Solve the equation x³ − 5 = 59

Step-by-step explanation:

12x - 6

-12x - 6

-12x + 6

-12x2 + 6x

12x - 6

Option A and E are the correct answer

The only expression equivalent to 12x - 6 is 6(2x-1). Hence first option is correct.

The question asks which expressions are equivalent to 12x - 6. Let's evaluate each given option:

6(2x-1): Distributing the 6 gives 12x - 6, which is equivalent to the original expression.

-6(2x+1): Distributing the -6 gives -12x - 6, which is not equivalent to the original expression.

-6(2x-1): Distributing the -6 gives -12x + 6, which is not equivalent to the original expression.

-6x(2x-1): This expression cannot be simplified to the form of a single term in x and a constant; thus, it's not equivalent.

6x(2-1): Simplifying inside the parentheses first gives 6x, which is not equivalent to the original expression.

Therefore, the only expression equivalent to 12x - 6 is 6(2x-1).

Answer:

The two features present in a plant cell, but not in an animal cell are chloroplasts and a large central vacuole.

Step-by-step explanation:

The two features which are structures found in plant cells but are not present in animal cells are:

There are features that differentiates a plant cell from an animal cell. Two of such features that are unique to plant cells are:

These two plant cell features or structures are absent in an animal cell.

A plant cell and its various organelles/structure is shown in the image attached below.

Therefore, the two features which are structures found in plant cells but are not present in animal cells are:

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Answer: The length is 9.

Step-by-step explanation: 27/3=9

Answer: 72 US FLUID OUNCES

Answer:

The answer is B i think

Hope this helps :D

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Answer:

Step-by-step explanation:

DE = LK        {given that  length of DE & LK are equal}

EF = JK          {given that length of EF & JK are 8 cm}

DF = LJ        { given}

ΔDEF ≅ ΔLKJ   by   SSS congruent  

Answer:

7.1 lbs / ft^3

Step-by-step explanation:

In this question, we are asked to calculate the density of the sphere in the diagram.

Firstly, to calculate the density , we apply a mathematical formula.

Mathematically, density = mass/volume

We have the mass already from the question but we will need to calculate what the volume is.

Mathematically, the volume of a sphere = 4/3 * pi * r^3

From the diagram, we can see that the radius of the sphere is 3 ft. Plugging this into the equation of the volume of a sphere, we have;

4/3 * 22/7 * 3^3

= 4/3 * 22/7 * 27

= 113.143 ft^3

Now, we substitute the volume into the density equation;

Recall, density = mass/volume

From the question, our mass is 800 lbs and from calculations, volume is 113.143 ft^3

Density = 800 lbs/ 113.143 ft^3 = 7.07 lbs/ ft^3 which is approximately 7.1 lbs/ ft^3

Final answer:

The student's question appears to involve a play on words or a riddle, but using standard mathematics, the fourth of twenty is calculated by dividing twenty by four, which equals five.

Explanation:

The question appears to be a puzzle rather than a straightforward mathematical problem. Given the statement that 'five times four is thirty-three' is not mathematically correct (since 5 × 4 = 20), it suggests that there's an error or play on words. The most likely solution for 'what will the fourth of twenty be?' using standard mathematics is 5, because normally one would divide twenty by four to get this result. However, if we are following the same logical pattern as in the incorrect statement 'five times four is thirty-three', we might question whether 'the fourth of twenty' should similarly be an unconventional result. Without more context, we stick with the conventional approach.

9514 1404 393

Answer:

  C.  15

Step-by-step explanation:

The distance formula can be used for this.

  d = √((x2 -x1)² +(y2 -y1)²) = √((12 -0)² +(1 -10)²) = √(144 +81) = √225

  d = 15

The distance between the points is 15 units.

_____

Alternate solution

You may recognize that the slope of the line is -3/4, suggesting that this is some multiple of a 3-4-5 right triangle. That multiple is 9/3 = 12/4 = 3, so the hypotenuse of the triangle is 5×3 = 15 units.

Final answer:

The distance between the points (0,10) and (12,1) is 15 units.

Explanation:

The distance between the points (0,10) and (12,1) can be found using the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the given coordinates, the calculation becomes:

d = sqrt((12 - 0)^2 + (1 - 10)^2)

d = sqrt(12^2 + (-9)^2)

d = sqrt(144 + 81)

d = sqrt(225)

d = 15

Therefore, the distance between the two points is 15 units.

Answer: 821.9 cube meters

Step-by-step explanation:

Hi, to answer this question we have to calculate both rectangular prisms volume:

Volume: Length x width x height

Replacing with the values given:

Large solid volume = 12.4 x 7.8 x9 =870.48 cubic meters

Small solid volume = 3 x 1.8 x 9 =48.6 cubic meters

Next, we have to subtract the smaller solid's volume to the large solid’s volume .

