6 + 9x^2 + 3x^3 + 2x^4 - 12x

how many positive, negative, and complex zeros are there?

The sum total by the given data is equals to $658,880.

We are given that;

Percent=15%

Amount= $98,880

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

To divide by a percentage, we can convert it to a decimal by moving the decimal point two places to the left. This gives us:

15% = 0.15

To divide by 0.15, we can multiply by its reciprocal, which is 1/0.15. This gives us:

$98,880 / 0.15 = $98,880 x 1/0.15

To multiply by 100, we can move the decimal point two places to the right. This gives us:

$98,880 x 1/0.15 x 100 = $658,880

Therefore, by the percentage the answer will be $658,880.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ1

Answer:

b=4 x A

Step-by-step explanation:

Answer: D

Step-by-step explanation:

2x-36=0                                                

+36     +36

___________

2x=36

x=18

Even if one equation, -18 was not solved, you can easily cross out the ones without 18 and get the answer.

Total surface area of cone is 176π

Surface area of curved surface of a cone is give by π⋅r.l , where r is the radius and l is the slant height of the cone.

Hence surface area of curved surface of a cone is π×8×14=112π .

As surface area of base is π×82=64π .

Hence total surface area is 112π+64π=176π

The surface area of the given cone is 552.64 units²

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given that, a cone has a radius of 8 and slant height of 14 units, we need to find its surface area,

The surface area of cone = π ·r²+ π·r·l, where l is the slant height,

So,

SA = (3.14 × 8²) + (3.14 × 8 × 14)

= 200.96 + 351.68

= 552.64

Hence, the surface area of the given cone is 552.64 units²

Learn more about surface area click;

brainly.com/question/29298005

#SPJ5

Answer:

Step-by-step explanation:

4/mx

Answer:Answer: y=x/3−2.

Step-by-step explanation:

find the equation of the line perpendicular to the line y=2−3x passing through the point (3,−1).

The equation of the line in the slope-intercept form is y=2−3x.

The slope of the perpendicular line is negative inverse: m=13.

So, the equation of the perpendicular line is y=x3+a.

To find a, we use the fact that the line should pass through the given point: −1=(13)⋅(3)+a.

Thus, a=−2.

Therefore, the equation of the line is y=x3−2.

Answer: y=x/3−2.

All measures and angles of sides and angles are:

c = 20

D ≈ 69.2

θ = 37.34°

θ = 120°

c = 11

D = 77.6

θ = 92.87°

c = 13

D = 63.5

θ = 90°

1) We are given;

m<C = 32°

a = 28

b = 13

Since two sides and the opposite angle of an unknown side are given, then we can use law of cosine which is expressed as:

c = √(a² + b² - (2ab*cos C)

Thus;

c = √(18² + 17² - (2*8*17*cos 32°)

c ≈ 19.55

c ≈ 20

2) The length of the longer diagonal of a rhombus is found by the  formula: D = 2a*cos 0.5θ

Where:

D - Length of the larger diagonal.

a - Side length.

θ - Measure of the smaller angle, in degrees.

We are given; a = 36 and θ = 32°. Thus;

D = 2 * 36 * cos (0.5 * 32°)

D ≈ 69.2

3) Using the length of diagonal of rhombus formula as above gives;

D = 2a*cos 0.5θ

We are given;

D = 36 and a = 34

Thus;

36 = 2 * 34 * cos 0.5θ

cos⁻¹36/68 = 0.5θ

18.67 = 0.5θ

θ = 18.67/0.5

θ = 37.34°

4) Applying the law of cosine, we can find the larger angle as;

18² = 10² + 12² - (2 * 10 * 12 * cos θ)

324 = 244 - (240 * cos θ)

244 - 324 = (240 * cos θ)

-120/240 = cos θ

θ = cos⁻¹(-0.5)

θ = 120°

5) By using Law of cosines, we have;

c = √(12² + 14² - (2 * 14 * 12 · cos 38°)

c ≈ 11

6) Still using formula in number 2, we have;

