Jake is traveling 12 mph in his boat. After 3 hours. How far will he have traveled?.

Answer:

13.9

Step-by-step explanation:

7² x 12² = 49 + 144 = 193

√193= 13.89

Answer:

y=-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-(-3))/(3-(-4))

m=(-3+3)/(3+4)

m=0/7

m=0

y-y1=m(x-x1)

y-(-3)=0(x-(-4))

y+3=0(x+4)

y+3=0

y=0-3

y=-3

Answer:

52

Step-by-step explanation:

Substitute x = 10 and y = 4 into the expression

8x - 7y

= 8(10) - 7(4)

= 80 - 28

= 52

36 square units make up the larger circle's surface area.

We can use the fact that the smaller circle is tangent to the larger circle and passes through its center to find the area of the larger circle. Since the radius of the smaller circle is tangent to the larger circle, the radius of the larger circle is double the radius of the smaller circle.

Let's call the radius of the smaller circle "r" and the radius of the larger circle "R". We know that R = 2r.

We know that the area of a circle is given by the formula A = πr^2.

We know that the area of the smaller circle is 9 square units, we can use this formula to find the radius:

A = πr^2 => r^2 = 9/π => r = sqrt(9/π)

Now we can use the formula of the area of a circle with R-value to get the area of the larger circle:

A = πR^2 => A = π(2r)^2 => A = 4πr^2 => A = 4π(9/π) => A = 36

So the area of the larger circle is 36 square units

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Answer:

Every repeating or terminating decimal is a rational number

Each repeating decimal number satisfies a linear equation with integer coefficients, and its unique solution is a rational number.

Answer:

here ,

\( \sqrt[3]{x {}^{3} y {}^{3} } \)

\( = (x {}^{3} y {}^{3} ) {}^{ \frac{1}{3} } \)

therefore the anwer is xy.

was it hellful plz let me know..

Answer:

Solution,

\( \sqrt[3]{ {x}^{3} {y}^{3} } \\ = {x}^{ \frac{3}{3} } {y}^{ \frac{3}{3} } \\ = xy\)

It is a root law of indices.

For example:

\( \: if \: {a}^{ \frac{m}{n} } \)

is an algebraic term, where m and n are the positive integers, then :

\( {a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} } \)

Hope this helps...

Good luck on your assignment...

The fastest pitch ever thrown is 106 miles per hour.

What is Rate per hour ?

We use the term "Rate" to describe the comparison and expression of two quantities stated in distinct units. For instance, if we say a car goes at 100 miles per hour, that indicates that in one hour, it travels 100 miles.

It is given that the fastest pitch by Huey is 56 miles/hr.

It means he can throw the baseball at the speed of 56 miles/hr.

If he doubles the speed of throw,

So The new speed of throw will be :

     = 2 × 56 miles/hr

     = 112 miles/hr.

If he throws at new speed i.e. 112 miles/hr, he will beat the record of fastest pitch ever thrown by 6 miles/hr.

So, fastest pitch thrown ever = new fastest pitch thrown by him - 6 miles/hr

                                                = 112 - 6 = 106 miles/hr.

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Answer:

25 or 26

Step-by-step explanation:

add 9 plus 16

so it is 16

Answer:

15

Step-by-step explanation:

Answer:

-4, 1/6, sq rt 8, 4.3

Step-by-step explanation:

1/6=.167

sq rt8= 2.82

Answer:

move 6 places right (1kg=10^6mg=1,000,000mg)

Step-by-step explanation:

ex:

1kg= 1,000,000mg

39kg=39,000,000

4.2kg=4,200,000

Answer:

Parallel

Step-by-step explanation:

QR and ST both parallel to y axis.

The lines are parallel each other. Therefore, option A is the correct answer.

The given coordinate points are Q(-1, 4), R(-1, -9), S(11, -2), T(11, 6).

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

After plotting the given points on the graph, we can see that the lines are parallel to each other.

The lines are parallel each other. Therefore, option A is the correct answer.

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The severe limitation of using the internet for primary research is that a sample universe  composed solely of internet respondents represents a potential bias.

