In the diagram, the origin is at the center of a cube that has edges 6 units long. The x-, y-, and z-axes are perpendicular to the faces of the cube. Give the coordinates of the corner at point E.

(3, 3, –3)

(3, –3, –3)

(–3, 3, 3)

(–3, –3, 3)

Answer:

400 40

Step-by-step explanation:

Answer:

[tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] is equivalent to  [tex]f = 0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex].

Step-by-step explanation:

Let be [tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex], we transform this into an equivalent expression with sums and differences of logarithms by applying logarithm properties:

1) [tex]\log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] Given.

2) [tex]\log_{4}\left[\left(\frac{m\cdot n}{19} \right)^{0.5}\right][/tex] Definition of square root.

3) [tex]0.5\cdot \log_{4}\left(\frac{m\cdot n}{19} \right)[/tex]   [tex]\log_{a} b^{c} = c\cdot \log_{a} b[/tex]

4) [tex]0.5\cdot (\log_{4}m\cdot n -\log_{4} 19)[/tex]   [tex]\log_{a} \frac{b}{c} = \log_{a} b - \log_{a} c[/tex]

5) [tex]0.5\cdot \log_{4} m\cdot n -0.5\cdot \log_{4} 19[/tex] Distributive property.

6) [tex]0.5\cdot (\log_{4}m + \log_{4}n)-0.5\cdot \log_{4}19[/tex]   [tex]\log_{a} b\cdot c = \log_{a}b +\log_{a} c[/tex]

7) [tex]0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex] Distributive property/Result.

[tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] is equivalent to  [tex]f = 0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex].

Answer:

9.1

Step-by-step explanation:

I think this because it is 9 boxes away from the other points, plus it sloped a bit...

Answer:

9.1

Step-by-step explanation:

Distance=[tex]\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2} }[/tex]

=[tex]\sqrt{(4-3)^{2} +(-5-4)^{2} }[/tex]

=[tex]\sqrt{(1)^{2}+(-9)^{2} }[/tex]

=[tex]\sqrt{1+81}[/tex]

=[tex]\sqrt{82}[/tex]

≈9.1

The total distance he travelled in kilometer is 8.2 km

Distance is the total movement of an object without any regard to direction.

Given:

On Monday he walked = 1, 200, 000 mm

On Tuesday he walked= 2,400 m

On Wednesday he walked = 4.6 km

As, 1mm = 1/100,000

1,200,000 mm = 1.2 Km

and, 1 m =1/1000 km

2400m = 2.4 km

Hence, the total distance he travelled = 1.2+ 2.4 + 4. 6 = 8.2 km

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Answer: g > -8

Step-by-step explanation:

sadmep

Annswer girl

Step-by-step explanation:

just trying to get answers

Answer:

Piecewise functions are functions that behave differently in different regions of the domain.

One example that you may see in your city is the case of the street illumination, such that can be modeled as:

x = time

Suppose that the lights are turned on at a given hour x0 and then turn off at the hour x1, we can define:

f(x) = 0 if x1 < x < x0

f(x) = 1 if x0 ≤ x ≤ x1

Where f(x) represents the intensity of the light at the time x.

Between x1 and x0, the lights are not working, so the illumination that they provide is zero.

Between x0 and x1 the lights are turned on, so the illumination is 1.

Another example can be the accurate description of the velocity of a car as a function of time.

For some pieces, the car will be stopped (maybe in a red light)

For some pieces, the car will be moving slow (maybe there is a lot of traffic)

For some pieces, the car will be moving fast or accelerating (in an empty street).

So we can define this motion as a piecewise function that obviously will depend on how the car moves.

Answer:

288 Miles

Step-by-step explanation:

Solve for x (speed)

5.5x = 264

Divide by 5.5

x = 48

y = 48x

Subsitute 6 hours in for x

y = 48(6)

y = 288

Answer: Allie went 288 miles in 6 hours.

Step-by-step explanation:

First, you must find out how many miles Allie travled in one hour

= 264/5.5

= 48

Next, multiply the quotient by the number of hours to get the answer.

= 48 x 6

= 288

Answer:

5.6

Step-by-step explanation:

Answer is 2/3

Hope this helps

Answer:

The constant of proportionality is 2 it is y=2x

Step-by-step explanation:

Each time the number goes up it goes up by two i hope this helps have a nice day

Answer:

///////////////////

Step-by-step explanation:

Answer:

0-9 gives you 10 possibilites.

10x10x10x10x10=100,000

Step-by-step explanation:

A lottery game called Quinto is played by choosing five numbers each, from 0 through 9,  there are 10 possibilities

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that  lottery game called Quinto is played by choosing five numbers each, from 0 through 9

Therefore, we are asked to find the number of possibilities.

10 x 10 x 10 x 10 x 10

=100,000

Thus, there are 100,000 number

This means that from 0 through 9 there are 10 possibilities.

Hence, A lottery game called Quinto is played by choosing five numbers each, from 0 through 9,  there are 10 possibilities

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that's the answer. good luck

Step-by-step explanation:

Hope it helps man .................

Answer:

i would say a but i could be wrong

Step-by-step explanation:

Simple answer.

You will have to replace a, with the given numbers.

For the 1st one)

70-25² since a=25. 70-625=-55

2nd)

70-1²=70-1=69

3d)

70-10²=70-100=-30

Hope this helped.

