how are vectors used in real life ?

Answers

Answer 1

Answer:

  anyplace where a magnitude and direction are needed

Step-by-step explanation:

Perhaps many folks encounter vectors with respect to directions: "go 2 blocks east, then turn right and go 3 more blocks." They are also an integral part of any weather report: "wind is from the SW at 6 mph."

Vectors are used in navigation, including air and sea travel: "turn right to heading 150°".

They are used in surveying to match points on a map to points on the ground. The boundary of a piece of land is often determined in raw form from distances and directions relative to a benchmark. Likewise for the location of corners of buildings, the paths of roadways, and other civil works.

In wartime, vectors are used to identify the locations of friendly or enemy positions relative to one's own position or some base or other reference point. They are used in the setup of artillery or mortar fire. Snipers must take wind speed and direction into account in order to accurately hit their target.

Many engineers use vectors in their calculations for electrical or mechanical designs. Chiropractors use vectors to describe the direction and magnitude of the forces they apply, as do other doctors and surgeons of all kinds.

Players in games involving balls or pucks (football, soccer, tennis, volleyball, baseball, basketball, hockey, and others) are well aware of the vector forces they must apply to get the desired outcome from a play.


Related Questions

What is the midpoint between (7 - 3i) and ( 3 + 2i).

Answers

Answer:

Step-by-step explanation:

5-0.5i

if the volume of a cube is 1,000 cubic feet what is the surface area

Answers

Here,

volume(v)=1000 ft^3

also,

v=l^3

or,1000=l^3

therefore,

l=10ft

Now,

Surface area(A)=6l^2

=6×10^2

=600 ft^2

Hope it helps!!!!!

If the volume of a cube is 1,000 cubic feet then the Surface area(A) of a cube of side 10 feet would be 600 ft^2.

What is a cube?

A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, 4 on the sides faces.

The volume of a cube can be calculated as the cube of the sides of a given figure.

The volume of a cube = side ^3

Given ; if the volume of a cube is 1,000 cubic feet

The volume(v) = 1000 ft^3

also, The volume(v) = l^3

or,1000 = l^3

therefore, l = 10ft

The side of the given cube is 10 feet.

Now,

The Surface area(A) of a cube = 6l^2

= 6 × 10^2

= 600 ft^2

Hence, if the volume of a cube is 1,000 cubic feet then the Surface area(A) of a cube of side 10 feet would be 600 ft^2.

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find the edge length of the cube

Answers

Answer:

5

Step-by-step explanation:

follow me if I'm right

Answer:

you are wrong genius

Step-by-step explanation:

you are wrong because you might have thought the s is a 5, but it is an s

Which table shows a positive correlation? A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 5, 5, 5, 5, 5. A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 10, 18, 31, 37, 52. A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 24, 25, 13, 9, 6. A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 9, 12, 17, 21, 22.

Answers

Answer: The Answer is B

Step-by-step explanation:

The first box has all 5's so it's just going to be a straight line.

The third box is a negative correlation because the number are going down in the right column

The fourth column doesn't make any sense because the X column has all 8's

So the answer is B.

Hope this helps : )

The table shows a positive correlation in B; The first column is labeled x with entries 1, 2, 3, 4, and 5. The second column is labeled y with entries 10, 18, 31, 37, and 52. A 2-column table with 5 rows.

What is correlation?

The correlation of two pairs of data values tells about the degree of movement that can occur in one of the data when another data value is increased or decreased respectively.

Since it is called that the Correlation coefficient is a measure of how similar two datasets are acting.

The first box has all 5s =hence,  it's just going to be a straight line.

The third box is a negative correlation due to the number is going down in the right column

The fourth column, the X column has all 8's

Hence, the answer is B.

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Rose lives 3/4 of a mile from her cousin. One day she rode her bike to her cousin's house. When she got 2/5 of the way there, her bike chain broke and she had to walk the rest of the way. What part of a mile did Rose go on her bike before it broke?

Answers

Answer: 3/10 of a mile

Step-by-step explanation:

Hi, to answer this question we simply have to multiply the 2/5 of the way that she travelled on her bike before it broke by the total distance (3/4 of a mile)

2/5 x 3/4 = 3/10 of a mile  

She travelled 3/10 of a mile on her bike before it broke

Feel free to ask for more if needed or if you did not understand something.

