16. The volume of a cone is one-third the area of the base times the
height. A cone has a volume of 207 cubic inches. Write an equation
that can be used to solve for the height of the cone.

Answer:

$9430 / $10,230 * 100% = 92.4%

Step-by-step explanation:

To find the car's rate of depreciation, we need to first calculate the total amount of depreciation that occurred over the 5 years of use. This can be done by subtracting the sale price of the car from its original price:

$10,230 - $800 = $<<10230-800=9430>>9430

Next, we need to divide the total amount of depreciation by the original price of the car and multiply by 100% to express the result as a percentage:

Therefore, the car's rate of depreciation was 92.4%, to the nearest tenth percent. This means that the value of the car declined by 92.4% over the 5 years of use.

Answer:

Below

Step-by-step explanation:

(5x+6) / 2   =  3 - ( 4x+12)    expand R side

(5x+6) / 2 = -4x - 9                      answer B     now multiply both sides by 2

5x + 6 = -8x - 18                          answer E

and finally

(5x+6) / 2 = 3 - (4x+12)          expand L side

5/2 x + 3  = 3 - (4x+12)         answer C

The measure of angle JIL is 59°.

We are given that;

Ray IL bisects angle HIJ, we know that the measure of angle HIL is equal to the measure of angle JIL.

Using the given expressions for these angles, we can write:

m∠HIL = m∠JIL

(6x − 7)° = (5x + 4)°

To solve for x, we can subtract 5x from both sides and add 7 to both sides:

x − 7 = 4

x = 11

Now that we have the value of x, we can plug it into the expression for m∠JIL and simplify:

m∠JIL = (5x + 4)°

m∠JIL = (5 × 11 + 4)°

m∠JIL = (55 + 4)°

m∠JIL = 59°

Therefore, by the angle the answer will be 59°.

Learn more about angle;

https://brainly.com/question/14164971

#SPJ12

The smallest unit of matter is an atom. The fundamental building block of an element is an atom, which is made up of protons, neutrons, and electrons. This statement is true.

An atom is made up of a nucleus and one or more electrons that are bound to the nucleus. The nucleus is made up of one or more protons, a significant number of neutrons, and other particles. Only the most common form of hydrogen lacks neutrons.

An atom, which is the smallest part of a material, retains all of its properties. A molecule is made up of protons, neutrons, and electrons, which are the building components of matter. Protons and neutrons, which are the only particles in an atom that contribute to its atomic mass, are found in the nucleus of each atom. These early 20th-century discoveries of particles that  a nuclide itself and chemical components are explained by contemporary atomic theory.

To know more about atom click:

brainly.com/question/1566330

#SPJ1

The given quadratic equations are:

Is in fact a quadratic equation.

The options are:

(i) x^2 - x + 3 = 0

(ii) 2x^2 +5/2x - √3 = 0

(iii) √2x^2 + 7x + 5√2

(iv) 1/3x^2 + 1/5x - 2 = 0

(v) x^2 - 3x - √x + 4 = 0

(vi) x - 6/x = 3

A general quadratic equation is a polynomial of degree 2:

a*x² + b*x + c = y

Where the variable is x, and we can see that the maximum exponent on a power of x is 2.

In this case, we have the first equation:

x^2 - x + 3 = 0

You can see that we have a polynomial of degree 2 (the maximum exponent is 2 and we only have positive integers as exponents) then this is in did a quadratic equation.

The other quadratics are:

Where you also can see polynomials of degree 2.

(the third option also seems to be quadratic, but it is not an equation)

Learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

The complete question is:

Which of the following are quadratic equation in x?

The options are:

(i) x^2 - x + 3 = 0

(ii) 2x^2 +5/2x - √3 = 0

(iii) √2x^2 + 7x + 5√2

(iv) 1/3x^2 + 1/5x - 2 = 0

(v) x^2 - 3x - √x + 4 = 0

(vi) x - 6/x = 3

Step-by-step explanation:

This is the answer for 1., but the steps are the same for the rest of the questions, so I am sure you will be able to get the rest!

Slope is the value in front of the X and basically tells us how far up or down the line moves in 1 square across the line. It goes up if it is positive, and down if it is negative.

Y-intercepts can be found by plugging in 0 for x.

For question 1:

y=[tex]\frac{3}{5}[/tex](0)+3=3 so the y-intercept is 3 up from 0.

Then, we can use our slope which is a fraction, the top can be thought of as rise and the bottom is run. This means each point will be 3 up and 5 to the right.