D = 2a*cos 0.5θ

D = 2*40*cos(0.5*28)

77.6

7)  Applying the law of cosine, we can find the larger angle as;

14² = 8² + 12² - (2 * 8 * 12 * cos θ)

196 = 208 - (192 * cos θ)

12 = (240 * cos θ)

12/240 = cos θ

θ = cos⁻¹(-0.05)

θ = 92.87°

8) Still using the using the cosine approach, we have;

We are given;

m<C = 50°

a = 14

b = 15

Since two sides and the opposite angle of an unknown side are given, then we can use law of cosine which is expressed as:

c = √(a² + b² - (2ab*cos C)

Thus;

c = √(14² + 14² - (2*8*17*cos 32°)

c ≈ 12.702

c ≈ 13

9) The length of the longer diagonal of a rhombus is found by the  formula: D = 2a*cos 0.5θ

Where:

D - Length of the larger diagonal.

a - Side length.

θ - Measure of the smaller angle, in degrees.

We are given; a = 34 and θ = 42°. Thus;

D = 2 * 34 * cos (0.5 * 42°)

D ≈ 63.5

10) Applying the law of cosine, we can find the larger angle as;

26² = 22² + 14² - (2 * 22 * 14 * cos θ)

676 = 680 - (616 * cos θ)

4 = (616 * cos θ)

4/616 = cos θ

θ = cos⁻¹(0.065)

θ = 90°

Read more about trigonometric rules at;

#SPJ1

Answer:

2

Step-by-step explanation:

14·\(\frac{1}{7}\)=2

Answer:

2

Step-by-step explanation: 1/7th's of 14 is 2.

1/7 x 14 = 2.

Given the triangle QRS, you know it is isosceles with base QR, and:

By definition, an Isosceles Triangle is a triangle that has two equal sides and two equal angles. Therefore, you can determine that, in this case:

Then, you can set up the following equation with the expressions that represent each angle:

Solve for "x" in order to find its value:

Knowing the value of "x", you can determine that:

By definition, the sum of the interior angles of a triangle is 180 degrees. Therefore, you can set up this equation:

Solving for angle S, you get:

Hence, the answer is:

Answer:

$886.47

Step-by-step explanation:

Answer:

22.5 pounds of mashed potatoes are made from 15 pounds of potatoes.

Step-by-step explanation:

According to the statement, we notice that the amount of pounds of potatoes (\(x\)) is directly proportional to the amount of mashed potatoes (\(y\)). That is:

\(y\propto x\)

\(y = k\cdot x\) (Eq. 1)

Where \(k\) is the proportionality constant, dimensionless.

Then we eliminate such constant by building this relationship:

\(\frac{y_{2}}{y_{1}} = \frac{x_{2}}{x_{1}}\)

\(y_{2} = \left(\frac{x_{2}}{x_{1}} \right)\cdot y_{1}\) (Eq. 2)

If we know that \(x_{1} = 10\), \(x_{2}=15\), \(y_{1} = 15\), then the amount of pounds of mashed potatoes is:

\(y_{2} = \left(\frac{15}{10} \right)\cdot (15)\)

\(y_{2} = 22.5\)

22.5 pounds of mashed potatoes are made from 15 pounds of potatoes.

The equation that could be used to determine L, the unknown side length of the logo is A = 3.4L

From the question, we have the following parameters:

Represent the maximum area of the logo with A.

The area (A) of the rectangular logo is calculated using:

A = L * W

Substitute 3.4 for L

A = 3.4L

Hence, the equation that could be used to determine L, the unknown side length of the logo is A = 3.4L

Read more about areas at:

https://brainly.com/question/24487155

The coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the Coordinates of Luke's house on the coordinate grid.

The grid representing Kyle's house. However, based on the given information, we can determine the coordinates of Kyle's house relative to Luke's house.