Rose traveled [tex]\( \frac{3}{10} \)[/tex] of a mile on her bike before it broke, found by multiplying 2/5 by 3/4. Equation: Distance on bike = (2/5) × (3/4).

To find out what fraction of a mile Rose traveled on her bike before it broke, we need to find 2/5 of 3/4 mile.

[tex]\[ \text{Distance traveled on bike} = \left(\frac{2}{5}\right) \times \left(\frac{3}{4}\right) \][/tex]

[tex]\[ = \frac{2}{5} \times \frac{3}{4} \][/tex]

[tex]\[ = \frac{2 \times 3}{5 \times 4} \][/tex]

[tex]\[ = \frac{6}{20} \][/tex]

[tex]\[ = \frac{3}{10} \][/tex]

So, Rose traveled [tex]\( \frac{3}{10} \)[/tex] of a mile on her bike before it broke.

The equation for this would be:

[tex]\[ \text{Distance on bike} = \left(\frac{2}{5}\right) \times \left(\frac{3}{4}\right) \][/tex]

Complete Question:
Rose lives 3/4 of a mile from her cousin. One day she rode her bike to her cousin's house. When she got 2/5 of the way there, her bike chain broke and she had to walk the rest of the way. What part of a mile did Rose go on her bike before it broke? Show your work and write an EQUATION in the box to the right.

The following box plot shows the number of years during which 20 schools have participated in an interschool swimming meet:

A box and whisker plot is drawn using a number line from 0 to 10 with primary markings and labels at 0, 5, 10. In between two primary markings are 4 secondary markings. The box extends from 1 to 6 on the number line. There is a vertical line at 3.5. The whiskers end at 0 and 8. Above the plot is written Duration of Participation. Below the plot is written Years.

At least how many schools have participated for 6 years or more?

4 schools

5 schools

10 schools

11 schools

Answers

The answer is

B. 5 schools

100% Verified!

Hope This Helps!:)

Answer:

B

Step-by-step explanation:

is 1.6 rational or irrational

Answers

It is Irrational you can also find this on google

In circle O, central angle AOB measures
radians.
What is the length of arc AB?
6 cm
125 cm
1871 cm
36 cm
18 cm

Answers

Answer: 6 (pi)

Step-by-step explanation:

Feta/3 = (arc)/Radius

The length of arc AB is approximately 18 centimeters.

How to determine the arc length of a circle

The arc length ([tex]s[/tex]) of a circle section, in centimeters, is defined by the following formula:

[tex]s = \alpha \cdot r[/tex]   (1)

Where:

[tex]\alpha[/tex] - Central angle, in radians[tex]r[/tex] - Radius, in centimeters

If we know that [tex]\alpha = \frac{\pi}{3}\,rad[/tex] and [tex]r = 18\,cm[/tex], then the length of the arc is:

[tex]s = \frac{\pi}{3}\cdot (18\,cm)[/tex]

[tex]s \approx 18.850\,cm[/tex]

The length of arc AB is approximately 18 centimeters. [tex]\blacksquare[/tex]  

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The ratio of the cost of one metre of polyester fabric to the cost of one metre of cotton fabric is 2:7
Complete the table of costs

Answers

Answer:

The values of the table of costs in the explanation

Step-by-step explanation:

Let

x ---->the cost of one metre of polyester fabric

y ----> the cost of one metre of cotton fabric

we know that

The ratio of the cost of one metre of polyester fabric to the cost of one metre of cotton fabric is

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

Complete the table

Part 1) For 2 metres of fabric

To find out the costs multiply the ratio by the fraction 2/2

so

[tex](\frac{2}{2})\frac{2}{7}=\frac{4}{14}[/tex]

therefore

[tex]x=\£4\\y=\£14[/tex]

Part 2) For 6 metres of fabric

To find out the costs multiply the ratio by the fraction 6/6

so

[tex](\frac{6}{6})\frac{2}{7}=\frac{12}{42}[/tex]

therefore

[tex]x=\£12\\y=\£42[/tex]

Part 3) For 8 metres of fabric

To find out the costs multiply the ratio by the fraction 8/8

so

[tex](\frac{8}{8})\frac{2}{7}=\frac{16}{56}[/tex]

therefore

[tex]x=\£16\\y=\£56[/tex]

