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3 years ago

What is the answer to 1552+452

Mathematics

2 answers:

Dafna1 [17]3 years ago

5 0

Answer: it is 2004

Step-by-step explanation:

Sergeeva-Olga [200]3 years ago

4 0

Answer:

2004

Step-by-step explanation:

hope this is helpful

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Which function is not defined at 0? Please help urgent

Vlada [557]

Answer:

b and g

Step-by-step explanation:

a. is y = 0³ = 0

b. is y = ln(0), which is undefined because ln(x) is only defined for x > 0

c. is y = 1 / (1 + e^-0) = 1 / (1 + 1) = 1/2

d. is y = 0

e. is y = 0² = 0

f. is y = sin(0) = 0

g. is y = 1/0, which is undefined because division by 0 is undefined

h. is y = e^0 = 1

i. is y = |0| = 0

j. is y = √0 = 0

7 0

3 years ago

A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 5 ft from the house, the

lord [1]

Answer:

a. -5 ft per sec

b. 59.5 ft² per sec

Step-by-step explanation:

a. Suppose l represents the ladder, x represents the height of the top of ladder from the base of house and y represents the distance of base of ladder from the base of house.

By the Pythagoras theorem,

$l^2 = x^2 + y^2------(1)$

Differentiating with respect to t ( time ),

$2l\frac{dl}{dt} = 2x \frac{dx}{dt}+2y\frac{dy}{dt}$

But, height of ladder, l = 13 ft = constant,

$\implies \frac{dl}{dt}=0$

$\implies 0= 2x \frac{dx}{dt}+2y\frac{dy}{dt}-----(2)$

We have,

y = 5, $\frac{dy}{dt}=12\text{ ft per sec}$ ,

Again by equation (1),

$13^2 = x^2 + 5^2\implies 169 = x^2 + 25\implies 169 - 25 = x^2\implies 144 = x^2\implies x = 12\text{ ft}$

From equation (2),

$0 = 2(12) \frac{dx}{dt} + 2(12)(5)$

$0= 24\frac{dx}{dt}+120$

$-120 =24\frac{dx}{dt}$

$\implies \frac{dx}{dt}=-\frac{120}{24}=-5\text{ ft per sec}$

Hence, the rate of change of the height of the top of the ladder is -5 ft per sec.

b. Now area of the triangle = 1/2 × base × height

$\implies A = \frac{1}{2}\times y\times x$

Differentiating with r. t. t,

$\frac{dA}{dt}=\frac{1}{2}(y\frac{dx}{dt}+x\frac{dy}{dt})$

$= \frac{1}{2}(5(-5) + 12(12))$

$=\frac{1}{2}(-25 + 144)$

$=\frac{119}{2}$

= 59.5 ft² per sec

Hence, area of the triangle is changing with the rate of 59.5 ft per sec.

7 0

4 years ago

I need help please, i dont understand

jenyasd209 [6]

9514 1404 393

Answer:

(a) none of the above

Step-by-step explanation:

The largest exponent in the function shown is 2. That makes it a 2nd-degree function, also called a quadratic function. The graph of such a function is a parabola -- a U-shaped curve.

The coefficient of the highest-degree term is the "leading coefficient." In this case, that is the coefficient of the x² term, which is 1. When the leading coefficient of an even-degree function is positive, the U curve has its open end at the top of the graph. We say it "opens upward." (When the leading coefficient is negative, the curve opens downward.)

This means the bottom of the U is the minimum value the function has. For a quadratic in the form ax²+bx+c, the horizontal location of the minimum on the graph is at x=-b/(2a). This extreme point on the curve is called the "vertex."

This function has a=1, b=1, and c=3. The minimum of the function is where ...

x = -b/(2·a) = -1/(2·1) = -1/2

This value is not listed among the answer choices, so the correct choice for this function is ...

none of the above

The attached graph of the function confirms that the minimum is located at x=-1/2

_____

<em>Additional comment</em>

When you're studying quadratic functions, there are few formulas that you might want to keep handy. The formula for the location of the vertex is one of them.

8 0

3 years ago

If the area of a rectangle is 8.4 x 1012 ft2 and the length of the rectangle is 2.0 x 108 ft, what is the width of the rectangle

KATRIN_1 [288]

I hope this helps you

6 0

3 years ago

The price of an item has been reduced by 55%. The original price was $43.

victus00 [196]

Answer:

27.00

Step-by-step explanation:

The original price was $60. What is the price of the item now? ... If the price has been reduced by 55 percent, this means we are paying for ... Let me know if you have any questions. ... Tutor. 4.9 (43). Semi-Retired Mechanical Engineer & Mathematician ... So, 45% of $60 = .45 x $60 = $27.00 (Price now).

3 0

3 years ago