Solve the equation.
2x - 3 + 4x = 21
O x= -12
O x= -6
O x= 4
O x= 6

The maximum height each tooth is 2.47cm.

The first step is to determine the maximum volume of a tooth.

Maximum volume of a tooth = volume of the block / number of teeth

81 cm³ / 20 = 4.05cm³

The formula to determine the height of a cone is:

Height = volume ÷ [tex]\frac{1}{3}[/tex]πr²

Where:

Height = 4.05  ÷ [tex]\frac{1}{3}[/tex] x [tex]\frac{22}{7}[/tex] x 1.25² = 2.47 cm

To learn more about the volume of a cone, please check: https://brainly.com/question/1315822

Answer:

it's the 4th one

Step-by-step explanation:

A, the one you mentioned

B, the 7th

C, the 8th

D is your answer

Answer:

  5π, about 15.708 units

Step-by-step explanation:

A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...

  C = πd

For a diameter of 5 units, the circumference is ...

  C = π(5) = 5π = 15.708 . . . units

_____

Additional comment

The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...

 3² + 4² = 9 +16 = 25 = 5²

That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.

Answer:

30 degree

Step-by-step explanation:

sum of the interior angles of a hexagon=720degree

one angle of the hexagon=720/6=120degree

one angle of the rhombus=90 degree

therefore, x=120-90=30

Hi,

if it's 11:24, it wil be 12:13

✅(◠‿◕)

Answer: They just needed to do process of eliminaion. :I

Step-by-step explanation:

38942390785289037x34809238749028

Answer:  -8

The ordered pair solution is ( -8, 8 )

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

To get that answer, we plug in y = 8 and solve for x.

6x+2y = -32

6x+2(8) = -32

6x+16 = -32

6x = -32-16

6x = -48

x = -48/6

x = -8

So that's how we end up with ( -8, 8 ). This point is on the line 6x+2y = -32.

The sum of polynomials involves adding the polynomials

The other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]

The sum of the polynomials is given as:

[tex]Sum = y^3 + 3y^2 + 4y - 4[/tex]

One of the polynomials is given as:

[tex]P = 4y^2 - 3[/tex]

Represent the other polynomial with Q.

So, we have:

[tex]P +Q =Sum[/tex]

Substitute the expressions for P and Sum

[tex]4y^2 - 3 +Q =y^3 + 3y^2 + 4y - 4[/tex]

Make Q the subject

[tex]Q =y^3 + 3y^2 -4y^2+ 4y - 4 +3[/tex]

Evaluate like terms

[tex]Q =y^3 -y^2+ 4y - 1[/tex]

Hence, the other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]

Read more about polynomials at:

https://brainly.com/question/1487158

Answer:

no they are different numbers, however their signs are inverted

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

-2x+3 is not the same as 2x-3 because, let's say we set each equation equal to something...

-2x+3 = 10                   2x-3 = 10

     -3     -3                      +3    +3

------------------              -----------------

-2x = 7                        2x = 13

x = [tex]\frac{7}{2}[/tex]                               x = [tex]\frac{13}{2}[/tex]

x = 3.5                           x = 6.5

As we can see, these equations are not the same, because, when we set them equal to the same value, the answers are different.

Hope this helps! :D

Answer: A.

Step-by-step explanation:

This is the only option in which the terms are ordered from least to greatest.

Therefore, A is the correct answer.

[tex]\text{Given that,}\\\\-2y = -2x\\\\\implies y = x\\\\\implies y = x+0\\\\\\\text{This is the slope- intercept form(y=mx+b) of the given equation,}\\ \text{where the slope is 1 and y - intercept is 0.}[/tex]

Answer:

2nd option

Step-by-step explanation:

The ratios on both sides must be equal

[tex]\frac{15}{6}[/tex] ( divide numerator/ denominator by 3 )

= [tex]\frac{5}{2}[/tex] ≠ [tex]\frac{3}{2}[/tex] , then not a proportion

[tex]\frac{4}{5}[/tex] ( multiply numerator/ denominator by 3 )

= [tex]\frac{12}{15}[/tex] , this is a proportion

[tex]\frac{9}{21}[/tex] ( divide numerator/ denominator by 3 )

= [tex]\frac{3}{7}[/tex] ≠ [tex]\frac{6}{7}[/tex] , then not a proportion

[tex]\frac{10}{16}[/tex] ( divide numerator/ denominator by 2 )

= [tex]\frac{5}{8}[/tex] ≠ [tex]\frac{2}{8}[/tex] , then not a proportion

Answer:

1. 18/8

2. 16/20

3. 15/28

4. 12/24

[tex](5xy ^{2} {)}^{3} \\ = {5}^{3} \times {x}^{3} \times y ^{2 \times 3} \\ = 125 {x}^{3} {y}^{6} [/tex]

Answer:

[tex]125 {x}^{3} {y}^{6} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

125x^3y^6

Step-by-step explanation:

