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3 years ago

Find the value of n that makes each equation true. Then, arrange the equations IN increasing ORDER of the values of n found.

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

6 0

n+5=13 n=8

n+5=10 n=5

2n=3 n=1.5

5n=20 n=4

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If 5-y^2=x^2 then find d^2y/dx^2 at the point (2, 1) in simplest form.

ratelena [41]

Answer:

y"(2, 1) = -5

Step-by-step explanation:

Step 1: Define implicit differentiation

5 - y² = x²

Step 2: Find dy/dx

Take implicit differentiation: -2yy' = 2x
Isolate y': y' = 2x/-2y
Isolate y': y' = -x/y

Step 3: Find d²y/dx²

Quotient Rule: y'' = [y(-1) - y'(-x)] / y²
Substitute y': y" = [-y - (-x/y)(-x)] / y²
Simplify: y" = [-y - x²/y] / y²
Multiply top/bottom by y: y" = (-y² - x²) / y³
Factor negative: y" = -(y² + x²) / y³

Step 4: Substitute and Evaluate

y"(2, 1) = -(1² + 2²) / 1³

y"(2, 1) = -(1 + 4) / 1

y"(2, 1) = -5/1

y"(2, 1) = -5

3 0

3 years ago

8 less than the product of 6 and -16

Pachacha [2.7K]

Answer:

-104

Step-by-step explanation:

Step 1: Write out expression

6(-16) - 8

Step 2: Evaluate

-96 - 8

-104

3 0

3 years ago

Jose is baking cakes. He needs 3/4 of butter for each cake. One stick of butter is a 1/2 of a cup. How many sticks do he need to

Anastaziya [24]

Answer: 6 sticks

Step-by-step explanation:

Given

Joe needs $\frac{3}{4}$ butter for each cake

One stick of butter is equivalent to 0.5 cup

So, joe need

$\dfrac{3}{4}\times \dfrac{1}{2}=\dfrac{3}{8}\ \text{cup}$

for each cake

To bake 8 cakes, it is

$\Rightarrow \dfrac{3}{4}\times 8=6\ \text{sticks}$

3 0

3 years ago

Betty has 32 hair ribbons she gave 0.25 of the ribbons to Sheri she gave 0.5 of the remaining ribbons to Marcy she kept the rema

GarryVolchara [31]

Do you mean 25 and 50 percent of the ribbons?

8 0

3 years ago

Read 2 more answers

At the Royal Dragon Chinese restaurant, a slip in the fortune cookies indicates a dollar amount that will be subtracted from yo

Afina-wow [57]

Answer:

We can expect $1.7 off

Step-by-step explanation:

We are given 10 fortune cookies out of which

$1 off = 7 cookies

$2 off = 2 cookies

$6 off = 1 cookie

Probability

A = drawing $1 off cookies P(A) = 7/10

B= drawing $2 off cookies P(B) = 2/10

C= drawing $6 off cookie P(B) = 1/10

Expectation = 1*7/10 + 2*2/10+ 6*1/10

= 7/10 + 4/10 + 6/10

= 17/10 = $1.7 off

5 0

2 years ago