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navik
13 days ago
14

Suppose sin u= x and u is between 0 and pi/2. what is sec u? ...?

Mathematics
1 answer:
Leona [4.1K]13 days ago
4 0

The question seems to require answer choices, which are provided below:

a) sqrt(1 - x^2)
<span>b) x / sqrt(1 - x^2)</span>
<span>c) sqrt(1 - x^2) / x</span>
<span>d) 1 / sqrt(1 - x^2)
</span>
The correct selection is <span>c) sqrt(1 - x^2) / x</span>.

This is because cos u equals sqrt(1 - sin² u), which is sqrt(1 - x²), and cot u is defined as cos u divided by sin u.
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Let a⃗ =4ı^−2ȷ^, b⃗ =−3ı^+5ȷ^, and e⃗ =2a⃗ +3b⃗ . part a write vector e⃗ in component form.
zzz [4022]

We are provided with the vectors:

Vector \vec{a}=4\hat i-2\hat j and \vec{b}=-3\hat i+5\hat j.

Expressing a vector in component form involves detailing each separate component.

Our vector \vec e can be represented as:

\vec e =2\vec a+3\vec b

Now, considering 2 \vec a=2(4\hat i- 2 \hat j)=8 \hat i -4 \hat j

and 3 \vec b= 3(-3 \hat i +5\hat j)=-9 \hat i + 15\hat j

By substituting the values of 2 \vec a and 3\vec b, we find:

\vec e = 8 \hat i-4 \hat j-9 \hat i + 15 \hat j=- \hat i+11 \hat j

Thus, the component form of vector 'e' is:

\vec e= -\hat i+11\hat j

4 0
7 days ago
Which input value produces the same output value for the two functions on the graph?
Inessa [3907]
This question is essentially asking for the x-coordinate where the two graphed functions intersect. The intersection point corresponds to the input value for which both functions yield the same output. Among the options given, the correct choice is the second one, with x = -2 being the input value that results in identical outputs for both functions. I hope this clarifies your question.
4 0
17 days ago
Read 2 more answers
Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Se
Svet_ta [4321]

Answer:

\frac{3}{4} miles per hour.

Step-by-step explanation:

The jogging path used by Selma is a loop measuring \frac{3}{4} of a mile.

On a certain Monday, Selma completed the loop in an hour.

Thus, by applying the common denominator technique, Selma's running rate in miles per hour will be

\frac{3}{4} \div 1 = \frac{3}{4} \div \frac{4}{4} = \frac{3}{4} miles per hour.

The unit for this measurement is mph, or miles per hour. (Answer)

4 0
1 day ago
Chelsea is graphing the function f(x) = 20()x. She begins by plotting the initial value. Which graph represents her first step?
babunello [3635]

we have the function

f(x)=20(\frac{1}{4})^{x}

we understand that

In the context of the exponential function represented as

f(x)=a(b)^{x}

a signifies the initial value

b denotes the base

x represents the exponent

The initial value indicates the function's value when x equals zero

in this scenario

for x=0

f(0)=20(\frac{1}{4})^{0}

f(0)=20(1)=20

the initial value corresponds to the point (0,20)

thus

the solution is displayed in the accompanying figure

6 0
9 days ago
Read 2 more answers
A barbershop requires appointments for perms and hair cuts. Ten percent of those making appointments cancel or simply fail to sh
tester [3916]

Answer:

0.8937

Step-by-step explanation:

This involves binomial probability with n = 64, p = 0.10, and x = 3. This indicates a 10% chance of cancellations. To determine the likelihood of having more than 3 cancellations or no-shows, we calculate binompdf(64,0.10,0) + binompdf(64,0.10,1) + binompdf(64,0.10,2) + binompdf(64,0.10,3), then subtract that total from 1.000.

The result is: 0.0012 + 0.0084 + 0.0293 + 0.0674 = total = 0.1063

Thus, the target probability is 1.0000 - 0.1063 = 0.8937

5 0
1 day ago
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