870.48-48.6 = 821.88 = 821.9 cubic meters

Feel free to ask for more if needed or if you did not understand something.

Answer:

the answer is b

Step-by-step explanation:

Answer:

a) 59.87%

Step-by-step explanation:

Given that the mean temperature (μ) = 23.5°C and the standard deviation (σ) is 2 °C.

The z score is used in statistics to measure number of standard deviation by which the raw score is above or below the mean value, It is calculated using the equation:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

The average temperature of the City of Van Nuys is 23 degrees. The z score is

[tex]z=\frac{x-\mu}{\sigma}=\frac{23-23,5}{2} =-0.25[/tex]

P(x > 23) = P(z > -0.25) = 1 - P(z < -0.25) = 1 - 0.4013 = 0.5987 = 59.87%

Answer:

At the time that it is kicked, the ball is on the ground, that is, it's height is 0 feet.

Step-by-step explanation:

The height of the ball after t seconds is given by the following equation:

[tex]h(t) = -2t^{2} + 10t[/tex]

What is the height of the ball at the time it is kicked?

The ball is kicked at t = 0.

So we have to find h(0)

[tex]h(0) = -2*0^{2} + 10*0 = 0[/tex]

At the time that it is kicked, the ball is on the ground, that is, it's height is 0 feet.

Answer:

x = -7

Step-by-step explanation:

Simplifying

5x + 130 = 8x + 151

Reorder the terms:

130 + 5x = 8x + 151

Reorder the terms:

130 + 5x = 151 + 8x

Solving

130 + 5x = 151 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.

130 + 5x + -8x = 151 + 8x + -8x

Combine like terms: 5x + -8x = -3x

130 + -3x = 151 + 8x + -8x

Combine like terms: 8x + -8x = 0

130 + -3x = 151 + 0

130 + -3x = 151

Add '-130' to each side of the equation.

130 + -130 + -3x = 151 + -130

Combine like terms: 130 + -130 = 0

0 + -3x = 151 + -130

-3x = 151 + -130

Combine like terms: 151 + -130 = 21

-3x = 21

Divide each side by '-3'.

x = -7

Simplifying

x = -7

Answer:

height = 6 cm

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex]πr²h ( r is the radius and h the height )

Here V = 100.48 and r = 4, thus

[tex]\frac{1}{3}[/tex]π × 4²h = 100.48

Multiply both sides by 3 to clear the fraction

3.14 × 16h = 301.44 ( divide both sides by 3.14 × 16 )

h = [tex]\frac{301,44}{3.14(16)}[/tex] = 6 cm

Answer:

54pie cm2 is the correct answer                                              

Final answer:

The volume of the larger cylinder is 36 cm².

Explanation:

To find the volume of the larger cylinder, we need to compare the surface areas of the two cylinders. Let's assume that the surface area and volume of the smaller cylinder are represented by SA1 and V1 respectively, and the surface area and volume of the larger cylinder are represented by SA2 and V2 respectively.

Since the cylinders are similar, their surface areas and volumes are proportional. Therefore, we can set up the following ratio: SA1 / SA2 = V1 / V2. Plugging in the given values, we get: 24 / 54 = 16 / V2. Solving for V2, we find that the volume of the larger cylinder is 36 cm².

Answer:

a=9 b=2 c=7 d=9

Step-by-step explanation:

Answer:

Step-by-step explanation:

This translates immediately into n/7 = 9.  We can isolate (find) n by multiplying both sides of this equation by 7, obtaining n = 63.

Or we could guess and check:  if the quotient is 9, we could round that up to 10, obtaining n/7 = 10, or n = approximately 70.

Answer:

Sample Answer: Quotient means the result of division. To use guess and check to solve, you would divide different numbers by 7 until you get 9. The result is 63 ÷ 7 = 9. The quotient of sixty-three and seven is nine.

Step-by-step explanation:

My Answer: Guess and check means you guess different numbers until you get the correct answer. For example, let’s start with the number 60. You will get a decimal if you do that problem, so that’s no the answer. Then you keep guessing. The correct answer is 63. 63 divided by 7 is 9.

Answer:

D. y=25

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

You have to substitute x = 5 into the equation of y :

[tex]y = 5x[/tex]

Let x = 5,

[tex]y = 5(5)[/tex]

[tex]y = 25[/tex]

same as V = pi*3^2*14

========================================================

Work Shown:

V = volume of cylinder

V = (area of circular base)*(height)

V = (pi*r^2)*(h)

V = pi*r^2*h

V = pi*3^2*14 ..... radius 3 is half of diameter 6

We write "3^2" as a shorthand way of saying "3 squared" or "(3) squared".

