Rewrite this polynomial in terms of its simplest factors using the appropriate method: x3 + x2 − 6x.

Answer:72.

Step-by-step explanation:

There are three competitrs, one winner, four people in all. multiply four by 18,and you have seventy two

Answer:

72

Step-by-step explanation:

Answer:

the answer is 118

Step-by-step explanation:

since one pound is equal to 16 ounces you just convert

Answer: D =118 ounces

Step-by-step explanation:There is 6 pounds plus the the other pound then your left with 22-16=6 7 pounds times 16 112+6=118

The product of √3 and √2 is √6, which is an irrational number. Thus, the expression represents the product of two irrational numbers resulting in an irrational number. The correct answer is option B.

To solve the question about the expression √3 · √2, we need to consider both the nature of the numbers involved and the result of their multiplication.

First, know that both √3 and √2 are irrational numbers. An irrational number cannot be expressed as a simple fraction, which is the case for both of these numbers.

When multiplying two irrational numbers, the result can be rational or irrational depending on the values involved. However, in this case:

Since √6 is not a perfect square and cannot be simplified to a rational number, it is also irrational.

Therefore, the correct answer is: B. It represents the product of two irrational numbers and is equivalent to an irrational number.

Complete Question:

Which of the following is true about the expression √(3)· √(2) ?

A It represents the product of two irrational numbers and is equivalent to a rational number.

B It represents the product of two irrational numbers and is equivalent to an irrational number

C. It represents the product of two rational numbers and is equivalent to a rational number.

D. It represents the product of two rational numbers and is equivalent to an irrational number

Answer:

B. Commutative Property

Step-by-step explanation:

A. Distributive property :

for example we take 256 × 1008

256 × 1008

256 ×(1000 +8)

(256 × 1000) + (256 × 8)

256000 + 2064

Answer : 258064

Distributive is distributing a number that contains 0's to make it easier for one self

B. Associative Property of Addition :

for example (230 + 125) + (390 + 460)

if we change it like this or in any order than particularly changes the grouping

(230 + 460) + (390 + 125)

D. Associative Property of Multiplication

(230 × 125) × (390 × 460)

it's the same as the previous example just in Multiplication

The equation demonstrates the commutative property of addition, which states that the order of addition does not affect the sum. Hence option C is the answer.

The equation a + (b + 7) = (b + 7) + a is an example of the commutative property of addition. This property states that the order in which two numbers are added does not change the sum.

In other words, for any numbers a and b, the equation A+B = B+A holds true. This principle applies to ordinary numbers; for example, adding 2 + 3 will give the same result as adding 3 + 2.

Answer:

Part A) The radius of the cylinder is [tex]r=\sqrt{\frac{125}{3\pi}}\ cm[/tex]

Part B) The height of the 500 ml mark is [tex]12\ cm[/tex]

Part C) The height of the 250 ml mark is [tex]6\ cm[/tex]

Step-by-step explanation:

Part A) What is the radius of the cylinder?

we know that

The volume of a cylinder is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]V=1\ l=1,000\ ml=1,000\ cm^{3}[/tex]

[tex]h=24\ cm[/tex]

substitute and solve for r

[tex]1,000=\pi r^{2} (24)[/tex]

[tex]r^{2}=\frac{1,000}{24\pi}[/tex]

[tex]r=\sqrt{\frac{1,000}{24\pi}}\ cm[/tex]

simplify

[tex]r=\sqrt{\frac{125}{3\pi}}\ cm[/tex]

Part B) What is the height of the 500 ml mark?

using proportion

[tex]\frac{24}{1,000}\frac{cm}{ml}=\frac{x}{500}\frac{cm}{ml}\\ \\x=500*24/1,000\\\\x=12\ cm[/tex]

Part C) What is the height of the 250 ml mark?

using proportion

[tex]\frac{24}{1,000}\frac{cm}{ml}=\frac{x}{250}\frac{cm}{ml}\\ \\x=250*24/1,000\\\\x=6\ cm[/tex]

Final answer:

Explanation of finding cylinder radius, heights at 500ml and 250ml marks in a graduated cylinder.

Explanation:

A liter is equal to 1000 milliliters (mL) or cubic centimeters (cm³).

To find the radius of the cylinder:

Use the formula for the volume of a cylinder: V = πr²h

Substitute the known volume (1000 mL or cm³) and height (24 cm) to find the radius.

Height at the 500ml mark: Half the height of the cylinder, so 12 cm. Height at the 250ml mark: One-fourth the height of the cylinder, so 6 cm.

