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3 years ago

Y = sec θ tan θ differentiate

1 answer:

6 0

Y = sec t tan t = 1/ cos t * sin t / cos t = sin t / cos² t
$y`= \frac{cos t cos ^{2} t-2 cost*(-sin t)*sint}{cos^{4} t}= \\ =\frac{cos ^{3} t+2costsin^{2}t }{cos ^{4}t }= \\ = \frac{cos ^{2} t+2sin ^{2} t}{cos ^{3} t}= \\ = \frac{1-sin ^{2}t+2sin ^{2} t }{cos ^{3}t }= \\ = \frac{1+sin ^{2} t}{cos ^{3}t }$

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Round 593,204 to the nearest million

GenaCL600 [577]

1,000,000 If the number is 5-9 (in this case, the one in the hundred-thousands place), you round up. If lower, then round down

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3 years ago

A multiplier of 1.641 corresponds to a percentage increase or decrease of what percent?

bezimeni [28]

Answer:

A multiplier of 1.641 corresponds to a percentage increase or decrease of 64.1%.

Step-by-step explanation:

To determine a percentage increase or decrease of a certain number, a calculation consisting of the multiplication of said number by 1 plus the decimals corresponding to the percentage to be increased must be performed. Thus, for example, if you want to increase a number by 50%, you must multiply that number by 1.50. Therefore, if you multiply a number by 1,641, this implies that you are wanting to increase or decrease the initial number by 64.1%.

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3 years ago

Choose the correct slope of the line that passes through the points (1, −3) and (3, −5).

Lelu [443]

I believe it is -1.

7 0

3 years ago

Read 2 more answers

Manuel incorrectly claimed that the surface area of the cylinder shown is about 190.0 in.2. Use a formula to find the surface ar

Kitty [74]

Answer:

25.9%

Step-by-step explanation:

Note: you did not provide any attached image detailing the dimension of the cylinder however, let us arrange some dimension for explanation purpose

let the dimension of the cylinder be

radius= 3in

height= 5 in

Step two

The expression for the total surface area of a cylinder is

T. S. A. =2πrh+2πr2

substitute

T. S. A. =2*3.142*3*5+2*3.142*3^2

T. S. A. =94.26+56.556

T. S. A. =150.816 in^2

Now let us find the error

%error= actual -expected/expected*100

%error= 190 -150.816/150.816*100

%error= 39.184/150.816*100

%error= 0.259*100

%error= 25.9%

Now, you can use the dimension you have for the cylinder to calculate the total surface area, from there, you can solve for the error by following the steps above

3 0

3 years ago

At a ski resort, 1/4 of the 300 skiers are beginners, and 1/4 of the 260 snowboarders are beginners. The resort staff used the d

Evgen [1.6K]

$\frac{1}{4}(300 + 260) = \frac{1}{4} \times 300 + \frac{1}{4} \times 260$ is the expression that demonstrates the distributive property

<em><u>Solution:</u></em>

Given that,

At a ski resort, $\frac{1}{4}$ of the 300 skiers are beginners

$\frac{1}{4}$ of the 260 snowboarders are beginners

The resort staff used the distributive property to make the calculation of the total number of beginners on the ski slopes

Beginners in skiers = $\frac{1}{4}$ of the 300

Beginners in snowboarders = $\frac{1}{4}$ of the 260

Total number of beginners = Beginners in skiers + Beginners in snowboarders

$\text{ Total number of beginners } = \frac{1}{4}(300) + \frac{1}{4}(260)$

We have to use distributive property

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum

<em><u>Therefore, our expression is:</u></em>

$\frac{1}{4}(300) + \frac{1}{4}(260)$

We have to take $\frac{1}{4}$ as common term to get distributive property

$\frac{1}{4}(300) + \frac{1}{4}(260) = \frac{1}{4}(300 + 260)\\\\\frac{1}{4} \times 300 + \frac{1}{4} \times 260 = \frac{1}{4}(300 + 260)$

Thus distributive property is applied

8 0

3 years ago