Given options 1)The data on the Internet are usually outdated.

2) The educational qualifications of the respondents of surveys on the Internet cannot be identified accurately.

3) A sample universe composed solely of Internet respondents represents a potential bias.

4)Secondary data cannot be accessed on the Internet for conducting research.

5) Using the Internet for primary research is the most expensive way of conducting primary research.

We have to choose most appropriate option which shows the severe limitation of using internet for primary research.

The most appropriate option is option third which is that a sample universe composed solely of internet respondents a potential bias

There is biasness because on internet people gives their own opinion and reviews and don't think about reality. The data may have been collected for the research according to researcher's priority. The data may be outdated but it is of our choice whether we use that data or not because generally the date is given on the internet. We can also access secondary data on the internet. Using internet in research is not so expensive because some organisation provides study materials to researchers themselves.

Hence the limitation of using the internet for primary research is that a sample universe composed solely of internet respondents a potential. bias.

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The coach can form a ranked golf team by selecting 4 players out of the 6 available. The number of different ranked golf teams can be determined using combinations, specifically 6 choose 4, which is equal to 15.

To find the number of different ranked golf teams the coach can form, we consider the selection of 4 players out of the 6 available. This can be calculated using combinations.

The number of ways to select r objects (players) from a set of n objects (available players) is given by the formula nCr, which represents "n choose r."

In this case, the coach needs to select 4 players to form a golf team from a pool of 6 players. Therefore, we calculate 6C4:

6C4 = 6! / (4!(6-4)!) = (6 * 5 * 4 * 3) / (4 * 3 * 2 * 1) = 15.

Hence, the coach can create 15 different ranked golf teams by selecting 4 players out of the 6 available.

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The measure of the angle indicated in the intersecting chords is determined as  104⁰.

The measure of the angle indicated is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.

the indicated angle = ?

We will have the following equation, to determine the value of the angle.

? = ¹/₂ (130 + 78 ) (interior angle of intersecting secants)

? = 104⁰

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Answer: 15%

Step-by-step explanation:

The Percentage decrease will be:

= Decrease in weight / Old weight × 100

= (200 - 170) / 200 × 100

= 30/200 × 100

= 15%

The Percentage decrease is 15%

Answer:

The slope of the pile of sand is 0.5

Step-by-step explanation:

Since slope = vertical distance/horizontal distance.

Here, the vertical distance from the pile's peak to its base is 2.5 meters and the horizontal distance from its peak to its edge  is 5 meters.

So, we calculate the slope as

slope = vertical distance/horizontal distance where vertical distance = vertical distance from the pile's peak to its base = 2.5 meters and horizontal distance = horizontal distance from its peak to its edge  = 5 meters.

slope = vertical distance/horizontal

slope = 2.5 meters/5 meters

slope = 0.5

So, the slope of the pile of sand is 0.5

The mass of the cube when length is 0.7 metres is 163.33 kg.

The mass of a cube, M (kg), is proportional to the cube of the length of its edge, L (m).

The mass of the cube is 70 kg when the length of its edge is 30 cm.

Therefore, the mass of the cube when the length of the edge is 0.7 m can be calculated as follows:

1m = 100 cm

0.7 m = 70 cm

Therefore,

30 cm = 70 kg

70 cm= ?

cross multiply

mass of the cube = 70 × 70 / 30

mass of the cube = 4900 / 30

mass of the cube = 163.333333333

mass of the cube = 163.33 kg

Therefore, the mass of the cube when length is 0.7 metres is 163.33 kg.

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Answer:

Hey there!

25(10+50)-25

25(60)-25

1500-25

1475

Hope this helps :)

Answer:

The answer is

Step-by-step explanation:

25 (10 + 50) - 25

Expand

250 + 1250 - 25

Simplify

We have the final answer as

1475

Hope this helps you

Step-by-step explanation:

The three angles of the triangles are equal ...use  A-A-A theorem

Answer:

im going to go with A because you want to divide 6.60 by 2

Step-by-step explanation:

Subtract the third price by each of the answers until you get the second price for an answer. If you still don't get it can you comment down below and I'll tell you the answer.

