Question 3 (1 point)
.
2x - 3(x + 6) = -3(x - 2)
x =

To simplify the expression (x⁻³ × y² / x⁴ × y⁶) cubed, you need to cube each term in the fraction individually.

To simplify (StartFraction (x⁻³) (y²) Over (x⁴) (y⁶) EndFraction) cubed, you need to cube each term in the fraction individually.

Here is the step-by-step breakdown:

Cube the numerator: x⁻⁹y⁶

Cube the denominator: x¹²y¹⁸

Combine the cubed terms: (x⁻⁹y⁶) / (x¹²y¹⁸)

Answer:

80

Step-by-step explanation:

The sides of a triangle always add up to 180. 80+20+?=180

Answer:

C, 80 degrees

Step-by-step explanation:

Together, all of the interior angles in a triangle add up to 180 degrees. Therefore, the missing angle is the two other angles subtracted from 180 degrees. 180-20-80=80 degrees, or answer choice C. Hope this helps!

The question is:

A cake recipe calls for 550 grams of flour. About how many pounds of flour do you​ need? Use the conversion factors (1 ounce)/(28.4 grams) and (1 pound)/(16 ounces).

Answer:

About 1.2 pounds of flour is needed.

Step-by-step explanation:

Given that the cake recipe calls for 550 grams, we want to determine about how many pounds of flour we need.

This simply means we want to convert 550 grams to pounds.

First, we were given (1 ounce)/(28.4 grams)

This implies that

1/28.4 = x/550 ..............................(1)

Where x is 550 grams in ounce.

Solving (1)

28.4x = 550

=> x = 550/28.4

≈ 19.3662

That is 550 grams is equal to 19.3662 ounce

Next, we are given the ratio (1 pound)/(16 ounce). We then convert 19.3662 ounce to pound

Let y be 19.3662 ounce in pound

=> 1/16 = y/19.3662

16y = 19.3662

y = 19.3662/16

≈ 1.2

That is 19.3662 ounce is equal to 1.2 pounds.

Therefore, 550 grams is equal to 1.2 pounds, and it is the amount of flour needed.

You would need approximately 1.210 pounds of flour for the cake recipe.

To convert grams to pounds, we can use the conversion factor:

1 pound = 16 ounces

And we also have the conversion factor:

1 ounce = 28.4 grams

First, we'll convert grams to ounces, and then ounces to pounds.

Given that the recipe calls for 550 grams of flour, let's calculate the amount in pounds.

Step 1: Convert grams to ounces.

550 grams x (1 ounce / 28.4 grams) = 19.366 ounces

Step 2: Convert ounces to pounds.

19.366 ounces x (1 pound / 16 ounces) = 1.210 pounds

Therefore, you would need approximately 1.210 pounds of flour for the cake recipe.

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Answer:

16

Step-by-step explanation:

You need to work backwards and do the opposite

So, first do subtraction since Melanie added to her collection. SO do the opposite of addition.

17-9=8

Then, since she sold half of her comics, and she is dividing her collect, you multiply 8 with 2.

8 x 2=16

Final answer

16 comics

Answer:

Explanation:

The concrete question and the function or data were omitted.

I found the complete question on the internet. Please, find attached the picture with the complete question

You must complete the  sentence about the yearly rate of change of the bear population, telling whether it grows or shrinks and by what factor.

Thus, the goal is to interpret the rate of change in an exponential model.

The exponential model is:

       [tex]N(t)=2187\cdot \bigg(\dfrac{2}{3}\bigg)^t[/tex]

Let's analyze that function.

When t = 0, (2/3)⁰ = 1 and N(0) = 2,187 × 1 = 2,187

Thus, the population of bears starts with 2,187 individuals.

For t = 1, the population will be N(1) = 2,187 × (2/3).

For t = 2, the population will be N(2) = 2,187 × (2/3)²

And so on, every year the population of bears is multiplied by a factor of 2/3.

Since, 2/3 is less than 1, every year the population will be decreasing (decaying), by a factor of 2/3.

Thus, the answer, i.e. the complete sentence, is:

Every year, the bear population    shrinks    by a factor of    2/3   .

