Which is a diagonal through the interior of the cube?

BE
CF
DG
GF​

Answer:

2x⁵ + x⁴ - x³ + 6x² + 3x - 3

Step-by-step explanation:

Given :

Finding (f × g)(x) :

Using a system of equations, it is found that they expect to sell 175 adult tickets and 350 student tickets.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

They expect that twice as many students as adults will attend, hence:

s = 2a.

Their goal is to earn $1,500 from ticket sales, hence:

10a + 5s = 1500.

10a + 5(2a) = 1500.

20a = 1500.

a = 1500/20.

a = 175.

s = 2a = 2 x 175 = 350.

They expect to sell 175 adult tickets and 350 student tickets.

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Answer:

B

Step-by-step explanation:

surface area = area of base + area of lateral faces

Area of base:

A = lw

A = 4(4)

A = 16

Area of Lateral faces:

A = 1/2 bh

A = 1/2(5)(4)

A = 1/2(20)

A = 10

There are for lateral faces.

s = 16 + 10 + 10 + 10 + 10

Answer:

  33°

Step-by-step explanation:

Where a transversal crosses parallel lines at right angles, all of the angles at their points of intersection are right angles.

__

Angles at U are right angles, congruent to ∠UXZ. So, acute angle UXW in right triangle UXW is the complement of acute angle UWX:

  ∠UXW = 90° -57° = 33°

The probability that the first two songs played are slow songs is approximately 0.622 or 62.2%.

To calculate the probability that the first two songs played are slow songs, we need to consider the total number of ways the first two songs can be selected and the number of ways to choose two slow songs out of the eight available.

Given:

Total number of songs = 10

Number of slow songs = 8

Step 1: Calculate the total number of ways to choose two songs out of ten (without replacement), which is represented by "10C2" (combinations of 10 things taken 2 at a time):

10C2 = (10 * 9) / (2 * 1) = 45

Step 2: Calculate the number of ways to choose two slow songs out of eight:

8C2 = (8 * 7) / (2 * 1) = 28

Step 3: Find the probability that the first two songs played are slow songs by dividing the number of favorable outcomes (choosing two slow songs) by the total number of possible outcomes (choosing any two songs from the CD):

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 28 / 45 ≈ 0.622

So, the probability that the first two songs played are slow songs is approximately 0.622 or 62.2%.

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Step-by-step explanation:

that kind of wording is always misleading.

please give my regards and comments to your teacher.

a square root has ALWAYS 2 solutions : a positive AND a negative one.

in that sense the negative solution to a square root is NOT an extraneous solution.

only any value of x < -10 (to make the argument of the square root negative) as solution would be extraneous.

so, if your teacher wants to say that only the positive solutions of a square root are allowed, it has to be said as an extra definition or by applying the "+" sign to the square root.

so,

x + 4 = sqrt(x + 10)

since the 2 solutions are already given to us, we only need to use them in the equation and see what happens.

x = -1

-1 + 4 = sqrt(-1 + 10)

3 = sqrt(9) = 3 (actually, it is ±3)

so, x = -1 is a real solution.

x = -6

-6 + 4 = sqrt(-6 + 10)

-2 = sqrt(4) = 2 (actually, it is ±2)

so, based on your teacher's expectation of only positive results of the square root (even though it was not stated),

x = -6 is an extraneous solution.

therefore, the third answer (c) is the "correct" answer.

but actually, formally, the second answer (b) is the truly correct answer.

Answer: 3 hours

Step-by-step explanation:

Bottle = 3.6 liters / 3600 milliliters

Rate = 20 ml a minute

3600 / 20 = 180 minutes

60 minutes = 1 hour

180 / 60 = 3 hours

Answer:

V = 2143.57

Step-by-step explanation:

To find the volume of a sphere you need to use this formula:

[tex]V = \frac{4}{3}\pi r^{3}[/tex]

r = radius

Solve:

You need the radius from the diameter. Divide 16/2 which is

8.

[tex]V = \frac{4}{3}(3.14) 8^{3}[/tex]

V = 2143.57

Answer:

hmmm the mass are the numbers of the up and volume of the bottom

Step-by-step explanation:

answer: 15

steps:

i means √-1

but in this problem treat

i like x

(7-i) + (5 + 3i) - (-3 + 2i) =

(7-i) + (5 + 3i) +3 - 2i

7-i + 5 + 3i +3 - 2i =

7-i + 5 + 3i +3 - 2i

7+5+3-i+3i-2i

7+5+3+2i-2i

7+5+3 =

15

Answer:

y = -3/2x + 8

Step-by-step explanation:

Slope: y2 - y1 / x2 - x1

= 5-2 / 2-4

= -2/3

Y intercept is 8

Answer:

This app is very good,it help us do our homework.and we make a good passed.

Answer:

only two brother ok bye

Answer:

2 cups

Step-by-step explanation:

Formula: divide the volume value by 16

so its 32 divided by 16

Answer:

1) As it is the coeficient of x² is 1, we need to find two numbers whose Sum S(x)=3 and the same numbers whose product is 2, P(x)= 2

S(x) = (  ) + (  ) =3

P(x) = (   )  *  (   ) =2

S(x) = ( 2 ) + ( 1 ) =3

P(x) = (  2 )  *  ( 1  ) =2

These numbers in bold will be coeficients of x.

Rewrite the Trinomial x²+ 3x +2 as x² +2x+1x+2

So x²+3x+2 =x²+2x+1x+2

x² +2x+x+2   Put the x in evidence

x(x+2)+1(x+2)  Find the Maximum Common Divider

(x+1)(x+2)

2) x²+x-6=0

Applying the same procedure. Which two integer number whose sum is 1 and whose Product is -6?