Answer:

2/ Points at (0,-5), ( 1,-4), (2,-3)

Step-by-step explanation:

The slope is rise/run

The slope is x, which mean = 1

If you can please give me a Brainliest, thank you!

The values of the missing angles in the parallelograms are as follows;

A parallelogram can be defined as a quadrilateral that has a pair of opposite parallel sides that have the same lengths.

Let x represent the missing angle in the figures in the question;

1) The adjacent angles of a parallelogram are supplementary

The angle x which is the adjacent angle to the angle 72° is a supplementary angle to the angle 72° in a parallelogram KLMN, therefore, we get;

x + 72 = 180, definition of supplementary angles

x = 180 - 72 = 108, by subtraction property

2) The missing angle x is the adjacent angle to the 95° angle in the parallelogram ABCD

Therefore; x + 95 = 180

x = 180 - 95 = 85

3) The missing angle is the opposite angle to the 139° angle

Opposite angles of a parallelogram are congruent

Quadrilateral TUVW is a parallelogram, therefore; x = ∠W = ∠T = 139°

4) The missing angle is an adjacent angle to the 105° in the parallelogram KLMN

Therefore, x + 105° = 180°

x = 180° - 105° = 75°

5) The missing angle, x, is the alternate interior angle to the 19° angle in the diagonal of the parallelogram BCDE

Alternate interior angles between parallel sides CD and BE are congruent.

Therefore, the missing angle is congruent to the 19° angle

6) Adding the missing angle and the 50° together, we get;

x + 50° = m∠E

∠E is the adjacent angle to the 95° angle, therefore;

∠E + 95° = 180°

∠E = 180° - 95° = 85°

∠E = 85°

Therefore; ? + 50° = 85°

x = 85° - 55° = 30°

7) The missing angle and the 29° angle are alternate interior angles

Alternate interior angles formed between parallel lines and their common transversal are congruent, therefore;

8) The sum of the missing angle and the 28° angle is the angle ∠F

∠F and the 110° angle are adjacent angles in the parallelogram DEFG, therefore;

∠F + 110° = 180°

∠F = 180° - 110° = 70°

∠F = 70°

x + 28° = 70°

x = 70° - 28° = 42°

Learn more about parallelograms here:

https://brainly.com/question/27296302

#SPJ1

[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{18}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{18}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{3}}} \implies \cfrac{ 12 }{ 2 } \implies 6[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{ 6}(x-\stackrel{x_1}{3}) \\\\\\ y-6=6x-18\implies {\Large \begin{array}{llll} y=6x-12 \end{array}}[/tex]

Answer:

5

Step-by-step explanation:

[tex]\frac{7.5}{1.5}[/tex] = 5

The value of kinetic energy will be 37.5 Jules.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A ball of mass of 6kg rolls with a velocity of 10m/s and creates 300 Jules of kinetic energy.

Now,

Since, A ball of mass of 6kg rolls with a velocity of 10m/s and creates 300 Jules of kinetic energy.

Hence, The value of kinetic energy with a mass of 3kg and a velocity of 5m/s create will be;

⇒ Kinetic energy = 1/2 mv²

⇒ Kinetic energy = 1/2 × 3 × 5²

                           = 1/2 × 3 × 25

                           = 37.5 Jules

Thus, The value of kinetic energy will be 37.5 Jules.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer: 68.75

Step-by-step explanation:

25 percent equals 0.25

Multiply the decimal by the number to find the percent

0.25*275= 68.75

Answer: 68.75

Step-by-step explanation:

25%/100% = 0.25

275 times 0.25 = 68.75

Since, there are 08 students in the class, among 02 of  them should be selected as the best students in the class. In 28 different ways this can be done.

Use the formula of combinations given as ⁿ[tex]C_{r}[/tex] to find the numbers of possible ways to select r things out of a total of n things. Let n be the total number of students in the class and r as the number of students required to be selected as best students in the class. Now, use the formula

ⁿ[tex]C_{r}[/tex] = [tex]\frac{r!}{(n- r)!}[/tex] to simplify the expression .

Given that a class has 8 students in which 2 students will be selected for a best students in the class. .

Therefore, n = 08 and r = 02, substituting these values in the formula we get,

Number of possible ways of selection = ⁿ [tex]C_{r}[/tex] = ⁸C₂

Now,

Number of possible ways of selection = [tex]\frac{8!}{2! ( 8 - 2)!}[/tex]

Or, Number of possible ways of selection = [tex]\frac{8!}{2! 6!}[/tex]

Solving further,

Number of possible ways of selection = 8 × 7× 6!/ 2× 1 ×6!