Answer:

shrinks/ 2/3

Step-by-step explanation:

Answer:

Y=-3/5+3

Step-by-step explanation:

You need to move y’all variables to one side except Y. Then divide them by 5 to get rid of the 5 attached to the Y. So then you have Y=Mx+b.

Answer:

a) v=6

b) s= u^2 - v^2 : -2a

Step-by-step explanation:

v^2=u^2+2as

u=12, a=-6, s=9

a)

(12)^2= 12 * 12= 144

v^2=u^2+2as

v^2=(12)^2+ 2*(-6)*9

v^2=144+(-12)*9

v^2=144+(-108)

v^2=36

v=6

b)

v^2=u^2+2as

-2as=u^2 - v^2

s= u^2 - v^2 : -2a

check for s

s= 144 - 36 : -2(-6)

s= 108 : 12

s=9 (equal vs the given)

Formula for the area of a circle:

A = πr²                   [A = area        r = radius]

The radius is [tex]\frac{1}{2}[/tex] (half) the diameter. Since the diameter = 10cm, the radius = 5cm.

You know:

r = 5cm         Substitute/plug this into the equation

A = πr²

A = π(5)²    

A = 25π  ->     A = 25(3.14)

A = 78.5cm²

The area of the circle when the diameter is 10 cm should be [tex]78.5\ cm^2[/tex].

Since the diameter is 10 cm

We know that

The diameter should be

[tex]= \pi r^2\\\\= 3.14\times 5^2\\\\= 25\times 3.14\\[/tex]

= [tex]78.5\ cm^2[/tex]

Hence, The area of the circle when the diameter is 10 cm should be [tex]78.5\ cm^2[/tex].

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To solve this problem, set up a system of equations with x and y representing the number of buttons. If there are 20 Weights of buttons in total, 20 of them weigh 12 grams and none weigh 8 grams.

To solve this problem, we can set up a system of equations. Let x be the number of buttons weighing 12 grams, and y be the number of buttons weighing 8 grams.

We can then write the following equations based on the information given:

x + y = total number of buttons

12x + 8y = total weight of the buttons

Substituting the given values, we have:

x + y = total number of buttons

12x + 8y = 240

From the first equation, we can express y in terms of x:

y = total number of buttons - x

Substituting this into the second equation:

12x + 8(total number of buttons - x) = 240

Simplifying:

12x + 8total number of buttons - 8x = 240

4x + 8total number of buttons = 240

4x = 240 - 8total number of buttons

4x = 8(30 - total number of buttons)

x = 2(30 - total number of buttons)

Since x and y represent the number of buttons, they must be whole numbers.

We can test different values for the total number of buttons to find a solution that satisfies this condition.

For example, if we assume there are 20 buttons in total:

x = 2(30 - 20) = 2(10) = 20

y = 20 - 20 = 0

Therefore, if there are 20 buttons in total, 20 of them weigh 12 grams and none weigh 8 grams.

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The probable question may be:

In a box, there are two types of buttons with different weights. One type of button weighs 12 grams, and the other type weighs 8 grams. If the total weight of the buttons in the box is 240 grams, how many buttons of each type are in the box?

Answer:

Y = 45*p(y) / (1 - p(y))    if I knew what p(y) is, we can find how many yellow marbles there are.   p(y) = probability of choosing yellow.

Step-by-step explanation:

Total marbles =  35 + 10 + yellow

If probability of choosing yellow =p(y) = yellow/Total

p(y) =  Y/(35 + 10 + Y)

Solve for Y,

p(y)*(35 + 10 + Y) = Y

45*p(y) + p(y)*Y = Y

45*p(y) = Y - p(y)*Y

Y = 45*p(y) / (1 - p(y))

To find the number of yellow marbles in the bag, set up an equation using the given probabilities. Simplify the equation and solve for the total number of marbles. Finally, substitute the value of  into the equation to determine the number of yellow marbles.

To solve this problem, we need to find the number of yellow marbles in the bag. Given that there are 35 blue marbles and 10 red marbles, we can subtract these two numbers from the total number of marbles to find the number of yellow marbles. Let's denote the number of yellow marbles as 'y'. We can set up the equation: 35 + 10 + y = total number of marbles. Since the probability of selecting a yellow marble is , we know that the ratio of yellow marbles to the total number of marbles is . This can be written as: y/total number of marbles = . Now, we can solve for 'y'.

