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statuscvo [17]
3 years ago
11

Is 22+ 32 = 42 a true statement? Explain.

Mathematics
1 answer:
ivolga24 [154]3 years ago
4 0
No, this is not true, 22+32 =54 this is not a true statement
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9( −5ℎ) in standard form
harkovskaia [24]

Answer:

Step-by-Step-explaination

9(−5ℎ) = - 45h

6 0
3 years ago
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Find the solution of the differential equation dy/dt = ky, k a constant, that satisfies the given conditions. y(0) = 50, y(5) =
irga5000 [103]

Answer:  The required solution is y=50e^{0.1386t}.

Step-by-step explanation:

We are given to solve the following differential equation :

\dfrac{dy}{dt}=ky~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

where k is a constant and the equation satisfies the conditions y(0) = 50, y(5) = 100.

From equation (i), we have

\dfrac{dy}{y}=kdt.

Integrating both sides, we get

\int\dfrac{dy}{y}=\int kdt\\\\\Rightarrow \log y=kt+c~~~~~~[\textup{c is a constant of integration}]\\\\\Rightarrow y=e^{kt+c}\\\\\Rightarrow y=ae^{kt}~~~~[\textup{where }a=e^c\textup{ is another constant}]

Also, the conditions are

y(0)=50\\\\\Rightarrow ae^0=50\\\\\Rightarrow a=50

and

y(5)=100\\\\\Rightarrow 50e^{5k}=100\\\\\Rightarrow e^{5k}=2\\\\\Rightarrow 5k=\log_e2\\\\\Rightarrow 5k=0.6931\\\\\Rightarrow k=0.1386.

Thus, the required solution is y=50e^{0.1386t}.

8 0
3 years ago
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The figure shows a blueprint of a dining room, kitchen, and living room. Each square has a side length of 1/4 inch. Tile costs $
Anastaziya [24]

Answer:

The cost of the tile for the kitchen is $1,680

Step-by-step explanation:

step 1

we know that

The scale drawing is \frac{1}{16}\frac{in}{ft}

The dimensions of the kitchen in the blueprint are

L=3(1/4)=3/4 in

W=5(1/4)=5/4 in

step 2

Find the actual dimensions of the kitchen

Divide the dimensions of the kitchen in the blueprint by the scale drawing

L=(3/4)/(1/16)=12 ft

W=(5/4)/(1/16)=20 ft

The area is equal to

A=(12)(20)=240 ft²

step 3

Find the cost of the tile for the kitchen

7(240)=$1,680

3 0
3 years ago
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Cherry is booking a 3-night stay at a hotel. The rate is $45 per room plus tax.
8_murik_8 [283]

Answer:

The lodging cost of the room is $ 41.28

Step-by-step explanation:

Given as :

The rate of room including taxes = $ 45

The state tax = 6 %

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So, The total tax = 6 % + 2 % + 1 % = 9 %

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x + 9 % of x = $ 45

Or, x + 0.09 × x = 45

Or, 1.09 × x = 45

∴ x = \frac{45}{1.09} = $ 41.28

Hence The lodging cost of the room is $ 41.28   Answer

6 0
3 years ago
What are the x-intercept and the y-intercept of the graph of y=−1/2x−5
Snezhnost [94]
X intercept (-10,0)

y intercept (0,-5) 
3 0
3 years ago
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