Answer: The slope is 1

Step-by-step explanation: Rise(how many time u go up) -over- Run (how many times u go over)

Answer:

The slope is -1.16 with 6 repeating If rounded to nearest whole number Will simply be -1

Step-by-step explanation:

m = Y2-Y1/X2-X1  is what you use to find the slope

1) Identify the points

(-4,4) and (2,-3) are the points

2) plug it into the formula for slope

-3 - 4 =  -7 for the Y value

2 - (-4) = 6 For the X value 2 Multiplying 2 negative sign give you a positive.

3) Divide

-7/6 = -1.16 with 6 repeating  Rounded to the nearest whole number is -1

Hopes this help!

Answer:

Brenden colored more.

Explanation:

1

6

,

1

4

=

4

1

24

6

,

6

1

24

4

∴

1

4

>

1

6

Wouldn’t it be 1/25 because you just multiply

Answer:

The students prefer Math 60%, to Science 40%  

Step-by-step explanation:

15/25= 3/5= 5 is then divided into 3 to get the per cent= 60%

Answer:

This may be misleading because it leaves room for doubt.

Step-by-step explanation:

If they're only saying that 80% use the toothpaste, that is saying that there is 20% who don't like it.

Final answer:

A commercial claiming "80% of dentists use this toothpaste" may be misleading due to lack of context, potential selection bias, and vagueness surrounding the term 'use.' Historical instances, like deceptive advertising by Colgate-Palmolive in the 1950s, alert consumers to be cautious of such claims.

Explanation:

A commercial claiming that "80% of dentists use this toothpaste" might be misleading because it does not provide a full context. Without additional information, such a statement can create false impressions. For instance, the sample size could be too small or not representative of the general population of dentists. The selection criteria for the dentists might be biased towards those who prefer the product or are somehow affiliated with the toothpaste's manufacturer. Furthermore, the term "use" is vague and could simply mean the dentists have tried the product rather than regularly using it. It is also important to question whether dentists recommend the toothpaste to their patients or if their usage is based on personal preference only.

As history has shown with the deceptive advertising practices of the 1950s, like those of Colgate-Palmolive with their Rapid Shave product, companies have sometimes engaged in advertising that misrepresented the effectiveness of their products. Therefore, it's essential for consumers to be wary of such claims and seek more information before making a purchase decision based on such endorsements.

the range is the x values. so the answer would be c

C is the only reasonable choice as the other don’t add up the 50

The solution set of the given linear equation in one variable  x + 25 = 50 is 25.

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

According to the given question.

We have a linear equation in one variable

[tex]x+25 = 50[/tex]

Solve the above equation for x.

[tex]\implies x + 25 = 50\\\implies x = 50 -25\\\implies x = 25[/tex]

Therefore, the solution set of the given linear equation in one variable  x + 25 = 50 is 25.

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Answer:

right

Step-by-step explanation:

You would move it towards the right because that adds a place value while moving it to the left takes away a place value.

When you multiply a number by powers of 10, the decimal point moves to the right as many places as there are zeros in the multiplier. For example, multiplying 1.2 by 10 gives 12, because the decimal point moves one place to the right.

In mathematics, when you multiply a number by 10, 100, 1,000, and so forth (powers of 10), you move the decimal point to the right as many places as there are zeros in the multiplier. This is because you are increasing the value of the number by a factor of 10 for each move to the right.

For instance, if you multiply 1.2 by 10, the result is 12. The decimal point has moved one place to the right because there is one zero in 10. If you multiply 1.2 by 1,000, the result is 1,200. The decimal point has moved three places to the right because there are three zeros in 1,000.

This understanding makes it easier to handle multiplication of numbers by powers of 10. But remember, this only applies when multiplying. When dividing, the decimal point moves to the left.

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Answer:

(-1 + √2) and (-1 - √2)  

Step-by-step explanation:

Given in the question the equation

y = x² + 2x - 1

To find the x-intercept, substitute in 0 for y

0 = x² + 2x - 1

To find value of x use quadratic equation

x = -b ± √b²-4ac / 2a

  here a = 1

           b = 2

           c = -1

x1 = -2 + √2²-4(1)(-1) / 2(1)

   = -2 + 2√2 / 2

   = -1 + √2  

x2 = -2 - √2²-4(1)(-1) / 2(-1)

   = -2 - 2√2 / -2

   = -1 - √2  

The measure of side length x to the nearest tenth is approximately 2879.4 meters.

The figure in the image is a right triangle.

From the figure;

Angle θ is the complement of the given angle.

