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Katyanochek1 [597]
3 years ago
14

Given the expotential function f(x) = 4(3)^x find f(0) and f(1)

Mathematics
1 answer:
RoseWind [281]3 years ago
5 0

Answer:

4 and 12

Step-by-step explanation:

Given

f(x) = 4(3)^{x} , then

f(0) = 4(3)^{0} = 4 × 1 = 4 [ a^{0} = 1 ]

f(1) = 4(3)^{1} = 4 × 3 = 12

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A rectangular gift box has a volume of 160 cubic cm. Its length is 10 cm and its width is 8 cm. What is its height?
xz_007 [3.2K]

Answer:

1.2

2.6

3.5

4.7.5

Step-by-step explanation:

multiply the length and width together and divide it by the volume to get the height

5 0
3 years ago
Please someone help I need help been stuck on this for the longest
qaws [65]

Answer:

a.) 16

b.) 8

Step-by-step explanation:

a. how much lower was the 6am temperature in Nome than in Wyoming

Essentially this question is asking us to find the difference of the temperatures of Nome and Wyoming at 6am

Temperature of Nome at 6am: -31

Temperature of Wyoming at 6am: -15

Difference between two temperatures: -31 - (-15)

The two negative signs cancel out and the sign changes to +

-31 + 15 = -16

The temperature in Nome was 16 degrees lower then in Wyoming

b. At noon the temperature of Boston had risen by 14 degrees. what was the temperature of boston at noon.

All we have to do for this one is add 14 to the temperature of Boston at 6am. ( This is because the question tells us the temperature has risen 14 degrees by noon )

-6 + 14 = 8

At noon the temperature would be 8 degrees in Boston.

7 0
3 years ago
A million years ago, an alien species built a vertical tower on a horizontal plane. When they returned they discovered that the
velikii [3]

Answer:

\theta=cos^{-1}(\frac{2}{3})

Step-by-step explanation:

We are given that measurements of three points on the ground gave coordinates of (0,0,0),(1,2,0) and (0,2,1)

We have to find the angle by which the tower now deviate from the vertical

We find cross product of <1,2,0> and <0,2,1>

\times =\begin{vmatrix}i&j&k\\1&2&0\\0&2&1\end{vmatrix}

\times =2\hat{i}-\hat{j}+2\hat{k}

Now, we are finding the angle between  \timesand vertical vector <0,0,1>

Angle between two vectors formula

cos\theta=\frac{a.b}{\mid a\mid\cdot\mid b\mid }

Now, using this formula

cos\theta=\frac{2}{1\cdot 3}=\frac{2}{3}

\theta=cos^{-1}(\frac{2}{3})

Hence, the tower deviate from the vertical by the angle \theta=cos^{-1}(\frac{2}{3})

6 0
3 years ago
Which of the following best represents the solution to the pair of equations below?
Stels [109]
Y = x+1
y = -x-1

its C.(0,-1)
5 0
3 years ago
a 12-pounded bag of dog food costs $12.36. a 15-pounded bag of cat food cost $15.30. which is a better deal???
Gekata [30.6K]

Each pound of the dog food costs  $1.03 .
Each pound of the cat food costs  $1.02 .

If you own a dog, then the dog food is the better deal.

If you own a cat, then the cat food is the better deal.

You would not want to feed your pet on food formulated for
a different species of animal, just to save a few pennies.

For that matter, I'll bet you could save a TON of money by
feeding your whole family dog food or cat food three times
a day !

7 0
4 years ago
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