Find the coordinates of the vertices of the figure after a rotation of 180°.

Answer:

950

Step-by-step explanation:

2500(0.076)(5)  = 950

Answer:

6.5 ft

Step-by-step explanation:

When we draw out our picture of our triangle and label our givens, we should see that we need to use cos∅:

cos57° = x/12

12cos57° = x

x = 6.53567 ft

Multiply price per pound by total pounds:

2.50 x 3.5 = 8.75

Total cost = $8.75

Answer:

The cost is $8.75  for 3.5 lbs

Step-by-step explanation:

The rate is 2.50 per pound

Multiply the number of pounds by the rate

3.5 * 2.50 =8.75

The cost is $8.75  for 3.5 lbs

Answer:

x = 3

y = 1

Step-by-step explanation:

The equations are:

[tex]x^3+y^7 = 28[/tex]

and

[tex]x^3 = 27[/tex]

Putting second equation in the first one:

=> [tex]27+y^7 = 28[/tex]

Subtracting 27 to both sides

=> [tex]y^7 = 28-27[/tex]

=> [tex]y^7 = 1[/tex]

Taking power 7 to both sides

=> y = 1

Now,

[tex]x^3 = 27[/tex]

Taking cube root on the both sides

x = 3

Answer: (3,1)

Step-by-step explanation:

First, to find x, simply take the cube root of 27, or 3.  Thus, x = 3.

Then, simply plug it in:

[tex]27+y^7=28\\Subtract(27)\\y^7=1\\y=1[/tex]

Thus, y = 1

Hope it helps <3

p.s. for some reason, in a graphing calculator, it shows no solutions

Hope it helps <3

2 in a row!

Answer:

(a) Probability that a random sample of n = 45 oil changes results in a sample mean time < 10 ​minutes i=0.0001.

(b) The mean oil-change time is 15.55 minutes.

Step-by-step explanation:

Let us denote the sample mean time as x

From the Then x = mean time = 16.2 minutes

  The given standard deviation = 3.4 minutes

The value of  n sample size = 45

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

Answer:

3, 12

Step-by-step explanation:

Et x and y be the required integers.

Case 1: x = 5y - 3...(1)

Case 2: xy = 36

Hence, (5y - 3)*y = 36

[tex]5 {y}^{2} - 3y = 36 \\ 5 {y}^{2} - 3y - 36 = 0 \\ 5 {y}^{2} - 15y + 12y - 36 = 0 \\ 5y(y - 3) + 12(y - 3) = 0 \\ (y - 3)(5y + 12) = 0 \\ y - 3 = 0 \: or \: 5y + 12 = 0 \\ y = 3 \: \: or \: \: y = - \frac{12}{5} \\ \because \: y \in \: I \implies \: y \neq - \frac{12}{5} \\ \huge \purple{ \boxed{ \therefore \: y = 3}} \\ \because \: x = 5y - 3..(equation \: 1) \\ \therefore \: x = 5 \times 3 - 3 = 15 - 3 = 12 \\ \huge \red{ \boxed{ x = 12}}[/tex]

Hence, the required integers are 3 and 12.

let

x  = one integer

y = another integer

x = 5y - 3

If the product of the two integers is 36, then find the integers.

x * y = 36

(5y - 3) * y = 36

5y² - 3y = 36

5y² - 3y - 36 = 0

Solve the quadratic equation using factorization method

That is, find two numbers whose product will give -180 and sum will give -3

Note: coefficient of y² multiplied by -36 = -180

5y² - 3y - 36 = 0

The numbers are -15 and +12

5y² - 15y + 12y - 36 = 0

5y(y - 3) + 12 (y - 3) = 0

(5y + 12) (y - 3) = 0

5y + 12 = 0      y - 3 = 0

5y = - 12           y = 3

y = -12/5

The value of y can not be negative

Therefore,

y = 3

Substitute y = 3 into x = 5y - 3

x = 5y - 3

x = 5(3) - 3

= 15 - 3

= 12

x = 12

Therefore,

(x, y) = (12, 3)

Read more:

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Answer:

  $1,021,337.13

Step-by-step explanation:

The sum of present values of medical expenses is ...

  30,000/1.05 +30,000(1.0513)/1.05^2 +30,000(1.0513^2)/1.05^3 +...

So, the series has an initial value of 30,000/1.05 and a common ratio of 1.0513/1.05. Its sum is given by ...

  S = a(r^n -1)/(r -1)

where a = 30,000/1.05, n = 35, r = 1.0513/1.05.

Filling in these values and doing the arithmetic, we get ...