Ange θ = 90 - 10 = 80 degrees

Adjacent to angle θ = 500 m

Hypotenuse = x

To solve for the hypotenuse of the right triangle, we use the trigonometric ratio:

Note that;

cosine = adjacent / hypotenuse

Hence;

cos( θ ) = adjacent / hypotenuse

Plug in the values:

cos( 80 ) = 500 / x

Solve for x:

x × cos( 80 ) = 500

x = 500 / cos( 80 )

x = 2879.4 m

Therefore, the value of x is 2879.4 meters.

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if the given point satisfies this equation then it would be its solution

(-1)=2(5)-11

-1=10-1

-1=-1

lHS=RHS

Hence (/,-1) is the solution of y=2x-11

There are many methods of doing this. This one finds the median; however, instead of halving, you can use quarters instead.

First order the data, ascendingly:

10, 17, 18, 18, 18, 20, 20, 25, 25, 30, 30

Find the median:

For an even number of values: The number of values / 2

For an odd number of values: The number of values + 1 / 2

11 is odd.

11 + 1 / 2

12 / 2 = 6

The median is at the 6th position.

10, 17, 18, 18, 18, 20, 20, 25, 25, 30, 30

The median is 20.

Other method:

You don't need this step.

Using the values lower than the median, exclusive, find the median of the lower values;

For an odd number of values: The number of values + 1 / 2

10, 17, 18, 18, 18

5 + 1 / 2 = 6 / 2 = 3

The median of the lower values is at position 3.

This is the lower quartile.

10, 17, 18, 18, 18

Other method:

For an odd number of values: The number of values + 1 / 4

11 + 1 / 4 = 12 / 4 = 3

10, 17, 18, 18, 18, 20, 20, 25, 25, 30, 30

Using the values greater than the median, exclusive, find the median:

For an odd number of values: The number of values + 1 / 2

20, 25, 25, 30, 30

5 + 1 / 2 = 6 / 2 = 3

The median of the upper values is at position 3.

20, 25, 25, 30, 30

This is 25.

This is the upper quartile.

Other method:

For an odd number of values: (The number of values + 1 / 4) * 3

(11 + 1 / 4) * 3 = (12 / 4)  * 3 = 3 * 3 = 9

10, 17, 18, 18, 18, 20, 20, 25, 25, 30, 30

Your interquartile range is 3 - 25

25 - 3 = 21

Answer:

a=11,b=7

Step-by-step explanation:

To get to the result we firs multiply the figures on the left hand side.

multiplication of each term with its similar term is shown:

5×-4=-20

x⁷ₓx⁴=x¹¹. Here we add the powers because we are multiplying indices to the same base.

y²ₓ y⁵= y⁷

Thus the correct answer is a=11 and b=7

Answer:

[tex]a=11,b=7[/tex]

Step-by-step explanation:

The given equation is

[tex](5x^7y^2)(-4x^4y^5)=-20x^ay^b[/tex]

Recall that [tex]a^m\times a^n =a^{m+n}[/tex]

We simplify the left hand side to obtain;

[tex]-20x^{7+4}y^{2+5}=-20x^ay^b[/tex]

This implies that;

[tex]-20x^{11}y^{7}=-20x^ay^b[/tex]

Comparing exponents, we have

a=11,b=7

The first choice is correct.

Step-by-step explanation:

Let kate age be x

and Her brother age be x - 10

according to equation

x + 3 = 2(x-10+3)

x + 3 = 2x - 14

2x - x = 14 + 3

x = 17

Therefore ;

Kate's present age = 17

Her brother's present age = 17-10 = 7

Answer:

last one maybe

Step-by-step explanation:

A and A' does not mirror the image with reference to the given Line.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given Two cartesian planes and we need to calculate if Points A and A' are mirror images with respect to the given reference line,

For graph 1,

Since the Given line is horizontal the normal distance between Point A and point A' is observable,

In our case,

Distance from point A to the line = Distance from A' to the line = 1 unit.

For graph 2,

Since the Given line is horizontal the normal distance between Point A and point A' is observable,

In our case,

Distance from point A to the line = 6 units

Distance from A' to the line = 3 units

Thus, A and A' does not mirror the image with reference to the given Line.

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Answer:   [tex]\bold{b)\quad y=\dfrac{log_4-9}{2}}[/tex]

Step-by-step explanation:

Inverse is when you swap the x's and y's and solve for y.