If Luke's house is located at the point (x, y), then Kyle's house is located 4 units to the left of Luke's house, which means the x-coordinate of Kyle's house is (x - 4). Similarly, Kyle's house is located 2 units up from Luke's house, which means the y-coordinate of Kyle's house is (y + 2).

Therefore, the coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the coordinates of Luke's house on the coordinate grid.

To know more about Coordinates .

https://brainly.com/question/29660530

#SPJ11

Answer: over budget by $64



Step-by-step explanation:

$99 coat

$75 Shoes

$240 tv

Total=414

total-budget=

Budget =$350

414-350

= 64

Answer:

Step-by-step explanation:

3.65 ⋅ 10 = 36.5

3.65 ⋅ 100 = 365

3.65 ⋅ 1000 = 3,650

3.65 ⋅ 10000 = 36,500

3.65 ⋅ 100000 = 365,000

There are 5 zeroes on the last one.

This means that 100,000 is 10 to the power of 5.

Hope this helps! <3

In general, if we have \(x^a=x^b,\) then \(a=b.\) Thus, the first answer choice is correct.

Answer:

\(\boxed{\red{2x - 1 = 5x - 14}}\)

First answer is correct.

Step-by-step explanation:

we know that,

\( {x}^{a} = {x}^{b} \)

\(a = b\)

So, according to that,

\( {5}^{(2x - 1)} = {5}^{(5x - 14)} \)

Therefore,

\(2x - 1 = 5x - 14\)

Answer:

$243.80

Step-by-step explanation:

You basically just multiply this by 1.02, then multiply the answer of that by 1.02, etc, until you did it 10 times in total. There is also the formula

P (1 + r/n)^(nt)

Where

A     =       final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Using the formula of volume of a sphere and hemisphere, the volume of the figures are given as;

1. 2144.57 m³

2. 696.6 m³

3. 20569.1m³

4. 2637ft³

5. 56.5km³

6. 6381.79 in³

The volume of a sphere is given as 4/3πr³

Where π is a constant whose value is equal to 3.14 approximately. “r” is the radius of the hemisphere.

1. The volume of the sphere is;

v = 4/3 * 3.14 * 8³ = 2144.57m³

2. The volume of the sphere is;

v = 4/3 * 3.14 * (11/2)³ = 696.6m³

3. The volume of the sphere is;

v = 4/3 * 3.14 * 17³ = 20569.1m³

4. The volume of the hemisphere is;

v = 2/3 * 3.14 * 10.8³ = 2637ft³

5. The volume of the hemisphere is;

v = 2/3 * 3.14 * 3³ = 56.5km³

6. The volume of the hemisphere is;

v = 2/3 * 3.14 * (29/2)³ = 6381.79in³

Learn more on volume of sphere here;

https://brainly.com/question/22807400

#SPJ1

first off, let's take a peek at the picture above

hmmm the hyperbola is opening sideways, that means it has a horizontal traverse axis, it also means that the positive fraction will be the one with the "x" variable in it.

now, the length of the horizontal traverse axis is 4 units, from vertex to vertex, that means the "a" component of the hyperbola is half that or 2 units, and 2² = 4, with a center at the origin.

\(\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(x- 0)^2}{ 2^2}-\cfrac{(y- 0)^2}{ (\sqrt{3})^2}=1\implies {\Large \begin{array}{llll} \cfrac{x^2}{4}-\cfrac{y^2}{3}=1 \end{array}}\)

a) The height that represents the 95th percentile is approximately 68.1 inches.

b) the height that represents the first quartile is approximately 65.5 inches.

(a) To find the height that represents the 95th percentile, we need to find the z-score that corresponds to this percentile and then use that to find the corresponding height.

The z-score for the 95th percentile can be found using a standard normal distribution table or calculator. The area to the left of the z-score is 0.95, so the area to the right is 0.05. From the standard normal distribution table, the z-score corresponding to an area of 0.05 is approximately 1.645.

Now we can use the formula for z-scores to find the corresponding height:

z = (x - mu) / sigma

where x is the height we want to find, mu is the mean height (63.7 inches), sigma is the standard deviation (2.75 inches), and z is the z-score we just calculated (1.645).

