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VikaD [51]
3 years ago
6

1. A kitchen is shaped like a rectangle with dimensions of 4 ft by 7 ft. The

Mathematics
1 answer:
coldgirl [10]3 years ago
8 0

Answer:

112 tiles

Step-by-step explanation:

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Please HELP!!!!<br> will give brainliest!!
Temka [501]

Answer:

Original equation:

y = a sin(b(θ -c)) + d

a = vertical dilation (stretch) of the amplitude

b = horizontal compression (shrink) of the period

c = horizontal shift (left/right)

d = vertical shift (up/down)

Your function is:

y = 3 sin(3θ + π) - 2

First, put it into the general from by factoring out the three in the argument of the sine:

y = 3 sin(3(θ + π/3)) - 2

a = vertical (amplitude) dilation = 3

b = horizontal (period) compression = 2π/period = 3

c = horizontal shift = π/3 to the left

d = vertical shift = -2

6 0
2 years ago
If m 1=55, what is m 5?
AleksAgata [21]
275 if i'm not mistaken
6 0
3 years ago
Read 2 more answers
A 500500-gallon tank initially contains 200200 gallons of brine containing 100100 pounds of dissolved salt. brine containing 11
mixer [17]
Let A(t) denote the amount of salt in the tank at time t. We're given that the tank initially holds A(0)=100 lbs of salt.

The rate at which salt flows in and out of the tank is given by the relation

\dfrac{\mathrm dA}{\mathrm dt}=\underbrace{\dfrac{11\text{ lb}}{1\text{ gal}}\times\dfrac{44\text{ gal}}{1\text{ min}}}_{\text{rate in}}-\underbrace{\dfrac{A(t)}{200+(44-11)t}\times\dfrac{11\text{ gal}}{1\text{ min}}}_{\text{rate out}}
\implies A'(t)+\dfrac{11}{200+33t}A(t)=484

Find the integrating factor:

\mu(t)=\exp\left(\displaystyle\int\frac{11}{200+33t}\,\mathrm dt\right)=(200+33t)^{1/3}

Distribute \mu(t) along both sides of the ODE:

(200+33t)^{1/3}A'(t)+11(200+33t)^{-2/3}A(t)=484(200+33t)^{-1/3}
\bigg((200+33t)^{1/3}A(t)\bigg)'=484(200+33t)^{-1/3}
A(t)=484\displaystyle\int(200+33t)^{-1/3}\,\mathrm dt
A(t)=22(200+33t)^{2/3}+C

Since A(0)=100, we get

100=22(200)^{2/3}+C\implies C\approx-652.39

so that the particular solution for A(t) is

A(t)=22(200+33t)^{2/3}-652.39

The tank becomes full when the volume of solution in the tank at time t is the same as the total volume of the tank:

200+(44-11)t=500\implies 33t=300\implies t\approx9.09

at which point the amount of salt in the solution would be

A(9.09)\approx733.47\text{ lb}
4 0
3 years ago
Your goal is to take at least 10,800 steps per day. According to your​ pedometer, you have walked 7370 steps. Write and solve an
faust18 [17]

Answer:

Step-by-step explanation:

Let the numbers of steps you can take to reach your goal be x

Your goal is to take at least 10,800 steps per day and you have walked 7370 steps already.

x + 7370 >= 10800

x >= 10800 - 7370

x >= 3430

3 0
3 years ago
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An individual is presented with three different glasses of cola, labeled c, d, and p. he is asked to taste all three and then li
Usimov [2.4K]
The combination of c, d and p are cdp, cpd, dcp, dpc, pcd, pdc. 
a. The probability for each one of the combination is 1/6
b. Combination that has c ranked first is 2
Probability of c is ranked first will be 2/6.
c. Sequence that c is ranked first and d is ranked last is only one that is cpd.So the probability is 1/6
4 0
3 years ago
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