Part 4) For 9 metres of fabric

To find out the costs multiply the ratio by the fraction 9/9

so

[tex](\frac{9}{9})\frac{2}{7}=\frac{18}{63}[/tex]

therefore

[tex]x=\£18\\y=\£63[/tex]

On a exam you get two points for each question answered correctly,zero points for each question left blank,and lose one point for each question answered incorrectly.what is your total score on the exam if you answer 22 questions correctly,leave 7 questions blank,and answer 5 questions incorrectly? P.S simplify expression

Answers

Answer:

Total score = 39 points

Step-by-step explanation:

For each correct question, you get 2 points, and there are 22 correct questions, so:

22 * 2 = 44 points.

For each question left blank, you get 0 points, and there are 7 questions left blank, so:

7 * 0 = 0 points

For each incorrect question, you get -1 point, and there are 5 incorrect questions, so:

5 * (-1) = -5 points.

The total number of points is:

Score = 22*2 + 7*0 + 5*(-1) = 44 + 0 - 5 = 39 points

Trapezoid $RSTU$ is a cross section of a lampshade. The diagonals of $RSTU$ are congruent, and the measure of $\angle S$ is $112\degree$ . What is the measure of $\angle U$ ?

Answers

The sum of the angle ∠T and angle ∠U will be a 180°. Then the angle ∠U will be 68°.

What is a trapezium?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

Trapezoid RSTU is a cross-section of a lampshade.

The diagonals of RSTU are congruent, and the measure of angle S is 112 degrees.

Then the measure of angle U will be

Angle S and angle T are equal.

∠S = ∠T = 112°

And the sum of the angle ∠T and angle ∠U will be a 180°.

Then we have

∠T + ∠U = 180°

112° + ∠U = 180°

         ∠U = 68°

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The measure of angle U in the trapezoid RSTU with congruent diagonals and angle S measuring 112 degrees is 68 degrees, using the properties of an isosceles trapezoid.

To find the measure of in the trapezoid RSTU, with diagonals congruent and the measure of angle S being 112 degrees, we need to use the properties of a trapezoid and the fact that the diagonals are congruent. In an isosceles trapezoid, the base angles are congruent, meaning angles S and U are congruent because diagonals are congruent. Since the sum of angles in a quadrilateral is 360 degrees, we can set up an equation: 2(112) + 2(angle U) = 360.

Solving for angle U, we get:

224 + 2(angle U) = 3602(angle U) = 136angle U = 68 degrees  

Hence, the measure of angle U in the trapezoid RSTU is 68 degrees.

Solve the following systems: 3x+4y=0 2x+3y=1

Answers

Answer:

Answer is x= -4 and y= 3

Step-by-step explanation:

[tex]given \: equations \: are \\ 3x + 4y = 0 \: \: and \: 2x + 3y = 1 \\ multiply \: by \: 2 \: in \: first \: equation \\ 6x + 8y = 0 \\ multiply \: by \: 3 \: in \: second \: equation \\ 6x + 9y = 3 \\ subtracting \: the \: above \: mentioned \: equation \: \\ we \: get \: - y = - 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = 3 \\ substitute \: y = 3 \: in \: first \: equation \\ 3x + 4(3) = 0 \\ 3x = - 12 \\ x = - 4[/tex]

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Which expression shows the simplified form of (8 r Superscript negative 5 Baseline) Superscript negative 3?

8 r 15
8/r15
512r 15
r15/512

Answers

Answer:

(8r) ^ 15

Step-by-step explanation:

(8r) ^-5 ^-3

We know that a^b^c = a^ (b*c)

(8r) ^-5 ^-3 = (8r) ^ (-5*-3)  = (8r) ^ 15

Answer:

This other person is wrong!

Step-by-step explanation:

I have proof! Try answer C: or :b

haha smiley face..if not...here's some memes that i hand made....

Steve bought a triangular mat to cover a corner of his room. How much area of the floor will this mat cover?
A. 60 square feet
B. 80 square feet
C. 48 square feet
D. 24 square feet
Please help worth 40 points!

Answers

Answer:

i believe is c

Step-by-step explanation:

because you addd 10 plus 8 times 6.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The area of the floor that will be covered by the Matt is 24 sq. ft.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.


