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2 years ago

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What is the length of the ladder? It is 6 ft. from the house at the bottom and touches the wall 14 ft. up at the top. Simplify y

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1 answer:

Sauron [17]2 years ago

4 0

Answer:

15.2

${c }^{2} = {a}^{2} + {b}^{2} \: \\ {c}^{2} ={6}^{2} + {14}^{2} \\ {c}^{2} = 36 + 196 \\ {c}^{2} = 232 \\ \sqrt{c } = \sqrt{232} \\ c = 15.23154621$

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a truck that can carry no more than 6400 lb is being used to transport refrigerators and upright pianos. Each refrigerator weigh

Tems11 [23]

I'm not going to do the entire question, but I'll do the first part.

For the first part, you have to set up an inequality. Use context clues, such as no more than (the one used in this sentence) to figure out what the symbol should be for the inequality.
In this case, because it is NO MORE THAN 6400, it would be:

6400 $\leq$ 250r + 475p

where r represents the # refrigerators, and p represents the # pianos

Now that you have the equation, make the graph, then for the 3rd part, plug in 12 and 8 to r and p to see if it keeps the inequality true.

Hope this helps! :)

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3 years ago

Read 2 more answers

For the function P(x) = x3 − 9x, at the point (2, −10), find the following. (a) the slope of the tangent to the curve (b) the in

Shalnov [3]

Answer:

3, in both a), b)

Step-by-step explanation:

a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.

Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is $p'(x)=3x^2-9$ . In particular, the value we are looking for is $p'(2)=3(2^2)-9=12-9=3$ .

If you would like to compute the equation of the tangent line, we can use the point-slope equation to get $y=3(x-2)-10=3x-16$

b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to $p'(2)=3$ .

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3 years ago

You have two coupons, one is for $25 off and the other is for 25% off. When would you use the $25 off coupon? When would you use

Brut [27]

Answer:

If I had two coupons, one for $ 25 off and the other for 25% off, to determine when I would use the $ 25 off coupon and when I would use the 25% off coupon, and when it would not matter which coupon I would use, I must carry out the following reasoning:

The $ 25 off coupon is a flat coupon, that is, it does not adapt to the price of the thing to be paid, but rather maintains its value constantly. Therefore, its utilization will be higher if those $ 25 represent a high value compared to the initial price of the product: if the thing is worth $ 50, a $ 25 off coupon represents half its value, while if the thing is worth $ 500, that same coupon will only represent 5% of it. Therefore, I would use the coupon for things that are worth between $ 25 and $ 99.

Instead, the 25% off coupon is a variable coupon, which is adapted according to the value of the product. In other words, a discount will always be made for 25% of said value: if the product is worth $ 80, the discount will be $ 20 (80 x 0.25), while if the product is worth $ 1,000, the discount will be $ 250 (1000 x 0.25 ). Therefore, I would use the coupon for products with a price greater than $ 100, that is, from $ 101 and up.

Finally, since 25% of $ 100 is $ 25, if you buy something of that value, it would be indistinct to use either of the two coupons.

8 0

3 years ago

savannah has $5 in her wallet. she owes her brother 20 and owes her sister 18 . she earned 25 babysitting. write an algebraic ex

sladkih [1.3K]

An equation that represents this is

(5-20-18)+25

The steps to solve it are as follows

(-15-18)+25
-33+25= (-8)

she is still 8 dollars in debt

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2 years ago

Find the value of x. 14 and 15

MAVERICK [17]

Answer:

15) x=62

14) 19

Step-by-step explanation:

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2 years ago