Carla is going to the water slides and needs to figure out which deal is better. She can pay$31 to go on the water slides as much as she wants, or she can pay $13 to get in, plus an
additional $3 per trip down the water slides. If Carla goes on a certain number of trips down
the water slides, the two options are equivalent in terms of cost. How many trips is that?
What is the cost?

Answers

Answer 1

Answer:

Answer: $31 & It would be 6 trips!

Step-by-step explanation: 6 trips x $3 for the trips, is $18 plus the $13 to get in the park, would be equivalent to $31

Answer 2

Answer:

Answer:

if she rides the slides 6 times, the costs will be the same: $31

Step-by-step explanation:

You can write an equation in order to solve this problem. Since you are trying to find how many trips using the (3t + 13) plan are equal to the plan that costs 31, the equation would be:

31 = 3t + 13

= 18 = 3t

= 6 = t

(3t + 13 stands for $3 a trip plus $13 entry fee)

This means that if Carla takes 6 trips using either plan, they will cost the same; both would cost $31.

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Simplify the expression 4^4/4^6

Answers

Answer:

$1/16$

Step-by-step explanation:

$(4^(4) )/(4^(6) )$

$4^(4-6)$

$4^(-2)$

$(1)/(4^(2) )$

$(1)/(16)$

Final answer:

By using the rules of exponents, we find that $4^4/4^6$ simplifies to $1/4^2$ , which equals 1/16.

Explanation:

The expression you're looking to simplify is $4^4/4^6$ . In mathematics, when you divide two numbers with the same base, you subtract the exponents. To simplify this expression, subtract the exponent 6 from the exponent 4. This gives us $4^(-2)$ , and any number raised to a negative exponent is 1 divided by the number raised to that exponent. Thus, the simplified form of the expression is $1/4^2$ or 1/16.

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Let f(x) = tan(x)-2/x. Let g(x) = x^2+8.
What is f(x)*g(y)?

Answers

The product of two functions f(x)*g(y), when f(x) = tan(x)-2/x and g(x) = x^2+8 is,

$f(x)* g(y)= y^2\tan(x)+8\tan(x)-(2y^2)/(x)-(16)/(x)$

What is the product of functions?

When the two or more than two functions are multiplies together. Then the resultant function is called the product of these functions.

Let suppose there is a function f(x) and another function g(x). Then the product of function can be written as,

$f(x)* g(x)$

Let suppose, a function f(x) is

$f(x)= tan(x)-(2)/(x)$

Let another function g(x) is,

$g(x)= x^2+8$

Then g(y), will be,

$g(y)= y^2+8$

The product of this two function is,

$f(x)* g(y)= \left(\tan(x)-(2)/(x)\right)*(y^2+8)\nf(x)* g(y)= y^2\tan(x)+8\tan(x)-(2y^2)/(x)-(16)/(x)$

Thus, the product of two functions f(x)*g(y), when f(x) = tan(x)-2/x and g(x) = x^2+8 is,

$f(x)* g(y)= y^2\tan(x)+8\tan(x)-(2y^2)/(x)-(16)/(x)$

Learn more about the composite function here;

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Answer:

Step-by-step explanation:

(x)*g(y)

=(tanx-2/x)*(y²+8)

=y²tanx+8tanx-2y²/x-16/x

If C=X + 6 and D=3X -6 + 4x to the second power of 4x if an expression that equals C + 3D in standard form.

Answers

Answer:

3=3y4/i94 =78

Step-by-step explanation:

A sphere has a diameter of 4(x + 3) centimeters and a surface area of 7847 squarecentimeters. Find the value of x.

Answers

Answer:

Step-by-step explanation:

Someone help me on this.

Answers

Answer:

$-57-39i$

Step-by-step explanation:

So we have the expression:

$(7+2i)(-9-3i)$

FOIL:

$=7(-9)+7(-3i)+2i(-9)+2i(-3i)$

Simplify:

$=-63-21i-18i-6i^2$

Recall that i² is just -1. Thus:

$=-63-21i-18i-6(-1)$

Simplify:

$=-63-21i-18i+6$

Combine like terms:

$=(-63+6)+(-21i-18i)$

Add:

$=-57-39i$

And we're done!

Linda enrolls for 10 credit hours for each two semsters at a cost of $600 per credit hour. in addition textbooks $400 per semster.

Answers

Answer:

$6800

Step-by-step explanation:

1. Assuming your question was how much is her cost the total cost should amount to $6800.

2. First you should multiply 10 by 600 to find out the cost for the credit hours

3. Next you take the cost of textbooks into factor, with each being 400 a semester you add them together to get $800

4. You add both costs together and get the final price of $6800 for both semesters of her education.

Final answer:

Linda's total cost for college for this academic year is calculated as $12,800, encompassing both tuition and textbooks. This is part of an observed trend in increasing higher education costs.

Explanation:

Cost of Tuition: Linda is paying $600 per credit hour for 20 credit hours (10 each semester), so $600 * 20 = $12,000 in total for tuition.

Cost of Textbooks: She is also spending $400 per semester for textbooks, so $400 * 2 = $800 in total for textbooks.

Total Cost: Thus, Linda's total cost for the academic year would be the sum of these two costs, i.e, $12,000 + $800 = $12,800. The costs of tuition, textbooks and other expenses are part of the rising trend of higher education costs. Despite this, the value of education still remains high, as it can lead to better job prospects and higher earning potential in the future.

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