Number of possible ways of selection = 4 × 7 = 28

Hence, the total number of ways to select the required number of students is 28.

Learn more about Combinations:

https://brainly.com/question/28042664

#SPJ4

The indicated critical value for significance level of 0.03 should be approximately 1.88.

In standard normal distribution, the critical value is the mark or point that seperates region of acceptance and rejection. In one-tailed test having significance level of 0.03, it will indicate the probability of getting a value that will be more than or equal to 0.03.

The calculation of critical value can be done in many ways. Either look through the standard table or use calculator for the same. The latter is done by using inverse function on standard normal cumulative distribution function. It should be around 1.88.

Learn more about critical value -

https://brainly.com/question/14040224

#SPJ4

The congruence theorem that can be used to prove △ bda ≅ △ bdc is D. SSS.

Side-Side-Side, or SSS, is a type of triangle congruence rule that states that two triangles are congruent if their three sides are equal to their respective three sides of another triangle. When the measurements of the corresponding sides and angles are identical, two or more triangles are said to be congruent.

Given that ΔBDA is similar to ΔBDC and:

AD ≡ DC

AB ≡ BC

BD ≡ BD (shared side)

Then the best postulate to use is the side-side-side (SSS) postulate. The correct option is D.

Learn more about triangles on;

https://brainly.com/question/17335144

#SPJ1

26 points are scored in the fifth game.

The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Given,

First four games, a netball team scores an average of 31 points per game.

x/4=31

Let x represents four games

x=124

After the fifth game, the average for the first five games is 30

y/5=30

Let y represents five games

y=150

We need to find the number of points scored in fifth game.

x-y

124-150

26

Hence, 26 points are scored in the fifth game.

To learn more on Average click:

brainly.com/question/24057012

#SPJ1

The total length of a boundary defines the perimeter of an equilateral triangle.

To Learn more About equilateral triangle refer to:

https://brainly.com/question/15294703

#SPJ4

Answer:

The equation for scenario is 2(l + b) = 3a

The rectangle’s perimeter is 2(l + b)

The equilateral triangle’s perimeter is 3a

What is perimeter ?

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.

According to question

The perimeters of a rectangle and an equilateral triangle are equal.

So

let,

The length and breadth of the rectangle are l & b

And

Side of an equilateral triangle is a

Now

The rectangle’s perimeter = 2(length + breadth)

⇒ 2(l + b)

And

The equilateral triangle’s perimeter = Sum of All sides

⇒ a + a + a

⇒ 3a

Therefore

    perimeters of a rectangle = perimeters an equilateral triangle

              2(l + b) = 3a

hence, 2(l + b) = 3a is the equation which show that perimeter of rectangle and equilateral triangle is equal.

To Learn more About  Perimeter, Check out :

https://brainly.com/question/6465134

#SPJ4

Answer:

1 year ---->12 months

8 years ---> 12×8 =96 months

so there will be 96 months in a 8 years .

Answer:

can you connect me private?

Answer:

8/15

Step-by-step explanation:

There is no GCF (greatest common factor) in this. These numbers are relatively prime.

Answer:

Step-by-step explanation:

This distance can be calculated by using the distance formula. The distance between two points ( x 1 , y 1 ) and ( x 2 , y 2 ) can be defined as d = ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 .Jun 2, 2017

As per Mental hypothesis, the statistical inference procedures that we should use Chi-square test for goodness of fit.

Hypothesis

In probability, an idea or explanation that you then test through study and experimentation is known as hypothesis.

Given,

Here we have given that, an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. Mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with Mendel's hypothesis.

And we need to find in which statistical inference procedures should we use.

According to the definition of Chi-square test for goodness of fit, the claim is that the proportion of peas with yellow pods should be 25%. And then here the researcher wants to check that the experimental and observed counts of yellow offspring peas shows significant difference or not.

So, the statistical procedure used to study this case is Chi-square test for goodness of fit . Hence, option (1) is correct.

To know more about Hypothesis here.

https://brainly.com/question/29576929

#SPJ4

it takes 2.25 seconds

oh, and it's 18 seconds for the next question assuming we had the same test.

Answer:

You multiple the 1/4 into the inside which 1/4 x 4 is  

Step-by-step explanation:

sorry

Answer: plug -15 in for x and if we get get -9 out because 2/3 of -15 is -10 and -10+1 =-9
we can do the same for the rest of these and we see that they'll come out to the y value

Laurel must increase her net income to $10,000 in order to keep her housing costs at 25%.