Rearranging the formula, we get:

x = mu + z * sigma

Plugging in the values, we get:

x = 63.7 + 1.645 * 2.75 ≈ 68.1

Therefore, the height that represents the 95th percentile is approximately 68.1 inches.

(b) To find the height that represents the first quartile, we need to find the z-score that corresponds to the 25th percentile and then use that to find the corresponding height.

The z-score for the 25th percentile can be found using a standard normal distribution table or calculator. The area to the left of the z-score is 0.25, so the area to the right is 0.75. From the standard normal distribution table, the z-score corresponding to an area of 0.75 is approximately 0.67.

Using the formula for z-scores and the same values for mu and sigma, we get:

x = mu + z * sigma = 63.7 + 0.67 * 2.75 ≈ 65.5

Therefore, the height that represents the first quartile is approximately 65.5 inches.

Learn more on percentile and quartile here https://brainly.com/question/17173772

#SPJ1

If point (a, b) is below and to the left of point (c, d), it means that a is less than c and b is less than d. So:

a < c

b < d

In other words, a is less than c, and b is less than d.

Answer:

Length of rectangular strip = 12

area of rectangular strip =   2*12 = 24

Area of square =  x^2 = 12^2 = 144

Step-by-step explanation:

Area of square x^2

area of rectangle is given by length * width

Length of rectangular strip = x

width of rectangular strip = 2

area of rectangular strip =  length * width = 2*x = 2x

Area of square piece of paper when  rectangular strip is taken away from it

= Area of square - area of rectangular strip

= \(x^2 -2x\)

It is given that Area of square piece of paper when  rectangular strip is taken away from it is 120 square units.

Thus,

\(x^2 -2x = 120\\=> x^2 -2x -120 = 0\\=> x^2 -12x +10x-120\\=> x(x-12) +10(x-12)\\=> (x+10)(x-12) = 0\\\\\)

Thus,

either x+10 = 0 or x -12= 0

x = -10 or x = 12

but length cannot  be negative hence neglecting x = -10

hence value of x is 12.

Hence,

Length of rectangular strip = 12

area of rectangular strip =   2*12 = 24

Area of square =  x^2 = 12^2 = 144

The form that most quickly reveals the y intercept is

The y intercept is (0, 21/2)

The y-intercept is the point where a function or a curve intersects the y-axis. In other words, it is the value of the dependent variable (y) when the independent variable (x) is equal to zero.

In the form,  f(x) = 1/2 x² - 5x + 21/2 it is easier to see that eliminating x by plugging in 0 leaves 21/2 which is the y intercept

hence we can easily say that the y intercept is (0, 21/2)

Learn more about y-intercept at

https://brainly.com/question/10606087

#SPJ1

Answer:

B

Step-by-step explanation:

Hey there! first, we divide 1 1/4 by 2 to get how much flour is used to make one muffin then we multiply 0.625by 12  because 1 1/4  ÷ 2 = 0.625

12 × 0.625 = 7.5            

  (7.5 is equivalent to 7 1/2)

Carol need  7\(\frac{1}{2}\) cups of flour for 12 muffins.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Carol used 1\(\frac{1}{4}\) cups of flour in 2 muffins.

That means, Carol used 5/4 cups of flour in 2 muffins.

Unit rate = 2x4/5

              = 8/5

When we have 12 muffins,

then flour = 12x 5/8

                = 60/8

                = 7\(\frac{1}{2}\) cups of flour.

Therefore, 7\(\frac{1}{2}\) cups of flour for 12 muffins.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ5

0.6*3.98+1.8*2.49 =6.87 total cost

Answer:

7 < x < 12

Step-by-step explanation:

To solve this inequality, solve it the same way you do a normal function. Perform the same actions on both sides of the inequality.

\(10 < 2x-4 < 20\\14 < 2x < 24\\7 < x < 12\)