Answer: This is an easy one, its either 21, 21 and a half, or 22, if not than its at least in the 20s.

Step-by-step explanation:

Answer:

the answer is 8 units so that all i have to say.

The radius of a circle whose equation is (x + 5)^2 + (y - 3)^2 = 4^2 is mathematically given as

r=4 units, Option B is correct

Question Parameters:

a circle whose equation is (x + 5)^2 + (y - 3)^2 = 4^2

Generally, the equation for the circle    is mathematically given as

(x + 5)^2 + (y - 3)^2 = 4^2

Therefore, its standard form of a circle equation is

(x-h)^2+(y-k)^2=r^2

In conclusion, Comparing both equations

r^2=4^2

r=4

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Answer:

A

Step-by-step explanation:

The option that would be recommended is C. taking out a federal loan and attending a state college.

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Answer:

no

Step-by-step explanation:

50 = 6c

Substitute the value in for c and see if the equation is true

50 = 6*4

50 = 24

This is not true so c=4 is not a solution

Answer: 8 and 1/3

Step-by-step explanation:

6 times 8 equal 48

6 times 1/3 equal 2

48 plus 2 equal 50

Final answer:

Michael is drawing cards from a deck with replacement. Since all aces are equally likely to be drawn, we can divide the total number of aces drawn by the number of different aces to estimate that the ace of hearts would likely be drawn 78 times out of the 312 instances of drawing an ace.

Explanation:

When Michael draws an ace from a standard deck of 52 cards, there are 4 aces available (one from each suit: clubs, diamonds, hearts, and spades). If Michael is drawing a card, recording it, and returning it to the deck (which means each draw is an independent event with replacement), the probability of drawing any specific ace, such as the ace of hearts, is the same for each draw.

Since Michael draws an ace 312 times and there are 4 equally likely aces he could draw, we can estimate the number of times he would draw the ace of hearts by dividing the total number of aces drawn by the number of different aces:

Number of times drawing the ace of hearts = Total number of aces drawn ÷ Number of different aces = 312 ÷ 4 = 78.

Therefore, a good estimate for the number of times the ace of hearts was drawn is 78 times.

Answer:

1/20 or 0.05

Step-by-step explanation:

Assuming that all five posters are different, the number of ways to randomly place those posters is given by:

[tex]N=5*4*3*2*1 = 120\ ways[/tex]

If we want the largest to be in the center and the next largest to be on its left, two poster will have a set position and only three could be randomized:

[tex]n=3*2*1*1*1=6\ ways[/tex]

Therefore, the probability is:

[tex]P=\frac{n}{N}=\frac{6}{120} =\frac{1}{20} =0.05[/tex]

The probability is 1/20 or 0.05.

Answer:

-2 is the answer

Step-by-step explanation:

the x-axis is the horizontal line, while the y-axis is the vertical line. and the point is -2

Answer:

-2

Step-by-step explanation:

The y-intercept is where the line crosses the y axis.

Answer:

(x+3)(x+3)

Step-by-step explanation:

1) this polynomial is in the form of ax^2+bx+c

c=9

b=6

a=1

what*what=c(9)

and what+what=b(6)

3 is the answer to both questions:

now substitute "3x" in place of "6"

x^2+3x+3x+9

split in 2 groups:

group a) (x^2+3x)

gcf of group a=x

x(x+3)

group b) (3x+9)

gcf of group b=3

3(x+3)

combine the numbers OUTSIDE the parantheses

so

(x+3)(x+3)

Answer:

(x+3)(x+3)

Step-by-step explanation:

Answer: A. 724

Step-by-step explanation:

Please consider the graph.

We have been given that graph represents the normal distribution of recorded weights, in pounds, of cats at a veterinary clinic.  We are asked to choose the weights, which are within 2 standard deviations of the mean.

We can see from our graph that mean of the weights is 9.5 and standard deviation in 0.5.

The data point that would be below two standard deviation is: [tex]9.5-2\times 0.5[/tex] that is [tex]9.5-1=8.5[/tex].

The data point that would be above two standard deviation is: [tex]9.5+2\times 0.5[/tex] that is [tex]9.5+1=10.5[/tex].

Now we need to check the data points that lie within 8.5 and 10.5.

Upon looking at our given choices, we can see that 8.9, 9.5 and 10.4 pounds lie within 2 standard deviation of the mean.

Therefore, 8.9 lbs, 9.5 lbs and 10.4 lbs are correct choices.

Answer:

8.9, 9.5, 10.4

Step-by-step explanation:

got it right on ed2020

Answer: the answer is 13

Step-by-step explanation:

Mean means to find the average so add them all and divide by 4.