To determine how much Laurel must increase her net income in order to keep her housing costs at 25%, we need to know the following information:

The amount of Laurel's new mortgage, which is $2500

The percentage of Laurel's net income that she wants to use for housing costs, which is 25%

To find the amount of net income that Laurel needs to maintain a housing cost of 25%, we can use the following formula:

Net income = Mortgage / (Housing cost percentage)

Substituting the values from the problem, we get:

Net income = $2500 / (25/100)

Net income = $2500 / 0.25

Net income = $10,000

To learn more about income:

https://brainly.com/question/25745683

#SPJ4

Laurel must increase her net income to $10,000 to keep her housing costs at 25%.

The amount of Laurel's new mortgage is $2500

The percentage of Laurel's net income that she wants to use for housing costs, which is 25%

To find the amount of net income that Laurel needs to maintain a housing cost of 25%, we can use the following formula:

Net income = Mortgage / (Housing cost percentage)

Substituting the values from the problem, we get:

Net income = $2500 / (25/100)

Net income = $2500 / 0.25

Net income = $10,000

Learn more about income:

brainly.com/question/25745683

#SPJ1

Answer:

1) y = -x -1

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

3) y = x + 1

Step-by-step explanation:

1)

The slope is the change in y over the change in x.  The y values from the points given is 0 and -1.  The x values from the points given is -1 and o

Slope: [tex]\frac{o - -1}{-1 - o}[/tex] = [tex]\frac{1}{-1}[/tex] = -1

y -intercept

y = mx + b  Use the point (0,-1) and the slope to solve for b

y = -1

m = -1

x = 0

y = mx + b

-1 = -1(0) + b

-1 = 0 + b

-1 = b  This is the y intercept.

y = mx + b

y = =x -1

2)

point-gradient form is

y -y = m (x-x)

y - -4 = 3 (x -2)

y + 4 = 3( x - 2)

3)

Parallel lines have the same slope.

slope is 1.  Use this and the point (0,1) to solve for b

y = mx + b

1 = 1(0) + b

1 = 0 + b

1 = b

y = x + 1

The volume of the smaller cone is 19.6cm³

From the question, we have the following parameters that can be used in our computation:

The above parameter mean that

Smaller cone

Side length = 2 cm

Volume = [?] cm³

Large cone

Side length = 3 cm

Volume = 66 cm³

The ratio of the cones can be represented as

Ratio = Side length³ : Volume

So, we have

2³ : Volume of smaller cone = 3³ : 66

Evaluate the exponents

8 : Volume of smaller cone = 27 : 66

Express as fraction

Volume of smaller cone/8 = 66/27

So, we have

Volume of smaller cone = 8 * 66/27

Evaluate

Volume of smaller cone = 19.6

Hence, the volume is 19.6cm³

Read more about volume at

https://brainly.com/question/463363

#SPJ1

The slope m of a line passing through two points (x1 , y1) and (x2 , y2) is:

m = (y2 − y1) / (x2 − x1)

If the graph of a line rises from left to right, the slope is positive.

What is slope ?

Slope is a ratio and can have a value that is positive, negative, equal to zero, or undefined. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run".

What is positive slope ?

A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y also decreases. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises. We will learn in other sections that “price” and “quantity supplied” have a positive relationship; that is, firms will supply more when the price is higher.

The slope m of a line passing through two points (x1 , y1) and (x2 , y2) is:

m = (y2 − y1) / (x2 − x1)

If the graph of a line rises from left to right, the slope is positive.

Learn more about Slope at:

https://brainly.com/question/3493733

#SPJ1

The surface area of the prism is 166 mm² in the given figure.

The total surface area of the given prism can be expressed in terms of length (l), width (w), and height of cuboid (h) as:

Surface area of prism = 2 (lw + wh + lh) ....(i)

As per the given figure, we have

length (l) = 5 mm

width (w) = 4 mm

height (h) = 7 mm

Substitute the values in the formula, and solve

Surface area of prism = 2 (5 x 4 + 4 x 7 + 7 x 5)

Surface area of prism = 2 (20 + 28 + 35)

Surface area of prism = 2 (83)

Surface area of prism = 166 mm²

Thus, the surface area of the prism is 166 mm² in the given figure.

To learn more about the surface area of the prism click here:

https://brainly.com/question/28016184

#SPJ1

Answer:

fourth option

Step-by-step explanation:

to prove that HJ is parallel to KL , then KL divides the sides HG and JG proportionally , that is

[tex]\frac{GK}{HK}[/tex] = [tex]\frac{GL}{LJ}[/tex]