S(x) = ( 3  ) + ( -2  ) =1

P(x) = ( 3  )  * ( -2  ) =-6

Rewrite

x²+x-6

x²+3x-2x-6      Group them

x(x+3)-2(x+3)   Common Term

(x+3)(x-2)

3) Since the a coeficient is ≠ 1, a little adjustment must be made on our algorithm for -2x²+4x+30=0

Firstly multiply a*c, in this case -2 * 30 = -60

Which two numbers multiplied by themselves will turn out to be -60 and whose sum is -60? Since we're working with integers factoring out may be very helpful.

P(x)=  ( 10  )  *   ( - 6 )  = -60

S(x) = (  10 )  +  (  -6 )  = 4

Rewriting

-2x²+10x-6x+30   Group them

2x(x+5) -6(x+5)

(2x-6)(x+5)   Inserting the -1 to finally adjust

-1(2x-6)(x+5)

4) Explanation is the same principle as a≠1

3x²+4x-4=0

P(x) = ( 6  )  *  (-2  ) = -12

S(x) = (  6 ) +  ( -2  )  = 4

3x²+4x-4 = 3x²+6x-2x-4

3x²+6x -2x+4

3x(x+2)-2(x-2)

(3x-2)(x+2)

The other ones are just applications of these, above.

Step-by-step explanation:

Answer:

y = -2x

Step-by-step explanation:

From the figure, the given line passes through the points (0, 0) and (-4, 8).

Recall that the equation of a straight line is given by

Thus, the equation of the given figure is given by

-4y = 8x

Therefore, the answer is y = -2x.

Answer:

You can't answer this because there isn't a regular x value, there is only a x squared

Step-by-step explanation:

[tex]~~~~~~x^2 +9 = 0\\\\\implies x^2 = -9\\\\\implies x = \pm\sqrt{-9}\\\\\implies x=\pm 3i\\\\\text{Which is not real, so the given expression can't be factored for} ~x \in \mathbb{R}.[/tex]

Answer:

Discus, Hurdles, Long jump, and 100m

Step-by-step explanation:

Answer:

then

x2-4x+3=x-5

or,x2-4x-x= -5-3

or,x2-5x+8=0

Answer:

x^2 + 11x + k = 0

(-4) ^2 + 11 (-4) + k = 0

16 - 44 + k = 0

-28 + k = 0

K = 28

Hope Helpful ~

The midpoint approximation of the area under the curve f(x) = 2x(x-4)(x-8) over the interval [0, 4] with 4 subintervals is 132.

The value of f(1/2) will be:

= 2(1/2)(1/2 - 4)(1/2 - 8)

= 105/4

The value of f(3/2) will be:

= 2(3/2)(3/2 - 4)(3/2 - 8)

= 195/4

The value of f(5/2) will be:

= 2(5/2)(5/2 - 4)(5/2 - 8)

= 165/4

The value of f(7/2) will be:

= 2(7/2)(7/2 - 4(7/2 - 8)

= 63/4

Therefore, the midpoint approximation will be:

= 1/4(105 + 195 + 165 + 63)

= 132

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Volume of a Rectangular Prism = length x width x height

Length = 4

Width = 2

Height = a

Volume = 7.2

7.2 = 4 x 2 x a

7.2 = 8 x a

a = 0.9

Answer: a = 0.9

Hope this helps!

Answer:

a = 0.9 cm

Step-by-step explanation:

Volume of a rectangular prism: L*W*H

Substitute the values above into the formula:

V = L*W*H

7.2 = 4*2*a

7.2 = 8a

/8     /8

0.9 = a

Therefore, the value of a is 0.9 cm.

Hope this helps!

Answer:

[tex]3x^2y[/tex]

Step-by-step explanation:

The cube root of 27 is 3.

With indices, cube rooting them is the equivalent of multiplying by 1/3 so:

[tex]x^2y[/tex].

Put these 2 things together and you get:

[tex]3x^2y[/tex]

nice. are they filament lightbulbs or fluorecent lightbulbs

Answer:

Part A : $6.23

Part B : $6.48

Step-by-step explanation:

Let's apply the Simple Interest Formula, which is :

Simple Interest = Principal Amount x Interest rate x Time Period

In one year :

In 2 years :

Answer:

h = 5 :)

Step-by-step explanation:

Nick has planted 20 flowers and can plant 7 flowers an hour, Rachel planted 5 flowers and can plant 10 flowers an hour.

f = 7h + 20

f = 10h + 5

f = 7(1) + 20 = 27

f = 10(1) + 5 = 15

(Not this one)

f = 7(2) + 20 = 34

f = 10(2) + 5 = 25

(nope..)

f = 7(3) + 20 = 41

f = 10(3) + 5 = 35

(nope!)

f = 7(4) + 20 = 48

f = 10(4) + 5 = 45

(close, but no)

f = 7(5) + 20 = 55

f = 10(5) + 5 = 55

(Yes!)

Answer:

f'(x) = 2x - 20

Step-by-step explanation:

f(x) = 1/2 x + 10

Switch x and y.

y = 1/2 x + 10

Solve for y by itself.

x = 1/2 y + 10

x - 10 = 1/2 y

y = 2 * (x - 10)

f'(x) = 2x - 20

Based on the alternate interior angles theorem, the value marked b is calculated as: 190°

The theorem states that two alternate interior angles are always congruent to each other.

The measure of angle b based on the alternate interior angles theorem would be:

m∠b = 50 + (320 - 180)

m∠b = 190°

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