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Aleksandr [31]
3 years ago
10

Please answer the following:

Mathematics
2 answers:
kow [346]3 years ago
8 0

Answer:

26 1/2 (C)

Step-by-step explanation:

Turn the mixed number into a improper fraction and turn 6 into a improper fraction

6/1*53/12

Cross Multiply 6 can into 12 twice

1/1*53/2

Just Multiply

53/2

Turn into a Mixed Number

26 1/2

Hope this helps!!!

Have a great day!!!! :)

konstantin123 [22]3 years ago
3 0

Answer:

26 1/2

Step-by-step explanation:

convert 4 5/12 into 53/12

multiply 53/12 by 6 to get 53/2

turn 53/2 into a mixed number = 26 1/2

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The area of a right triangle is 39.6cm2 , and the base of the triangle is 12in . Which of the following values is the height of
inysia [295]

Answer:

2.598cm

Step-by-step explanation:

Area of a triangle =1/2 * base * Height

Given

ARea = 39.6cm^2

Base= 12in = 2.54 * 12

Base = 30.48cm

Required

Height

Substitute

39.6 = 1/2 * 30.48 * H

39.6 = 15.24 * H

H = 39.6/15.24

H = 2.598cm

Hence the height of the triangle is 2.598cm

8 0
3 years ago
Which of these lines is perpendicular to the line y = 3x + 2?
Morgarella [4.7K]

Answer:

(c)  y=\frac{-1}{3}x+4  will be perpendicular to the line y = 3x+2

Step-by-step explanation:

We have given the the equation of line as y = 3x+2

We know the equation of line as y = mx+c , here m is slope and c is intercept

On comparing with standard equation of line m = 3

We know that slope of perpendicular line is =\frac{-1}{m}

So the slope of the line which is perpendicular to y = 3x+2  will be =\frac{-1}{3}

Now (a) Line is given as y=\frac{1}{3}x+3 its slope is \frac{1}{3} so it will be not perpendicular

(b)  Line is given as y=\frac{1}{3}x+2 its slope is \frac{1}{3} so it will be not perpendicular

(c)  Line is given as y=\frac{-1}{3}x+4 its slope is \frac{-1}{3} so it will be perpendicular to the line y = 3x+2

(d) Line is given as y=3x+\frac{1}{2} its slope is 3 so it will not perpendicular to the line y = 3x+2

3 0
2 years ago
The value of 4 in 34258 is blank times the value of 4 in 47163
anyanavicka [17]
The value of 4 becomes 10 times greater in the second number than the first.
7 0
2 years ago
F is a twice differentiable function that is defined for all reals. The value of f "(x) is given for several values of x in the
nadezda [96]

The correct answer is actually the last one.

The second derivative f''(x) gives us information about the concavity of a function: if f''(x) then the function is concave downwards in that point, whereas if f''(x)>0 then the function is concave upwards in that point.

This already shows why the first option is wrong - if the function was concave downwards for all x, then the second derivate would have been negative for all x, which isn't the case, because we have, for example, f''(8)=5

Also, the second derivative gives no information about specific points of the function. Suppose, in fact, that f(x) passes through the origin, so f(0)=0. Now translate the function upwards, for example. we have that f(x)+k doesn't pass through the origin, but the second derivative is always f''(x). So, the second option is wrong as well.

Now, about the last two. The answer you chose would be correct if the exercise was about the first derivative f'(x). In fact, the first derivative gives information about the increasing or decreasing behaviour of the function - positive and negative derivative, respectively. So, if the first derivative is negative before a certain point and positive after that point. It means that the function is decreasing before that point, and increasing after. So, that point is a relative minimum.

But in this exercise we're dealing with second derivative, so we don't have information about the increasing/decreasing behaviour. Instead, we know that the second derivative is negative before zero - which means that the function is concave downwards before zero - and positive after zero - which means that the function is concave upwards after zero.

A point where the function changes its concavity is called a point of inflection, which is the correct answer.

7 0
3 years ago
Evaluate 2xy when x = -<br> and y = 3.<br> The value of the expression is<br> ]
Volgvan

2(-1/4)(3)

2 * -1/4 = -0.5

-0.5 * 3 = -1.5

-1.5 or -1 1/2

8 0
3 years ago
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