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makvit [3.9K]
2 years ago
9

PLEASE HELP!!!! The class was given this problem and asked to solve for "x". Craig says that x = 11/cos(37). Laura disagrees and

says that x = 11/sin(53). Who (if anyone) is correct?
Mathematics
1 answer:
Sloan [31]2 years ago
4 0

Answer:

both

Step-by-step explanation:

they are both correct. sin and cosine are complements (90-x) of each other ( that's where cosine gets its name).

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Even better morning yall
harina [27]

Answer:

48 cups

Step-by-step explanation:

4 gallons = 64 cups

1 gallon =  64 ÷ 4

1 gallon = 16 cups

3 gallons = 16 * 3 = 48 cups

6 0
3 years ago
Read 2 more answers
The amounts of Cathy’s last six clothing purchases were $109, $72, $99, $15, $99, and $89. For each question, choose the mean, m
lisov135 [29]

Answer:

The mean value = $80.5

Step-by-step explanation:

The value of her last six spendings are $109, $72, $99, $15, $99, and $89.

For the mean.

Mean = Total spendings/number

Mean =483/6

Mean = $80.5

For the median.

Lets arrange it in ascending order

$15 ,$72, $89, $99, $99, $109

The middle values are two.

Median = (89+99)/2

Median = 188/2

Median = $94

For the mode

$15 ,$72, $89, $99, $99, $109

Highest occuring is $99 with two frequencies.

To convince her parents that she needs an increase in allowance she would show them the bigger spendings .

So the least value on the list it's mean value which is $80.5.

5 0
3 years ago
Find r'(t), r(t0), and r'(t0) for the given value of (t0). r(t) = (e^t, e²t), t0 = 0​
creativ13 [48]

Applying the differentiation rule, it can be obtained that:

r'(t)=(e^t,2e^{2t}), r(t_0)=(1,1) and r'(t_0)=(1,2).

<h3>What is the formula for differentiating an exponential function?</h3>

The exponential function exists a mathematical function designated by f(x)=\exp or e^{x}. Unless otherwise determined, the term generally directs to the positive-valued function of a real variable, although it can be extended to complex numerals or generalized to other mathematical objects like matrices or Lie algebras.

In mathematics, the derivative of a function of a real variable estimates the sensitivity to change of the function value affecting a change in its statement. Derivatives exist as a fundamental tool of calculus.

\frac{d}{dt}(e^{mt})=me^{mt}.

Given that r(t)=(e^t,e^{2t}).

So, differentiating r(t)=(e^t,e^{2t}) with respect to t, we get: r'(t)=\left(\frac{d}{dt}(e^t),\frac{d}{dt}(e^{2t})\right).

So, using the above formula \frac{d}{dt}(e^{mt})=me^{mt}, we get: r'(t)=(e^t,2e^{2t}).

Now, substituting t=t_0=0 in r(t)=(e^t,e^{2t}) and r'(t)=(e^t,2e^{2t}), we obtain:

r(t_0=0)=(e^0,e^{2\times 0})=(1,1) and r'(t_0=0)=(e^0,2e^{2\times 0})=(1,2).

Therefore, applying the differentiation rule, we get:

r'(t)=(e^t,2e^{2t}), r(t_0)=(1,1) and r'(t_0)=(1,2).

To know about the differentiation rule, refer:

brainly.com/question/25081524

#SPJ9

5 0
10 months ago
In an arithmetic sequence {an}, if a1 = 5 and d = 3, find a72. A) 216 B) 218 C) 221 D) 223
Phoenix [80]

The arithmetic sequence with the given condition is determined recursively by

\begin{cases}a_1=5\\a_n=a_{n-1}+3&\text{for }n>1\end{cases}

So we have

a_2=a_1+3

a_3=a_2+3=a_1+3(2)

a_4=a_3+3=a_1+3(3)

and so on with the general pattern

a_n=a_1+3(n-1)

This means the 72nd term in the sequence is

a_{72}=a_1+3(72-1)=5+3(71)=218

so the answer is B.

6 0
3 years ago
Only answer 13 and 15 i did 14 already
Neko [114]

Answer:

answer to 13 is 10

answer to 15 is 2,300?

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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