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2 years ago

PLEASE HELP ASAP!!! It is urgent please.

Mathematics

1 answer:

Lubov Fominskaja [6]2 years ago

4 0

Answer:

$Diagonal \ of \ cuboid =\sqrt{ l^2 + b^2 +h^2} = \sqrt{121+25+49} = \sqrt{195}$

option D

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67. The line contains the point (4,0) and is parallel to the line defined by 3x = 2y.

olganol [36]

Answer:

$y=\frac{3}{2} x-6$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

1) Determine the slope of the parallel line

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

$3x = 2y$

Switch the sides

$2y=3x$

Divide both sides by 2 to isolate y

$\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x$

Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{3}{2} x+b$

2) Determine the y-intercept

$y=\frac{3}{2} x+b$

Plug in the given point, (4,0)

$0=\frac{3}{2} (4)+b\\0=6+b$

Subtract both sides by 6

$0-6=6+b-6\\-6=b$

Therefore, -6 is the y-intercept of the line. Plug this into $y=\frac{3}{2} x+b$ as b:

$y=\frac{3}{2} x-6$

I hope this helps!

7 0

2 years ago

If g(3) = 5 and g(-1) = 5, explain why g(x) does not have an inverse.

Alenkinab [10]

g(x) cannot have an inverse because it gives the same output value for two individual input values.

In this case, g(x) is 5 when x is both 3 and -1. Hence, g(x) does not have an inverse.

Let me know if you have any questions, thanks!

4 0

2 years ago

Let h(x)=2x+5, g(x)=8−3x. What is the value of h(g(1.5))?

Anon25 [30]

So your equation is a composite function. It means to plug 1.5 as x into g(x), then the answer you get for that, plug into h(x).

So.

g(1.5)=8-3(1.5)

=8-4.5

=3.5

Then.

H(3.5)=2x+5

=2(3.5)+5

=7+5=12

Your final answer is 12.

6 0

2 years ago

In an experiment, a fair coin is tossed 13 times and the face that appears (H for head or T for tail) for each toss is recorded.

zalisa [80]

Answer:

1) 1 element

2) 13 elements

3) 22 elements

4) 40 elements

Step-by-step explanation:

1) Only one element will have no tails: the event that all the coins are heads.

2) 13 elements will have exactly one tile. Basically you have one element in each position that you can put a tail in.

3) There are ${13 \choose 2} = 78$ elements that have exactly 2 tails. From those elements we have to remove the only element that starts and ends with a tail and in the middle it has heads only and the elements that starts and ends with a head and in the 11 remaining coins there are exactly 2 tails. For the last case, there are ${11 \choose 2} = 55$ possibilities, thus, the total amount of elements with one tile in the border and another one in the middle is 78-55-1 = 22

4) We can have:

A pair at the start/end and another tail in the middle (this includes a triple at the start/end)

One tail at the start/end and a pair in the middle (with heads next to the tail at the start/end)

For the first possibility there are 2 * 11 = 22 possibilities (first decide if the pair starts or ends and then select the remaining tail)

For the second possibility, we have 2*9 = 18 possibilities (first, select if there is a tail at the end or at the start, then put a head next to it and on the other extreme, for the remaining 10 coins, there are 9 possibilities to select 2 cosecutive ones to be tails).

This gives us a total of 18+22 = 40 possibilities.

5 0

2 years ago

A student is assessing the correlation between the number of hours a plant receives sunlight and the helght to which it grows. T

kotykmax [81]

Just use quiz lit and it’ll give you all the answers you need for your answers

5 0

2 years ago