The area of the floor covering will be equal to the area of the triangular carpet. Therefore, using the Heron's formula we can write,

s = (10+8+6)/2 = 12

Area of the triangle = √[12(12-10)(12-8)(12-6)] = √(12×2×4×6) = 24 sq ft.

Hence, the area of the floor that will be covered by the Matt is 24 sq. ft.

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simplify the expression -2(4+m), using the distributive property.

Answers

Answer:

-8-2m

Step-by-step explanation:

-2(4+m)

Using distributive property

= -8-2m

Hey there! :-)

The Distributive Property states the following:

a(b+c)=ab+ac

Where we distribute a by multiplying it times b and c

Now, let's simplify our expression:

-2(4+m)

-8-2m

or

-2m-8

Hence, the final answer is

[tex]\boxed{\boxed{\bold{-2m-8}}}[/tex]

Hope everything is clear.

Let me know if you have any other queries; if so, please comment.

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P.S. Sorry for the late response!

0.00005026 as a scientific notation

Answers

Answer:

5026*10^-5

Step-by-step explanation:

Answer:

5.026 x 10-5

Step-by-step explanation:

1. A magazine reported 66% of all dog owners usually greet their dog before greeting their



spouse or children when they return home at the end of the workday. Researchers select 40



dog owners at random and ask them whom they greet first when returning home. The 95%



confidence interval for the proportion of owners who greet their dog first is 0.475 to 0.775.



a) Interpret the confidence interval,



b) Calculate the point estimate and margin of error used to create this confidence interval,



c) Based on the confidence interval, is it plausible that the true proportion of all owners whi



greet their dog first is 66%? Explain.

Answers

Answer:

(a) There is 95% confidence that the true proportion of dog owners who greet their dogs first is between 0.475 and 0.775.

(b) The point estimate is 0.625. The margin of error is 0.15.

(c) It is plausible that the true proportion of all owners who greet their dog first is 66%.

Step-by-step explanation:

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval. Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.

In statistic, point estimation comprises of the use of sample data to estimate a distinct data value (known as a point estimate) which is to function as a "best guess" or "best estimate" of an unidentified population parameter. The point estimate of the population mean (µ) is the sample mean ([tex]\bar x[/tex]).

The  (1 - α)% confidence interval for population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\times \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The margin of error for this interval is:

[tex]MOE=\frac{UL-LL}{2}[/tex]

For the hypothesis test, if the confidence interval consist of the null value of the parameter then the null hypothesis is accepted or else rejected.

The 95% confidence interval for the population proportion of owners who greet their dog first is,

CI = (0.475, 0.775)

(a)

The 95% confidence interval for the population proportion, (0.475, 0.775), implies that there is a 0.95 probability that the true proportion of dog owners who greet their dogs first is between 0.475 and 0.775.

Or, there is 95% confidence that the true proportion of dog owners who greet their dogs first is between 0.475 and 0.775.

(b)

The point estimate of the population proportion (p) is the sample mean ([tex]\hat p[/tex]).

Compute the point estimate from the 95% confidence interval as follows:

Point estimate = (UL + LL)/2

                        [tex]=\frac{0.775+0.475}{2}\\=0.625[/tex]

The point estimate is 0.625.

Compute the margin of error as follows:

[tex]MOE=\frac{UL-LL}{2}=\frac{0.775-0.475}{2}=0.15[/tex]

The margin of error is 0.15.

(c)

The hypothesis to test whether the proportion of all owners who greet their dog first is 66% is:

H₀: The proportion of all owners who greet their dog first is 66%, i.e. p = 0.66

Hₐ: The proportion of all owners who greet their dog first is not 66%, i.e. p ≠ 0.66.

The 95% confidence interval for the population proportion of owners who greet their dog first is,

CI = (0.475, 0.775)

The 95% confidence interval consists of the null value, i.e. p = 0.66.

The null hypothesis was failed to rejected.

Thus, it is plausible that the true proportion of all owners who greet their dog first is 66%.

Answer:

Step-by-step explanation:

It's A. 90% confidence that between 42.5% and 47.9% of Americans own a dog

Which graph represents the compound inequality?
n < –2 or n ≥ 4

Answers

The third number line represents the  compound inequality n < –2 or n ≥ 4.

What is Number system?

A number system is defined as a system of writing to express numbers.

The given compound inequality is n < –2 or n ≥ 4

We can use a combination of a less than (<) symbol and a greater than or equal to (≥) symbol to represent the inequality.

The third number line represents the inequality n < –2 or n ≥ 4.

The less than symbol indicates that n must be less than -2, while the greater than or equal to symbol indicates that n must be greater than or equal to 4.

The open circle at -2 indicates that n is not included in the solution set for n < -2,

The closed circle at 4 indicates that n is included in the solution set for n ≥ 4.

Hence,  third number line represents the  compound inequality n < –2 or n ≥ 4.

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Find the area of the polygon.

_12 cm

| 19 cm

12 cm

The area of the polygon is |

square centimeters.

Answers

Answer:

[tex]A = 1172.965\,cm^{2}[/tex]

Step-by-step explanation:

Let be a side of 12 cm (l) and an apothem of 19 cm (p). First, the number of sides has to be determined:

[tex]n =\frac{360^{\textdegree}}{2\cdot \tan^{-1}\left(\frac{6\,cm}{19\,cm} \right)}[/tex]

[tex]n = 10.271[/tex]

The polygon has ten sides and the side length shall be re-adjusted:

[tex]\theta = \frac{360^{\textdegree}}{10}[/tex]

[tex]\theta = 36^{\textdegree}[/tex]

The side length is:

[tex]l = 2\cdot (19\,cm)\cdot \tan 18^{\textdegree}[/tex]

[tex]l = 12.347\,cm[/tex]

The area of the polygon is:

[tex]A = \frac{n\cdot l \cdot p}{2}[/tex]

[tex]A = \frac{(10)\cdot (12.347\,cm)\cdot (19\,cm)}{2}[/tex]

[tex]A = 1172.965\,cm^{2}[/tex]

Please help it is due tomorrow

Answers

Answer:

141

Step-by-step explanation:

<1 and the angle measuring 39 degrees form a straight lines so they sum to 180 degrees.

<1 +39 = 180

Subtract 39 from each side

<1 +39-39 = 180-39

<1 = 141

Answer:

141 degrees

Step-by-step explanation:

Angle 1 is  on the straight line with 39 degree angle together would = 180

180 - 39 = 141 degrees

Peter ran 4 ⅔ miles on Tuesday. On Wednesday, he ran ⅘ of this distance. How far did he run?


Answers

Answer:

3.73333

Step-by-step explanation:

Answer:

Step-by-step explanation:

Distance = 4/5 of 4 2/3

[tex]=\frac{4}{5}*\frac{14}{3}\\\\=\frac{4*14}{5*3}[/tex]

= 56/15

= 3 11/15 miles

A trapezoid with bases of 18 feet and 12 feet, height of 4 feet, and side length of 5 feet. What statements are true? Check all that apply. The height of the new trapezoid will be 1 ft. The height of the new trapezoid will be 16 ft. The area of the new trapezoid is One-fourth times the area of the original trapezoid. The area of the new trapezoid is StartFraction 1 Over 16 EndFraction times the area of the original trapezoid. The area of the new trapezoid is 4 times the area of the original trapezoid.

Answers

Answer:

A and D

Step-by-step explanation:

Got it right :)

Final answer:

The true statement about the new trapezoid is that the area of the new trapezoid is \(1/16\) times the area of the original trapezoid, assuming that all dimensions are scaled down by the same factor.

Explanation:

The area of a trapezoid is given by the formula: [tex]Area = \((base_1 + base_2) / 2\) * height[/tex]. For the original trapezoid with bases of 18 feet and 12 feet and a height of 4 feet, the area is [tex]\((18 + 12) / 2\) * 4 = 60[/tex] square feet. If the dimensions of the trapezoid are scaled down or up, the new height and area can be determined by using the same proportionality principle that applies to triangles. If the height is reduced by a factor of 4, which means the new height is 1 foot, then the area will also be reduced by the same factor squared (since area is a two-dimensional measure). Therefore, the new area will be 1/16 times the original area, which equals 60 / 16 = 3.75 square feet.

this is asking using the completing the square method

Answers

Answer:

first box [

4

]

second box [

  7

____

  2

]

third box[

0

]

Step-by-step explanation:

Answers are 4,7,2,0 in order

Which of the following triangle lengths form right triangles? Select all that apply
(7, 11, 13)
(10,24,26)
(12, 16, 20)
(12, 35, 37)
(13, 15, 19)

Answers

Answer:

B,C,D

Step-by-step explanation:

The correct option is (10,24,26) , (12, 16, 20) and (12, 35, 37).

What are the three sides of a right triangle?

In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle. We use special words to describe the sides of right triangles.

What is considered a right triangle?

A right triangle is a triangle with one right angle (one angle equal to 90°). The side opposite the right angle (the longest side) is called the hypotenuse. The remaining two sides (the sides that intersect to determine the right angle) are called the legs of the right triangle.

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A piece of copper has a mass of 58kg and displaces 5918ml. What is its density?

Answers

Answer:

8.96 g/cm2

Step-by-step explanation:

If a variable does not have a coefficient then it is either a 1 or a -1. true or false

Answers

Answer:

True

Step-by-step explanation:

If the coefficient is -1 then the variable will have a negative sign in front of it.

Example: (-x)

If the coefficient is 1 then the variable will stand alone.

Example:  (x)

Answer:

True

Step-by-step explanation:

An example of a variable "without" a coefficient is x or -x. There is no number beside x, meaning there is no visible coefficient. And when there is no visible, coefficient, the variable is multiplied by 1 or -1 (the negative sign determines whether the variable is negative or not).



Write a polynomial f (x) that satisfies the given conditions. Polynomial of lowest degree with zeros of -3 (multiplicity 3) 2(multiplicity 1)and with f(0)=270 .

Answers

Final answer:

To write a polynomial f(x) with specified zeros and a value for f(0), we first express the polynomial in its factored form, then solve for the coefficient using the given f(0) value. The resulting polynomial is f(x) = -5(x + 3)^3(x - 2).

Explanation:

To write a polynomial f(x) of the lowest degree with zeros of -3 (multiplicity 3) and 2 (multiplicity 1), we use the fact that zero of multiplicity m means the factor corresponding to that zero will appear m times in the factored form of the polynomial. Given these zeros, the polynomial in its factored form is:

f(x) = a(x + 3)^3(x - 2)

We are also given that f(0) = 270. We can use this information to find the value of a:

f(0) = a(0 + 3)^3(0 - 2) = 270

a = 270 / [(-2)(3)^3]

a = 270 / (-54)

a = -5

Now we can write the polynomial with the determined value of a:

f(x) = -5(x + 3)^3(x - 2)

This is the polynomial of the lowest degree that meets the given conditions.

Finish the phrase "Lack of planning on your part doesn't require..." (use all lowercase letter and put spaces between each word).

Help me please !
Its another lock

Answers

Answer:

"Lack of planning on your part doesn't require an emergency on my part."

Step-by-step explanation:

Doesnt it say it in the photo?

On discovering that his family has a 75% risk of heart attack, James took a treadmill test to check his own potential of having a heart attack. The doctors told him that the reliability of the stress test is 70%. What is the probability that James will not have a heart attack and that the test predicts he will?

Answers

Answer: The required probability is 0.4375.

Step-by-step explanation:

Since we have given that

Probability of having risk of heart attack = 75%= 0.75

Probability of having reliability of the stress test = 70%

Probability of not having risk of heart attack =1-0.75 = 0.25

Probability of not having reliability of the stress test = 1-0.70 = 0.30

So, the probability that James will not have a heart attack and that the test predicts he will would be :

P(not having heart attack | correct test) is given by :

[tex]=\dfrac{0.25\times 0.7}{0.25\times 0.7+0.75\times 0.3}\\\\=\dfrac{0.175}{0.175+0.225}\\\\=\dfrac{0.175}{0.4}\\\\=0.4375[/tex]

Hence, the required probability is 0.4375.

(17) Find the least square number which is exactly divisible by each of the numbers
6, 9, 15 and 20.
(18) Find the least square number which is exactly divisible by each of the numbers
8, 12, 15 and 20.

Answers

(17) Find the least square number which is exactly divisible by each of the numbers

The answer is 3

(18) Find the least square number which is exactly divisible by each of the numbers

8, 12, 15 and 20.

The answer is 4

Answer:17) 5400

18)3600

Step-by-step explanation:

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