Answer:

Please find the graphs of the parabola created with MS Excel

The descriptions are as follows, using the reference letter for each of the parabola

a. Parabola 'a' y = x² + 6

Does not intercept the x-axis

y-intercept is y = 6

The vertex is (6, 0)

Opens up

b. Parabola 'b' y = -x² + 6

x-intercepts are at ±√3

y-intercept is y = 6

The vertex is at (0, 6)

Opens down

c. Parabola 'c' x² + 5·x + 6

x-intercepts are at x = -2, and -3, (-2, 0), and (-3, 0)

y-intercept is y = 6, (0, 6)

The vertex of parabola 'c' is (-2.5, -0.25)

Opens up

d. Parabola 'd' x² - x - 6

x-intercept at x = -2 (-2, 0)

y-intercept is y = -6

The vertex of parabola is at (-0.5, 6.75)

Opens up

Step-by-step explanation:

a. Parabola 'a' y = x² + 6 does not have an x-intercept

The y-intercept of parabola a is y = 6

The vertex of parabola 'a' is at (6, 0)

Parabola 'a' opens up

b. Parabola 'b' y = -x² + 6 has an x-intercept at ±√3

The y-intercept of parabola b is y = 6

The vertex of parabola 'b'

At the vertex, x = -0/2 = 0

y = (0)² + 5×(0) + 6 = 6

The vertex of parabola 'b' is at (0, 6)

Parabola 'b' opens down

c. Parabola 'c' x² + 5·x + 6 has an x-intercept at x = -2, and -3

The y-intercept of parabola 'c' is y = 6

The vertex of parabola 'c'

At the vertex, x = -5/2 = -2.5

y = (-2.5)² + 5×(-2.5) + 6 = -0.25

The vertex of parabola 'c' is at (-2.5, -0.25)

Parabola 'c' opens up

d. Parabola 'd' y = x² - x - 6 has an x-intercept at x = -2

The y-intercept of parabola 'd' is y = -6

The vertex of parabola 'd'

At the vertex, x = -1/2 = -0.5

y = (-0.5)² - (-0.5) + 6 = 6.75

The vertex of parabola 'd' is at (-0.5, 6.75)

Parabola 'd' opens up

Total capacity the tower holds 1.034 x 10^5  gallons of water

One tower holds 8.4 x 10^3 gallons of water

Other tower holds 9.5 x 10^4 gallons of water

The combined water capacity of the two towers in scientific notation is,

Total capacity the tower holds = 9.5 x 10^4 + 8.4 x 10^3

    = 9.5 x 10^4 + 0.84 x 10^4

    = 10.34 x 10^4

    = 1.034 x 10^5

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The number of different combination may a new car would have is 10 ways.

What is a combination in mathematics?

The combination is defined as "an arrangement of objects in which the order in which the objects are chosen is unimportant." The combination means "selection of things," where the order is irrelevant.

Given that there are 10 different options.

We have to choose one car.

So total number of combinations = \(^{10}C_1\)

                                                       = 10!/(9!)(1!)

                                                       = 10 ways

Hence, the number of different combination may a new car would have is 10 ways.

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In 10 ways the combination of a new car can be installed as followed by the rules of Permutation combination.

what is Permutation combination ?

Putting things or numbers in order is the definition of a permutation. Combinations are a method of choosing elements such as numbers or objects from a collection or set of elements without regard to the elements' order.

Solution:

Given that the car are 10 different options.

We have to choose one car.

So total number of combinations = 10C1

                                                      = 10!/(9!)

                                                      = 10 ways

Therefore, In 10 ways the combination of a new car can be installed.

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Answer:

30 x 24 = 720

720 / 2 = 360

360 inches squared

7 pies = 3 pumpkin

1 pie = (1/7) × 3

= 0.43 pumpkin

The Area of the given figure is 22 unit square.

The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

Area is measured in square units like cm² and m². Area of a shape is a two dimensional quantity.

Given:

We have given the figure.

