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4 years ago

Help me with these math questions........ WITH SCREENIES

Mathematics

1 answer:

Nutka1998 [239]4 years ago

7 0

Answer: 6.3093

Step-by-step explanation:

$3^{\frac{x}{5}} = 4$

$ln3^{\frac{x}{5}} = ln4$

$\frac{x}{5} ln3 = ln4$

xln3 = 5ln4

$x = \frac{5ln4}{ln3}$

x = 6.3093

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Answer: 5, 3, $\frac{1}{5}$ , D

Step-by-step explanation:

a) x ≤ 0 so, f(-5) = | -5 | = 5

x ≤ 0 so, f(-3) = | -3 | = 3

x > 0 so, f(5) = $\frac{1}{5}$

b) graph D

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Answer: $\frac{\pi}{12}$

Step-by-step explanation:

$\frac{25\pi}{12} - \frac{2\pi}{}$

= $\frac{25\pi}{12} - \frac{24\pi}{12}$

= $\frac{\pi}{12}$

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Which of the following is not a pair of congruent line segments?

Wittaler [7]

2nd answer is it i think

4 0

3 years ago

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Is √4 rational or irrational?

Lelu [443]

Rational because you get a whole number

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3 years ago

The sum of two numbers is 24. The difference is 15. What are the two numbers?

tatiyna

The numbers are "x" and "y",
we suggest this system of equations.
x+y=24
x-y=15
solve by reduction method.
x+y=24
x-y=15
-----------------
2x=39 ⇒x=39/2=19.5

x+y=24
-(x-y=15)
-------------------
2y=9 ⇒y=9/2=4.5

The numbers are 19.5 and 4.5

To check
19.5+4.5=24
19.5-4.5=15

3 0

4 years ago

Two walls have the same area. The first wall is in the shape of a square and has a height

STatiana [176]

Answer:

27 feet

Step-by-step explanation:

Two walls have same area

Area of first wall(square) = 18*18 = 324

Area of second wall = 12 * x = 324

324/12 = 27

27 feet

7 0

3 years ago

Help. I need help with these questions ( see image). Please show workings.

Andrew [12]

9514 1404 393

Answer:

4) 6x

5) 2x +3

Step-by-step explanation:

We can work both these problems at once by finding an applicable rule.

$\text{For $f(x)=ax^n$}\\\\\lim\limits_{h\to 0}\dfrac{f(x+h)-f(x)}{h}=\lim\limits_{h\to 0}\dfrac{a(x+h)^n-ax^n}{h}\\\\=\lim\limits_{h\to 0}\dfrac{ax^n+anx^{n-1}h+O(h^2)-ax^n}{h}=\boxed{anx^{n-1}}$

where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.

This can be referred to as the power rule.

Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:

lim[h→0](f(x+h)-f(x))/h = 2ax +b

4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.

5. The gradient of x^2 +3x +1 is 2x +3.

If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.

3 0

3 years ago