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3 years ago

Can someone help me pls it due In the next two hrs

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

5 0

Answer:

1. More magnets are longer than 2 1/2

2. 10 magnets measure in whole numbers and 5 magnets between 2 whole numbers

3. Because the shortest magnet is 1 inch and the longest magnet is 4 inches.

Step-by-step explanation:

1. There are 7 magnets that are longer than 7 1/2 and only 6 magnets that are shorter than 2 1/2. (The 2 magnets that are exactly 2 1/2 are neither longer nor shorter therefore they do not apply to the question.)

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Question 2 (1 point)

Marrrta [24]

Answer:

acute

Step-by-step explanation:

obtuse is over 90°

acute I less that 90°

and right is exactly 90°

6 0

3 years ago

Determine the axis of symmetry and the vertex of the given function. y = 2x2 − 12x + 21 Axis of symmetry:

grigory [225]

Answer:

Equation of the axis of symmetry is: x = 3

Step-by-step explanation:

The equation

$y=2x^2-12x+21$

is the equation of a parabola, of the form

$y=ax^2+bx+c$ whose vertex is located at the x-coordinate:

$x_{vertex}=\frac{-b}{2\,a}$

Then, for our case the x position of the given parabola, is:

$x_{vertex}=\frac{-b}{2\,a} \\x_{vertex}=\frac{12}{2\,(2)} \\x_{vertex}=3$

Then the equation of the axis of symmetry, which is a vertical line that goes through the vertex, would be given by:

x = 3

8 0

3 years ago

2. A museum has an admission fee of $14 and averages 300 visitors per day. The museum board

dlinn [17]

Answer:

The answer to the questions asked is:

a) The maximum possible income for the museum is $4,840 per day.

b) The increase you must make to obtain the maximum income is $8 per ticket.

c) The income of the museum without increasing the fee is $4200.

Step-by-step explanation:

To solve all the questions asked, we must take into account the provided equation:

R = -10x2 + 160x + 4200

The first question asks for the maximum income, that is, the maximum amount of money that can be obtained by making increases in the rate, despite the loss of people, so you must replace the X in the equation with values until instead of increase decrease:

R = -10 (1) 2 + 160 (1) + 4200 = 4350
R = -10 (2) 2 + 160 (2) + 4200 = 4480
R = -10 (3) 2 + 160 (3) + 4200 = 4590
R = -10 (4) 2 + 160 (4) + 4200 = 4680
R = -10 (5) 2 + 160 (5) + 4200 = 4750
R = -10 (6) 2 + 160 (6) + 4200 = 4800
R = -10 (7) 2 + 160 (7) + 4200 = 4830
R = -10 (8) 2 + 160 (8) + 4200 = 4840
R = -10 (9) 2 + 160 (9) + 4200 = 4830

As you can see, when the increase is $9, the income falls, so the maximum income is $4,840, while it can be seen that it occurs with an increase of $8, which answers the second question.

For the third question, that is, the income of the museum without increasing the fee, you must remember that the variable X is the increase in the fee, therefore, if you want to obtain the income without an increase, it must be given a value of zero to the variable inside the equation, with which we obtain:

R = -10 (0) 2 + 160 (0) + 4200 = 4200

3 0

4 years ago

Rewrite y +2> +(6x –9) to isolate the y-term. Rewrite y +2>2(6x- Helppppp

Ilya [14]

Given:

The inequality is:

$y+2>\dfrac{1}{3}(6x+9)$

To find:

The inequality after isolating the y-term.

Solution:

We have,

$y+2>\dfrac{1}{3}(6x+9)$

On simplification, we get

$y+2>\dfrac{1}{3}(6x)+\dfrac{1}{3}(9)$

$y+2>2x+3$

Subtracting 2 from both sides of the above inequality, we get

$y+2-2>2x+3-2$

$y>2x+1$

Therefore, the required inequality is $y>2x+1$ .

6 0

3 years ago

Please help, I don't understand how to do it

Rasek [7]

Split the composite figure in two
a rectangular prism and a isosceles triangular prism
when u have the figures separated use the formulas for the each

rectangular prism formula- A=2(wl+hl+hw)

isosceles triangular prism formula- a= 2b+ph

add both surface areas to get the answer

5 0

3 years ago