  S = $1,021,337.13

You need an initial deposit of $1,021,337.13 to cover rising expenses for 35 years.

Answer:

5/16

Step-by-step explanation:

Use the formula to find slope when 2 points are given.

m = rise/run

m = y2 - y1 / x2 - x1

m = 3 - 8 / -10 - 6

m = -5 / -16

m = 5/16

The slope of the line is 5/16.

Answer: m=5/16

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. The length of the vertical leg of the triangle is the magnitude of the difference between the y-coordinate of the point on the circle and the y-coordinate of the center:

  |y -2|

2. The length of the horizontal leg of the triangle is the magnitude of the difference between the x-coordinate of the point on the circle and the x-coordinate of the center:

  |x -3|

3. The Pythagorean theorem tells you the sum of the squares of the leg length is equal to the square of the hypotenuse length. The hypotenuse is given as 6, so the equation is ...

  [tex]|y-2|^2 +|x-3|^2=6^2[/tex]

Since the square of a number is the same as the square of its magnitude, we can write this as ...

  [tex](x-3)^2+(y-2)^2=36[/tex]

The area bounded by region between the curve [tex]y = x^2- 24[/tex]  and [tex]y = 1[/tex] is

[tex]0[/tex] square units.

To find the Area,

Integrate the difference between the two curves over the interval of intersection.

Find the points of intersection between the curves [tex]y = x^2- 24[/tex] and [tex]y = 1[/tex] .

The point of Intersection is the common point between the two curve.

Value of [tex]x[/tex] and [tex]y[/tex] coordinate  will be equal for both curve at point of intersection

In the equation [tex]y = x^2- 24[/tex], Put the value of [tex]y = 1[/tex].

[tex]1 = x^2-24[/tex]

Rearrange, like and unlike terms:

[tex]25 = x^2[/tex]

[tex]x =[/tex]  ±5

The point of intersection for two curves are:

[tex]x = +5[/tex]  and  [tex]x = -5[/tex]

Integrate the difference between the two curve over the interval [-5,5] to calculate the area.

Area =   [tex]\int\limits^5_{-5} {x^2-24-1} \, dx[/tex]

Simplify,

[tex]= \int\limits^5_{-5} {x^2-25} \, dx[/tex]

Integrate,

[tex]= [\dfrac{1}{3}x^3 - 25x]^{5} _{-5}[/tex]

Put value of limits in [tex]x[/tex] and subtract upper limit from lower limit.

[tex]= [\dfrac{1}{3}(5)^3 - 25(5)] - [\dfrac{1}{3}(-5)^3 - 25(-5)][/tex]

= [tex]= [\dfrac{125}{3} - 125] - [\dfrac{-125}{3} + 125][/tex]

[tex]= [\dfrac{-250}{3}] - [\dfrac{-250}{3}]\\\\\\= \dfrac{-250}{3} + \dfrac{250}{3}\\\\\\[/tex]

[tex]= 0[/tex]

The Area between the two curves is [tex]0[/tex] square  units.

Learn more about Integration here:

https://brainly.com/question/30402524

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Answer:

B) 65

Step-by-step explanation:

Plug in the corresponding numbers to the corresponding variables:

w = -4 ; v = 5 ; u = 2

4w² - v + 3u

4(-4²) - (5) + 3(2)

Remember to follow PEMDAS.

PEMDAS =

Parenthesis

Exponents

Multiplications

Division

Addition

Subtraction

& is the order of operation.

First, solve the power:

4(-4²) - (5) + 3(2)

(-4²) = (-4)(-4) = 16

Next, multiply:

4(16) - 5 + 3(2)

64 - 5 + 6

Finally, combine the terms:

(64 + 6) - 5

70 - 5

65

B) 65 is your answer.

~

Answer:

P [  x  >  508 ]  = 0,2

Step-by-step explanation:

P [  x  >  508 ]  = 1 -  P [ x ≤ 508]

P [ x ≤ 508 ]   =   ( 508 - 500 ) / 10

P [ x ≤ 508 ]   =  8/10

P [ x ≤ 508 ]   =  0,8

Then

P [  x  >  508 ]  = 1 -  P [ x ≤ 508]

P [  x  >  508 ]  = 1 - 0,8

P [  x  >  508 ]  = 0,2

Answer:

C. -4/3

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes.

We know that line m is perpendicular to line l.

Line l has a slope of 3/4. To find the slope of line m, find the negative reciprocal of 3/4.  Negate the fraction and find the reciprocal.

Negative: switch the sign

3/4 --> -3/4

Reciprocal: switch the numerator (top number) and denominator (bottom number)

-3/4 --> -4/3

Line m has a slope of -4/3 and C is correct.