Distribute the 3 exponent on the outside to the 5, x^1 and y^2

5^3 = 125

1 * 3 = 3

2 * 3 = 6

125x^3y^6

[tex]x^2+12x+35\\\\=x^2 +5x +7x +35\\\\=x(x+5) +7(x+5)\\\\=(x+7)(x+5)\\\\\\3x+15 = 3(x+5)[/tex]

Answer:

x ≤ -2

Step-by-step explanation:

its going towards numbers smaller than negative 2 so its less than. A closed circle dot means it includes the -2 so its less than or equal to

Answer:

a^-7

Step-by-step explanation:

so when dividing exponents you subtract them so the exponents are -13 and -6  you would just subtract them

-13 - (-6) = -13 + 6 = -7

and so a^-7 is ur answer

The correct option is ''The value of 135 because it is not greater than 136.5 values is outside the 99% confidence interval for the population mean''

A simple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146, with a standard deviation of 34.

Which of the following values is outside the 99% confidence interval for the population mean?

A simple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146, with a standard deviation of 34.

Sample space n = 85,

Mean = 146

And standard deviation = 34

Then, The standard error of the sample is,

[tex]= \dfrac{\sigma}{n}\\\\= \dfrac{34}{\sqrt{85}}\\\\= \dfrac{34}{9.21}\\\\= 3.6[/tex]

Then, z-critical value for 99% is 2.58,

Margin of error = ±9.515

Confidence interval for lower bound is,

= 146 - 9.515 = 136.485

And confidence interval upper bound is,

= 146 + 9.515 = 155.515

Here, 135 is less than the lower bound,

Therefore, 135 does not lie within a 99% confidence interval.

For more details about Lower bound refer to the link given below.

https://brainly.com/question/15974739

Answer:

Answer is

the value of 135

Step-by-step explanation:

just in case some of u have different lettered answers your A may be C so i just give the numerical answer lol its easier

Divide distance by time

Truck : 333/6 = 55.5 miles per hour

Car: 210/4 = 52.5 miles per hour

Answer:

Below.

Step-by-step explanation:

Speed of truck = 333/6 = 55.5 mph.

Speed of car = 210/4 = 52.5 mph.

Answer:

The midpoint of PQ is (3,0) and the equation if the line perpendicular to PQ is y=3/2(x-3).

Step-by-step explanation:

To find the midpoint, find the average of the x and y values. (0+6)/2=3 and (-2+2)/2=0

In order to make a perpendicular line, we must find the slope first of the original line.

(y2-y1)/(x2-x1) is the formula for slope

(-2-2)/(6-0)= -4/6=-2/3

Now we know the slope which is all we need to start making the equation using the point slope form which is y-y1=m(x-x1) (let m be slope) and we use the midpoint (3,0) as our point. since it is perpendicular, we will take the slope and flip it as well as change the sign

y-0=3/2(x-3) or y=3/2(x-3)

if you'd like, you can distribute and put it in slope intercept form

y=3/2x+9/2

[tex]\text{Given that,}\\\\4(x-3) +5x -x^2\\\\\text{For x =3,}\\\\4(3-3) +5(3) -3^2 = 4(0) +15 -9 = 6[/tex]

Answer:

Type 2

Step-by-step explanation:

Equation of the line is:

y=2

slope is 0

Answer:  B though im not sure

Step-by-step explanation:

Answer:

  20%

Step-by-step explanation:

The percentage change is the difference divided by the original amount, expressed as a percentage.

  (30 -25)/25 × 100% = 20%

Production increased by 20%.

Answer:

A and B are equal to 52.5°

Step-by-step explanation:

One angle has to be 75°, so let's say that angle C is 75°. You need to subtract 75 from 180, which is 105°. Now, divide 105° by 2, which equals 52.5. Your answer is: Angles A and B are both equal to 52.5

Answer:

No

Step-by-step explanation:

One way of doing this problem is to reduce the given fractions as much as possible.  Unfortunately, neither ratio reduces.  So the fraction 16/9 is NOT equal to the fraction 28/15 and our conclusion must therefore be "the rations do not form a proportion."

Answer:

hope it helps 12 : 9 = 28 : 15

is FALSE

if 18.75 - 3 = 15.75

if every 2 years you get 15.75

if from 2023 to 2031 is 8 years

then 8 divided by 2 = 4

so 15.75 * 4 = 63

then the answer is 63

The equivalent expression for the given expression (w+9)+3 using associative property is w + 12

Solution:

Given that, expression is ( w + 9 ) + 3

We have to find how do we can use the associative property to write an expression equivalent to ( w + 9 ) + 3

The associative property states that you can add or multiply regardless of how the numbers are grouped

By above definition, we get

(a + b) + c = a + (b + c)

So, now let us apply the above property to the given expression,

Then, ( w + 9 ) + 3 = w + ( 9 + 3 ) = w + 12

Hence, the equivalent expression for the given expression is w + 12

Associative property:-

[tex]\boxed{\sf (a+b)+c=a+(b+c)}[/tex]

Now

[tex]\\ \sf\longmapsto (w+9)+3[/tex]

[tex]\\ \sf\longmapsto 3+(w+9)[/tex]