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Paha777 [63]
3 years ago
5

find a recipe in a book or online that includes the amount of salt as a fraction. model how to find the amount of salt needed wh

en the recipe is doubled.
Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
8 0

Answer:

Jamaican Black Cake recipe includes, among others, 1/4 teaspoon of salt.

When the recipe is doubled all amounts of ingredients are multiplied by 2. Then the 3 cups of flour are doubled to 2*3 = 6 cups of flour, and the 1/4 teaspoon of salt is doubled to 2*(1/4) = 1/2 teaspoon of salt.

stich3 [128]3 years ago
3 0
Cinnamon roll cakes have salt as a fraction.
<span>¼ tsp. salt
Multiple 1/4 by 2 and you get 2/4 or 1/2 as doubled</span>
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katen-ka-za [31]

Answer:

D. No, because group A is already the control group.

7 0
2 years ago
a small rocket is shot from the edge of a cliff suppose that after t seconds the rocket is y meters above the cliff where y=30t-
Natalka [10]

Answer:

Greatest height: 45 meters

Time for greatest height: 3 seconds

Height after 5 seconds: 25 meters above the cliff

Time for height of 40 meters: 7.123 seconds

Height after 7 seconds: -35 meters (35 meters below the cliff)

Step-by-step explanation:

to find the maximum height, we need to calculate the derivative of y in relation to t and then find when dy/dt = 0:

dy/dt = 30 - 10t = 0

10t = 30

t = 3 seconds

In this time, the height is:

y = 30*3 - 5*3^2 = 45 meters

After 5 seconds, the height is:

y = 30*5 - 5*5^2 = 25 meters

The time for the height of 40 meters is:

40 = 30t - 5t^2

t^2 - 6t - 8 = 0

Using Bhaskara's formula, we have:

Delta = 6^2 + 4*8 = 68

sqrt(Delta) = 8.246

t1 = (6 + 8.246) / 2 = 7.123 seconds

t2 = (6 - 8.246) / 2 = -1.123 seconds (negative value for time is not valid)

So the time when the rocket reaches 40 meters is 7.123 seconds

After 7 seconds, the height is:

y = 30*7 - 5*7^2 = -35 meters

The rocket will be 35 meters below the cliff.

5 0
3 years ago
Which table represents the function f(x) = 6x - 8<br><br> HURRY PLEASEE
alexira [117]

Answer:

C

Step-by-step explanation:

I did the math

Substitute x for whatever number is on the graph for x then do the math and get the answer for y and see if they are correct for each one.

4 0
3 years ago
Angie goes to a fair that charges $8 admission and $0.75 per ride.
faltersainse [42]
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5 0
3 years ago
Water pours into a tank at the rate of 2000 cm3/min. The tank is cylindrical with radius 2 meters. How fast is the height of wat
Gennadij [26K]

Volume of water in the tank:

V=\pi (2\,\mathrm m)^2h=\pi(200\,\mathrm{cm})^2h

Differentiate both sides with respect to time <em>t</em> :

\dfrac{\mathrm dV}{\mathrm dt}=\pi(200\,\mathrm{cm})^2\dfrac{\mathrm dh}{\mathrm dt}

<em>V</em> changes at a rate of 2000 cc/min (cubic cm per minute); use this to solve for d<em>h</em>/d<em>t</em> :

2000\dfrac{\mathrm{cm}^3}{\rm min}=\pi(40,000\,\mathrm{cm}^2)\dfrac{\mathrm dh}{\mathrm dt}

\dfrac{\mathrm dh}{\mathrm dt}=\dfrac{2000}{40,000\pi}\dfrac{\rm cm}{\rm min}=\dfrac1{20\pi}\dfrac{\rm cm}{\rm min}

(The question asks how the height changes at the exact moment the height is 50 cm, but this info is a red herring because the rate of change is constant.)

7 0
3 years ago
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