Answer:

(38.8%...7/10), than (47%...8/17) I didnt know if u needrd it in fraction or percent.

Step-by-step explanation:

You want to first add up everyone. So in total there are 18 people.

There is than a 38.8% chance that a independent will be picked first. 7/18.

But since one person was picked already you have to subtract 1 person from the total, so now its out of 17.

There is now a 47% chance that a democrat will be picked next. 8/17.

Answer:

The 90% onfidence interval for the mean number of cans that all of the families in the city recycle per month is between 129.34 and 150.66 cans per month

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.74

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.74\frac{26}{\sqrt{18}} = 10.66[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 140 - 10.66 = 129.34 cans per month

The upper end of the interval is the sample mean added to M. So it is 140 + 10.66 = 150.66 cans per month.

The 90% onfidence interval for the mean number of cans that all of the families in the city recycle per month is between 129.34 and 150.66 cans per month

Answer:

  11/10

Step-by-step explanation:

The area ratio is the square of the radius ratio (k):

  (121/100) = k²

  k = √(121/100) = 11/10

The ratio of radii is 11/10.

Answer:

x= -3, y= -5

or x= 5, y=3

Step-by-step explanation:

① Label the 2 equations

x² +y²= 34 -----(1)

3x -3y= 6 -----(2)

From (2):

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

Notice that (x-y)²= x² -2xy +y²

Thus, (equation 3)²= (equation 1) -2xy

Squaring (3):

(x -y)²= 2²

(x -y)²= 4

Expand terms in bracket:

x² -2xy +y²= 4

x² +y² -2xy= 4 -----(4)

subst. (1) into (4):

34 -2xy= 4

2xy= 34 -4 (bring constant to 1 side)

2xy= 30 (simplify)

xy= 30 ÷2 (÷2 throughout)

xy= 15 -----(5)

From (3):

x= y +2 -----(6)

I'll rewrite 2 of the equations.

x= y +2 -----(6)

xy= 15 -----(5)

Subst. (6) into (5):

y(y+2)= 15

y² +2y= 15

y² +2y -15= 0

(y +5)(y -3)=0

y+5= 0 or y-3=0

y= -5 or y= 3

Subst. into (6):

x= -5 +2 or x= 3 +2

x= -3 or x= 5

Answer:

y=-5,                 y=3

x=-3.,                x=5

Step-by-step explanation:

x^2+y^2=34

3x-3y=6

isolate x in te equation

3x-3y=6

x=3/3 y+6/3

x=y+2

plug the y+2 in the equation:

x^2+y^2=34

(y+2)^2+y^2=34

y^2+4y+4+y^2=34

2y^2+4y=34-4

2y^2+4y=30 divide by 2

y^2+2x-15=0 factorize

(y+5)(y-3)=0 eiter y+5=0 ten y=-5 or y-3=0 then y=3

now plug the solution in the equation

3x-3y=6

3x-3(-5)=6

3x=6-15

x=-9/3=-3

for y=3

3x-3y=6

3x-9=6

3x=15

x=5

Answer:

x⁴ = -0.955939

x³ = 0.206897

x² = -2.07471

x = 2.65517

Step-by-step explanation:

Step 1: Rewrite equations in standard form

30x⁴ - 5x³ - 10x² + 3x = -1

-3x⁴ + 5x³ + 7x² + 4x = 0

-3x⁴ + x³ + x² = 1

6x⁴ - 10x³ - 2x² + x = -1

Step 2: Write in matrix form

Top Row: [30 -5 -10 3 | -1]

2nd Row: [-3 5 7 4 | 0]

3rd Row: [-3 1 1 0 0 | 1]

Bottom Row: [6 -10 -2 1 | -1]

Step 3: Plug in calc with RREF function

Top Row: [1 0 0 0 | -499/522]

2nd Row: [0 1 0 0 | 6/29]

3rd Row: [0 0 1 0 | -361/174]

4th Row: [0 0 0 1 | 77/29]

Answer: 0.0023

Step-by-step explanation:

Let X be the binomial variable that represents the number of receipts will show that the above three food items were ordered.

probability of success p = 32% = 0.32

Sample size : n= 10

Binomial probability function :

[tex]P(X=x)= \ ^nC_xp^x(1-p)^{n-x}[/tex]

Now, the probability that eight receipts will show that the above three food items were ordered :

[tex]P(X=8)=\ ^{10}C_8(0.32)^8(1-0.32)^2\\\\=\dfrac{10!}{8!2!}(0.32)^8(0.68)^2\\\\=5\times9(0.0000508414176684)\\\\=0.00228786379508\approx0.0023[/tex]

hence, the required probability = 0.0023

Answer:

[tex]\boxed{Option A ,D}[/tex]

Step-by-step explanation:

The remote (non-adjacent) interior angles of the exterior angle 1 are <4 and <6

Answer:

B

Step-by-step explanation:

y=n(x+5)(x-3)

or y=n(x²-3x+5x-15)

or y=n(x²+2x-15)

=n(x²+2x+1-1-15)

=n(x+1)²-16n

y -coordinate of vertex=-16n

Answer:

13.89%

Step-by-step explanation:

The probability when two dices are rolled and their sum is 8 is shown below:

But before that we need to see the probabilities of the sum i.e 8

2 + 6 = 8

3 + 5 = 8

4 + 4 = 8

5 + 3 = 8

6 + 2 = 8

There are 5 outcomes

And, the two dice is 36 i.e square of 6

So, the probability of  two dices are rolled and their sum is 8 is

= [tex]\frac{5}{36}[/tex]

= 13.89%

Answer:

45

Step-by-step explanation:

I really don't but it seems right

Answer:

b

Step-by-step explanation:

just did it on edge

Answer:

Expected profit policy 1 = $40

Expected profit policy 2 = $20

Expected profit policy 3 = $10

Step-by-step explanation:

X values     |    Probability P(x)

0                 |        0.80

1,000          |        0.08

5,000         |        0.10

10,000       |        0.02

A particular company offers three different policies:

Policy 1: $200 deductible with a $780 premium

Policy 2: $500 deductible with a $700 premium

Policy 3: $1000 deductible with a $590 premium

The company pays  X - Y in damages if X > Y and 0 otherwise.

So the expected profit is given by

Expected profit = Premium amount - Expected payout

Expected profit = Premium amount - [ (X - deductible) × P(x) ]

Expected profit Policy 1:

E(x) = $780 - [ 0×0.80 + (1,000 - 200)×0.08 + (5,000 - 200)×0.10 + (10,000 - 200)×0.02 ]

E(x) = $780 - [ 0 + 64 + 480 + 196 ]

E(x) = $780 - $740

E(x) = $40

Expected profit Policy 2:

E(x) = $700 - [ 0×0.80 + (1,000 - 500)×0.08 + (5,000 - 500)×0.10 + (10,000 - 500)×0.02 ]

E(x) = $700 - [ 0 + 40 + 450 + 190 ]

E(x) = $700 - $680

E(x) = $20

Expected profit Policy 3:

E(x) = $590 - [ 0×0.80 + (1,000 - 1,000)×0.08 + (5,000 - 1,000)×0.10 + (10,000 - 1,000)×0.02 ]

E(x) = $590 - [ 0 + 0 + 400 + 180 ]

E(x) = $590 - $580

E(x) = $10

Therefore, the expected profits for the three policies are:

Expected profit policy 1 = $40

Expected profit policy 2 = $20

Expected profit policy 3 = $10

Answer:

85.932 cm³

Step-by-step explanation:

The volume of rectangular prism is obtained as the product of its length (l) by its width (w) and by its height (h):

[tex]V=l*w*h[/tex]

The volume of a prism with a length of 4.4 cm, a width of 3.1 cm, and a height of 6.3 cm is:

[tex]V=4.4*3.1*6.3\\V=85.932\ cm^3[/tex]

The volume of this prism is 85.932 cm³.

Answer:

3,145,728

Step-by-step explanation:

x1.6

300000 x 1.6 = 4800000

480000 x 1.6 = 7680000

768000 x 1.6 = 1228800

122800 x 1.6 = 1966080

1966080 x 1.6 = 3145728

Answer:

Dy/Dx=1/√ (2x+3)

Yeah it's correct

Step-by-step explanation:

Applying differential by chain differentiation method.

The differential of y = √(2x+3) with respect to x

y = √(2x+3)

Let y = √u

Y = u^½

U = 2x +3

The formula for chain differentiation is

Dy/Dx = Dy/Du *Du/Dx

So

Dy/Dx = Dy/Du *Du/Dx

Dy/Du= 1/2u^-½

Du/Dx = 2

Dy/Dx =( 1/2u^-½)2

Dy/Dx= u^-½

Dy/Dx=1/√ u

But u = 2x+3

Dy/Dx=1/√ (2x+3)

Answer:

the answer i got was (16/3,16/3)

Step-by-step explanation:

Answer:

y = x/6 − 11/6

Step-by-step explanation:

y = 6x + 11

To find the inverse, switch x and y, then solve for y.

x = 6y + 11

x − 11 = 6y

y = x/6 − 11/6