By cross multiplying the ratio equation, we have: y = total number of marbles * . Now we can substitute this value of 'y' in the first equation: 35 + 10 + (total number of marbles * ) = total number of marbles. Simplifying this equation, we find: 45 + (total number of marbles * ) = total number of marbles. Rearranging the equation, we have: (total number of marbles * ) - total number of marbles = -45. Factoring out 'total number of marbles' from the left side, we get: total number of marbles * ( - 1) = -45. Dividing both sides of the equation by ( - 1), we find: total number of marbles = 45 / ( - ). Plugging in the value of , we can evaluate the expression: total number of marbles = 45 / ( - ) = - . Therefore, there are - yellow marbles in the bag.

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Answer:

Step-by-step explanation:

subtract 7 on both sides

40-7=33

-11b=33

divide -11 on both sides

b=-3

Answer:

B=-3

Step-by-step explanation:

-11b+7=40

Subtract -7 from both sides

-11b-7=40-7

11b=33

divide by -11

11b/-11=33/-11

-11 and -11 cancel out, leaving you with B=-33/11

thus B=-3

Answer:

33 π

Step-by-step explanation:

Given,

Area of circle = 36 π

Central angle of sector,θ = 11/6 rad

Area of the sector = ?

we know,

A = π r²

36 π = π r²

r = 6

Area of sector

[tex]A = \frac{1}{2} r^2 \theta [/tex]

[tex]A = \frac{1}{2} \times 6^2 \times (\frac{11}{6}\pi)[/tex]

[tex]A = 33\pi \ sqr. units[/tex]

Answer:

Elaine is the outside hitter in Freshman Year

Kelly is the setter in Junior Year

Shannon is the middle blocker in Sophomore Year

Please mark my answer as brainiest

Elaine is the freshman outside hitter, Kelly is the junior setter, and Shannon is the sophomore middle blocker.

Let's analyze the clues one by one:

Based on the given clues, we can conclude that:

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Answer: 3,4,7

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

The Number of Spearmint gum are 27 pieces

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

Let the total number of peppermint gum and spearmint gum in the container is X

Ratio of peppermint gum to spearmint gum=  2 : 3.

Total ratio = 2+ 3=5

we are given that peppermint gum are 18 pieces , so total number of gums  will be calculated as;

Ratio of peppermint/ Total ratio x Total number of gums = Number of peppermint;

2/5 x X= 18

X=(18X 5) / 2 = 45

X=  Total number of gums = 45

Ratio of spearmint/ Total ratio x Total number of gums = Number of spearmint;

3/5 x 45= 27

Therefore Number of Spearmint gum are 27 pieces

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Answer:

•The subset consists of all of the outcomes where the team is made up of one boy and one girl

• the subset consists of all of the outcomes where the team is not made up of all boys and not made up of all girls.

Answer:

A & D

Step-by-step explanation:

KHAN

Answer:

41 and 24

Step-by-step explanation:

x+y=65 -------(A)

x-y=17 -------- (B)

(A)+(B)

(x+y)+(x-y)=65+17

2x=82

x=41

(B)===>

41-y=17

y=41-17

y=24

Given:

The circle has a diameter of 30 cm and a chord of 10 cm is drawn.

Radius of the circle = 15 cm

Half of the chord = 5 cm

We need to determine the distance of chord from the center of the circle.

Distance of chord from the center of the circle:

Let us use the Pythagorean theorem, to find the distance between the center and the chord.

Let d denote the distance between the center and the chord of the circle.

Thus, we get;

[tex]15^2=d^2+5^2[/tex]

[tex]225=d^2+25[/tex]

[tex]200=d^2[/tex]

Taking square root on both sides, we get;

[tex]14.14=d[/tex]

Thus, the distance between the center and the chord of the circle is 14.14 cm.

Hence, Option A is the correct answer.

The chord is 14.14 cm far from the center of circle.

First option is correct.