Answer:

6

Step-by-step explanation:

A way to answer these questions like I usually do is to subtract the result by the number you already know, like this;    10-4=6, so 6 would be what X equals, or you can just take the long way and keep guessing what the answer would be and keep doing the problems, but that would be very time consuming so I would recommend just doing the subtraction method!

Hope this helps!

Answer:

x = 6

Step-by-step explanation:

x + 4  = 10

=> x = 10 - 4

=> x = 6

Answer:

took me time to try and answer your question hope it proves helpful

Answer:

We can check this two ways: distributing the -0.5, and plugging in a number for x.

First, we can check this by distributing the -0.5.  Our equation becomes:

-1.5x -2.5 = -1.5x + 2.5

Clearly, this is not true.  We can show this one more time by plugging in a number for x.  I will use 2.

Now, we evaluate both sides and see if they are equal.

-3 - 2.5 = -3 + 2.5

-5.5 = 0.5

Clearly, this is not true.  These expressions are not equivalent.

Step-by-step explanation:

Answer:

Step-by-step explanation:   Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.

Answer:

......................................

Answer:

1) 8,388,608 grains of wheat.

2) 16,777,215 grains of wheat.

3) 239,674.5 pounds.

Step-by-step explanation:

Question 1)

We know that on the first square, there is 1 grain of wheat.

On the second, 2 grains of wheat.

On the third, 4 grains of wheat.

And on the fourth, 8 grains of wheat.

Therefore, we have a geometrically increasing sequence. It looks like:

1, 2, 4, 8...

Therefore, to find the number of grains on the 24th square, we can write an explicit formula.

The standard form for the explicit formula for a geometric sequence is:

[tex]x_n=a(r)^{n-1}[/tex]

Where a is the initial amount, r is the common ratio, and n is the nth term (starting from 1).

We know that the initial term a is 1 because there’s one grain of wheat on the first square.

And the common ratio will be 2 because each square has double the amount of the previous square.

So, substitute 1 for a and 2 for r. This yields:

[tex]x_n=1(2)^{n-1}\\[/tex]

We can simplify this:

[tex]x_n=2^{n-1}[/tex]

So, to find the amount of wheat on the 24th square, we simply need to substitute 24 for n and evaluate. So:

[tex]x_{24}=2^{24-1}=2^{23}[/tex]

Evaluate. Use a calculator:

[tex]x_{24}=8,388,608[/tex]

Therefore, on the 24th square, there are 8,388,608 grains of wheat.

Question 2.1)

We want to find the total number of grains of wheat on the board at this time.

In other words, we want to find the sum of our geometric sequence when n is 24.

The formula for the sum of a geometric series is:

[tex]S_n=\frac{a(r^n-1)}{r-1}[/tex]

Where rⁿ is the value of the number of terms n, r is the common ratio, and a is the initial term.

We want to find the sum after 24 times. So, n is 24.

So, substitute 24 for n, 2 for r, and 1 for a. This yields:

[tex]S_{24}=\frac{(1)(2^{24}-1)}{2-1}[/tex]

Evaluate. Use a calculator:

[tex]S_{24}=16, 777, 215[/tex]

Therefore, the total sum of the number of grains of wheat at the board at the 24th square is 16,777,215.

Question 2.2)

And to find the weight, we will just have to multiply our total amount by 1/7000. So:

[tex]W=16777215(\frac{1}{70})[/tex]

Use a calculator:

[tex]W=239,674.5\text{ lbs}[/tex]

So, the total weight is 239,674.5 pounds.

Answer:

$1673

Step-by-step explanation:

$900+$290+$55+$30+$70+$145+$87+$40+$56=$1673

Answer:

im guessing 35mph

Step-by-step explanation:

Answer:

30 mph and 40 mph

Step-by-step explanation:

It is the same with the speed and water.

Answer:

it can grow .125 inches an hour

Step-by-step explanation:

if thats not what u were looking for commet it and ill try to help more

Answer:

.125 inches per hour

Step-by-step explanation:

you divide .25 by 24, since there are 24 hours in a day and get .0104.... and then you multiply that by 12, since there are 12 inches in a foot and get .125 inches per hour.

Answer:

0.712 cents per pound

Step-by-step explanation:

Since we are given the exact amount of each ingredient as well as the price for that amount then we simply need to calculate how much each pound of the confetti actually costs. We do this by adding together all of the pound of all of the ingredients and then adding together all of the costs. Lastly, we divide the cost by the total amount of pounds to find the cost per pound of the confetti like so...

3lbs. + 5lbs. + 3lbs. = 11 lbs.

$2.46 + $3.05 + $2.33 = $7.84

$7.84 / 11 lbs. = 0.712 cents per pound

Therefore, the cost per pound of the confetti is 0.712 cents per pound

Answer:

There are 12 left-handed players in the league

Step-by-step explanation:

Let us solve the problem

∵ A local little league has a total of 60 players

∵ 20% of them are left-handed

→ Find 20% of 60

∴ The number of left-handed players = 20% × 60

→ Change 20% to a decimal

∵ 20% = [tex]\frac{20}{100}[/tex] = 0.20

∴ The number of left-handed players = 0.20 × 60

∴ The number of left-handed players = 12

∴ There are 12 left-handed players in the league