Then, we will count the boxes the area will be

= 2 x (1/2 + 2/3 + 1/3 + 1/2 + 1 + 2/3 + 1 + 1 + 1 + 1 + 1 + 1/2 + 1/2 + 1/3)

= 2 x (4/2 + 6/3 + 6)

= 2 x (2 + 3 + 6)

= 2 x (11)

= 22 unit square.

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Answer:

the answer is b

Step-by-step explanation:

The 95% confidence interval for the difference between the percent of residents who are younger than 50 and who are 50 and older that visited the park in the past year is  (-0.1076, 0.1076).

To calculate the 95% confidence interval for the difference between the percent of residents who are younger than 50 and who are 50 and older that visited the park in the past year, we can use the following formula:

CI = (p1 - p2) ± z*(sqrt(p1*(1-p1)/n1 + p2*(1-p2)/n2))

where:

p1 = the sample proportion of residents younger than 50 who visited the park

p2 = the sample proportion of residents 50 and older who visited the park

n1 = the sample size of residents younger than 50

n2 = the sample size of residents 50 and older

z* = the critical value from the standard normal distribution for a 95% confidence interval, which is 1.96

From the table, we can see that 60 out of 120 residents younger than 50 visited the park in the past year, while 40 out of 80 residents 50 and older visited the park in the past year. Therefore:

p1 = 60/120 = 0.5

p2 = 40/80 = 0.5

n1 = 120

n2 = 80

Plugging these values into the formula, we get:

CI = (0.5 - 0.5) ± 1.96*(sqrt(0.5*(1-0.5)/120 + 0.5*(1-0.5)/80))

Simplifying, we get:

CI = 0 ± 0.1076

Therefore, the 95% confidence interval the visit in the park in the past year is (-0.1076, 0.1076).

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Answer:

x ≥ 767

The number of bags sold must be greater than or equal to 767 to make a minimum profit of $6900.

Step-by-step explanation:

If they want a profit of at least $6900, then the total amount earned would have to be ≥ 6900. You can always earn more than $6900, but the lowest should be equal to $6900.

So if we use x as the number of bags sold, and we know that each bag will earn $9, then x • 9 ≥ 6900.

If we divide both sides by 9, then the number of bags sold must be ≥ 767.

A. The surface area of the cap of the sphere \(x^2 + y^2 + z^2 = 81\) with 8 ≤ z ≤ 9 can be found by integrating the surface area element over the  with 8 ≤ z ≤ 9 can be found by integrating the surface area element over the specified range of z.  

The equation of the sphere can be rewritten as z = √\((81 - x^2 - y^2)\). Taking the partial derivatives,

we have\(dx/dz=\frac{-x}{\sqrt{(81 - x^2 - y^2)} }\) and \(dz/dy=\frac{-y}{\sqrt{(81 - x^2 - y^2)} }\).

Applying the surface area formula ∫∫√(\(1 + (dz/dx)^2 + (dz/dy)^2) dA\), where dA = dxdy, over the region satisfying 8 ≤ z ≤ 9, we can compute the surface area.

B. To find the surface area of the piecewise smooth surface that is the boundary of the region enclosed by the paraboloids  \(z = 9 - 2x^2 - 2y^2\)and \(z = 7x^2 + 7y^2\), we need to determine the intersection curves of the two surfaces. Setting the two equations equal, we have \(9 - 2x^2 - 2y^2 = 7x^2 + 7y^2\). Simplifying, we obtain\(9 - 9x^2 - 9y^2 = 0\), which can be further simplified as\(x^2 + y^2 = 1\). This equation represents a circle in the xy-plane. To compute the surface area, we integrate the surface area element over the region enclosed by the circle. The surface area formula ∫∫√\((1 + (dz/dx)^2 + (dz/dy)^2)\) dA is applied, where dA = dxdy, over the region enclosed by the circle.

In summary, for the first problem, we need to integrate the surface area element over the specified range of z to compute the surface area of the cap of the sphere. For the second problem, we find the intersection curve of the two paraboloids and integrate the surface area element over the region enclosed by the curve to obtain the surface area.

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