The perpendicular drawn from center to the chord, is always divide the chord into two equal parts.

Radius of circle =  d/2 = 30/2 = 15 cm

A diagram is attached below, in which distance between center and chord is represented by x .

applying Pythagoras theorem

                  [tex]x=\sqrt{(15)^{2} -5^{2} }=\sqrt{225-25}=\sqrt{200} =14.14 cm[/tex]

Thus, the chord is 14.14 cm far from the center of circle.

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Answer:

y= -4/3x

Step-by-step explanation:

rise over run

up 4, left 3

or

down 4, right 3

Answer:

V = 7776 pi m^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

We need to know the radius

r = d/2 = 36/2 = 18

V = 4/3 pi (18)^3

V = 4/3 * pi *5832

V = 7776 pi

We cannot approximate pi since we want the exact answer

Answer:

7776π cubic meters.

Step-by-step explanation:

Recall the volume formula for a sphere is

V = (4/3) π r^3

r = (1/2)*diameter = (1/2)*36 m = 18 meters

V = (4/3)*π*(18)^3 = 24,429.02447 cubic meters

However the problem wants an exact answer, and not an approximation, therefore I will express the volume in terms of simplified expressions.

V = (4/3)*π*(18)^3 = (4/3)*π * (3*6)^3  =  4 *π * (1/3)*(3^3) *(6^3)

V =  4 *π * (1/3)*(3^3) *(6^3)  = 4*π * 9 * 6^3 = 7776π cubic meters.

Answer:

5

Step-by-step explanation:

(15)(x+3) = (12)(2x) -->

15x + 45 = 24x -->

45 = 9x -->

5 = x

Answer: The customer should buy Giana’s jewelry box.

Step-by-step explanation:

The jewelry boxes are rectangular prisms, in order to find the box that would hold the most amount of jewelry we need to find the volumes of each box.

V= l.w.h

Katherine’s box: 5x5x5= 125

Giana’s box: 10x12x2= 240

Jackson’s box: 10x5x4= 200

Answer:

The mean is 4.5 and the standard deviation is 1.44.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform probability distribution is:

[tex]M = \frac{(a + b)}{2}[/tex]

The standard deviation of the uniform probability distribution is:

[tex]S = \sqrt{\frac{(b-a)^{2}}{12}}[/tex]

Uniformly distributed random variable ranging from 2 to 7.

This means that [tex]a = 2, b = 7[/tex].

So

[tex]M = \frac{(2 + 7)}{2} = 4.5[/tex]

[tex]S = \sqrt{\frac{(b-a)^{2}}{12}} = \sqrt{\frac{(7 - 2)^{2}}{12}} = 1.44[/tex]

The mean is 4.5 and the standard deviation is 1.44.

Answer: he has 22$

Step-by-step explanation:

34-12=22

Answer:

$22

Step-by-step explanation:

$34 total

$12 for the tickets

34-12=22

Jose has 22 dollars to spend on food and games

Answer:

sin ( 2π(270)*t )

Step-by-step explanation:

Solution:-

- The frequency of the hum is denoted as k = 270 Hz.

- The displacement of the hum is modeled by a sinusoidal function.

- The trigonometric modelling of frequency generating systems is given in the following general form:

                               sin ( w*t ) + c

- Where,

              A: The amplitude of displacement e

              w: The angular speed of the hum

              c : The initial condition of displacement.

- Here, we will assume A = 1 and c = 0. The hum starts from time t = 0 seconds.

- The angular speed is the unit of speed that denotes the number of cycles in radians are undergone by the frequency generator device/person in unti time t.

- The angular speed is given by the following relation:

                             w = 2πk

                             w = 2π(270).

- The general model of the hum would be:

                             sin ( 2π(270)*t )

Answer:

(5.5,5)

Step-by-step explanation:

Answer:

The coordinate of the midpoint is (5.5,5)

Step-by-step explanation:

To find the midpoint between two points, find the average of the x coordinates and the midpoint of the y coordinates.

x=(8+3)/2

x=11/2

x=5.5

y=(2+8)/2

y=10/2

y=5

The coordinate of the midpoint is (5.5,5)

Answer:terri

Step-by-step explanation: