kiran scored 223 more points in a compouter game than tyler. if kiran scored 409 points, how many points did tyler score

Answers

Answer 1

Answer:

223=409−z

409=223+z

Step-by-step explanation:


Related Questions

A recent survey found that 30% of telephone users have switched completely to cell phone use (i.e. they do not have landlines in their homes). A random sample of 10 of these customers is selected. What is the probability that exactly 30% of these 10 telephone users do not have landlines in their homes

Answers

Answer:

The probability that exactly 30% of these 10 telephone users do not have landlines in their homes is 0.2668.

Step-by-step explanation:

We are given that a recent survey found that 30% of telephone users have switched completely to cell phone use (i.e. they do not have landlines in their homes).

A random sample of 10 of these customers is selected.

The above situation can be represented through binomial distribution;

[tex]P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r}; x = 0,1,2,3,......[/tex]

where, n = number of trials (samples) taken = 10 customers

            r = number of success = 30% of 10 = 3

            p = probability of success which in our question is the probability

                  that telephone users do not have landlines in their homes,

                   i.e. p = 30%

Let X = Number of telephone users who do not have landlines in their homes

So, X ~ Binom(n = 10, p = 0.30)

Now, the probability that exactly 30% of these 10 telephone users do not have landlines in their homes is given by = P(X = 3)

           P(X = 3) =  [tex]\binom{10}{3}\times 0.30^{3} \times (1-0.30)^{10-3}[/tex]

                         =  [tex]120 \times 0.30^{3} \times 0.70^{7}[/tex]

                         =  0.2668

I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!

Answers

Answer: L = 20.25

Step-by-step explanation:

[tex]T=2\pi \sqrt{\dfrac{L}{32}}[/tex]

Given: T = 5, π = 22/7

[tex]5=2\bigg(\dfrac{22}{7}\bigg)\sqrt{\dfrac{L}{32}}\\\\\\\dfrac{5}{2}\bigg(\dfrac{7}{22}\bigg)=\sqrt{\dfrac{L}{32}}\\\\\\\dfrac{35}{44}=\sqrt{\dfrac{L}{32}}\\\\\\\bigg(\dfrac{35}{44}\bigg)^2=\bigg(\sqrt{\dfrac{L}{32}}\bigg)^2\\\\\\\bigg(\dfrac{35}{44}\bigg)^2=\dfrac{L}{32}\\\\\\32\bigg(\dfrac{35}{44}\bigg)^2=L\\\\\\\large\boxed{20.25=L}[/tex]

Solving by fractions

Answers

Answer: Step 3

Step-by-step explanation:

x = -9 or 1.  She flipped the signs.

Hope it helps <3

━━━━━━━☆☆━━━━━━━

▹ Answer

Step 3

▹ Step-by-Step Explanation

Juliet flipped the signs. The final answer should be (-9, 1)

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

a polynomial of degree N has n​

Answers

Answer:

see explanation

Step-by-step explanation:

According to the Fundamental theorem of Algebra.

A polynomial of degree n has n roots which may be real or complex or both.

Answer:

The Fundamental Theorem of Algebra says that a polynomial of degree n will have exactly n roots

(counting multiplicity)

Leo takes 15 minutes to cycle to school at an average speed of 12 km/h. What speed will he have if he only takes 12 minutes?

Answers

Answer:

15 km/h

Step-by-step explanation:

Leo takes 15 minutes to cycle to school at an average speed of 12 km/h. What speed will he have if he only takes 12 minutes?

15 minutes * (1 hour)/(60 minutes) = 0.25 hour

speed = distance/time

distance = speed * time

distance = 12 km/h * 0.25 hour = 3 km

He cycles a distance of 3 km.

12 minutes * (1 hour)/(60 minutes) = 0.2 hour

speed = distance/time

speed = 3 km/(0.2 hour)

speed = 15 km/h

Suppose the area of a circle is 201.0624 square feet. What's the diameter of the circle? (Use π = 3.1416.)

Answers

Answer:

16

Step-by-step explanation:

Area of circle Formula: A = πr²

d = 2r

Simply plug in what you know:

201.0624 = 3.1416r²

64 = r²

r = 8

d = 2(8)

d = 16

Please answer this correctly

Answers

Answer:

4/5 chance

Step-by-step explanation:

There are 4 numbers that fit the rule, 1, 3, 4, 5, since all of them are either odd or greater than 3. There will be a 4/5 chance of picking one.

Answer:

4/5 is the answer.

Step-by-step explanation:

Facts!

This is because 5 is odd and greater than 3.

Also. 4 is greater than 3.

After that, the other odd numbers are 1 and 3

So the numbers are 1, 3, 4, and 5.

So 4 out of 5 numbers are counted in the circle.

In this way 4/5 is the answer.

4/5 is the answer.

Hope this helped!

Kavitha

Consider the initial value problem y' + 3y = 9t, y(0) = 7.
a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below).
b. Solve your equation for Y(s).
Y(s) = L {y(t)} =
c. Take the inverse Laplace transform of both sides of the previous equation to solve for y(t).
y(t) =

Answers

Answer:

[tex]y(t) = 3x+8e^{-3x} -1[/tex]

Step-by-step explanation:

Recall that the following laplace transforms

[tex]L(y') = sY(s)-y(0)[/tex]

[tex]L(t) = \frac{1}{s^2}[/tex]

The laplace transform is linear, so, applying the laplace transform to the equation we get

[tex]L(y'+3y) = sY(s)-7+3Y(s) = L(9t) = \frac{9}{s^2}[/tex]

By some algebraic manipulations, we get

[tex] Y(s)(s+3) = \frac{9+7s^2}{s^2}[/tex]

which is equivalent to

[tex] Y(s) = \frac{9+7s^2}{s^2(s+3)} = \frac{9}{s^2(s+3)}+\frac{7}{s+3}[/tex]

By using the partial fraction decomposition, we get

[tex] \frac{9}{s^2(s+3)} = \frac{-1}{s} + \frac{3}{s^2} + \frac{1}{s+3}[/tex]

then

[tex]Y(s) = \frac{-1}{s} + \frac{3}{s^2} + \frac{1}{s+3} + \frac{7}{s+3} = \frac{8}{s+3} + \frac{3}{s^2}-\frac{1}{s}[/tex]

Using that

[tex] L(e^{-ax}) = \frac{1}{s+a}[/tex]

[tex]L(1) = \frac{1}{s}[/tex]

by taking the inverse on both sides we get

[tex] y(t) = L^{-1}(\frac{8}{s+3})+L^{-1}(\frac{3}{s^2})+L^{-1}(-\frac{1}{s}) = 8e^{-3x} + 3x-1[/tex]

Uytteday.com, student/dashboard/home
Probability Models - Tutorial - Level G
If we want to know if my shuffler is playing an equal
number of slow jams, dance music, and jazz songs,
what do we need to collect data on exactly?​

Answers

Answer:

Ima need the answer too

Step-by-step explanation:

Answer:

the genre

Step-by-step explanation:

Which of the following is equivalent to the polynomial given below?

Answers

Answer:

[tex](x+(3+\sqrt{11}i)) (x+(3-\sqrt{11}i))[/tex]

Step-by-step explanation:

The first step to this problem is to look at the key features of the initial expression given to us. Namely, the middle term.

Notice that it is just [tex]+6x[/tex]. This indicates that the square root terms cancel out, meaning that their signs need to be opposite, but the threes need to have the same, positive sign. This indicates that our answer is option C, but you should always double check by multiplying the expression out to confirm. Here are the steps:

[tex](x+(3+\sqrt{11}i)) (x+(3-\sqrt{11}i))[/tex]

[tex]x^{2} +(3+\sqrt{11}i)x+(3-\sqrt{11}i)x+(3+\sqrt{11}i)(3-\sqrt{11}i)[/tex][tex]x^{2}+3x+\sqrt{11}ix+3x-\sqrt{11}ix+9+3\sqrt{11}i-3\sqrt{11}i-(\sqrt{11})^{2}(i^{2})[/tex][tex]x^{2}+6x+9-(11)(-1)[/tex]

[tex]x^{2}+6x+9+11[/tex]

[tex]x^{2}+6x+20[/tex]

Therefore as we suspected, the answer is C.

which of the following is a composite number? 6,1,0,19

Answers

Answer:

63

Step-by-step explanation:

A composite number is an integer which can be found by mulitplying 2 smaller integers, 7 and 9 in this case

6

A composite number is a number that is positive and has a factor that’s not 1 or itself.

CAN SOMEONE HELP ME ASAP







A. 5
B. 53‾√53
C. 10
D. 103√3

Answers

Answer:

n = 5

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 30 = n/ 5 sqrt(3)

5 sqrt(3) tan 30 = n

5 sqrt(3) * 1/ sqrt(3) = n

5 = n

If a person rolls a six-sided die and then draws a playing card and checks its color, describe the sample space of possible outcomes using 1, 2, 3, 4, 5, 6 for the die outcomes and B, R for the card outcomes.

Answers

Answer:

S = {1B, 2B, 3B, 4B, 5B, 6B, 1R, 2R, 3R, 4R, 5R, 6R}

Step-by-step explanation:

The sample space is the set of all possible outcomes in the experiment of rolling a six-sided die and then drawing a playing card and checking its color.

There are 6 possible outcomes for the die roll and two for the color of the card, which yields a total of 12 possible outcomes. The sample space is:

S = {1B, 2B, 3B, 4B, 5B, 6B, 1R, 2R, 3R, 4R, 5R, 6R}

6) BRAINLIEST & 10 + POINTS!

Answers

Answer:

the height of the building is approximately 134 yards

Step-by-step explanation:

Recall that i order to use the arc-length formula:

[tex]arc\,\,length=R\,\theta[/tex]

we know the radius R, but the angle [tex]\theta[/tex] must be given in radians. Then we convert [tex]4.5^o[/tex] to radians, and then use 1700 yards as the radius in the formula.

[tex]4.5^o*\frac{\pi}{180} =0.07854[/tex]

Therefore, the arc length formula would render:

[tex]arc\,\,length=R\,\theta\\arc\,\,length=1700\,(0.07854)=133.518\, yards[/tex]

which rounded to the nearest yard becomes: 134 yards

Answer:

≈ 134 yards

Step-by-step explanation:

Arc length formula:

s= rθ

s = arc length (in radians)

r = radius

θ = central angle in radians

-------

Given,

s= 1700 yards

θ= 4.5°, converted to radians: 4.5°*π/180°= 0.0785

So the arc length:

s= 1700*0.0785= 133.45 ≈ 134 yards

The point P(7, −2) lies on the curve y = 2/(6 − x). (a) If Q is the point (x, 2/(6 − x)), use your calculator to find the slope mPQ of the secant line PQ (correct to six decimal places) for the following values of x.
(i) 6.9
mPQ = 1
(ii) 6.99
mPQ = 2
(iii) 6.999
mPQ = 3
(iv) 6.9999
mPQ = 4
(v) 7.1
mPQ = 5
(vi) 7.01
mPQ = 6
(vii) 7.001
mPQ = 7
(viii) 7.000
mPQ = 8
(b) Using the results of part (a), guess the value of the slope m of the tangent line to the curve at
P(7, −2).
m = 9
(c) Using the slope from part (b), find an equation of the tangent line to the curve at
P(7, −2).

Answers

The equation of the tangent line to the curve at P(7, -2) is y = 2x -16.

For each given value of x, we substitute the coordinates of P and Q into the slope formula to find the slope mPQ.

(i) For x = 6.9:

mPQ = (2/(6 - 6.9) - (-2)) / (6.9 - 7)

= 2.22

(ii) For x = 6.99:

mPQ = (2/(6 - 6.99) - (-2)) / (6.99 - 7)

= 2.020

(iii) For x = 6.999:

mPQ = (2/(6 - 6.999) - (-2)) / (6.999 - 7)

= 2.002002

(iv) For x = 6.9999:

mPQ = (2/(6 - 6.9999) - (-2)) / (6.9999 - 7)

= 2.000200

(v) For x = 7.1:

mPQ = (2/(6 - 7.1) - (-2)) / (7.1 - 7)

= 1.818182

(vi) For x = 7.01:

mPQ = (2/(6 - 7.01) - (-2)) / (7.01 - 7)

= 1.980198

(vii) For x = 7.001:

mPQ = (2/(6 - 7.001) - (-2)) / (7.001 - 7)

= 1.998002

(viii) For x = 7.0001:

mPQ = (2/(6 - 7.0001) - (-2)) / (7.0001 - 7)

= 1.999800

By observing the pattern in the calculated slopes, we can see that as x approaches 7, the slope of the secant line PQ approaches 2.

Using the point-slope form, we have:

y - y₁ = m(x - x₁)

Substituting the values of P(7, -2), we have:

y - (-2) = 2(x - 7)

y = 2x -16

Therefore, the equation of the tangent line to the curve at P(7, -2) is y = 2x -16.

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The population of a town increases by 5 % every five years. Due to a high rate of industrialisation of

the area, the population witnesses a further 5 % increase due to migration from neighbouring places.

Which of the following can be the population of this place, if it is known that the present population of

the place is between 44000 and 45000?
A) 44100
B)44050
C)44200

Answers

Answer:

A

Step-by-step explanation:

Because 105%*105%=1.1205

and the only number divisible by that is A

Please answer this correctly

Answers

Answer:

40%

Step-by-step explanation:

The numbers that are not even are 5 and 7.

2 numbers out of 5.

2/5 = 0.4

P(not even) = 40%

Answer:

[tex]40\%[/tex]

Step-by-step explanation:

5 and 7 are not the numbers

There are 5 numbers in the spinner

[tex]p = \frac{2}{5} \\ = \frac{2 \times 20}{5 \times 20} \\ = \frac{40}{100} \\ = 40\%[/tex]

I have a total of 10 gigabytes of data on my computer, xgigabytes are movies and the rest is music. How many gigabytes of music is stored on my computer?

Answers

Answer:

10-xgigabytes=music

Step-by-step explanation:

Don't know what you mean by xgigabytes.

Answer:

Movies: x gig

pictures: x/2 gig

music:  10 - x - x/2 = 10 - (3/2)x

a.) The perimeter of a rectangular field is 354 m. If the length of the field is 95m, what is its width? b.) The area of a rectangular painting is 8439 cm^2. If the width of the painting is 87cm, what is its length?

Answers

Answer:

a) 82

b) 97

Step-by-step explanation:

a) 354 - (95+95)

354 - 190

164

164 ÷ 2 = 82

(82+82+95+95=254)

b) 8439 cm^2 = 87x

8439 cm^2 ÷ 87 = 87x ÷ 87

97 = x

You own 13 CDs. You want to randomly arrange 5 of them in a CD rack. What is the probability that the rack ends up in alphabetical order?

Answers

Answer:

1/154440

Step-by-step explanation:

To calculate the probability it would be the quotient between 1 and the number of ways to choose 5 out of 13, but in this case the order matters, so it would be the permutation 13P5, therefore:

We know that:

nPr = n! / (n-r)!

we replace and we have:

13P5 = 13! / (13-5)! = 154440

The probability  that the rack ends up in alphabetical order is 1/154440

The probability that the rack ends up in alphabetical order is 1/154440

This is a question relating to permutation and combination. In order to calculate the probability, it would be the permutation 13P5, and this will be:

nPr = n! / (n-r)!

13P5 = 13! / (13-5)!

= 13! / 8!

= 13 × 12 × 11 × 10 × 9

= 154440

Therefore, the probability that the rack ends up in alphabetical order is 1/154440.

Read related link on:

https://brainly.com/question/6034318

y = 2x^4 convert to polar form

Answers

Answer:

The  polar form  is  sinθ  = 2 r³cos⁴θ

Step-by-step explanation:

Explanation:-

Given function y = 2 x⁴

Parametric Form  x = r cosθ ....(i)

                     and y = r sinθ ....(ii)

            squaring  x² = r² cos ²θ

                            y² = r² sin²θ

         adding   x² +  y² = r² cos ²θ+r² s in²θ

                                    =  r²( cos ²θ+s in²θ)

                                   =  r²( 1)

                     x² +  y² =    r²

Given function y = 2 x⁴

Now convert into polar form

                        r sinθ  = 2 (r cos θ )⁴

                         r sinθ  = 2 (r )⁴cos θ )⁴

                           sinθ  = 2 r ³cos⁴θ

The Test Scores for a Statistics course are given in the Excel below.

The data (X1, X2, X3, X4) are for each student.
X1 = score on exam #1
X2 = score on exam #2
X3 = score on exam #3
X4 = score on final exam

Your professor wants to know if all tests are created equal.

What is the F-Stat?

EXAM1 EXAM2 EXAM3 FINAL
73 80 75 65.86667
93 88 93 80.16667
89 91 90 78
96 98 100 84.93333
73 66 70 61.53333
53 46 55 43.76667
69 74 77 64.56667
47 56 60 49.83333
87 79 90 75.83333
79 70 88 71.06667
69 70 73 61.1
70 65 74 61.1
93 95 91 79.73333
79 80 73 65.86667
70 73 78 64.13333
93 89 96 83.2
78 75 68 63.7
81 90 93 79.3
88 92 86 76.7
78 83 77 68.9
82 86 90 76.7
86 82 89 75.83333
78 83 85 75.83333
76 83 71 64.56667
96 93 95 83.2

A.
4.521

B.
5.532

C.
3.331

D.
4.87
2

Answers

Answer:

4.521 ( A )

Step-by-step explanation:

The determine the F-STAT employ the use of one way anova in excel to solve the problem. the way to solve  this using one way anova by excel  is

enter the data given in excel after entering the Data , click on Data analysis, click One way anova, Select data,click on label in first row, then click ok

Attached is the image of the excel solution

What’s the difference between the polynomials ?

Answers

Answer:

7x^2-4x+3y^2      ( the ^ means the exponent EX: 5^2 is 5 squared. )

Step-by-step explanation:

Remove the parenthesis (a) = a

12x^2-11y^2-13x- (5x^2-14y^2-9x)

-(5x^2 - 14y^2 - 9x)

Distribute parenthesis

-(5x^2) - (14y^2) - (-9x)

Apply minus - plus rules

-5x^2 + 14y^2 + 9x

= 12x^2 - 11y^2 - 13x - 5x^2 + 14y^2 + 9x

Simplify

12x^2-11y^2-13x-5x^2+14y^2+9x

Group like terms

12x^2-5x^2-13x+9x-11y^2+14y^2

Add similar elements

7x^2-13x+9x-11y^2+14y^2

Add similar elements ( - 13x + 9x = -4x )

7x^2-4x-11y^2+14y^2

Add similar elements 11y^2 + 14y^2 = 3y^2

7x^2-4x+3y^2

PLEASE HELP! Two complementary angles measure (12x - 18) and (5x +23). What is the measure of the smaller angle? (1) 5 (2) 42 (3) 48 (4) 90

Answers

Answer:

5

Step-by-step explanation:

firstly, what are complementry angles.complementary angles are angles that su

m up to 90°

(12x-18)+(5x+23)=90

collecting like terms

12x+5x+23-18=90

17x-5-90=0

17x-95=0

17x=95

divide through by 17

x=5

The measure of the smaller angle when complementary angles are given is 42 degree.

Complementary AnglesWhat are complementary angles?

Complementary angles are two angles whose total is 90 degrees in geometry. In other terms, complimentary angles are two angles whose sum is 90 degrees. 60° and 30°, for instance.

Calculation for the value of x in the given angles:

The first angle of the triangle is (12x - 18).

The measure of the second angle of the triangle is (5x + 23).

As both angles are complementary, their sum would be equal to 90 degree.

(12x - 18) + (5x + 23) = 90

12x -  18 + 5x + 23 = 90

17x = 85

x = 5

Calculation for the angles.

Substitute the value of x = 5 in the given angles.

(1) 12x - 18 = 12×5 - 18

    = 42 degrees

(2) 5x + 23 = 5×5 +23

    = 48 degrees

Therefore, the smaller angle is found to be 42 degrees.  

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Can someone answer these questions dm me or just do it in the comments.

Answers

Answer:

1. 8/4+ 3= 5

2. 5/(10/2)= 1

3. 5+10/2=10

4. 8/2+5x5= 29

5. 5+3/15+2= 10.15

6. 30+6x11-11= 25.11

7. 12 + (19+2) / 3 =19

Step-by-step explanation:

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

Student name : Aparna Guha

Class : 8th

Division : B

School : St. John's Marhauli

Suggested subject : Maths

Work given on : 08 : 07 : 2020

Completed on : 08 : 07 : 2020

Posted on : 08 : 07 : 2020

Topic : Worksheet 1

Teacher's name : Manish Goel

School name : St. John's Marhauli

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

What is the solution to this system of linear equations? x − 3y = −2 x + 3y = 16

Answers

Answer:

so x=5 1/3 and

y= -2 2/3

Step-by-step explanation:

x-3y= -2x+3y=16. First we need to move all variables to one side of the equation and whole numbers to the other side of the equation. I see

x-3y+2x-3y=16. -3y-3y equals to -6y. 2x+x=3x. so 3x-6y=16. Lets take out the -6y so our equation would be 3x=16. x would equal 5 1/3. Now lets put back -6y into our equation. Let's now substitute x as 0. 3 times 0 equals 0 so our equation would now be -6y=16 which equals to -2 2/3.

so x=5 1/3 and

y= -2 2/3

Answer: ( x = -32, y = -16 )

Step-by-step explanation:

This can be represented by the three sides of an equilateral triangle.

x - 3y = -2x + 3y , simplify

x + 2x - 3y - 3y = 0

3x - 6y =0

x - 2y = 0 ---------------------- 1

x - 3y. = 16 ---------------------2

Solve using any methods

By elimination

y. = -16.