[tex]y=4^{2x+9}\\\\\text{Swap the x's and y's:}\\x=4^{2y+9}\\\\\text{Apply }log_4\text{ to both sides:}\\log_4x=log_44^{2y+9}\\\\log_44\text{ cancels out:}\\log_4x=2y+9\\\\\text{Subtract 9 from both sides:}\\log_4x-9=2y\\\\\text{Divide both sides by 2:}\\\dfrac{log_4x-9}{2}=y[/tex]

Answer:

1, 9 and 12

Step-by-step explanation:

55

(f ○ g )(2) = f(g(2) ← from table g(2) = 3, thus

f(g(2)) = f(3) = 1 ← from table f(3) = 1

57

(g ○ f )(3) = g(f(3)) = g(1) = 9

58

(g ○ f )(6) = g(f(6)) = g(9) = 12

59

(f ○ f)(4) = f(f(4)) = f(3) = 1

They will have $16.75 left.

Answer:

The volume of the figure is [tex]\frac{l^{3}}{3}[\frac{1}{2}\pi-1]\ units^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the figure is equal to the volume of the cone minus the volume of the square pyramid

step 1

Find the volume of the cone

The volume of the cone is equal to

[tex]V=\frac{1}{3}\pi r^{2} h[/tex]

we have

[tex]r=l\frac{\sqrt{2}}{2}\ units[/tex]

[tex]h=l\ units[/tex]

substitute

[tex]V=\frac{1}{3}\pi (l\frac{\sqrt{2}}{2})^{2}l[/tex]

[tex]V=\frac{1}{3}\pi (\frac{l^{3}}{2} )[/tex]

[tex]V=\frac{1}{6}\pi (l^{3})\ units^{3}[/tex]

step 2

Find the volume of the square pyramid

[tex]V=\frac{1}{3}Bh[/tex]

we have

[tex]B=l^{2}\ units^{2}[/tex]

[tex]h=l\ units[/tex]

substitute

[tex]V=\frac{1}{3}(l^{2})l[/tex]

[tex]V=\frac{1}{3}(l^{3})\ units^{3}[/tex]

step 3

Find the difference

[tex]\frac{1}{6}\pi (l^{3})-\frac{1}{3}(l^{3})=\frac{l^{3}}{3}[\frac{1}{2}\pi-1]\ units^{3}[/tex]

Answer:

Let's solve your equation step-by-step.

√x+3=5

Step 1: Add -3 to both sides.

√x+3+−3=5+−3

√x=2

Step 2: Solve Square Root.

√x=2

x=22(Square both sides)

x=4

Check answers. (Plug them in to make sure they work.)

x=4(Works in original equation)

Answer:

x=4

Answer:

sometimes

sometimes

sometimes

Tina's mum and Vida's mum cooked a total of 70 dishes together by adding the 50 dishes cooked by Tina's mum to the 20 dishes cooked by Vida's mum.

The question you've asked relates to simple addition, which is a basic arithmetic operation. To find out how many dishes Tina's mum and Vida's mum cooked altogether, we simply add the two numbers together:

Number of dishes Tina's mum cooked = 50

Number of dishes Vida's mum cooked = 20

Total number of dishes cooked = 50 (Tina's mum) + 20 (Vida's mum) = 70 dishes

So, Tina's mum and Vida's mum cooked 70 dishes in total.

plz give more info

so I can help u

Answer:

what you trying to say??

Step-by-step explanation:

Answer:

9/20

Step-by-step explanation:

.45 = 45/100

Divide the top and bottom by 5

45/5 = 9

100/5 = 20

The fraction becomes 9/20

Answer: 9/20

Step-by-step explanation: .45 equals the fraction 45/100.

To reduce the fraction divide the top and bottom by 5:

45/100 = 9/20, which is in the lowest terms.

Answer:

The total weight of the bowling ball in ounces is 173 ounces

Step-by-step explanation:

To find this, first change the pounds to ounces by multiplying by 16.

10lbs * 16 = 160 ounces

Now add the ounces to that.

160 + 13 = 173 ounces

The total weight of Nene's bowling ball is 10.8125 pounds, after converting 13 ounces to pounds (since there are 16 ounces in 1 pound) and adding it to the 10 pounds.

To find the total weight of Nene's new bowling ball, we must first recognize that the weight is given in two different units: pounds and ounces. There are 16 ounces in 1 pound.

Step 1: Identify the weight in pounds and ounces.

Weight in pounds: 10 pounds

Weight in ounces: 13 ounces

Step 2: Convert the ounces to pounds. Since there are 16 ounces in 1 pound, we divide 13 ounces by 16 to get the weight in pounds.

13 ounces / 16 = 0.8125 pounds

Step 3: Add the weights to get the total weight in pounds.

10 pounds + 0.8125 pounds = 10.8125 pounds

Therefore, the total weight of the bowling ball is 10.8125 pounds.