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Nat2105 [25]
3 years ago
8

Find 2x2 − 2z4 + y2 − x2 + z4 if x = −4, y = 3, and z = 2.

Mathematics
1 answer:
maw [93]3 years ago
3 0
If you put in the substitutions it would be 2*2-(2*2*4)+(3*2)-(-4*2)+(2*4).
Simplified further by multiplying it would be 2*2-8+6--8+8
the negative 8 could be simplified further since the negatives cancel out so you'll have 2*2-8+6+8+8.
Then using the order of operations you would multiply the 2's together first to get 4 so you have 4-8+6+8+8. 
After that it's simple addition giving you an answer of -26.
I'm not sure if you're looking for the final answer or just the equation with substitutions but there's both.

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A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, t
7nadin3 [17]

To solve this problem, we can use the tan function to find for the distances covered.

tan θ = o / a

Where,

θ = angle = 90° - angle of depression

o = side opposite to the angle = distance of boat from lighthouse

a = side adjacent to the angle = height of lighthouse = 200 ft

When the angle of depression is 16°18', the initial distance from the lighthouse is:

o = 200 tan (90° - 16°18')

o = 683.95 ft

When the angle of depression is 48°51', the final distance from the lighthouse is:

o = 200 tan (90° - 48°51')

o = 174.78 ft

 

Therefore the total distance the boat travelled is:

d = 683.95 ft - 174.78 ft

<span>d = 509.17 ft</span>

4 0
3 years ago
The traffic engineer for a large city is conducting a study on traffic flow at a certain intersection near the city administrati
AlexFokin [52]

Options

A. The number of cars passing through the intersection in one hour

B. The number of pedestrians crossing the intersection in one hour

C. The number of bicyclists crossing the intersection in one hour

D. The number of food trucks that park within four blocks of the intersection

E. The number of minutes for a car to get from the intersection to the administration building

Answer:

The number of minutes for a car to get from the intersection to the administration building

Step-by-step explanation:

A variable is said to be discrete if and only if it has a countable number of values. While a variable is said to be continuous if it can take infinitely many values.

Option a to d contains discrete variables (1 hour) and (4 blocks), so they can't be regarded as the right option. 1 hour and 4 blocks are specified values and they can't take any other fraction of values aside 1 and 4 respectively.

Looking at option e, the variable, number of minute as stated in this option is a continuous variable. This is so because at any two interval of minutes, fractions and lots of a minute can always be recorded by the engineer to study the traffic flow

5 0
3 years ago
Mimi has 16 more bouncy balls than Leah.
Ilya [14]

Answer:

i say this because mimi has 16 MORE than leah so the answer is: b+16

6 0
3 years ago
Pls help i don't know Anymore​
ch4aika [34]

1/3

本题已由中国数学会官方解答(现有会员:2人)

8 0
2 years ago
What is the value for ƒ(x) = 3x^2+1 when x= 1/2<br><br> 3<br> 6<br> 9<br> 15
lisabon 2012 [21]

None of your answers above will answer the question. The proper value for x = 1/2 is 7/4. The work for this is below.


f(x) = 3x^2 + 1

f(1/2) = 3(1/2)^2 + 1

f(1/2) = 3(1/4) + 1

f(1/2) = 3/4 + 1

f(1/2) = 7/4


I assume you may have missed something in typing, but 7/4 would be your answer.

5 0
3 years ago
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