimum

• if the determinant is positive and h_{xx} is negative, then it's a local maximum

• otherwise the test fails

We have

\det\left(H\left(\dfrac{23+\sqrt{73}}{24},\dfrac{1-\sqrt{73}}{12}\right)\right) = -16\sqrt{73} < 0

while

\det\left(H\left(\dfrac{23-\sqrt{73}}{24},\dfrac{1+\sqrt{73}}{12}\right)\right) = 16\sqrt{73}>0 \\\\ \text{ and } \\\\ h_{xx}\left(\dfrac{23+\sqrt{73}}{24},\dfrac{1-\sqrt{73}}{12}\right)=-8 < 0

So, we end up with

h\left(\dfrac{23+\sqrt{73}}{24},\dfrac{1-\sqrt{73}}{12}\right)=-\dfrac{4247+37\sqrt{73}}{72} \text{ (saddle point)}\\\\\text{ and }\\\\h\left(\dfrac{23-\sqrt{73}}{24},\dfrac{1+\sqrt{73}}{12}\right)=-\dfrac{4247-37\sqrt{73}}{72} \text{ (local max)}

7 0
3 years ago
Write a recursive formula to represent the total height of the nth stair above the ground if the height of each stair is 18 cm.
anastassius [24]

Answer:

your answer is +18

Step-by-step explanation:

6 0
4 years ago
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