Substitute for y in any of the equations

x - 2y = 0

x. - 2(-16) = 0

x + 32 = 0

Therefore

x. = -32

Solution is ( -32, -16 )

Find the measure of angle angle AEB in the figure below. Enter only the number. PLEASE HELP ASAP

Answers

Answer:

42°

Step-by-step explanation:

AD is a line

AEC and DEC are both 90°

AEB and CEB make up 90°

AEB+CEB=AEC substitute

AEB+48=90 Next use Subtraction property of equality

AEB=42

Hope this helps, if so please give me brainliest, it helps a lot. :)

Have a good day!

Answer:

∠AEB=42

Step-by-step explanation:

∠AEB and ∠BEC are inside of ∠AEC.

∠AEC is a right angle, Since ∠AEC and ∠CED are on a straight line, they must add to 180 degrees. ∠CED is a right angle (the little square in the corner tell us this), so ∠AEC must also be a right angle. This is because a right angle is 90 degrees (∠CED+∠AEC=180 --> 90+∠AEC=180 --> ∠AEC=90)

Therefore, the 2 angles (AEB and BEC) inside of ∠AEC must add to 90 degrees.

∠AEB+ ∠BEC= 90

We know that ∠BEC=48

∠AEB+48=90

We want to find out what ∠AEB is. We must get ∠AEB by itself. 48 is being added, and the inverse of addition is subtraction. Subtract 48 from both sides.

∠AEB+48-48=90-48

∠AEB=90-48

∠AEB=42

Determine the slope of the line that has the following coordinates: (5, 9)(11, - 3)

Answers

Answer:

[tex] x_1 = 5, x_2 =11, y_1 =9, y_2 = -3[/tex]

The slope can be founded with this formula:

[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]

And replacing we got:

[tex] m =\frac{-3 -9}{11-5}= -2[/tex]

And the best answer for this case would be :

[tex]m=-2[/tex]

Step-by-step explanation:

For this case we have the following two points given:

[tex] x_1 = 5, x_2 =11, y_1 =9, y_2 = -3[/tex]

The slope can be founded with this formula:

[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]

And replacing we got:

[tex] m =\frac{-3 -9}{11-5}= -2[/tex]

And the best answer for this case would be :

[tex]m=-2[/tex]

Bi-Ready
Sofia
The area of a rectangle is square foot. The width of the rectangle is 2 feet. What is the length
the rectangle?

Answers

Answer:

The length of the rectangle is [tex]\dfrac{ 1}{3} \text{ feet}[/tex] .

Step-by-step explanation:

The complete question is: The area of a rectangle is 7/9 square feet. The width of the rectangle is 2 1/3 feet. What is the length of the rectangle?

Let the length of the rectangle be represented as 'L' and the width of the rectangle be represented as 'W'.

As we know that the area of the rectangle is given by;

  Area of rectangle =  Length of rectangle [tex]\times[/tex] Width of rectangle

                                   Or

                       A  =  L [tex]\times[/tex] W

Here, we know the value of A = 7/9 square feet and W = 2 1/3 feet.

SO,        [tex]\frac{7}{9} = \text{L} \times 2\frac{1}{3}[/tex]

             [tex]\frac{7}{9} = \text{L} \times \frac{7}{3}[/tex]

              [tex]\text{L} = \frac{7\times 3}{9\times 7}[/tex]

              [tex]\text{L} = \frac{ 1}{3} \text{ feet}[/tex]

Hence, the length of the rectangle is [tex]\frac{ 1}{3} \text{ feet}[/tex] .

13. Mr. Ralph took out a 10-year term policy with a face value off dollars. Over the lifetime of the policy, he pays monthly payments of m dollars. He dies after 12 years. How much will his family receive
from the insurance company?

Answers

Answer:

  0

Step-by-step explanation:

There will be no death benefit. The policy expired after 10 years.

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